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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24698 | # nLab model category theory - contents
model category
## Model structures
for ∞-groupoids
### for $(\infty,1)$-sheaves / $\infty$-stacks
Last revised on September 25, 2020 at 11:33:18. See the history of this page for a list of all contributions to it. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24701 | ### Theory:
We will learn how to find the solutions to the pair of equations that are not linear but are reducible to a pair of linear equations.
Let us discuss the solution of such a system of equation using an example.
Example:
Consider the following pair of equations:
$$2x + 3y = 5xy$$ ……$$(1)$$
$$x + 3y = 7xy$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24690 | MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
Kulkarni (Americal American J of Math, 113, 6, 1053-1133) gives a method to compute nice fundamental domains for the action of subgroups on $SL_2(\mathbf{Z})$ on the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10224 | # Darboux Theorem Proof
http://en.wikipedia.org/wiki/Darboux%27s_theorem_%28analysis%29
I'm having a bit of trouble understanding the proof of Darboux's Theorem on the IVP of derivatives.
Why should there be an extremum such that $g'(x) = 0$ from the fact that $g'(a)>0$ and $g'(b)<0$ ?
-
What is $g$? The wikipedia ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10225 | # Integrate $\int_{-\infty}^{\infty}\exp\left(-\frac{\pi^2t(2x+1)^2}{2c^2}\right)\cos\left(\frac{(2x+1)\pi y}{c}\right)\exp(-2\pi i kx)dx$
By the poisson summation formula we have:
$$\frac{1}{c}\sum\limits_{k=-\infty}^{\infty} \exp\left(-\frac{\pi^2t(2k+1)^2}{2c^2}\right)\cos\left(\frac{(2k+1)\pi y}{c}\right)\\=\frac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10226 | # What are the factors of 2m^3+3m^2+4m+6?
Nov 9, 2014
$2 {m}^{3} + 3 {m}^{2} + 4 m + 6$
by factoring ${m}^{2}$ out of the first two terms and $2$ out of the last two terms,
$= {m}^{2} \left(2 m + 3\right) + 2 \left(2 m + 3\right)$
by factoring out $2 m + 3$,
$= \left({m}^{2} + 2\right) \left(2 m + 3\right)$
Henc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10227 | # geometry
If XC = CY then C is the midpoint of XY
1. 👍 0
2. 👎 0
3. 👁 147
1. Yes.
1. 👍 0
2. 👎 0
👩🏫
Ms. Sue
## Similar Questions
For each graph, find (a)AB to the nearest tenth and (b)the coordinates of the midpoint of AB. 1. Coordinates are A(-9, -6) B(6,6) D=19.2 Midpoint=(1.5,-6) 2.A(-2,-2) B(8,-6) D=10.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10228 | EN FR
• Legal notice
• Accessibility - non conforme
New Software and Platforms
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Bibliography
## Section: Research Program
### Algorithmic Differentiation
Participants : Laurent Hascoët, Valérie Pascual, Ala Taftaf.
Glossary
algorithmic diffe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10229 | # What exactly state is in Model Checking
So I finally realized the difference between transition systems and automata, and now am closer to understanding Model Checking. One of the last pieces is understanding what exactly "state" is in Model Checking.
It is mentioned that you create a Kripke Structure, which is pre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10230 | Try out our new practice tests completely free!
Solved
# Use the Given Set of Points to Compute the Predicted $\hat { y }$
Question 86
Multiple Choice
Question 86
Multiple Choice
## Use the given set of points to compute the predicted value $\hat { y }$ for the given value of x .$\begin{array} { l | l l l l l l } x ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10231 | # In the circuit shown, charge on the $5 mu mathrm{F}$ capacitor is :
Question:
In the circuit shown, charge on the $5 \mu \mathrm{F}$ capacitor is :
1. (1) $18.00 \mu \mathrm{C}$
2. (2) $10.90 \mu \mathrm{C}$
3. (3) $16.36 \mu \mathrm{C}$
4. (4) $5.45 \mu \mathrm{C}$
Correct Option: 1
Solution:
Let $q_{1}$ an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10232 | # Complex-Linear Matrices and C-Linear Transformations ... Tapp, Propostion 2.5 ... ...
#### Peter
##### Well-known member
MHB Site Helper
I am reading Kristopher Tapp's book: Matrix Groups for Undergraduates.
I am currently focused on and studying Section 1 in Chapter2, namely:
"1. Complex Matrices as Real Matrice... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10234 | Taking a conjecture about identities to college
Alex Wilkie is a Fellow of the Royal Society, and holds the Fielden Chair in Mathematics at the University of Manchester. Ken knew him at Oxford in 1981—1982 and again from 1986. In 1993 Wilkie won the Karp Prize of the Association of Symbolic Logic, equally with Ehud Hr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10235 | Write the number of points of intersection of the curves 2y
Question:
Write the number of points of intersection of the curves $2 y=-1$ and $y=\operatorname{cosec} x$.
Solution:
Given;
$2 y=-1$ and $y=\operatorname{cosec} x$
Now,
$2 y=-1 \Rightarrow y=-\frac{1}{2}$
Also,
$\operatorname{cosec} x=y$
$\Rightarrow... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10236 | # Math Help - Logarithms
1. ## Logarithms
$log_5 326$
$\frac{log\; 326}{log\; 5}$
$3.596$
is this right?
2. Yep.
3. Originally Posted by R3ap3r
$log_5 326$
$\frac{log\; 326}{log\; 5}$
$3.596$
is this right?
Indeedy it is!
4. Hello, R3ap3r!
$\log_5 326 \;=\;\frac{\log326}{\log5} \;=\;3.595601506 \;\approx\;3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10237 | ## Algebra 1
A rational number is any number that can be represented by the quotient of two integers. The number $\frac{1}{3}$ is the quotient of $1$ and $3$, which are both integers. Therefore, it is a rational number. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10238 | Consider the following amplitude modulated signal: s(𝑡) = cos(2000 𝜋𝑡) + 4 cos(2400 𝜋𝑡) + cos(2800 𝜋𝑡).The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is ________.
Signal Power MCQ Question 1 Detailed Solution
Concept:
For a single tone sinuso... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10239 | ## Differential branching fraction and angular analysis of Lambda(0)(b) -> Lambda mu(+)mu(-) decays
The differential branching fraction of the rare decay Lambda(0)(b) -> Lambda mu(+)mu(-) is measured as a function of q(2), the square of the dimuon invariant mass. The analysis is performed using proton-proton collision... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10233 | # Relationship between cosine, Gudermannian, and sech
The following formula holds: $$\cos(\mathrm{gd}(x))=\mathrm{sech}(x),$$ where $\cos$ denotes the cosine, $\mathrm{gd}$ denotes the Gudermannian, and $\mathrm{sech}$ denotes the hyperbolic secant. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7808 | Latest release
# Australian Industry methodology
Reference period
2018-19
Released
29/05/2020
Next release Unknown
Previous releases
## Explanatory notes
### Introduction
This publication presents estimates of the economic and financial performance of Australian industry in 2018-19. The estimates are produced annu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7809 | PSAT Math : How to find the volume of a cone
Example Questions
Example Question #3 : Cones
An empty tank in the shape of a right solid circular cone has a radius of r feet and a height of h feet. The tank is filled with water at a rate of w cubic feet per second. Which of the following expressions, in terms of r, h,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7810 | ## Intermediate Algebra for College Students (7th Edition)
$\left(x^6\right)^{10}=x^{60}$
RECALL: The power rule of exponents states that: $\left(a^{m}\right)^n=a^{mn}$ Use the power rule to find: $\left(x^6\right)^{10}=x^{6(10)}=x^{60}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7811 | Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up? New to KöMaL?
# Problem P. 4478. (November 2012)
P. 4478. A cyclist is riding his bicycle all out while he goes uphill at a speed of v1=12 km/h, and he can go downhill, on the same slope, at a speed of v2=36 km/h. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7812 | # Tag Info
3
For simplicity, assume the probability measure can be represented by a density $p(u)$. Then we want to find $g(x)$ to solve: $f(r) = \int_{-\infty}^{\infty} g(\alpha r + u)p(u)du$ (for all $r \in \mathbb{R}$) This reminds me of a convolution. So define: $y(x)=g(-x)$, with Laplace transform $Y(s)=\int_{-\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7813 | ## Elementary Technical Mathematics
$$v_0= 2 v-v_f .$$
We have: $$v=\frac{v_f+v_0}{2}$$ We multiply both sides by $2$ and then group the like terms: $$2v=\frac{v_f+v_0}{2}2\Longrightarrow2 v=v_f+v_0\Longrightarrow v_0= 2 v-v_f .$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7814 | # Closing Aubry sets II
created by figalli on 19 Jul 2013
[BibTeX]
Accepted Paper
Inserted: 19 jul 2013
Last Updated: 19 jul 2013
Journal: Comm. Pure Appl. Math.
Year: 2013
Abstract:
Given a Tonelli Hamiltonian $H:T^*M \rightarrow \R$ of class $C^k$, with $k\geq 4$, we prove the following results: (1) Assume the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7815 | # Among any $2n$ consecutive integers below $n^2+2n$ at least one has no prime divisor less than $n$?
What is your idea about my conjecture?
Consider a sequence of $2n$ consecutive natural numbers, all the terms less than $n^2 + 2 n$. Then there exists at least one number in the sequence which is not divisible by any... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7816 | If the sum of four number in A.P. be 48 and that the product of th | Filo
Class 11
Math
Algebra
Sequences and Series
541
150
If the sum of four number in $$A.P.$$ be $$48$$ and that the product of the extremes is to the product of the means is $$27$$ to $$35$$ then the number are-
1. $$3, 9, 15, 21$$
2. $$9, 5, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7817 | Homework Help: How to prove Chepyshev's polynomials generating function identity?
1. Dec 21, 2006
aligator123
(1-xt)/(1-2xt+t^2)=sum(Tn(x)t^n)
How can i prove this equation?
Could you give me a hint or suggestion?
2. Dec 21, 2006
aligator123
?????????????????
3. Dec 21, 2006
dextercioby
What's the definition ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7819 | ## anonymous 5 years ago how do you find the volume of the region defined by y = sqrt(x), y = 0 and x = 6 when the region is revolving around the line x = 6?
1. amistre64
you can do areas of circles then.... pi {S} [sqrt(x)]^2 dx ; [0,6]
2. amistre64
pi x^2 ------ at 6 = 18pi 2
3. amistre64
sooo close... i forgot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7820 | ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)
# short sums of characters
## Distribution of Values of Dirichlet Characters in the Sequence of Shifted Primes
The new estimate for the sum of the values of a primitive Dirichlet character modulo an integer q has been obtained over the sequence of shifted primes p − l, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7821 | you are viewing a single comment's thread.
[–][S] 0 points1 point (17 children)
sorry, this has been archived and can no longer be voted on
How about |A| >= |B|, where everything else remains the same? Could, then, "nonempty" be replaced by "infinite"?
Thanks.
[–] 0 points1 point (16 children)
sorry, this has b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7822 | # the set A ∪ C .
### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
#### Solutions
Chapter 1.1, Problem 41E
(a)
To deter... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7823 | # Multiplication of Literals
A mathematical approach of multiplying two or more literal numbers for calculating their product is called the multiplication of literals.
## Introduction
You learned how to multiply two or more numbers in arithmetic mathematics. You are about to study how to multiply a literal by anothe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7818 | ×
# Constructing a triangle given three circles
Given three co-planar, concentric circles of radii,$$r_{1}$$ $$r_{2}$$ $$r_{3}$$ ,how can one construct an equilateral triangle such that each vertex of the triangle lies on a different circle.
Assume that the radii are given such that a solution is possible |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17264 | Special issue on Selected papers from the Twenty-sixth International Symposium on Graph Drawing and Network Visualization, GD 2018 Pole Dancing: 3D Morphs for Tree Drawings Vol. 23, no. 3, pp. 579-602, 2019. Regular paper. Abstract We study the question whether a crossing-free 3D morph between two straight-line drawing... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17268 | • anonymous
the price if lettuce was $1.25 one week and$1.50 the next week. find the percent of increase. can someone help me
Mathematics
Looking for something else?
Not the answer you are looking for? Search for more explanations. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17269 | Question 1: Find $f+g, f-g, cf (c \in R, c \neq 0), fg,$ $\frac{1}{f}$ and $\frac{f}{g}$ in each of the following:
i) $f(x) = x^3 + 1$ and $g(x) = x + 1$ ii) $f(x) = \sqrt{x-1}$ and $g(x) = \sqrt{x+1}$
i) Given $f(x) = x^3 + 1$ and $g(x) = x + 1$
$f+g : R \rightarrow R$ is given by
$(f+g)(x) = f(x) + g(x) = x^3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17270 | # evaluating functions from a graph
Functions are written using function notation. Site Navigation. Up Next. Evaluating Functions | Graph. Define the domain of functions from graphs; One-to-one functions; Use the horizontal line test to determine whether a function is one-to-one; Functions are a correspondence between... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17271 | YAY! Cubics are divisible by non-roots!
Find the sum of all positive integers $x$ such that
$x + 3 \mid x^3 + x^2 + x + 1$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17273 | Why Scientific Realism might be false?
Recommended Posts
Actually, this is getting quite stupid, immortal. The consistent inablility of concentrative logical anaysis is tripping you at every single turn, it seems. All the talk about quantum studies, research results (which I read up on too, of course, though much les... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17274 | The function
Question:
The function $f(x)=\sum_{r=1}^{5}(x-r)^{2}$ assumes minimum value at $x=$
(a) 5
(b) $\frac{5}{2}$
(c) 3
(d) 2
Solution:
(c) 3
Given : $f(x)=\sum_{r=1}^{5}(x-r)^{2}$
$\Rightarrow f(x)=(x-1)^{2}+(x-2)^{2}+(x-3)^{2}+(x-4)^{2}+(x-5)^{2}$
$\Rightarrow f^{\prime}(x)=2(x-1+x-2+x-3+x-4+x-5)$
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17275 | ## A Multiplication Based Logic Puzzle
### 810 Stick and Stone
Print the puzzles or type the solution on this excel file: 10-factors 807-814
One of my education professors taught that you can teach any concept with a picture book.
I recently read the book, Stick and Stone, to a class of 6th graders. Yes, 6th grader... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17276 | # Inverse Trigonometric Functions – Problems
## Inverse Trigonometric Functions – Problems
If a function is one – one and onto from A to B, then function g which associates each elements y ϵ B to one and only one element x ϵ A such that y = f(x), then g is called the inverse function of f, denoted by x = g(y).
g = f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17277 | # 7.4: Distribution Needed for Hypothesis Testing
Earlier, we discussed sampling distributions. Particular distributions are associated with hypothesis testing.We will perform hypotheses tests of a population mean using a normal distribution or a Student's $$t$$-distribution. (Remember, use a Student's $$t$$-distribu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17278 | # Thread: Calculate the area of a part of a function
1. ## Calculate the area of a part of a function
Hi!
y=x^2-12x+36.36
Find all squares that has 2 points on this function and 2 points on the x axis.
I thought this task with using simply y=x^2
To find at which point there is a square I thought a simple equation: 2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17265 | # How to correctly write arguments in Predicate Logic?
Consider the statement
No-one is right all the time
I have a question which requires me to express this in terms of predicate logic. I have attempted this by first defining the following predicates:
\begin{align*} &\underline{P}(x) : \text{ $x$ is a person} \\ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17266 | # Raising things to i power, I came across 4.8104773809655
by SteveRives
Tags: power, raising, things
Sci Advisor HW Helper P: 1,123 For: $$x^i = i$$ The solutions for x are: $$e^{\frac{\pi}{2} + n\pi} \quad \forall n \in \mathbb{Z}$$ So if you hadn't already guessed: $$e^{\frac{\pi}{2}} \approx 4.8104773809653516554... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17267 | Power iteration method
The power iteration algorithm is a numerical approach to computing the top eigenvector and eigenvalue of a matrix.
Background
Consider a diagonalizable matrix $A \in \mathbb{R}^{n \times n}$ with eigenvalue decomposition
$A = V \Lambda V^{-1}.$
In this notation, the columns of $V$ contains t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17272 | Weak \omega-Regular Trace Languages
# Weak ω-Regular Trace Languages
Namit Chaturvedi RWTH Aachen University, Lehrstuhl für Informatik 7, D-52056 Aachen 11email: {chaturvedi,gelderie}@automata.rwth-aachen.de Marcus Gelderie RWTH Aachen University, Lehrstuhl für Informatik 7, D-52056 Aachen 11email: {chaturvedi,gel... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_17279 | Subtracting Integers
Multiplying Integers
Dividing Integers
Solving Equations with Integers
Solve. -7 + -7
What is -14?
Solve. 5 - 13
What is -8?
Solve. -2 x -2
What is 4?
Solve. -2 / 2
What is -1?
### 100
Solve the equation by finding the value of r. r + 9 = -15
What is -24?
### 200
Solve. 18 + (-13)
What is 5... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22130 | # Logarithm Depreciation Word Problem
Tags:
1. May 10, 2015
### Morgan Chafe
1. The problem statement, all variables and given/known data
A vehicle purchase for $32,000 depreciates at a rate of 75% every 6 years. Another vehicle purchased for$16,000 depreciates at a rate of 50% every 4 years. Create an exponential ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22131 | # conjecture about Totient summatory function
(I am sorry that I am poor at English)
Definition of Totient summatory function $\Phi \left ( n \right )$ is
$\Phi \left ( n \right )= \sum_{k=1}^{n}\varphi \left ( k \right )$
For a large number $n\geq 1$, I guess
$\frac{\Phi\left (n \right ) }{p_{n}} \sim \alpha n+\b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22132 | An increasing number of books and journal articles do not include the attachment “free”, referring to G as simply Free Power energy (and likewise for the Helmholtz energy). This is the result of Free Power Free Power IUPAC meeting to set unified terminologies for the international scientific community, in which the adj... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22133 | # Changing variables in integral to avoid infinity
I want to write a code in Fortran to solve this integral numerically: $$\int_{1095}^\infty \frac{dx}{x\sqrt{(x+644.153)(4.17 \cdot 10^{-5} x+0.145)}}$$ What is the best method for it?
I tried Monte-Carlo and RK4 but I had to put a big number instead of infinity.
To ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22135 | ## Calculus 8th Edition
$$f'(x)=\frac{2x+2x^2}{(1+2x)^2}$$ $$f''(x)=\frac{2}{(1+2x)^3}$$
$$f(x)=\frac{x^2}{1+2x}$$ Differentiating with respect to $x$, using quotient's rule, $$f'(x)=\frac{(2x)(1+2x)-x^2(2)}{(1+2x)^2}=\frac{2x+2x^2}{(1+2x)^2}$$ Differentiating again with respect to $x$, using quotient's rule, $$f''(x)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22136 |
# 9.9: The Matrix of a Linear Transformation
Learning Objectives
1. Find the matrix of a linear transformation with respect to general bases in vector spaces.
You may recall from $$\mathbb{R}^n$$ that the matrix of a linear transformation depends on the bases chosen. This concept is explored in this section, where ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22137 | # 英国代考|MATH0005 Algebra 1代数 1
Proof
(a) Suppose that $\mathbf{o}$ is also a zero element for $V$. Then $0+\mathbf{a}=\mathbf{a}$ for all $\mathbf{a} \in V$ by $V 2$, and $\mathbf{b}+\mathbf{0}=\mathbf{b}$ for all $\mathbf{b} \in V$, also by $V 2$. In particular, putting $\mathbf{a}=\mathbf{0}$ and $\mathbf{b}=\mathbf{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22138 | Diese Unabhängigkeit ermöglicht uns einen objektiven Blick auf Ihr Anliegen. By definition, the value-weighted average of all market-betas of all investable assets with respect to the value-weighted market index is 1. In Ancient Greek, beta represented the voiced bilabial plosive /b/. Investopedia requires writers to u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22139 | # How to calculate the energy freed in the reaction: $^{10}_5Be +\space ^2_1H \rightarrow \space^{11}_5B + \space ^1_1H$?
I have the following reaction: $^{10}_5\mathrm{Be} +\space ^2_1\mathrm{H} \rightarrow \space^{11}_5\mathrm{B} + \space ^1_1\mathrm{H}$
And I know that I have to use the formula: $E = \Delta m\cdot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22140 | Home > APCALC > Chapter 8 > Lesson 8.1.3 > Problem8-28
8-28.
Sketch each region contained by the boundaries below. Decide if you should use horizontal or vertical rectangles to calculate each area. Then, set up and evaluate an integral to calculate the area. Check your solution with your calculator.
1. $y =\sqrt { x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22141 | show · cmf.analytic_rank all knowls · up · search:
The analytic rank of a cuspidal modular form $f$ is the analytic rank of the L-function $L(f,s) = \sum_{n\ge 1} a_nn^{-s}$ where the $a_n$ are the complex coefficients that appear in the $q$-expansion of the modular form: $f(z)=\sum_{n\ge 1}a_nq^n$, where $q=e^{2\pi i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22142 | # How do you convert r=6cosθ into a cartesian equation?
Aug 16, 2015
I found the equation:${x}^{2} + {y}^{2} - 6 x = 0$ which represents a circle.
#### Explanation:
Consider the connection between Cartesian and Polar:
$r = \sqrt{{x}^{2} + {y}^{2}}$
$\theta = a r c r \tan \left(\frac{y}{x}\right)$
And:
$x = r \cos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22143 | # propositional logic , don't know the answer
Is the assertion "This statement is false" a proposition?
I think that it is a proposition because this("This Statement is false") may have truth values. the statement may be true or maybe false. therefore its proposition. but i don't know if i am correct. please correct ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22128 | 10,666 Pages
The googolplexiduexitrex is equal to \( 10\uparrow\uparrow\uparrow\)googolplexiduex using arrow notation.[1] The term was coined by Wikia user Username5243.
• In Bird's array notation, it would be equal to \([10,[10,[10,[10,100] ],2],3]\). (Trivially, this is \(\{10,\{10,\{10,\{10,100\}\},2\},3\}\) in BE... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22129 | # Geometric Decompositions
A remarkable theorem involving decompositions is that if one has two plane simple polygons of the same area, it is possible to decompose either of the polygons into polygonal pieces that can be reassembled to form the other polygon…
# Geometric Decompositions
Joe Malkevitch
York College (C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22134 | Contents
category theory
# Contents
## Terminology
A twisted arrow category is an alternative name for a category of factorisations. That latter name is applied when discussing natural systems and Baues-Wirsching cohomology, whilst the name twisted arrow category is more often used in discussing Kan extensions and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_848 | # Connected Graphs
I want to know if you could could help me in establishing a proof for connected graphs?
The question is prove that a finite graph $$G= (V,E)$$ satisfying the inequality $$|E|> \frac{(|V|-1)(|V|-2)}{2}$$ is connected.
I have the basic knowledge of what a finite graph is and what a connected graph i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_849 | As things turned out, Planck’s hypothesis was the seed from which modern physics grew. It wasn't until Einstein and others used quantum theory for even further advancements in physics that the revolutionary nature of his discovery was realized. Max Planck was a German physicist who is regarded as the founder of the qua... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_851 | ## 2.1 The Limit of a Function and Limit Laws
### Learning Objectives
• Using correct notation, describe the limit of a function.
• Use a table of values to estimate the limit of a function or to identify when the limit does not exist.
• Use a graph to estimate the limit of a function or to identify when the limit do... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_852 | Card_Trick_Problem_Set_Solutions_Trial_Data
# Card_Trick_Problem_Set_Solutions_Trial_Data - First number...
This preview shows pages 1–2. Sign up to view the full content.
First number on the sublist is the hidden card (card 3 8) (done, count 56, calculated combinations 56) (8 6 7)(8 5 7)(8 5 6)(7 6 5)(8 4 7) (8 4 6... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_853 | # A flux 1.2 mWb exerts in a magnet having a cross-section of 30 cm2. The flux density in tesla is
This question was previously asked in
ESE Electronics 2012 Paper 1: Official Paper
View all UPSC IES Papers >
1. 4
2. 0.4
3. 2.5
4. 40
Option 2 : 0.4
Free
CT 3: Building Materials
2962
10 Questions 20 Marks 12 Mins
## ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_855 | distributive property with variables and exponents
Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. The videos are a little silly and star a group of junior high aged kids. Jul 22, 2020 - Properties Of Exponents Worksheet Answers. Some of th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_856 | Fraction notation
Fractions (or common fractions) are used to describe a part of a whole object. There are several notations for fractions:
a is called the numerator and b is called the denominator. The notation means that we break an object into b equal pieces and we have a of those pieces. The portion or fraction o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_857 | # Volume of a sphere
CCSS Math: HSG.GMD.A.3
## Video transcript
Find the volume of a sphere with a diameter of 14 centimeters. So if I have a sphere-- so this isn't just a circle, this is a sphere. You could view it as a globe of some kind. So I'm going to shade it a little bit so you can tell that it's three-dimens... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_859 | # 1 Ampere is
1. 10 CS-1
2. 10CS-1
3. 1 CS-1
4. 10-2 CS-1
Option 3 : 1 CS-1
## Detailed Solution
CONCEPT:
Electric current:
• The flow of electric charges through a conductor constitutes an electric current.
• Quantitatively, electric current in a conductor across an area held perpendicular to the direction of fl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_861 | # Bessel Function of the First Kind of Negative Integer Order
## Theorem
Let $\map {J_n} x$ denote the Bessel function of the first kind of order $n$, where $n$ is a positive integer.
Then:
$\map {J_{-n} } x = \paren {-1}^n \map {J_n} x$
## Proof
$\displaystyle \map {J_{-n} } x$ $=$ $\displaystyle \dfrac 1 \pi \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_863 | # Time and Work Aptitude Questions and Answers:
#### Overview:
Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Time and Work Aptitude Questions and Answers. Number of Questions: 10 Questions with Solutions.
1. P is twice as efficient a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_850 | Solving for x. How?
• May 17th 2009, 05:22 PM
dwat
Solving for x. How?
I have an equation that I need to solve for x in which i have no clue of how to solve it
0 = 80x(500^2+x^2)^(-1/2) - 50
• May 17th 2009, 05:36 PM
skeeter
Quote:
Originally Posted by dwat
I have an equation that I need to solve for x in which i ha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_858 | Using the Simplex Method to Solve A Standard Maximization Problem
The basic algorithm for solving a standard maximization problem is covered in Section 4.3. This process, called the Simplex Method, uses matrices and row operations to gauge whether an objective function is maximized at corner points.
In the example be... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_860 | # Math Help - limits proof
1. ## limits proof
prove from the definition whether limit exists or not
$\lim_{x \to 0} cos(\frac{1}{x})$
any idea how to start?
2. As $\displaystyle x \to 0, \frac{1}{x} \to \infty$.
The cosine function oscillates between $\displaystyle [-1, 1]$, so there is not a limiting value.
3. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_862 | # Verma module
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.
Verma modules can be used to prove that an irreducible highest weight module with highest weight ${\displaystyle \lambda }$ is finite-dimensional, if and only if the weight ${\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_854 | # Solving for unknown tensions
http://users.on.net/~rohanlal/Q50.jpg [Broken]
The weight of the engine is known and so are angles B and C.
I need to determine the tension in the chain AB and the compressive force acting in the spreader bar BC.
What I want to know is:
1. Is it possible to make a force triangle of the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4800 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Definition 7.5.4.8 (Homotopy Limit Diagrams of Simplicial Sets). Let $\operatorname{\mathcal{C}}$ be a small category. We say that a functor $\overline{\mathscr {F}}: \operatorname{\mathcal{C}}^{\triangleleft } \rightarrow \operatorname{Set_{\D... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4801 | ## Precalculus (6th Edition) Blitzer
The required value is $x=3,y=1$
We have to multiply the second equation with 2 and then subtract this from the first equation: \begin{align} & 4x+3y-2\left( 2x-5y \right)=15-2\left( 1 \right) \\ & 4x+3y-4x+10y=15-2 \\ & 13y=13 \\ & y=1 \end{align} Substitute the value of $y=1$ in t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4802 | 128 views
There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4804 | # Let $A\in M_n(\mathbb{C})$ be an invertible and non-diagonalizable matrix. Prove that for all $k\ge 1 \Rightarrow A^k$ is not diagonalizable.
Let $A\in M_n(\mathbb{C})$ be an invertible and non-diagonalizable matrix. Prove that for all $k\ge 1 \Rightarrow A^k$ is not diagonalizable.
Hi all. Since $A$ is over $\math... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4806 | # Can a random product state be expressed as a MPS (Matrix product state)?
$$|\psi\rangle = \prod_{i=1}^{N}|s_{i}\rangle$$ where, $$|s_{i}\rangle = \cos\left (\frac{\theta_{i}}{2}\right )|\uparrow_{i}\rangle + \exp{(i\phi_{i})}\sin\left (\frac{\theta_{i}}{2}\right )|\downarrow_{i}\rangle$$. $$\theta_{i}$$ and $$\phi_{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4807 | My Math Forum can someone help me solve this...simple
Algebra Pre-Algebra and Basic Algebra Math Forum
February 14th, 2010, 05:46 PM #1 Newbie Joined: Feb 2010 Posts: 3 Thanks: 0 can someone help me solve this...simple 1. Let h(x)=3-2x and k(x)=-x^2+5x+8 Graph: R(x)=-2 I have no idea how to graph this. 2. What di... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4808 | Lemma 37.61.5. In Situation 37.61.1 assume $S$ is a locally Noetherian scheme and $X$, $Y$, and $Z$ are locally of finite type over $S$. Then the pushout $Y \amalg _ Z X$ (Proposition 37.61.3) is locally of finite type over $S$.
Proof. Looking on affine opens we recover the result of More on Algebra, Lemma 15.5.1. $\s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4809 | # Bounding a hypergeometric sum
Is there a general method for finding upper bounds of hypergeometric sums?
The sum in particular I am trying to bound is $\sum_{j=1}^{k}\binom{k-1}{j-1}\binom{n-k-1}{j-1}4^{k-j}$.
This is a hypergeometric sum with ratio $\frac{(k-j)(n-k-j)}{4(j-1)^2}$.
Thanks.
-
Here gross bound *Ca... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4810 | ×
# Prove that for every revolution it is equivalent to 360degrees or 2pi rad.
I'm very curious about revolution. Why 1 revolution = 360degrees or 2pi rad? Is there proved that 1turn is 360?
Note by John Aries Sarza
4 years, 3 months ago
Sort by:
< Source: Wolfram Alpha, www.wolframalpha.com >
The radian is a uni... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4811 | # Pamala Company makes calendars. Information on cost per unit is as follows: What is the contribut...
Pamala Company makes calendars. Information on cost per unit is as follows:
What is the contribution margin per unit?
Direct materials $1.50 Direct labor 1.20 Variable overhead 0.90 Variable marketing expense 0.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4813 | # Linear Programming if-then-else [duplicate]
I have a binary variable $y\ \epsilon\ \{0,1\}$ and a real $x$ which has the following boundaries $-100\leq\ x \leq\ 100$. How can I reformulate the following statement: $$y = \begin{cases} 0 & \text{if x< 0 }\\ 1 & \text{if x \geq0}\\ \end{cases}$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4814 | Question
A wire of uniform thickness with a resistance of is cut into three equal pieces and they are joined in parallel. The equivalent resistance of the parallel combination will be :
A
B
C
D
Medium
Solution
Verified by Toppr
Correct option is
A
In this case, a wire of uniform thickness with a resistance of 27 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4815 | # Math Help - interpolation
1. ## interpolation
f is in C[a,b] , a <= x_0 <= x_1 <= b ; and A is the operator that turns f into
interpolating polynomial of f with degree 1 at the interpolation points x_0 and x_1 ;
i.e.
Af(x) = {(f(x_1)-f(x_0)) / (x_1-x_0)}.x + (x_1.f(x_0) - x_0.f(x_1))
How can we show that A is pos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4812 | ## Charge on each ion
The magnitude of the electrostatic force between two identical ions that are separated by a distance of 7.90 nm is 6.250×10-10 N. What is the charge of each ion?
How many electrons are missing from (or have been added to) each ion thus giving the ion its charge imbalance? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4803 | # Math Help - Analytic in a Domain D
1. ## Analytic in a Domain D
if f(z) is analytic/holomorphic in a Domain D, prove f(z) must be constant in that domain if any of these are also constant in D:
Im(f(z)), Re(f(z)), |f(z)|
So, f(x + iy) = u(x, y) + iv(x, y)
u, and v have first partial derivatives and satisfy Cauchy... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4805 | # All Questions
407 views
### Creating hexahedral finite elements in Mathematica
Is it possible to do FEM using hexahedral elements in Mathematica? If it possible, is there any help to do that?
29 views
### Error in extracting a column [duplicate]
I imported excel data to Mathematica using this command. kuruzD = I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18624 | # Lower and Upper Riemann sums of sin(x)
Tags:
1. Oct 27, 2014
### paulca
P is a uniform partition on [0, π] and is divided into 6 equal subintervals. Show that the lower and upper riemann sums of sin (x) over P is lesser than 1.5 and larger than 2.4 respectively.
My attempt at the solution:
The greates value and t... |
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