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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20320 | Account
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Solution - If a, b, c are the position vectors of the points A, B, C respectively and 2a+3b−5c=0, then find the ratio in which the point C divides line segment AB. - Basic Concepts of Vector Algebra
Question
If bara, barb, bar c are the position vectors of the points A, B, C ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20321 | ## A COMPUTATIONAL GRAMMAR OF SINHALA FOR ENGLISH-SINHALA MACHINE TRANSLATION
A COMPUTATIONAL GRAMMAR OF SINHALA FOR ENGLISH-SINHALA MACHINE TRANSLATION B. Hettige (08/8021) Degree of Master of Philosophy Department of Infor...
Author: Bruno Gilbert
A COMPUTATIONAL GRAMMAR OF SINHALA FOR ENGLISH-SINHALA MACHINE TRANSL... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20322 | ## bmelyk Group Title just wondering how to proceed with this problem. one year ago one year ago
1. bmelyk
Use the appropriate rule or combination of rules to find the derivative of the function defined below. y=$(16x-4)\sqrt{8x-2}$
2. bmelyk
i know i have to use my product rule, when i do that i get: (16x-4)(1/2)(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20323 | # Relativistic momentum problem
1. Aug 7, 2013
### la6ki
I've been trying to work on differential equations using several books and one of the first exercise questions I encountered already has me stuck.
The momentum p of an electron at speed v near the speed c of light increases
according to the formula p=mv/√(1-v... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20324 | # What is the molar mass of a gas that has a density of 1.18g/L at 25°C and 1 atm?
Mar 9, 2016
You can get this from the Ideal Gas Law.
#### Explanation:
We are going to solve this by first figuring out what the volume of one mole of a gas is at ${25}^{o}$C and 1 atm. Once we know how many liters of gas we need for... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20325 | In [1] it is stated that the Green’s function for the gradient is
G(x, x’) = \inv{S_n} \frac{x – x’}{\Abs{x-x’}^n},
where $$n$$ is the dimension of the space, $$S_n$$ is the area of the unit sphere, and
What I’d like to do here is verify that this Green’s function operates as asserted. Here, as in some parts of the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20326 |
# 4.2E: Maxima and Minima Exercises
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
## 4.2: Maxima and Minima Exercises
90) In precalculus, you learned a formula for the position of the maximum or... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20327 | # How does one conjugate psi(x,0)
1. Feb 14, 2006
### Noone1982
I am perplexed. My professor told me that I can conjugate:
$\psi \left( x,0 \right)$
However, I am confused. There is no time dependence, there is no i. It is like saying
z = a + 0i
z* = a - 0i
It is rather useless to even say that and it seems also... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20328 | # Math Help - Prove
1. ## Prove
Suppose that G is a group that has exactly one nontrivial proper subgroup. Prove that G is cyclic and |G|=p^2 where p is prime.
2. Originally Posted by mandy123
Suppose that G is a group that has exactly one nontrivial proper subgroup. Prove that G is cyclic and |G|=p^2 where p is pri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20329 | # Secretary problem - why is the optimal solution optimal?
I have read about this problem:
http://en.wikipedia.org/wiki/Secretary_problem
But I want to see how it is proven that the "optimal" solution is indeed optimal. I understand how to prove that if the optimal solution is of the form "wait for $t$ candidates an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20330 | A follow up question related to entropy - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T04:55:54Z http://mathoverflow.net/feeds/question/71636 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/71636/a-follow-up-question-related-to-entropy A follow up question ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20331 | ## Factorial digit sum: Project Euler Problem 20
$n!$ means $n\times(n-1)\times...\times2\times1$
For example, $10! = 10 \times 9 \times ... \times 3 \times 2 \times 1 = 3628800$,
and the sum of the digits in the number 10! is $3 + 6 + 2 + 8 + 8 + 0 + 0 = 27$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20332 | # Analyzing the Coefficient of a generating function and its asymptotic
The formula you refer to
$$frac{left(3+2 sqrt{2}right)^n}{2 sqrt{npileft(3 sqrt{2}-4right) } }$$ is an asymptotics.
Let $$n=10^k$$ and computing the logarithms of these monstrous numbers
$$left( begin{array}{ccc} k & text{approximation} & text{ex... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20333 | # Question c94d1
Jul 16, 2017
A projectile is projected from the origin with initial velocity $u$ making an angle $\theta$ with the horizontal as shown in the figure below.
Equation of the trajectory is given by the kinematic expression
$s = u t + \frac{1}{2} a {t}^{2}$.
As $x$ and $y$ components of the velocity o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20334 | # Confused on directions, List the elements in the subsets?
1. Oct 11, 2006
### mr_coffee
Hello everyone. There arn't any problems like this in this section, so i'm kind of lost on what they want. It says...
Let S = {a,b,c} and for each integer i = 0, 1, 2, 3 let $$S_i$$ be the set of all subsets of S that have i e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20335 | # What does the angular momentum vector really represent? [duplicate]
Angular momentum is defined as $$L = r \times p$$. By the definition of the cross product, $$L$$ is going to be orthogonal to both $$r$$ and $$p$$, and the magnitude $$|L|$$ tells us how much angular momentum the object has. What I am unclear of is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4832 | # Simple problem
Weave
## Homework Statement
A particle is moving along the curve $$y= 3 \sqrt(4 x + 4)$$. As the particle passes through the point (3, 12), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
## Homewor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4833 | # Is the group generated by two almost disjoint infinite cycles amenable?
Let $x$ and $y$ be two permutations of $\mathbb{Z}^2$ defined as follows. The permutation $x$ sends $(n,0)$ to $(n+1,0)$ and fixes all else while $y$ sends $(0,n)$ to $(0,n+1)$ and fixes all else. Is the group generated by $x$ and $y$ amenable?
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4834 | # the topologist's sine curve has the fixed point property
## Primary tabs
Major Section:
Reference
Type of Math Object:
Proof |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4835 | ### Sidebar
This is an old revision of the document!
# Chirality
## Why is it interesting?
Chirality is one of the fundamental labels we use to identify elementary particles. (Other labels are the mass or the electric charge.)
## Layman
Positive and negative chirality fermions are often described as being right-h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4836 | show that the operator $T:l^2\rightarrow V$ is bounded
Let $V$ be the Banach space of all sequences $v=\{\eta_j\}_{j=1}^\infty$ such that $\lim_{j\rightarrow\infty}\eta_j$ exists. The norm on $V$ is given by $\|v\|=\sup_{j\in \mathbb{N}}\eta_j$.
Consider the operator $T:l^2\rightarrow V$ defined by
$Tu = (\xi_1,\xi_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4837 | # zbMATH — the first resource for mathematics
Convergence qualification of adaptive partition algorithms in global optimization. (English) Zbl 0762.90071
The author considers the optimization problem $$\min f(x)$$, subject to $$x\in M$$, where $$M$$ is a bounded set, which is a closure of a non-empty open set of the r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4838 | 2.2.8 - z-scores
Often we want to describe an observation in relation to the distribution of all observations. We can do this using a z-score. By converting observations to z-scores, we can compare observations from different distributions.
z-score
Distance between an individual score and the mean in standard deviat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4839 | # Increasing the Action Gap: New Operators for Reinforcement Learning
This paper introduces new optimality-preserving operators on Q-functions. We first describe an operator for tabular representations, the consistent Bellman operator, which incorporates a notion of local policy consistency. We show that this local co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4840 | # Persistence in TGARCH
Consider the standard GARCH model:
$$\sigma^2_t = \omega + \alpha\varepsilon^2_{t-1} + \beta\sigma^2_{t-1}.$$
The so-called persistence parameter is defined as the sum $$\alpha+\beta$$.
And consider the GJR-GARCH model by Glosten et al. (1993):
$$\sigma^2_t = \omega + (\alpha+\gamma \mathbb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4841 | find the slope of the curve
• June 21st 2009, 02:18 PM
vtong
find the slope of the curve
The equation sin xy = y defines y implicitly as a function of x.
Find the slope y'(pi/3,1/2) at the point x=pi/3, y=1/2.
i know that y' = (ycos(xy))/(1-xcos(xy))
but i just dont know how to solve the problem when i plug in x and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4842 | Problems – We Solve Problems
Filter Problems
Showing 1 to 20 of 35 entries
#### Dissections (other) , Geometry on grid paper , Pigeonhole principle (finite number of poits, lines etc.)
15 points are placed inside a $4 \times 4$ square. Prove that it is possible to cut a unit square out of the $4 \times 4$ square that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4843 | periodic table with charges and electron configuration
Atomic properties from the periodic table (periodicity), atomic radius. Also know, what group in the periodic table all form ions with a charge of 1+? As described earlier, the periodic table arranges atoms based on increasing atomic number so that elements with t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4844 | ## Average Methods Example 4
The result obtained by adding several quantities together and then dividing this total by the number of quantities is called Average. This is the basic theory of average which applied in questions to obtain answers here is Average Methods of example 4 and shortcut tricks in different form ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4845 | # A parallelogram has a side length of 3 and the other side is 5. One angle equals 50 degrees. What are the lengths of the diagonals?
Nov 8, 2016
Lengths of diagonals (approx.): $7.3 \mathmr{and} 3.8$
#### Explanation:
Based on the image below:
$h = 3 \sin \left({50}^{\circ}\right) \approx 2.298133329$
$x = 3 \co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4846 | ×
# Need Help!
$\large a+\dfrac{1}{b+\dfrac{1}{c+\dfrac{1}{d+\dfrac{1}{e}}}}=\dfrac{2011}{1990}$
Find $$\large a+b+c+d+e.$$
Note by Abhay Kumar
2 years, 3 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4847 | # 2015 again
Algebra Level 3
Let $x$ be a non-real number that satisfy the equation $x^{4}=1$. Find the value of $\displaystyle \sum_{n=0}^{2015} \left (x^{n}+\frac{1}{x^{n}} \right)$.
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20480 | STATISTICAL CONCEPTS AND TECHNIQUES FOR TESTING DEPARTURES FROM NORMALITY IN THE MATHEMATICS TEACHER PREPARATION
• Journal title : Honam Mathematical Journal
• Volume 29, Issue 1, 2007, pp.83-100
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.1.083
Title & Authors
STATISTICAL CONCEPTS AND TE... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20481 | # statement logic, negation
• January 29th 2009, 01:53 AM
chtslip
statement logic, negation
Hi there, I need help with this one
Please provide the solution and explain
(I can only do simple statements myself, so I'm stumped here)
Negate the following statement:
$\forall$x $\in$R $\exists$y $\in$R, x+y=0
(for all real... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20482 | # Thread: Regression question regarding F-ratio
1. ## Regression question regarding F-ratio
Why does the F-ratio follow an F-distribution when the null hypothesis of equal grouped means is satisfied?
I'm really stuck on this.
I know that an F distribution is:
$\displaystyle \frac{\frac{\chi^{2}_1}{df_1}}{\frac{\ch... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20483 | # If A and B are two points having coordinates (3, 4) and (5, -2) respectively and P is a point such that PA = PB and area of triangle ΔPAB = 10 sq units, then the coordinates of P are:
This question was previously asked in
DSSSB TGT Maths Male Subject Concerned- 23 Sep 2018 Shift 1
View all DSSSB TGT Papers >
1. (2, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20484 | # Thread: Solving for a varible
1. ## Solving for a varible
I have an equation filled with variables, needing to solve for just one of them..
S = n*a + (n - 1)*d , solve for n
* = multiplication
what on earth do I do for this?
2. You can use the distributive property on $(n-1)d$ which is $nd-d$
Once you've done ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20485 | Math Help - Vector Spaces II
1. Vector Spaces II
Let V be a vector space over Z_p with dim V = n. How many elements are in V?
2. Originally Posted by Coda202
Let V be a vector space over Z_p with dim V = n. How many elements are in V?
$p^n$
3. Do you see why that's true. Every vector in the space can be written as ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20486 | # functional equation on integers with divisibility: \$f(a) + f(b)mid 2(a + b – 1)\$
Find all $$f : mathbb{N} to mathbb{N}$$ such that $$f(a) + f(b)$$ divides $$2(a + b – 1)$$ for all $$a, b in mathbb{N}$$.
$$boxed{f(x)=2x-1, f(x)=1}.$$
$$P(1,1) implies f(1)+f(1)| 2(1+1-1)=2implies f(1)=1$$
$$P(1,a)implies f(1)+f(a)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20487 | # A Hybrid Approach to Skeleton-based Translation
Tong Xiao${\dagger}{\ddagger}$, Jingbo Zhu${\dagger}{\ddagger}$, Chunliang Zhang${\dagger}{\ddagger}$
${\dagger}$ Northeastern University, Shenyang 110819, China
${\ddagger}$ Hangzhou YaTuo Company, 358 Wener Rd., Hangzhou 310012, China
{xiaotong,zhujingbo,zhangcl}@mai... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20488 | # Numerical Analysis by M Usman Hamid
These notes are initially provided by Mr. Anwar Khan. Later the updated version is send by Muhammad Tahir. We are really very thankful to Mr. Anwar Khan and Muhammad Tahir for providing these notes and appreciates their effort to publish these notes on MathCity.org
It covers the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20489 | # If the kinetic energy of a body becomes four times of its initial value, then the new momentum
This question was previously asked in
SUPER TET 2019 Paper I
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1. will be three times of the initial value
2. will be four times of the initial value
3. will be two times of the initial value
4. w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20490 | # How do you find the nth derivative of f(x) = sin^4(x) + sin^2(x)cos^2(x)?
Aug 14, 2015
${f}^{n} \left(x\right) = {2}^{n - 1} \left({\delta}_{0} + \cos \left(2 x + \frac{\left(n - 2\right) \pi}{2}\right)\right) \text{ } n \in {\mathbb{Z}}_{0}^{+}$
where ${\delta}_{0} = \left\{\text{_(0, " otherwise")^( 1, " } n = 0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20491 | # K-trivial, K-low and ML-low: a tutorial
This year Laurent Bienvenu (visiting Moscow) taught a course on Kolmogorov complexity and randomness; at the end he tried to present the equivalence between these three notion in a less formal and more easy-to-read way. After several discussions, we tried to write down an expo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20492 | # Analysis subsequential limits
1. Sep 13, 2010
### Conlan2218
1. The problem statement, all variables and given/known data
I missed the last class and I guess our teacher solved this problem and said it would be on our next quiz and I do not really understand how to do it.
Prove that
(i) lim sup sn is an element... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20493 | # The Best Estimate of A Big Number!
Algebra Level pending
Let $$A$$, $$B$$ and $$N$$ be real numbers. We say that $$A$$ is a better estimate of $$N$$ than $$B$$ if $$|N - A| < |N - B|$$ is fulfilled.
Which of the following is the best estimate of $$689^{1679}$$?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20494 | # Maximization over sub-ellipsoid
Let $x \in \mathbb{R}^n$ and $P$ a $n \times n$ positive definite symmetrix matrix. It is known that $\max_{x|~x^Tx\leq 1} x^TPx=\lambda_{\text{max}}(P)$, where $\lambda_{\text{max}}(P)$ is the largest eigenvalue of $P$.
Now split the vector $x$ in two parts as $x=\begin{bmatrix}x_1\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20495 | # Is the class of cardinals totally ordered?
In a Wikipedia article
http://en.wikipedia.org/wiki/Aleph_number#Aleph-one
I encountered the following sentence:
"If the axiom of choice (AC) is used, it can be proved that the class of cardinal numbers is totally ordered."
But isnt't the class of ordinals totally order... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5152 | # 2.2 Linear equations in one variable (Page 7/15)
Page 7 / 15
Find the equation of the line parallel to $\text{\hspace{0.17em}}5x=7+y\text{\hspace{0.17em}}$ and passing through the point $\text{\hspace{0.17em}}\left(-1,-2\right).$
$y=5x+3$
## Finding the equation of a line perpendicular to a given line passing t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5153 | # Mathematical logic
symbolic logic
The branch of mathematics concerned with the study of mathematical proofs and questions in the foundation of mathematics.
## Historical sketch.
The idea of constructing a universal language for the whole of mathematics, and of the formalization of proofs on the basis of such a la... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5154 | # Which number is equivalent to 3^4/3^2??
##### 1 Answer
Dec 13, 2016
${3}^{4} / {2}^{2} = 9$
#### Explanation:
Using the property that ${a}^{m} / {a}^{n} = {a}^{m - n}$, we have
${3}^{4} / {2}^{2} = {3}^{4 - 2} = {3}^{2} = 9$
Note that if we evaluated the numerator and denominator first, we would arrive at the s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5155 | # Våra forskare - Matematiska institutionen
Matrices Meaning - Collection The Ofy
Physics 251 Results for Matrix Exponentials and Logarithms Spring 2019 1. Properties of the Matrix Exponential Let A be a real or complex n × n matrix. The exponential of A is defined via its Taylor series, eA = I + X∞ n=1 An n!, (1) whe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5156 | IntMath Home » Forum home » Counting and Probability - Introduction » Permutation and combination
Permutation and combination [Solved!]
My question
i face difficulty to understand permutation and combinations can you give easy method to understand
3. Permutations
What I've done so far
X
i face difficulty to unde... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5157 | Quotition and partition
TheInfoList
OR:
In
arithmetic Arithmetic () is an elementary part of mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their chang ...
, quotition and part... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5158 | # Curl of a vector field
1. ### Fronzbot
62
1. The problem statement, all variables and given/known data
Assume the vector function A = ax(3x$$^{2}$$2y$$^{2}$$)-ax(x$$^{3}$$y$$^{2}$$)
a) Find $$\oint$$A$$\cdot$$dl around the triangular contour shown in Fig. 2-36 [it is a triangle with base and height of one on the x ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5159 | # A Question about compactness of an embedding into $L^p$ spaces
Assume $\Omega \subset \mathbb{R}^N$ is a smooth bounded domain. There is well known Hardy inequality that says
For any $u \in W_0^{1,2}(\Omega)$, $N\geq3$ we have $$\Lambda \int_{\Omega} \frac{u^2}{|x|^2} \, \mathrm{d}x \leq \int_{\Omega} |\nabla u|^2 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5160 | Indefinite Integral of a Function - Maple Programming Help
Indefinite Integral of a Function
Description Calculate the indefinite integral of a univariate function.
Enter the function as an expression.
> ${\mathrm{tan}}\left({x}\right){\mathit{+}}{\mathit{1}}$
${\mathrm{tan}}{}\left({x}\right){+}{1}$ (1)
Specif... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5161 | # A question on a double integral: $\int_{0}^{\pi}\int_{0}^{x}\frac{\sin y}{\pi-y}\,dy\,dx$
$$\int_{0}^{\pi}\int_{0}^{x}\frac{\sin y}{\pi-y}\,dy\,dx = \large{?}$$
For this question,I changed the order of limits and then tried the substitution for $(\pi-y)$ as $t$ and tried integration by parts but I couldn't proceed ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5162 | # Sum of infinite series
1. Jan 31, 2010
### astroboy17
I am trying to understand how to calculate the sum of the following
infinite series, can someone help please:
(5/7)2 - (5/7)3 + (5/7)4 - (5/7)5 + ...
The sum of such a series should be given by:
a / (1-r)
But the value of a = 0 (the first term = 0), hence m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5163 | 1. ## function probelm
Hey guys having some trouble with these ones still.
Find the domain of $f(x) = -12 / (-9 + x^2)$
Find the range of $f(w) = 3 / (\sqrt{w} - 8)$
Thanks
Hey guys having some trouble with these ones still.
Find the domain of $f(x) = -12 / (-9 + x^2)$
Find the range of $f(w) = 3 / (\sqrt{w} - 8... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5164 | ## Triangle area
I've just seen the following image on spikedmath.com:
Some geometry questions.
Source: spikedmath.com
The second answers seem to be obviously the correct ones, right? Wrong.
According to Heron's formula you can calculate a triangles area like this:
Let $a, b, c$ be the side lengths of the triangle... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5165 | # Give an algorithm to solve the connector problem where negative costs are allowed
A connector problem is defined as: given a graph G and a positive cost c_e for each e in E, find a minimum-cost spanning connected subgraph of G.
When the edge costs are all positive, this problem-type can be solved using Minimum Span... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5166 | Limits at Negative Infinity
So far we have discussed limits at some fixed numbers. In this section we shall be concerned with the limits at negative infinity.
Let us consider the function $f$ defined by the equation $f\left( x \right) = \frac{{2{x^2}}}{{{x^2} + 1}}$. Let $x$ take on the values 0, -1, -2, -3, -4, -5, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5167 | # If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous
Suppose $f:\mathbb{R} \supset E \rightarrow \mathbb{R}$ and $g: \mathbb{R} \supset E \rightarrow \mathbb{R}$ are uniformly continuous. Show that $f+g$ is uniformly continuous. What about $fg$ and $\dfrac{f}{g}$?
### My Attempt
Firstly let's stat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4512 | Copied to
clipboard
## G = C2×D14⋊3Q8order 448 = 26·7
### Direct product of C2 and D14⋊3Q8
Series: Derived Chief Lower central Upper central
Derived series C1 — C2×C14 — C2×D14⋊3Q8
Chief series C1 — C7 — C14 — C2×C14 — C22×D7 — C23×D7 — D7×C22×C4 — C2×D14⋊3Q8
Lower central C7 — C2×C14 — C2×D14⋊3Q8
Upper central... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4513 | ## Wikipedia - Auto-difusión (es) Wikipedia - Autodifusão (pt) Wikipedia - Özyayınım (tr) self-diffusion coefficient
https://doi.org/10.1351/goldbook.S05582
The @D01719@ $$D_{i}^{*}$$ of species $$i$$ in the absence of a @C01032@ @G02669@. It is related to the @D01719@ $$D_{i}$$ by $D_{i}^{*}=D_{i}\ \frac{\partial (\l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4514 | anonymous one year ago I need help on simplifying radicals, so could someone explain to me how to solve this? 2√16a^4b^2
1. Astrophysics
$2\sqrt{16a^4b^2}$?
2. anonymous
Yes.
3. Astrophysics
So since it's being multiplied you can split it all up as such $2\sqrt{16}\sqrt{a^4}\sqrt{b^2}$ can you simplify from there... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4515 | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 27 Nov 2015, 15:28
# Events & Promotions
###### Events & Promotions in June
Open Detailed Calendar
# GMAT Data Sufficiency (DS)
Question banks Downloads My Bookmarks Reviews Important topics Go to page Previous 1 2 3 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4516 | # College math questions and answers
Recent questions in Post Secondary
### A normal population has mean $$\displaystyle\mu={20}$$ and standard deviation $$\displaystyle\sigma={4}$$. What proportion of the population is less than 18?
Efan Halliday 2020-10-25 Answered
### A population of values has a normal distribu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4517 | Remark 36.35.14. Our Definition 36.35.1 of a relatively perfect complex is equivalent to the one given in whenever our definition applies1. Next, suppose that $f : X \to S$ is only assumed to be locally of finite type (not necessarily flat, nor locally of finite presentation). The definition in the paper cited above is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4518 | # zbMATH — the first resource for mathematics
## Dong, Yunbai
Compute Distance To:
Author ID: dong.yunbai Published as: Dong, Yunbai; Dong, Y.; Dong, Yun Bai; Dong, Y. B.
Documents Indexed: 37 Publications since 1999
all top 5
#### Co-Authors
5 single-authored 7 Cheng, Lixin 5 Zheng, Bentuo 3 Cheng, Qingjin 3 Da... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4519 | # Find the particular solution of the differential equation dydx + ycos(x) = 6cos(x) satisfying the...
## Question:
Find the particular solution of the differential equation dydx + ycos(x) = 6cos(x) satisfying the initial condition y(0) = 8.
## First Order Differential Equation:
A differential equation relates a fu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4520 | # Self-energy in two scalar Yukawa interaction
Considering the Lagrangian of two scalar fields in $$d=4$$: $$\mathcal{L}=\frac{1}{2}(\partial\phi)^2-\frac{1}{2}m^2\phi^2+\frac{1}{2}(\partial\chi)^2-\frac{1}{2}M^2\chi^2-g\phi^2\chi$$
What would be the self-energy (diagrams, first order) for the $$\chi$$-particle? The ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4521 | (a) A car number plate has three letters of the alphabet followed by three digits selected from the digits 1,2,…,9. , CRCKT, (IE) Thus we have total 6. The second letter has no restriction, so there are 26 possibilities for that one. How many different license plates can be made using 2 letters followed by 4 digits, if... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4522 | # Catalogue of min-balanced systems on small sets
This catalogue contains all permutational types of non-trivial min-balanced systems on sets having at most $$5$$ elements. We present a number of characteristics of these permutational types. In order to shorten the notation we write $$abc$$ instead of $$\{a,b,c\}$$.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4523 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE
General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
Sibirsk. Mat. Zh.: Year: Volume: Issue: Page: Find
Sib... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4524 | # Stubbs
In 1987 Chris Stubbs sent a letter to the editor of the Astrological Journal. He gives arguments for the use of the housesystem of Morin but he proposes to use the cusps from Morin as centers of the houses and not as the beginnings.
He describes how Morin divides the equator and then mentions: These points ar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4525 | • # question_answer 5) Direction: Match the second pair of numbers in the same way as the first pair in each of the following questions. 8 is to 256 as 6 is to ______. A) 106 B) 202 C) 205 D) 108
$\frac{8\times 8\times 8}{2}=256\Ri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4526 | # Existence of discontinuous linear functional on arbitrary infinite dimensional normed vector space without Axiom of Choice
The title says it all. Given an arbitrary infinite dimensional normed vector space $X$, can you show there exists a discontinuous (perhaps unbounded) linear functional on $X$ without resorting t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4527 | ## Algebra: A Combined Approach (4th Edition)
$(x-4)^{2}$ + $(y-1)^{2}$ = 4 Centre = (4, 1) Radius = 2 |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11136 | # Math Help - Solution to a distance travelled problem
1. ## Solution to a distance travelled problem
I have the following question in an assignment,
A particle moves along a straight line so that at time t seconds its velocity, is given by
$v=\frac{t+1}{t^2+1}$
Find the distance travelled in the first second.
So... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11137 | # Formula Chart of the SAT® Problem Solving and Data Analysis Questions
If you thought math wasn’t about everyday life, then the SAT® Problem Solving and Data Analysis questions are going to change your mind! These questions are all about solving problems you’ll really face in the future, such as finding rates, unders... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11138 | # Return to Revisions
3 of 3
replaced http://mathoverflow.net/ with https://mathoverflow.net/
The question Polynomial representing all nonnegative integers asked by Poonen has been on MO for a very long time. (It should possibly be mentioend that it was asked elsewhere earlier, in particular on Poonen's website.) It ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11139 | Still have math questions?
Probability
Question
Event A and B are independent. Find the indicated Probability.
$$P(A)=0.44$$
$$P(B)=?$$ (round answer to three decimal places)
$$P(A\text{ and }B)=0.16$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11140 | Search by Topic
Resources tagged with Interactivities similar to Can You Explain Why?:
Filter by: Content type:
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There are 151 results
Broad Topics > Information and Communications Technology > Interactivities
Semi-regular Tessellations
Stage: 3 Challenge Level:
Semi-regular tessellations ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11141 | ## Uniform Distribution
A distribution which has constant probability is called a uniform distribution, sometimes also called a Rectangular Distribution. The probability density function and cumulative distribution function for a continuous uniform distribution are
(1) (2)
With and , these can be written
(3) (4)
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11142 | # Bohr model of atom
1. Apr 17, 2009
### roshan2004
How can I calculate the potential energy of the electron when we bring it from the infinity to the distance r?
2. Apr 17, 2009
### xepma
-Use the fact that energy-gain when an electron moves from a to b is given by $$e*\Delta U$$. (e = electric charge, $$\Delta ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11143 | # Pohlmeyer reduction of string theory for flat and AdS spaces
The definition of Pohlmeyer invariants in flat-space (as per eq-2.16 in Urs Schreiber's DDF and Pohlmeyer invariants of (super)string) is the following:
$Z^{\mu_1...\mu_N} (\mathcal{P}) = \frac{1}{N} \int\limits_0^{2\pi} d\sigma^1 \int\limits_{\sigma_1}^{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11144 | # Mathematical Induction
AerospaceEng
## Homework Statement
Consider the sequence of real numbers x1, x2, x3,.... defi ned by the relations x1 = 1
and xn+1 =$$\sqrt{1 + 2xn}$$
1. Use mathematical induction to show that xn+1 > xn
for all n $$\geq$$ 1.
## The Attempt at a Solution
I'm a bit thrown off by this ques... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11145 | Recognitions:
Gold Member
## Is Bell's theorem near-sighted?
Quote by spenserf http://arxiv.org/pdf/quant-ph/0607057v2.pdf
Well, Travis is a die hard* Bohmian. So take his paper with a grain of salt. His point of view is one, there are at least as many papers written than should be titled "Against Locality" (keeping... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11146 | CSIR NET Follow
May 20, 2020 3:04 pm 50 pts
ule real axis and nowhere elsee 19. Let v: [0, 1 > C be defined by vt) = e4Tut. Then e 2r dz= (A) 0 (B) 1 (C) 2 (D) 4ti 20. Let fz) = cosec for z 1, z E C. Then at the point z =1, fhas (A no Singularity (B) a removable singularity (C) a pole (D) a non-isolated singularity
• 0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11147 | JAM 2022 [ 41 -50]
Let X1 and X2 be two independent and identically distributed random variables having \chi_2^2 distribution and W = X1 + X2. Then P(W> E(W)) equals _____________ (round off to 2 decimal places)
Since X1 and X2 are two independent and identically distributed random variables having chi-square distrib... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11148 | ## College Algebra (6th Edition)
a. Natural Number is $\sqrt 64$ only b. Whole numbers are 0 and $\sqrt 64$ c. Integers are 0, $\sqrt 64$ and -11. d. Rational numbers are -$\frac{5}{6}$, 0.75, 0 , $\sqrt 64$ , -11 e. Irrational numbers are $\sqrt 5$ and $\pi$. f. All the numbers in the given set { -11, -$\frac{5}{6}$,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11149 | # Parent Functions
In mathematics, a parent function is the simplest form of a family of functions. It is the unmodified version of a function from which all other functions in the family can be derived.
Parent functions are the basic forms of various families of functions. In short, it represents the simplest form o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11150 | # PIMS Hugh C. Morris Lecture: Conditional Expectation and Calderón-Zygmund Operators
Rodrigo Bañuelos, Purdue University
Thursday, May 23, 2019 - 2:30pm to 3:30pm
Gowen 201
In his 1983 research announcement "Some results in harmonic analysis in \$\mathbb{R}^n\$, for \$n\to\infty\$" (Bulletin of the AMS), E.M. Stein ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11151 | ## Computation of multiples of Christoffel words. (Calcul de multiples de mots de Christoffel.)(French)Zbl 0827.11015
A Christoffel word $$f$$ is a finite or infinite word on the alphabet $$X= \{0, 1\}$$ such that for each finite prefix $$f'$$ of $$f$$ one has $$\rho (f')= \max\{ \rho(u)$$; $$u\in X^*$$, $$|u|= |f'|$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4384 | ## Fall 2015, problem 5
Let $p$ be a prime number. Prove that there are infinitely many integer multiples $kp$ of $p$ where the last ten digits are all distinct.
2 years ago
Since $gcd (p,10^{10}) = 1$ there are natural numbers $a, b$ such that
$$a p = b \cdot 10^{10} + 1$$
This is the well known $gcd$ theorem. No... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4385 | # Global Analysis Seminar 2019
Temple-Rutgers Global Analysis Seminar
Current contacts: Gerardo Mendoza (Temple) and Siqi Fu and Howard Jacobowitz (Rutgers)
The seminar takes place Friday 3:00 - 3:50 pm in Wachman 527 for talks at Temple, or 319 Cooper, Rm 110, for talks at Rutgers-Camden. Click on title for abstrac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4386 | My Math Forum Rate expression
Chemistry Chemistry Forum
February 19th, 2018, 12:20 AM #1 Newbie Joined: Feb 2018 From: Iran Posts: 16 Thanks: 3 Rate expression Pb (aq)+2I (aq)=PbI2 If the concentration of pb ions is increased twice and the concentration of of I ions is reduced by half? How would the rate of the r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4387 | # Is there a difference between the $R^2$ statistic of a linear regression and pearson correlation? [duplicate]
Is there any difference between $R^2$ that we get from linear regression and pearson correlation?
## marked as duplicate by Silverfish, hxd1011, Matthew Gunn, mdewey, gung♦ regression StackExchange.ready(fu... |
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