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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3354 | # extending cusp forms
Let $E/F$ be a quadratic extension of number fields, and let $V$ be an $n$-dimensional Hermitian space over $E$.
Let $\tilde{G} := GU(V)$ and $G := U(V)$. Suppose that $(\pi, V_{\pi})$ is an irreducible cuspidal representation of $G.$
Is there an irreducible cuspidal representation $(\tilde{\p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3355 | If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
## AP®︎/College Calculus BC
### Course: AP®︎/College Calculus BC>Unit 6
Lesson 1: Exploring accum... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3358 | Addition and Multiplication of Well Orderings
Show if $\left \langle A , R \right \rangle , \left \langle B , S \right \rangle \in W O$ then the sum $\left \langle C , T \right \rangle \in W O$
Where $a T b \Leftrightarrow ( a \in A \wedge b \in B ) \vee ( a , b \in A \wedge a R b ) \vee ( a , b \in B \wedge a S b )$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18832 | ## Precalculus (6th Edition) Blitzer
The equation $x+y=7$ can be converted to a polar equation by replacing $x$ with $r\cos \theta \,$ and $y$ with $r\sin \theta$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18833 | Tag Info
4
Problem: Given Newton's second law $$\tag{1} m\ddot{q}^j~=~-\beta\dot{q}^j-\frac{\partial V(q,t)}{\partial q^j}, \qquad j~\in~\{1,\ldots, n\},$$ for a non-relativistic point particle in $n$ dimensions, subjected to a friction force, and also subjected to various forces that have a total potential $V(q,t)$,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18834 | Sides of a triangle
The line segments which form a triangle by the intersection of their endpoints are called sides of a triangle.
Introduction
The endpoints of three line segments are connected each other to form a closed geometric shape, known as triangle. Each line segment which plays a role in forming a triangle... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18836 | # Physics equations/Current and current density
## Electric current[1]
A simple electric circuit, where current is represented by the letter i. The relationship between the voltage (V), resistance (R), and current (I) is V=IR; this is known as Ohm's Law.
The SI unit for measuring an electric current is the ampere, w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18837 | Tags
Question
Population mean
where:
• N = [...]
• Xi = [...]
• ΣXi = [...]
the number of observations in the entire population
the ith observation
add up Xi, where i is from 0 to N
Tags
Question
Population mean
where:
• N = [...]
• Xi = [...]
• ΣXi = [...]
?
Tags
Question
Population mean
where:
• N = [...]
•... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18838 | # How do solve the following linear system?: 6 x+3y=11 , x+y=6 ?
Feb 10, 2016
$x = - \frac{7}{3}$, $y = \frac{25}{3}$
#### Explanation:
Please refer to some of my earlier replies. To solve a system of two linear equations in two variables you have to first eliminate one of variables.
The equations are $6 x + 3 y ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18839 | 621
Q:
# A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
A) 48 min. past 12. B) 46 min. past 12. C) 45 min. past 12. D) 47 min. past 12.
Answer: A) 48 min. past 12.
Explanation:
Time from 8 a.m. on a day to 1 p.m. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18840 | # Browse Dissertations and Theses - Statistics by Issue Date
• (1988)
Current achievement and aptitude test modeling--item response theory--is based on the overly-optimistic assumption of local independence: that examinee's responses to different test questions will be independent conditional ...
application/pdf
PDF... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18841 | # Upperbound on cardinality of product of two string sets at pairwise Hamming distance $> 1$
I am considering products $U\times V$ of subsets $U, V\subset \{0, 1\}^p$ with a pairwise Hamming distance greater than 1 : $\forall uv\in U\times V, D(u,v) \geq 2$.
Given $p$, I am looking for a good asymptotic upperbound on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18842 | # 0.3 1.4 displacement
Page 1 / 6
• Define position, displacement, distance, and distance traveled.
• Explain the relationship between position and displacement.
• Distinguish between displacement and distance traveled.
• Calculate displacement and distance given initial position, final position, and the path between... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18843 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Find a formula for the described function and state its domain.Express the area of an equilateral triangle as a function of the length of a side.
## Let the length of a side of the equilateral triangle b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18844 | # Angular Velocity Formula – Definition, Example & More
Angular velocity formula refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time. There are two types of angular velocity: orbital angular velocity and spin angul... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18845 | # What’s wrong with this reasoning that ∞∞=0\frac{\infty}{\infty}=0?
You can always break up $\infty/\infty$ into the left hand side, where n is an arbitrary number. However, on the left hand side $\frac{n}{\infty}$ is always equal to $0$. Thus $\frac{\infty}{\infty}$ should always equal $0$.
How do you know $0+0+0+0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18847 | # Finding limit/derivative
• March 25th 2008, 03:22 PM
theowne
Finding limit/derivative
I have two questions, both are kind of similar involving rationalization and I would appreciate if someone can push me in the correct direction.
The first is finding the limit of this:
sqrt(3x-5) - 4
x-7
And this is as limit x-> ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18835 | # 3.6 Absolute value functions (Page 2/3)
Page 2 / 3
If we couldn’t observe the stretch of the function from the graphs, could we algebraically determine it?
Yes. If we are unable to determine the stretch based on the width of the graph, we can solve for the stretch factor by putting in a known pair of values for ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18846 | Homework Help: {vectors}find the position vector of this
1. Mar 20, 2012
niekehecv
1. The problem statement, all variables and given/known data
a particle travelling in a straight line is located at the point (4, -2, 3) with the speed of 2 m/s at time t=0. the particle moves toward the point (6, 0, 9) with constant... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_224 | # How do we know logistic loss is a non convex and log of logistic loss in convex?
I'm currently learning machine learning logistic regression and I'm really confused with logistic loss. I know the formula for logistic loss is $$\displaystyle g(z)=\frac{1}{1+e^{-z}}$$ here $$z = W^TX_i$$
But I've read that this is a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_225 | 1.4k views
Identify the logic function performed by the circuit shown in figure.
1. exclusive OR
2. exclusive NOR
3. NAND
4. NOR
5. None of the above
edited | 1.4k views
+1
Simplify the given circuit:
0
there is one more easy method.
shaded region works as Two level OR And ;
now you need to do :
[x+(x'y')] And ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_226 | ×
KGP14D - Editorial
Editorialist: Lalit Kundu
MEDIUM
PRE-REQUISITES:
Dynamic Programming
PROBLEM:
Given interview time lengths and departure times of trains of K(<101) candidates, find the minimum number of candidates that'll miss their trains if we optimally schedule the interviews. Any interview cannot be pau... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_228 | # Question in material structure.
by M.masarwy
Tags: material, structure
P: 2 Assuming atoms pack together as hard spheres , find the largest intenstihal atom that can fit in a BCC arrangement of iron atoms . Take the radius of the irom atoms as 1,21 Å . Carry out the same calculations for an FCC arrangment of iron a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_229 | # Tetration Forum
You're currently viewing a stripped down version of our content. View the full version with proper formatting.
Hi,
in a thread in math.stackexchange.com (limit of a recursive function) I came over the question of what could be a closed form for
$
z_{k+1} = z_k - \frac 1{z_k}\\
z_0 = z \in \mathbb{R}\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_231 | # Newton's expansion for non-commutative quantities
1. Feb 3, 2014
### ShayanJ
You probably know that for two commutative quantities x and y,we have:
$(x+y)^n=\sum_{r=0}^n \left( \begin{array}{c} n \\ r \end{array} \right) x^{n-r} y^r$
Now I wanna know is there a similiar formula for the case when x and y don't comm... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_232 | # A number theory problem by jitendriya praharaj
Find the remainder when $2^{2014}$ is divided by 1000.
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_233 | # Homogeneous Differential Equations
## Introduction
Differential Equations are equations involving a function and one or more of its derivatives.
For example, the differential equation below involves the function $y$ and its first derivative $\dfrac{dy}{dx}$.
Let's consider an important real-world problem that pro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_235 | # On an optimal quadrature formula for approximation of Fourier integrals in the space L_2^(1)
This paper deals with the construction of an optimal quadrature formula for the approximation of Fourier integrals in the Sobolev space L_2^(1)[a,b] of non-periodic, complex valued functions which are square integrable with ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_236 | Mathematical Instruments
Book VII. Ch. IV.
# Of the Construction and Uses of Mercator’s Charts.
If the Degrees of Latitude are to be augmented as much as those of Longitude are found enlarged by making them equal to the Degrees of the Equinoctial, the Secants must be used, which increase in the same Proportion as the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_237 | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Graphs of Linear Equations
## Graph lines presented in ax+by = c form
Estimated8 minsto complete
%
Progress
Practice Graphs of Linear Equations
Progress
Estimated8 minsto complete
%
U... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_238 | # Math Help - need some explanation on integration
1. ## need some explanation on integration
Hello,
I'm trying to integrate the following:
$\int sin^4 x\cdot cos^5 x$
rewrite:
$sin^4x(cosx\cdot cos^4 x)$
$cos^2 x = (1-sin^2x)$
$cos^4 x = (1-sin^2x)^2 = 1-2sin^2x+sin^4x$
multiply together:
$sin^4x-2sin^6x+sin^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_239 | The average of six numbers is 32. If each of first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is ?
A. 35 B. 34 C. 31 D. 30 Answer: Option C
Show Answer
Solution(By Apex Team)
According to the question, First three numbers is increased by 2 = 3 × 2 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_227 | # Sound level problem
1. Oct 20, 2016
### ChloeYip
Introduction to environmental engineering
1. The problem statement, all variables and given/known data
A sound level reading of 132 dB was taken near a construction site where some
chippers were being used. When only one chipper was working, the sound level
readin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_234 | A zero-dimensional Hausdorff space is totally disconnected
The full question: A space is zero-dimensional if the clopen subsets form a basis for the topology. Show that a zero-dimensional Hausdorff space is totally disconnected. Recall a space is totally disconnected if the only connected subsets are singletons (one-p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_230 | # Finding positive integer solutions to functions with only positive integer input
For the equation
$f(x,y) = x^2/y$
given that $x$ and $y$ are integers
What is the easiest/fastest way to find at least one tuple $(x_0,y_0)$ solution to $f(x,y)=4$ or any other number really. I know that $(2,1)$ would work, but is th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20544 | Home > Error Bound > Taylor Series Error Formula
# Taylor Series Error Formula
## Contents
So our polynomial, our Taylor polynomial approximation would look something like this. Clicking on them and making purchases help you support 17Calculus at no extra charge to you. It'll help us bound it eventually so let me wr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20545 | ## Proving Ground Completeness of Resolution by Proof Planning
• A lot of the human ability to prove hard mathematical theorems can be ascribedto a problem-specific problem solving know-how. Such knowledge is intrinsicallyincomplete. In order to prove related problems human mathematicians, however,can go beyond the ac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20546 | ## Algebra 1
3 + 5q = 9 + 4q First, you need to get the variable (q) on one side of the equation, so subtract 4q from both sides of the equation. This will remove the q from the right side of the equation. 3 + 5q - 4q = 9 + 4q - 4q Simplify to get this: 3 + 1q = 9 Subtract 3 from each side. 3 + 1q - 3 = 9 - 3 Simplify... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20547 | # According to a study by Dr. John McDougall of his live-in weight
According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uni... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20548 | ## Elementary Geometry for College Students (6th Edition)
$MN=6$, $m\angle FMN=80^{\circ}$, $m\angle FNM=40^{\circ}$
$MN=6$ The mid-segment of a triangle is half the length of the base. If the base of the triangle is $12$, then the length of mid-segment $MN=6$. $m\angle FMN=80^{\circ}$ Given $m\angle FJH=80^{\circ}$. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20552 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$
Corollary 3.5.1.10. A simplicial set $X$ is finite if and only if the topological space $|X|$ is compact. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20553 | # nLab omega-category
### Context
#### Higher category theory
higher category theory
# Contents
## Idea
The term $\omega$-category is used more or less synonymous with ∞-category , though the two terms appear with different frequency in different parts of the literature.
Originally, $\omega$-categories were intr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20554 | ## Class files
L a T e X supports many worldwide languages by means of some special packages. In this article is explained how to import and use those packages to create documents in Portuguese .
## Introduction
Portuguese language has some accentuated words. For this reason the preamble of your file must be modifie... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20557 | # I know the value of the limit is −<!-- - --> <mstyle displaystyle="true" scriptlevel="0"
I know the value of the limit is $-\frac{1}{6}$. I tried to use the fact
$\mathrm{ln}\left(ab\right)=\mathrm{ln}\left(a\right)+\mathrm{ln}\left(b\right)$
You can still ask an expert for help
• Questions are typically ans... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20558 | # A Triangle inequality question
1. Jun 21, 2016
### LagrangeEuler
In the derivation of triangle inequality $$|(x,y)| \leq ||x|| ||y||$$ one use some $z=x-ty$ where $t$ is real number. And then from $(z,z) \geq 0$ one gets quadratic inequality
$$||x||^2+||y||^2t^2-2tRe(x,y) \geq 0$$
And from here they said that disc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20559 | # Math Help - probability
1. ## probability
We are having a debate in work,found your page and taught you might be
>able to help solve the debate, We have a small lottery in work. There are
>six numbers 1,2,3,4,5,6, We were wondering how many different combinations
>there would be with these numbers. It's a long time... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20549 | # Pure Birth Process Question
I would appreciate any possible help for this question because I have no clue what to do! Thanks so much!
Consider a population made of a fixed number (N) of people. At time t=0 there is only one infected individual and N-1 susceptible people in the population. When you get infected, you... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20550 | Random walk conditioned to stay positive
2000 Mathematics Subject Classification: Primary 60J10; secondary 60G50
Abstract
Given a random walk with mean zero and finite variance, the progress to infinity of the associated random walk conditioned to stay positive is studied through the sample path representation of Ta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20551 | # How do you simplify sqrt18/sqrt3?
##### 2 Answers
Jun 6, 2015
Knowing that $\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}$ then
$\frac{\sqrt{18}}{\sqrt{3}} = \sqrt{\frac{18}{3}} = \sqrt{6}$
Jun 6, 2015
You can take a one big square root:
$\sqrt{\frac{18}{3}} = \sqrt{6}$
Or:
Multiply and divide by $\sqrt{3}$:
$\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20555 | ## Editorial for System(0);
Remember to use this editorial only when stuck, and not to copy-paste code from it. Please be respectful to the problem author and editorialist.
Submitting an official solution before solving the problem yourself is a bannable offence.
We will talk about the more "observatory" solution. S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20556 | # when is rational function regular?
In general, how does one determine if a rational function is regular? I have the particular problem of determining in which points of the circle $V(x^2+y^2-1) \subseteq A^2$is the rational function $\alpha= \frac{y-1}{x}$ regular?
• For your example: no, because $(0, -1)$ is in th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16416 | # Python Coverage could be fast
Ned Batchelder’s coverage.py is a foundation of the Python testing ecosystem. It is solid, well maintained, and does its job extremely well. I think literally every Python project that cares about testing should be using it.
But it’s not without its faults. Specifically, its performanc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16417 | # How do you simplify -6 -3 (12- 2^3) ÷ 4 using PEMDAS?
Jul 24, 2016
$- 6 - 3 \left(12 - {2}^{3}\right) \div 4 = - 9$
#### Explanation:
PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. Hence we solve in this order - first parentheses, then exponents, then multipl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16418 | Math: discrete probability distribution
1. Feb 13, 2016
masterchiefo
1. The problem statement, all variables and given/known data
We ask a person to taste 18 biscuits , 8 made to butter ( the other 10 are made to margarine ) , and to identify 8 butter cookies . He does not know the exact number of butter cookies . A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16420 | # Thread: Range of trig function
1. ## Range of trig function
Find the range of $f(x)=\sin ^2 x (\sin (2x) +1)$.
Ideas?
2. What do you know about sine?
3. Well, enough to know that even though the range of sine is <-1;1>, the range of f will not be $1^2\cdot(1+1)$...
What else would be any help?
4. Originally Pos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16421 | ### F'arc'tion
At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.
### Plutarch's Boxes
According to Plutarch, the Greeks found all the rectangles with integer sides, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16422 | # Show subspace of normed vector is closed under sup norm.
1. Oct 15, 2012
### Greger
http://imageshack.us/a/img141/4963/92113198.jpg [Broken]
hey,
I'm having some trouble with this question,
For part a) I know that in order for c_0 to be closed every sequence in c_0 must converge to a limit in c_0 but I am havin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16425 | # Difference between stationary/non-stationary quantum states
1. Feb 21, 2016
### acdurbin953
1. The problem statement, all variables and given/known data
I apologize, this is not really a homework problem. I have an exam coming up, and I need to be able to explain the difference between a stationary/non-stationary ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16426 | ## k-path
### Set
context $V,E$ … set context $k\in\mathbb N$
definiendum $\langle V,E,\psi\rangle \in \mathrm{it}$
inclusion $\langle V,E,\psi\rangle$ … path
postulate $|\ E\ |=k$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16427 | ### Home > PC3 > Chapter 9 > Lesson 9.1.4 > Problem9-78
9-78.
Represent each system of equations below with matrices. Solve the system in part (c)? Homework Help ✎
1. \begin{aligned}p + 2q &= 7\\ 3p + 4q &= 11\end{aligned}
$\begin{bmatrix}1&2\\?&4\end{bmatrix}\begin{bmatrix}p\\?\end{bmatrix}=\begin{bmatrix}?\\11\e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16428 | # Distributed Gaussian Mean Estimation under Communication Constraints: Optimal Rates and Communication-Efficient Algorithms
We study distributed estimation of a Gaussian mean under communication constraints in a decision theoretical framework. Minimax rates of convergence, which characterize the tradeoff between the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16429 | 1. ## help with integral
In the solution, it is amazingly simple, but i don't understand why they do what they did.
2. Originally Posted by scorpion007
In the solution, it is amazingly simple, but i don't understand why they do what they did.
It is because of the symmetry of the cosine curve (actually the anti-symme... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16430 | ### Home > CC1 > Chapter 6 > Lesson 6.2.4 > Problem6-107
6-107.
Sketch the collection of algebra tiles that is described by the following expression. Rewrite the area of the collection by combining like terms. Homework Help ✎
$7x+2x^2+3x^2+3+x$
How many total x-tiles are there?
Circle any term that has only one x ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16431 | My Math Forum > Math Two-stage decoding based on Euclidean division
Math General Math Forum - For general math related discussion and news
June 8th, 2018, 02:43 PM #1 Newbie Joined: Jul 2016 From: Ames, IA Posts: 3 Thanks: 0 Two-stage decoding based on Euclidean division Define the following quantity: $$X=abs^{2\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16423 | # Find the Missing Number
Alignments to Content Standards: 1.OA.D.8
Find the missing number in each of the following equations: $$9 - 3 = \square \qquad \qquad 8 + \square = 15 \qquad \qquad 16 - \square = 5$$ $$\square = 7 - 2 \qquad \qquad 13 = \square + 7 \qquad \qquad 6 = 14 - \square$$
This task asks students to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16419 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
Trudy Inst. Mat. i Mekh. UrO RAN: Year: Volume: Issue: Page: Find
Tr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16424 | # Rotational motion: Expression for Angular Velocity
1. Nov 23, 2013
### NATURE.M
1. The problem statement, all variables and given/known data
A solid flywheel of radius R and mass M is mounted on a light shaft of radius r so that the axis of rotation is horizontal. A light, inelastic rope is wound around the drive ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1104 | 1. ## Evaluate the limit
In The first problem there was suppose to be a arrow instead of a @ sign.
Not sure where to start, need some help on all three, i'll update as soon as i can get started. Thx
2. Originally Posted by Johnny Walker Black
In The first problem there was suppose to be a arrow instead of a @ sign.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1105 | ×
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 79e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.1 - Problem 79e
×
# Show that a three-dimensional 2 n × 2n × 2 n checkerboard
ISBN: 9780073383095 37
## Solution for problem 79E... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1106 | # Math Help - Mean, Standard Deviation & Variance
1. ## Mean, Standard Deviation & Variance
I have 2 question which I'm stuck on. I get my $f$ and $x$ mixed up, I believe?
____________________
____________________
Q1: The following table shows the number of take-away meals eaten by a random sample of students durin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1107 | # Continuity in a normed space
Let $X$ be a normed space. Show that the function $f:X \to R$ defined by $f(x)=\|x\|$ is continuous on $X$.
-
I deleted my answer, just in case you're sitting an exam right now. Will undelete it in an hour. – Matt N. Oct 16 '12 at 16:22
Metric is Continuous - ProofWiki; Is a norm a con... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1108 | This is an old revision of the document!
## Lebesgue measurable subsets of ℝⁿ
### Definition
$p\in \mathbb N$
$\mathfrak L^p\equiv\{S\ |\ \eta^p(S)\in\overline{\mathbb R}\}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1109 | # Combinatorics
How many ways can you choose 12 doughnuts from 20 different types (assuming there are at least 12 of each type)?
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1111 | # Solving 27x2+-94x+73 using the Quadratic Formula
For your equation of the form "ax2 + bx + c = 0," enter the values for a, b, and c:
a x2 + b x + c = 0
Reset
You entered:
27x2+-94x+73=0.
There are two real solutions: x = 2.3121203192793, and x = 1.1693611622022.
## Here's how we found that solution:
You entere... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1114 | # Show that f is Riemann integrable
Let $f:[0,1] \rightarrow R$ defined by $f(x) = 2$ if $x = \frac{1}{n}$ for some $n∈ℕ$, $0$ otherwise. Determine if $f$ is Riemann integrable.
My attempt: Let $ε > 0$. Construct a partition P as follows: let $x_0 = 0, x_1 = ε$, and let $x_1, x_2, . . . , x_m = 2$ be a uniform partit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1115 | # Goldstein 3.3
1. Jul 15, 2009
### buttersrocks
1. The problem statement, all variables and given/known data
(Goldstein 3.3)
If the difference $$\psi - \omega t$$ in represented by $$\rho$$, Kepler's equation can be written:
$$\rho = e Sin(\omega t + \rho)$$
Successive approximations to $$\rho$$ can be obtained ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1118 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 19 Aug 2018, 16:40
### 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_1110 | Properties of Morphisms
This post is mainly mathematical. We left it out of our introduction to categories for brevity, but we should lay these definitions down and some examples before continuing on to universal properties and doing more computation. The reader should feel free to skip this post and return to it late... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1112 | # Find the average of all numbers between 6 and 34 which are divisible by 5
15
20
25
30
Please do not use chat terms. Example: avoid using "grt" instead of "great". |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1113 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
Eurasian Math. J.: Year: Volume: Issue: Page: Find
Eurasian Math. J.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1116 | # Confused with quadrants with Cos Tan Sin
1. May 9, 2006
### runicle
Okay can anyone tell me why is this true for restriction of 0 < x < 360
sin(x)=0.15, x = 8.6 and 171.4
cos(x)=-.655 x = 130 and 230
tan(x)=0.75, x = 36.9 and 216.9
I don't see a pattern or rule...
please co-ordinate me through the use of graphs i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1117 | # The length of a rectangle is 4 times its width x. If the rectangle is inscribed in a circle, how do you determine the area of the circle as a function of x?
Mar 13, 2018
$\pi \times \frac{17}{4} {x}^{2}$
#### Explanation:
Firstly, find the length of half a diagonal across the rectangle.
The length of a diagonal c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1119 | # Constructive mathematics and statistics [closed]
Usual non-constructive mathematics leads to some paradoxes (e.g. the Banach-Tarski paradox), which are directly related to the axiom of choice. In non-constructive mathematics, the axiom of choice (as well as proofs by contradiction) are not accepted.
For statistics,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21424 | # Kalman filter, model to matrix
1. Apr 2, 2015
### docsxp
I have my state vector containing
$$[X, Y, v_x, v_y, \theta, r, a_x, a_y, b_{\theta}]^T$$
and I have them related by
$$dX = v_x cos \theta - v_y sin \theta\\ dY = v_x sin \theta + v_y cos \theta\\ dv_x = a_x\\ dv_y = a_y\\ d\theta = r\\ dr = 0\\ da_x = 0\\ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21425 | # Homework Help: A little electronics question about logical gates
1. Dec 31, 2011
### Femme_physics
Last edited by a moderator: May 5, 2017
2. Dec 31, 2011
### ehild
Last edited by a moderator: May 5, 2017
3. Dec 31, 2011
### Femme_physics
Last edited by a moderator: May 5, 2017
4. Dec 31, 2011
### ehild
Re: ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21426 | ### Home > CALC > Chapter 5 > Lesson 5.3.1 > Problem5-115
5-115.
Ms. Platinum has a hit on her hands. A survey she commissioned showed that she could sell $100$ seats to her smashing new musical for $40$ each, and for each $1$ she drops the price, she could sell $10$ more seats. Too bad the theater she rented only se... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21427 | # The meaning of the relative strength of forces
1. Feb 26, 2009
### Tac-Tics
It's common to hear people say that gravity is a "weak force" and that it is "32 times weaker than the weak nuclear force." But what does that even mean, if it has any meaning at all. The gravity on a particle is proportional to its mass. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21429 | [SOLVED]2nd order to 1st order 2
dwsmith
Well-known member
\begin{alignat*}{3}
m\ddot{x} & = & -c(y)\sqrt{x^2+y^2}x\\
m\ddot{y} & = & -mg - c(y)\sqrt{x^2 + y^2}y
\end{alignat*}
where $c(y) = 0.25\text{N}\cdot\text{s}^2/\text{m}^4\cdot (15\text{cm})^2\exp(-y/(10000\text{m}))$
In order to re-write this as a system of 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21430 | # Convex combination
Assume that $I$ is a countable set, and we have $u_i\in \mathbb{R}^n$ for $i\in I$. Suppose that $v=\sum_{i\in I} a_i u_i$ and $\sum_{i\in I}a_i=1$ and $a_i\geq 0$.
Can one show that there exists a finite $J\subseteq I$ and $b_j$ for $j\in J$ such that $\sum_{j\in J}b_j=1$, $b_j\geq 0$, and $v=\s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21431 | # FREE AFOQT Math Practice Test
Welcome to our FREE AFOQT Math practice test, with answer key and answer explanations. This practice test’s realistic format and high-quality practice questions can help you succeed on the AFOQT Math test. Not only does the test closely match what you will see on the real AFOQT Mathemat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21432 | # Prove by introduction rules (P ⇒ Q) || (Q ⇒ R)⇒ (P NOT Q ⇒ R), (P ⇒ Q)⇒ !Q⇒ !P + more.
I've been given the following introduction proofs and I need to solve the following questions. There aren't yet any answers to the solutions so I was hoping for some help, to compliment the progress that I've made so far. I've sha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21433 | Recognitions:
Gold Member
## General Relativity: Prove that Four-Vector is 0
Quote by Dick I don't think that's very useful. The point is that (assuming this is special relativity where the metric tensor, ##g_{ab}## is constant), that ##U^i U_i=g^{ab} U_a U_b=-c^2##. Take the ##\frac{d}{d \tau}## of both sides and u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21434 | ## Publicly Accessible Penn Dissertations
#### Title
Inference for Approximating Regression Models
2014
Dissertation
#### Degree Name
Doctor of Philosophy (PhD)
Statistics
The assumptions underlying the Ordinary Least Squares (OLS) model are regularly and sometimes severely violated. In consequence, inferential... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21435 | # 6.A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Given that the 3 persons could rewire the house in 4 days and let x time is taken by 4 persons if used instead of three
Clearly we can see that mor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21437 | # Definition:Continued Fraction/Simple
## Definition
Let $\R$ be the field of real numbers.
### Simple Finite Continued Fraction
Let $n\geq 0$ be a natural number.
A simple finite continued fraction of length $n$ is a finite continued fraction in $\R$ of length $n$ whose partial quotients are integers that are str... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21438 | Explanation:
Let's look how much does the party cost for some numbers of children:
1. For 1 child the price would be $40 + 4 = 44$
2. For 2 children $40 + 8 = 48$
3. For $n$ children $40 + 4 n$
The formula in point 3. is a general formula to calculate cost of the party for $n$ children, so we can use it in our task.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21436 | # Homogeneity Question
1. Jan 26, 2008
### coffeebean51
Hi, can a homogeneous equation be homogeneous to the 5/2 degree? Must it be a integer degree?
2. Jan 27, 2008
### coomast
Hello coffeebean51, welcome to this forum.
Your question involves non-linear differential equations. The power 5/2 makes the equation n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21428 | # Why "plug in numbers" when solving inequality?
Let me use this example,
Solve $x^3-4x>0$
After factorization, we have $$(x+2)x(x-2)>0$$, in order to have product of several numbers positive, even(0,2,4,...) of them have to be negative numbers. In this case, none of them is negative or two of them are negative, we ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21439 | # Problem: Write an equation for the autoionization of water and an expression for the ion product constant for water (Kw). What is the value of Kw at 25˚C?
⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.
###### Problem Details
Write an ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5632 | Question
# A share of ABC stock was worth $60 in 2005 and only worth$45 in 2010. a. Find the multiplier and the percent decrease. b. Write an exponential functi
Exponential models
A share of ABC stock was worth $60 in 2005 and only worth$45 in 2010. a. Find the multiplier and the percent decrease. b. Write an exponen... |
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