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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15486 | • # question_answer A rectangular loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the voltage developed across the cut, if velocity of loop is $1\text{ }cm{{s}^{-1}}$ in a direction normal to the (i) longer side (ii... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15487 | # Help with this question The cost of ink e s for k ids can bewust over...
###### Question:
help with this question
The cost of ink e s for k ids can bewust over the wo m an k cartridge will yd 500 pages. To this independent absured the page count of does this age or the company's is the number of pages that can be r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15472 | This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15474 | # How to compute Overnight Index Swap (OIS) fixed rate?
I understand that periodically participants exchange the difference in the fixed rate and the daily compounded overnight floating rates.
My question is how should one compute the fixed rate?
What should be used as discount factors for arriving at the fixed rate... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15478 | # Tagged: nonsingular matrix
## Problem 547
Let $A$ be an $n\times n$ nonsingular matrix with integer entries.
Prove that the inverse matrix $A^{-1}$ contains only integer entries if and only if $\det(A)=\pm 1$.
## Problem 509
Using the numbers appearing in
$\pi=3.14159265358979323846264338327950288419716939937510... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15480 | Doubts about Chern-Simons state as a solution of the Hamiltonian constraint in quantum gravity
I've been doing some work with both Baez's Knots, gauge fields and gravity (1) and Gambini, Pullin's Loops, knots, gauge Theories and quantum gravity (2), lately.
I have basically two problems: I understand that, in the ADM... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19424 | # can we divide by any term when we have an differential homogeneous equation?
I am asking because i think we divided by x here for whatever reason since the other side is equal to 0 and it wont affect the equation in any meaningful way.
Letting $y=ux$ we have \begin{align} (x-ux) dx + x(udx + x du) &= 0 \\ dx+ x du ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19425 | # Half-angle identities – Formulas, proof and examples
Half-angle identities are trigonometric identities used to simplify trigonometric expressions and calculate the sine, cosine, or tangent of half-angles when we know the values of a given angle. These identities are obtained by using the double angle identities and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19426 | # Conceptualizing a balance in a DFS traversal [closed]
I'm trying to use the concept of DFS traversal to go through a cycle, and attempt to get a balance of 0 in the end. Each student either owes or is owed some money, so I'm trying to go through all of said students and make sure each one can pay the other.
The inp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19427 | # Math Help - Solve y'=1/[2x+(e^(4y)]
1. ## Solve y'=1/[2x+(e^(4y)]
I need help to solve this equation, anyone could help me out?
y'=1/[2x+(e^(4y)] solve for y.
2. ## Re: Solve y'=1/[2x+(e^(4y)]
Originally Posted by ryan1573
I need help to solve this equation, anyone could help me out?
y'=1/[2x+(e^(4y)] solve for y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19428 | # American Institute of Mathematical Sciences
May 2017, 22(3): 791-807. doi: 10.3934/dcdsb.2017039
## Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management
1 Institute for Mathematical Sciences, Renmin University of China, Beijing, 100872, China 2 Y.Y.Tseng Fu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19429 | # Colexicographical order
In mathematics, the colexicographic or colex order, is a natural order structure of the Cartesian product of two or more ordered sets. It is similar in structure to the lexicographical order. Colexicographical ordering is used in the Kruskal-Katona theorem.
Given two partially ordered sets A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19431 | ### Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
### Roll These Dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19433 | $|f(x)-f(y)|\leq (x-y)^2$ for all $x,y\in\mathbb{R}$ differentiable [duplicate]
Possible Duplicate:
Proof of a simple property of real, constant functions.
Suppose $|f(x)-f(y)|\leq (x-y)^2$ for all $x,y\in\mathbb{R}$. Show f is differentiable.
This follows intuitively, the derivative $2(x-y)$ is defined on $\mathbb{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19435 | Specific strings that cannot be found in PI
Considering that the decimals of PI aren't like prime numbers (random), they are pseudo-random (can be calculated through a formula or an infinite series, yet it is calculable). Keeping this in mind, I've been seeing a lot lately, these pictures that say that If you convert ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19436 | # Does $\int_0^\infty \frac{\sin(\sin(x))}{x}dx$ converge or diverge?
I'm trying to stud the convergence of $$\int_0^\infty \frac{\sin(\sin(x))}{x}dx.$$
I really have no idea on how solve this integral. Unfortunately, I can't majorate absolutely $\frac{\sin(\sin(x))}{x}$ by a $L^1(0,\infty )$ function, so I'm thinkin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19437 | # What is the criterion for a matrix containing vectors and their permutations being invertible?
Consider the matrix $A\in\mathbb{R}^{m\times 2m}$. Let any arbitrary choice of $m$ columns of $A$ be linearly independent. Together with a permutation $P\in\mathcal{P_{2m}}$, one can build the matrix $$B:=\begin{bmatrix}A\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19438 | # Differentiation, change of variable
1. Oct 5, 2006
### thenewbosco
The question:
if $$x=\rho cos \phi$$ and $$y=\rho sin\phi$$
prove that if U is a twice differentiable function of x and y that
$$\frac{d^2U}{dx^2} + \frac{d^2U}{dy^2} = \frac{d^2U}{d\rho^2} + \frac{1}{\rho}\frac{dU}{d\rho} + \frac{1}{\rho^2}\fra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19430 | # CAT2012-55
412 views
Read the following information carefully and answer the question based on that.
Two families are planning to go on a canoe trip together. The families consist of the following people: Robert and Mary Henderson and their three sons Tommy, Don and William, Jerome and Ellen Penick and their two d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19439 | # What is the distance between (5, –1) and (-5,3) ?
Apr 21, 2018
color(indigo)("Distance between the two points " d = 10.77 " units"
#### Explanation:
$\left({x}_{1} , {y}_{1}\right) = \left(5 , - 1\right) , \left({x}_{2} , {y}_{2}\right) = \left(- 5 , 3\right)$
$\text{ Distance Formula } d = \sqrt{{\left({x}_{2}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19432 | +0
0
27
3
a cube and a cylinder have the same surface aera. If the cube has an edge of 6 cm and the cylinder a radius of 2 cm, calculate
a) the surface area of the cube (216 cm^2)
b) the height of the cylinder ????????
i know the surface area of the cube but how do I get the height of the cylinder?
Jun ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10976 | Home > Standard Error > Calculating Standard Error Sampling Distribution
# Calculating Standard Error Sampling Distribution
## Contents
I take 16 samples as described by this probability density function-- or 25 now, plot it down here. Some focus on the population standard deviation. Remember the sample-- our true m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10977 | Chapter 13.4, Problem 15E
### Algebra and Trigonometry (MindTap ...
4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Chapter
Section
### Algebra and Trigonometry (MindTap ...
4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
# APPLICATIONSFinancing a Car A woman wants to borrow $12... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10979 | ## Elementary Geometry for College Students (6th Edition)
Area = $\frac{1}{2}$* 5*6* sin78°
Using theorem 11.4.1 The area of the given triangle is = $\frac{1}{2}$ab sinγ Given a =5 b=6 and γ = 78° therefore Area = $\frac{1}{2}$* 5*6* sin78° |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10980 | # Revisiting Systems of Linear Equations
Almost every reader would have seen systems of linear equations from their high school days. Whether they liked it or not is a separate story. But, in all likelihood, they would have solved these equations by gradually removing variables one by one by substitution. In this way,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10981 | My Math Forum Solving recurrence of order n
Real Analysis Real Analysis Math Forum
February 3rd, 2019, 05:08 AM #1 Newbie Joined: Feb 2019 From: France Posts: 1 Thanks: 0 Solving recurrence of order n Hi, I came across this sequence $u_n$ where $u_1=1$ and subsequent terms are given by the recursive formula $$u_{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10982 | # No solution existence on interval for initial value problem
I really would appreciate someone helping me solve this problem:
Consider the initial value problem $$x'=f(t,x),x(0)=0$$ where $$f(t,x)=\begin{cases} 1 & t \geq 0 \text{ and }\forall x \\ -1 & t < 0 \text{ and }\forall x \end{cases}$$
(a) Show the existen... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10983 | # Gompertz Equation
The Gompertz model The Gompertz model describes the cumulative biogas production curve in batch digestion assuming that substrate levels limit growth in a logarithmic relationship (Schofield et al. Topics include the Weibull shape parameter (Weibull slope), probability plots, pdf plots, failure rat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10986 | # 1. The drug order reads ASA grains Xq4h pm. for headache. You have ASA 300 mg...
###### Question:
1. The drug order reads ASA grains Xq4h pm. for headache. You have ASA 300 mg tablets. How many tablets will you give? 90 10 50mg T X 300 mg grio (300 Jong = 6,50 mg groo - bdmg = 13% ng or 2 Yong 2. Order: Lasix 8 mg ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10987 | # Link between fractals and chaos
1. Jan 19, 2010
### billiards
I have studied fractals and think of them as things that exhibit self similarity at different characteristic scales. For example a grain of sand looks a bit like a pebble, which looks a bit like an outcrop, which looks a bit like a mountain. If you coun... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10988 | ## Trigonometry (11th Edition) Clone
$20$
The amplitude of the given graph is one-half of the difference between the highest (maximum) and the lowest (minimum) values. The highest value in the graph is 120 while the lowest is 80. Thus, Amplitude = $\frac{1}{2}(120−80)=\frac{1}{2}(40)=20$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10989 | # zbMATH — the first resource for mathematics
Noncommutative deformations of type-$$A$$ Kleinian singularities. (English) Zbl 0807.16029
Let $$k$$ be an algebraically closed field of characteristic zero. The author studies noncommutative $$k$$-algebras generated by the elements $$a,b$$ and $$h$$ satisfying the relatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10990 | # Math Help - partial fraction from improper fraction
1. ## partial fraction from improper fraction
Resolve into partial fractions:
x^4 / (x^2 +1)(x^2 -1)
sorry if it looks messy but im not sure how to make fractions, etc. on this forum
anyway, since its a improper fraction i got the proper fraction by long devisi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10978 | ## Abstract
Within this paper we discuss a numerical strategy to solve the elasticity problem upon unstructured and non conforming meshes, allowing all kinds of flat-faced elements (polygons in 2D and polyhedra in 3D). The core of the formulation relies on two numerical procedures 1) the Control Volume Function Approx... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10984 | # A rd Data Dimension Arie Yeredor nd -Order Statistics Just Weight and See! + Sept. 28 th, 2010.
## Presentation on theme: "A rd Data Dimension Arie Yeredor nd -Order Statistics Just Weight and See! + Sept. 28 th, 2010."— Presentation transcript:
a rd Data Dimension Arie Yeredor nd -Order Statistics Just Weight and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10991 | # How do you solve and graph 3y+6<=2y?
Dec 16, 2017
See a solution process below:
#### Explanation:
Subtract $\textcolor{red}{6}$ and $\textcolor{b l u e}{2 y}$ from each side of the inequality to solve for $y$ while keeping the inequality balanced:
$3 y - \textcolor{b l u e}{2 y} + 6 - \textcolor{red}{6} \le 2 y ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_800 | Theoretically, your matrix is positive semidefinite, with several eigenvalues being exactly zero. When all the eigenvalues of a symmetric matrix are positive, we say that the matrix is positive definite. Theorem C.6 The real symmetric matrix V is positive definite if and only if its eigenvalues They give us three tests ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_801 | # If a vector in a convex set can be extended infinitely to a certain direction, can any vector in that set be extended infinitely to that direction
Assume we have a convex set $U$. Given $x \in U$, assume there exists a vector $y$ such that $\forall t>0, \ \ x+ty \in U$. I wish to prove that $\forall z \in U,\ \ \for... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_802 | # Partial differential
1. Jul 13, 2006
### the_edge
Hello, I'm new at these equations so I need help. I'm not able to solve this partial differential equation, if there is somebody who can help me do it plzz...
http://galeb.etf.bg.ac.yu/~ii030168d/problem/problem.GIF [Broken]
OK, it begins like this:
http://galeb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_804 | # I Positive Mass in the Lagrangian from Landau
Tags:
1. Feb 15, 2016
### Oppie
Hello,
I'm sure most of you are already familiar with the book "Mechanics" by Landau and Lifshitz. There's a section that I do not understand.
In section 4 towards the end they mentions that "It is easy to see that the mass of the part... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_805 | Author:
Subject:
Algebra
Material Type:
Lesson Plan
Level:
Middle School
6
Provider:
Pearson
Tags:
Language:
English
Media Formats:
Interactive, Text/HTML
# Using Rates to Determine Efficiency
## Overview
Students watch a video in which two students discuss the problem of how to compare fuel efficiency. Students the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_807 | MathSciNet bibliographic data MR2676041 (2011e:68161) 68U05 (52B55) Ezra, Esther A note about weak $\epsilon$$\epsilon$-nets for axis-parallel boxes in $d$$d$-space. Inform. Process. Lett. 110 (2010), no. 18-19, 835–840. Article
For users without a MathSciNet license , Relay Station allows linking from MR numbers in o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_809 | # Which of the following molecules could be formed via PCC (pyridinium chlorochromate) oxidation of a secondary (29) alcoholin _ polar
###### Question:
Which of the following molecules could be formed via PCC (pyridinium chlorochromate) oxidation of a secondary (29) alcoholin _ polar aprotic solvent? Select all that ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_810 | # Complex number problem
• June 28th 2013, 07:52 AM
purpeil
Complex number problem
for any complex number z prove that - I z I < or equal to Re (z) < or equal to I z I
• June 28th 2013, 08:10 AM
Plato
Re: Complex number problem
Quote:
Originally Posted by purpeil
for any complex number z prove that $- | z |\le Re (z)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_811 | # Math Help - Help with Cosine Function
1. ## Help with Cosine Function
What function is y = cos(x + π) equal to
can you also explain the answer
thanks
2. ## Re: Help with Cosine Function
Use the angle-sum identity for cosine:
$\cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)$
You may also thi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_813 | ##### Related content
###### Supervised learning - Wikipedia
There are several algorithms that identify noisy training examples and removing the suspected noisy training examples prior to training has decreased generalization error with statistical significance.
###### Machine learning - Wikipedia
Machine learning (... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_815 | # Evaluation Metrics - RDD-based API
2020-01-21
spark.mllib comes with a number of machine learning algorithms that can be used to learn from and make predictions on data. When these algorithms are applied to build machine learning models, there is a need to evaluate the performance of the model on some criteria, whi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_803 | # Bivariate_LSDsim: Simulates from the bivariate logarithmic series distribution In trawl: Estimation and Simulation of Trawl Processes
## Description
Simulates from the bivariate logarithmic series distribution
## Usage
1 Bivariate_LSDsim(N, p1, p2)
## Arguments
N number of data points to be simulated p1 para... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_806 | # Project Euler #100: Arranged probability
If a box contains twenty-one coloured discs, composed of fifteen blue discs and six red discs, and two discs were taken at random, it can be seen that the probability of taking two blue discs, $P(BB) = \frac {15} {21} \times \frac {14} {20} = \frac 1 2$.
The next such arrang... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_812 | # 2.1: Mathematical Fundamentals
Changing the order of addends does not change their sum
$A+B=B+A \\ 3+2=5 \;\; while, \;\; 2+3=5$
note, subtraction is not commutative
$A-B \neq B-A \\ 3-2=1\;\; while, \;\; 2-3=-1$
## Commutative Property of Multiplication
$AB=BA$
Note division not commutative
$\frac{A}{B} \neq\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_814 | ## 2019-02-04
I re-read the proof of existence of a computable infinite binary tree without any computable paths, in Stillwell’s Reverse Mathematics. I was able to follow the proof. If you remember, I was having trouble with this proof a while back. One of the errors I had made earlier is to assume that the tree nodes... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7330 | # Volume of Intersection of cylinders (different radii)
I want to derive a formula for the area of the intersection of two rigth cylinders with different radii. To get an idea I attached a sketch.
My idea is to determine the borders of $x$ and $z$ in dependence of $y$.
The borders of $x$ are: $-\sqrt{b^2-y^2} \leq x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7331 | # Question b5dd9
Jan 28, 2018
Suppose that the ball was thrown at $u \frac{m}{s}$ to achieve the given condition.
Now, considering vertical motion,it has to reach $\left(3.05 - 2\right) m$ or, $1.05 m$ and this will be the maximum height,for just to cross the basket.
So, we can use, ${v}^{2} = {u}^{2} - 2 g s$ (all... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7332 | # zbMATH — the first resource for mathematics
On Tit’s conjecture and other questions concerning Artin and generalized Artin groups. (English) Zbl 0633.20021
Let $$\Gamma$$ be a graph every edge in which is determined by two vertices x, y from the vertex set X not excepting $$x=y$$. Suppose that there is a function $$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7334 | # Linear Algebra - Self-adjoint...something something
• March 9th 2008, 12:43 PM
Chloroform
The adjoint of a product is the product of the two adjoints in the opposite order. In other words, $(AB)^* = B^*A^*$. That's all you need to know in order to do this problem. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7336 | # Diagonalizability of real Normal matrix.
I am reading Hoffman and Kunze linear algebra book. In chapter $8$ there is a theorem that states as " Let $V$ be a finite-dimensional complex inner product space and $T$ a normal operator on $V.$ Then $V$ has an orthonormal basis consisting of characteristic vectors for $T".... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7338 | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 01 Jul 2015, 04:20
### 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.
C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7339 | # normal approximation to the binomial formula
Verify whether n is large enough to use the normal approximation by checking the two appropriate conditions.. For the above coin-flipping question, the conditions are met because n â p = 100 â 0.50 = 50, and n â (1 â p) = 100 â (1 â 0.50) = 50, both of which a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7340 | two parameter exponential distribution sufficient statistic
1010-1020. So, we firstly define complete sequence function and recall some well-known theorems. 2. Lett., Vol. Arnold, N. Balakrishnan, and H.N. Plan. If X has Exp(μ,σ), then from (7) proof of the necessity is concluded. A. Dembińska, J. Stat. Let us define ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7342 | # Welcome to our third and final installment on the Yoneda lemma! In the past couple of weeks, we've slowly unraveled the mathematics behind the Yoneda perspective, i.e. the categorical maxim that an object is completely determined by its relationships to other objects.
of its fundamental theorems is the Yoneda Lemma,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7343 | Next: Momentum Representation Up: Position and Momentum Previous: Schrödinger Representation
Generalized Schrödinger Representation
In the preceding section, we developed the Schrödinger representation for the case of a single operator corresponding to a classical Cartesian coordinate. However, this scheme can easily... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7335 | # Orbifold adjunction formula and symplectic cobordisms between lens spaces
@article{Chen2004OrbifoldAF,
title={Orbifold adjunction formula and symplectic cobordisms between lens spaces},
author={Weimin Chen},
journal={Geometry \& Topology},
year={2004},
volume={8},
pages={701-734}
}
• Weimin Chen
• Published 2004
• M... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7337 | # 10.4: What Is Probability?
Informally, we usually think of probability as a number that describes the likelihood of some event occurring, which ranges from zero (impossibility) to one (certainty). Sometimes probabilities will instead be expressed in percentages, which range from zero to one hundred, as when the weat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7329 | Physics
# The accuracy in the measurement of speed of light measured as $3.00\times { 10 }^{ 8 }\ m/s$ is :
##### ANSWER
$\dfrac { 1 }{ 3 }\%$
##### SOLUTION
Accuracy is defined as the possible error in the calculation.
Now, speed of light here is measured as $3.00\times { 10 }^{ 8 }$ which is measured up to $0.01\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7341 | My Math Forum Differential equation
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Differential Equations Ordinary and Partial Differential Equations Math Forum
May 21st, 2019, 05:10 PM #1 Senior Member Joined: Dec 2015 From: somewhere Posts: 541 Thanks: 82 Differential equation $\displaystyle \frac{d^4 z}{dt^4 }=z+C \;$ , C-c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7328 | Position Distance Displacement Worksheet Answers by 20 units. Position along a number line - 0. distance; differences and similarities. After 6 seconds the object is just 3 m north of its starting point even though it has travelled a total distance of 9 m. Colons Worksheets. But close the velocity graph and the acceler... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4161 | # Question f0370
Jan 29, 2017
${T}_{f} = - {1.58}^{\circ} \text{C}$
This should be in your textbook under the topic of "Colligative Properties". Basically, any solute you put into a solvent decreases its freezing point and increases its boiling point. This is called a colligative property of the solute. We call thes... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4162 | ## Avila Cordeiro de Melo, Artur
Compute Distance To:
Author ID: avila.artur Published as: Avila, Artur; Avila, A. Homepage: http://w3.impa.br/~avila/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Awards: Clay Research Award (2006) · EMS Prize (2008) · Fields Medal (2014)
Documents Indexed: 94 Publication... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4163 | # part of a partition
If $\lambda=(\lambda_{1},\lambda_{2},\ldots,\lambda_{k})$ is an integer partition, then each $\lambda_{j}$ is a part of $\lambda$. The length of $\lambda$ is defined as the number of its parts. If $m_{j}$ is the number of parts equal to $j$, then the partition $\lambda$ is also written as $\lambd... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4164 | If $E(X_n^2)<\infty$, then for a Martingale $E(X_n^2)<M$ iff $\sum_{n=1}^\infty E[(X_n-X_{n-1})^2]<\infty$
Let $$\{X_n\}_{n\geq0}$$ be a martingale with $$E(X_n^2)<\infty$$ for all $$n$$. How to prove that:
$$E(X_n^2) for all $$n$$, if and only if $$\sum_{n=1}^\infty E[(X_n-X_{n-1})^2]<\infty$$.
The hunch is to use ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4166 | # Theta ranges for trig substitution
My professor, when doing trig substitution in lecture, always defines theta between certain intervals and when he takes the square root, he adds an absolute value bar to the trig function and then makes sure its positive through the interval. For practical purposes, is it necessary... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4168 | # zbMATH — the first resource for mathematics
Stable extendibility of the tangent bundles over lens spaces. (English) Zbl 1140.55011
A real vector bundle over a subspace $$A$$ of a topological space $$X$$ is called stably extendible if there is a vector bundle over $$X$$ whose restriction to $$A$$ is stably equivalent... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4169 | # How do you use the pythagorean theorem to solve a=x-5 b=x 2 c=13?
##### 1 Answer
Apr 22, 2016
So acceptable value of x is 10
#### Explanation:
Here sides are
$a = x - 5$
$b = x + 2$
$c = 13$
Taking c as larger side i.e. hypotenuse
we can apply Pythagorean theorem
${a}^{2} + {b}^{2} = {c}^{2}$
$\implies {\left(x ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4170 | 8.10: Hypothesis Testing (4 of 5)
Learning Objectives
• Recognize the logic behind a hypothesis test and how it relates to the P-value.
Hypothesis testing appears in all upcoming modules. The process and the logic of the hypothesis test will always be the same, but the details will differ somewhat.
Every hypothesi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4171 | Hi,In BIDMAS (brackets, indices, division, multiplication, addition, subtraction) it shows plainly that indices have to happen prior to subtraction, for this reason why go -52=25? due to the fact that the real working (according to BIDMAS) have to put the square first and then placed the negative sign on, i m sorry wou... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4172 | # Fermat Prime?
Find all triples $$(p,n,k)$$ of positive integers, where $$p$$ is a Fermat's Prime, satisfying
$\large{p^n + n = (n+1)^k}$
Observation: a Fermat's Prime is a prime number of the form $$2^{\alpha} + 1$$, for $$\alpha$$ positive integer.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4173 | Copyright © University of Cambridge. All rights reserved.
## 'Slingshot' printed from http://nrich.maths.org/
### Show menu
A slingshot is a small projectile weapon which consists of a Y-shaped frame held in one hand, with two rubber strips attached to the uprights.
Rubber strips obey Hooke's law which says that wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4174 | # Mathematics. Teaching. And Epsilon.
• ## Dunwoody’s Accessibility Theorem – Day 2
Suppose G is a finitely presented group. Let us fix $$\mathcal{A}$$ – a favorite class of subgroups of G (closed under taking subgroups and conjugation). If G acts on an $$\mathcal{A}$$ – tree T, we have a graph of groups decompositio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4175 | # Highlighter CyanMagentaGreeenClear Highlights Headphones Calculators Resources
###### Question:
Highlighter
CyanMagentaGreeenClear Highlights
Calculators
Resources
### Josie and billy have dated so long that they often are able to finish each other sentences. although they think it's cute it can be beginning of wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4165 | Integer type: int32 int64 nag_int show int32 show int32 show int64 show int64 show nag_int show nag_int
Chapter Contents
Chapter Introduction
NAG Toolbox
# NAG Toolbox: nag_matop_real_gen_tridiag_lu (f01le)
## Purpose
nag_matop_real_gen_tridiag_lu (f01le) computes an $LU$ factorization of a real tridiagona... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24960 | View Single Post
P: 4 I want to submit a paper on proof of this formula, so can some one please tell whether this already exists or not? Let S’(A) be the set of elements in GF(p) such that S’(A) = {x/ O(x,p) = A}. Here A should be the factor of (p-1) and A>2, where p is prime, then ∑x = μ(A) + ½* T(A)*p; where the sum... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24961 | ## electricity
The cylindrical imaging drum of a photocopier is to have an electric field just outside its surface of 2.00 105 N/C. (a) If the drum has a surface area of 0.0610 m2 (the area of a 8 1/2 11 in. sheet of paper), what total quantity of charge must reside on the surface of the drum? (b) If the surface area ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24962 | # Marginal Distribution.
Consider a couple of real random variables $(X,Y)$ and $\mu_{X,Y}$ the induced probability distribution. Denote by $\mu_X$ and $\mu_Y$ the distributions of $X$ and $Y$.
Is it true that $$\int_{\mathbb{R}^2}f(x)\ d\mu_{X,Y}(x,y)=\int_{\mathbb{R}}f(x)d\mu_{X}\quad ?$$ This is true each time you... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24963 | TheInfoList
In
mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). It has no generally ...
, and particularly
topology s, which have on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24964 | ## anonymous one year ago help aggain plz
1. anonymous
@Agl202
2. Nnesha
first check is n=1 true statement or not ? substitute n for 1
3. anonymous
how do i do that
4. anonymous
sorry im really slow today i jsut got home from base
5. Nnesha
$n^2-n+2 =2$ substitute n for 1 do you get equal sides ?
6. anonymou... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24965 | # How to prove positive (semi-)definitness in matrix notation without numbers
I'd like to show that $$V[\hat\beta_{OLS}]-V[\hat\beta_{GLS}]=\sigma^2(X'X)^{-1}(X'\Omega X)(X'X)^{-1}-\sigma^2(X'\Omega X)^{-1}\geq 0$$ is positive (semi-) definite. $$\Omega$$ and $$X$$ are square-matrices. I know how to check for positive... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24966 | maths > commercial-arithmetics
Comparing Quantities
what you'll learn...
overview
Comparing Numbers : When comparing two or more numbers, statements like one is greater than or less than another do not provide the relative magnitutes or amounts. The formal ways to specify the comparison are ratios, proportions, and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24967 |
# 5.3E: Nonhomgeneous Linear Equations (Exercises)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
In Exercises [exer:5.3.1} –[exer:5.3.6} find a particular solution by the method used in Example 5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24968 | Connect with us
## How to Express 0.009 as a fraction?
Are you looking for answers to this question (How to Express 0.009 as a fraction?). Then you should follow steps that are mention below for the solution of this question (How to Express 0.009 as a fraction?).
Step 1: Any number divided by 1 equals the original n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24969 | # Relationship between cosh and cos
The following formula holds: $$\cosh(z)=\cos(iz),$$ where $\cosh$ is the hyperbolic cosine and $\cos$ is the cosine. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24970 | # mathematical-philosophy's questions - English 1answer
256 mathematical-philosophy questions.
### 55 Why hasn't mereology succeeded as an alternative to set theory?
I have recently run into this wikipedia article on mereology. I was surprised I had never heard of it before and indeed it seems to be seldom mentioned... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24971 | # Find $AC: CB$ in $\triangle XYZ$
Problem:
In $\triangle XYZ$, $XY = 4$, $YZ = 7$, and $XZ = 9$. Let $M$ be the midpoint of $\overline{XZ}$, and let $A$ be the point on $\overline{XZ}$ such that $\overline{YA}$ bisects angle $XYZ$. Let $B$ be the point on $\overline{YZ}$ such that $\overline{YA} \perp \overline{AB}$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24972 | # Hamiltonian path in directed graph
Let G be a directed graph such that every two vertices are connected by a single edge. How do I proof that such G has an hamiltonian path?
• Welcome to CS.SE! What have you tried? Where did you get stuck? We're happy to help you understand the concepts but just solving exercises f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24973 | # Linear Interpolation Calculator
Enter value of x1
Enter value of y1
Enter value of x2
Enter value of y3
Enter value of x3
y2 = 4.8
GENERATE WORK
## Linear Interpolation - work with steps
Input Data :
x1 = 2, y1 = 4, x2 = 3, x3 = 7, y3 = 8
Objective :
Find the value of y2 on a given line?
Formula :
y2 = (x2 - x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24974 | Nonagon
1,016pages on
this wiki
Regular nonagon
Edges and vertices 9
Schläfli symbols {9}
Coxeter–Dynkin diagrams
Symmetry group Dihedral (D9)
Area
(with t=edge length
$A = \frac{9}{4}t^2\cos\frac{\pi}{9}$$\simeq6.18182t^2$
Internal angle
(degrees)
140°
In geometry, a nonagon (or enneagon) is a nine-sided polygon.
T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24975 | # Find the length of the side of square with an area of 121 in2. a.484 in, b.30.25 in, c.11 in, d.6.5 in
Find the length of the side of square with an area of 121 in2. a.484 in, b.30.25 in, c.11 in, d.6.5 in
## This Post Has 4 Comments
The correct answer would have to be c
2. Expert says:
Th is not an attachment
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8016 | # Proof that a line cuts in half the area of a parallelogram iff it goes through the intersection of the diagonals?
I read a theorem in a book which says that a line bisects a parallelogram iff it goes through the intersection of the diagonals. The edge case of this is of course if the line is one of the diagonal whic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8017 | # Re: equivalent domain & range
From: Jerome Euzenat <Jerome.Euzenat@inrialpes.fr>
Date: Sun, 3 Mar 2002 18:16:11 +0100
Message-Id: <a05101400b8a6ec6370f4@[194.199.20.189]>
Hi,
In his message (equivalent domain & range) of 26/02/2002,
Michael Denny wrote:
>Is there a way in DAML+OIL to simply specify that the domain... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8018 | # Problem of the Week
## Updated at Jan 3, 2022 4:21 PM
For this week we've brought you this algebra problem.
How can we factor $$14{x}^{2}-7x-21$$?
Here are the steps:
$14{x}^{2}-7x-21$
1 Find the Greatest Common Factor (GCF).1 What is the largest number that divides evenly into $$14{x}^{2}$$, $$-7x$$, and $$-2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8019 | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: CK-12 Basic Probability and Statistics - A Short Course Go to the latest version.
# 5.3: Connecting the Standard Deviation and... |
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