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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18549 | Question
# In a certain game A’s skill is to B’s as 3 to 2. Find the chances of A winning 3 games at least out of 5.
Hint: In this question it is given that A’s skill is to B’s as 3 to 2, this means that A’s chances of winning a game is $\dfrac{3}{5}$ using the basic concept of probability that ${\text{Probability = ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18550 | # 1141 NET test automation recipes
CYAN
MAGENTA
YELLOW
BLACK
PANTONE 123 CV
BOOKS FOR PROFESSIONALS BY PROFESSIONALS ®
THE EXPERT’S VOICE ® IN .NET
Companion
eBook Available
This book shows you how to write lightweight but powerful test automation in
a .NET programming environment. By lightweight, I mean short (ge... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18551 | Lionel Levine
## Monday, March 24, 2014 4:00pm 310 Gates Hall
Abstract:
A sandpile on a graph is an integer-valued function on the vertices. It evolves according to local moves called "topplings". Some sandpiles stabilize after a finite number of topplings, while others topple forever. For any sandpile s_0 if we rep... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18552 | # Powerful Ksenia
## 题目描述
Ksenia has an array $a$ consisting of $n$ positive integers $a_1, a_2, \ldots, a_n$ . In one operation she can do the following: - choose three distinct indices $i$ , $j$ , $k$ , and then - change all of $a_i, a_j, a_k$ to $a_i \oplus a_j \oplus a_k$ simultaneously, where $\oplus$ denotes th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18553 | # How do you find two different parametric equations for rectangular equation given: y = 6x - 1?
Oct 26, 2017
There are infinitely many ways of parameterizing a curve:
#### Explanation:
The simplest parametrization is to put $x = t$, which gives:
$\left\{\begin{matrix}x = t \\ y = 6 t - 1\end{matrix}\right.$
Anot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18555 | Symbol
Problem
Find the roots of the following polynomial equations. $1.$ $\left(x+3\right)\left(x-2\right)\left(x+1\right)\left(x-1\right)=0$ $2$ $\left(x+5\right)\left(x-5\right)\left(x+5\right)\left(x-1\right)=0$ ROTA $3.$ $\left(x+4\right)^{2}$ $\left(x-3\right)^{3}=0$ $4.$ $X$ $\left(x-3\right)^{4}\left(x+6\right)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18558 | # When should the antiderivative of a rational function be defined as a piecewise function?
I'm doing basic problems on antiderivatives and there seems to be an inconsistency in my book.
The instructions for these problems are:
Find the most general antiderivative of the function.
Number 11 is:
11. $f(x) = \dfrac{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18559 | Magyar Information Contest Journal Articles
# Problem P. 4276. (October 2010)
P. 4276. At what angle can a ladder of weight G be leaned against the vertical smooth wall, if a man of mass m can safely climb up on it? The coefficient of static friction between the ground and the ladder is 0.
(4 pont)
Deadline expired... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18554 | # The asymptotic behaviour for the probability that a random permutation in $S_n$ has order $2$.
Let $T_n$ be the number of elements of $S_n$ with order $1$ or $2$. It is well known that:
$$T_n = \sum_{k=0}^{\left\lfloor\frac{n}{2}\right\rfloor}\binom{n}{2k}(2k-1)!! = \frac{d^n}{dx^n}\left.\exp\left(x+\frac{x^2}{2}\r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18556 | ## Calculus with Applications (10th Edition)
(a) $$f(x)=5$$ This function is a horizontal line and has slope $0$ the derivative is $0$. (b) $$f(x)=x$$ This function has slope 1 the derivative is 1. (c) $$f(x)=-x$$ This function has slope -1 the derivative is -1. (d) $$f(x)=3$$ This function is vertical line and has un... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18557 | # Central Pressure of a Star, help please.
1. Nov 4, 2009
### CaptainEvil
1. The problem statement, all variables and given/known data
I'm to prove that the central pressure of a particular star is
Pc = (15/16$$\pi$$)(GM2/R4)
I am given the density as a function of r
$$\rho$$(r) = $$\rho$$0[1 - (r/R)2]
In part ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2048 | ## Jovanmommy_13 Group Title What is the probability that out of 125 babies born, at least 70 will be girls? Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent. A.99.0% B.70.4% C.10.5% D.51.2% one year ago one year ago
1. FeoNeo33 Group Title
10 20 30 40 50 60 70 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2049 | KOI-3278: A Self-Lensing Binary Star System
# KOI-3278: A Self-Lensing Binary Star System
Over 40% of Sun-like stars are bound in binary or multistar systems. Stellar remnants in edge-on binary systems can gravitationally magnify their companions, as predicted 40 years ago. By using data from the Kepler spacecraft, w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2050 | 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).
2 improved grammar of title
1
# regular elements in torus of a group of Lie type
Let $G$ be a simple linear algebraic group, and $F$ a Frobenius map, i.e. some pow... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2051 | There are several famous inequalities in the theory of probability. The simplest one is the Markov inequality:
for any random variable $X$ and real number $a>0$.
If we consider the random variable $(X-E[X])^2$, substitute into the Markov inequality, we have
By substituting $a=k\sigma$ where $Var[X]=\sigma^2$, we hav... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2053 | Search FQXi
Please also note that we do not accept unsolicited posts and we cannot review, or open new threads for, unsolicited articles or papers. Requests to review or post such materials will not be answered. If you have your own novel physics theory or model, which you would like to post for further discussion amo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2054 | # Seven Times a Number Minus the Number Is -48. Find the Number.
## Question: Seven times a number minus the number is -48. Find the number.
The given question is based on linear equations in one variable.
## Answer: The required number is -8, which satisfies the condition: seven times a number minus the number is -... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2055 | # Find $\lim_{x\rightarrow\frac{\pi}{6}}\frac{1-2\sin x}{\cos3x}$
Find $$\lim_{x\rightarrow\frac{\pi}{6}}\frac{1-2\sin x}{\cos3x}$$ without L'Hôpital's rule.
### My work:
1) I know that $$\lim_{x\rightarrow0}\frac{\sin x}{x}=1$$
2) Let $x=t-\frac{\pi}{6}$. Then
$$\lim_{x\rightarrow\frac{\pi}{6}}\frac{1-2\sin x}{\c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2057 | # Lecture-2
## Part - 1
In this lecture, I am discussing uses of Euclid’s Division Lemma other than finding HCF or GCD. How to represent Integers in the form of 2q, 2q+1, 3q+1, 3q+2, 4q+1, 4q+2, 4q+3 etc… for Cbse Class 10 Maths Chapter 1 Real Numbers.
## Part - 2
00:00:39 Question 1. Show that every positive even ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2058 | # What does a standard deviation 'n', signify?
When we calculate the standard deviation, we divide the root of the mean of squared deviations by root N, instead of N. The mean absolute deviation makes intuitive sense. When someone says that the mean absolute deviation (about the mean) of a series of numbers is "5 unit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2059 | # The q-binomial coefficients and their interpretations
A q-derivative is a discrete version of the usual derivative, defined by the formula
$D_q f(x) = \frac{f(qx) - f(x)} {qx - x}.$
This motivates a “quantum calculus” that appears in several branches of mathematics (mainly in number theory and in the theory of quan... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2060 | $$\require{cancel}$$
# APPENDIX A: Evaluation of the Voigt Curve of Growth Integral
We wish to evaluate the equivalent width as given by equation 11.6.2:
$\tag{11.A.1}W=2\int_0^\infty \left ( 1-\text{exp}\left \{-Cl\tau(0)\int_{-\infty}^\infty \frac{\text{exp}[-(ξ-x)^2\ln 2/g^2]}{ξ^2+l^2}dξ\right \} \right ) dx.$
W... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2061 | ## 6M.1 7th Ed
$\Delta G^{\circ} = -nFE_{cell}^{\circ}$
Layal Suboh 1I
Posts: 61
Joined: Fri Sep 28, 2018 12:23 am
### 6M.1 7th Ed
Hello,
I'm having trouble with this problem. It says:
A student was given a standard Cu(s)|Cu2+(aq) half-cell and another half-cell containing an unknown metal M in 1.00 M M(NO3)2 (aq... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2063 | ## Sunday, September 24, 2006
### Linearity Property of the Integral
The linearity property of the integral refers to the very important property of being able to break integrals apart into sums. That is, ∫(b,a) [f(x)dx + g(x)dx] = ∫ (b,a) f(x)dx + ∫(b,a)g(x)dx.
The content in today's blog is taken from Edwards and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2052 | OpenStudy (anonymous):
Help please? use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width).
3 years ago
OpenStudy (anonymous):
3 years ago
OpenStudy (anonymous):
calculator exercise
3 years ago
OpenStudy (anonymous):
?
3 years ago
OpenStudy (anonymo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2062 | Want to see correct answers?
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2056 | # Proof involving the Pigeonhole principle
Prove that among any given $n + 1$ positive integers, there are always two whose difference is divisible by $n$
Using Pigeonhole principle:
From a set of at least $2$ different $n+1$ positive integers the difference between $n+1$ integers will always have a case where it is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22560 | Recognitions:
Gold Member
Staff Emeritus
## [SOLVED] Group Theory For Dummies
SO(3) is defined to be the space of all 3x3 real matrices G such that:
Gt = G-1
det G = 1
So what about its corresponding Lie Algebra so(3)? It is the set of all 3x3 matrices A such that exp(A) is in SO(3).
So how do the constraints on S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22561 | # An algebra problem by Jaya Prakash
Algebra Level 2
If $$144 / 0.144 = 14.4/x$$, then the value of $$x$$ is:
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22562 | Selfish Mining & Stubborn Mining Simulation
# Selfish mining.
In year 2010, user RHorning described the idea of selfish mining in the Bitcoin forum bitcointalk. The forum user provided simulation results for the attack, at the time called the mining cartel attack. Later in 2013 the term selfish mining and its formal ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22563 | # Equation of line in standard form
#### Mike
##### New member
I am having trouble with algebra... I have to write an equation in standard form containing the given point and having the give slope for (2,1);m=1
I have no clue what I am doing and am not able to find anything online. Please help
#### Jameson
Staff m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22564 | 2.1.1: Right Triangle Trigonometry
Sine, cosine, tangent, and other ratios of sides of a right triangle.
Sine, Cosine, and Tangent
Trigonometry is the study of the relationships between the sides and angles of right triangles. The legs are called adjacent or opposite depending on which acute angle is being used.
\b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22565 | # Equation Of A Line Concise Solutions Chapter-14 Class 10
## Selina Publications Chapter-14 Equation of a Straight Line
Equation Of A Line Concise Solutions Chapter-14 Class 10. Solutions of Exercise – 14 (A), Exercise – 14 (B),Exercise – 14 (C), Exercise – 14 (D),Exercise – 14 (E) of Concise. Concise Selina Maths ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22566 | When you want to solve an equation with containing a radical expression you have to isolate the radical on one side from all other terms and then square both sides of the equation.
Example
$3\sqrt{x}=9$
$\sqrt{x}=\frac{9}{3}=3$
$\begin{pmatrix} \sqrt{x} \end{pmatrix}^{2}=\begin{pmatrix} 3 \end{pmatrix}^{2}$
$x=9$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22567 | Michael Hong wrote:
> So for this cap, we have \$$\cap_X (x,x') = \hom(x',x) = \cup_X (x,x')\$$ ?
Right.
I find the arbitrary conventions in this course endlessly confusing, first because there are \$$2^n\$$ options some fairly large value of \$$n\$$ (like 10), second because there aren't completely standard choices... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22569 | # What is the relationship of bias and consistency of an estimator?
Let $(\mathfrak{X}_n, (P_\vartheta)_{\vartheta \in \Theta})$ be a statistical model with $n$ samples. Then $\hat{\vartheta}_n: \mathfrak{X}_n \rightarrow \tilde{\Theta}$ is called an estimator for $\vartheta$.
• $\hat{\vartheta}_n$ is called unbiased... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22570 | andy0130tw
5/9/2018 - 2:49 AM
## owo unused 2.6
owo unused 2.6
First, proving Exercise 2.6: The following describes a protocol to compute a boolean function $f: X \times Y$ in $C^z(f) + 1$ bits, where $z \in \{0, 1\}$. Assume that Alice and Bob realize the way they use to cover $z$-entries and the value of $z$.
\beg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22571 | # Another trigonometry problem
1. Apr 10, 2007
### Hypochondriac
in part b) i of a question, i was asked to prove that (1-cos2x)/sin2x is equivilent to tanx and so i did.
then in part b) ii i was asked to varify that 180 is a solution of x for:
sin2x = 2 - 2cos2x
i took the 2 out; sin2x = 2(1 - cos2x) and saw simi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22572 | # Math Help - Non-Trivial Proof Using Pigeonhole Principle
1. ## Non-Trivial Proof Using Pigeonhole Principle
Hello,
Attached is a statement whose proof requires use of the Pigeonhole Principle. I came rather close to proving it on my own, but I would rather not share my sketch of the proof since it probably isn't i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22568 | # Question #be972
Oct 17, 2016
Let the distance between p and q be S m and the accelaration of the particle is $\text{ "a} \frac{m}{s} ^ 2$. Let the total time to cover distance S is T s.
The particle starts with initial velocity $u = 0$ and describes 2 m in 1st sec.
So applying kinematic equation
$s = u t + \frac{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22574 | PESWiki.com -- Pure Energy Systems Wiki: Finding and facilitating breakthrough clean energy technologies.
# PowerPedia:Aether
See Directory:Aether for an index of Aether companies, applications, theories.
The assorted aether theories embody the various conceptions of a "medium" and "substance". The Aether of the cl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22575 | # School of Information Blogs
## December 15, 2017
Ph.D. student
#### Net neutrality
What do I think of net neutrality?
I think it’s bad for my personal self-interest. I am, economically, a part of the newer tech economy of software and data. I believe this economy benefits from net neutrality. I also am somebody ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22573 | # What axioms does ZF have, exactly?
While trying to find the list of axioms of ZF on the Web and in literature I noticed that the lists I had found varied quite a bit. Some included the axiom of empty set, while others didn't.
That is perfectly understandable - the statement of the axiom is provable from the axiom s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14000 | # Multiplicative inverse of a complex number.
Find the multiplicative inverse of $1+ 3\sqrt{2}$ in the ring $\mathbb{Q}(\sqrt{2})$ and use it to solve the equation $(1+3\sqrt{2})x=1-5\sqrt{2}$.
I think that the inverse is the conjugate, so it would be $1-3\sqrt{2}$, but then I don't know where to use in the equation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14001 | ## Finding n in Delta G = -nFE
$\Delta G^{\circ} = -nFE_{cell}^{\circ}$
Jaira_Murphy_2D
Posts: 31
Joined: Fri Apr 06, 2018 3:00 am
### Finding n in Delta G = -nFE
Can someone explain how to find n in Delta G = -nFE ?
Kyle Golden Dis 2G
Posts: 67
Joined: Fri Sep 28, 2018 12:17 am
### Re: Finding n in Delta G = -nF... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14002 | What is the most stable iodine ion?
$\frac{1}{2} {I}_{2} + {e}^{-} \rightarrow {I}^{-}$
Iodide ion, ${I}^{-}$, is a very commonly encountered ion. Of course there are others. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14004 | # Classyfing the simple submodules of $\mathbb{C[Q_8]}$
I'm taking a course in abstract algebra, at the moment we are working on the Wedderburn theorem and I'm still unable to understand how to use it properly to solve exercises. I tried to solve a problem and explain my reasoning to see where are the holes in my unde... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14005 | # Math Help - Trouble taking a derivative
1. ## Trouble taking a derivative
I have to take the derivative of $\frac{y - 1}{y^2 - y + 1}$:
The solution is $\frac{y^2 - 2y}{(y^2 - y + 1)^2}$ but in my work, the answer will have something to the 4th power on the top which will be impossible to cancel out. What have I d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14006 | If $f=2x^{3}+3y^{2}+4z$, the value of line integral $\int_{c} \text{grad}f \cdot d \textbf{r}$ evaluated over contour $C$ formed by the segments $(-3,-3,2)\rightarrow(2,-3,2)\rightarrow(2,6,2) \rightarrow(2,6,-1)$ is___________. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14009 | # Notebook Collection Part 3
This is my third post on my extensive collection of notebooks. You can find part one here and part two here.
Japanese Notebooks
I have a lot of notebooks that are manufactured in Japan. Shown here are several of these from Kinokuniya Bookstore near Bryant park and from Mitsuwa Marketplac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14010 | # Midpoint Calculator
The calculator will find the midpoint for two points, with steps shown.
(
,
,
)
(
,
,
)
If you have two-dimensional points, set the third coordinates equal to $0$ or leave them empty.
If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14011 | # Counterexample of G-Set
If every element of a $G$-set is left fixed by the same element $g$ of $G$, then $g$ must be the identity $e$.
I believe this to be true, but the answers say that it's false. Can anyone provide a counter-example? Thanks!
-
By a $G$-set, do you mean a set on which $G$ acts? In that case, you... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14013 | # CONVERGENCE THEOREMS FOR A PAIR OF ASYMPTOTICALLY AND MULTIVALUED NONEXPANSIVE MAPPING IN CAT(0) SPACES
• AKKASRIWORN, NAKNIMIT ;
• SOKHUMA, KRITSANA
• Published : 2015.06.30
• 34 6
#### Abstract
In this paper, we prove ${\Delta}$-convergence theorems for Ishikawa iteration of asymptotically and multivalued nonexp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14014 | # primality testing for beginners student mathematical library
Download Book Primality Testing For Beginners Student Mathematical Library in PDF format. You can Read Online Primality Testing For Beginners Student Mathematical Library here in PDF, EPUB, Mobi or Docx formats.
## Primality Testing For Beginners
Author ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14015 | # Unique representations in a vector space
Suppose I have a vector space $V$ over a field $k$, and a finite basis $\mathcal B=\{v_1,v_2,\dots,v_n\}$. Then each vector has a unique representation of the form $c_1 v_1+c_2 v_2+\cdots+c_nv_n$, where the $c_i$ come from the field $k$.
Clearly it has at least one, since by... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14003 | Word Problem#3
• May 12th 2006, 12:28 PM
Chrissy
Word Problem#3
A successful bake shop buys a very rich whipped-cream-covered cake from a supplier at $6.00 per cake and then sells the cakes for$10.00 each. The bake shop sells 200 cakes per week. Research shows that they can increase their profit if they increase the s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14008 | If you divide 7^131 by 5, which remainder do you get? : GMAT Problem Solving (PS) - Page 2
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can est... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14012 | # Diffeomorphism problem
1. Sep 15, 2007
### kakarukeys
1. The problem statement, all variables and given/known data
$$M$$ is a smooth manifold, $$U \subset M$$ is a proper open set.
Show that there exists a smooth non-trivial diffeomorphism from $$M$$ onto itself which restriction on $$M - U$$ is identity ("identit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14007 | # Graph Isomorphism variant
Question: Given 2 undirected graphs $G_1$, $G_2$, the problem whether exists a subgraph H1 of G1 which is isomorphic to a subgraph $H_2$ of $G_2$. What is the lowest complexity class for this problem: a. PSPACE b. NPC c. NP d. P
Thoughts We were thinking of this to be in NP because we can ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16689 | # Math Help - An integral
1. ## An integral
How would you to integrate:
1/[x^2* ((1+x^3)^(2/3))]
Thanks
2. Use a reciprocal substitution such as $u=\frac{1}{x}$
3. Originally Posted by Chop Suey
Use a reciprocal substitution such as $u=\frac{1}{x}$
I 've tried this way before but it seems to be not effective.
Could... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16690 | # Weigh a scale with itself
Using nothing but a pocket scale and a flat surface such as a countertop, find the total mass of the scale, including the attached metal plate and the plastic tray/cover (left).
• If you press the TARE button, the scale's zero point will be set to whatever weight is currently on the scale.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16691 | Enter the load on the screw jack, the pitch of the screw, and the lever-arm radius into the calculator to determine the screw jack force.
## Screw Jack Force Formula
The following equation is used to calculate the Screw Jack Force.
Fsj = (L * p ) / (2*pi*R)
• Where Fsj is the screw jack force (lb)
• L is the load on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16692 | • This event has passed.
# Minki Kim (김민기), Complexes of graphs with bounded independence number
## Tuesday, September 29, 2020 @ 4:30 PM - 5:30 PM KST
Room B232, IBS (기초과학연구원)
### Speaker
Let $G$ be a graph on $V$ and $n$ a positive integer. Let $I_n(G)$ be the abstract simplicial complex whose faces are the subs... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16693 | # Understanding proof about chromatic number
Consider an undirected graph $$K(n,k,i)$$, with the all $$k$$-element subsets of $$\{1,\dots,n\}$$ as vertices, and two vertices connected by an edge if their sets intersect in less than $$i$$ elements.
This paper claims on page 74 (Theorem 5.1) that the chromatic number o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16694 | # Questions Asked onAugust 20, 2019
1. ## US History
Which was a direct cause of increased voter participation in the early nineteenth century? A. The expansion of voting rights among African Americans for white men** B. The elimination of property requirements for white men C. The popularity of the
asked by Anonymo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16695 | # If an object with uniform acceleration (or deceleration) has a speed of 2 m/s at t=0 and moves a total of 90 m by t=6, what was the object's rate of acceleration?
May 30, 2017
The rate of acceleration is $= 4.33 m {s}^{-} 2$
#### Explanation:
The initial speed is $u = 2 m {s}^{-} 1$
The distance is $s = 90 m$
T... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16696 | # How to calculate the series $\sum\limits_{n=1}^{\infty} \arctan(\frac{2}{n^{2}})$?
I encountered the series $$\sum_{n=1}^{\infty} \arctan\frac{2}{n^{2}}.$$
I know it converges (by ratio test), but if I need to calculate its limit explicitly, how do I do that? Any hint would be helpful..
Note that $\arctan(u)-\arct... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16697 | HomeEnglishClass 12MathsChapterDifferentiation
If y^3-3x y^2=x^3+3x^2\ y , fi...
# If y^3-3x y^2=x^3+3x^2\ y , find (dy)/(dx)
Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
Updated On: 14-4-2021
Apne doubts clear karein ab Whatsapp par bhi. Try it now.
Watch 10... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16698 | Home > Mean Square > Error Mean Prediction Square
# Error Mean Prediction Square
## Contents
The speaker of the quote Is Monero the first cryptocurrency to use Confidential Transactions (RingCT), 0MQ, and LMDB? Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16699 | ## Tuesday, November 27, 2007
Logging in to Facebook this morning there was a great demonstration of the Birthday Paradox (which isn't actually a paradox, it's just that people get surprised by it).
I have 95 'friends' on Facebook, and this Thursday three of them have a birthday. Wow! Or not, wow, in fact since the c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16702 | What is the maximum number of emission lines when the excited electron of a hydrogen atom in n=6
Since comments caused certain level of confusion, I guess I'll try to provide a further illustration. You should consider all possibilities for an electron "jumping" down the excited energy state $$n$$ to the ground state... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16700 | # zbMATH — the first resource for mathematics
Equations on the semidirect product of a finite semilattice by a $$J$$- trivial monoid of height $$k$$. (English) Zbl 0833.68073
Summary: Let $${\mathbf J}_k$$ denote the $$k$$th level of Simon’s hierarchy of $${\mathcal J}$$-trivial monoids. The 1st level $${\mathbf J}_1$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16701 | # Complex analysis, complex variables books
See below for a selection of the latest books from Complex analysis, complex variables category. Presented with a red border are the Complex analysis, complex variables books that have been lovingly read and reviewed by the experts at Lovereading.
With expert reading recomm... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16703 | ## Basic College Mathematics (9th Edition)
Published by Pearson
# Chapter 2 - Multiplying and Dividing Fractions - Review Exercises: 44
#### Answer
$\frac{4}{13}$
#### Work Step by Step
$\frac{12}{13} \div 3$ Multiply by reciprocal of divisor. $\frac{12}{13} \times \frac{1}{3}$ Reduce by common factor of 3 and mu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16688 | # Derangements and unit fractions
Motivated by a recent question of Zhi-Wei Sun and its nice answer by Zhao Shen, here are two related questions.
Let $$S_n$$ be the group of permutations on $$\{1, 2, \ldots, n\}$$.
a. For each $$n \ge 6$$, is there some $$\pi \in S_n$$ such that $$\sum_{k=1}^n \frac{1}{k - \pi(k)} =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7840 | # Mixture Problem
Algebra Level 3
I have a mixture of $$m$$ litres of pure milk. I take out 24 litres of milk at one time and add the same amount of water in it. I do this for 5 times and find out the ratio of milk to water is $$32:211$$. Find the value of m.
This question may has some flaws.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7841 | # Proving that the ring is not an euclidean domain
Consider the ring $R= \mathbb Z [(1+\sqrt-19)/2]$. How do I prove it is not an euclidean domain?
-
## 1 Answer
This is a fairly messy (at least as far as I know) proof. The most elementary proof I have seen can be found here
-
+1 I just spent the last 10 minutes r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7842 | CORDIC (coordinate rotation digital computer) is a hardware-efficient iterative method which uses rotations to calculate a wide range of elementary functions.
This article reviews the basics of this algorithm and later demonstrates how we can use CORDIC to calculate the sine and cosine of a given angle.
### Rotate to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7843 | # Irreducible Plane Curves Over the Algebraic $p$-adic Numbers [closed]
Let $A=\overline{\mathbb{Q}}\cap \mathbb{Q}_p$ be the relative algebraic closure of $\mathbb{Q}$ in the field of $p$-adics. Is there an example of an irreducible plane curve $C$ given by $f(x,y)=0$ for $f(x,y)\in A[x,y]$ such that $C$ has a smooth... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7845 | # Definition:Closed Set/Real Analysis
This page is about closed sets in the context of real analysis. For other uses, see Definition:Closed.
## Definition
### Real Numbers
Let $S \subseteq \R$ be a subset of the set of real numbers.
Then $S$ is closed (in $\R$) if and only if its complement $\R \setminus S$ is an ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7847 | # Using the intermediate value theorem to prove that there is at least one number $c\in(1,2)$ such the $f(c)=1/(1-c)+1/(2-c)$
Use the intermediate value theorem to prove that if $f:[1,2]\rightarrow R$ is a continuous function, that there is at least one number $c$ in the interval $(1,2)$ such that $f(c)=1/(1-c)+1/(2-c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7848 | # What is the definition of a linear function?
I'm curious what the definition of a linear function really is? I always hear that a linear function is a "straight line." That really isn't a definition- just a result.
Based on the real definition, how is an inversely proportional function not linear (i.e. $y=(a/x)$?
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7849 | March 11, 2011
Homotopy Type Theory, I
Posted by Mike Shulman
Last week I was at a mini-workshop at Oberwolfach entitled “The Homotopy Interpretation of Constructive Type Theory.” Some aspects of this subject have come up here a few times before, but mostly as a digression from other topics; now I want to describe i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7850 | # American Institute of Mathematical Sciences
April 2015, 8(2): 313-321. doi: 10.3934/dcdss.2015.8.313
## Conley's theorem for dispersive systems
1 Department of Mathematics, Chungnam National University, 79, Daehak-ro, Yuseong-gu, Daejeon 305-764, South Korea, South Korea, South Korea
Received April 2013 Revise... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7851 | Home/Class 12/Maths/
## QuestionMathsClass 12
The projections of the line segment joining points P(-1, 2, 3) and Q(1, 0, 4) on a line inclined equal acute angles with the coordinates axis is
(A) $$-\dfrac{1}{{\sqrt 3 }}$$
(B) $$\sqrt 3$$
(C) $$\dfrac{1}{3}$$
(D) $$\dfrac{1}{{\sqrt 2 }}$$
Consider the points be $$P\l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7852 | # American Institute of Mathematical Sciences
• Previous Article
Symmetric periodic orbits in three sub-problems of the $N$-body problem
• DCDS-B Home
• This Issue
• Next Article
Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint
August 2014, 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7854 | Source: videos added .I would re-ask my question in the more general context of the standard. It would be useful to me if these definitions also hold for linear operations that cannot be (exactly) modelled by sums or differences of training examples.
5
Since linear functions are invariant under scale, the answer is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7855 | 4. Process Modeling
4.1. Introduction to Process Modeling
## What terminology do statisticians use to describe process models?
Model Components There are three main parts to every process model. These are
1. the response variable, usually denoted by $$y$$,
2. the mathematical function, usually denoted as $$f(\vec{x};... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7844 | # Tag Info
Consider a FV method as an approximation of the integral conservation law. Starting from the one-dimensional, scalar conservation equation $$u_t + f(u,\nabla u)_x =0,$$ with the definitions of the step sizes $\Delta x$ and $\Delta t$ t_n = n \Delta t,~~~x_i = i \Delta x,~~~x_{i+1/2}=\frac{1}{2}\left(x_i + x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7846 | # Polynomial for Class 10
## All Types of Polynomials
Polynomials are algebraic expressions that may consist of exponents, variables, and constants that are added, subtracted, or multiplied. These elements of the polynomial are combined using mathematical operations such as addition, subtraction, multiplication, and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7853 | # A symmetry property of some harmonic algebraic curves - Mathematics > General Mathematics
Abstract: The aim of this note is to give a surprising symmetry property of someharmonic algebraic curves: when all the roots $z i$ of a complex polynomial $P$lie on the unit circle $\U$, the points of $\U$ different from the $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24529 | Damon Cowan
2022-09-14
Prove $\frac{n-1}{n}+\frac{n-1}{n}\frac{n-3}{n-2}+\frac{n-1}{n}\frac{n-3}{n-2}\frac{n-5}{n-4}+...=\frac{n-1}{3}$ without induction
I found this identity using Maple. Is there a (simple) way to prove it without using induction? Using induction, the proof is quite easy.
Prove for odd n that
$\sum... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24531 | # How do you translate "x^3 * y^4" into a verbal expression?
The expression ${x}^{3} \cdot {y}^{4}$ can be stated as "x to the third power times y to the fourth power", or "x cubed times y to the fourth power."
${x}^{3}$ can be stated as "x to the third power" or "x cubed." ${y}^{4}$ is stated as "y to the fourth powe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24532 | # Tag Info
### The universal ticket
Update: Honing in the parameters allowed for a score of 153. This is much closer than I expected to get to the 165 mentioned on the website. original: I decided to go for a brute force approach and ...
• 31
1 vote
### If the door in Monty Hall is opened by a person without knowled... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24533 | SMS scnews item created by Leo Tzou at Thu 18 Oct 2018 2204
Type: Seminar
Distribution: World
Expiry: 18 Oct 2019
Calendar1: 20 Nov 2018 1200-1300
CalLoc1: UNSW Red Centre 4082
CalTitle1: Prime number races
Auth: leo@121.213.25.198 (ltzo2369) in SMS-WASM
# Joint Colloquium: Martin -- Prime number races
This talk is a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24534 | # Back to summation
Algebra Level 4
$\large \sum_{n=1}^\infty \frac1{n(n+1)(n+2)(n+3)}$
If the series above equals to $$\dfrac AB$$ where $$A,B$$ are coprime positive integers, then what is the value of $$A +B$$?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24535 | # Binomial Coefficient Odd?
A natural question is: “When is the binomial coefficient an odd number?” Draw a picture, as pretty as you can make it, tabulating the answer for the range $0 ≤ k ≤ n ≤ 15$.
I'm very lost in how I'm supposed to draw this, would this be related to Paschal's Triangle?
• – GEdgar Oct 10 '16 a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24537 | # Tagged: subspace
## Problem 664
Let $V$ be the vector space of $k \times k$ matrices. Then for fixed matrices $R, S \in V$, define the subset $W = \{ R A S \mid A \in V \}$.
Prove that $W$ is a vector subspace of $V$.
## Problem 663
Let $\R^2$ be the $x$-$y$-plane. Then $\R^2$ is a vector space. A line $\ell \su... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24538 | # Two pendulums oscillate with a constant phase difference of 90°. If time period of one of them is 2 sec., then period of the other is
This question was previously asked in
UP TGT Science 2019 Official Paper
View all UP TGT Papers >
1. 2 sec
2. 4 sec
3. 1 sec
4. 6 sec
## Answer (Detailed Solution Below)
Option 1 : ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24539 | ## Some Simple New Elementary Functions
In this post I introduce some new functions:
• $\mathrm{exph}(x)$
• $\mathrm{lnh}(x)$
• $\mathrm{cish}(x)$
I’m not sure whether to call these “hyperbolic” or “circular” versions of their sister functions.
The elementary functions include these (not a complete list)
• $\sin(x... |
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