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# Abstract Nonsense
## Function Theorem
Point of post: In this post we prove a fundamental theorem in the study of finite permutation groups. Namely, that for a function $f:\{1,\cdots,n\}\to\{1,\cdots,n\}$ the concepts of bijection, surjection, and injection are equivalent.
Remark: As always denote $\{1,\cdots,n\}$ ... | {} |
11_usage.tex 1.62 KB
Tobias Weinzierl committed Jun 10, 2020 1 2 \chapter{Using \teaMPI} Philipp Samfaß committed Oct 30, 2020 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 Using \teaMPI is as simple as linking \teaMPI to the applicatio... | {} |
# Extensions of Bertrand's Postulate
Two questions came to mind when I was reading the proof for Bertrand's Postulate (there's always a prime between $n$ and $2n$):
(1) Can we change the proof somehow to show that: $\forall x > x_{0}$, there exists a prime $p$ $\in [x, ax]$, for some $a \in (1, 2)$?
(2) Suppose the ... | {} |
# Defining sine and cosine
We know the following are true about sine and cosine (and that they can be proven geometrically):
• $\sin(a+b)=\sin(a)\cos(b)+\sin(b)\cos(a)$
• $\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b)$
• $\lim\limits_{x\to0}\dfrac{\sin x}x=1$
• $\lim\limits_{x\to0}\dfrac{\cos x-1}x=0$
• They are continuous... | {} |
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## G = C4×S3×D9order 432 = 24·33
### Direct product of C4, S3 and D9
Series: Derived Chief Lower central Upper central
Derived series C1 — C3×C9 — C4×S3×D9
Chief series C1 — C3 — C32 — C3×C9 — C3×C18 — S3×C18 — C2×S3×D9 — C4×S3×D9
Lower central C3×C9 — C4×S3×D9
Upper central C1 — C4
Generat... | {} |
# Bug Tracker
ID: 9 🔗 Closed (Fixed) datatool 2.11 2012-12-09 08:24:14 Spurious spaces in \DTLloaddb
## Report
\DTLloaddb is producing unwanted spaces.
### MWE
\documentclass{article}
\usepackage{datatool}
\begin{filecontents*}{test.csv}
Data1,Data2
\end{filecontents*}
\begin{document}
\end{document}
## Eva... | {} |
# Rhenium Tungsten Material
### Tungsten and Rhenium - Comparison - Properties -
2022-1-4 This article contains comparison of key thermal and atomic properties of tungsten and rhenium, two comparable chemical elements from the periodic table. It also contains basic descriptions and applications of both elements. Tun... | {} |
# American Institute of Mathematical Sciences
December 2015, 7(4): 483-515. doi: 10.3934/jgm.2015.7.483
## Canonoid and Poissonoid transformations, symmetries and biHamiltonian structures
1 Dipartimento di Matematica, Università di Torino, Torino, via Carlo Alberto 10, Italy 2 Department of Mathematics, Wilfrid La... | {} |
# MT2_Practice.pdf - MATH 232[2 1 1(a A triangle has vertices...
• 11
This preview shows page 1 - 5 out of 11 pages.
MATH 232 1 [2] 1. (a) A triangle has vertices P 0 , P 1 and P 2 . What formula gives the area of the triangle? [2] (b) How can we determine if three vectors in R 3 lie in a plane? [4] (c) Find all uni... | {} |
## Basic College Mathematics (9th Edition)
Use the unit fraction $\frac{1 pint }{2 cups}$ to change pint to cups and the unit fraction $\frac{1 quart}{2 pint}$ to change pint to quart. Notice how all the units divide out except quarts, which is the unit you want in the answer. 112 c * $\frac{1 pint }{2 cups}$ * $\frac... | {} |
## Thursday, August 25, 2011
### A reply to a comment on a post of Fr. D. Longenecker
cc. to Fr. Dwight.
Dear Steve,
I'm writing here, because it turned into what I think is a "blog post", not a comment, and the good Father has (iirc) requested generally that we blog these things rather than stand in his sitting ro... | {} |
# CS: Source GlassFloor_jkl Map
GlassFloor_jkl is a map with little floating glass platforms the are easily breakable, have fun! :)
File Description
GlassFloor_jkl is a map with little floating glass platforms the are easily breakable, have fun! :)
Screenshots
```glassfloor_jkl by Mr_jackle
installation:
unzip th... | {} |
# Why is the solstice the first day of summer, and not the central day?
Summer in the Northern Hemisphere starts on the day of the summer solstice. This is the day that the Northern Hemisphere receives more light from the Sun, due to the Earth's tilt. To my knowledge, the amount of light we receive is related to the t... | {} |
# Measurement in QM - positivity criterion
Let me describe my understanding of measurements in quantum mechanics before getting to the part that I'm unclear about.
If we have a quantum state $$\rho$$ and we do a projective measurement in some basis, then our measurement can be described in the following way. We have ... | {} |
# Handle Decomposition
Today I’ll just prove that a Morse function will give a handle decomposition of a closed manifold. Let’s use all the notation already set up (meaning critical points, values, attaching maps, dimension, Morse function, gradient-like vector field, etc).
We just induct on the subscripts of critica... | {} |
# Seeking help on vector calculus
Dear all
I'm a newbie here...having some prob and hope to have your expert advice on how to solve the equation attached.
#### Attachments
• equ6-27-2006-3.47.09 PM.jpg
4.9 KB · Views: 348
Do you want a general solution, or have you been given, eg., m=(m1,m2,m3), r=(r1,r2,r3), or h... | {} |
# Face Recognition for the Happy House
Welcome to the first assignment of week 4! Here you will build a face recognition system. Many of the ideas presented here are from FaceNet. In lecture, we also talked about DeepFace.
Face recognition problems commonly fall into two categories:
• Face Verification - "is this th... | {} |
### Measuring Reaction Time
Use the formula (b) The time to fall is $y=-gt^{2}/2,$ but only keep the absolute value. Then:
$y_{50} = \frac{1}{2}(9.8\frac{m}{s^{2}})(0.05s)^{2}=1.2cm$
$y_{100} = \frac{1}{2}(9.8\frac{m}{s^{2}})(0.10s)^{2}=4.9cm$
$y_{150} = \frac{1}{2}(9.8\frac{m}{s^{2}})(0.15s)^{2}=11cm$
$y_{200} = \fra... | {} |
# NEET Questions Solved
NEET - 2017
The de-Brogile wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is
(a)$\frac{h}{\sqrt{mkT}}$
(b)$\frac{h}{\sqrt{3mkT}}$
(c)
(d)$\frac{2h}{\sqrt{mkT}}$
(b) Thinking Processs de-Brogile wavelength associated with a moving pa... | {} |
# Chapter 13 Measures of Association
In this chapter, we examine multiple ways to measure the strength of relationships between two variables in a contingency table. This material forms a basis for the remaining chapters, all of which focus on different methods for assessing the strength and direction of relationships... | {} |
# FeaturedChallenge Thermochemistry Challenge Problem - Chet's Paradox
Tags:
1. May 4, 2017
### Staff: Mentor
I have a reversible chemical reaction described by the balanced equation: $aA+bB=cC+dD$. I devise a reversible process to take a closed system containing these species (and its surroundings) from thermodynam... | {} |
Length of a Shadow Cast on a Sphere
I'm doing a project for a classical mechanics class about shadows cast on a sphere. Though the topic is physics-ish, the derivation is entirely math and geometry. Below is my derivation, but I'd appreciate a second pair of eyes to check it over. I've yet to really define the constra... | {} |
Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Special Cases - Mixed Review - Page 497: 67
Percentage increase of 25%
Work Step by Step
Calculate the percentage: $\frac{15}{12}\times100=125$ Percent change: 100-125=-25 Percentage increase of 25%
After you claim an answer you’ll have 24 hours to send in a d... | {} |
# Rydberg Atoms/Quantum Defect Theory
## Contents
#### The Hydrogen Atom
Rydberg atoms are excited states of atoms with a large principle quantum number, where the Rydberg electron is only weakly bound to the ionic core. This weak binding makes Rydberg atoms very sensitive to external perturbations and results in a ... | {} |
1. ## Power Series #2
This is the last of the set of real analysis questions. Any help would be greatly appreciated:
A series $\sum_{n=0}^{\infty}{{a_n}}$ is said to be Abel-summable to L if the power series
f(x) = $\sum_{n=0}^{\infty}$ a_n*x^n converges for all x Є [0,1) and L = lim f(x) as x approaches 1 from the n... | {} |
25 Mar 2023
How Many Ounces In 2 Liters – Definition, Types, and More
Ounces In 2 liters are equal to 67.628 fluid ounces. We are using fluid ounces to replace ounces because an ounce is a unit of weight, whereas liters is a unit of volume. On the other hand, a fluid ounce is a unit of volume, so the conversion makes... | {} |
# lassipau/rorpack
The Robust Output Regulation Package Python Library
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Introduction to RORPack
docs
examples
rorpack
.gitignore
_config.yml
setup.cfg
setup.py
#... | {} |
Letter | Open | Published:
# Direct current remote cloak for arbitrary objects
## Abstract
Hiding an arbitrary object with a cloak at a distance from an object is of great significance in scientific research, but remains unrealized as a practical device. In this paper, we propose the first experimental realization o... | {} |
You are currently browsing the tag archive for the ‘zero-divisors’ tag.
I’ve previously written about Fermat’s Little Theorem, which tells us that if $latex p$ is a prime and $latex a$ is not divisible by $latex p$, then $latex a^{p-1} \equiv 1 \pmod{p}$. That’s not terribly exciting when $latex p = 2$, so let’s conc... | {} |
Tag Info
How to calculate the entropy in the ID3 decision tree algorithm?
Suppose you have data: ...
• 1,345
1 vote
Accepted
What is the relationship between entropy in thermodynamics and entropy in information theory?
here are the link to the similar question: Is information entropy the same as thermodynamic entro... | {} |
# Recent questions tagged probability
Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
There are 6 pillows in a bed, 3 are red, 2 are yellow and 1 is blue. What is the probability of picking a yellow pillow?
There are 6 pillows in a bed, 3 are red, 2... | {} |
An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27°C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17°C. Estimate the mass of oxygen taken out of the cylinder ($$R = 8.31 J mol^{-1} K^{-1}$$, molecul... | {} |
# Potential inside an non conducting sphere given the potential on the sphere.
Given the equation for the potential "on" a non conducting sphere how can the potential and electric field inside the sphere be calculated?
If there is a potential on the sphere am I to assume that there must therefore be a charge build up ... | {} |
# Rh/Fragment 140 14
## < Rh
31.268Seiten in
diesem Wiki
### Wikia ist eine gebührenfreie Seite, die sich durch Werbung finanziert. Benutzer, die Adblocker einsetzen, haben eine modifizierte Ansicht der Seite. Wikia ist nicht verfügbar, wenn du weitere Modifikationen in dem Adblocker-Programm gemacht hast. Wenn du s... | {} |
# Homotopy limit over a diagram of nullhomotopic maps
Let $$I$$ be a $$\mathrm{Top}_*$$-enriched poset and $$X: I \to \mathrm{Top}_*$$, and consider the homotopy limit $$\underset{i \in I}{\mathrm{holim}}X(i),$$ where the maps $$X(i) \to X(j)$$ are nullhomotopic for $$i \leq j$$ and $$X(i) \to X(j)$$ a weak homotopy e... | {} |
# Commutativity of Differential Operators in Lagrangian Mechanics
1. Feb 1, 2010
### campo133
Hello.
I am having trouble realizing the following relation holds in Lagrangian Mechanics. It is used frequently in the derivation of the Euler-Lagrange equation but it is never elaborated on fully. I have looked at Goldst... | {} |
• Subject: Re: [ANNOUNCE]: LuaSocket 2.0.2
• From: "Evan DeMond" <evan.demond@...>
• Date: Mon, 15 Oct 2007 13:55:02 -0400
On 10/15/07, Evan DeMond <evan.demond@gmail.com> wrote:
>> 2) The Manual lists where the files should be installed, including:
>> <CDIR>/socket/core.dll
>> <CDIR>/mime/core.dll
>> But my bu... | {} |
I have solved these both problem and as you know, to write here the latex code of them would take some time. So, would you please be kind enough to compute on your own, or use any computation math tool to do so (I don't know any, except for maxima, and don't know how to compute double integrals there) and check if they... | {} |
# The Chairman Pointed Out in Favour of the Manager that the Profitability of the Industrial Plant Had _____ since He Took Over the Administration. - English Language
MCQ
Fill in the blank by choosing the most appropriate option.
The chairman pointed out in favour of the manager that the profitability of the industr... | {} |
# Physics: Angular Solution of Hydrogen Atom
##### This Physics: Angular Solution of Hydrogen Atom lesson plan also includes:
Students discover the angular solution of hydrogen activity. Depending on the undergraduate course, this activity can illustrate eigenvalue problems, to introduce Shrodinger's equation and par... | {} |
# What is the difference between pH and pKa?
Is there any difference between the two, when talking of an acid? I am a bit confused. Please help me out.
• – jerepierre Jun 19 '16 at 22:24
$\mathrm{p}K_\mathrm{a}$ is the intrinsic property of an acid. It does not depend on how much acid there is in a solution. For exa... | {} |
## Journal of the Mathematical Society of Japan
### On polynomial mappings from the plane to the plane
#### Abstract
Let $f:{\mathbb R}^2\longrightarrow {\mathbb R}^2$ be a generic polynomial mapping. There are constructed quadratic forms whose signatures determine the number of positive and negative cusps of $f$.
... | {} |
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# Which of the following statements regarding the structure aluminium chloride is correct ?
$\begin {array} {1 1} (A)\;\text{All the bond angles$Cl - Al - Cl$and$ Al - Cl - Al $in$Al_2Cl_3$are identical} \\ (B)\;\text{All the bond lengths$Cl - Al $in$Al_2Cl_3$are identical} \\ (C)\;\text{All the bond... | {} |
# SOLUTION: Hi, I have a multiple choice question and i'm stuck between the two answers. I have ln (x\square root of yz) = either lnx - 1\2 (ln y - ln z) or ln x - 1\2 (ln y + ln z).
Algebra -> Algebra -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I have a multiple choice question and i'm stuck b... | {} |
# What is the distance between (-8,8,-1) and (3,1,2)?
Nov 7, 2016
The distance is $\sqrt{179}$
If you have two points $\left({x}_{1} , {y}_{1} , {z}_{1}\right)$ and $\left({x}_{2} , {y}_{2} , {z}_{2}\right)$
The distance is $= \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{1} - {y}_{2}\right)}^{2} + {\left(... | {} |
# JEE-Advanced 2015 (3/40)
What is the minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96?
× | {} |
# Quasi-unipotent monodromy for general families
This must be a naive question, but I'm wondering about the definition of the quasi-unipotent monodromy for general (not only 1-parameter families). The problem is that usually in the books of algebraic geometry quasi-unipotent monodromy is only discussed over a disc $\D... | {} |
Forming an orthonormal vector when you already have two perpendicular vectors
So I understand the requirements for an orthonormal basis and everything around it. However, there's one thing I am missing:
Suppose you have two vectors which are orthonormal $u_1$ and $u_2$. According to the answerbook the multiplication ... | {} |
# Iterated function
Algebra Level 4
If $$f(x) = 1-x$$ find the absolute value of $$f^{21}(5)$$ where $$f^{21}$$ denotes f composed with itself 21 times.
× | {} |
## happenings — latex
Edits: Feb 2.
removed “a” from codes for bold and strong in HTML; and I just noticed that the LateX for color and for size does not display when you hold the mouse over it.
(This wasn’t the first post I intended to put out after the long layoff, but it’s the one that is ready, so here it is. I’v... | {} |
# What is the equivalence relation given the equivalence classes?
Let $X$ be a set and $A \subset X$ a subset. What equivalence relation on $X$ would give rise to the equivalence classes $A$ and $\{x\}$ for $x \in X \setminus A$. I'm unsure how to formulate the equivalence relation $x \sim y$ if ...
-
$x=y$, or, $x$... | {} |
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
I was looking for some data set which has some bias in terms of temporal data. I thought of checking out the data from iNaturalist project IndianMoths. This project is aimed at documenting moths from India. This project was ... | {} |
# Understanding FFT bin resolution
For a signal sampled at $f_s$, the frequency resolution (or "bin width") for an $N$ point FFT is $f_s/N$. Does this mean that the $k$th bin will contain energy from sinusoids within $0.5f_s/N$ on either side of the center frequency of that bin (ignoring spectral leakage for now)? Is ... | {} |
# Formula for Compound Interest
pdunn
Hello, I wanted to know is there a formula for compound interest when making additional payments. i.e. I make payments of $500 ever year for 5 years and NOT just$2500 once for the 5 year term.
The current way I am calculating the result is using Compound Interest of initial payme... | {} |
# Floor function
The floor of a real number $x$ is the largest integer which is not larger than $x$.
The notation $\lfloor x \rfloor$ is used for this function. For example, $\lfloor 2.1 \rfloor = 2$, $\lfloor 3 \rfloor = 3$ and $\lfloor -4.6 \rfloor = -5$. | {} |
### Home > MC2 > Chapter 3 > Lesson 3.2.4 > Problem3-103
3-103.
Manuel used Pattern Blocks to build the shapes below. The block marked "A" is a square, "B" is a trapezoid, "C" is a rhombus (a parallelogram with equal sides) and "D" is a triangle. Find the area of Manuel's shapes.
Examine each complex shape in terms ... | {} |
# Recursive Monte Carlo code for transversely polarized quark jet
Abstract : We propose a Monte Carlo code for the simulation of the fragmentation process of polarized quarks into pseudoscalar mesons. Such process is generated recursively once the flavour, the energy and the spin density matrix of the initial quark ar... | {} |
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# Functional equations are weird
Home Forums Math Olympiad, I.S.I., C.M.I. Entrance Number Theory Functional equations are weird
Viewing 3 posts - 1 through 3 (of 3 total)
• Author
Posts
• #29158
Agamdeep Singh
Participant
Is the following method correct?
I mean is it enough to imply that f(n)=N
Do we... | {} |
# Jähne test pattern
Earlier this week I posted a summary of posts from the beginning of this blog, including my January 13, 2006 post on generating test images. Today I want to revisit one of the examples from that old post.
In my 2006 post I showed this test image, consisting of concentric rings with increasing fre... | {} |
# showing any controllable system can be put in 'controller' form.
I am looking at the proof of the following theorem: Let $\dot{x} =Ax + Bu$ be a controllable single input system, where $\Delta_A:= \det(\lambda I -A) = \lambda^n + a_1\lambda^{n-1} + \ldots + a_{n-1}\lambda + a_n$. Show this system is isomorphic to th... | {} |
# Circumference
## What is the circumference?
The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle’s circumference.
In geometry, the circumference is the perimeter of a circle or ellip... | {} |
## blackstreet23 one year ago Picture Problem using Simpson's Rule Using Simpsons Rule (n = 8) , approximate an integral
1. blackstreet23
Where can I post pictures ?
2. blackstreet23
3. nincompoop
4. SolomonZelman
$$\large\color{black}{ \displaystyle {\rm Simpson's~Rule} \\[0.9em] {\rm Area~~of~f~~over~~[1,3]~~wit... | {} |
# When water undergoes electrolysis where in the beaker does the water molecule break apart?
When I was thinking about it I remembered reading two things, one was that certain gases "form" on certain electrodes. The other was something like, such and such ion "travels" towards such and such electrode. Does the molecul... | {} |
# Rust in a coding competition (Part 3) - Filling in the gaps
Python, Haskell, C, or Rust? Which do you like best to solve this task?
This is the third post in a series. Follow the link to start reading part 1 first, where you can also find the problem statement and the first part of the solution.
Okay, we are still... | {} |
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## RE: First page completed; tweaking questions
From: James Lowe Subject: RE: First page completed; tweaking questions Date: Sun, 10 Apr 2011 15:40:32 +0000
Hello,
________________________________
Fro... | {} |
## Results (25 matches)
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim $\epsilon$ $r$ First zero Origin
2-97461-1.1-c1-0-0 $27.8$ $778.$ $2$ $3^{2} \cdot 7^{2} \cdot 13 \cdot 17$ 1.1 $$1.0 1 1 0 0.294672 Elliptic curve 97461.f 2-97461-1.1-c1-0-1 27.8 778. 2 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 1.1$$ $1.0$ $1$ $... | {} |
MATLAB Examples
# Cubic polynomial differintegral
Differintegral of a cubic polynomial using Fourier series representation
## Notation and references
The notation followed here and in the following MATLAB codes:
• fourier_diffint.m
• fourier.m
does not conform to a specific reference, but it is explained into the... | {} |
# Statistics
So I don’t lose it, here it is again. In this guy’s communications class 10 or so years ago (don’t remember if it was Comm 1 or Comm 2), one of our homework problems was, essentially, to find a formula to calculate the probability of rolling a total $$\LARGE{t}$$ on $$\LARGE{n}$$ $$\LARGE{s}$$-sided dice.... | {} |
# Problem: properties of Fourier Transforms in Quantum Mechanics
## Homework Statement
I am trying to derive a property of the Fourier Transform of the wave function.
$$F[\psi(cx)]=\frac{1}{|c|}\overline{\psi}\left(\frac{p}{c}\right)$$
## Homework Equations
The Fourier transform of $$\overline{\psi}(p)$$ is defined... | {} |
Math Help - Primitive Roots
1. Primitive Roots
I have this problem here, and I can't seem to figure out how to do it.
"Suppose that a (mod p) is a primitive root modulo an odd prime p. If p=3(mod4) is prime, then show that -a(mod p) is never a primitive root modulo p."
Is the proper way to go about this by somehow ... | {} |
# Galois Theory by Ian Nicholas Stewart
By Ian Nicholas Stewart
Since 1973, Galois Theory has been instructing undergraduate scholars on Galois teams and classical Galois idea. In Galois thought, Fourth Edition, mathematician and well known technological know-how writer Ian Stewart updates this well-established textb... | {} |
# Calibration
Camera Calibration is a somewhat vague term that can mean different things in different contexts. This document describes geometric camera calibration, which means finding the information necessary to map pixel coordinates to coordinates in the camera's reference frame, modeling the effect of the lens. I... | {} |
# Aligning tikz picture within text
I want to align my tikz within a text.
A sample can be seen at the second picture in the following link: Image courtesy from http://www.echoecho.com/htmlimages08.htm
This is my trial:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[margin=6.0em]{geometry}
\usepack... | {} |
# Boolean-expression simplification $F = AB'C + (A'B' + ABC'D)'$
Here are my solutions. Hence: I am stuck on where or what path I am going to take
Problem: F = AB'C + (A'B' + ABC'D)'
Solution 1 ---------------
F = AB'C + (A'B' + ABC'D)'
= AB'C + (A'B')' (ABC'D)'
= AB'C + (A + B) (A' + B' + C + D')
= STUUUUCCKKK!!! -e... | {} |
# One-shot DP Top-k mechanisms
In the last blog post, we showed that the exponential mechanism enjoys improved composition bounds over general pure DP mechanisms due to a property called bounded range. For this post, we will present another useful, and somewhat surprising, property of the exponential mechanism in its ... | {} |
# Arduino - Using NPN transistor as a switch to pull-up/down analog pin
Let me start by saying that I am not an EE, and my knowledge in Electronics is basic, so please bear with me and be patient if, initially I am bending a few rules.
In Epee fencing, a touch is awarded when contact is made at the end of a weapon's ... | {} |
# How do you find the length of the curve y=lnabs(secx) from 0<=x<=pi/4?
Feb 2, 2017
$\ln \left(\sqrt{2} + 1\right) = 0.8814$ length units, nearly..
#### Explanation:
In the given interval,$| \sec x | = \sec x$.
$y ' = \frac{1}{\sec} x \left(\sec x\right) ' = \sec x \tan \frac{x}{\sec} x = \tan x$1
Length = $\int... | {} |
# Partial Fraction Decomposition of Exponential Generating Functions
I want to see if it is possible to write $$\left(\frac{x}{e^x-1}\right) \left(\frac{x^2/2! }{e^x-1-x}\right) \left(\frac{x^3/3!}{e^x-1-x-x^2/2}\right)$$ as a linear combination of the factors $$p(x)\frac{x}{e^x-1}+q(x)\frac{x^2/2}{e^x-1-x}+r(x)\frac{... | {} |
# A New Cost Function for Hierarchical Cluster Trees
Hierarchical clustering has been a popular method in various data analysis applications. It partitions a data set into a hierarchical collection of clusters, and can provide a global view of (cluster) structure behind data across different granularity levels. A hier... | {} |
# Four gradient operator, covariance/contravariance
1. Dec 11, 2008
### student111
I'm doing a selfstudy on relativistic electrodynamics and stumbled over a problem (which i find rather important) i can't solve. It's concerning problem 12.55 in Griffiths introduction to electrodynamics.
One needs show that the four ... | {} |
Supplementary Figure 2: Representative rate maps in the divided A|B and the merged AB environment and corresponding sliding correlation heat maps A|B x AB for all 10 rats. | Nature Neuroscience | {} |
# Electrodynamics/Electric Field
## Electric Fields
The electric field is a physical field that is produced by electrically charged objects and which affects the behaviour of charged objects in the vicinity of the field. The electric field extends indefinitely throughout space and describes the electric interaction.
... | {} |
# "Non-categorical" examples of $(\infty, \infty)$-categories
This title probably seems strange, so let me explain.
Out of the several different ways of modeling $$(\infty, n)$$-categories, complicial sets and comical sets allow $$n = \infty$$, providing mathematical definitions of $$(\infty, \infty)$$-categories. I'... | {} |
# Thread: Domain and Range Functions
1. ## Domain and Range Functions
I am to write this in interval notation. I don't remember learning this:
But here are two examples. On a graph, i know how to get the domain and range, but not from a function.
2. Originally Posted by sgonzalez90
I am to write this in interval not... | {} |
# Disable XP SP2+’s FQP Requirement?
I finally gave in and decided to update XP to SP3. One of the things that bothers me about SP2+ and which caused me to put it off for so long is that it requires fully-qualified paths for file-types and Explorer verbs.
For example, in SP1, you could do something like the following... | {} |
# Logistic regression algorithm in Ruby
I have been using R to calculate logistic regression with many independent variables for a Ruby on Rails web application. However, I can no longer import data from the database to R using RPostgreSQL. The web host has stopped allowing insecure connections to the database. The po... | {} |
New Combinatorial Complete One-Way Functions
Arist Kojevnikov & Sergey I. Nikolenko
In 2003, Leonid A. Levin presented the idea of a combinatorial complete one-way function and a sketch of the proof that Tiling represents such a function. In this paper, we present two new one-way functions based on semi-Thue string re... | {} |
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# Text Cleaning: Emojis
Unsolved
###### NLP
Difficulty: 2 | Problem written by vivek
Text preprocessing is an important task in NLP. There are multiple ways of cleaning text before processing.
Write a function that will remove any emojis present in the input text. The output will be clean text without any icons o... | {} |
Home > Standard Error > Standard Error For Proportions
# Standard Error For Proportions
## Contents
The critical value is a factor used to compute the margin of error. Related 3Estimation the standard error of correlated (binomial) variables5What is the standard error for the distribution of the difference in propor... | {} |
[dev-context] Mac installation package
Mon Aug 24 16:27:50 CEST 2009
On Mon, 24 Aug 2009, Wolfgang Schuster wrote:
>
> Am 24.08.2009 um 00:17 schrieb Aditya Mahajan:
>
>>> In your module you can either use \getparameters or – what I think you
>>> want in your module – \setvariables because it's not very different to... | {} |
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# UltiSnips autoexpansion doesn't work with YouCompleteMe
I use UltiSnips and YCM, which usually works fine. However, I've noticed an issue for autoexpanded snippets. For example, if I have the snippet
snippet beg "begin/end" bA
\begin{$1}$0
\end{$1} and then type beg in my document, then I end up with beg$1}
$0 \en... | {} |
Is PETSc's DMDA relying on undefined behavior?
I was looking at the documentation for DMDAVecGetArray and was surprised that it could create a plain ordinary C array whose indices somehow ranged from, say, istart to istart + size - 1, rather than from 0 to size - 1, or a multidimensional array (also an ordinary C arra... | {} |
Object map() / transmute() method
I'm somewhat curious on peoples opinion about such a method. I Actually didn't find anything similar in librarys I use on regular bases so far.
This is my implementation:
Object.map = function _map( obj, transform ) {
if( typeof obj === 'object' && typeof transform === 'function' ) ... | {} |
# Spurious correlation
An illustration of spurious correlation, this figure shows 500 observations of x/z plotted against y/z. The sample correlation is 0.53, even though x, y, and z are statistically independent of each other (i.e., the pairwise correlations between each of them are zero).
This figure shows the 500 o... | {} |
# CDO and Nonpositive Equity Questions
At 6:25, the video shows a Collateralized Debt Obligation divided into an AAA-rated tranche, an AA-rated tranche, and an equity tranche, in order of increasing risk but also increasing return, and the claim is made that no one wants to buy the equity tranche. In my mind, the retu... | {} |
# [HDU3746]Cyclic Nacklace（KMP）
### Description
CC always becomes very depressed at the end of this month, he has checked his credit card yesterday, without any surprise, there are only 99.9 yuan left. he is too distressed and thinking about how to tide over the last days. Being inspired by the entrepreneurial spirit... | {} |
# Michael's question at Yahoo! Answers concerning normally distributed data
#### MarkFL
Staff member
Here is the question:
Help With A Statistics Problem! 10 Points!?
SAT math scores are scaled so that they are approximately normal, with a mean of 506 and a standard deviation of 124.
A college wants to send letter ... | {} |
Border collision bifurcations of stroboscopic maps in periodically driven spiking models
Abstract : In this work we consider a general non-autonomous hybrid system based on the integrate-and-fire model, widely used as simplified version of neuronal models and other types of excitable systems. Our unique assumption is ... | {} |
# Milnor conjecture
In mathematics, the Milnor conjecture was a proposal by John Milnor (1970) of a description of the Milnor K-theory (mod 2) of a general field F with characteristic different from 2, by means of the Galois (or equivalently étale) cohomology of F with coefficients in Z/2Z. It was proved by Vladimir V... | {} |
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