text:
# Topological Structures of Generalized Volterra-Type Integral Operators

Topological Structures of Generalized Volterra-Type Integral Operators We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply than those already known Berezin type characterizations. Then, we apply these conditions to study the compact and Schatten $$\mathcal {S}_p$$ S p class difference topological structures of the space of the operators. In particular, we proved that the difference of two Volterra-type integral operators is compact if and only if both are compact. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

# Topological Structures of Generalized Volterra-Type Integral Operators

, Volume 15 (2) – Feb 22, 2018
16 pages

/lp/springer_journal/topological-structures-of-generalized-volterra-type-integral-operators-dRpxa27TdQ
Publisher
Springer International Publishing
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-018-1080-5
Publisher site
See Article on Publisher Site

### Abstract

We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply than those already known Berezin type characterizations. Then, we apply these conditions to study the compact and Schatten $$\mathcal {S}_p$$ S p class difference topological structures of the space of the operators. In particular, we proved that the difference of two Volterra-type integral operators is compact if and only if both are compact.

### Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Feb 22, 2018

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Do plane projections determine a convex polytope? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T02:29:24Z http://mathoverflow.net/feeds/question/15612 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/15612/do-plane-projections-determine-a-convex-polytope Do plane projections determine a convex polytope? Igor Pak 2010-02-17T19:18:47Z 2013-02-13T17:15:34Z
Suppose a compact convex body \$P \subset \Bbb R^3\$ has only polygonal orthogonal projections onto a plane. Does this imply that \$P\$ is a convex polytope?

This question occurred to me when I was making exercises for my book. I figured this is probably easy and well known, but the literature hasn't been any help. One remark: if the number of sides of all polygons is bounded by \$n\$, the problem might be easier. Furthermore, if \$P\$ is assumed to be a convex polytope, this elegant paper by Chazelle-Edelsbrunner-Guibas (1989) gives a (perhaps, unexpectedly large) sharp \$\exp O(n \log n)\$ upper bound on the number of vertices of \$P\$ (ht Csaba Toth who generalized this to higher dimensions).
 http://mathoverflow.net/questions/15612/do-plane-projections-determine-a-convex-polytope/15815#15815 Answer by Mark Meckes for Do plane projections determine a convex polytope? Mark Meckes 2010-02-19T14:34:17Z 2010-02-19T15:41:24Z
Theorem 4.1 of this paper by Klee says yes. Moreover, the result generalizes to higher dimensions for projections of arbitrary dimension \$\ge 2\$.
 http://mathoverflow.net/questions/15612/do-plane-projections-determine-a-convex-polytope/121729#121729 Answer by Anton Petrunin for Do plane projections determine a convex polytope? Anton Petrunin 2013-02-13T17:15:34Z 2013-02-13T17:15:34Z
Here is a more direct proof of this statement.

A Short Proof of Klee's Theorem by John J. Zanazzi

format: plain


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# calcium metal reactivity with dilute hydrochloric application

## BECE Past Questions Answers - 2010 (SCIENCE) | Page 2 of 2

dressing as a method of fertilizer application. Calcium hydroxide solution and dilute hydrochloric piece of a metal that melts if the current

## when calcium carbonate is added to dilute hydrochloric

20121216-of reaction occurs when calcium carbonate is added to dilute hydrochloric Concentrated hydrochloric acid is simultaneously added to the f

## GCSE CHEMISTRY - The Reactivity of Metals with Dilute Acid -

The Reactivity of Metals with Dilute Acid The Reactivity Series The Reaction of Metals with Dilute Acid.Potassium, sodium, lithium and calcium all react

## dilute hydrochloric acid - The Acid Test for Carbonate

A drop of hydrochloric acid will fizz when it is in contact with carbonate minerals such as calcite and dolomite or carbonate rocks such as limestone,

## Preparation of Gases in Laboratory

2009829-manganese Carbon dioxide dioxide Dilute hydrochloric acid react with marble metals like potassium, calcium and sodium combine with cold w

## USE OF DILUTE HYDROCHLORIC ACID IN ADVANCED INTERCONNECT

2008102-Patent application title: USE OF DILUTE HYDROCHLORIC ACID IN ADVANCED INTERCONNECT CONTACT CLEAN IN NICKEL SEMICONDUCTOR TECHNOLOGIES Invent

## topicIndexAatoAC

Dilute acids with calcium hydrogen carbonate: 12 Dilute acids with metals, hydrochloric acid: 12 The higher the metal is in the reactivity

1. The solution gives no apparent reaction with dilute hydrochloric acid The metal calcium reacts with molecular hydrogen to form a compound. All

## of extractable metals in dilute hydrochloric acid |

Standards Library All News Analysis Products Services Standards Library Reference Library Community I forgot my password. Dont have an account?

## 【PDF】excess of dilute hydrochloric acid is added to calcium carbo

[Turn over 2 1 Which is an anion that is present in the solution formed when an excess of dilute hydrochloric acid is added to calcium carbonate? A

## Properties of dilute polymer solutions I—Osmotic and visco

Download Citation on ResearchGate | Properties of dilute polymer solutions I—Osmotic and viscometric properties of solutions of conventional polymethyl

## Dilute Hydrochloric Acid Wholesale, Hydrochloric Acid

Dilute Hydrochloric Acid, Wholesale Various High Quality Dilute Hydrochloric Acid Products from Global Dilute Hydrochloric Acid Suppliers and Dilute Hydrochlo

## What happens when dilute acids react with chemically active

Hydrogen gas is evolved along with the formation of a salt. For example, when hydrochloric acid (HCl) is reacted with magnesium (Mg):2 HCl + Mg -

## Why are some metals more reactive in dilute hydrochloric acid

Why are some metals more reactive in dilute hydrochloric acid than cold water? Shouldnt they be the same? Does reactivity differ with the temperature


text:
# zbMATH — the first resource for mathematics

## Found 2 Documents (Results 1–2)

Pardalos, Panos M. (ed.) et al., Advances in randomized parallel computing. Dordrecht: Kluwer Academic Publishers. Comb. Optim. 5, 159-182 (1999).
MSC:  68T20 68T40
Agarwal, Pankaj K. (ed.) et al., Robotics: The algorithmic perspective. Papers form the 3rd workshop on the algorithmic foundations of robotics, WAFR 98, held in Houston, TX, USA, March 5-7, 1998. Natick, MA: A. K. Peters. 141-153 (1998).
MSC:  70E60


text:
# zbMATH — the first resource for mathematics

A singular perturbation analysis of the fundamental semiconductor device equations. (English) Zbl 0568.35007
The author presents a singular perturbation analysis of the fundamental semiconductor device equations reformulated as an elliptic nonlinear system, subject to mixed Neumann-Dirichlet boundary conditions. The minimal normed Debye-length $$\lambda$$ of the device appears as a multiplier of the Laplace operator in Poisson’s equation and plays the role of the perturbation parameter. Under the assumption of zero- generation-recombination, a priori estimates independent of $$\lambda$$ are derived and lead to the existence of weak solutions.
To investigate the asymptotic behaviour of the solutions as $$\lambda$$ $$\to 0$$, the author employs the method of matched asymptotic expansions. It turns out that the regular expansion (in power series of $$\lambda)$$ has to be supplemented by interior layer terms locally about semiconductor-oxide interfaces and functions. No boundary layers occur at ohmic contacts and insulating elements.
The author gives existence results for the reduced problems, for the outer solution as well as for the layer terms. It is proved that the sum of the inner and outer solutions approximates the full solution uniformly for small $$\lambda$$ if the device is in thermal equilibrium.
The singular perturbation analysis provides a tool for the construction of meshes for the numerical solution. A numerical simulation for a 2- dimensional diode is presented with several interesting figures.
These results appear to extend previous one-dimensional results by the same author with others [see P. A. Markowich and C. Ringhofer, ibid. 44, 231-256 (1984; Zbl 0559.34058)].
Reviewer: C.M.Brauner

##### MSC:
 35B25 Singular perturbations in context of PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 78A30 Electro- and magnetostatics 35C20 Asymptotic expansions of solutions to PDEs 35D05 Existence of generalized solutions of PDE (MSC2000)
Full Text:


text:
spec_driver_data_type

## Value

dbDataType() returns the SQL type that corresponds to the obj argument as a non-empty character string. For data frames, a character vector with one element per column is returned. An error is raised for invalid values for the obj argument such as a NULL value.

## Specification

The backend can override the dbDataType() generic for its driver class.

This generic expects an arbitrary object as second argument. To query the values returned by the default implementation, run example(dbDataType, package = "DBI"). If the backend needs to override this generic, it must accept all basic R data types as its second argument, namely logical, integer, numeric, character, dates (see Dates), date-time (see DateTimeClasses), and difftime. If the database supports blobs, this method also must accept lists of raw vectors, and blob::blob objects. As-is objects (i.e., wrapped by I()) must be supported and return the same results as their unwrapped counterparts. The SQL data type for factor and ordered is the same as for character. The behavior for other object types is not specified.


text:
1. ## alternating series test

Hi all,

I was wondering for the following series:

$
\sum_{n=1}^{\infty}\frac{(-1)^(n-1)(-1)^n}{n}
$

NOTE: in the numerator it is meant to be (-1)^(n-1) times by (-1)^n .... sorry i can't it get the code to work

are you allowed to let a_n = (-1)^n/ n and say that since a_n is not >0 for all n>=1, therefore the series diverges?

ArTiCk

2. Originally Posted by ArTiCK
Hi all,

I was wondering for the following series:

$
\sum_{n=1}^{\infty}\frac{(-1)^{n-1}(-1)^n}{n}
$

NOTE: in the numerator it is meant to be (-1)^(n-1) times by (-1)^n .... sorry i can't it get the code to work

are you allowed to let a_n = (-1)^n/ n and say that since a_n is not >0 for all n>=1, therefore the series diverges?

your $a_n = \frac 1n$ here. so, $\lim_{n \to \infty}a_n = 0$
Note that $(-1)^{n - 1}(-1)^n = (-1)^{2n - 1} = -1$, thus your series is $\sum_{n = 1}^\infty \frac {-1}n$, which is a divergent harmonic series. The alternating series test does not apply since you do not have an alternating series.


text:
# Coupling of vector gauge to a tensor field problem

1. Jul 22, 2012

### aries0152

1. The problem statement, all variables and given/known data
Hi
I was reviewing this paper.
But I stuck in the last part. (equation 25)

According to the paper the Lagrangian is -
$$2L=(\dot{V^{T})^{2}}-(\nabla\times V^{T})^{2}+[\dot{B}^{T}-\nabla\times A^{T}]^{2}+2mV^{T}.(\nabla\times A^{T})+2mB^{T}.\dot{V}^{T}+2\mu^{2}A^{T}.B^{T}------(1)$$
And after imposing the conditions below-
$$B^{L}=A^{L}=0=\dot{V^{L}}-\nabla U------(2)$$
$$A^{T}.B^{T}=-(\nabla\times A^{T}).(\nabla^{2})^{-1}(\nabla\times B^{T})------(3)$$
$$(\nabla\times A^{T})=\dot{B^{T}}-mV^{T}+\mu^{2}(\nabla^{2})^{-1}(\nabla\times B^{T})------(4)$$

There would be only two terms (according to the paper)-
$$2L= (\dot{V^{T})^{2}}+\mathbf{V}^{T}\nabla^{2}\mathbf{V}^{T}$$

My Calculation:
But after I use the condition (2), (3) and (4) and put them into (1). But I have found the equation-
$$2L= (\dot{V^{T})^{2}}+\mathbf{V}^{T}\nabla^{2}\mathbf{V}^{T}+2mB^{T}.\dot{V}^{T}-m^{2}(V^{T})^{2}-\mu^{4}(\nabla^{2})^{-2}(\nabla\times B^{T})^{2}$$
$$+2\dot{B}^{T}mV^{T}+2mV^{T}\mu^{2}(\nabla^{2})^{-1}(\nabla\times B^{T})-2\mu^{2}(\nabla^{2})^{-1}(\nabla\times B^{T})\dot{B}^{T}$$
So there are some extra terms that need to be eliminated.

How can I do it? Is there any other condition that needed to be applied? Please help.


text:
axiom-developer
[Top][All Lists]

## Re: [Axiom-developer] non extending category

 From: Ralf Hemmecke Subject: Re: [Axiom-developer] non extending category Date: Mon, 13 Feb 2006 01:05:08 +0100 User-agent: Thunderbird 1.5 (X11/20051201)

On 02/12/2006 08:31 PM, Bill Page wrote:

I haven't found a definition for the "SubDomain" constructor

Like SubsetCategory, SubDomain is apparently a compiler primative.

Hmm, that cannot be true.

Did you check the references in the interp/compiler.boot code that
I sent you?

No I did not check. I don't speak "BOOT".

Now I checked and I know as much as I knew before. That code is not understandable to me. Although I tend to say that in

coerceSubset([x,m,e],m') ==
isSubset(m,m',e) or m="Rep" and m'="\$" => [x,m',e]
m is ['SubDomain,=m',:.] => [x,m',e]
(pred:= LASSOC(opOf m',get(opOf m,'SubDomain,e))) and INTEGERP x and
-- obviously this is temporary
eval substitute(x,"#1",pred) => [x,m',e]

(pred:= isSubset(m',maxSuperType(m,e),e)) and INTEGERP x -- again temporary
    and eval substitute(x,"*",pred) =>
[x,m',e]
nil

(which is the only place where "SubDomain" appears) that does not look like a DEFINITION of "SubDomain", more like USE.

If I compile just with the Aldor compiler, then the SPAD compiler
is not involved.

But src/algebra/integer.spad is involved indirectly through
the Axiom library interface, I think.

That should certainly be true, but that code does not contain a definition of SubDomain. It must be defined somewhere else and that code must live in libaxiom.al since that is the only data that Aldor sees from Axiom.

So if the Aldor compiler does not complain, it must find
"SubDomain" in libaxiom.al. I am pretty sure that the Aldor
compiler does NOT know of "SubDomain" by itself.

Perhaps it is true that stand alone Aldor does implement
something like SubDomain in the algebra.

There are three relevant libraries around
1) libaldor.al (aldor.org)
2) libalgebra.al (aldor.org)
3) libaxiom.al (AXIOM)

Since I have access to the sources of the first two libraries, I can assure you that there is no definition of "SubDomain" there.

Aldor, in a sense,
is a more "primitive" compiler than SPAD, i.e. with fewer
things built-in and more of "SPAD" actually coded in Aldor.

Right. That is the reason why it is actually easy to learn Aldor. There are only a few language constructs that you have to remember.
It is much harder to learn what is available through libraries.

Unfortunately, there are several libraries around and except that libalgebra.al builds upon libaldor.al, there are many incompatibilities between libaxiom and libalgebra.

To make things even more complicated... there is also a library libaxllib.al and basicmath.al. I haven't seen the latter one, but Marc Moreno Maza (who wrote most of it -- I believe) ported much code to libalgebra.al.

In integer.spad it says

NonNegativeInteger: ...
== SubDomain(Integer, #1 >= 0) add ...

So, if I remember correctly, "#1 >=0" is an old way of declaring an anonymous function (without giving the types!!!)

(x: Integer): Boolean +-> x >=0

No. The expression '#1 >= 0' is a boolean expression which is
saying something like "you can coerce an Integer to an NNI
provided that the integer value is greater than or equal to
zero".

OK. '#1 >= 0' is depending on the first argument of SubDomain. Otherwise, nobody could find out what the symbol '0' actually stands for. So I guess then an Aldor definition would look like

SubDomain: (T: Type, isElement?: T -> Boolean): ??? == { ... }

where ??? is some category that is quite hard to guess.
And the second entry of SubDomain is a Boolean valued function
(ie. '#1 >= 0' is a function).

But what does SubDomain return?

SubDomain is an expression that defines a new domain.

That is a good guess. ;-)

And a much more interesting question: how does this work?

For that you must consult the undocumented interp/compiler.boot
source code. :(

Since SubDomain is not clearly defined, nobody will be able to use it properly except those few people who know about its semantics. For all the others it is guesswork and that totally contradicts the goal of Axiom to support a clear type hierarchy.

If I see Integer, than that is a blackbox for me. I only
know the interface, ie, its type or its category.

Now what should SubDomain do? It takes, for example, the implementation of a function *: (%, %) -> % from Integer
and returns another implementation that checks whether the
input arguments are non-negative and the result is non-negative.

No. I think it simply lifts all operations from Integer to NNI.

That is what I feared. It is like a hidden "pretend" somewhere.

In Aldor one could write it like

NNI: SomeCategory == Integer add {
Rep == Integer;
-- remaining functions
}

NNI then inherits anything from Integer that it does not explicitly override. So for example, if SomeCategory contains

-: (%, %) -> %

and NNI does not explicitly override it, then it is the - from Integer.

But that would clearly not be the intend of the programmer, since 3-4 is not a NNI. So one has to override it.

(a: %) - (b: %): % == {
c: Rep := rep a - rep b;
if c < 0 then throw NoNonNegativeIntegerException;
per c;
}

I guess, what SubDomain does, is to add to each function that returns "%" (i.e. a NNI) a check that is given through the second argument of SubDomain.

That looks inefficient, given that there is no need for a check for the addition function. :-(

Oh, something interesting... After the definition of NNI in integer.spad it reads

{\bf NNI} depends on itself.

That is not at all obvious for my eyes. If Integer would be implemented without referring to NNI (and that can be done),
then NNI could be implemented on top of Integer. So why is there
a need for a cycle here?

I also do not understand this comment in the code.

Well, maybe it is a little like in the libraries of Aldor. In libaldor Integer is defined. But the concept of an AbelianMonoid is not yet there. Later, (in libalgebra) the category AbelianMonoid is introduced which contains the signature

*: (Integer, %) -> %;

Again, later Integer is extended to belong o the category AbelianMonoid.

That looks like a circular definition for Integer, but by means of Aldor's "extend" keyword, that causes no problem at all.

Ralf


text:
# Solutions to this PDE?

1. Feb 22, 2013

### AntSC

I have seen a couple of solutions to this PDE -

$\frac{\partial x}{\partial u}=\frac{x}{\sqrt{1+y^{2}}}$

One is -

$u=\ln \left | y+\sqrt{1+y^{2}} \right |+f\left ( x \right )$

I have no idea how this is arrived at or if it's correct. This is what i want to know.

The solution i've checked out makes the substitution of $y=\sinh \theta$ giving -

$u=x\ln \left | \cosh \theta \right | + f\left ( x \right )$

which is where i'm a bit stuck as substituting in $\theta =\sinh^{-1} y$ gives a $\cosh \sinh^{-1} y$ term that i don't know how to simpify.

Any help with both of these would be appreciated

2. Feb 22, 2013

### HallsofIvy

Staff Emeritus
I am confused by your notation. You have x differentiated with respect to u but on the right both x and y. If you really mean what you have, it is not a "partial" differential equation at all. We are thinking of x as a function of u, with y a fixed parameter. Further that is a separable equation: $dx/du= x\sqrt{1+ y^2}$ gives
$$\frac{dx}{x}= \frac{du}{\sqrt{1+ y^2}}$$
$$ln|x|= \frac{u}{\sqrt{1+ y^2}}+ c$$
$$x= Ce^{\frac{u}{\sqrt{1+ y^2}}}$$
where $C= e^c$.

Your original equation treats x as a function of u but your answer gives u as a function of x. Which is intended? if the latter, then
$$\frac{du}{dx}= \frac{\sqrt{1+ y^2}}{x}$$
$$\frac{du}{\sqrt{1+ y^2}}= \frac{dx}{x}$$
$$\frac{u}{\sqrt{1+ y^2}}= ln|x|+ C$$
$$u= (ln|x|+ C)\sqrt{1+y^2}$$
essentially just solving the previous equation for u.

3. Feb 23, 2013

### AntSC

Sorry, i've written the dependent and independent variables the wrong way round and got the independent variable wrong. It's been a long week!

It should be -

$\frac{\partial u}{\partial y}=\frac{x}{\sqrt{1+y^{2}}}$

for a function $u\left ( x,y,z \right )$

There will be a constant term in the form $f\left ( x,z \right )$ in addition to whatever the result of the integration yields (which i can't work out).

Last edited: Feb 23, 2013
4. Feb 26, 2013

### HallsofIvy

Staff Emeritus
Since there is no differentation with respect to x, you can treat x as a parameter:
$$\frac{du}{dy}= \frac{x}{\sqrt{1+ y^2}}$$
is separable
$$du= x\frac{dy}{\sqrt{1+ y^2}}$$

5. Feb 27, 2013

### AntSC

I've managed to get it sussed. Thanks everyone for the help. Even if it was for me to see that i've written the question down wrong!


text:
zbMATH — the first resource for mathematics

A discreteness criterion for the spectrum of the Laplace–Beltrami operator on quasimodel manifolds. (Russian, English) Zbl 1018.58022
Sib. Mat. Zh. 43, No. 6, 1362-1371 (2002); translation in Sib. Math. J. 43, No. 6, 1103-1111 (2002).
The article is devoted to studying the spectrum of the Laplace-Beltrami operator on noncompact Riemannian manifolds of a special form, in particular, on model manifolds.
The author investigates the dependence of the spectrum of the Laplace-Beltrami operator on the metric of a manifold. A complete noncompact Riemannian manifold $$M$$ without boundary is considered which is representable as $$B\cup D$$, where $$B$$ is a compact set and $$D$$ is isometric to the product $$\mathbb R_+\times S_1\times S_2\times\dots\times S_k$$ ($$S_i$$ are compact Riemannian manifolds without boundary) with the metric $$ds^2$$. The author is interested in the case when $$M$$ is endowed with some Borel measure $$\mu$$ not necessarily coincident with the Riemannian volume. In this case the pair $$(M,\mu)$$ is called a weighted manifold.
The main result of the article is a discreteness criterion for the spectrum of the Laplace-Beltrami operator on a weighted manifold $$M$$ in terms of the volume and capacity of some domains on a weighted manifold $$M$$.

MSC:
 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 58J05 Elliptic equations on manifolds, general theory 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 35P05 General topics in linear spectral theory for PDEs
Full Text:


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You have four jugs of 9, 7, 4 and 2 litres capacity. The 9 litre jug is full of wine, the others are empty. Can you divide the wine into three equal quantities?

The Patent Solution

Stage: 3 Challenge Level:

A combination mechanism for a safe comprises thirty-two tumblers numbered from one to thirty-two in such a way that the numbers in each wheel total 132... Could you open the safe?

Always the Same

Stage: 3 Challenge Level:

Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number. Cross out the numbers on the same row and column. Repeat this process. Add up you four numbers. Why do they always add up to 34?

Got It

Stage: 2 and 3 Challenge Level:

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Score

Stage: 3 Challenge Level:

There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about. . . .

Digit Sum

Stage: 3 Challenge Level:

What is the sum of all the digits in all the integers from one to one million?

Clocked

Stage: 3 Challenge Level:

Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

Hot Pursuit

Stage: 3 Challenge Level:

The sum of the first 'n' natural numbers is a 3 digit number in which all the digits are the same. How many numbers have been summed?

Largest Number

Stage: 3 Challenge Level:

What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

As Easy as 1,2,3

Stage: 3 Challenge Level:

When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .

Kids

Stage: 3 Challenge Level:

Find the numbers in this sum

Like Powers

Stage: 3 Challenge Level:

Investigate $1^n + 19^n + 20^n + 51^n + 57^n + 80^n + 82^n$ and $2^n + 12^n + 31^n + 40^n + 69^n + 71^n + 85^n$ for different values of n.

Cubes Within Cubes

Stage: 2 and 3 Challenge Level:

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

Constellation Sudoku

Stage: 4 and 5 Challenge Level:

Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.

Chameleons

Stage: 3 Challenge Level:

Whenever two chameleons of different colours meet they change colour to the third colour. Describe the shortest sequence of meetings in which all the chameleons change to green if you start with 12. . . .

Playing Connect Three

Stage: 3 Challenge Level:

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

4 Dom

Stage: 1, 2, 3 and 4 Challenge Level:

Use these four dominoes to make a square that has the same number of dots on each side.


text:
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# An integer 14^n is divisible by 32

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An integer 14^n is divisible by 32 [#permalink]  23 Jul 2018, 11:25
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Question Stats:

80% (00:49) correct 20% (00:43) wrong based on 40 sessions
An integer $$14^n$$ is divisible by 32 with remainder zero.

 Quantity A Quantity B n 4

A) Quantity A is greater
B) Quantity B is greater
C) Both quantities are equal
D) It can not be determined
[Reveal] Spoiler: OA

Last edited by Carcass on 25 Jul 2018, 02:07, edited 2 times in total.
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Re: Quantitative comparison_An integer 14^n is divisible by 32 [#permalink]  24 Jul 2018, 16:01
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we factorize 14 as $$2*7$$ so for $$14^n$$ to be divisible by $$32$$ ($$2^5$$) $$n$$ must be equal to 5 or more.

Hence quantity A is greater.
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Re: An integer 14^n is divisible by 32 [#permalink]  23 Oct 2018, 08:42
This was one of the questions in the exam.
Re: An integer 14^n is divisible by 32   [#permalink] 23 Oct 2018, 08:42
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# 超越整数

549このwikiの
ページ数

## 性質 編集

Notion of transcendental number is meaningful iff ZFC is consistent. We will assume that in this article.

It is clear that if \(m>n\) and \(n\) is transcendental, then so is \(m\). Equivalently, transcendental integers are upwards closed, and consequently there is a smallest transcendental integer.

Friedman suspects that this kind of numbers should naturally arise in Boolean relation theory. It is very likely that transcendental integers quickly appear in Friedman's 有限約束ゲーム, because corresponding functions outgrow all provably recursive functions of SMAH, which is strong extension of ZFC. However, no specific examples of nontrivial transcendental integers are known.

## 出典 編集

1. https://u.osu.edu/friedman.8/files/2014/01/EnormousInt.12pt.6_1_00-23kmig3.pdf


text:
## Problem 1A.3

$c=\lambda v$

Isabelle Fontanilla 1I
Posts: 60
Joined: Fri Sep 28, 2018 12:19 am

### Problem 1A.3

Can someone explain why the answer to this problem is: c) "The extent of the change in the electrical field at a given point decreases"? I know that the other choices are wrong, but I don't know how to explain that this choice is right. The problem reads: "Which of the following happens when the frequency of the electromagnetic radiation decreases?"

305008749
Posts: 31
Joined: Fri Sep 28, 2018 12:27 am

### Re: Problem 1A.3

According to the solutions manual, "the electrical field corresponds to the amplitude; as the frequency decreases, the waves broaden and the extent of the change (the slope of the wave) decreases." I hope this helps!

Faith Fredlund 1H
Posts: 68
Joined: Fri Sep 28, 2018 12:18 am

### Re: Problem 1A.3

As electromagnetic radiation decreases, the wavelength becomes shorter and therefore the distance between each crest grows. Because the distance between each peak is longer, the over slope of the wavelength becomes less severe and disturbs less of the magnetic field. There are less changes of peak to trough in a given distance as the frequency decreases and the wavelength gets longer; decreasing the overall space the wavelength is affecting.


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# SSR fires from nearby relay

I am using a SPF240D25R Solid State Relays - PCB Mount PCB SIP 240VAC, 25A load current and 4-15VDC trigger voltage. This is being triggered from a ULN2003A and used to drive a motor (pump).

On the same board I am driving a 5V coil relay which has 12VAC across its contacts with no load, this two is driven from another transistor with the same ULN2003A device.

When I fire the relay the SSR is firing. When I turn off the relay the SSR turns off. This ONLY happens when the load (motor) is connected to the SSR. For example, if I fire the relay and the measure the O/C load on the SSR it does not fire.

I cannot figure out the problem. I have a 100 ohm || 1uF capacitor snubber on the input to the SSR. I have a 1N4001 flywheel diode across the relay coil (even though the ULN2003 has them).

The main thing which is confusing is what does it not fire in error when no load is connected to it?

EDIT:

This is part of a large system and the schematics are over multiple pages. I have provided the various snippets below.

This is the SSR circuit. Please note that the SSR is a SPF240D25R (ignore the name on the schematics). Also note that the "pump relay" is not the offending relay. In fact when this relay is fired the same problem is NOT witnessed.

This is the lighting relay (recently added flywheel diode not shown)

• Maybe the problem lies in the PCB layout. – Andrew Morton Jul 8 '17 at 21:34
• @AndrewMorton - it may ... and I have lifted some pins to try and isolate the problem - but it persists. – tomdertech Jul 8 '17 at 21:40
• Schematic please – Voltage Spike Jul 8 '17 at 21:43
• @laptop2d - I have added 2 schematic snippets (not enough reputation points to do more) so here is the ULN2003 snippet - prntscr.com/ftb6j3 – tomdertech Jul 8 '17 at 22:10
• Do you have a minimum load on the SSR when you are measuring its "open circuit" behavior? Due to leakage current and SCR latchup, you won't get sensible behavior without some load. – Evan Jul 8 '17 at 22:28

SOLVED - it turns out that the GND (pin 8) was floating. So even though it triggered other SSR and relay fine, it suffered from this interference. It would have been easier to find had it not worked at all!


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Note this ‘number’ identiﬁes the ﬁle and must be unique so if you have more than one ﬁle open then you must specify a diﬀerent unit number for each ﬁle. headers ON sqlite>. 03 when I use the Convert/Save route to change the MPEG2 to Mp3, file being saved in a different folder and with a different name, I get stuck in a 'the output file already exists. auto_file_prompt=True (default): NAPALM will automatically add file prompt quiet to the device configuration before performing file operations, and un-configure it again afterwards. local fileData = {} -- Declare a table to use to hold data. INQUIRE statement USE INQUIRE statement to find out information about: file existence; file unit open status; various file attributes (is the file formatted, unformatted, etc. Send the document to a given destination: browser, file or string. Can I save anything from Terminal window 's output to a. How to save all the output of pyspark sql query into a text file or any file Can someone show me how to save the results to a text / csv file ( or any file please. close print ('Finished config backup') #CiscoConfigbackupNetmiko #CiscoPythonBackup #CiscoScheduleBackup. Using extended options of the INTO OUTFILE nomenclature, it is possible to create a comma separated value (CSV) which can be imported into a spreadsheet application such as OpenOffice or Excel or any other applciation which accepts data in CSV format. In a similar way, we can pass multiple commands to the router, and Netmiko will go into configuration mode, write those commands to the router, and exit config mode. Using this infomation. Output from the gadgets may be saved as an HTML document. copy() file_system = device_dict. 37030699Marsh MarigoldCaltha palustris4Mostly Sunny$6. PL/SQL File I/O The release 7. *)" and click on it. The RStudio IDE enables several helpful buttons when you save the file with the. Click Add field. You have to click it to save your notebook. Here you have the option to choose the location where the file with Zebra printer language will be created and to enter a name for the file. rtf file, Word will, by default, save it as an *. This filter takes a filename as input, and outputs the result to the console. txt containing the line Hello world2 , including the trailing "2" (CMD. savefig(path). Now, you can process a comma-separated 'input. PuTTY is one of the widely used SSH, telnet client to connect Linux Unix servers. And yes, when you create a snapshot, Kaggle reruns entire code again. Browse button and select an output folder where to put a converted PDF file. acdc format. Output: Writing to the file Enter your name: Ved Enter your age: 7 Reading from a file Ved 7. 160 1 BINO 2B ABO 21RUOERTS125 74 12 2012 1. // this process will open a save file dialog and give the option to choose. We get this done by passing the list to Netmiko’s send_config_set method. local fileData = {} -- Declare a table to use to hold data. Only plain values such as tables, strings and numbers are. And yes, when you create a snapshot, Kaggle reruns entire code again. ssh_autodetect import SSHDetect from netmiko. > > -----Original Message----- > From: redhat-list-bounces redhat com > [mailto:redhat-list-bounces redhat com] On Behalf Of Genti Hila > Sent: Monday, April 28, 2008 1:12 PM > To: redhat-list redhat com > Subject: sort "top" output and then save to file > > I am trying to save all the processes into a. This is exactly what load does when it has an output variable: it loads into one structure, where each field is one of the variables that were saved in the. TextOutputFormat is the default OutputFormat. XLS for the Input File and c:\output\Floral. Note where the file is saved on your computer. Have version X1 or prior? Click here for instructions. Restart files are also written to disk at the end of each GEOS-Chem simulation, and can be used to initialize the subsequent simulation stage. top tool has batch mode -b which enables you to save snapshot by redirecting output to a file, but iftop does not have such an option. This model applies whether the data is in a file or is provided by a kernel as rich cell output in a notebook or code console. With the ZebraDesigner driver selected, choose the Print to File option from the end of the list of drivers. How to log the output from an entire MySQL client session. If you do not select a format, R Markdown renders the file to its default format, which you can set in the output field of a. This did not happen when I first set up the printer and was able to print just by hitting "print. 'w') SAVE_FILE. close() #Copy and pastewill work. Output {button + drop-down list + textbox} Path to Output CUE file. The PdfDocument is the main class in PDFOne Java. The inventory file uses YAML and consists of two items—individual devices and groups of devices. This value is shown on the title of the save dialog prompt. Open, FileAccess. xml_tab saves Stata output directly into XML file that could be opened with Microsoft Excel or OpenOffice Calc. Edit, copy, rename, delete, or operate on your X–Y data. Click …and a Print to file screen will appear. Session logging is off by default. This output writes events to files on disk. With the Console. The program is relatively flexible and produces print-ready tables in Excel or Calc. Saving Command Output to A File. When you open the project, Minitab automatically saves a backup file of your project file (BAK). Append a file extension to the name of the file, to indicate the file format to be used: either TIFF (. Hit Apply and OK to print it. append (device_name) grep_options = [] grepx (my_files, pattern, grep_options) if cli_args. Refer to LOG in the µVision3 User's Guide. In some situations we can not dir…. can someone help me with this or is it possible to get the output of ip scan into a file? thanks in advance. Select STL (*. exe and press Ok. If you want to capture Ansible output in a log, you have three options: To save Ansible output in a single log on the control node, set the log_path configuration file setting. Save all the terminal output to a file This answer uses a little known command called script which saves all your shell's output to a text file until you type exit. Choose File > Export. Some comments about the course:. DC analysis results appear in output_file. output property to save as file. The issue that I am having is that the lines are long (1000+ chars) and the outputted lines are wrapping. Click on the little down arrow to show the available preset output profiles: Just select the desired output profile in the list and click the Download & Convert or Convert button to proceed. out Deleting blank lines. output stdout command needs to be used to output to the screen after you are finished. Specify the number of times that you want to run the Exec. Grepable Nmap Output. I would recommend all network engineers to learn and equip this module to automate day to day configuration tasks. Redirecting the output of sed command You can redirect the output of sed command to file as follows$ sed 's/Linux/UNIX(system v)/' demofile1 > file. If there are other sed commands, put the w last: sed 's/This/That/;w file'. In this case we've redirected the directory listing, which would normally go to your monitor, to a text file called DIRECTORY. Word can easily read *. F: save to a local file with the given name (may include a path). CheckEdit filter settings. Label: Reference / Field type: Number (integer). hostname username. Beyond this, we had to save the script output with a file format of script name, ServerName and environment. 740 1 GEP 2GABO15580 ABO 21SAOEYTS215 74 12 2012 2. networking). print output result from. I'll write a script where I get output in a text file. send_config_set(commands) output += net_connect. output stdout command needs to be used to output to the screen after you are finished. For the 1st model, I run the simulation, it saves output in the workspace. First, from the program you are trying to save from; select the "save as" option from the file menu. def read_channel(self): """Generic handler that will read all the data from an SSH or telnet channel. FileTransfer taken from open source projects. txt) Pickle file (. Output {button + drop-down list + textbox} Path to Output CUE file. e pick an app from store. exe client: Download PUTTY. txt would result in an empty file file. Welcome to Doom9's Forum, THE in-place to be for everyone interested in DVD conversion. Label: Reference / Field type: Number (integer). Restart files contain the initial conditions that are used to start a GEOS-Chem simulation. If you always want your script to save data to a text file rather than display it on screen, then you’re probably better off using the FileSystemObject and its file-writing capabilities. His idea was to be able to process compilation errors without depending on tools like grep / sed. Since it came in as an *. But if you're directing someone to run a lot of commands as I did here is it possible to save the output of all commands to a. text") function of FileSaver. I hope this helps you save a few minutes of your day or at least learn a bit about Python. The issue that I am having is that the lines are long (1000+ chars) and the outputted lines are wrapping. Save as PDF File. The BACKSPACE, ENDFILE, and REWIND statements are file positioning input/output statements. With the write statement one can write to standard output or to a file. Netmiko: Send Configurations with a Text File Подробнее. You can set the output into a variable with the following command line: FOR /F "tokens=*" %a in ('test. Go to File > Save As. Here are the examples of the python api netmiko. You can use the default output format, or you can specify the file format on each OUTPUT statement. How to save Simulink Output to variable file Learn more about simulink to file output save string name. In this practical course, learn how to automate networks using Netmiko. What could be wrong with it? No such device or directory, illegal characters in name, write-protected? Anything? If you want more answer from the folks who know more, you need to produce more documentation, like - cut and paste the syntax from the output, with the command in the syntax. Name\Desktop\Testbackup\Email Attachments. hide ('input_image_name. from netmiko import ConnectHandler from netmiko. Choose your needed output mode to save WLMP to WMV or MP4 (Note: MP4 output format is only available in Windows Live Movie Maker 2012 or higher). To save a plot to an image […]. To save to another directory, use the full pathname for the filename. Let’s assume we either learn these word embeddings in the model from scratch or we update those pre-trained ones which are fed in the first layer of the model. off() command to tell R that you are finished plotting; otherwise your graph will not show up. This makes it easy to capture the output in a file using -o option. json file, because it seems like your PHP server can't read the relative path :. import logging logging. Please check the write permissions in your directory. Then you need to create an output device in the SAP system via transaction SPAD with the following properties: a. Validate the output-specification of the job; for example, check that the output directory doesn't already exist. The file (or the folder containing the file) may be opened for exclusive use by another process, or it may have its read-only attribute set. e pick an app from store. save_config(). Enter ping –t 'ipaddress' > ping. Larger values produce larger files but better quality. 10', 'username': 'admin', 'password': 'admin', 'device_type': 'cisco_ios'. append (device_name) grep_options = [] grepx (my_files, pattern, grep_options) if cli_args. from netmiko import ConnectHandler from netmiko. You can change the name of the project and browse your project to different location too. Transient analysis measurement results are written to output_file. In the case of a browser, the PDF viewer may be used or a download may be forced. 3') x ( i), y ( i) ENDDO. The default logfile is gdb. tmp which is the complete. Non-binary files are known as text files, and some translations may occur due to formatting of some special characters (like newline and carriage return characters). log' in the current working directory. Click …and a Print to file screen will appear. set logging off. txt 2> output. Re: How to save multiple output(XML files) of Data Driven Testing(Test Harness) using SoapUI PRO. In EndNote, go to 'File Menu' and choose 'Save As'. Packet Size. The final part of displaying output is a hidden background call to an Output cmdlet, by default as the last part of the execution process PowerShell calls the default output cmdlet which is typically Out-Host. vwf)? Description You can manually save simulation outputs in the Quartus ® software by choosing Save Current Section As (Tools menu) or by choosing Save As (File menu). ps1 > testlog. def scp_file(net_device): # Make a copy of the dictionary since we modify it device_dict = net_device. Can is there a way to configure the print settings (i. To save the HTML page to PDF, click the “File” menu, and choose the “Save As” option from the drop-down sub-menu. ssh_exception import I want backup of multiple show command output to be saved to a file, like "show version" , "show ip BGP summary" , "show clock". In Windows XP the result is no text on screen and file. If the file. The terminal is used to run different types of Linux commands. Enter a file name (for example, GetData. Click on "Print to File. Click on 'File Menu' and choose 'Close Style'. Auto Start. On Chrome, you might be able to click ⋮ in the lower-right corner and then click Download. StreamWriter ( @"c:\\temp\\text. readLine() -- This function reads the next line in the file, until the end. sdf was not associated to any file type association like notepad etc. When you save a project, the file includes all the information about your work, including worksheets, output, history of your session, and dialog box settings. Finally closing the file using close() function. ex view the full answer. The most basic way to save is to save the raw HTML output from the rendered markdown as is. txt” using the > operator. dispName,"r") -- Open the file we used before, ready for reading. This value is shown on the title of the save dialog prompt. In Log file name, click the Browse button, then choose a directory path and file name such as C:\Users\MyAccount\packet_capture. txt) and run some show commands that will extract the output # to a file named "output2. You can use the tee command to output text from a command both to the screen and to a file. Query-->Results To-->Results To File. txt" dest_file = "my_file. You can rate examples to help us improve the quality of examples. File Extensions. For another (Pir HC-SR501 sensor) I have another code file. How can i save the output displayed image by using above code? 0 Comments. Currently, this output is used for testing, but it can be used as input for Logstash. Enable logging. save_config(). bat") echo message > example. Netmiko, the multi-vendor library to simplify Paramiko SSH connections to network devices, is now officially integrated into Salt. ipconfig /all | clip Get details of your network connection for sending to tech support. Out-File is similar to a PowerShell transcript where it writes everything directly to a text file. command 2> output. The files are not automatically removed after execution so you need to be aware of this from a security perspective. m' extension). local fileData = {} -- Declare a table to use to hold data. Normally it runs continuously with a delay of 2 sec. The file (or the folder containing the file) may be opened for exclusive use by another process, or it may have its read-only attribute set. This was very common in the days of punched cards, and is still sometimes used to save file space. The ECHO command sends all its output to Standard Output. And finally, call the saveAs(Blob object, "your-file-name. Ways to create a file with the echo command: echo. If you have older version OS (Windows 7, Vista etc. Learn more about output, loop, sequence. I am developing a UWP app. It is needed as most postscript-producing applications do not estimate the box size correctly, and the size is a must for figure inclusion to other documents, for example LaTeX. Let’s assume we either learn these word embeddings in the model from scratch or we update those pre-trained ones which are fed in the first layer of the model. I added the test script to my collection. Is a test failing only at a certain time of day? Run the >>> variant, with your computer clock set to various times, and send all the data to one summary file. But if you're directing someone to run a lot of commands as I did here is it possible to save the output of all commands to a. My script would login to the switch and create a list of interfaces and start inspecting each port looking for input packets and output packets. In the Explorer window, click Data Access, Content Manager. 5kb - and when trying to download it - it says can’t download en empty file. You will see similar screen to this: Select the spool desired, then click on the eyeglasses icon, Display Contents (F6). F: save to a local file with the given name (may include a path). I then define a network device dictionary consisting of a device_type, ip, username, and password. txt" using command prompt or POSIX shell such as SH/KSH/BASH? And if file file-lists. Tech support scams are an industry-wide issue where scammers trick you into paying for unnecessary technical support services. Save/export CMD output to a file Step 1. I'm trying to use a command line filter (to be exact, pas2dox to convert Pascal files to those understandable by Doxygen, but that's just a detaul, the issue is "global"). file_name = obtain_netmiko_filename (device_name) try: with open (file_name) as f: output = f. When this type of redirection is used, the output-file is erased before the first output is written to it. (b) From the Start menu or the Start screen and open Devices and Printers. You must use the dev. log, type as follows:. Note that the File output node has format and output path settings in the Properties region (N) which are separate from the scene settings. also say how view that file in browser screen. A file is a collection of data on a given subject, stored on a storage medium, usually a disk or CD. One can think of it as dumping the output of the echo command to “file1. ipfile=open("iplist. This playbook demonstrates how you can redirect shell output to a local file inventory. Be certain the Output File Type is what you want it to be, in our case, [21] Text (ASCII) Fixed Width (*. DC analysis results appear in output_file. ,it produces the page and i want to click on a link in this page and store the output/code on a file or in a database. Select a suitable destination folder and then click on “Save” to allow the program to save HTML to PDF. Read ); PdfLoadedDocument loadedDocument = new PdfLoadedDocument ( docStream ); //Disable the incremental update loadedDocument. A 24 hour Ping Test will create a file of around 4MB in size. Take a look at this line:. ) and save this setting as part of the pdf file? I would like the users of pdf files to be able to open the file and simply print, without having to manually configure the print settings. BaseConnection method), 8 send_command. Developed by Kirk Byers, Netmiko is an open source library designed to simplify SSH management across a wide range of network devices from various vendors including Cisco, Arista, and Juniper Networks. How to save the output of "split" command as series of. local line = file. Proc - Save the output to a file Every once in a while it would be nice to run a procedure and have the results stored in a table. In following tutorial about interaction with text files through Excel VBA, we have talked a lot about creating new text files, exporting data from an Excel Range to Text file and so many other different topics. From Save as type, select Exec (*. Let’s have a look at the command below: ls >> [filename]. The output of each cell is available as Out[#] or _# so if you wanted to save output of cell 14 and the output is a string you can write it like so: In [14]: str(uuid. from netmiko import ConnectHandler from netmiko. Are you thinking to search and query for google from terminal shell with bash script. To go to the next window, you can use either Ctrl-Tab or Ctrl-F6. While it leverages a Python C extension for low level cryptography (Cryptography), Paramiko itself is a pure Python interface around SSH networking concepts. Use a command to find all the lines that contain the string “John” in the applicants_final file. Use the STDOUT redirection operator > for redirecting the output to a file like this: command > file. If you want to log the output from more than one query -- either an entire MySQL client session, or part of a session -- it's easier to use the MySQL tee command to send output to both (a) your console and (b) a text file. Transient analysis measurement results are written to output_file. save_config extracted from open source projects. nextLine(); // get a file name from the user File file = new File( fileName ); // create a File object if ( file. Before you start posting please read the forum rules. Warning: This tool does not create a well-formed XML document, as it lacks a proper root element!. How are you executing the tests? Try with testrunner. bat") echo message > example. For that to work in tall syntax I suppose I need a vector containing the row numbers of the tall table. read crypto_steganography = CryptoSteganography ('My secret password key') # Save the encrypted file inside the image crypto_steganography. netmiko-grep uses an inventory format loosely based on Ansible's inventory (very loosely). Provide log file name using browse button (specify where to save logs on your system). My script would login to the switch and create a list of interfaces and start inspecting each port looking for input packets and output packets. Bring the exported output document into Word, edit it as desired, and then save it as a *. Right from the author of htop:. Other Output Methods. I hope somebody can help me. To open a Command Prompt window, press WinKey + R to launch the Run dialog. )Notice: Undefined index: HTTP_REFERER in /var/www/html/ilcalciastorie. Thanks! Re: how to auto save instrument output data to Excel with preset file path and names. Welcome to Doom9's Forum, THE in-place to be for everyone interested in DVD conversion. base_connection. I need if the user click download button then the dialog box open for a path where to save the file. That is why i need to save the output for the 1st model to a file. jpg') option to 'Run script' or 'save script as file'. txt 2> output. Read ); PdfLoadedDocument loadedDocument = new PdfLoadedDocument ( docStream ); //Disable the incremental update loadedDocument. At first the. Add the following fields: Label: Authors / Field type: Text (plain). Tip: There you can play and preview the WLMP file in Windows Live Movie Maker. As Microsoft Word already have native support for PDF output, finally, all you need to do is save the document to PDF. txt doesn’t exist, it will be created automatically. ConnectHandler(**device) if device['device_type'] == "juniper_junos" : print('**********SCAN JUNIPER. bat containing "message") echo message >> example. Tech support scams are an industry-wide issue where scammers trick you into paying for unnecessary technical support services. yml' first in your current directory and then in your home directory. inp file? Any other idea is also welcome. Send a list of processes to process. now, i add all to be export to mail. i am writing output to text file, but output is unaligned, please guide me how to arrange. base_connection. 2017 Offline July 7, 2018 11:42 a. Standard Output is the stream where all, well, standard output of commands is being sent to. OUTPUT [raster] Default: ‘[Save to temporary file]’. Once you have selected input PDF Portfolio it is going to appear in the input file list: Press. mp3', "rb") as f: message = f. If no extension is included in the filename, the image will save in TIFF format and. If you have not used Echo Off, the commands will be output as well. Export Your Data. ls scripts/ >> lsout. php on line 76; Call Stack. log', level=logging. Being able to save the model gives you a huge advantage and save the day. out And can see the output using cat command as follows \$ cat file. If the file already existed, the old content is destroyed. Output from the gadgets may be saved as an HTML document. output C:/Databases/Report_1. To save the file without exiting the editor, switch back to normal mode by pressing Esc, type :w and hit Enter. The latest answers for the question "Option to save output list to local file" In VT03N, when I goto System->List->Save->File, the option to save is greyed out. from tensorflow. Click in the "Output File" and enter the location and filename for the output. 5 saves in Analyze 7. txt The command above passes the contents of your system’s root directory as standard output, and writes the output to a file named rootdircontents. csv If you have any doubt, feel free to contact me at Twitter @gabrielpires or by e-mail eu at. append: logical. 254 Wrting data read from fd #3 to fd#4 To view data written to fd # 4 i. File for telemetry configuration will be used. How to run commands on multiple Cisco Network devices and save to csv using Python and Netmiko. Use a File Output node as mentioned by Matt: This will create a file /tmp/test. You will see similar screen to this: Select the spool desired, then click on the eyeglasses icon, Display Contents (F6). Very simple example: from netmiko import Sorry, we're still checking this file's contents to make sure it's safe to download.


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# Additional GitLab Metrics using pg_exporter

Contents

GitLab makes a great deal of information available through Prometheus metrics. But not everything.

sql_exporter

Since writing this article, it has come to my attention that there are two more generic “sql_exporter” options. This is less important with GitLab, as you’re basically going to be running Pg, but these are the generic SQL exporter we’re turning postgres_exporter into, below.

The other day I was looking for how many CI jobs and pipelines had been created, total. I figured that would be somewhere in the collection of existing metrics, but the closest I could find was a metric that gave the totals relative to the last time the exporter was restarted.

I use a couple GitLab-specific exporters in this environment already, and thought about creating another one to handle this. As it turns out, this information isn’t exposed through the API, either. It looked like the only way to get this information was to query the database directly.

## --extend.query-path

While poking around, I noticed that postgres_exporter has an interesting flag, --extend.query-path.

--extend.query-path
Path to a YAML file containing custom queries to run. Check out queries.yaml for examples of the format.

I did as suggested and checked out the queries.yml. Turns out it’s surprisingly easy to create new metrics out of database queries, e.g.:

  1 2 3 4 5 6 7 8 9 10 11 12 13  ci_builds: query: "SELECT MAX(id) as total from ci_builds" metrics: - total: usage: "COUNTER" description: "Total builds created" ci_pipelines: query: "SELECT MAX(id) as total from ci_pipelines" metrics: - total: usage: "COUNTER" description: "Total pipelines created"

The above causes two additional metrics to be generated by the exporter: ci_builds_total and ci_pipelines_total. Neat. To get the information I want, all I need to do is ask postgres_exporter nicely for it.

## Configuring the exporter

The GitLab Omnibus package sets up a number of exporters, including postgres_exporter with --extend.query-path already set. However, messing around with a configuration file the omnibus package is responsible for did not sound like fun, and neither did I want to cause the same Pg metrics to be exported twice. Examining the exporter’s flags again, I see two that may help.

postgresql_exporter documentation
• disable-default-metrics Use only metrics supplied from queries.yaml via --extend.query-path.
• disable-settings-metrics Use the flag if you don’t want to scrape pg_settings.

Looking at those two flags, it appears that I should be able to disable the “standard” metrics and only run the ones I provide in the query file.

## Running the exporter

To me, it seems easiest to run our custom postgresql_exporter in parallel with the GitLab supplied one. Running it in a container also allows us to ensure it keeps running (--restart) and runs as the correct user/group for access.

You get to keep both parts
This involves configuring a tool for direct access to your GitLab instance’s database. While the postgres_exporter is a widely-used and reliable tool, if you break your server you get to keep both parts.

A small scriptie to start the exporter, disable standard metrics, and run ours is below. Note that it also ensures it is run as the correct user/group for database access, and the Pg socket + configuration is bind-mounted inside the container for access.

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16  PG_USER="${PG_USER:-gitlab-psql}" PG_UID="$(id -u $PG_USER)" PG_GID="$(id -g $PG_USER)" docker run -d \ --name gitlab-custom-metrics \ --restart unless-stopped \ --user$PG_UID:$PG_GID \ --publish 19187:9187 \ -v /var/opt/gitlab/postgresql:/var/opt/gitlab/postgresql \ -v pwd/queries.yml:/queries.yml:ro \ -e DATA_SOURCE_NAME="user=$PG_USER host=/var/opt/gitlab/postgresql database=gitlabhq_production" \ wrouesnel/postgres_exporter \ --disable-default-metrics \ --disable-settings-metrics \ --extend.query-path /queries.yml

With that, the metrics exporter is exposed and ready to be scraped at localhost:19187/metrics.

 1 2 3 4 5 6  # HELP ci_builds_total Total builds created # TYPE ci_builds_total counter ci_builds_total{server="/var/opt/gitlab/postgresql:5432"} 437695 # HELP ci_pipelines_total Total pipelines created # TYPE ci_pipelines_total counter ci_pipelines_total{server="/var/opt/gitlab/postgresql:5432"} 67665

## Conclusion

With this in place, we can collect and display or alert on these custom metrics. And, of course, everyone loves a good dashboard graph:

This might seem like a lot for two small metrics, but compared to writing a custom exporter it’s nothing. If you’re like me, you’ll also discover your queries.yml will quickly grow with additional metrics definitions.


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# Proving a subset is closed under a binary operation on a set

Suppose that $*$ is an associative and commutative binary operation on a set $S$. Let $H=\{a\in S\mid a*a=a\}$. Show that $H$ is closed under $*$.

I started this problem by listing the definitions of * being commutative and associate. So I let $a,b\in H$. I now need to show that $a*b$ is in $H$. So I said $a*b=(a*a)*(b*b)$ because of what it means to be a member of $H$. I'm not sure where to go from there or how to prove it is associative. Any help?

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You want to prove that $(ab)(ab)=ab$. This is because $H$ consists of the objects $x$ that satisfy the equation $x^2=x$. You want to show that if $a$ and $b$ satisfy that equation, so does $ab$. First use associativity. –  André Nicolas Feb 7 '12 at 17:59
as you stated you should prove that ab in H if a and b in H. ab in H means that (ab)*(ab)=(a*b). can you prove this? –  miracle173 Feb 7 '12 at 18:02

You don't need to prove $*$ is associative; you already know it is.

The only thing you need to show is that if $a$ is in $H$ and $b$ is in $H$, then $a*b$ is in $H$.

When is an object $x$ in $H$? $x$ is in $H$ if and only if $x$ is in $S$, and $x*x=x$.

So in order to show that $a*b$ is in $H$, you need to show that:

• $a*b$ is in $S$; and
• $(a*b)*(a*b) = a*b$.

Why is $a*b\in S$? Because $a\in S$, $b\in S$, and $*$ is a binary operation in $S$. Remember that a binary operation is a function of type $*:S\times S \to S$, so $a*b$ maps to some element of $S$.

Why is $(a*b)*(a*b)=(a*b)$? Well, we know $a\in H$, so we know $a*a = a$; we know $b\in H$, so we know $b*b=b$. Now use the fact that $*$ is associative and commutative to show that $(a*b)*(a*b)=a*b$, and this will show that if $a\in H$ and $b\in H$, then $a*b\in H$. That is what you need to show in order to show that $H$ is closed under $*$.

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Okay, how does this look: (a∗b) = a∗(b∗b) = (a∗b)∗b = (b∗a)∗b = [b∗(a∗a)]∗b = b∗[(a∗a)∗b] = b∗[a∗(a∗b)] = (b∗a)∗(a∗b) = (a∗b)∗(a∗b) –  user23793 Feb 7 '12 at 18:12
@user23793: Fine, though it seems like it would be simpler to do $(a*b)*(a*b) = (a*b)*(b*a) = a*((b*b)*a) = a*(b*a) = a*(a*b) = (a*a)*b = a*b$ –  Arturo Magidin Feb 7 '12 at 18:16


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# # Linear algebra (numpy.linalg)

The NumPy linear algebra functions rely on BLAS and LAPACK to provide efficient low level implementations of standard linear algebra algorithms. Those libraries may be provided by NumPy itself using C versions of a subset of their reference implementations but, when possible, highly optimized libraries that take advantage of specialized processor functionality are preferred. Examples of such libraries are OpenBLAS, MKL (TM), and ATLAS. Because those libraries are multithreaded and processor dependent, environmental variables and external packages such as threadpoolctl may be needed to control the number of threads or specify the processor architecture.

## # Matrix and vector products

method description
dot(a, b[, out]) Dot product of two arrays.
linalg.multi_dot(arrays) Compute the dot product of two or more arrays in a single function call, while automatically selecting the fastest evaluation order.
vdot(a, b) Return the dot product of two vectors.
inner(a, b) Inner product of two arrays.
outer(a, b[, out]) Compute the outer product of two vectors.
matmul(x1, x2, /[, out, casting, order, …]) Matrix product of two arrays.
tensordot(a, b[, axes]) Compute tensor dot product along specified axes.
einsum(subscripts, *operands[, out, dtype, …]) Evaluates the Einstein summation convention on the operands.
einsum_path(subscripts, *operands[, optimize]) Evaluates the lowest cost contraction order for an einsum expression by considering the creation of intermediate arrays.
linalg.matrix_power(a, n) Raise a square matrix to the (integer) power n.
kron(a, b) Kronecker product of two arrays.

## # Decompositions

method description
linalg.cholesky(a) Cholesky decomposition.
linalg.qr(a[, mode]) Compute the qr factorization of a matrix.
linalg.svd(a[, full_matrices, compute_uv, …]) Singular Value Decomposition.

## # Matrix eigenvalues

method description
linalg.eig(a) Compute the eigenvalues and right eigenvectors of a square array.
linalg.eigh(a[, UPLO]) Return the eigenvalues and eigenvectors of a complex Hermitian (conjugate symmetric) or a real symmetric matrix.
linalg.eigvals(a) Compute the eigenvalues of a general matrix.
linalg.eigvalsh(a[, UPLO]) Compute the eigenvalues of a complex Hermitian or real symmetric matrix.

## # Norms and other numbers

method description
linalg.norm(x[, ord, axis, keepdims]) Matrix or vector norm.
linalg.cond(x[, p]) Compute the condition number of a matrix.
linalg.det(a) Compute the determinant of an array.
linalg.matrix_rank(M[, tol, hermitian]) Return matrix rank of array using SVD method
linalg.slogdet(a) Compute the sign and (natural) logarithm of the determinant of an array.
trace(a[, offset, axis1, axis2, dtype, out]) Return the sum along diagonals of the array.

## # Solving equations and inverting matrices

method description
linalg.solve(a, b) Solve a linear matrix equation, or system of linear scalar equations.
linalg.tensorsolve(a, b[, axes]) Solve the tensor equation a x = b for x.
linalg.lstsq(a, b[, rcond]) Return the least-squares solution to a linear matrix equation.
linalg.inv(a) Compute the (multiplicative) inverse of a matrix.
linalg.pinv(a[, rcond, hermitian]) Compute the (Moore-Penrose) pseudo-inverse of a matrix.
linalg.tensorinv(a[, ind]) Compute the ‘inverse’ of an N-dimensional array.

## # Exceptions

method description
linalg.LinAlgError Generic Python-exception-derived object raised by linalg functions.

## # Linear algebra on several matrices at once

New in version 1.8.0.

Several of the linear algebra routines listed above are able to compute results for several matrices at once, if they are stacked into the same array.

This is indicated in the documentation via input parameter specifications such as a : (..., M, M) array_like. This means that if for instance given an input array a.shape == (N, M, M), it is interpreted as a “stack” of N matrices, each of size M-by-M. Similar specification applies to return values, for instance the determinant has det : (...) and will in this case return an array of shape det(a).shape == (N,). This generalizes to linear algebra operations on higher-dimensional arrays: the last 1 or 2 dimensions of a multidimensional array are interpreted as vectors or matrices, as appropriate for each operation.

Last Updated: 9/22/2019, 7:44:42 PM