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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2486 | # The ratio of the leg of an isosceles triangle to its base is 4: 3. The perimeter of the triangle is 132. How do you find the length of the base?
Oct 23, 2016
The base has a length of 44.
#### Explanation:
Remember that a triangle has 3 sides, but because it is an isosceles triangle we only need to know two length... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2487 | 1. ## Helpppp!!!!!!!
Solve For b: ax(squared) + bx+c=y.
Three times the larger of 2 consecutive even intergers, decreased by the smaller is 58. Find the numbers.
Find 3 consecutive intergers such that the sum of the first two is 74 more than the third.
A pipe is 48 inches long. David wants to cut the pipe into thre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2488 | # Convert day to second
Swap conversion: second to day
## Facts and Curiosities
The Day is a unit of time generally defined as an interval equal to 24 hours. One day, it is understood as the period of time, that the Earth leads to make a rotating movement around itself. Mainly due to the effects of the tides, this p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2489 | # How do you factor completely x^5+8x^3+2x-15?
Jan 13, 2017
This quintic has no factors expressible in terms of elementary functions.
#### Explanation:
Given:
$f \left(x\right) = {x}^{5} + 8 {x}^{3} + 2 x - 15$
If we can find the zeros of $f \left(x\right)$ then we can deduce its factors.
$\textcolor{w h i t e}{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2491 | ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$-3t^3-t^2-t+6$
Removing the grouping symbols, then the given expression, $(7+t-5t^2+2t^3)-(1+2t-4t^2+5t^3)$, is equivalent to \begin{array}{l} 7+t-5t^2+2t^3-1-2t+4t^2-5t^3 .\end{array} By combining like terms, then \begin{array}{l} (2t^3-5t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2492 | Integration
## Indefinite Integration
The following quote from Reference [1] can clarify a lot of confusion about indefinite integration: […] |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2494 | Suggested languages for you:
Americas
Europe
22 PE
Expert-verified
Found in: Page 82
### College Physics (Urone)
Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000
# A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of $${\bf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2495 | # Tangent
• March 7th 2010, 03:08 PM
skeske1234
Tangent
Show that the tangent to the curve y=(x^2+x-2)^3 +3 at the point (1,3) is also tangent to the curve at another point.
Just a question about how I get the answer to this question.. is this method correct?
I find the derivative of y. Then find the equation of the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2480 | ## transitive property example
By
The following 3 + 2 is our letter b, or our second toy truck. Get access risk-free for 30 days, Action verbs describe physical or mental actions that people or objects do (write, dance, jump, think, feel, play, eat). Let's see. and career path that can help you find the school that's... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2481 | # Simple hypothesis testing
Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions.
You might need: Calculator
### Problem
Niels has a Magic 8-Ball, which is a toy used for fortune-telling or seeking advice. To consult the ball, you ask the ball a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2482 | Cheap and Secure Web Hosting Provider : See Now
[Solved]: How to prove that the minimum square partition of a 3X2 rectangle has 3 squares
, ,
Problem Detail:
This question is motivated by an older question about tiling an orthogonal polygon with squares.
Given a $3\times 2$ rectangle like the first image, the secon... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2490 | find center of mass on the variable density plates
Find center of mass of the upper half $y\ge 0$ of the disk bounded by the circle $x^2 +y^2=4$ with the $p(x,y)=1+ y/2$
First i have calculated the mass and i got $\int\limits_{-2}^{2}\int\limits_{0}^{\sqrt{4-x^2}}1+\frac{ y }{ 2 }dydx = \frac{ 8 }{ 3 }+2\pi$ is that ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1584 | How do you write 4 hundred thousand in scientific notation?
2 Answers
Mar 19, 2018
$400 000 = {4.10}^{5}$
Explanation:
First let's put numbers on words. 4 hundred thousands is 400 000. Scientific notation have to be compound with a number between 0 and 10, completed with zeros. So We have :
$400 000 = {4.10}^{5}$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1585 | ### Exponential Growth For Dummies
With this book, youll. Exponential growth has apparently been observed for isolated plants of desert annuals growing in their natural environment while Turnbull et al. Let’s model this. We can see this result by writing it as a product where the xa is repeated b times: (xa)b = xa × x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1586 | # Curvature-homogeneous metrics in dimension 3. Stony Brook University Colloquium Series. Stony Brook University Mathematics Department. April 28, 2016
Invited Talk
A Riemannian manifold $(M,g)$ is said to be {\it curvature-homogeneous} if it is homogeneous to second order, i.e., if, for any two points in $M$, the Ri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1588 | # Finding the stationary points and their types
I am trying to calculate the local maximum and minimum of $f(x, y) = x$$3$$y$$2$$(2 − x − y)$, however I seem to keep running into issues. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1589 | # For an ABCD parameter of a transmission line, which of the following is correct?
For an ABCD parameter of a transmission line, which of the following is correct?
#### SOLUTION
ABCD parameters are also known as transmission line parameters.
We know that the ABCD parameter of the transmission line
$\left[ {\begin{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1591 | # Facts about internal and external path lengths of binary tree
While learning binary tree's properties, I came across internal path length and external path length, number of comparisons required for successful and unsuccessful search.
My book specifies some facts about these as follows:
1. $S_n=1+\frac{U_0+U_1+...... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1592 | Applying Newton's laws to find forces
1. Feb 18, 2013
Mangoes
1. The problem statement, all variables and given/known data
"A 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp. The cable makes an angle of 31 degrees above the surface of the ramp, and the ramp itself rises at 25 degr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1593 | # Presentations of superperfect groups
Are there non-trivial superperfect groups with the property that there exists a presentation of the group where the number of generators equals the number of relations?
Yes, for example ${\rm SL}(2,5) \cong \langle a,b \mid a^2=b^{-3}=(ab)^5 \rangle$.
Furthermore, it is proved ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1594 | # How do you simplify (root3(6)*root4(6))^12?
Mar 19, 2017
${\left(\sqrt[3]{6} \cdot \sqrt[4]{6}\right)}^{12} = {6}^{7} = 279936$
#### Explanation:
We need the rules:
• $\sqrt[m]{x} = {x}^{\frac{1}{m}} \text{ "" } \textcolor{red}{\star}$
• ${x}^{a} \cdot {x}^{b} = {x}^{a + b} \text{ "" } \textcolor{g r e e n}{\sta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1595 | # Mass of disk given mass per unit
1. Apr 12, 2013
### aaronfue
1. The problem statement, all variables and given/known data
I need to find the mass of a disk with a hole, given inner and outer diameters of 0.10m and 0.30m, respectively. The disk has a mass per unit of 20 $\frac{kg}{m^2}$.
3. The attempt at a solu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1596 | # What's the difference between saddle and inflection point?
As far as I know, inflection point is a point where the concavity of the function changes. These points can be found by taking the second derivative and check if it is 0 and see whether the concavity actually changes on the either sides of the point.
I saw ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1597 | You are currently browsing the tag archive for the ‘pi’ tag.
H. C. Chan, $\pi$ in terms of $\phi$: Some Recent Developments, Proceedings of the Twelfth International Conference in Fibonacci Numbers, (2010): 17-25. Read Pi in terms of Phi (Fib Conf 2006).
H. C. Chan, $\pi$ in terms of $\phi$, Fibonacci Quart. 44 (2006... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1599 | ## Intermediate Algebra (12th Edition)
$\frac{5}{0}=5\div0=undefined$ In general, we cannot divide a number by 0, so any number divided by 0 will have an undefined quotient. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1598 | # The Tutte polynomial
@article{Crapo1969TheTP,
title={The Tutte polynomial},
author={Henry Crapo},
journal={aequationes mathematicae},
year={1969},
volume={3},
pages={211-229}
}
• H. Crapo
• Published 1 October 1969
• Mathematics
• aequationes mathematicae
$q$-Matroids are defined on complemented modular support latt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1587 | # A proof that right adjoints preserve limits?
Assume that categories $\mathscr{B}$ and $\mathscr{C}$ have all limits of shape $\mathbf{J}$. Then there's a slick proof that if $G\colon \mathscr{C} \to \mathscr{B}$ is a right adjoint, $G \circ Lim_\mathscr{C} \cong Lim_\mathscr{B} \circ [\mathbf{J}, G]$.
[$Lim_\mathsc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3313 | # [SOLVED] Cal2 Integral Word Problem (finding average)?
• January 31st 2010, 09:36 AM
racewithferrari
[SOLVED] Cal2 Integral Word Problem (finding average)?
(a) A cup of coffee has temperature 95 C and takes 30 minutes to cool to 61 C in a room with temperature 20 C. Use Newton's Law of cooling system to show that th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3315 | Cholesterol Is A Phospholipid True Or False, Benefits Of Eating Scoby, Best Korean Cookbook, Brought In A Sentence, Short Story Using Articles, You Make Me Sick Lyrics Of Mice, Machine Drawing Multiple Choice Questions, " />
# angular momentum of electron in hydrogen atom is proportional to
Posted by: | Posted on: No... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3316 | # §20.15 Tables
Theta functions are tabulated in Jahnke and Emde (1945, p. 45). This reference gives $\mathop{\theta_{j}\/}\nolimits\!\left(x,q\right)$, $j=1,2,3,4$, and their logarithmic $x$-derivatives to 4D for $x/\pi=0(.1)1$, $\alpha=0(9^{\circ})90^{\circ}$, where $\alpha$ is the modular angle given by
20.15.1 $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3317 | # Correlation : How is correlation analogous to dot product?
Till now I know correlation tells about similarity. I was watching a video lecture on image similarity in which I came to know that correlation is analogous to dot product. And hence correlation of two images is maximum when these images are similar as happe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3318 | # Example of a function differentiable in a point, but not continuous in a neighborhood of the point?
Is there a function that is differentiable in a point $x_0$ (and so continuous of course in $x_0$) but not continuous in a neighborhood of $x_0$ (as said, besides the point $x_0$ itself)?
Can anyone suggest me an exa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3320 | # Problems with x/∞ [duplicate]
If $\dfrac {x} {\infty }=0,$ where $x$ is a finite number, than wouldn't $0\cdot \infty$ be equal to any number? Making this not work?
• What does $\frac{x}{\infty}$ mean? – Michael Albanese Apr 19 '15 at 3:29
• What is $\infty/\infty$? – Daniel W. Farlow Apr 19 '15 at 3:29
• $\infty$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3321 | ### Home > GB8I > Chapter cc41 > Lesson cc41.2.2 > Problem1-50
1-50.
Solve each equation below. Check each solution. Homework Help ✎
1. $6−x−3=10$
• Isolate x on one side.
x = −7
1. $100x+300=200$
• Start by subtracting 300 from both sides of the equation.
1. $\frac{1}{3}x+4=x−2$
• Multiply the whole equation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3322 | RoseCode
Problem #441
Polygons ratio
Public ★(x12) 10/20/17 by Philippe_57721 6xp Math 66.7%
ABCD is a parallelogram.
From each vertex, we join the middle of the 2 opposites sides
F is the middle of BC
E is the middle of CD
We draw the lines AF and AE
We draw thus 8 lines which define an octogon.
What is $\frac{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3323 | • Corpus ID: 8296624
# Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices
```@article{Farb2008ProblemsOA,
title={Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices},
author={Benson Farb and G. Christopher Hruska and Anne Thomas}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3324 | # Difference between revisions of "2021 AMC 10B Problems/Problem 11"
## Problem
Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size and shape, with straight cuts parallel to the sides of the pan. Each cut must be made entirely across the pan. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3326 | # Chapter 9 Regression
BLUF: Use regression, which is one of the two supervised learning tasks (the other being classification) to make predictions of new observations of numeric response variables. Start by randomly splitting the data (which includes both the response and the features) into a test set and a training ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3319 | Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
Initially assume ZFC.
Let $\binom{\kappa}{\lambda}$ denotes $\left|[\kappa]^{\lambda}\right|$ where $[\kappa]^{\lambda}$ is the collection of all subsets of $\kappa$ with cardinality $\lambda$. That is, the number of subsets of $\kappa$ of size $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3325 | # Daily Archives: April 7, 2012
## Gutenberg-Richter
In a comment on the last post, it was mentioned that the frequency of earthquakes of any given magnitude or greater will be given by the Gutenberg-Richter law. It states that the expected number of earthquakes in a given region over a given span of time, of a given... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3327 | # Polar coordinates in mecanics?
1. Oct 7, 2008
### Patrick.Gh
Ok, here is my problem. I haven't taken anything vector related since at least one year ago. And back then, I wasn't such a good student.. So now my past has come back to haunt me..
I still have some basic notions, but other than that, I pretty much forg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10256 | # Toronto Math Forum
## MAT334-2018F => MAT334--Lectures & Home Assignments => Topic started by: Huanglei Ln on November 18, 2018, 04:01:10 AM
Title: 2.5 Q19
Post by: Huanglei Ln on November 18, 2018, 04:01:10 AM
Can anyone help me this question? Thanks!
Suppose that the Laurent series $\sum\nolimits_{-\infty}^{+\inf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10258 | Want to ask us a question? Click here
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# If 4 moles of an ideal monoatomic gas at temperature $400 \;K$ is mixed with 2 moles of another ideal monoatomic gas at temperature $700\;K$ the temperature of the mixture is :
$\begin {array} {1 1} (a)\;550^{\circ}C & \quad (b)\;500^{\circ}C \\ (c)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10260 | Linear Algebra/Topic: Computer Algebra Systems/Solutions
Solutions
Answers for this Topic use Maple as the computer algebra system. In particular, all of these were tested on Maple V running under MS-DOS NT version 4.0. (On all of them, the preliminary command to load the linear algebra package along with Maple's res... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10261 | ### Home > CCA2 > Chapter 12 > Lesson 12.1.1 > Problem12-18
12-18.
Factor and reduce the rational expression to simplify $\frac { 5 x + 10 } { x ^ { 2 } + 6 x + 8 }$. Justify each step.
$\frac{5(x+2)}{(x+2)(x+4)}$
$\frac{5}{x+4}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10262 | # Square Numbers whose Divisor Sum is Square/Examples
## Examples of Square Numbers whose Divisor Sum is Square
### $\sigma_1$ of $9^2$ is Square
$\map {\sigma_1} {9^2} = 11^2$
### $\sigma_1$ of $20^2$ is Square
$\map {\sigma_1} {20^2} = 31^2$
### $\sigma_1$ of $180^2$ is Square
$\map {\sigma_1} {180^2} = 341^2$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10263 | ## anonymous one year ago Is relation t a function? Is the inverse of relations t a function? Relation t x 0 2 4 6 y -8 -7 -4 -4
1. anonymous
A. Relation t is a function. The inverse of relation t is not a functions. B. Relation t is not a function. The inverse of relation t is a function. C. Relation t is not a func... |
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# Find the Point on the Parabolas X2 = 2y Which is Closest to the Point (0,5) ? - CBSE (Arts) Class 12 - Mathematics
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#### Question
Find the point on the parabolas x2 = 2y which is closest to the point (0,5) ?
#### Solution
$\t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10265 | # This is Daily Work 14.
Let $$\phi \colon G \to H$$ be an isomorphism between the groups $$G$$ and $$H$$.
Which of the following observations would guarantee that $$G$$ is not isomorphic to $$H$$ ?
If $$a \in G$$ is not the identity element, and $$H$$ is a subgroup of $$G$$, which of the following sets is guaranteed ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10266 | # Final equilibrium temperature of a negative temperature body and positive temperature body
Suppose system A, with a positive temperature $T_A=|T_0|$, interacts with system B, with negative temperature $T_B=-|T_0|$.
What will be the final equilibrium temperature of the whole system(assuming everything is completely ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10267 | # Explain why there are two complex numbers z such that $|z| = 1$ and that satisfy the equation $|z| = |z-1|.$
I must find both such complex solutions and express them in Euler form and usual form.
So it's been a while since I've touched the imaginary/real plane. However, from what I remember, $z = a + bi$. If $|z| =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10268 | # Prim
Chapters
1. [00:00] Einführung
2. [01:27] Der Algorithmus von Prim anhand eines Beispiels
3. [06:59] Korrektheitsbeweis für den Algorithmus von Prim
4. [11:14] Das sieht doch aus wie der Algorithmus von Dijkstra?
5. [12:07] Wie lautet die Invariante?
6. [12:40] Warum ist der Algorithmus korrekt?
7. [13:00] Wie ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10269 | ## Examples from Sym
Sym comes with several example documents. All of the equations on this page were created by exporting content from the MathExamples example document that is included with Sym. To do this export you first choose the HTML exported and then either export an entire document from Sym or copy and paste ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10270 | # Homework Help: Combinations Problem
1. Oct 14, 2005
### amcavoy
I was thinking that I could solve this with combinations. However, I am unsure of how to use it in this case. If I remember correctly, the combinations are given by:
$$\begin{pmatrix}n \\ r\end{pmatrix}=\frac{n!}{r!\,\left(n-r\right)!}$$
Hmm. Any th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10271 | # Tag
Sort by:
### Complete bipartite graph
A complete bipartite graph, sometimes also called a complete bicolored graph (Erdős et al. 1965) or complete bigraph, is a bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent) suc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10257 | # What are the extrema of g(x) = 5x-80? on the interval [-1,10]?
Apr 26, 2018
The local extrema are $x = - 1$ and $x = 10$
#### Explanation:
The extrema of a function can be found where the first derivative is equal to zero. In this case the function is a line, so the end points of the function in the designated ra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21233 | Classes for ADMM algorithm for the BPDN problem
Classes
GenericBPDN(D, S[, opt]) Base class for ADMM algorithm for solving variants of the Basis Pursuit DeNoising (BPDN) [11] problem. BPDN(D, S[, lmbda, opt]) ADMM algorithm for the Basis Pursuit DeNoising (BPDN) [11] problem. BPDNJoint(D, S[, lmbda, mu, opt]) ADMM a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21234 | Journal für die reine und angewandte Mathematik ( IF 1.486 ) Pub Date : 2021-01-09 , DOI: 10.1515/crelle-2020-0048
Thomas Krämer
We show that any Weyl group orbit of weights for the Tannakian group of semisimple holonomic $𝒟$-modules on an abelian variety is realized by a Lagrangian cycle on the cotangent bundle. As ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21235 | Difference between revisions of "2010 AMC 10A Problems/Problem 8"
Problem 8
Tony works $2$ hours a day and is paid $$0.50$ per hour for each full year of his age. During a six month period Tony worked $50$ days and earned$$630$. How old was Tony at the end of the six month period?
$\mathrm{(A)}\ 9 \qquad \mathrm{(B)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21236 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
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Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find
Zh. Vyc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21237 | # Prove the perpendicular bisector of a chord passes through center
• May 1st 2012, 02:35 PM
Ragnarok
Prove the perpendicular bisector of a chord passes through center
Hello, I need some help again. I need an algebraic proof of this theorem:
The perpendicular bisector of a chord of a circle passes through the center ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21238 | # Spectral Theory (math.SP)
• Boundary value problems for Sturm-Liouville operators with potentials from the class $W_2^{-1}$ on a star-shaped graph are considered. We assume that the potentials are known on all the edges of the graph except two, and show that the potentials on the remaining edges can be constructed b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21239 | # American Institute of Mathematical Sciences
March 2012, 2(1): 1-16. doi: 10.3934/mcrf.2012.2.1
## Exponential stability of a general network of 1-d thermoelastic rods
1 Université de Sfax, Institut Supérieur d’Informatique et du Multimédia de Sfax, Pôle technologique, Route de Tunis, km 10, B.P. 242, Sfax 3021, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21240 | # zbMATH — the first resource for mathematics
The transitive permutation groups of degree 32. (English) Zbl 1175.20004
The methods and the results of a computation of a data base of all transitive permutation groups of degree $$32$$ are described. There are $$2,801,324$$ conjugacy classes of such groups in $$\text{Sym... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21241 | # Permutation on $\omega$ and Ramsey ultrafilter
let $$\pi:\omega\to\omega$$ be permutation and $$\mathcal{F}$$ is Ramsey selective ultrafilter on $$\omega$$. There are uncountable many increasing subsequences of $$\pi$$. Can one proof that one of them has domain in $$\mathcal{F}$$ ?
• Assuming that "growing" means m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21243 | 6) () Write & definite integral (do not evaluate) that represents the area under the curve y=e over the intenval
Question:
6) () Write & definite integral (do not evaluate) that represents the area under the curve y=e over the intenval [-1I]: Sketch the curve and the region represented by the integral.
Similar Solve... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21244 | # Calculating pm problem: $5$ man and $5$ women running in a race
Let's say there are $5$ man and $5$ women running in a race. Let the variable X that indicates the highest position in ranking for a woman. So, for example, if $X = 1$, that means that a woman took first place(any woman) and if $X = 6$, that means that ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21245 | # Order of Group Element in Group Direct Product
## Theorem
Let $G$ and $H$ be finite groups.
Let $g \in G: \order g = m, h \in H: \order h = n$.
Then $\order {\tuple {g, h} }$ in $G \times H$ is $\lcm \set {m, n}$.
## Proof
Let $G$ and $H$ be a groups whose identities are $e_G$ and $e_H$.
Let $l = \lcm \set {m,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21247 | # Relations between coefficient and exponent of Proth prime form $k\cdot 2^n+1$?
Definition: Proth number is a number of the form :
$$k\cdot 2^n+1$$
where $k$ is an odd positive integer and $n$ is a positive integer such that : $2^n>k$
My question : If Proth number is prime number are there some other known relatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21246 | Question
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in$126 the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price eac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21232 | # Properties of an elementary substructure
Let $M$ and $N$ be structures for a first order language $L$, with $M$ an elementary substructure of $N$. This means that $M$ is a substructure of $N$ and if $\varphi(x_1,\ldots,x_n)$ is a formula with free variables, and $m_1,\ldots,m_n$ are elements of $\operatorname{dom}(M... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9713 | ## August 28, 2017
### Schröder Paths and Reverse Bessel Polynomials
#### Posted by Simon Willerton
I want to show you a combinatorial interpretation of the reverse Bessel polynomials which I learnt from Alan Sokal. The sequence of reverse Bessel polynomials begins as follows.
\begin{aligned} \theta_0(R)&=1\\ \thet... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9715 | # Finding shortest path while maximizing the number of overlapping edges
The shortest path problem between 2 arbitrary nodes is one that has been covered extensively and the solution is well-known. Consider the edge costs to be arbitrary.
Consider the following variant:
Find the two shortest paths between 2 pairs of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9717 | ## anonymous 3 years ago Find all the zeros of the equation. x^4 - 6x^2 - 7x - 6 = 0
1. mathmate
Using Descartes rule of signs, there is one positive root, one or three negative roots.
2. anonymous
I'm sorry, I'm so confused. I don't really know what I am suppose to do or use to figure this problem out
3. mathmate... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9718 | ## Semirings with identity
Abbreviation: SRng$_1$
### Definition
A semiring with identity is a structure $\mathbf{S}=\langle S,+,\cdot,1 \rangle$ of type $\langle 2,2,0\rangle$ such that
$\langle S,+\rangle$ is a commutative semigroup
$\langle S,\cdot, 1\rangle$ is a monoid
$\cdot$ distributes over $+$: $x\cdot(y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9719 | # Homework Help: Conservation of Momentum homework help
1. Nov 23, 2009
### court2011
1. The problem statement, all variables and given/known data
A 93 kg astronaut and a 1500 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.16 m/s directly away fr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9720 | # Stability conditions on triangulated categories
## Abstract:
This paper introduces the notion of a stability condition on a triangulated category. The motivation comes from the study of Dirichlet branes in string theory, and especially from M.R. Douglas's notion of $\Pi$-stability. From a mathematical point of view... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9721 | Categories
# 1 slug to lb
per 1,000 square feet to intercept snails and slugs traveling to the plot. It is defined as the force needed to accelerate a 1 slug mass (or 32.17405 lb m) at the rate of 1 ft/s. 2024 Joules to Btu Mean 50 Square Kilometers to Acres 1193 Joules to Centigrade Heat Units 1000000 Erg to Calorie... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9722 | # Find the modulus of $$\frac{2-i}{1-3i}$$
This question was previously asked in
Airforce Group X MBT 15-Jul-2021 Shift 3
View all Airforce Group X Papers >
1. $$\sqrt2$$
2. $$\frac{1}{\sqrt2}$$
3. 1
4. 2
Option 2 : $$\frac{1}{\sqrt2}$$
## Detailed Solution
Concept:
Let z = x + iy be a complex number.
Modulus of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9723 | # find the number of possible positive integer solutions when the inequality is $a \times b \times c \lt 180$
As most of you know there is a classical question in elementary combinatorics such that if $$a \times b \times c = 180$$ , then how many possible positive integer solution are there for the equation $$?$$
The... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9724 | # Reciprocal Function – Graph, Definition, Domain and Range
Here you will learn what is reciprocal function with definition, graph and domain and range.
Let’s begin –
## Reciprocal Function
The function that associates a real number x to its reciprocal $$1\over x$$ is called the reciprocal function. Since $$1\over ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9725 | Research
# Impulsive fractional boundary-value problems with fractional integral jump conditions
Chatthai Thaiprayoon1, Jessada Tariboon1* and Sotiris K Ntouyas2
Author Affiliations
1 Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
2 D... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9726 | # Finding pairs of integers such that $x^2+3y$ and $y^2+3x$ are both perfect squares
Can we find pairs $(x,y)$ of positive integers such that $x^2+3y$ and $y^2+3x$ are simultaneously perfect squares? Thanks a lot in advance. My progress is minimal.
Not a complete solution but an approach that seems like it will work.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9714 | # The Aliens and Presidents Puzzle
This post is about a very tricky math puzzle, and really has very little to do with aliens or presidents. This puzzle made the rounds stumping people at Reed College in 2014, and was created by my friend Steve Silverman (who seems to have an unlimited supply of unique puzzles of his ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9727 | Teaser Image
# Brandon John Grenier
## Artificial Intelligence • Machine Learning • Big Data
We are going learn how to build a simple supervised machine learning algorithm which will be able predict housing prices based on a single feature, the size of a house. Going through this exercise will introduce a number of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9712 | # Practice on Toph
Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.
# Social Distancing
By Shafin · Limits 1s, 512 MB
The country of KhoaNali is structured as a giant road with $N (1 \leq N \leq 10^5)$ buildings on both sid... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7667 | # Think Outside the Box
Question
How can you join the $9$ dots with just $4$ straight lines without lifting off the pencil?
What d'you understand from the following-
...........................................S T A N D.................................................................................. .................. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7668 | Find the limit for $n>0$. Use INF to represent positive infinity, NINF for negative infinity, and D for the limit does not exist.
$\lim\limits_{x\rightarrow \infty} \dfrac{e^x}{x^n} =$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7669 | # Test $\sum \sin(k) \sin(1/k)$ for convergence
I think I can prove it by Abel's test, because $\sum\frac{\sin k}k$ is convergent (can be proved by Dirichlet's test) and $k\sin(1/k)$ is monotone and bounded. But to prove that $k\sin(1/k)$ is monotone, I need to use derivative, which my analysis course hasn't touched.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7670 | # Does the congruence $a^p \equiv 1 \pmod{b^p}$ with prime $p \ge 5$ force $b \le p$?
I'm considering the congruence in the title, i.e., $$a^p \equiv 1 \pmod{b^p},$$ where $a \ge b \ge 1$ are positive integers and $p$ is an odd prime.
For $p=3$, a brute-force computer search found many solutions with $b > 3$.
For $p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7671 | ## A 94.0-mH inductor and a 6.70-µF capacitor are connected in series with a generator whose frequency is 520 Hz. The rms voltage across the capacitor is 1.70 V. Determine the rms voltage across the inductor.
A 94.0-mH inductor and a 6.70-µF capacitor are connected in series with a generator whose frequency is 520 Hz.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7672 | # How do you simplify (2x^3y^2)^2(2x^-1y^4)^3 / (2^1x^2y^-3)^-1?
Jun 25, 2015
Expand the expression to get rid of the brackets, and then remove any common factors.
#### Explanation:
${\left(2 {x}^{3} {y}^{2}\right)}^{2}$ = $4 {x}^{6} {y}^{4}$
${\left(2 {x}^{-} 1 {y}^{4}\right)}^{3} = 8 {x}^{-} 3 {y}^{12}$
${\left(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7673 | # What is the derivative of x\sin x
What is the derivative of $$\displaystyle{x}{\sin{{x}}}$$
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7674 | # When can I treat infinitesimals as numbers? [duplicate]
This question already has an answer here:
Even if many mathematicians don't like the notation, I have found in many rigorous math books things like
$$\frac{dy}{dx}=Ay$$
so
$$\frac{dy}{y}=Adx$$
What I don't understand is this: under which conditions is ok t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7675 | This website requires JavaScript.
# Crystalline condition for $A_{\mathrm{inf}}$-cohomology and ramification bounds
arXiv: Number Theory
Aug 2021
For a prime $p>2$ and a smooth proper $p$-adic formal scheme $X$ over $\mathcal{O}_K$ where $K$ is a $p$-adic field, we study a series of conditions ($\mathrm{Cr}_s$), $s\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7677 | # The blocks of mass 𝑚 each are connected to a spring of spring constant 𝑘 as shown in figure. The maximum displacement in the block is
Question: The blocks of mass 𝑚 each are connected to a spring of spring constant 𝑘 as shown in figure. The maximum displacement in the block is
(A) $\sqrt{\dfrac{2mv^{2}}{k}}$
(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7678 | Inflationary Weak Anisotropic Model with General Dissipation Coefficient
# Inflationary Weak Anisotropic Model with General Dissipation Coefficient
M. Sharif and Rabia Saleem
Department of Mathematics, University of the Punjab,
Quaid-e-Azam Campus, Lahore-54590, Pakistan.
msharif.math@pu.edu.pkrabiasaleem1988@yahoo.c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7679 | ## cool987654321 Group Title A truck transports 8 cars to an auto dealership. Each car has a gasoline tank capacity of 64 liters. What is the total gasoline tank capacity of all of the cars in hectoliters? 2 years ago 2 years ago
1. cool987654321 Group Title
@directrix help
2. goldh31 Group Title
what is 64 * 8?
3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7665 | # Chain rule question justification
Let $$U := \left\{(x,y)\in \mathbb{R}^2: xy\neq 0\right\}$$ and let $$f: U \to \mathbb{R}$$ be defined by $$\begin{equation*} f(x,y) := (\log_{e}{(|x|)})^2+(\log_{e}{(|y|)})^2. \end{equation*}$$ 1. Calculate $$\nabla f(x,y)$$ at each point of $$U$$.
We find the partial derivatives o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7676 | Article Contents
Article Contents
# Multifractal analysis of random weak Gibbs measures
• We describe the multifractal nature of random weak Gibbs measures on some classes of attractors associated with $C^1$ random dynamics semi-conjugate to a random subshift of finite type. This includes the validity of the multifra... |
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