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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24740 | # Q.6 For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained.(i) 252(ii) 2925(iii) 396(iv) 2645(v) 2800(vi) 1620
(i) 252: Prime factorization of 252 gives = .
For making pairs we will div... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24741 | # Bouncing ball and impulse
1. ### xrotaryguy
25
I don't know why I'm getting the wrong answer on this one.
A 5.00kg ball is dropped from rest from 1.20m above the floor. The ball rebounds .700m. What are the magnitude, and direction of the impulse or the net force applied to the ball during the collision with the f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24742 | # Thread: triple integral in spherical coordinates
1. ## triple integral in spherical coordinates
Evaluate triple integral of 16z dv where G is the upper half of the sphere x^2+y^2+z^2=1.
Thank you very much.
2. Originally Posted by kittycat
Evaluate triple integral of 16z dv where G is the upper half of the sphere... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24743 | Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord! Numerade Educator ### Problem 66 Easy Difficulty # Reactants$A$and$B$form product$C .$Draw a road map and write a Plan to find the mass (g) of$C$when 25 g of A reacts with exce... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24744 | Cyclic quadrilateral is a special kind of quadrilateral inscribed in a circle. Inscribe means that the vertices of quadrilateral are on the circumference of the circle. A square, rectangle, isosceles trapezoid are some of cyclic quadrilaterals. Below are the some facts about this special figure.
1. The opposite angle ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24745 | Proving the linearity of $df$: How to place the limit inside the argument of $\psi \circ f \circ \phi^{-1}$?
In the book of Chillingworth, the author defines the tangent space of a point $$p$$ in the smooth manifold $$M$$ as the set of all conjugacy classes of smooth paths with $$\alpha (o) = p$$ s.t $$\alpha \sim \be... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24746 | ## Missouri Journal of Mathematical Sciences
### $G$-Sets and Linear Recurrences Modulo Primes
#### Abstract
Let $p$ be a prime number with $p\neq 2$. We consider second order linear recurrence relations of the form $S_n=aS_{n-1}+bS_{n-2}$ over the finite field $Z_p$ (we assume $b\neq 0$). Results regarding the peri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24747 | ## Challenging Trigonometry Question (ACS(I) Sec 3)
Solution:
(a) $\tan (\alpha + \beta )=\frac{10}{x}$
Using the formula,
$\displaystyle \frac{\tan \alpha + \tan \beta}{1-\tan \alpha \tan \beta}=\frac{10}{x}$
$\displaystyle \frac{\frac{5}{x}+\tan \beta}{1-(\frac{5}{x})\tan \beta}=\frac{10}{x}$
Cross-multiply,
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24748 | #### Thank you for registering.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24749 | # How to solve radical equations
This lesson will show how to solve radical equations. If an equation has a variable in the radicand or a variable with a fractional exponent, we call the equation a radical equation. Study the easy example below.
If the index of the radical is 2, the equation is called square root equ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24750 | # Taylor polynomial clarified
I decided to write this article, because all other articles I found on the internet seemed too complicated and did not explain the basic principles. I will avoid formalism, but I am sure formalisms will be clear to you after reading this article.
## Prerequisities
Before you start to re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24751 | # Hurry sometimes applicants are not hired solely because of a wrong impression the employer received during the interview.
###### Question:
Hurry
sometimes applicants are not hired solely because of a wrong impression the employer received during the interview.
true or false
### All of the following substances are ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24384 | Chapter 6 The Hydrogen Atom.
Presentation on theme: "Chapter 6 The Hydrogen Atom."— Presentation transcript:
Chapter 6 The Hydrogen Atom
Outline • The Hydrogen Atom Schrödinger Equation • The Radial Equation Solutions (Wavefunctions and Energies) • The Hydrogen Atom Wavefunctions (Complex and Real) • Use of the Wave... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24385 | # Does convergence in $L^{p}$ implies convergence almost everywhere?
If I know $\|f_{n}(x) - f(x)\|_{L^{p}(\mathbb{R})} \rightarrow 0$ as $n \rightarrow \infty$, do I know $\lim_{n \rightarrow \infty}f_{n}(x) = f(x)$ for almost every $x$?
-
For sure along a subsequence. This is the first step when you prove that $L^p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24386 | # statistic
• Jul 21st 2009, 04:19 AM
thereddevils
statistic
Show that ( from basic definition) the variances for a set of observations $y_1,y_2,y_3,......,y_n$ with the mean $\overline{y}$ can be determined by using
$
\frac{1}{n}\sum^{n}_{i=1}y_i^2- \overline{y}^2
$
• Jul 21st 2009, 07:31 PM
mr fantastic
Quote:
Ori... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24387 | Quick math probability question
1. May 18, 2005
seiferseph
An unbiased coin is flipped twice. What is the probability that the second one is heads, given the first was a head?
also, is this the same question
An unbiased coin is flipped twice. What is the probability that they are both heads, given the first was a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24388 | # Math Help - which formula should I use to integrate this?
ds/(2s+1)^3
2. ## Re: which formula should I use to integrate this?
$\dfrac{1}{(2s+1)^3}= (2s+1)^{-3}$
If you let u= 2s+ 1, that becomes $u^{-3}$. What does ds become? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24389 | # Definition:Division/Notation
$a / b$, which is probably the most common in the general informal context
$\dfrac a b$, which is the preferred style on $\mathsf{Pr} \infty \mathsf{fWiki}$
$a \div b$, which is rarely seen outside grade school. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24390 | # Thread: [SOLVED] Chebyshev polynomial approximation
1. ## [SOLVED] Chebyshev polynomial approximation
The series
$\Phi_n(x) = \frac{1}{2} c_0 T_0(x) + c_1 T_1(x) + \ldots+ c_n T_n(x)$
is a least squares Chebyshev polynomial approximation of f(x) on [-1,1], if
$c_j = \frac{2}{\pi} \int_{-1}^1\frac{f(x) T_j(x)}{\s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24391 | # Heat equation? how to solve?
• June 2nd 2011, 08:37 PM
Hamed
Heat equation? how to solve?
Hello
I have one problem with solve heat equation with integral Fourier,
This is problem
du/dt-d(2)u/dx^2= 2t when 0<x< $\pi$, 1 when x>0
u(x,0)=2x when o<x<1 , -1 when x>1
u(0,t)=t-1 when t $\geqslant$0
I write u(x,t)=F(x)G(t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24392 | # 70% of what number is 14?
The number is $20$
#### Explanation:
Let the number be "x":
Hence we have
14 = (70%)*x
$14 = \frac{70}{100} \cdot x$
$14 = 0.7 \cdot x$
$x = \frac{14}{0.7}$
$x = 20$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24393 | ## Lumion 11 Pro Crack
(1)Calculates the kinetic energy of a particle in a box.
NOTES:
(a) I have used the definition of the kinetic energy, $K=\frac{1}{2}mv^{2}$.
(b)The potential energy is $\frac{1}{2}mV^{2}$.
(c) The total energy is $E=\frac{1}{2}mV^{2} + \frac{1}{2}mv^{2}$.
KEYMACRO Usage:
(1)Enter the given val... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24394 | #### 12th Standard Maths Discrete Mathematics Equations English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021
12th Standard
Reg.No. :
•
•
•
•
•
•
Maths
Time : 00:10:00 Hrs
Total Marks : 10
Answer all the questions
10 x 1 = 10
1. Subtraction is not a binary operation in
(a)
R
(b)
Z
(c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24395 | # The hour hand of a clock is 6 cm long.
Question:
The hour hand of a clock is 6 cm long. The area swept by it between 11.20 am and 11.55 am is
(a) $2.75 \mathrm{~cm}^{2}$
(b) $5.5 \mathrm{~cm}^{2}$
(c) $11 \mathrm{~cm}^{2}$
(d) $10 \mathrm{~cm}^{2}$
Solution:
Hour hand moves $\left(\frac{1}{2}^{\circ}\right)$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24396 | I have forgotten
• https://me.yahoo.com
COST (GBP)
0.42
3.12
0
binomial coefficient gamma
viewed 3625 times and licensed 78 times
Computes the binomial coefficient with the given arguments.
Controller: CodeCogs
C++
Excel
Binomial Coefficient Gamma
intbinomial_coefficient_gamma( int n int k )
This function calcul... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24397 | # Tag Info
6
As Pohoua commented, your understanding is correct (but I would say not entirely*). Concepts like confidence intervals, p-values, and hypothesis tests are not calculated from the likelihood $f(\theta|x)$ with $x$ fixed, but instead with the pdf $f(x|\theta)$, where $\theta$ is fixed, which is a different... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24398 | # linear algebra – What is the geometric interpretation of matrix addition?
I was studying linear algebra and trying to get a visual “feel” for it through watching 3Blue1Brown’s “Essence Of Linear Algebra” series here
Essence Of Linear Algebra
Here, matrix multiplication is shown as the composition of 2 linear trans... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24399 | # Math Help - vector problem
1. ## vector problem
Hi guys,
This problem has been bothering me for a while now, and seems to contradict what I had learned in physics, that is, that the tension in a strong is not related to the length of the string. It goes:
A clothesline is tied between two poles 6 m apart. The line ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1008 | # Genus of a multiplicative sequence
Last updated
In mathematics, a genus of a multiplicative sequence is a ring homomorphism from the ring of smooth compact manifolds up to the equivalence of bounding a smooth manifold with boundary (i.e., up to suitable cobordism) to another ring, usually the rational numbers, havi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1009 | # Let $S=\{x~|~x\in G$ and $x^2 \in H\}$. Show that $S$ is a subgroup of $G$ for $H<G$, $G$ abelian.
The question states:
Let $$G$$ be an Abelian group with subgroup $$H < G$$. Let $$S=\{x~|~x\in G$$ and $$x^2 \in H\}$$. Show that $$S$$ is a subgroup of $$G$$.
My proof is different than what is in the book, I procee... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1010 | What is the reference angle for 140^\circ?
Apr 18, 2018
color(maroon)("Ref. angle " A_r = 180 - 140 = 40^@ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1011 | # Rule of division by 23.
by MathematicalPhysicist
Tags: division, rule
P: 3,173 What is the rule of division by 23? Thanks in advance.
HW Helper
Thanks
P: 26,167
Quote by loop quantum gravity What is the rule of division by 23? Thanks in advance.
Do you mean this?
Math Emeritus Sci Advisor Thanks PF Gold P: 38,881... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1012 | Question #a0d6e
The size of an atomic orbital is determined by the principal quantum number, $n$, which describes the shell in which electrons are located. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1013 | ### Geometric theory of one-dimensional nonlinear parabolic equations. I. Singular interfaces
Victor A. Galaktionov
#### Abstract
We present the concepts of a geometric analysis of the free-boundary problems for a nonlinear one-dimensional parabolic PDE with strong singularities $$u_t = F(u,u_x,u_{xx}), \quad x \in ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1014 | # Definition:Spanning Tree/Building-Up Method
Start with the edgeless graph $N$ whose vertices correspond with those of $G$.
Select edges of $G$ one by one, such that no cycles are created, and add them to $N$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1015 | # Differential equation for zeta on the critical line
Edit Major rewrite since Johan Andersson observed the original question is trivial because of vanishing of coefficients.
From this question
$$\zeta(1-x) = \frac{2(\zeta'(x)\Gamma(x/2)+\Gamma((1-x)/2) \zeta'(1-x)\pi^{x-1/2}) )}{\Gamma((1-x)/2) \pi^{-1/2+x}(2\log\p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1016 | +0
# Find the 3 smallest positive x-intercepts of the graph of and list them in increasing order.
-1
67
7
+82
Find the 3 smallest positive x-intercepts of the graph of $$y = \cos(12x) + \cos(14x)$$and list them in increasing order.
Mar 20, 2020
#1
+108727
-1
What do you think you are doing?
14 question almost in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1017 | In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.[1][2] It is sometimes called Hamel dimension (after Georg Hamel) or algebraic dimension to distinguish it from other types of dimension.
For every vector space there exists a basis,[a]... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1018 | # SOLUTION: finding complex solution x^2+2=0
Algebra -> -> SOLUTION: finding complex solution x^2+2=0 Log On
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Question 237081: finding complex solution x^2+... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1019 | # y f'(x) y f 2 CC
Question
Use the graph of f and f` to find the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and the intervals of concavity. Then, graph f assuming f(0) = 0
1 Rating |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1020 | Mathematics
Juila12001:
need help with checking answers and #10 and 12 https://ibb.co/gLvnHx
1 year ago
#10 is a 30-60-90 Triangle Sides Opposite to Angles 90 - 2a 60 - a sqrt 3 30 - a They give the hypotenuse, which is 2x You can solve for y, the side opposite to angle 30 You can do this by dividing (4 sqrt 3) by 2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1021 | # a practical question about matrix derivative with inverse and chain rule: dimension mismatch
Recently, I was trying to take the following derivative $$\dfrac{\partial (X^TV^{-1}X)^{-1}}{\partial V}$$ I was referring to matrix cookbook to solve it, where I found several useful equations:
Equation (59) says: $$\dfrac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1022 | Lemma 10.154.5. Let $R$ be a ring. Let $A \to B$ be an $R$-algebra homomorphism. If $A$ and $B$ are filtered colimits of étale $R$-algebras, then $B$ is a filtered colimit of étale $A$-algebras.
Proof. Write $A = \mathop{\mathrm{colim}}\nolimits A_ i$ and $B = \mathop{\mathrm{colim}}\nolimits B_ j$ as filtered colimit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_1023 | # SOCR EduMaterials Activities ApplicationsActivities BlackScholesOptionPricing
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Black-Scholes option pricing model - Convergence of binomial
• Black-Scholes option pricing formula:
The value $$C[itex] of a European call option at time [it... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17440 | # Kernel PCA and K largest eigenvectors
How can one prove that the optimal kPCA solution $$a^*=\{a_1...a_K\}$$ are the $$k$$-largest Eigenvectors of the (centered) kernel matrix $$K$$?
I referred to a lot of resources and couldn't find a proper explanation.
• We aim to choose a direction in which all of the features... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17441 | # Element in field of quotients is transcendental
Let $F\subseteq E$ be fields, and let $c\in E$. Let $F(c)$ be the field of quotients containing $F$ and $c$. Suppose $c$ is transcendental over $F$. Prove that every element in $F(c)$ but not in $F$ is transcendental over $F$.
An element in $x\in F(c)$ can be written ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17442 | # Understanding the inverse of a transposed matrix
$$(5A^T)^{-1} = \begin{bmatrix} -3 & -1 \\ 5 & 2 \\ \end{bmatrix}$$
$$(A^T)^{-1} = \begin{bmatrix} -3/5 & -1/5 \\ 1 & 2/5 \\ \end{bmatrix}$$
$$A^{-1} = \begin{bmatrix} -3/5 & 1 \\ -1/5 & 2/5 \\ \end{bmatrix}$$
$$A = \begin{bmatrix} -2/5 & 1 \\ -1/5 & 3/5 \\ \end{bm... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17443 | Browse Questions
# Evaluate the following limits $\lim\limits_{x \to 2} \large\frac{3x^2-x-10}{x^2-4}$
$\begin{array}{1 1} \large\frac{11}{4} \\ \frac{11}{2} \\ 0 \\ \infty \end{array}$
When $x = 2 \rightarrow$ the rational function takes the value $\large\frac{0}{0}.$
$\Rightarrow \lim\limits_{x \to 2} \large\frac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17444 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 19 Nov 2019, 11:46
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.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17445 | ## Functions of bounded boundary rotation.(English)Zbl 0224.30024
### MSC:
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
Full Text:
### References:
[1] P. L. Duren, H. S. Shapiro, A. L. Shields,Singular measures and domains not of S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17446 | Eugenie B.
# students sold 275 tickets, some for $3 and some for$5. How many of each kind were sold if the amount is \$1025?
By:
Tutor
4.9 (285)
Masters' Degree in Mathematics with 35 Years of Teaching Experience
## Still looking for help? Get the right answer, fast.
Get a free answer to a quick problem.
Most que... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17447 | # Characterization of strong minimums with slices.
I am doing a proof of a Lemma that isn't in a book.
Let $X$ a Banach space and $\emptyset\not=S\subset X$ closed of $X$. Let $f$ be a lower semicontinuous function bounded below in $S$.
I have that $\displaystyle\lim_{\alpha\to 0^+} \mathop{diameter}(Sl(-f,S,\alpha)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17448 | # Finding Aut(Aut(Aut(C_73)))
Im calculating $Aut(Aut(Aut(C_{73})))$ and have got as far as $Aut(Aut(Aut(C_{73})))\cong Aut(C_2\times C_2\times C_2) \times Aut(C_3)$
I thought this was the answer but I have been told that $Aut(C_2\times C_2\times C_2) \times Aut(C_3)\cong GL_3(\mathbb{F}_2)$
Can someone explain this t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17449 | # A group $G$ is finite iff all its elements have the same finite order?
One direction (when $G$ is finite) is trivial following from Lagrange's theorem. But if a each element of $G$ has the same finite order (says $n<\infty$), i.e. $\forall g\in G$, $g^n=e_G$. Will that implies $G$ is finite? I try to find some count... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17450 | # Unit vector notation
1. Sep 9, 2007
### saber1357
1. The problem statement, all variables and given/known data
Vector a1 + vector a2 = 5*vector a3
Vector a1 - vector a2 = 3*vector a3
Vector a3 = 2i + 2j (i and j are the vector components)
Express 1) vector a1 and 2) vector a2 in unit vector notation
2. Relevant ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17451 | Share
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Solution for A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute? - CBSE Class 9 - Mathematics
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ConceptVolume of a Cuboid... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17452 | # Need Greatest common divisor explaination
In the book the problem says: What is the GCD of two natural numbers m and n if after increasing the number m by 6 the GCD of two numbers increased 9 times.
And the solution it gives is 2,3 or 6. Can someone explain how is it. And what values of m and n satisfy the equation... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17453 | # Does each prime $p>3$ have a quadratic nonresidue which is a Mersenne number?
Recall that the Mersenne numbers are those integers $M_p=2^p-1$ with $p$ prime.
QUESTION: Is it true that for each prime $p>3$ there is a Mersenne number which is a quadratic nonresidue modulo $p$?
In 2014 I conjectured further that for ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17454 | # FIT
## Introduction
FIT is a software package for integration of transcriptome data of samples in the field and meteorological data by modeling their relation. This software defines a statistical model of transcriptomes and provides an efficient method for training the model and for transcriptome prediction of unse... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_17455 | # How to measure the arbitrariness of a quantum state?
An arbitrary qubit is represented as $\alpha|0\rangle+\beta|1\rangle$ with $|\alpha|^2+|\beta|^2=1$. If we know either $\alpha$ or $\beta$, the state can be completely identified. The 'arbitrariness' of an arbitrary qubit thus can be said to be '1'. For a known st... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_976 | # Infinite compositions of analytic functions
Jump to: navigation, search
In mathematics, infinite compositions of analytic functions (ICAF) offer alternative formulations of continued fractions, series, products and other infinite expansions, and the theory evolving from such compositions may shed light on the conve... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_977 | # What is the role of the indicating variable?
What is the role of the indicating variable?
You can still ask an expert for help
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_978 | Find the Laplace transform for displaystyle f{{left({t}right)}}={2}{u}{left({t}-{3}right)}{{cos}^{2}{2}}{t}-{6}{e}^{{{2}{t}+{7}}}delta{left({t}+{3}right)}
Question
Laplace transform
Find the Laplace transform for
$$\displaystyle f{{\left({t}\right)}}={2}{u}{\left({t}-{3}\right)}{{\cos}^{2}{2}}{t}-{6}{e}^{{{2}{t}+{7}}}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_979 | # Design and Development of Power Transmission System for Green and Light Weight Vehicles: A Review
Hailemariam N. Hailu*, Daniel T. Redda
#### Article Metrics
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_980 | Share
# Multiplying a Monomial by a Monomial - Multiplying Three Or More Monomials
#### notes
Observe the following examples.
(i) 4xy × 5x^2y^2 × 6x^3y^3 = (4xy × 5x^2y^2) × 6x^3y^3
= 20x^3y^3 × 6x^3y^3 = 120x^3y^3 × x^3y^3
= 120 (x^3 × x^3) × (y^3 × y^3) = 120x^6 × y^6
= 120x^6y^6
It is clear that we first multi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_981 | # 7.5 Practice: the central limit theorem
Page 1 / 1
## Student learning outcomes
• The student will calculate probabilities using the Central Limit Theorem.
## Given
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_982 | # ?RiverRocks, whose WACC is 11.5% is considering an acquisition of Raft Adventures? (whose WAC...
?RiverRocks, whose WACC is 11.5% is considering an acquisition of Raft Adventures? (whose WACC is 15.1). The purchase will cost $104.6 million and will generate cash flows that start at$ 14.7 million in one year and then... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_983 | Suggested languages for you:
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### Linear Algebra With Applications
Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974
# Determine whether the statements that follow are true or false, and justify your answer.20:Vector $\left[\begin{a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_984 | # Proving $n\equiv p [k] \Longleftrightarrow \gcd(p,k)=\gcd(n,k)$
I'm wondering if this statement is correct :
$n\equiv p [k] \Longleftrightarrow \gcd(p,k)=\gcd(n,k)$.
If it is:
• What are the conditions that must be assured before using it?
• How can I prove that statement?
-
Write $a=\gcd(p,k)$, $p=ap'$, and $k=... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_985 | 12,000
We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK
93%
93% of Lancaster students go into work or further study within six months of graduating
Home > Research > Publications & Outputs > Dilation theory for rank two graph algebras.
## Dilation theory for rank t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_986 | Chemistry: The Central Science (13th Edition)
The condensed electron configuration of $Cs$ is $$Cs: [Xe]6s^1$$
*Strategy: 1) Find the nearest noble gas element of the lower atomic number. 2) Find out which shell is the outer shell and how many electrons there are in the outer shell (by looking at the periodic table). ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_987 | Section9.5The word “Linear”: Definitions and Theorems
In the next section, Section 9.6 we will give, without proof, several important theorems about linear differential equations. But before we get to the theorems, you will need to understand what is meant by the word linear so that you can understand the content of t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_988 | How do i solve: logx^2 = (logx)^2?
1. Oct 21, 2007
i do not know how to do this at ALL!!
2. Oct 21, 2007
Rogerio
2 * log (x) = log(x) ^ 2
Log(x) = 0 is root
OR
2 = log(x)
Then
x=1
OR
x=100
3. Oct 21, 2007
i dont get it....
4. Oct 21, 2007
quetzalcoatl9
$$\ln (x^2) = 2 \ln (x) = \ln (x) \ln (x)$$
$$2 = \ln (x)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_989 | # Dividing factorials I'm told that <mstyle displaystyle="true" scriptlevel="0">
Dividing factorials
I'm told that $\frac{\left(n+1\right)!}{\left(n+2\right)!}$ simplifies to $\frac{1}{n+2}$, but I dont understand how this works.
Could someone explain the theory of how to divide factorials like this?
You can still ask... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_990 | ## A question about regular signed or complex Borel measure
Suppose $\nu$ is a regular signed or complex Borel measure on $\mathbb R^n$. By Lebesgue-Radon-Nikodym theorem, $d\nu=d\lambda+fdm$ where $m$ is the Lebesgue measure on $\mathbb R^n$ and $\lambda\bot m$. How to prove $d|\nu|=d|\lambda|+|f|dm$? I can only prov... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_991 | # Product of $n(n-1)/2$ polynomials of the same degree is symmetric
I am trying to prove a simple fact about polynomials in the multivariate polynomial ring $\mathbb{C}[x_1,x_2,...x_n]$, for $n \gt 3$ but I've been getting stuck.
EDIT: After a comment by Tad I realized that as stated the question is incorrect. A slig... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9744 | Summary of selected chapters:
# Chapter 3
• $f(n)=\Theta(g(n))$ is a sandwich bound ( = )
• $f(n)=O(g(n))$ is a tight upperbound ( ≤ )
• $f(n)=\Omega(g(n))$ is a tight lowerbound ( ≥ )
• $f(n)=o(g(n))$ is a loose upperbound ( $% $ )
• $f(n)=\omega(g(n))$ is a loose lowerbound ( $>$ )
e.g. $2n^2 = O(n^2)$ but $2n^2 \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9745 | # > Let $X$, $Y$, and $Z$ be three independent uniform random variables on $[0, 1]$. Compute the probability $P(XY < Z^2)$.
Let $X$, $Y$, and $Z$ be three independent uniform random variables on $[0, 1]$. Compute the probability $P(XY < Z^2)$.
Here is what I've done:
\begin{align} P(XY<Z^2) &= \int_{-\infty}^{\infty}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9746 | # Desperately seeking a fitting function
1. Aug 5, 2005
### Clausius2
I am seeking a function $$r=r(\eta)$$ for a computational mesh. It has to have the same shape as the one shown in the figure attached. This figure has been achieved via polinomical approximation, but it doesn't give me many chances to change param... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9747 | Categories
# Chords in a Circle | PRMO-2017 | Question 26
Try this beautiful Problem based on Chords in a Circle, Geometry from PRMO 2017, Question 26. You may use sequential hints to solve the problem.
Try this beautiful Problem based on Chords in a Circle, Geometry, from PRMO 2017.
## Chords in a Circle – PRMO 20... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9748 | # Reasoning puzzle involving five friends and five departments
Five friends A, B, C, D, and E are working in 5 different departments M, N, O, P and Q and they earn different salaries i.e. 10,000, 15,000, 20,000, 25,000 and 30,000 and they all are of different ages i.e. 24, 26, 28, 30 and 32 years. These all informatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9749 | # How do you evaluate 3^ln0.2?
Feb 24, 2017
${3}^{\ln 0.2} = 0.171$
#### Explanation:
Let ${3}^{\ln 0.2} = x$. Taking natural log on both sides, we get
$\ln 0.2 \ln 3 = \ln x$ and hence
$x = {e}^{\ln 0.2 \ln 3}$
= ${e}^{- 1.609 \times 1.0986}$
= ${e}^{- 1.76815} = 0.171$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9750 | # Textbook
### Problem 1.6.10
• My Solution
First, choose $z_0 = 0$ and $q(u) = u^8 + u^4 + u^2+1$. Flag pole is $1$. The position of the man is $u^2 + 1$. The leash is $u^8 + u^4$. $b_j = 1$. Now, we take $B= \max{1,1,1,1} = 1$. We take a $u =\rho$ and $\rho$ less than $\min{\frac{1}{(8-2)(1)}, \frac{1}{1}^{1/2}, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9751 | ## Putting It Together: Decimals
At the beginning of the module we met Andrew who was throwing a party for his friend Sophia. We want to determine how much he spent on food for the party, here is his list:
• 3 cakes at $20.15 each • $1\Large\frac{1}{2}$ pounds of almonds at$5.99 per pound
• $\Large\frac{1}{4}$ pound ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9752 | # Is there a noncommutative version of von Neumann's ergodic theorem.
The two most celebrated ergodic theorems are Birkhoff's ergodic theorem and von Neumann's ergodic theorem.
E. C. Lance in his remarkable work (Ergodic Theorems for Convex Sets and Operator Algebras) formulated that can be considered to be the nonco... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9753 | The reaction of iron (III) oxide and aluminum is initiated by heat released from a small amount "starter mixture". 10.5K views 4 Al(s)+ 3 O2(g)2 Al2O3(s) Aluminum reacts with oxygen to form a layer of aluminum oxide on the outside of the metal, according to HowStuffWorks. Relevance? Part A energy as the aluminum reacts... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9754 | Class of integrable 0/1-functions “with no null sets.”
I am looking for (the name of) a class of functions from $\mathbf{R}^2$ $(\mathbf{R}^n)$ to {0, 1} that are integrable.
Let $f$ be in this class and $E$ be the set of all points where $f$ is equal to $1$. Then for all $x\in E$, the following holds for all $r>0$: ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9755 | What is the probability that two siblings, ages 6 and 8 : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 16 Jan 2017, 23:41
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9756 | Language: Search: Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.
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Zbl 1252.65102
Ceng, L.-C.; Ansari, Q.H.; Yao, J.-C.
An extragradient met... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9757 | Question
\text { 3. Write }\left[\begin{array}{l} 6 \\ 4 \\ 5 \end{array}\right] \text { as a linear combination of the vectors }\left[\begin{array}{c} 3 \\ 1 \\ -1 \end{array}\right] \text { and }\left[\begin{array}{l} 1 \\ 4 \\ 2 \end{array}\right], \text { or determine that it is not possible. }
Fig: 1
### Submit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9758 | # Tag Info
## New answers tagged mean-reversion
0
Im not sure its very Paul clear. By your definition, a Brownian Motion is stationary. In fact, for a stochastic process, stationarity is defined as statistically invariant under translations. Try calculating this for the Brownian Motion and OU Process: $\forall A \in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_9759 | # Problem 57: Avoidability of Binary Words
Some patterns occur in all long enough words. They are said to be unavoidable. The notion obviously depends on the alphabet size and in the problem we consider binary patterns.
A word $w$ is said to avoid a set $X$ of words if no factor of $w$ belongs to $X$. The set $X$ is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18208 | ### Home > CC1 > Chapter 6 > Lesson 6.2.3 > Problem6-99
6-99.
Show how to divide 3 pieces of licorice among 4 people. How much does each person get? Homework Help ✎
First, draw a diagram to represent 3 pieces of licorice.
Then divide each of the three ''licorice'' into 4 pieces to represent the 4 people sharing the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18209 | 0
# How do you convert a percentage in fraction?
Wiki User
2009-12-29 22:48:56
You write the percentage over hundred, then see if you can simplify. Example: 35% = 35/100 = 7/20.
You write the percentage over hundred, then see if you can simplify. Example: 35% = 35/100 = 7/20.
You write the percentage over hundred... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18210 | # Handshake Problem - Machines
#### mathmari
##### Well-known member
MHB Site Helper
Hey!!
I am looking at the following problem:
There are $k$ couples and the host and the hostess. (So, in total $k+1$ couples.)
At the general greeting some people shake hands, others do not. Of course, nobody shakes hands with them... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18211 | In chapter 3.5 of Sutton's book, the value function is defined as:
Can someone give me some clarification about why there is the expectation sign behind the entire equation? Considering that the agent is following a fixed policy $$\pi$$, why there should be an expectation when the trajectory of the future possible sta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18212 | ## Implicit Function Theorem over arbitrary fields
Are there any restrictions on the ground field over which the implicit function theorem holds? In particular, does the theorem hold over function fields like $F_q((1/t))$?
-
The field $\mathbb{F}_q((1/t))$ is not a "function field", at least not according to my philo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18213 | ## anonymous 4 years ago Determine whether the equation defines y as a function of x. If it does, state y as a function of x x^2 + 9y^2 =1 y=?
1. IsTim
Are you to rearrange the equation so that "y" is by itself?
2. anonymous
i think so
3. IsTim
If so, subtract x^2 from both sides. Then divide both sides by 9. Aft... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18214 | Language: Search: Contact
Zentralblatt MATH has released its new interface!
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Zbl 1222.39022
Mohiuddine, S.A.; Şevli, H.
Stability of pexiderized quadr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_18215 | The MathNet Korea
Information Center for Mathematical Science
논문검색
Information Center for Mathematical Science
Tokyo Journal of Mathematics
( Vol.27 NO.1 / 2004 )
A Formula for the $A$-Polynomials of $(-2, 3, 1 + 2n)$-Pretzel Knots Pages 263-273 On the Iwasawa Invariants of $Z_2$-Extensions of Certain Real Quadrati... |
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