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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9583 | # Enderton 3.3 Problem 5
• Dec 18th 2011, 04:35 AM
logics
Enderton 3.3 Problem 5
Show that the set of sequence numbers is representable (catalog item 10).
================================================== ==========
Necessary definitions for this problem are shown in the below link, especially, slide 21 and 22.
ht... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9580 | # Binary function
A binary function $$f$$ is a function of two inputs (i.e., a function with arity 2). For example, $$+,$$ $$-,$$ $$\times,$$ and $$\div$$ are all binary functions.
Parents: |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9575 | # Sketching a polar curve
Continued off the question I asked earlier, I also have to sketch the curve.
$r^2=−4\sin(2\theta)$
So I have to set up a table of values I'm assuming. How do I know what values to choose for $\theta$. Then I'm just lost all together trying to plot the theta and $r$ values to get the curve.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7312 | # Prove inequality using optional sampling
I proved the inequality below using Wald's identity and some tricky but easy manipulation, but I cannot do it using the suggestion from the source: "Hint: optional sampling!"
Here is the problem:
$X_1,X_2,\ldots$ are i.i.d. with $P(X_1>0)=1$. Let $S_n=\sum_{i=1}^nX_i$ and f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7313 | Random variables and sigma field
Given $Z_1,Z_2,\cdots$ i.i.d with $E|Z_i|<\infty$. $\theta$ is an independent r.v. with finite mean and $Y_i=Z_i+\theta$.
If we define $F_n=\sigma(Y_1,\cdots,Y_n), F_\infty=\sigma(\cup_n F_n).$ Do we have $\theta\in F_\infty$?
-
How about: If $E[Z_i] = m$, then $$\lim_{n \to \infty}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7314 | # Need help with ROE Please 3 answers below »
DuPont and Roe
A firm has a profit margin of 8% and an equity multiplier of 1.8. Its sales are $300 million, and it has total assets of$90 million. What is its ROE? Round your answer to two decimal places.
________ %
## 3 Approved Answers
Mark B
3 Ratings, (9 Votes)
ROE... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7315 | Home / Arithmetic Aptitude / Compound Interest :: Discussion
### Discussion :: Compound Interest
1. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
2. A. 3 B. 4 C. 5 D. 6
Explanation :
P$$[ 1+\frac { 20 } {100 } ]^n$$greater than2P$$(\frac ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7317 | My Math Forum problem about measure
Real Analysis Real Analysis Math Forum
September 11th, 2014, 11:07 AM #1 Member Joined: Mar 2013 Posts: 71 Thanks: 4 problem about measure Please, check my solution to this problem: "Prove that if $X \subset [a,b]$ isn't a measure-zero set, then there exists $\varepsilon >0$ su... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7318 | # How do you prove that sqrtx is continuous?
Dec 14, 2016
We need to prove that for any point $a \in \left(0 , \infty\right)$, for every $\epsilon > 0$ there exists a $\delta > 0$ such that
$| x - a | < \delta \implies | \sqrt{x} - \sqrt{a} | < \epsilon$
So, to find a suitable $\delta$, we must look at the inequali... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7319 | , 08.11.2019 05:31 Danay4600
### Another question on Mathematics
Mathematics, 21.06.2019 15:00
Mustafa contributes 11% of his \$67,200 annual salary to his 401k plan. what is his pretax income
Mathematics, 21.06.2019 21:00
Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7320 | Address 1201 Snow St, Oxford, AL 36203 (256) 832-1444
# calculation of type 2 error Eastaboga, Alabama
Examples: If the cholesterol level of healthy men is normally distributed with a mean of 180 and a standard deviation of 20, but men predisposed to heart disease have a mean In this example, Z542 = (x bar - μ)/(σ/√n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7321 | ## HW 1.15, 6th edition
H-Atom ($E_{n}=-\frac{hR}{n^{2}}$)
Bianca Barcelo 4I
Posts: 74
Joined: Fri Sep 28, 2018 12:17 am
Been upvoted: 1 time
### HW 1.15, 6th edition
"In the ultraviolet spectrum of atomic hydrogen, a line is observed at 102.6 nm. Determine the values of n for the initial and final energy levels of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7322 | 1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set
S = {x $$\in$$ R : ƒ(x) = ƒ(0)}
Contains exactly :
A
four rational numbers.
B
four irrational numbers.
C
two irrational and one rational number.
D
two irration... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7323 | ## Homework problem 4.61
NinaSheridan
Posts: 30
Joined: Wed Sep 21, 2016 2:58 pm
### Homework problem 4.61
What do the (sigma2p)^22 and (sigma2p)^11 mean at the end of #61 on the chapter 4 homework?
MayaKhalil_1L
Posts: 34
Joined: Wed Sep 21, 2016 2:59 pm
### Re: Homework problem 4.61
I'm not completely sure, but... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7324 | Worth Sharing !
### NUMBERS are the basics of math. They form the base and are used in all the math calculations. Types of Numbers are as below
1. Natural Numbers
2. Whole Numbers
3. Integers
4. Rational Numbers
#### Definitions
Natural Numbers – These are numbers starting from 1 up infinity i.e 1,2,3,4,……………………Inf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7325 | × Close
Join the Ques10 Community
Ques10 is a community of thousands of students, teachers, and academic experts, just like you.
Join them; it only takes a minute
Question: Verify Cayley-Hamilton theorem for following matrix and also find the following
0
$A^{-1} and A^4$
Subject: Applied Mathematics 4
Topic: Matrice... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7326 | Find the argument of the complex numbers
1. Apr 13, 2016
chwala
1. The problem statement, all variables and given/known data
a) The complex number $1-i$ is denoted by $u$. On an argand diagram, sketch the loci representing the complex numbers $z$ satisfying the equations $|z-u|= |z| and |z-i|=2$
b) Find the argument... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7327 | SEARCH HOME
Math Central Quandaries & Queries
Question from JoAnne: What is .025% of 575 billion dollars?
Hi JoAnne,
Suppose the question was
What is 50% of 500 billion dollars?
That you can do in your head, it's 250 billion dollars. This s easy since 50% is $\large \frac12$ and so
$\mbox{ 50 % of 500 billion is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11696 | # Box Integrals
Borwein, Jonathan M. and Bailey, David H. and Crandall, Richard E. (2007) Box Integrals. Journal of Computational and Applied Mathematics, 206 .
Preview
PDF
By a box integral'' we mean here an expectation $\langle |\vec r - \vec q|^s \rangle$ where $\vec r$ runs over the unit $n$-cube, with $\vec q$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11697 | # Algebra/Topology seminar
Speaker: Pavel Safronov (Zurich).
Title: Categorified Grothendieck—Riemann—Roch theorem.
Abstract: The Grothendieck--Riemann--Roch theorem compares the Chern character of pushforward of a coherent sheaf along a smooth and proper map of varieties to the pushforward of the Chern character. F... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11698 | Home > Standard Error > What Is Standard Error Of Estimate
# What Is Standard Error Of Estimate
## Contents
Thank you to... And that means that the statistic has little accuracy because it is not a good estimate of the population parameter. The unbiased standard error plots as the ρ=0 diagonal line with log-log slop... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11699 | # My favorite – watching problem solving ideas develop
This is sort of an accidental “my favorite” but I spent 30 minutes with my older son today and found myself thinking about how much I love watching problem solving ideas develop in kids.
“Problem Solving” is notoriously hard to define – and since I’m in a happy m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11700 | # Is (3, 14) a solution to the equations 6x - y = 5 and y = 5x +2?
Dec 6, 2015
No, it's actually $\left(7 , 37\right)$
#### Explanation:
$6 x - y = 5$
$- y = - 6 x + 5$
$y = 6 x - 5$
$y = 5 x + 2$
plug in $y$
$6 x - 5 = 5 x + 2$
$x = 7$
$y = 6 \left(7\right) - 5$
$y = 37$
$\left(7 , 37\right)$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11701 | You are here
Home > Previous Papers > 2018 Commerce UGC NTA NET JRF Solved Previous Year Paper July-2018
# Commerce UGC NTA NET JRF Solved Previous Year Paper July-2018
1. The central bank can significantly influence the savings, investments and consumer spending in the economy through which of the following policy?
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11702 | # Lower bounds for moments of global scores of pairwise Markov chains
Authors
Type
Preprint
Publication Date
Feb 18, 2016
Submission Date
Feb 17, 2016
Identifiers
arXiv ID: 1602.05560
Source
arXiv
Let $X_1,X_2,\ldots$ and $Y_1,Y_2,\ldots$ be two random sequences so that every random variable takes values in a finite s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11703 | # Tag Info
It's easier to take the questions out of order. what can be said about the distribution of exponents a+b mod p when b is taken at random from Zp, but a is fixed? If $b$ is a uniform independent random value from the range $[0, p-1]$, that is, the probability of each possible value is $1/p$, and $b$ is distr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11704 | understand Torsion using Flat Bundles
My question refers to a discussion from this older thread on Neron-Severi group of a Kähler manifold. In the comments below Ted Shifrin's answer there arised a discussion when the map $$H^2(X,\mathbb{Z}) \to H^2(X,\mathbb{C})$$ indced by the canonical inclusion $$\mathbb{Z} \subse... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11706 | ## College Algebra 7th Edition
$\frac{160+s}{3}$
We average the three scores (78, 82, and s): $\frac{78+82+s}{3}=\frac{160+s}{3}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11707 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 24 Jun 2018, 18:53
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11708 | # Property: Archimedean field
Definition: an ordered field such that for every $x$ there exists an integer $n>x$.
Nothing was retrieved. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11709 | Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/12) | Q#10
Question
The diagram shows an open rectangular tank of height meters covered with a lid. The base of the tank has sides of length meters... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11710 | # The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? Option 1) Option 2) Option 3) 20 Option 4) Option 5)
$X+(\frac{1}{x})=\frac{1}{8}(34)$
$By\: solving \: this\: x=4$
$X^{3/2}=8$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11711 | # A problem by Tierone James Santos
Level pending
What is the midpoint of the segment joining the points \left( -1,\quad 4 \right) and \left( 1,\quad 6 \right)?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1520 | # Cardano's Formula/Examples/x^3 - 15x - 4
## Example of Use of Cardano's Formula
$\ds x^3 - 15x - 4 = 0$
has solutions $x = 4$, $x = -2 + \sqrt 3$ and $x = -2 - \sqrt 3$.
## Proof
$\ds x^3 - 15x - 4$ $=$ $\ds 0$
This is in the form:
$a x^3 + b x^2 + c x + d = 0$
where:
$a = 1$
$b = 0$
$c = -15$
$d = -4$
Fro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1521 | # Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises: 15
Area of the Semicircle: 76.93 in$^{2}$
#### Work Step by Step
Area of a Semicircle: $A$ = $\pi$$r$$^{2}$/2 $A$ = (3.14)(7 in)$^{2}$/2 $A$ = 76.93 in$^{2}$
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1522 | The question states: Find the center of mass of a solid of constant density bounded below by the paraboloid z=x2+y2 and above by the plane z=4.
The integral for this equation is:
z=x2+y2 to z=4
y=0 to y=√(4-x2)
x=0 to x=2
Converted into cylindrical coordinates makes it:
z=x2+y2 to z=4
r=0 to r=2
θ=0 to θ=π/2 (T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1523 | # Tag Info
5
What tlmgr actually does is explained in egreg's answer partially: it connects to mirror.ctan.org and asks for a mirror it extracts the actual mirror address from the html response it uses this (the same) address for all operations of this run The additional two steps are done to ensure that in one run o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1524 | # Probability of Purchasing
The question is, "Consider the type of clothes dryer (gas or electric) purchased by each of five different customers at a certain store. (a).If the probability that at most one of these purchases an electric dryer is .428, what is the probability that at least two purchase an electric dryer... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1525 | ## Elementary Algebra
$6x^{3}-x^{2}-13x-4$
We will expand the expression by multiplying each term of the first expression by the whole second expression. Then, we will collect similar terms to obtain: $(3x+1)(2x^{2}-x-4)$ =$3x(2x^{2}-x-4)+1(2x^{2}-x-4)$ =$6x^{3}-3x^{2}-12x+2x^{2}-x-4$ =$6x^{3}-3x^{2}+2x^{2}-x-12x-4$ =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1527 | ## Calculus 10th Edition
Published by Brooks Cole
# Chapter 2 - Differentiation - 2.2 Exercises: 47
#### Answer
The derivative is $3x^2+1$.
#### Work Step by Step
$y=x(x^2+1)=x^3+x$ $y'=(x^3+x)'=(x^3)'+(x)'=3x^2+1$ using the power rule $((x^n)'=nx^{n-1})$ We first distribute the $x$ into the expression to get $x^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1528 | # 2.2 Sparse approximation and ℓp spaces
Page 1 / 1
We now look at how well $f\in \mathbf{X}$ can be approximated by $n$ functions in the dictionary $\mathcal{D}$ .
We define the error of $n$ -term approximation of $f$ by the elements of the dictionary $\mathcal{D}$ as $\begin{array}{cc}\text{(1)}& \sigma {}_{n}\le... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1529 | ## Publicacions Matemàtiques
### Comparison principle and constrained radial symmetry for the subdiffusive $p$-Laplacian
Antonio Greco
#### Abstract
A comparison principle for the subdiffusive $p$-Laplacian in a possibly non-smooth and unbounded open set is proved. The result requires that the involved sub and supe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1530 | # Is “amount of substance” the same thing as “number of moles”?
## Background:
Amount of substance is a fundamental physical quantity which has mole (mol) as it's SI unit. Therefore all expressions for amount of substance should have the unit mole on simplification.
If $$A$$ is the amount of substance (normally in m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1532 | Find all the values of x (if any) where the tangent line to the graph of the....
• Sep 3rd 2008, 10:53 PM
plstevens
Find all the values of x (if any) where the tangent line to the graph of the....
....function is horizontal.
x cubed - 12x + 2
wouldn't that be 0 and 2. by taking the derivative and solving for x, i get... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1533 | • Stat. Pap. (IF 1.433) Pub Date : 2020-08-07
Šárka Hudecová, Miroslav Šiman
The article shows how some common measures of association between two random vectors may be used to test multivariate symmetry around a subspace (possibly up to a shift), which also permits testing exchangeability, axial symmetry, halfspace s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1534 | ## FANDOM
49 Pages
The Quaternion identity expresses the product of any two numbers, each expressed as the sum of four squares, as the sum of four squares.
## Derivation from quaternionsEdit
The quaternion units 1,i,j,k are defined so that
1 = 1*1 = -i2 = -j2 = -k2
i = 1i = i1 = jk = -kj
j = 1j = -ik = j1 = ki
k =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1535 | The image below shows the vector field with the magnitude of the curl drawn as a surface above it: The green arrow is the curl at $$(\pi/4, \pi/4)$$. Find out what you can do.
It is indicating how much the field is circulating the given area ‘ds‘. It's difficult to plot, because the vector field blows up at the origin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1531 | Fair coin toss probability asymptotics [duplicate]
Possible Duplicate:
Asymptotics for a partial sum of binomial coefficients
A fair coin is tossed $n$ times, let $A_n$ be the number of heads and $B_n$ the number of tails and $C_n = A_n - B_n$.
Prove that for every $0<a<1$ holds
$\left(\mathbb{P}\left(C_n \geq an \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3809 | # Set Difference is Subset/Proof 2
$S \setminus T \subseteq S$
$\ds S \setminus T$ $=$ $\ds S \cap \complement_S \left({T}\right)$ Set Difference as Intersection with Relative Complement $\ds$ $\subseteq$ $\ds S$ Intersection is Subset
$\blacksquare$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3810 | # Pulley System
1. Mar 1, 2006
### dekoi
If $$m_1 = 5.0 \ kg \ and \ m_2 = 4.0 \ kg$$, what is the acceleration of $$m_2$$?
I think the following equations describing the situation are correct:
$$m_1a_1=T_1 - m_1g$$
$$m_2a_2=T_2 - m_2g$$
But I don't know how I can go about solving for $$a_2$$.
Is there a relations... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3811 | # How many basic operations are there in an algorithm for the simple multiplication of two numbers of equal length?
BACKGROUND:
Note: The following question arose in my mind when watching this lecture (watch at 5:30 minutes if you will).
Assumption: Just for the sake of this question, let's assume that the term "bas... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3813 | # Why solving a differentiated integral equation might eventually lead to erroneous solutions of the original problem?
Consider the following integral equation araising in a mathematical-physical problem: $$\int_0^r f(t) \arcsin \left( \frac{t}{r} \right) \, \mathrm{d}t + \frac{\pi}{2} \int_r^R f(t) \, \mathrm{d} t = ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3814 | ### N000ughty Thoughts
Factorial one hundred (written 100!) has 24 noughts when written in full and that 1000! has 249 noughts? Convince yourself that the above is true. Perhaps your methodology will help you find the number of noughts in 10 000! and 100 000! or even 1 000 000!
### Mod 3
Prove that if a^2+b^2 is a m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3815 | # Abstract Data Type Systems
This paper is concerned with the foundations of an extension of pure type systems by abstract data types, hence the name of Abstract Data Type Systems. ADTS generalize inductive types as they are defined in the calculus of constructions, by providing definitions of functions by pattern mat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3816 | # Properties of DTFT to Infer the Inverse DTFT of Altered Data [closed]
Given a signal $x \left[ n \right]$ and its DTFT $X \left( {e}^{j \omega} \right)$.
Which property of the DTFT allows you to easily compute the inverse DTFT of $\frac{4 X \left( {e}^{j \omega} \right)}{\pi} - 2$?
• I'm voting to close this quest... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3817 | ## Abstract
Catching students up who have fallen behind academically is a key challenge for educators, and can be difficult to do in a cost-effective manner. This field experiment examines the causal effect of a program designed to provide struggling sixth and seventh graders with math instruction delivered in small g... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3818 | American Institute of Mathematical Sciences
November 2006, 6(6): 1381-1402. doi: 10.3934/dcdsb.2006.6.1381
Laguerre and composite Legendre-Laguerre Dual-Petrov-Galerkin methods for third-order equations
1 Department of Mathematics, Purdue University, West Lafayette, IN 47907 2 Division of Mathematical Sciences, Sc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3819 | Q
# In the following question, a matrix of certain characters is given. These characters follow a certa
In the following question, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column-wise. Find out this trend and choose the missing character accordingly.
• Option 1)
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3820 | # Simple Integrals
1. Jul 17, 2008
### irok
1. The problem statement, all variables and given/known data
Question 1:
Evaluate the indefinite integral.
$$\int \frac{\cos x}{2 \sin x + 6} \, dx$$
Question 2:
Evaluate the indefinite integral.
$$\int \frac{2 \; dx}{x \ln (6 x)}$$
NOTE: The absolute value of x has to b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3821 | # Difference between revisions of "2005 AMC 10A Problems/Problem 14"
## Problem
How many three-digit numbers satisfy the property that the middle digit is the average of the first and the last digits?
$\mathrm{(A) \ } 41\qquad \mathrm{(B) \ } 42\qquad \mathrm{(C) \ } 43\qquad \mathrm{(D) \ } 44\qquad \mathrm{(E) \ }... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3822 | # U0A4A nmal Cennonet Vci100 XXusod hI Maduaing HLDU ordur HYLt Envenlon; hoklary Cos Cemoonem AE 15 m Fu HtusbalouMAil Fa
###### Question:
U0A4A nmal Cennonet Vci100 XXusod hI Maduaing HLDU ordur HYLt Envenlon; hoklary Cos Cemoonem AE 15 m Fu Htusbalou MAil Fa MUEAB Jon4 LILA rcur UaEHC Putunt Comenueni Ouan Ity Mr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3823 | Corpus ID: 221516405
# On the BMY-inequality on surfaces
@article{Terzi2020OnTB,
title={On the BMY-inequality on surfaces},
}
• In this paper, we are concerned with the relation between the ordinarity of surfaces of general type and the failure of the BMY-inequality in positive characteristic. We consider semistable ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3808 | # Why are the dimensions of escape velocity correct?
How does this formula work, from a dimensional analysis perspective?
$$v_\text{escape} = \sqrt{\frac{2GM}{R}}$$
The way I'm thinking about it is that $G$ is in units $\text{N} \cdot \text{m}^2/\text{kg}^2$. You multiply by a kilogram amount (the mass) to turn $G$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13744 | # ODE using integrating factor
So I have started learning ODEs for the first time.
I need to find the general solution of the differential equation $$x \frac{dy}{ dx} + 2y = 3x$$ where the solution satisfying the initial condition $y(1) = 5$.
Should I be using the integrating factor method to solve this?
• Do you m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13745 | ## Marks
• Total mark ______/25
• Reproducibility ______/5
## Exercises
1. This question explores bias-variance trade-off. Read in the simulated data possum_magic.rda. This data is generated using the following function:
$y = 2x + 10sin(x) + \varepsilon, ~~\text{where}~~x\in [-10, 20], ~~\varepsilon\sim N(0, 4^2)$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13746 | ## Tag Archives: semidirect product
### Construct a nonsimple group of order 168 with more than one Sylow 7-subgroup
Prove or construct a counterexample to the assertion: if $G$ is a group of order 168 with more than one Sylow 7-subgroup, then $G$ is simple.
Recall that $GL_3(\mathbb{F}_2)$ has order $7 \cdot 6 \cdo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13747 | # Lesson 16
Compounding Interest
### Lesson Narrative
In this lesson, students continue to examine repeated percent change and practice representing it with expressions. An important focus of the lesson is on distinguishing the effect of compounded percent change from that of simple percent change.
Students begin e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13748 | # Solving a difference equation involving summation expressions-Implicit output
I am trying to solve a difference equation involving summation expression with the following code:
RSolve[{s[n + 1] - (s[n]*(Z/A)) == Sum[((1/A)*((1 - (F*L1))^(n - m))*(Q + (YY* s[m - 1]) - (PP*s[m]) + VV)), {m, 2, n}], s[0] == 0}, s[n], ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13749 | # FAMUS
The “Friday Afternoon Mathematics Undergraduate Seminar” (FAMUS) is a weekly event consisting of announcements, talks, and faculty interviews. FAMUS takes place most Fridays at 3:00-4:00pm in Room 164 of the Adel Mathematics Building. Typically the first half of FAMUS consists of a talk on a mathematical topic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13750 | Now showing items 1-2 of 2
• #### Density Estimation by Monte Carlo and Quasi-Monte Carlo
(2021)
Estimating the density of a continuous random variable $X$ has been studied extensively in statistics, in the setting where $n$ independent observations of $X$ are given a priori and one wishes to estimate the density f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13751 | # The risk-free rate is 3% and you believe that the S&P 500's excess return will be...
###### Question:
The risk-free rate is 3% and you believe that the S&P 500's excess return will be 10.6% over the next year. If you invest in a stock with a beta of 1.1 (and a standard deviation of 30%),
what is your best ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13752 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 18 Apr 2019, 21:35
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13753 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE
General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is R... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13754 | # Great papers: Matroids and the Greedy Algorithm
I’ve decided to read and summarize one great paper a week from this list. This week’s paper is Jack Edmonds‘ 1971 paper Matroids and the Greedy Algorithm.
Summary:
Edmonds starts off by confidently stating:
Many discrete programming algorithms are being proposed. On... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13755 | # Homework Help: Let G be a finite group. Under what circumstances
1. Oct 16, 2012
### Jamin2112
Let G be a finite group. Under what circumstances ....
1. The problem statement, all variables and given/known data
... is that map δ:G→G defined by δ(x)=x2 an automorphism of F.
2. Relevant equations
And automorphis... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13757 | Polynomial For Class 10
In a polynomial, the highest power of the polynomial is referred as the degree of the polynomial. A polynomial with degree 1 is known as linear polynomial, polynomial with degree 2 is binomial or quadratic polynomial, whereas with degree three is cubic polynomial.
For any given polynomial, the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13758 | # Tag Info
0
For $f(x)$ to be a frequency distribution, it requires that $\int_{-\infty}^{\infty}f(x)dx = 1$. So your question is moot.
0
ar first we have $y(1)=4+a+b=2$, then we obtain $y'(1)=8+a$ and this must be $5$
1
$$\prod_{p > 2}\left(1-\frac{1}{(p-1)^2}\right) > \prod_{n \ge 2}\left(1-\frac{1}{n^2}\right)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13759 | # A new formalism for representation of binary thermodynamic data
Hajra, JP (1980) A new formalism for representation of binary thermodynamic data. In: Metallurgical and Materials Transactions B, 11 (2). pp. 215-219.
Preview
PDF
fulltext.pdf - Published Version
The applicability of a formalism involving an exponent... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1840 | # Count explanatory variable, proportion dependent variable
I am having a little trouble coming up with a way of analyzing my data. If there is a short answer (i.e., "use logistic regression, dummy") you can just post that and I'll do some digging on my own - I just need to be pointed in the right direction...
My ind... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1842 | # math environment again
This follows a previous post which can be found here.
I'm now trying to used that command but I get lots of compilation mistakes and I really don't understand where the problem comes from. This is how I'm using the command:
\documentclass{article}
\usepackage{mathtools}
\newcommand{\twopartde... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1843 | # Homework Help: Line tangent to an elipse given one point
1. Apr 12, 2005
### thursdaytbs
Write the equations of the tangent lines from (3,0) to x^2 + 2y^2 = 6
Anyone have any idea? I've graphed it but i still have no clue where it's tangent to the elipse.
2. Apr 12, 2005
### jdavel
thursday,
What do you know ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1844 | # 5.3 Binomial distribution - university of calgary - base content (Page 3/30)
Page 3 / 30
It has been stated that about 41% of adult workers have a high school diploma but do not pursue any further education. If 20 adult workers are randomly selected,
1. find the probability that 12 of them have a high school dip... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1845 | # My Favorite One-Liners: Part 86
In this series, I’m compiling some of the quips and one-liners that I’ll use with my students to hopefully make my lessons more memorable for them.
To get students comfortable with $i = \sqrt{-1}$, I’ll often work through a quick exercise on the powers of $i$:
$i^1 = i$
$i^2 = -1$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1846 | Definitely $$\sim$$ Positively the Pits
by Cliff Long (Bowling Green State University)
Mathematics Magazine
February, 1990
Subject classification(s): Numerical Differentiation | Numerical Analysis | Analysis | Linear Algebra | Algebra and Number Theory
Applicable Course(s): 4.13 Advanced Linear Algebra | 3.8 Linear/... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1847 | Lemma 66.46.1. Let $S$ be a scheme. Let $f : X \to Y$ be a representable morphism of algebraic spaces over $S$. Then $f$ is finite locally free (in the sense of Section 66.3) if and only if $f$ is affine and the sheaf $f_*\mathcal{O}_ X$ is a finite locally free $\mathcal{O}_ Y$-module.
Proof. Assume $f$ is finite loc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1848 | ## Problem of the Day #241: Approximating a Square RootNovember 15, 2011
Posted by Saketh in : potd , trackback
Suppose $r$ is an estimate of the exact value of $\sqrt{240}$. Find an expression, in terms of $r$, for a better estimate. How quickly converging an expression can you find?
Tags: |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1849 | # Solve this
Question:
If $(2 p+1), 13,(5 p-3)$ are in AP, find the value of $p$.
Solution:
Let $(2 p+1), 13,(5 p-3)$ be three consecutive terms of an AP.
Then $13-(2 p+1)=(5 p-3)-13$
$\Rightarrow 7 p=28$
$\Rightarrow p=4$
$\therefore$ When $p=4,(2 p+1), 13$ and $(5 p-3)$ form three consecutive terms of an AP. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1850 | # The Stern-Brocot Tree
Title: The Stern-Brocot Tree Authors: Peter Gammie and Andreas Lochbihler Submission date: 2015-12-22 Abstract: The Stern-Brocot tree contains all rational numbers exactly once and in their lowest terms. We formalise the Stern-Brocot tree as a coinductive tree using recursive and iterative spe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1851 | # Problem of the Week #86 - November 18th, 2013
Status
Not open for further replies.
#### Chris L T521
##### Well-known member
Staff member
Thanks again to those who participated in last week's POTW! Here's this week's problem!
-----
Problem: For $x,y>0$, show that
$\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}= 2\int_0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1852 | $\lim_{x \to 0}(f+g)$ if $\lim_{x \to 0}g$ does not exist
Let $f$ such that $\lim_{x\to 0}f(x)=\infty$ and let $g(x)=\sin(\frac{1}{x})$. I know that $g$ does not have a limit at $x=0$, but what about $\lim_{x\rightarrow 0}(f(x)+g(x))$?
Thanks!
-
3 Answers
Write $$f(x)+g(x)=f(x) \left( 1+\frac{g(x)}{f(x)} \right)$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1854 | # Volume of Sphere Calculator
With the help of this sphere volume calculator, calculating the volume of a sphere has never been easier. Simply enter the spherical shape’s radius, and this tool will calculate its circumference and volume in a blink of an eye.
Spheres, also known as spherical solids, are three-dimensio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1855 | # Subordinator (mathematics)
In the mathematics of probability, a subordinator is a concept related to stochastic processes. A subordinator is itself a stochastic process of the evolution of time within another stochastic process, the subordinated stochastic process. In other words, a subordinator will determine the r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1841 | Abstract: We present some results on random approximations of $\pi$ by using the semiperimeter or area of a random $n$-sided polygon inscribed in (or circumscribed about) a unit circle in the plane. We show that, with probability 1, the approximation error goes to $0$ as $n$ tends to infinity, and is roughly sextupled ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23904 | # Bizarre limit problem [closed]
If $$f(x) = \begin{cases} x^2 & \text{if }x\text{ is rational} \\ 0 & \text{if }x\text{ is irrational} \end{cases}$$ prove that $$\lim_{x\to 0} f(x)=0$$ without using the definition of limits
-
## closed as off-topic by Care Bear, Claude Leibovici, Miha Habič, Jyrki Lahtonen, Stefan ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23905 | # Math Help - kinematics problem
1. ## kinematics problem
i have like 5 questions the same style and i cant do them, so if somebody could work through this 1 ill be really grateful.
Two trains A and B run on parallel striaght tracks. Initially both are at rest in the station and level with each other. At time t=0, A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23906 | # Marginal of a uniform distribution
Given $f\left(x|\theta\right)=1/\theta, 0\leq x\leq \theta,L\left(\theta, a\right)=\left(a-\theta\right)^2,$ and $\pi\left(\theta\right)=\theta e^{-\theta},\theta\gt 0$
I've seen Problem calculating joint and marginal distribution of two uniform distributions, but it's not what I'... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23907 | ## anonymous 5 years ago How do you write the equation of the line parallel to y=3x-1 that passes through the point (-3, -5)?
1. anonymous
parallel means identical slopes, so m=3, and using pt-slope form, Y-Y1=m(x-x1), the parallel line is Y+5=3(X+3) so Y=3X+9-5 So........................Y=3X+4 Y=3X+4 is the eqtn.
2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23908 | # Reference request for function by which to compute coefficients of continued fraction of algebaic number
The simple continued fraction is in the form $$[1;1,2,3,4,5,\dots]=1+\cfrac{1}{1+\cfrac{1}{2+\cdots}},$$ for instance. Obviously,the coefficients $x_i$can be computed by computable function $x_i=f(i), i\in \mathb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23909 | # find a vector $x \in \mathbb{R}^5$ (expressed by the unknowns $y_1, y_2, y_3, y_4$) that fulfills $T(x) = y$
Info given:
There is a linear transformation $$T$$: $$\mathbb{R}^5 \rightarrow \mathbb{R}^4$$ given by $$T\left(\begin{array}{r} \mathbf{x} \end{array}\right) = \left[\begin{array}{r} 2x_1-4x_2-x_3-3x_4+2x_5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23910 | Print; Share; Edit; Delete; Report an issue; Live modes. Measuring Segments. Congruent segments are essential ingredients in proofs. Recuerda que los segmentos de recta y los puntos son la base de la geometría, así que este concepto es importante. (No, these are not technical math terms.) AB BC The length of _ AB equal... |
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