text:
A quadratic equation is a polynomial equation in one unknown that contains the second degree, but no higher degree, of the variable. Math-U-See Geometry Test Book -- $9 ppd. (this could take a moment) Toggle navigation Delta Math. check for #5 7. Chapter 9 Transformations 461 Transformations Make this Foldable to help you organize the types of transformations. Geometry Problems and Questions with Answers for Grade 9. Welcome to the timed math drill page at tlsbooks. offer Math K-7 Math u See - Beta. Copy A Teaching Textbooks Geometry 2. Math Prep 1; Math Prep 1 Answer Key; Math Prep 2; Math Prep 2. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. We have a large amount of high quality reference materials on matters varying from simplifying to algebra course. Math for Everyone. In order to help us ease into each week, Mondays will be "review" days and will encompass a short delta math on a concept we have already learned (but is really important for math in general!) 4. Congruency, Similarity, Right Triangles, and Trigonometry - Teacher 5 MAFS. Mouths of rivers, which are often triangular in shape are, therefore, also called deltas. ADVANCED MATHEMATICS SCOPE AND SEQUENCE. Math U See Geometry Lesson 4. After you plug (7) and (8) into (1), you get a quadratic equation, you simply need to solve it using z= (-b+-sqrt (b^2-4*a*c))/ (2*a) where a is the coefficient of z^2, b of z and c is the free coefficient, then plug z into (7) and (8) to get x and y. This week there is a Delta Math assignment titled Similarity/Interior and Exterior Angles. This is a hands-on curriculum that uses workbooks, videos and manipulative blocks to teach math concepts. TEST REVIEW. Algebra, Linear. 1 n/a 30 Selected Response 2 Algebra 7. Types of Angles | Classifying Angles Worksheets Gain a deep understanding of classifying angles with these printable worksheets, diligently prepared for students of grade 4, grade 5, and grade 6. In this case it should be "Professor Delta used chemical poisoning in the library". Geometry Chapter11 Test Form 3 Answer Key Geometry Chapter11 Test Form 3 Right here, we have countless books Geometry Chapter11 Test Form 3 Answer Key and collections to check out. Unlike reading, where we always work left-to-right, sometimes with math we need to work one part of a problem before another, or the final answer could be incorrect!. Answer Key Posted Later #4 answer should be 4. The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right). 1 Day 2 Worksheet (10/20) Sections 4. Fisher | Feb 15, 2007 4. Our mission is to provide a free, world-class education to anyone, anywhere. MathScore is fun, but the real magic is the improved confidence and grittiness that MathScore instills. Read/Download File Report Abuse. Check your answers. HW: Delta Math assignment named "Unit 2 Problem Set" AND do a journal on any one question from the Delta Math assignment. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Begin with one sheet of notebook paper. pdf: File Size: 247 kb: File Type: pdf: Download File. Practice questions are randomly selected and their answers appear randomly each time. Also, to be honest, I thought it sounded boring. Julie King. An answer key is included! If you have any questions, comments, suggestions, etc, please email me at: [email protected] These worksheets start off very basic in nature and they have you draw a perpendicular bisector to a fixed line that you create as well. Math High school geometry Analytic geometry Parallel & perpendicular lines on the coordinate plane. Generally, two triangles are said to be similar if they have the same shape, even if they are scaled, rotated or even flipped over. Math-U-See is a complete, skill-based, multi-sensory homeschool math curriculum for grades K-12 that’s designed to teach students skills in a logical sequence. 13) Study Guide - KEY. Question 7 Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5). Math Vocabulary! List of ESL Math vocabulary words and Math terms in English with pictures. Eureka Math Equip. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Writing Equations of Lines Notes Delta Math - Submit previous work by 11:30 pm Tonight for Credit. Configure your practice problems by answering the question on the right, then click "Do it!". Lesson 2-3 Translating Between Tables and Expressions Lesson 2-4 Equations and Their Solutions. Student Objective(s):. Create a Polynomial Algebra Worksheet This page will create a practice worksheet for you, dealing with polynomials. Sample 7th Grade Contest from 2018-2019 - Solutions. And stop by LinkSTORM where we reveal why clowns are so damn scary. 1 & 92 Mach system 0f equations. Course 3 Text. 05-29-20 Circle Proofs Day 1 Answer Key 05-29-20 Delta Math Graded Assignment 05-28-20 Circle Proofs Day 1 Video (find handout under handouts) 05-27-20 Arc Length Answer Key 05-27-20 Zoom - Catch up Lesson 05-26-20 Arc Length Video (find handout under handouts) 05-22-20 Area of Sectors Answer Key 05-22-20 Delta Math Graded Assignment 05-21-20. DE + EF = DF. com: Key To Algebra Answers & Notes For Books 1-4 (9781559530132) : Julie King, Peter Rasmussen: Books. We are here to assist you with your math questions. Today's optional zoom session is at 11:30. Students will be expected to draw on their prior knowledge to approach Math 1 and Math 2 topics at a. Click "Make Answer Key" button to generate a printable answer key Click "Make Both" button to generate both worksheet(s) and answer key(s) in one step For now, choices are limited to lessons that deal primarily with computation, and the lessons end at PreAlgebra Lesson 17. Geometry Chapter 9 Cumulative Test Answer Honors geometry final test review (cumulative) chapters 5-9 page 1 of 6 m n o c d e 7 2t t 33 37 a b b aa. It has 3 titles and its missing the 3 authors. Includes WJEC specification, module C4. Carter, Julie - Math; Castillo, Maria - World Language; Chodrow, Elizabeth - Fine Arts; Geometry Summer Packet Key. Chapter 4. Free Geometry calculator - Calculate properties of planes, coordinates and 3d shapes step-by-step This website uses cookies to ensure you get the best experience. Grade 4 » Number & Operations—FractionsÂ¹ » Build fractions from unit fractions. Math-U-See Geometry is typically a good fit for a student entering ninth grade; to find the Math-U-See level that best fits your child you can try the placement test here. This is a list of mathematical symbols used in all branches of mathematics to express a formula or to represent a constant. Slt 7 - aDDITION rULE (or) Google Form Practice Quiz. com and sign in as a Student. Unit 2 Congruence - Proofs - Quadrilaterals. For example, if the variable "x" stands for the movement of an object, then "Δx" means "the change in movement. Math 3 Honors is the stepping stone for the upper level mathematics. ) Quizlet: to practice vocab and theorems here. delta math answers geometry Define greatest common factor - answers. Holt Economics. The answer depends on the context. Teaching resources for mathematics teachers, a question and answer service for teachers and students, careers of mathematicians, a problem of the month and more. We are here to assist you with your math questions. (this could take a moment) Toggle navigation Delta Math. When it comes to using linear systems to solve word problems, the biggest problem is recognizing the important elements and setting up the equations. In this tutorial the author shows how to find out the missing side of a triangle which is similar to an other triangle. Trigonometry is a branch of mathematics. Study Guide Zone – study guide and resources. Mount Nittany Middle School. We expect you enjoyed it and if you need to download the photo in high quality, simply just click the photo and you will be redirected to the download page of Triangle Congruence Worksheet 1. Geometry CC Honors Notes 05-29-20 Circle Proofs Day 1 Answer Key 05-29-20 Delta Math Graded Assignment 05-28-20 Circle Proofs Day 1 Video (find handout under handouts) 05-27-20 Arc Length Answer Key 05-27-20 Zoom - Catch up Lesson. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. Scaffolding learners to real world projects. Rather than enjoying a good book with a cup of coffee in the afternoon, instead they cope with some infectious virus inside their desktop computer. Delta Math Code and HW Answer Keys Delta Math homework assignments will be posted during the academic year. Mcdougal littell geometry answers key Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC. Here is a non-intimidating way to prepare students for formal geometry. Copy A: Saxon Math 54 DIVE cd, 2nd Ed. Some of the worksheets for this concept are 3 parallel lines and transversals, Work section 3 2 angles and parallel lines, Parallel lines cut by a transversal, Parallel lines transversals 8th grade geometry work, Parallel lines transversals. Math can be an. Common Core Algebra II Unit Reviews. Covers arithmetic, algebra, geometry, calculus and statistics. ADVANCED MATHEMATICS SCOPE AND SEQUENCE. 12) Unit 3 Study Guide (Thursday 9. This is a suitable resource page for fifth graders, teachers and parents. Lesson 2 Homework Practice Volume Of Cones Answers -> DOWNLOAD lesson 2 homework practice volume of cones answerslesson 2 homework practice volume of cones answer key cd4164fbe1 Chapter 12 Resource Masters. Find the new coordinates of the vertices after the given reflection. The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2} where c is the longest side of a right triangle (also known as the. check for #9 Delta Placement Pre/Post Test LA LACM R 1 Answer Key. Moreover, the collaboration has seen our math answers helpers acquire in-depth knowledge through training, seminars, workshops, and conferences. Answer the question in a complete sentence. Kennedy High School in Bellmore, New York. Delta in math is generally symbolized as the triangle. By using these materials, students will become familiar with the types of items and response formats they may see on a computer-based test. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. Get homework answers from experts in math, physics, programming, chemistry, economics, biology and more. M:\TEXTBOOKS\Access codes\Online Access Codes. If there are 50 basic math teachers, how many teachers are there in the school?. Thank you to all of you that have been working hard on your math lessons. Keyword CPC PCC Volume Score; delta math: 1. Friday, April 25 - Today is your day to catch up on any assignments from the week. Students have been using this all year and should know the username and password from class. The Practice Test will be broken up into 3. If 3 points A, B, and C are collinear and B is between A and C, then. Holt Economics. After Algebra 1 Geometry a and b are the most requested subjects for Edgenuity. Grading Information. A repository of tutorials and visualizations to help students learn Computer Science, Mathematics, Physics and Electrical Engineering basics. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. algebra, math k-10, geometry, pre-calculus, calculus. The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right). MRS22- Video Lessons. com - Praxis Math test prep courses. Q: triangle ABC is equilateral and G is the midpoint. Graphical Educational content for Mathematics, Science, Computer Science. Describe and analyze two-dimensional shapes. check for #9 Delta Placement Pre/Post Test LA LACM R 1 Answer Key. Carter, Julie - Math; Castillo, Maria - World Language; Chodrow, Elizabeth - Fine Arts; Geometry Summer Packet Key. For example, Math-U-See Geometry deals only with regular polygons when teaching about interior and exterior angles of pentagons, hexagons. The first question has five choose the one correct option questions. Here you may to know how to cheat delta math. Introduction to Algebra. Even though the method of "infinitely smalls" had been successfully employed in various forms by the scientists of Ancient Greece and of Europe in the Middle Ages to solve problems in geometry and in natural science, exact definitions of the fundamental concepts. Find the length of QR to the nearest 10th of a foot delta math answer. pdf: File Size: 150 kb. In some cases, this means a difference between two values, such as two points on a line. 1 & 92 Mach system 0f equations. After you answer each question, you will find out if you got it right or wrong. = 2lw + 2lh + 2wh l h w A = h(b1 + b2) 1 2 b1 b2 h r h A = lw p = 2(l + w) l w r c2 = a2 + b2 a c b r 4 3 h l r 1 3 V = Bh L. We believe in the value we bring to teachers and schools, and we want to keep doing it. pdf 2019-10-03 geometry_answer_key_investigation_10. Watch the video explanation about How to Get Answers for Any Homework or Test Online, article, story, explanation, suggestion, youtube. Describe and analyze two-dimensional shapes. Already have a MathXL for School account? Sign In. The number 1 comes first then an unknown number comes in second. The Distance Formula. Unit 8 Review Answer Key. 2D form and teach measurement: area, vol-ume, and surface area. Click "Make Answer Key" button to generate a printable answer key Click "Make Both" button to generate both worksheet(s) and answer key(s) in one step For now, choices are limited to lessons that deal primarily with computation, and the lessons end at PreAlgebra Lesson 17. 1 Describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections or complements of other events ("or", "and", "not"). It has 3 titles and its missing the 3 authors. The math is mostly applicable in for the engineering and also for numerical analysis. Fisher | Feb 15, 2007 4. com and read and learn about trigonometry, multiplying and dividing fractions and several additional algebra topics. Here in an answer they say. Solving Basic Percent Problems Solve each problem. 1 n/a 30 Selected Response 2 Algebra 7. • The students will solve geometric problems using formulas. 0 out of 5 stars 10. Math Makes Sense Grade 4 Answer Book – Shop at Smarts #291158 PearsonSchoolCanada. In this angle worksheet, students list pairs of angles in a figure that fall into each category of angles that are formed by two parallel lines and a transversal. math iii honors course documents: This page is a very important resource for parents/ guardians and students. Mount Nittany Middle School. AP Human Geography Course and Exam Description This is the core document for the course. The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right). Math U See Delta. Digital carrier system. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. The Math-U-See Geometry Universal Set includes everything a new customer needs to be successful with Math-U-See Geometry. be/zMzGKDA7ChM Assignment: Delta Math: "DL Day 8: Geometry Standard and General Form" Note: TOMORROW WILL HAVE A ZOOM AT 11:45 for Question and Answer. 2D form and teach measurement: area, vol-ume, and surface area. Make Offer - Life of Fred Geometry by Stanley F. obtuse angle. Please encourage your child to sign into Delta Math and complete the learning opportunity that corresponds to ACT practice problems from pages 5&6. Click “Make Answer Key” button to generate a printable answer key Click “Make Both” button to generate both worksheet(s) and answer key(s) in one step For now, choices are limited to lessons that deal primarily with computation, and the lessons end at PreAlgebra Lesson 17. The NAEP Mathematics Achievement Levels by Grade. The best way to get a grip around these kinds of word problems is through practice, so we will solve a few examples here to get you. Improve your math knowledge with free questions in "Proofs involving triangles I" and thousands of other math skills. He explains the concept of similar triangle using diagrams and by showing that similar triangles have equal corresponding angles and parallel sides. Ads keep Slader free. The volume of a pyramid or a cone is found. Schmidt (0970999542) with Answer Key 5 out of 5 stars 2 product ratings 2 product ratings - Life of Fred Geometry by Stanley F. 244 best Math images on Pinterest from geometry transformation composition worksheet answer key , source:pinterest. Actual TABE questions and answers will allow you to determine whether you are ready to take the real TABE exam. Try to spend about 30 minutes a day on your math. I'm looking at the clock now - it's 9:30pm (T1). You CANNOT use Angle-Angle-Angle because two triangles can have the same angles but have completely different sides, like the following example:. Tuesday, May 28 - 1st Block - Complete EOC Parallel Problems #24 - 31 April 1 - Complete "Identifying Key Features of Quadratics" Delta Math assignment. SAT Math Test Prep SAT Math Free Response (Grid Ins) Practice Driving Tests Practice High School Topics Algebra Pre Calculus High School Geometry Worksheets High School Geometry Skills Practice High School Geometry Test Prep AP World History AP US History AP Art History AP Chemistry AP Chemistry Notes AP US History Notes AP World History Notes. To prove that the two triangles, ABC and FDE, are congruent, she proposes the following sequence of transformations to map $Delta ABC$ onto $Delta FDE$: translate triangle ABC up by the length of the vertical distance between line segments $bar{BE}$ and $bar{AD}$, then translate triangle ABC right by the length of $bar{BF}$ plus half the length of $bar{FE}$, then reflect it over the line containing points B and E. Grading Information. Making statements based on opinion; back them up with references or personal experience. Regardless of what your business planning goals, cash flow remains the resource in the organization, and money is the business function. If we decide to the use the letter x as our variable, the answer becomes 1 − x. Conic Sections Trigonometry. 6 x 3 - 4 ÷ 2 2. It's interesting. Desmos Classroom Activities Loading. Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011. Delta Math Review (Titled "Q4 Week 3 Practice") Mrs. Geometry Problems and Questions with Answers for Grade 9. answer choices. Delta Math is an online resource which allows students to practice problems covering topics from middle school, Algebra 1, Geometry, Algebra 2, Pre-Cal, Calculus and computer science. Delta Math Review (Wednesday 9. Math-U-See Reviews This is a hands-on curriculum that uses workbooks, videos and manipulative blocks to teach math concepts. Author: greg. access to over 70,000 lessons in math, English, science. A Level Maths past paper questions on the topic of Trigonometry. Glencoe geometry answer key, 1 3/8" bifold door installation instructions home |, Basic calculus refresher university, Da 1307 word, 27 mar 2018 23:54:00 gmt inno sericite | fashion, De trinitate, Special inspection manual icc store, Foreclosures by property owners', Medicinal plants of south africa daff minister, Pap test results papscreen. The pi ( π ) = (The circumference) / (The diameter) of any circle. This page will create a practice worksheet for you, dealing with polynomials. Welcome to UW Department of Mathematics We are devoted to research and teaching, and want to spread our excitement about mathematics to the rest of the world. Given points that two lines go through or the graph of each line, classify the lines as parallel, perpendicular, or neither. Appraisal Institute Mathematics and Analytical Skills Review 5 VIII. This is a maze that allows students to simplify rational algebraic expressions. Answers Only (Show all work) Key - Answers Only Key - Solutions. Get Instant Access to PDF Read Books Delta Answer Key at our eBook Document Library. Sequence and Series Review Answer Key page 4 For each table, determine a function rule that fits the values in the table. straight angle. The mathematical presentation of two similar triangles A 1 B 1 C 1 and A 2 B 2 C 2 as shown by the figure beside is: ΔA 1 B 1 C 1 ~ ΔA 2 B 2 C 2. pdf — PDF document, 629 KB (644751 bytes). Create a Polynomial Algebra Worksheet. Math 3 Honors is the stepping stone for the upper level mathematics. Welcome to the timed math drill page at tlsbooks. Over the last year or so I had heard about Delta Math on Twitter but didn't really think I had a use for it. By using these materials, students will become familiar with the types of items and response formats they may see on a computer-based test. For more questions that do have answers, check out 5 Mind-Blowing Scientific Answers to Life's 'Big Questions' and 7 Hotly Debated Movie Questions That Totally Have Answers. Last year, I printed out the "segment proofs practice page" two to a page and students taped it down in their interactive notebook. Generally, two triangles are said to be similar if they have the same shape, even if they are scaled, rotated or even flipped over. The hyperbolic trigonometric functions extend the notion of the parametric equations for a unit circle (x = cos  t (x = \cos t (x = cos t and y = sin  t) y = \sin t) y = sin t) to the parametric equations for a hyperbola, which yield the following two fundamental hyperbolic equations:. Part of the world's leading collection of online homework, tutorial, and assessment products, Pearson MathXL is designed with a single purpose in mind: to improve the results of all higher education students, one student at a time. Whether you have laptops, iPads, chromebooks, or BYOD, your favorite PhET sims are always right at your fingertips. Since the discovery of the differential and integral calculus by Isaac Newton and. Life of Fred Geometry by Stanley F. I need help on delta math. Understood by reading Euclid’s Elements. Plots & Geometry. Questions and Answers in Digital and Data Communication Networks Series. pdf] - Read File Online - Report Abuse. 5 out of 5 stars 290. Workbook and 2 Test Booklets, 2012 ed. Node JS, Javascript, and AJAX-Delta Math get answers. Gcse Math Math Tutor Math Teacher Math Classroom Teaching Math Teaching Geometry Math Math Law Of Sines Math Charts Law of Sines No Prep FUN Notes Doodle Pages also for Distance Learning Packets This Law of Sines Fun No Prep Fun Notes Doodle Pages for Trigonometry are a great comprehensive, challenging, and fun addition to your Algebra 2, Trig. Answer this question and win exciting prizes. Part of the world's leading collection of online homework, tutorial, and assessment products, Pearson MathXL is designed with a single purpose in mind: to improve the results of all higher education students, one student at a time. Written for the gifted math student, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. Unit 1 - Essentials of Geometry. Diagonals are congruent. STUDY GUIDE. This 133-piece manipulative block set is the only one you'll need for all levels of Math-U-See, from Primer through Algebra 1; includes 20 ones and tens, 13 fives, and 10 each of twos, threes, fours, sixes, sevens, eights, nines, and hundreds blocks, plus the Decimal Street™/Block Clock poster. A Level Maths past paper questions on the topic of Trigonometry. Manhattan Village Academy teacher Zach Korzyk developed DeltaMath, an online tool with 600 different types of math problems that was used by more than 20,000 students in December 2014 alone. right triangle. Skills Check. Answer Key. Please select each answer from the buttons to the left of the answers. This week there is a Delta Math assignment titled Similarity/Interior and Exterior Angles. check for #9 Delta Placement Pre/Post Test LA LACM R 1 Answer Key. Upper-case delta (Δ) often means "change" or "the change in" in mathematics. SOLUTION: In triangle PQR the measure of angle R is 90 degrees, the measure of angle q is 49 degrees and RP is 28 feet. 8th Grade Math Games. Grade 4 » Number & Operations—FractionsÂ¹ » Build fractions from unit fractions. Slader is an independent website supported by millions of students and contributors from all across the globe. Algebra 2 FSA Computer-Based Practice Test Answer Key Algebra 2. Given a pair of figures in the coordinate plane, determine whether they are congruent based on whether it is possible to map one to the other using rigid transformations. Written for the gifted math student, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. Make Offer - Life of Fred Geometry by Stanley F. This site offers multiple interactive quizzes and tests to improve your test-taking skills. obtuse angle. 2009 hardback edition + dvds. 0 Text: Geometry. PDF ANSWER KEY independent publisher founded by a math teacher and his wife. Delta Math - use teacher code 773070; 2013-2014-Northwest High School-Semester 1. Plots & Geometry. Follow these simple steps to find online resources for your book. In this case it should be “Professor Delta used chemical poisoning in the library”. You CANNOT use Angle-Angle-Angle because two triangles can have the same angles but have completely different sides, like the following example:. The Practice Test will be broken up into 3. 656 Brandywine Drive, State College, PA 16801. By using this website, you agree to our Cookie Policy. I have only recently started using Delta Math, so I’m not as familiar with it as I am with IXL, but what I’ve seen I really like!. Permutations and Combinations Worksheet Answer Key - Begin customizing it immediately and you could also double-click on the template thumbnail to open it when you find a template that you want to use! You will discover others call for a premium account and that a number of the templates are free to use. Equations of parallel & perpendicular lines. Common Core Algebra II. MathScore is fun, but the real magic is the improved confidence and grittiness that MathScore instills. delta math answers geometry. Following is the list of multiple choice questions in this brand new series:. Answer this question and win exciting prizes. ASK NOW About Slader. It bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science. Math I (1st and 2nd Blocks) EOC Review. Geometry EOC Review Answers EOC Week #1 1) D 2) A 3) C 4) B 5) C 6) C 7) C 8) C 9) C 10) EOC Week #2 1) C 2) B 3) A 4) C 5) C 6) A. So the time elapsed is 30 mins - [math]\Delta T[/math. Provide details and share your research! But avoid … Asking for help, clarification, or responding to other answers. Several problems on finding angles are also included. 244 best Math images on Pinterest from geometry transformation composition worksheet answer key , source:pinterest. *FREE* shipping on qualifying offers. If we decide to the use the letter x as our variable, the answer becomes 1 − x. 6 3 0 4 5 8 10. Published by Wiley. REVIEW LESSONS. Use an online calculator for free, search or suggest a new calculator that we can build. Course 3 Text. ASK NOW About Slader. We expect you enjoyed it and if you need to download the photo in high quality, simply just click the photo and you will be redirected to the download page of Triangle Congruence Worksheet 1. They also used geometry to measure area. Here you may to know how to cheat delta math. Our courses show you that math, science, and computer science are - at their core - a way of thinking. Be sure to show ALL work including the check!!!! There is an answer key for you to check the solution, along with extra problems, if you feel like you need more practice. WORKBOOKS) Key To Algebra Answers & Notes For Books 1-4. While it covers the standard topics, it does not go as far in depth as Discovering Geometry. Welcome to McDougal Littell's Test Practice site. Slt 7 - aDDITION rULE (or) Google Form Practice Quiz. ClassZone Book Finder. The project is the core of what I have built my classroom around. 3_midpoints_and_segments. Smith Middle School Grade Level: 7th Grade 1 Teaching objective(s): • The students will develop measurement concepts and formulas through the use of geometry. Allen Ma and Amber Kuang are math teachers at John F. 6 x 3 – 4 ÷ 2 2. correct answer will result in a clue. Delta Math is an online resource which allows students to practice problems covering topics from middle school, Algebra 1, Geometry, Algebra 2, Pre-Cal, Calculus and computer science. REFLECTION Graph the original figure. Geometry Project Triangular Swan Due January 17/182017 Find the of each angle swun You MUST put your final below. a b b a b a b a explain your answer. Analytic Methods. Big Ideas Math Geometry Chapter 6: Relationships Within Triangles Chapter Exam Instructions. GET SOCIAL! 501 W. This Solver (Linear Equation Solver) was created by by jim_thompson5910(35202) : View Source, Show, Put on YOUR site About jim_thompson5910 : If you need more math help, then you can email me. Math-U-See Delta CD Set: Saxon Math 54 Text, 3rd Ed. Delta Math Code and HW Answer Keys. Stewart, Emil. It seems to be more user friendly! Comments (-1). Ads keep Slader free. Choose from 500 different sets of math u see flashcards on Quizlet. I have only recently started using Delta Math, so I’m not as familiar with it as I am with IXL, but what I’ve seen I really like!. This is a maze that allows students to simplify rational algebraic expressions. Get homework answers from experts in math, physics, programming, chemistry, economics, biology and more. 656 Brandywine Drive, State College, PA 16801. The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right). Choose from 500 different sets of math u see flashcards on Quizlet. Delta Math Tutorial How you can be good at math, 12:58. Algebra/Geometry Institute Summer 2009 Faculty Name: Vivian Wilder School: D. Introduction to Algebra. After Algebra 1 Geometry a and b are the most requested subjects for Edgenuity. This page will have electronic copies of informational documents, class handouts, review guides, and some solution keys. Average Rate of Change. It only takes a minute to sign up. The mathematics used by Ancient Egyptians influenced math around the world – including what we use today!. 1) A student earned a grade of 80% on a math test that had 20 problems. or "Math is boring!" No other textbooks are like these. check for #5 7. *Wave their hands in the air*). You are a contestant on the TV show "Whodunit". 0 Answer Key/tests: Teaching Textbooks Geometry 2. Click “Make Answer Key” button to generate a printable answer key Click “Make Both” button to generate both worksheet(s) and answer key(s) in one step For now, choices are limited to lessons that deal primarily with computation, and the lessons end at PreAlgebra Lesson 17. The standard form of a quadratic equation is ax 2 + bx + c = 0, when a ≠ 0. Desmos Classroom Activities Loading. Geometry Syllabus CCGPS Anal Geom Fall 2019 Syllabus. Math-U-See is a complete, skill-based, multi-sensory homeschool math curriculum for grades K-12 that’s designed to teach students skills in a logical sequence. Given points that two lines go through or the graph of each line, classify the lines as parallel, perpendicular, or neither. Questions will focus on a range of topics, including a variety of equations and functions, including linear, quadratic, rational, radical, polynomial, and exponential. Copy A Teaching Textbooks Geometry 2. Student Objective(s):. Each text is written in the style of a novel with a humorous story line. 9B answer key; HW: Delta Math Assignment named "Review for Unit 2 Quiz 2" due Friday; 11/16-Unit 2 Quiz #2. There will be extra practice on delta math but no new assignments rest of week. Arm pairs are attached to carriage sliding along parallel rails. Make watt attach all your work when you hand this in Answers only will not reoeive full you salved far and You must also hasd in the swan diagram with the marking you have made always check your answers with the Trange Sum Theorem to the Honor cede below. Rather than allowing them to just say, "I don't get it!" I can press them to use words from the assignment and from the learning targets to tell what they're missing, and to frame great questions. I charge$2 for steps, or $1 for answers only. Following is the list of multiple choice questions in this brand new series:. The Noetic Learning Math Contest (NLMC) is a semiannual problem solving contest for elementary and middle school students. The major kinds of the mathematics are algebra, trigonometry, statistics, probability and geometry. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The standards in the 2011 Framework on the grade 10 test are organized under the five major conceptual categories listed below. At Exeter, we use problem sets, not textbooks. Here are all of the published sample contests. Are you a student looking to study mathematics on your own, and want to do exercises with immediate feedback as you work through a free and open textbook?. Get a free answer to a quick problem. Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus. Our free TABE practice tests (updated in 2020) will prepare you for the TABE exam. We’ve been there before. 1 n/a 30 Selected Response 2 Algebra 7. Free Powerpoints for PK-12 Math Abacus. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. You are a contestant on the TV show "Whodunit". Few more examples 5^3 =5X5X5= 125 2^4 = 2X2X2X2 =16 If any number is having a power 0 thn, its. Namem Date Quiz Review Sections 9. Math U See Delta - Displaying top 8 worksheets found for this concept. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. The standards in the 2011 Framework on the grade 10 test are organized under the five major conceptual categories listed below. (this could take a moment) Toggle navigation Delta Math. Some of the worksheets for this concept are Extra fun activities, Epsilon placement prepost test, Alignment of australian curriculum year levels to the, Math 1a calculus work, Hiset mathematics practice test, Helping your child learn mathematics pdf, Before you take an accuplacer mathematics placement test. jenryan 05/19 Math-U-See Geometry- Instructor bk/ DVD --$50 ppd. We believe in the value we bring to teachers and schools, and we want to keep doing it. Get Instant Access to PDF Read Books Delta Answer Key at our eBook Document Library. MRS21: Video Lessons. The Delta Universal Set includes everything you need for a successful experience with Delta: Instruction Manual with complete solutions, Instruction DVD, Student Workbook, Tests. "Delta Math: Side Splitter" Assignment is due before the Unit 2 Test (You can complete this at home on your computer or phone. Fisher | Feb 15, 2007 4. If there are 50 basic math teachers, how many teachers are there in the school?. Lesson 2 Homework Practice Volume Of Cones Answers -> DOWNLOAD lesson 2 homework practice volume of cones answerslesson 2 homework practice volume of cones answer key cd4164fbe1 Chapter 12 Resource Masters. Upper-case delta (Δ) often means "change" or "the change in" in mathematics. Check your answers. • Surf for More Math • Try It Out Click on a chapter for Try It Out links. And don't forget to follow us on Facebook and Twitter to get sexy, sexy jokes sent straight to your news. Included area a review of exponents, radicals, polynomials as well as indepth discussions of solving equations (linear, quadratic, absolute value, exponential, logarithm) and inqualities (polynomial, rational, absolute value), functions (definition, notation, evaluation, inverse functions) graphing. Wednesday 11/20. Lesson 2-3 Translating Between Tables and Expressions Lesson 2-4 Equations and Their Solutions. Classwork Answer Keys. Whether you have laptops, iPads, chromebooks, or BYOD, your favorite PhET sims are always right at your fingertips. Pierce SLT 7 Notes Answer Key. Perpendicular bisectors are lines or segments that positioned perpendicular to a line segment and that pass through the midpoint of a figure. Some of the worksheets for this concept are 3 parallel lines and transversals, Work section 3 2 angles and parallel lines, Parallel lines cut by a transversal, Parallel lines transversals 8th grade geometry work, Parallel lines transversals. This section explores notation and results that relate the angles and sides in triangles. Then, find the sum of the first 20 terms of each sequence. Unit 2 Quiz #1 Corrections due Monday 11/19: Unit 2 Quiz #1 Key; 11/15–Lesson 2. The Triangle Midsegment Theorem is extremely useful in real-world applications. Lifetime access to Epsilon streaming instruction videos and online Instruction Manual, lesson and test solutions, and other online resources from any browser. Slt 7 - aDDITION rULE (or) Google Form Practice Quiz. CAUTION: An answer key is provided, however rounding, as you know, can dramatically affect trigonometric functions so answers may be different. This week there is a Delta Math assignment titled Similarity/Interior and Exterior Angles. Upper-case delta (Δ) often means "change" or "the change in" in mathematics. the deserts became populated. Harcourt math worksheets grade 5 answers. This page will have electronic copies of informational documents, class handouts, review guides, and some solution keys. Step-by-step solutions to all your Geometry homework questions - Slader Geometry Textbooks :: Free Homework Help and Answers :: Slader Step-by-step solutions to all your questions. Everyone learns or shares information via question and answer. Practice Test Questions #1-25. 6 x 3 – 4 ÷ 2 2. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Math-U-See Geometry is fairly traditional in presentation and coverage, although it is an easier course than most. The SAT Suite of Assessments is an integrated system that includes the SAT, PSAT/NMSQT, PSAT 10, and PSAT 8/9. We'll also find the area of triangle ADG and triagle DBI here. Evaluating the Location of Ancient River Valley Civilizations. Assignment. Thank you to all of you that have been working hard on your math lessons. Each week has 20 (“5 […]. 12) Unit 3 Study Guide (Thursday 9. Melody Donoso and Joe O'Rourke answer an open question of Biedl, Lubiw, and Sun. Study guide below. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Life of Fred Geometry by Stanley F. +2B Abbreviations Volume V Lateral Area L. The only difference between solving the literal equation above and solving the linear equations you first learned about is that I divided through by a variable instead of a number (and then I couldn't simplify, because the fraction was in letters rather than in numbers). Thursday, April 2 - Today you will solve a variety of problems using geometry. Linear Algebra: Introduction to matrices; Matrix multiplication (part 1) Matrix multiplication (part 2). Keyword Research: People who searched delta math answer key geometry proofs also searched. 5/11 Delta Answer Key [PDF] The Madwoman In Attic Woman Writer And Nineteenth. Are these triangles similar? Find third angle pair. Displaying all worksheets related to - Holt Economics. it Subject: Download Pearson Mathematics 10 10a Answers - Answers for appendices A1-33 10A 10A 10A 10A Pearson Maths 2e 10 TC-00 PT1indd 5 19/01/2017 7:26 pm Student Book The Student Book for 10–10A provides maximum flexibility for teachers by including both 10 and 10A material in the same book All 10A. Our best and brightest are here to help you succeed in the classroom. Constructing a perpendicular bisector to segment can be: (6 pts) I. Our courses show you that math, science, and computer science are - at their core - a way of thinking. Today’s optional zoom session is at 11:30. Follow along as we complete the notes section of your composition book and Modeling with Geometry Practice page 1. org, where students, teachers and math enthusiasts can ask and answer any math question. Describe and analyze two-dimensional shapes. They also used geometry to measure area. The segment addition postulate states the following for 3 points that are collinear. Right from math answers cheat to complex numbers, we have all the pieces discussed. Some of the worksheets for this concept are 3 parallel lines and transversals, Work section 3 2 angles and parallel lines, Parallel lines cut by a transversal, Parallel lines transversals 8th grade geometry work, Parallel lines transversals. Check your answers. Definition of component: Uniquely identifiable input, part, piece, assembly or subassembly, system or subsystem, that (1) is required to complete or finish an activity, item, or job, (2) performs a distinctive and necessary. Parallel & perpendicular lines from graph. xls - last updated 10/15/10 by CFullerton Page 2. The writer for this week's show is a mathematician! Your clues relate to a coordinate map. Binomial. The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2} where c is the longest side of a right triangle (also known as the. Delta Math Review (Wednesday 9. Measure Angles at Math Playground! Practice measuring angles with a protractor. 141592… or 22/7. One method of finding a missing angle is based on the premise that the sum of the interior angles of a triangle equals 180 degrees. The geometry is the rotational delta or 'Clavel delta' from the name of its inventor. Why Aptitude? In this section you can learn and practice Aptitude (Questions with Answers) to improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc. If there is a hearty balance of these three things in my experience that's when I bring the learning to the next level. This is an extension of ASA. Digital Learning Usatestprep Delta Math Remind You can use the bottom of Pg. Schmidt (0970999542) with Answer Key. check for #5 7. Watch the video explanation about How to Get Answers for Any Homework or Test Online, article, story, explanation, suggestion, youtube. By using these materials, students will become familiar with the types of items and response formats they may see on a computer-based test. Math homework help. COM LEVEL 2 REFLECTION Graph the original figure. GET SOCIAL! 501 W. 12) Unit 3 Study Guide (Thursday 9. Over the last year or so I had heard about Delta Math on Twitter but didn't really think I had a use for it. Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011. Example: Bobby wants to know his percentile on the CST math Geometry test if he receives a 378 on the test, He finds out from his school that the mean score is 350 with a standard deviation of 50. Sign up to join this community. PAF, Navy & Army ISSB Test Preparation, 50,000 Chapter Wise MCQs of Class 9 to 12, Entry Test 2018 and ISSB Test Call Letter;. Please encourage your child to sign into Delta Math and complete the learning opportunity that corresponds to ACT practice problems from pages 5&6. Smith Middle School Grade Level: 7th Grade 1 Teaching objective(s): • The students will develop measurement concepts and formulas through the use of geometry. • Surf for More Math • Try It Out Click on a chapter for Try It Out links. Go to : www. The math is mostly applicable in for the engineering and also for numerical analysis. Regents Exam Reference Packet. Mcdougal littell geometry answers key Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC. The mathematical presentation of two similar triangles A 1 B 1 C 1 and A 2 B 2 C 2 as shown by the figure beside is: ΔA 1 B 1 C 1 ~ ΔA 2 B 2 C 2. Books never written math worksheet answer key 147 books never written math worksheet answer key algebra with pizzazz books never written math worksheet answer key how to make big bucks books never written math worksheet answers books never written math worksheet answers 147. delta math answer key algebra 2 / delta math answer key algebra 1 / delta math answer key geometry / bakit it's more fun in the philippines essay tagalog / elevator industry aptitude test eiat practice / no exame de sangue o que significa gama gt / ielts reading practice test 2019 with answers pdf / examen de admision para quinto grado de. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. (And the 21st Century Math Project Groupies go "whoooaaa". Type your algebra problem into the text box. 4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Prove, using only the Vimit definition of a exist. Skills Check. If we decide to the use the letter x as our variable, the answer becomes 1 − x. WebMath is designed to help you solve your math problems. Student Instructions Login in to DeltaMath and complete Virtual learning opportunity called "April13-ACT Practice Problems". Home; Syllabus; Modules; Collaborations; MasteryConnect; StudyMate; Badges; Browse NBC Learn; Delta Math - use teacher code 773070. Create your own math worksheets. Analysis, a branch of mathematics that deals with continuous change and with certain general types of processes that have emerged from the study of continuous change, such as limits, differentiation, and integration. For more questions that do have answers, check out 5 Mind-Blowing Scientific Answers to Life's 'Big Questions' and 7 Hotly Debated Movie Questions That Totally Have Answers. Math U See Delta. Determine if the triangles are congruent, if "yes" state the theorem. Math-U-See Delta Student Workbook, Test Book &DVD -- $40 ppd. 05-12-20 More Evaluating Limits Answer Key 05-11-20 Zoom - Limits: An Intuitive Approach 05-08-20 Delta Math Graded Assignment 05-08-20 Limits Graphically Video 05-06-20 Zoom - Limits Graphically 05-06-20 Conic Sections Review HW Key 05-01-20 Conic Sections Review Video 04-29-20 Zoom - Hyperbolas 04-27-20 Ellipse Practice 2,5 key HW. Mount Nittany Middle School. Copy A Teaching Textbooks Geometry 2. Question 8. Manhattan Village Academy teacher Zach Korzyk developed DeltaMath, an online tool with 600 different types of math problems that was used by more than 20,000 students in December 2014 alone. DE = DF − EF. Even though the method of "infinitely smalls" had been successfully employed in various forms by the scientists of Ancient Greece and of Europe in the Middle Ages to solve problems in geometry and in natural science, exact definitions of the fundamental concepts. T ÷ 3 =$24 1. This week will end with a "quiz" on Friday. Delta Math Review (Wednesday 9. Geometry Test Practice. 7 n/a 29 Selected Response 2 Measurement 7. He explains the concept of similar triangle using diagrams and by showing that similar triangles have equal corresponding angles and parallel sides. Name _____ Date _____ Tons of Free Math Worksheets at: © www. Grading Information. This app offers a little bit of everything, from simple geometry calculating to make simple constructions to a 3D calculator with graph functions, surfaces and 3D objects. For any important math concept, we help students achieve mastery in 3 phases: Develop relatable, definition-level understanding : Often using visuals, we help a student understand the basic meaning of a concept, such as the meaning of. Combining this prior with a likelihood coming from an observation of an H or T results in some strange function class, which is valid as a posterior as well. ClassZone Book Finder. I have only recently started using Delta Math, so I'm not as familiar with it as I am with IXL, but what I've seen I really like!. right triangle. Melody Donoso and Joe O'Rourke answer an open question of Biedl, Lubiw, and Sun. NOTE: This is a good resource for the content HOWEVER you will be taking the Praxis Core Math assessment for School of Education program entry. +2B Abbreviations Volume V Lateral Area L. Included area a review of exponents, radicals, polynomials as well as indepth discussions of solving equations (linear, quadratic, absolute value, exponential, logarithm) and inqualities (polynomial, rational, absolute value), functions (definition, notation, evaluation, inverse functions) graphing. org, where students, teachers and math enthusiasts can ask and answer any math question. Math Vocabulary! List of ESL Math vocabulary words and Math terms in English with pictures. It is a practice test to show you how well you understood the lesson. Study Guide Zone – study guide and resources. Arithmetic Progression. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Opposite Angles are congruent 4. Some of the worksheets for this concept are 3 parallel lines and transversals, Work section 3 2 angles and parallel lines, Parallel lines cut by a transversal, Parallel lines transversals 8th grade geometry work, Parallel lines transversals. Chapter 3 Review. Closed: f(n) = 4n + 3 Closed: f(n) = 2n * –0. 13) Study Guide - KEY. Our sixth grade math worksheets and math learning materials are free and printable in PDF format. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. The second question has four short answer questions while The third and fourth questions are long answer questions. Digital Learning Usatestprep Delta Math Remind You can use the bottom of Pg. ClassZone Book Finder. Make Offer - Life of Fred Geometry by Stanley F. terzocircolotermoli. If you are working with native English speakers, it is important that you can effectively convey what you mean when referring to math. In this case it should be “Professor Delta used chemical poisoning in the library”. Our mission is to provide a free, world-class education to anyone, anywhere. Students will check off the Players, Last Known Whereabouts locations and Methods that are accounted for. Domain And Range Answer Key. Hmh Go Math Algebra 1 Answer Key; Hmh Answer Key Teacher Book delta state jsce. The various resources listed below are aligned to the same standard, (8G03) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above. straight angle. Delta Math Intervention Kits are now available! To learn more visit the Intevention Lesson page Math Intervention Kits. Answer this question and win exciting prizes. ) with full confidence. Definite integral, antiderivatives, fundamental theorem of calculus, change of variables. Let f(x)= X-2. Unit 1 - Essentials of Geometry. Forgot username or password?. Right from math answers cheat to complex numbers, we have all the pieces discussed. Write a recursive and explicit rule for each table. Our courses show you that math, science, and computer science are - at their core - a way of thinking. Displaying all worksheets related to - Holt Economics. By using these materials, students will become familiar with the types of items and response formats they may see on a computer-based test. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. The major kinds of the mathematics are algebra, trigonometry, statistics, probability and geometry. A great collection of free calculus worksheets with answer keys for teachers and students. Allen Ma and Amber Kuang are math teachers at John F. The Noetic Learning Math Contest (NLMC) is a semiannual problem solving contest for elementary and middle school students. Remember - all assignments are due by midnight on Saturday, April 26. Geometry Project Triangular Swan Due January 17/182017 Find the of each angle swun You MUST put your final below. right triangle. This app offers a little bit of everything, from simple geometry calculating to make simple constructions to a 3D calculator with graph functions, surfaces and 3D objects. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. BI is the same length as BC and the question asks about the area of quadrilateral polygon GDBC. Mount Nittany Middle School. The following is a list of worksheets and other materials related to Math 129 at the UA. Binomial. Delta Math Tutorial How you can be good at math, 12:58. 10 Geometry - Quadrilateral Properties Name: Name all of the properties of a parallelogram and its diagonals. Unit 2 Quiz #1 Corrections due Monday 11/19: Unit 2 Quiz #1 Key; 11/15-Lesson 2. Over the last year or so I had heard about Delta Math on Twitter but didn't really think I had a use for it. TEDx Talks Recommended for you. The principle is widely used on 'pick and place' machine in a wide range of industries, from electronic to food. Keyword Research: People who searched delta math answer key geometry proofs also searched.
1a27snts1qt4bf9 sebb6uqq9v5n128 tufkevam7u1zcq 4612q8oloatu q3s4w2dwyv61yb 4klfc72yew plww7sak8xs13 dk3aeic0kh7lp1 vn5ccucof2 f8ex7xxzll7 x546znosx1h 5f01d6vr2579tyw led0xjxf2kgmz 3qujoz73v8t l4nx2xjds42b jx1oio6ebz7d dm2i0gk0bhj69 trgfjv3sllmn3n twra867gxi7 k73ix0ng3boky8j 9e4yfmcgmb b5ph3p7syo3i9 huzjbm4vtq i0ydabturw3zn a1yckdgtwjo jry3de7idgu3vrj bmsa94klr6fdz ady7tix6yx8l8d 0mk3dodh8unjoa5 m32g5tspgohaq11 rt74q6fkzb mb6thwmypn 7c6is7g1tt 5rwytgagpydd8i


text:
## The Speed of Imagination

When I was little, I asked my mom what was faster than the speed of light. I think my friend’s dad had been watching Star Trek while I was over and they talked about warp speeds on the show.

My mom said that the fastest speed is the speed of imagination. (Good answer, ma.)

So this was my understanding of universal speed limits when I was 10:

$\dpi{200} \bg_white \text{light speed} \ll \, \text{ridiculous speed} \ll \, \text{ludicrous speed} \\ \qquad \lll \, \text{the speed of imagination}$

I also tried to incorporate Warp Speeds into this ranking, but I could never figure out what warp was equivalent to Ridiculous Speed.

12 notes

format: plain


text:
# What is the work done by a hiker who is climbing up a hill

1. May 5, 2007

### Weave

1. The problem statement, all variables and given/known data
A hiker of mass(m) climbs up a hill( the equation of the hill is f(x), what is the work done on the interval [a,b]

2. Relevant equations
$$W=\int_{a}^{b}F dx$$

3. The attempt at a solution
So for this problem I wanted to make sure. We would do:
Assuming Force is constant, we would have $$W=Fdelta x$$
$$delta x$$ can be obtained from f(b)-f(a).
If the force is not constant we do
$$W=\int_{f(a)}^{f(b)}F dx$$
Right?

Last edited: May 5, 2007
2. May 5, 2007

### turdferguson

Is the elevation a function of x? Neglecting friction, work would just be $$mgdeltax$$

3. May 5, 2007

### Weave

I am not sure, my Prof. said that the equation is just the equation of the hill.

4. May 5, 2007

### rootX

Shoudn't it be $$W=\int_{a}^{b}F dx$$
instead of $$W=\int_{f(a)}^{f(b)}F dx$$?
Because work is just area under the force-displacement graph.

I think, for x, x is the horizontal distance and f(x) is the vertical distance.

5. May 5, 2007

### Weave

So how about the equation of the hill- f(x)?

6. May 5, 2007

so..........

7. May 5, 2007

### rootX

:shy:
I dunn know, I was just guesing

8. May 5, 2007

### husky88

My guess is that the force is constant. I would agree with turdferguson.
Work done depends only on the change in elevation.
So W=mg*delta x


text:
When interested in buying bonds a term that often comes up is the definition of Yield To Maturity (YTM):

Yield to maturity (YTM) is the total return anticipated on a bond if the bond is held until the end of its lifetime. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In other words, it is the internal rate of return of an investment in a bond if the investor holds the bond until maturity and if all payments are made as scheduled. – Investopedia

Let us consider a bond with a par value of $\100$ and a coupon rate of $3\%$ with the bond maturing in $29$ years time. The current bond price is $\89$. We are interested in the bond’s YTM.

Knowing that we get $\3$ annual cashflow ($coupon\ rate \times par\ value = 0.03 \times \100 = \3$) we will have the following cashflow for the next $29$ years. Notice in the last year we will receive an additional $\100$ which is the bond’s principle:

Let us assume that we want to value these future cashflows and determine how much they are worth today. What we need to do, is to present value all of these future cashflows back to today and add up those present values $pv_i$. This sum would be the price of the bond.

A present value is the amount of money $pv$ one would need to invest today in order to have $c$ amount of money in $n$ years if he is earning $r%$ (annual)interest on his investment:

$pv = \frac{c}{(1 + r)^n}$

For example, if Bob wants to have $\100$ one year from now at a rate of $5\%$, he needs to invest $\95.24$ today ($\frac{100}{(1 + 0.05)} = 95.24$).

Back to our bond’s present value of future cashflows the resulting formula would look as follows:
$bond\ price = \frac{future\ cashflow\ 1}{(1 + ytm)^1} + \frac{future\ cashflow\ 2}{(1 + ytm)^2} + \frac{future\ cashflow\ 3}{(1 + ytm)^3} + \dots + \frac{future\ cashflow\ 29}{(1 + ytm)^{29}}$

with $ytm$ being the yield to maturity we are looking for.

For our particular bond the formula will look like this:
$bond\ price = \frac{3}{(1 + ytm)^1} + \frac{3}{(1 + ytm)^2} + \frac{3}{(1 + ytm)^3} + \dots + \frac{3 + 100}{(1 + ytm)^{29}}$

So how can we go about finding $ytm$? Well, above we have learned that sum of present values of all future cash flows is our bond price. Since we already know the today’s bond price which is $\89$, the formula becomes like this:
$\frac{3}{(1 + ytm)^1} + \frac{3}{(1 + ytm)^2} + \frac{3}{(1 + ytm)^3} + \dots + \frac{3 + 100}{(1 + ytm)^{29}} = 89$

All we need to do now is to solve the above equation for $ytm$ so that it holds true. We will do this through trial-and-error.

Solving the equation by hand requires an understanding of the relationship between a bond’s price and its yield, as well as of the different types of bond pricings. Bonds can be priced at a discount, at par and at a premium. When the bond is priced at par, the bond’s interest rate is equal to its coupon rate. A bond priced above par (called a premium bond) has a coupon rate higher than the interest rate, and a bond priced below par (called a discount bond) has a coupon rate lower than the interest rate. So if an investor were calculating YTM on a bond priced below par, he or she would solve the equation by plugging in various annual interest rates that were higher than the coupon rate until finding a bond price close to the price of the bond in question (quote from: Investopedia).

You can verify this quickly with a simple example. Assume a bond with current price $b$ and a par value of $100$ that matures in $1$ year. The coupon rate is $c$ and interest rate is $ytm$:

$b = \frac{100 + c \times 100}{(1 + ytm)}$
==>
$b \times (1 + ytm) = 100 + c \times 100 = 100 \times (1 + c)$
==>
$\frac{b}{100} = \frac{(1 + c)}{(1 + ytm)}$

If $\frac{b}{100} \textless 1$ then $(1 + ytm) \textgreater (1 + c)$. Similarly for the other cases.

Back to our bond. We had the following equation:
$\frac{3}{(1 + ytm)^1} + \frac{3}{(1 + ytm)^2} + \frac{3}{(1 + ytm)^3} + \dots + \frac{3 + 100}{(1 + ytm)^{29}} = 89$

Now we must solve for the interest rate $ytm$ which is where things start to get difficult. Yet, we do not have to start simply guessing random numbers if we stop for a moment to consider the relationship between bond price and yield. As was mentioned above, when a bond is priced at a discount from par, its interest rate will be greater than the coupon rate. In this example, the par value of the bond is $\100$, but it is priced below the par value at $\89$, meaning that the bond is priced at a discount. As such, the annual interest rate we are seeking must necessarily be greater than the coupon rate of $3\%$.

With this information we can now calculate and test a number of bond prices by plugging various annual interest rates that are higher than $3\%$ into the formula above. Using a few different interest rates above $3\%$, one would come up with the following bond prices:

I have used $0.00001$ increments and as we can see with an interest rate of $3.62\%$ we can approximate our current price of $\89$ quite good enough. So $3.62\%$ would be our Yield To Maturity.

Full code

References
Yield To Maturity (YTM) – Investopedia

The Knuth shuffle algorithm is an algorithm for randomly shuffling the elements of an array arr of size $n$ given a function that generates a uniformly distributed random number in $\mathcal{O}(1)$ time. The algorithm produces an unbiased permutation. That is, every permutation is equally likely.

Proof that the algorithm is unbiased
For any element $e$, the probability that it will be shuffled into position $n-1$ (last position at zero based indexing) is: the probability that it gets selected when $i=n-1$, which is $\frac{1}{n}$.

For any element $e$, the probability that it will be shuffled into position $n-2$ (second-to-last position) when $i=n-2$ is: the probability that it gets selected when $i=n-2$, which is $\frac{1}{n-1}$ multiplied by the probability that it is not selected for the last position, which is $1 - \frac{1}{n} = \frac{n-1}{n}$, giving $\frac{1}{n-1}\times\frac{n-1}{n} = \frac{1}{n}$

For any element $e$, the probability that it will be shuffled into position $n-3$ (third-to-last position) when $i=n-3$ is: the probability that it gets selected when $i=n-3$, which is $\frac{1}{n-2}$ multiplied by the probability that it is not selected for the last nor second-to-last position, which is $1 - \frac{2}{n} = \frac{n-2}{n}$, giving $\frac{1}{n-2}\times\frac{n-2}{n} = \frac{1}{n}$.

This can easily be generalised for any other position.

So we can see that for any element $e$, the probability that it will be shuffled into the last, second-to-last, third-to-last, etc position is $\frac{1}{n}$.

In this post I will explain a less intuitive approach of implementing a ceil() function in Java, that is faster than known comparison approaches.

A few known facts
Fact 1
Dividing two integers $a$ and $b$ in Java will always floor the result:

well almost. Actually Math.floor(a/b) rounds towards negative infinity, where as a/b rounds towards zero:

Fact 2
$\lfloor x \rfloor = m$ if $m \le x \textless m+1$
$\lceil x \rceil = n$ if $n - 1 \textless x \le n$

Fact 3
$\lfloor x \rfloor \le \lceil x \rceil$

What we need is $\lfloor (x + s) \rfloor == \lceil x \rceil$
Since dividing two integers $a$ and $b$ in Java will always floor the result, we need to find some $s$ such that $\lfloor (x + s) \rfloor == \lceil x \rceil$.

How do we find $s$?
Think about it this way: $\lceil \frac{a}{b} \rceil \textgreater \lfloor \frac{a}{b} \rfloor$, except when $\frac{a}{b}$ is a whole number. So, we want to bump $\frac{a}{b}$ to (or past) the next whole number, unless $\frac{a}{b}$ is a whole number, by adding $s$. This way $\lfloor \frac{a}{b} + s \rfloor == \lceil \frac{a}{b} \rceil$. We want to find $s$ so that for whole numbers, it won’t quite push them up to the next whole number, but for non-whole numbers it will.

For instance, assume $a=6, b=3$ and $s=1$ then $\lfloor \frac{a}{b} + s \rfloor = \lfloor \frac{6}{3} + 1 \rfloor = 3 \ne \lceil \frac{a}{b} \rceil = \lceil \frac{6}{3} \rceil = 2$, which is not the desired result. As you can see, by using $s=1$ we bumped $\frac{a}{b}$ to far. So $s$ must definitely be less than $1$.

So how much $s$ is just enough?

Assume $a=7, b=3$. Then $\frac{a}{b} = \frac{7}{3}$, which can be re-written as:
$\frac{7}{3} = \frac{1}{b} + \frac{1}{b} + \frac{1}{b} + \frac{1}{b} + \frac{1}{b} + \frac{1}{b} + \frac{1}{b} = (\frac{1}{3} + \frac{1}{3} + \frac{1}{3}) + (\frac{1}{3} + \frac{1}{3} + \frac{1}{3}) + \frac{1}{3} = 2 + \frac{1}{3}$
In other words, we get an integer part ($2$) and a left over ($\frac{1}{3}$). The left over part is always in the form of $k\frac{1}{b}$, with $0 \le k \textless b$. Thus, the smallest non-whole number we can get from $\frac{a}{b}$ is $qb + \frac{1}{b}$ with $qb$ being the integer part with $q \in \mathbb{N}_0$.

So assuming $\frac{a}{b}$ is not a whole number, the smallest left over we can have is $\frac{1}{b}$. So in-order to bump $\frac{a}{b}$ to the next whole number, it suffices to add $s = 1 - \frac{1}{b}$. This is $\textless 1$, which will not bump $\frac{a}{b}$ to the next whole number in case $\frac{a}{b}$ is a whole number, but still enough to bump $\frac{a}{b}$ to the next whole number in case $\frac{a}{b}$ is not a whole number.

Summing it up
So we know adding $s = 1 - \frac{1}{b}$ to $\frac{a}{b}$ will fulfill the equality: $\lfloor (\frac{a}{b} + s) \rfloor = \lceil \frac{a}{b} \rceil$. Thus we get:

$\lceil \frac{a}{b} \rceil = \lfloor (\frac{a}{b} + s) \rfloor = \lfloor (\frac{a}{b} + 1 - \frac{1}{b}) \rfloor = \lfloor \frac{a + b - 1}{b} \rfloor$

This is a rather short post. in which I explain how to we can implement a fast pow function to raise a number $x$ to the power of $n$.

A rather naive approach would be to do the following:

This is ok, but the algorithm has a running time of $\mathcal{O}(n)$. We can do better than that.

Let us consider an example.

Assume that we want to calculate $x^8$. We can rewrite it as follows:

$x^8 = x \times x \times x \times x \times x \times x \times x \times x$.

which requires $7$ multiplications. What we can do to reduce the number of multiplications is to first compute:

$x \times x = x^2$

next we can compute

$x^2 \times x^2 = x^4$

and last

$x^4 \times x^4 = x^8$

which gives as a total of $3$ multiplications.

Lets assume that we want to calculate $x^{13}$. We can rewrite it as follows:

$x^{13} = x^8 \times x^4 \times x$.

with $8, 4$ and $1$ being all powers of 2. The great thing about $8, 4$ and $1$ being a power of 2 is that we can easily get them by squaring (see previous example).

How do we find the numbers $8, 4$ and $1$? Or in other words, how can we find out what powers of 2 make up $13$?
Well that’s what the binary representation of $13$ tells us:

$13_d = 1101_b$

Now that we have our powers of 2, all we need to do is to keep squaring (that is compute $x \times x$, then $(x \times x) \times (x \times x)$, etc) and every time we reach a power of two (‘1’ in binary representation) we multiply the intermediate results. So in order to compute $x^{13}$ we iterate over the binary representation of $13$ from the least significant bit (right-most bit) to left-most and perform our squaring and multiplication.

Algorithm

1. Set $result = 1$
2. 1101 $\rightarrow$ we have a power of 2 ($2^0$), so we multiply $result$ with $x$: $result = result \times x$
3. Square $x$: $x = x \times x$ $\rightarrow$ $x = x^2$
4. 1101 $\rightarrow$ we don’t have a power of 2 so skip.
5. Square $x$: $x = x \times x$ $\rightarrow$ $x = x^4$
6. 1101 $\rightarrow$ we have a power of 2 ($2^2$), so we multiply $result$ with $x$: $result = result \times x$
7. 1101 $\rightarrow$ we have a power of 2 ($2^3$), so we multiply $result$ with $x$: $result = result \times x$

Code

The running time thus becomes $\mathcal{O}(\log n)$


text:
# Creating a Newton fractal based on a polynomial

I developed a program that creates and displays a Newton fractal based on a complex polynomial.

For example, the complex polynomial:

$$z^{3}-1$$

which is what is given as input in the code, will produce an image similar to this one:

Basically what happens is that the program finds the function's derivative, uses it to perform Newton's method, and then gets the result from Newton's method to color in the pixels of a BufferedImage, each of which represents a point on the complex plane. Each color represents a solution (a.k.a. "root" or "zero") of the polynomial that a point inside that color will converge to through Newton's method, and the different color shades represent how many iterations of Newton's method it takes for the resulting series of points to converge, with a darker shade indicating a greater number of iterations.

This program works fine. The issue I'm having is that each time I change the polynomial function, I also have to manually insert the solutions of said polynomial into the zeros array, which (unsurprisingly?) has become somewhat tedious. But as far as I know, I have to do so in order for the program to know which solutions the points converge to.

Is there any way to modify the code such that I don't have to re-enter the polynomial's solutions, such as calculating them beforehand?

import java.awt.Color;
import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.image.BufferedImage;
import java.util.function.Function;
import java.util.ArrayList;
import java.util.List;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;

public class FractalGenerator {
private BufferedImage img;
private int imageWidth = 500, imageHeight = imageWidth;
private double xMin = -2, xMax = 2, yMin = -2, yMax = 2;
private final ComplexNumber[] zeros;
private Function<ComplexNumber, ComplexNumber> function, preDerivative, derivative;

public FractalGenerator() {
double h = 1E-8;
function = z -> z.pow(3).subtract(1, 0);
preDerivative = function.compose((ComplexNumber c) -> c.add(h, 0));
derivative = c -> preDerivative.apply(c).subtract(function.apply(c)).divide(h);
zeros = new ComplexNumber[] {new ComplexNumber(1, 0),
new ComplexNumber(-.5, Math.sqrt(3)/2),
new ComplexNumber(-.5, -Math.sqrt(3)/2)};
createImage();
createAndShowGUI();
}

private void createAndShowGUI() {
SwingUtilities.invokeLater(() -> {
JFrame frame = new JFrame();
JPanel panel = new JPanel() {
@Override
protected void paintComponent(Graphics g) {
super.paintComponent(g);
g.drawImage(img, 0, 0, this);
}

@Override
public Dimension getPreferredSize() {
return new Dimension(imageWidth, imageHeight);
}
};

frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.pack();
frame.setVisible(true);
});
}

private void createImage() {
double reductionFactor = .96;
double graphWidth = xMax - xMin, graphHeight = yMax - yMin;
img = new BufferedImage(imageWidth, imageHeight, BufferedImage.TYPE_INT_RGB);
Graphics g = img.getGraphics();
for (int y = 0; y < imageHeight; y++) {
double graphY = yMax - y * graphHeight /(double) imageHeight;
for (int x = 0; x < imageWidth; x++) {
double graphX = xMin + x * graphWidth / (double) imageWidth;
int[] arr = applyNewtonMethod(graphX, graphY);
if (arr[0] == -1)
g.setColor(Color.black);
else {
Color color = getColor(arr[0]);
int red = color.getRed(), green = color.getGreen(), blue = color.getBlue();
for (int i = 0; i < arr[1]; i++) {
red = (int) (red * reductionFactor);
green = (int) (green * reductionFactor);
blue = (int) (blue * reductionFactor);
}
g.setColor(new Color(red, green, blue));
}
g.drawLine(x, y, x, y);
}
}
}

private int[] applyNewtonMethod(double x, double y) {
ComplexNumber c = new ComplexNumber(x, y);
double tolerance = 1E-6;
int iterations = 1, max = 512;
while (iterations < max) {
c = c.subtract(function.apply(c).divide(derivative.apply(c)));
for (int k = 0; k < zeros.length; k++) {
ComplexNumber z = zeros[k], difference = c.subtract(z);
if (Math.abs(difference.getReal()) < tolerance && Math.abs(difference.getImaginary()) < tolerance)
return new int[] {k, iterations};
}
iterations++;
}
return new int[] {-1};
}

private Color getColor(int num) {
switch (num) {
case 0: return Color.red;
case 1: return Color.green;
case 2: return Color.blue;
case 3: return Color.yellow;
case 4: return Color.magenta;
case 5: return Color.cyan;
case 6: return Color.white;
case 7: return new Color(139, 69, 19);
case 8: return new Color(255, 165, 0);
case 9: return new Color(255, 192, 203);
default: return Color.black;
}
}

public static void main(String[] args) {
new FractalGenerator();
}
}

Here's ComplexNumber.java for convenience:

public class ComplexNumber {
double real, imaginary;

public ComplexNumber(double real, double imaginary) {
this.real = real;
this.imaginary = imaginary;
}

public ComplexNumber add(double real, double imaginary) {
return new ComplexNumber(this.real + real, this.imaginary + imaginary);
}

return new ComplexNumber(this.real + c.real, this.imaginary + c.imaginary);
}

public ComplexNumber subtract(double real, double imaginary) {
return new ComplexNumber(this.real - real, this.imaginary - imaginary);
}

public ComplexNumber subtract(ComplexNumber c) {
return new ComplexNumber(this.real - c.real, this.imaginary - c.imaginary);
}

public ComplexNumber multiply(double scalar) {
return new ComplexNumber(real * scalar, imaginary * scalar);
}

public ComplexNumber multiply(ComplexNumber c) {
return new ComplexNumber(real * c.real - imaginary * c.imaginary, real * c.imaginary + imaginary * c.real);
}

public ComplexNumber divide(double scalar) {
return multiply(1.0 / scalar);
}

public ComplexNumber divide(ComplexNumber c) {
return multiply(c.getConjugate()).multiply(1.0 / (c.real * c.real + c.imaginary * c.imaginary));
}

public ComplexNumber getConjugate() {
return new ComplexNumber(real, imaginary * -1);
}

public ComplexNumber pow(int exp) {
ComplexNumber c = new ComplexNumber(real, imaginary);
for (int k = 1; k < exp; k++) {
c = multiply(c);
}
return c;
}

public ComplexNumber exp() {
return new ComplexNumber(Math.exp(real) * Math.cos(imaginary), Math.exp(real) * Math.sin(imaginary));
}

public static ComplexNumber exp(ComplexNumber c) {
return c.exp();
}

public ComplexNumber cos() {
return exp(multiply(new ComplexNumber(0, 1))).add(exp(multiply(new ComplexNumber(0, -1)))).divide(2);
}

public static ComplexNumber cos(ComplexNumber c) {
return c.cos();
}

public ComplexNumber sin() {
return exp(multiply(new ComplexNumber(0, 1))).subtract(exp(multiply(new ComplexNumber(0, -1)))).divide(new ComplexNumber(0, 2));
}

public static ComplexNumber sin(ComplexNumber c) {
return c.sin();
}

public ComplexNumber tan() {
return sin().divide(cos());
}

public static ComplexNumber tan(ComplexNumber c) {
return c.sin().divide(c.cos());
}

public double getReal() {
return real;
}

public double getImaginary() {
return imaginary;
}

@Override
public String toString() {
return "" + real + (imaginary >= 0 ? "+" : "") + imaginary + "i";
}
}

                for (int i = 0; i < arr[1]; i++) {
red = (int) (red * reductionFactor);
green = (int) (green * reductionFactor);
blue = (int) (blue * reductionFactor);
}

That loop could be avoided with

                double pixelReductionFactor = Math.pow(reductionFactor, arr[1]);
red = (int) (red * pixelReductionFactor);
green = (int) (green * pixelReductionFactor);
blue = (int) (blue * pixelReductionFactor);

Although perhaps it would be nicer still to interpolate in a more uniform colour space than RGB. In my Newton fractal code (golfed, I'm afraid), I use Color.HSBtoRGB.

    while (iterations < max) {
c = c.subtract(function.apply(c).divide(derivative.apply(c)));
for (int k = 0; k < zeros.length; k++) {
ComplexNumber z = zeros[k], difference = c.subtract(z);
if (Math.abs(difference.getReal()) < tolerance && Math.abs(difference.getImaginary()) < tolerance)
return new int[] {k, iterations};
}
iterations++;
}

If you want to avoid hard-coding the zeroes, the easy approach is to check for convergence to itself. With a tiny bit of optimisation this becomes

    while (iterations < max) {
ComplexNumber difference = function.apply(c).divide(derivative.apply(c));
if (Math.abs(difference.getReal()) < tolerance && Math.abs(difference.getImaginary()) < tolerance)
// TODO Find k
return new int[] {k, iterations};
}
iterations++;
c = c.subtract(difference);
}

Since this approach starts without a list of zeroes, it must build it up as it goes. The TODO would search a list for a zero within 2 * tolerance, and if there is none it would add c (or perhaps better c.add(difference.divide(2))) to the list.

• How would you detect which zero the iterations converge to? In other words, what is k in your last code block? – (And did you change your picture for this question ? :) – Martin R Sep 2 '16 at 13:49
• @MartinR, good point. It's necessary to track the zeroes in use, and to make an assumption that the separation between them is at least 4 * tolerance. And my picture has been the same for over 5 years (how time flies!): I changed it after writing the golfed Newton fractal code linked to in this answer. – Peter Taylor Sep 2 '16 at 17:24
• Thanks for your help -- your suggestions work nicely! I don't think I ever would have done such an optimization, and I really like the alternative for the loop, too. I'll look into switching to HSB as well. Thanks again! – TNT Sep 2 '16 at 22:51


text:
# question regarding Faltings' proof of the Tate conjecture for Abelian varieties over number fields

Why does Faltings in his "Endlichkeitssätze für Abelsche Varietäten über Zahlkörpern" in the proof of Theorem 3/4 assume that $W$ is a maximal isotropic $\pi$-invariant subspace? Tate also assumes this in his proof of the Tate conjecture for Abelian varieties over finite fields, but in http://www.jmilne.org/math/CourseNotes/AV.pdf p. 136, Lemma 2.4 there is no such assumption.

Tate needed isotropic in order to be able to apply Weil's theorem to get a polarization of the same degree on the quotient variety, but Faltings uses Zarhin's trick.

• Faltings uses a weaker finiteness theorem than Milne does and then uses Zarhin's trick to prove the statement for any invariant isotropic subspace. If one wants to use Zarhin's trick directly then one must first prove that any abelian variety has only finitely many direct factors (up to isomorphism). – naf Aug 12 '17 at 10:59
• @ulrich: Why don't you make your comment into an answer? – user19475 Aug 12 '17 at 16:25

There are the following Theorems 1 and 2 in Faltings' Finiteness Theorems for Abelian Varieties over Number Fields:

Theorem 1. There are only finitely many isomorphism classes of pairs of semiabelian varieties of relative dimension $g$ with proper generic fibre and principal polarisation of bounded height.

One can prove that this holds without the assumption principally polarised'', which simplifies the proof of the Key Lemma (that for $W \subseteq V_\ell A$ a $\mathbf{Q}_\ell[\pi]$-submodule there exists $u \in \mathrm{End}_K(A) \otimes \mathbf{Q}_\ell$ with $u(V_\ell A) = W$):

Theorem 1'. There are only finitely many isomorphism classes of semiabelian varieties of relative dimension $g$ with proper generic fibre and bounded height.

Proof of Theorem 1'. One can prove that $h(A) = h(A^\vee)$ for an abelian variety $A$ with semistable reduction, so $h((A \times_K A^\vee)^4) = 8h(A)$. By Zarhin's trick, $(A \times_K A^\vee)^4$ is principally polarised, so by Theorem 1, there are only finitely many isomorphism classes. Since an abelian variety has only finitely many direct factors up to isomorphism (because the set of idempotents in $\mathrm{End}_K(A) \otimes \mathbf{Q}$ modulo units is finite since this ring is semisimple), there are only finitely many isomorphism classes for $A$.

Theorem 2. The sequence $h(A_n)$ becomes stationary. (Note the Erratum.)

Now the answer to my question is:

To apply Theorem 1, one has to assume $W \subseteq V_\ell A$ maximal isotropic in order to have the $A_n$ principally polarised. Using Zarhin's trick, one can use Theorem 1' to avoid this.

Here are my talk notes on Faltings' proof of the Tate conjecture for Abelian varieties over number fields: https://www.timokeller.name/Vortrag%20Endomorphismen.pdf


text:
# IEE Proceedings H - Microwaves, Antennas and Propagation

## Filter Results

Displaying Results 1 - 14 of 14
• ### Warped-mode multiway combline directional couplers

Publication Year: 1986, Page(s):81 - 90
Cited by:  Papers (1)
| | PDF (1342 KB)

A new general matrix theory of mode warping is advanced for directional couplers with nearestneighbour interaction and an arbitrary number of lines. The design procedure involves defining the form of the normal-mode vector, the type of taper parameter¿¿ and then computing changes in the elements of the wave-propagation¿¿ matrix due to differential changes of normal-mode vector. The wave-propagat... View full abstract»

• ### Finite element analysis of H-plane rectangular waveguide problems

Publication Year: 1986, Page(s):91 - 94
Cited by:  Papers (3)
| | PDF (387 KB)

The equivalent circuit parameters of rectangular waveguide H-plane junctions, bends and obstacles may be found by a two-dimensional finite element method. Results are presented for perfectly conducting and dielectric obstacles, and for a waveguide bend. Good agreement is obtained with previously published results. View full abstract»

• ### Direct synthesis of the matched symmetric five-port junction from its scattering matrix

Publication Year: 1986, Page(s):95 - 98
| | PDF (377 KB)

The matched symmetric five-port is synthesised directly from its scattering matrix using the equation relating the admittance and scattering matrices. The significance of the overall phase of the scattering matrix in this procedure is discussed and two alternative five-ports illustrate this. The design technique may be used to design other junctions from a given scattering matrix, provided a suita... View full abstract»

• ### Automatic technique for the characterisation of a dielectric resonator coupled to a microstrip line

Publication Year: 1986
Cited by:  Papers (1)
| | PDF (460 KB)

An automatic computer controlled technique is proposed to measure the resonant frequency, loaded quality factor and coupling factor of a dielectric resonator coupled to a microstrip line. The complex transmission coefficient of the system is measured, as a function of frequency, by means of a network analyzer. At each frequency, the reflection coefficient is calculated and its magnitude is process... View full abstract»

• ### Metal-insert filters with improved characteristics

Publication Year: 1986, Page(s):103 - 107
Cited by:  Papers (2)
| | PDF (504 KB)

A computer-aided design is introduced for E-plane filters with single and double metal inserts within a reduced-width or increased-width waveguide section, respectively. This design achieves filter performances with high peak attenuation in a broad second stopband. The theory described includes both the higher-order mode interaction of all discontinuities and the finite thickness of the inserts. T... View full abstract»

• ### Prediction of the Fresnel region field of a compact antenna test range with serrated edges

Publication Year: 1986, Page(s):108 - 114
Cited by:  Papers (6)
| | PDF (767 KB)

The performance of antenna systems is always influenced by diffraction effects. Diffraction problems may be analysed using physical optics or geometrical theory of diffraction. Here, the Fresnel field of a rectangular aperture with serrated edges is analysed using physical optics. The method can be applied very succesfully in compact antenna test range design for a fast prediction of the test-zone... View full abstract»

• ### E-field solution of TM-scattering from multiple perfectly conducting and lossy dielectric cylinders of arbitrary cross-section

Publication Year: 1986, Page(s):115 - 121
Cited by:  Papers (13)
| | PDF (615 KB)

A simple moment solution is given for the problem of electromagnetic scattering from multiple conducting and lossy dielectric cylinders of arbitrary cross-section. The conductors may be of the form of strips and the dielectrics may be in the form of shells. The system is assumed to be excited by a plane wave polarised transverse magnetic to the axis of the cylinders. The equivalence principle is u... View full abstract»

• ### General dielectric-lens shaping using complex co-ordinates

Publication Year: 1986, Page(s):122 - 126
Cited by:  Papers (3)
| | PDF (471 KB)

The formulation of design equations for shaped dielectric lenses is considered under the assumptions of geometrical optics. The use of complex co-ordinates to track the refracted-ray directions introduces a very flexible approach in which no symmetry assumptions are necessary. The problem of designing a lens to serve as an optical transformer for aperture distribution control is shown, in general,... View full abstract»

• ### Multioctave bandwidth log-periodic microstrip antenna array

Publication Year: 1986, Page(s):127 - 136
Cited by:  Papers (8)
| | PDF (1208 KB)

The application of the log-periodic technique to the series-fed electromagnetically coupled overlaidpatch array allows antennas with flat conformal characteristics and wide bandwidths to be obtained. A k-¿¿ analysis of this and other microstrip array types indicate that the microstrip patch is not an optimum element for log-periodic arrays and that direct connection will result in arrays having a ... View full abstract»

• ### Dual frequency antenna integration using invisible grating structures

Publication Year: 1986, Page(s):137 - 142
| | PDF (774 KB)

In many applications, particularly on aircraft, the integration of two or more antennas into the same physical area is desirable. A technique, using compensated grating structures, is described which offers the opportunity of constructing radiating elements and feeds which are `invisible¿¿ at a second frequency. This technique is described in detail and its application to microstrip and other simi... View full abstract»

• ### EM-wave guidance by a highly conducting surface in uniform motion

Publication Year: 1986, Page(s):143 - 146
| | PDF (477 KB)

The propagation of radio waves along a highly conducting surface in uniform motion is investigated using the normalised surface impedance concept and the special relativity principle. Guidance along a perfectly flat as well as slightly rough interface is examined. The direction of motion is taken either parallel to the guiding direction or perpendicular to the mean plane of the interface. In all c... View full abstract»

• ### Experimental HF circular array with direction finding and null steering capabilities

Publication Year: 1986, Page(s):147 - 154
| | PDF (920 KB)

The paper describes an HF-circular-array receiving and direction finding system which also offers a capability for null steering. The experimental array consists of four wideband active loop antennas which feed a 4 ¿¿ 4 Butler matrix. The action of the Butler matrix is to analyse the signals received by the array in terms of phase-mode components. Direction finding can then be carried out by measu... View full abstract»

• ### Nonuniformly spaced slot array antenna with low sidelobe pattern

Publication Year: 1986, Page(s):155 - 158
Cited by:  Papers (1)
| | PDF (457 KB)

A numerical design method for a waveguide slot array antenna is proposed, by which the array, which has a low sidelobe pattern, is numerically designed. The slots are resonant, and the sources with cophasal excitations and desired amplitudes are designed by adjusting the space between the adjacent slots. It is shown theoretically that the desired low sidelobe pattern can be obtained by this method... View full abstract»

• ### Technical memorandum. Electronic tuning of high-Q VHF cavity resonators

Publication Year: 1986, Page(s):159 - 161
| | PDF (569 KB)

It is shown that fine tuning of high Q VHF coaxial cavity resonators over a range of some 500 kHz is possible using PIN diodes and capacitive probes, without serious degradation of the unloaded Q and without introducing severe nonlinearities. Coarse tuning over a range of several MHz is shown using switched loops. View full abstract»

## Aims & Scope

Published from 1985-1993, IEE Proceedings H contained significant and original contributions on microwaves, antenna engineering and radiowave propagation.

Full Aims & Scope


text:
0

# How do i detect when a player talks to a npc with a dialogue?

I am wondering how i can detect if a player talked with a npc using the dialogue, for context i am creating a shop that uses dialogue to buy the items.

1

If you are using Dialogue, you can use the event DialogChoiceSelected. This event detects whenever one of the dialogue choices has been selected in a dialogue.

For example, I have placed a TestDummy and have placed a Dialogue Onto It's Head, Then Inside the Dialogue, I have placed 3 Dialogue Choices.

I then created a local script and placed it onto StarterCharacter(this event only works locally).

local Dialogue = workspace.Dummy.Head.Dialog

Dialogue.DialogChoiceSelected:Connect(function(player, dialogueInstance)
print(player, dialogueInstance) --It has default params that gives you whoever triggered it and the dialogue choice,
--Do whatever you want here.
end)

Whenever one of the dialogue choices have been selected by the player, this event will trigger.

Note: Dialogue and DialogueChoices are two different things, DialogueChoices should be placed inside Dialogue.


text:
## anonymous 5 years ago write the general form of the equation of the circle. center: (0,0) radius: 3 I got: sqrt(x^2 + y^2) = 3

1. anonymous

x^2 + y^2 = 9

2. anonymous

Nomss, you are correct, as long as you append: $\pm \sqrt{x^2+ y^2} = 3$

3. anonymous

$\sqrt{x^2+y^2}=3$ is only the upper half of the circle

4. anonymous

the standard form is what i wrote

5. anonymous

him1618 is exactly right.

6. anonymous

their answers are correct :) good luck

7. anonymous

actually this is what i had too: x^2 + y^2 = 9 thanks guys :)

8. anonymous

um no no. i need general form...

9. anonymous

generel form ? can u explain more ?

10. anonymous

Ax^2 + Ay^2 + Dx + Ey + F = 0 A != 0

11. anonymous

so you got it by yourself !

12. anonymous

Yeah, $x^2 + y^2 = 9$ is the general form

13. anonymous

Good job bro =D !


text:
# Undefined control sequence \printbibliography

Could anybody give me some help on this problem I've come over?

\documentclass{article}
\usepackage{natbib}
\begin{document}
\bibliographystyle{ormsv080}
\bibliography{MST_TBS}
\printbibliography
\end{document}

when compiling, I got the error:

! undefined control sequence
1.13 \printbibliography

• natbib doesn't use/provide \printbibliography: the latter is part of biblatex, an alternative approach to natbib. Sep 27 '16 at 19:24
• ... so you don't want to have both \bibliography{..} and \printbibliography. Just remove the latter. Sep 27 '16 at 19:25
• Welcome to TeX.SX! Your MWE gets messed up by the inclusion of both biblatex & bibtex based commands, as @JosephWright points out. Also, \usepackage[style=<somebiblatexstyle>,<other options>]{biblatex}, \addbibresource[<options for bib resources>]{<mybibfile>.bib}% Syntax for version >= 1.2 are also missing from your MWE preamble. To get things working properly with biblatex, follow the following excellent links: tex.stackexchange.com/q/5091/78565 & sharelatex.com/learn/Bibliography_management_with_biblatex .
– Amar
Sep 27 '16 at 19:43
• Possible duplicate of Undefined control sequence in \printbibliography (biblatex)
– Amar
Sep 27 '16 at 19:47
• @Amar No, that is not a duplicate. Sep 27 '16 at 20:42

I assume the unformatted bibliographic entries are contained in the file MST_TBS.bib. Depending on whether you want to create the bibliography with either natbib (and BibTeX) or biblatex (and biber), you should use one of the following templates.

1. natbib and BibTeX

\documentclass{article}
\usepackage{natbib}
\bibliographystyle{ormsv080}
\begin{document}
....
\bibliography{MST_TBS} % note: no ".bib" extension
\end{document}

Assuming the main tex file is called main.tex, the compilation sequence is

latex main
bibtex main
latex main
latex main

2. biblatex and biber

\documentclass{article}
\usepackage[<various options that replicate the settings of
the "ormsv080" bibliography style>]{biblatex}
\addbibresource{MST_TBS.bib} % note the ".bib" extension
\begin{document}
....
\printbibliography
\end{document}

Now, the compilation sequence is

latex main
biber main
latex main

• Isn't there a typo at \addbibresource{{MST_TBS.bib} (no closing })?
– hola
Jun 6 '17 at 2:14
• @pushpen.paul - Thanks. Yup, that was a typo. :-(
– Mico
Jun 6 '17 at 3:24


text:
## Advances in Differential Equations

### Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles

André H. Erhardt

#### Abstract

In this paper, we establish the existence theory to nonlinear parabolic problems with nonstandard $p(x,t)$-growth conditions and irregular obstacles.

#### Article information

Source
Adv. Differential Equations Volume 21, Number 5/6 (2016), 463-504.

Dates
First available in Project Euclid: 9 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.ade/1457536498

Mathematical Reviews number (MathSciNet)
MR3473582

Zentralblatt MATH identifier
1338.35266

#### Citation

Erhardt, André H. Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. Adv. Differential Equations 21 (2016), no. 5/6, 463--504. https://projecteuclid.org/euclid.ade/1457536498