0_Wizard
I always though I would enjoy studying archeology.
Archaeology, or archeology, is the study of human activity through the recovery and analysis of material culture.
chosen_Archaeology_0
Archaeology
chosen_topic_0_Archaeology
Riemann integral
In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. It was presented to the faculty at the University of Göttingen in 1854, but not published in a journal until 1868. For many functions and practical applications, the Riemann integral can be evaluated by the fundamental theorem of calculus or approximated by numerical integration. The Riemann integral is unsuitable for many theoretical purposes. Some of the technical deficiencies in Riemann integration can be remedied with the Riemann–Stieltjes integral, and most disappear with the Lebesgue integral.
Itô calculus
Itô calculus, named after Kiyoshi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important applications in mathematical finance and stochastic differential equations. The central concept is the Itô stochastic integral, a stochastic generalization of the Riemann–Stieltjes integral in analysis. The integrands and the integrators are now stochastic processes: where "H" is a locally square-integrable process adapted to the filtration generated by "X" , which is a Brownian motion or, more generally, a semimartingale. The result of the integration is then another stochastic process.
Fourier transform
The Fourier transform (FT) decomposes a function of time (a "signal") into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes. The Fourier transform of a function of time itself is a complex-valued function of frequency, whose absolute value represents the amount of that frequency present in the original function, and whose complex argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is called the "frequency domain representation" of the original signal. The term "Fourier transform" refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of time.
Locally integrable function
In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition. The importance of such functions lies in the fact that their function space is similar to spaces, but its members are not required to satisfy any growth restriction on their behavior at infinity: in other words, locally integrable functions can grow arbitrarily fast at infinity, but are still manageable in a way similar to ordinary integrable functions. Let be an open set in the Euclidean space and be a Lebesgue measurable function.
Integrable system
In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems. In the general theory of differential systems, there is "Frobenius integrability", which refers to overdetermined systems. In the classical theory of Hamiltonian dynamical systems, there is the notion of "Liouville integrability". This causes the trajectories to be fixed to smaller submanifolds allowing the solution to be expressed with a sequence of integrals (the origin of the name integrable). More generally, in differentiable dynamical systems integrability relates to the existence of foliations by invariant submanifolds within the phase space.
Henstock–Kurzweil integral
In mathematics, the Henstock–Kurzweil integral or gauge integral (also known as the (narrow) Denjoy integral (pronounced ), Luzin integral or Perron integral, but not to be confused with the more general wide Denjoy integral) is one of a number of definitions of the integral of a function. It is a generalization of the Riemann integral, and in some situations is more general than the Lebesgue integral. This integral was first defined by Arnaud Denjoy (1912). Denjoy was interested in a definition that would allow one to integrate functions like  This function has a singularity at 0, and is not Lebesgue integrable.
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function. The first part of the theorem, sometimes called the first fundamental theorem of calculus, states that one of the antiderivatives (also called "indefinite integral"), say "F", of some function "f" may be obtained as the integral of "f" with a variable bound of integration. This implies the existence of antiderivatives for continuous functions. Conversely, the second part of the theorem, sometimes called the second fundamental theorem of calculus, states that the integral of a function "f" over some interval can be computed by using any one, say "F", of its infinitely many antiderivatives.
1_Apprentice
Are you thinking of studying archaeology in the future?
0_Wizard
Maybe as a hobby. Unfortunately though, arechaeology as a vocation is about as unlikely to yield gainful employment as most of the social sciences and humanities.
Archaeology can be considered both a social science and a branch of the humanities.
chosen_Archaeology_0
Archaeology
chosen_topic_0_Archaeology
Gainful employment
In broad language, gainful employment refers to an employment situation where the employee receives steady work and payment from the employer. In psychology, gainful employment is a positive psychology concept that explores the benefits of work and employment. Second only to personal relationships, work is the most important determinant of quality of life. Over 7855 articles were published on job satisfaction between the years 1976 and 2000. Positive psychology’s emphasis on gainful employment has increased the amount of recent publications on gainful employment and its impact on quality of life and illnesses like depression.
For-profit higher education in the United States
For-profit higher education in the United States (known as for-profit college or proprietary education in some instances) refers to higher education educational institutions operated by private, profit-seeking businesses. Historically, most colleges and universities in the US have been non-profit, but for-profit institutions rapidly grew in number and size from 1972 to 2009. This also includes culinary arts schools and certain vocational for-profit schools. Although supporters of for-profit higher education have argued that the profit motive encourages efficiency, the for-profit educational industry has received severe negative criticism because of its sales techniques, high costs, and poor student outcomes.
Water scarcity in Africa
Water scarcity or lack of safe drinking water is one of the world's leading problems affecting more than 1.1 billion people globally, meaning that one in every six people lacks access to safe drinking water. The Joint Monitoring Programme for Water Supply and Sanitation set up by the World Health Organization (WHO) and United Nations Children's Fund (UNICEF) defines safe drinking water as "water with microbial, chemical and physical characteristics that meets WHO guidelines or national standards on drinking water quality." Hydrologists generally assess water scarcity by looking at a population-to-water equation that treats 1,700 cubic meters per person as the national threshold for meeting water requirements for agricultural and industrial production, energy, and the environment.
Humanities
Humanities are academic disciplines that study aspects of human society and culture. In the renaissance, the term contrasted with divinity and referred to what is now called classics, the main area of secular study in universities at the time. Today, the humanities are more frequently contrasted with natural, and sometimes social, sciences as well as professional training. The humanities use methods that are primarily critical, or speculative, and have a significant historical element—as distinguished from the mainly empirical approaches of the natural sciences, yet, unlike the sciences, it has no central discipline.
Social science
Social science is a major category of academic disciplines, concerned with society and the relationships among individuals within a society. It in turn has many branches, each of which is considered a social science. The social sciences include, but are not limited to, economics, political science, human geography, demography, management, psychology, sociology, anthropology, archaeology, jurisprudence, history, and linguistics. The term is also sometimes used to refer specifically to the field of sociology, the original 'science of society', established in the 19th century. A more detailed list of sub-disciplines within the social sciences can be found at Outline of social science.
Education Management Corporation
Education Management Corporation ("EDMC") is a Pittsburgh, Pennsylvania-based operator of for-profit post-secondary educational institutions in the United States and Canada. The company was founded in 1962. Education Management Corporation has operated 110 schools through its two higher education divisions: The Art Institutes, and Brown Mackie College. In October 2015, EDMC reported a student enrollment of 91,000, a 43% drop from its peak enrollment of 158,300 in 2011. EDMC has a reported 109 locations, but more than 40 Brown Mackie Colleges and Art Institutes schools are in the process of closing.
The Thousand Orcs
The Thousand Orcs is a fantasy novel by American writer R. A. Salvatore, the first book in his series "The Hunter's Blades Trilogy". In it, Drizzt Do'Urden is separated from his friends while orcs, giants, and a few drow are determined to destroy everything in their path. In "The Thousand Orcs", a clan of frost giants led by Gerti Orelsdottr allied with the orc King Obould Many-Arrows to send a massive army against the towns of the North. On the sidelines, four drow from the Underdark orchestrate events behind the scenes, playing each side against the other for their own advantage. Drizzt is separated from his friends during the siege at the town of Shallows.
1_Apprentice
That's a shame. How would you go about studying archaeology for a hobby? Any particular area that interests you?