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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8304 | # Find the implicit solution of the following initial value problem. (2y-3)dy = (6x^2 + 4x - 5)dx , y(1) = 2
You need to integrate both sides such that:
`int (2y-3)dy = int (6x^2 + 4x - 5)dx =gt int 2y dy - int 3dy =`
`= int 6x^2 dx+ int 4x dx- int 5 dx =gt`
`=gt 2y^2/2 - 3y + c = 6x^3/3 + 4x^2/2 - 5x + c`... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8305 | # Physics FX Module 8
1. A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?
$v^2 = -2*a*s$ , $a= -v^2/2/s =8.4^2/2/115 =-0.306 m/s^2$
$a =epsilon*R$, $epsilon = a/R = 2a/D = -2*0.306/0.68 = -0.902 rad/s^2$
D) $-0.90$ rad/s
2. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8306 | # What is the most efficient way to calculate the sine of a rational number?
I'm happy that we can use some trig identities like $$\sin\left(\frac{\theta}{2}\right) \equiv \pm \sqrt{\frac{1-\cos(\theta)}{2}}$$ and $$\sin(\alpha \pm\beta) \equiv \sin(\alpha) \cos(\beta)\pm \cos(\alpha)\sin(\beta)$$ (and many more) to c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8307 | # Nielsen extension of Riemann surface
Let $S$ be a riemann surface. If S has idea boundary curves,then the intrinsic metric on $S$ can be defined by the restriction to $S$ of poincare metric of the double of $S$. Also this metric can be derived from the restriction to $S$ of the poincare metric of $S^N$,where $S^N$ i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8308 | Home
Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
For arithemetic progression f( 17 ) = 6 , then find S( 33 ). [ Calculator, Method and examples ]Solution:Your problem -> For arithemetic progression f( 17 ) = 6 , then find S( 33 ).We have given f(17) = 6 an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8309 | Varsity Tutors always has a different Algebra II Question of the Day ready at your disposal! If you’re just looking to get a quick review into your busy day, our Algebra II Question of the Day is the perfect option. Answer enough of our Algebra II Question of the Day problems and you’ll be ready to ace the next test. C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8310 | # Evaluating $\int \frac{\sqrt{1-x^2}}{x^2} \operatorname d \! x$
I am trying to find $$\int \dfrac{\sqrt{1-x^2}}{x^2} \operatorname d \! x$$
I can get to $${\int \dfrac{\sin x}{\cos^2x}\operatorname d \! x}$$
I tried u substitution by making $u=\cos x$ and $du= −\sin x dx$
but this leads to $$\int \dfrac{1}{u^2}\o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8311 | # Covering Lemma 2
Today I’ll do probably the best known Vitali Covering Lemma. I’ll take the approach of Rudin.
Statement (finite version): If W is the union of a finite collection of balls $B(x_i, r_i)$ (say to N), then there is a subcollection $S\subset \{1,\ldots , N\}$ so that
a) the balls $B(x_i, r_i)$ with $i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8312 | # How do you use Integration by Substitution to find intcos^3(x)*sin(x)dx?
##### 1 Answer
Sep 8, 2014
By substitution,
$\int {\cos}^{3} x \sin x \mathrm{dx} = - \frac{1}{4} {\cos}^{4} x + C$
Let $u = \cos x$.
By taking the derivative,
$\frac{\mathrm{du}}{\mathrm{dx}} = - \sin x$
By taking the reciprocal,
$\frac{\mat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8313 | # write balanced equations when calcium metal is function
#### Balanced equations - Balanced equations - National 5 …
26/7/2020· Here is the balanced syol equation: $2Cu(s) + {O_2}(g) \rightarrow 2CuO(s)$ You can see that now there are two copper atoms and two oxygen atoms on each side.
#### Write a chemical equatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8314 | # A calculus problem by Vinay Agarwal
Calculus Level 4
If $$\displaystyle \int_0^{\pi/2} \dfrac{dx}{a^2\cos^2 x + b^2\sin^2 x}=\frac{\pi}{2ab}$$, then find the value of $$\displaystyle \int_0^{\pi/2} \dfrac{dx}{\left(4\cos^2 x + 9\sin^2 x\right)^2}$$.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8315 | # Curl in spherical polar coordinates
1. Aug 16, 2011
### 2019
Hey, I've been stuck on this question for quite a while now:
1. The problem statement, all variables and given/known data
1a. Write down an expression for the position vector r in spherical polar coordinates.
1b. Show that for any function g(r) of r o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8316 | • ### Novel Kondo-like behavior near magnetic instability in SmB$_6$ : temperature and pressure dependences of Sm valence(1611.10126)
March 28, 2018 cond-mat.str-el
We report a systematic study of Sm valence in the prototypical intermediate valence compound SmB$_6$. Sm mean valence, $v_{\rm Sm}$, was measured by X-ray... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8317 | # Index position of spherical harmonic function and tensorial properties
The spherical harmonics functions are denoted as $$Y_l^m$$ or $$Y_{lm}$$in https://en.wikipedia.org/wiki/Spherical_harmonics
e.g., \begin{align} Y_{lm} &= \dfrac{i}{\sqrt{2}} \left(Y_\ell^{m} - (-1)^m\, Y_\ell^{-m}\right) \text{if}\ m < 0 \end{a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8318 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# In the figure, the tip of $c$ and the tail of $d$ are both the midpoint of $QR$. Express $c$ and $d$ in terms of $a$ and $b$.
## $$\mathbf{c}=\frac{1}{2} \mathbf{a}+\frac{1}{2} \mathbf{b} \quad \mathbf{d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8319 | 1 answer
# Please answer question 2 and 3. for question 2, please do not say Brady’s reagent. for...
###### Question:
please answer question 2 and 3.
for question 2, please do not say Brady’s reagent.
for question 3, we did the reaction with N,N-dimethylaniline and sulfanilic acid.
thanks in advance!
2. Provide any ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8080 | Lemma 15.66.14. Let $A \to B$ be a flat ring map. Let $d \geq 0$. Let $M$ be an $A$-module of tor dimension $\leq d$. Then $M \otimes _ A B$ is a $B$-module of tor dimension $\leq d$.
Proof. Immediate consequence of Lemma 15.66.13 and the fact that $M \otimes _ A^{\mathbf{L}} B = M \otimes _ A B$ because $B$ is flat o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8081 | An error was encountered while trying to add the item to the cart. Please try again.
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Relations Related to Betweenness: Their Structure and Automorphisms
S. A. Adeleke Western Illinois University, Macomb, IL
Peter M. Neumann Queen’s College, Oxford University, Oxford, England
Avai... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8082 | ## Elementary Technical Mathematics
Find the total dough required for one pie. $\frac{1}{4}+\frac{1}{8}=\frac{1\times2}{4\times2}+\frac{1}{8}=\frac{2}{8}+\frac{1}{8}=\frac{3}{8}$ Divide to find the number of pies that can be made. To divide by a fraction, invert and multiply. $12\ lb \div \frac{3}{8}\frac{lb}{pie}=12\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8083 | Archived
This topic is now archived and is closed to further replies.
What is MOD?
Recommended Posts
Fella 102
Ok, so mod is left over. 12 mod 7 = 5; 7*1 + 5 But I don''t understand why 1 mod 4 = 1. Can someone explain me why is this? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8084 | Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2797
Title: Asymptotic behaviour of Functional Identities Authors: Gordienko, A. S. Keywords: Functional IdentityGeneralized Functional IdentityCodimensionGrowthAlgebraAmitsur’s ConjectureRegev’s Conjecture Issue Date: 2012 Publisher... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8085 | ## Educators
FY
### Problem 1
Which of these sentences are propositions? What are the truth values of those that are propositions?
a) Boston is the capital of Massachusetts.
b) Miami is the capital of Florida.
c) $2+3=5$
d) $5+7=10$
e) $x+2=11$
James C.
### Problem 2
Which of these are propositions? What are the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8086 | # Dirichlet Principle
• Jun 6th 2011, 07:17 AM
seit
Dirichlet Principle
How many pairs of integers (a,b) are necessary to make sure that for two of them, say $({a_1},{b_1})$ and $({a_2},{b_2})$ it is the case that ${a_1}$ mod 5 = ${a_2}$ mod 5 and ${b_1}$ mod 5 = ${b_2}$ mod 5?
• Jun 6th 2011, 08:35 AM
emakarov
OK, us... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8087 | # How do you solve x(x-9)+20=0?
May 13, 2016
Develop the equation
${x}^{2} - 9 x + 20 = 0$
Your equation is of the form
$a {x}^{2} - b x + c = 0$
Find the discriminant ($\Delta$)
$\Delta = {b}^{2} - 4 a c$
$\Delta = {\left(- 9\right)}^{2} - 4 \cdot 20 = 1$
$\Delta$ is greater than zero, this means two real roo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8088 | # Past exam question on integral of an even function!
I am going through a past exam question which is a function $$f:\mathbb{R} \rightarrow \mathbb{R}$$ is defined by $$\begin{equation*} f(x) := \int_{1}^{x^2} e^{t^2} \; dt. \end{equation*}$$
1. Determine whether $$f$$ is even, odd or neither.
What I did was $$f$$ is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8089 | # Complex Eigenvalues/vectors
1. Nov 26, 2009
### Iconate
1. The problem statement, all variables and given/known data
Find the eigenvalues and eigenvectors of A. (Both eigenvalues and eigenvectors are now allowed
to be complex.) Is it diagonalizable? Explain why or why not. If it is diagonalizable, explicitly
find ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8090 | Rates of change: The rate of change of the area of a triangle. Is my answer right?
1. Jun 10, 2012
indigo1
my question is... is this answer correct? for the last step. WOULDNT you multiply 10x by .5 and 12 by .2? the opposite of what this answer is? Itsays BASE is 10 in and BASE chagnges at .5 in per second
problem:... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8091 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archiv... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8092 | Question #417
# What is the formula of the circumference of a circle?
Merged questions
The circumference of a circle of radius is:
The circumference of a circle of diameter is:
3 events in history
Question by Alphonsio 12/10/2020 at 02:54:14 PM
What is the formula of the circumference of a circle?
An... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8093 | Sums of independent Banach space valued random variables.(English)Zbl 0265.60005
MSC:
60B05 Probability measures on topological spaces 60B10 Convergence of probability measures 60G50 Sums of independent random variables; random walks 46B99 Normed linear spaces and Banach spaces; Banach lattices
Full Text: |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8094 | Find all irreducible polynomials over F of degree at most 2
Tags:
1. Feb 17, 2016
HaLAA
1. The problem statement, all variables and given/known data
Let F = {0,1,α,α+1}. Find all irreducible polynomials over F of degree at most 2.
2. Relevant equations
3. The attempt at a solution
To determine an irreducible polyn... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_8095 | mersenneforum.org Predict M52
Register FAQ Search Today's Posts Mark Forums Read
2022-03-18, 22:28 #364 Dr Sardonicus Feb 2017 Nowhere 23×739 Posts Not one, but two correct answers to my exercise! Well, at least a little bit of good mathematical thinking came of the latest shambles of a prediction for M52...
202... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24608 | # NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4
These NCERT Solutions for Class 10 Maths Chapter Ex 4.4 Questions and Answers are prepared by our highly skilled subject experts.
## NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.4
Question 1.
Find the nature of t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24609 | Tree Plantation Paragraph For 7, Union League Club Nyc Dress Code, Biology Ocr A Level Practice Questions, Crepes Con Banana, Creatonotos Gangis Female, How To Prepare Fried Rice Step By Step, Machine Head Lyrics Meaning, Performance Improvement Plan Sample Attitude, Linnaeus Graduate Scheme, Dewalt 12v Xrp Battery, " ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24610 | # No prime here
Level pending
$$4, 6, 12, 18, 30, 42, 60, 72, 102,...$$
What is the next number in the above sequence?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24611 | Difference between revisions of "Sandbox"
Quantum GIS like this like this $\frac{1}{2}$ like this http://geo.fsv.cvut.cz http://osgeo.org test $\operatorname{erfc}(x) = \frac{2}{\sqrt{\pi}} \int_x^{\infty} e^{-t^2}\,dt = \frac{e^{-x^2}}{x\sqrt{\pi}}\sum_{n=0}^\infty (-1)^n \frac{(2n)!}{n!(2x)^{2n}}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24612 | b) Show that the highest power of $k$ that divides 500!, where $k$ is an integer and $k^{(t + 1)} > 500 > k^t$ is ,
$$[500/k] + [500/k^2] + ... + [500/k^t].$$
(c) How many factors does $n!$ have? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24613 | # [SOLVED]Laplace spherical
#### dwsmith
##### Well-known member
Consider Laplace's equation on a sphere of unit radius with the boundary condition
$$u(1,\theta,\varphi) = f(\theta,\varphi)\begin{cases} 100 & -\pi/4 < \varphi < \pi/4\\ 0 & \text{otherwise} \end{cases}$$
Here we will consider a three-term approximatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24614 | # Quick question about proving that either H is contained in K or K is contained in H.
Let G be a cyclic p-group with subgroups H and K. Prove that either H is contained in K or K is contained in H.
I am looking at Alan Wang's answer, and I am a little confused. Why is it $$H\leq K$$ and not $$K\leq H$$? Wasn't it sh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24615 | # Geodesic on half-plane determined by tangent vector
The upper-half plane $\mathbb H$ carries a hyperbolic metric and the geodesics are semicircles with base on the real line. We consider oriented geodesics. Let $x \in \mathbb H$ and let $v$ be a unit tangent vector at $v$. How to prove the following statement:
Ther... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24616 | bound on the genus of a fiber of the Albanese map of a surface with $h^1({\mathcal O})=1$? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T22:38:52Z http://mathoverflow.net/feeds/question/49169 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49169/bound-on-t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24617 | ## anonymous one year ago If 5p = -100 + 3Q^2, which of the following could Q possibly be?
1. anonymous
Q = square root of 5 times p minus 100 over 3 Q = square root of 5 times p plus 100 over 3 Q = square root of negative 5 times p plus 100 over 3 Q = square root of negative 5 times p minus 100 over 3
2. anonymous
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24618 | # Tag Info
9
Let $A$ be a self-adjoint operator with domain $D(A)\subset\mathcal H$ ($\mathcal H$ is some Hilbert space). An operator $C$ with $D(A)\subset D(C)$ is called relatively compact with respect to $C$ if $C(A-zI)^{-1}$ is compact for some (hence all) $z\notin\sigma(A)$. Paraphrasing Corollary 2, page 113 Se... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24619 | Math Help - Inverse Trig functions
1. Inverse Trig functions
I have no idea how to simplify these...answers are in the back of my packet but I have no idea how they got them...
cot(arctan(x))
sin(arctan(x))
tan(arccos(x/2))
No calculator, though I don't know why you'd use one ne ways.
Thanks so much!!!
2. Origi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24620 | # Algebra homomorphism explained
F\colonA\toB
such that for all in and in,[1] [2]
F(kx)=kF(x)
F(x+y)=F(x)+F(y)
F(xy)=F(x)F(y)
The first two conditions say that is a K-linear map (or K-module homomorphism if K is a commutative ring), and the last condition says that is a (non-unital) ring homomorphism.
If admits ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24621 | ## anonymous one year ago simplified from in scientific notation equation in comments
1. anonymous
$3\times10^{8}\div4.2\times10^{7}$
2. anonymous
@satellite73
3. anonymous
divide $$3$$ by $$4.2$$ and subtract the exponents
4. anonymous
is it $7.1\div10^{14}$
5. anonymous
then there is one more step
6. anony... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24622 | # Math Insight
### Applet: Stick figure position
It takes a vector in nine-dimensional space to specify the angles of this stick figure's arms, legs, and head. We denote the configuration vector specifying these angles by $\vec{\theta} = (\theta_1, \theta_2, \theta_3, \theta_4, \theta_5, \theta_6,\theta_7, \theta_8,\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24623 | # Math Help - Rhombus Problem
1. ## Rhombus Problem
Given Rhombus ABCD (not shown) AB = 10 and AC = 12. Find AD and BD
I know that AD = 10 because the sides of a rhombus are all congruent. I cannot find what BD equals though. I thought it was 12 but I don't think the diagonals of a rhombus are congruent.
2. ## Re: ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16032 | Explain when a complex number is a real number and…. 1i on the other hand is a complex number and not a real number because you cannot represent it on the real number line. Like. $( a , b ) \cdot ( c , d ) = ( ac - bd , bc + ad ). Lets suppose, we have an integer 3 which is a real number. A complex number is a number o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16033 | holani.net
Home > Error Function > Error Function Approximation With Elementary Functions
Error Function Approximation With Elementary Functions
Contents
IEEE Transactions on Wireless Communications, 4(2), 840–845, doi=10.1109/TWC.2003.814350. ^ Chang, Seok-Ho; Cosman, Pamela C.; Milstein, Laurence B. (November 201... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16034 | # zbMATH — the first resource for mathematics
Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects. (English) Zbl 1084.34071
Existence and global attractivity of positive periodic solutions are studied for the following nonlinear delay equation with impuls... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16035 | Copied to
clipboard
## G = C20.38SD16order 320 = 26·5
### 4th non-split extension by C20 of SD16 acting via SD16/D4=C2
Series: Derived Chief Lower central Upper central
Derived series C1 — C2×C20 — C20.38SD16
Chief series C1 — C5 — C10 — C20 — C2×C20 — C4⋊Dic5 — C20⋊2Q8 — C20.38SD16
Lower central C5 — C10 — C2×C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16036 | GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 02 Jun 2020, 10:50
### 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 Pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16037 | # If cot θ=13√, find the value of 1−cos2 θ2−sin2 θ.
Question:
If $\cot \theta=\frac{1}{\sqrt{3}}$, find the value of $\frac{1-\cos ^{2} \theta}{2-\sin ^{2} \theta}$.
Solution:
Given: $\cot \theta=\frac{1}{\sqrt{3}}$
We have to find the value of the expression $\frac{1-\cos ^{2} \theta}{2-\sin ^{2} \theta}$
We kno... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16038 | # Distribution of Product of a Bernoulli Random Variable and (1- Another Bernoulli Random Variable) [closed]
Let $$\alpha$$ and $$\beta$$ be two independent bernoulli random variables. What is the distribution of the product $$\alpha(1-\beta)$$ or $$\alpha-\alpha\beta$$. Thanks in advance. Actually, I want to know the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16039 | On the equivalence of cuboid equations and their factor equations.
# On the equivalence of cuboid equations and their factor equations.
Ruslan Sharipov Bashkir State University, 32 Zaki Validi street, 450074 Ufa, Russia
An Euler cuboid is a rectangular parallelepiped with integer edges and integer face diagonals. An... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16040 | +0
# Lil bit of help needed. evaluate the following expression for the given value(s) of the variable(s) 5(a+2)-6÷a for a=3
0
43
1
Any help will do thanks
Guest Nov 12, 2018
#1
+3167
0
$$5(a+2) - 6 \div a = \\ 5(a+2) - \left(\dfrac{6}{a}\right)\\$$
$$\left . 5(a+2)-\dfrac 6 a \right |_{a=3} = \\ 5(3+2) - \dfrac 6... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16041 | # Center of mass of an arc
A very thin tube shaped like a quarter of a toroid has one end attached to the origin $(0,0,0)$ and the other end at $(R,0,R)$. Determine its center of mass.
So obviously $y_G = 0$. Using Pappus theorem, we may determine $x_G$ by rotating the tube around the z-axis, giving half a sphere wit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16042 | # Are coordinate projections in the Skorokhod space continuous?
I was wondering whether coordinate projections in the Skorokhod space $D[0,1]$ are actually continuous (and, if so, how can this be proven)?
cheers!
-
If $\pi_x: D[0,1]\to \Bbb R$ is the projection map sending $f$ to $f(x)$, then it is continuous every... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16043 | # CAT Quant Practice Problems
Question: Three small pumps and a large pump are filling a tank. Each of the three small pump works at$\frac{2}{3}$the rate of the large pump. If all four pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the large pump alone?
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16044 | MathSciNet bibliographic data MR1745885 11J93 (11M38) Damamme, Gilles Étude de $L(s,\chi)/\pi^s$$L(s,\chi)/\pi^s$ pour des fonctions $L$$L$ relatives à ${\bf F}_q(\!(T^{-1})\!)$${\bf F}_q(\!(T^{-1})\!)$ et associées à des caractères de degré 1. (French) [Study of $L(s,\chi)/\pi^s$$L(s,\chi)/\pi^s$ for $L$$L$-functions ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16045 | # Incomplete Gamma Function
The lower incomplete gamma function, $$\gamma$$, is defined by the integral
$\gamma(s, x) = \int_0^x t^{s-1} e^{-t} \mathrm{d}t$
Similarly, the upper incomplete gamma function, $$\Gamma$$, is defined by the integral
$\gamma(s, x) = \int_x^\infty t^{s-1} e^{-t} \mathrm{d}t$
These are related... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16046 | # Math Help - Analysis problem about Holder's inequality
1. ## Analysis problem about Holder's inequality
Suppose that f is a continuous, non-negative function on the interval [0, 1]. Let M be the supremum of f on the interval. Prove that
Can you please give me a hint about how to apply Holder's inequality to this p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16047 | Copied to
clipboard
## G = C7×C4.SD16order 448 = 26·7
### Direct product of C7 and C4.SD16
direct product, metabelian, nilpotent (class 3), monomial, 2-elementary
Series: Derived Chief Lower central Upper central
Derived series C1 — C2×C4 — C7×C4.SD16
Chief series C1 — C2 — C4 — C2×C4 — C2×C28 — Q8×C14 — C7×Q8⋊C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24656 | Variational principles for approximating thermodynamic potentials in the inverse Ising problem: How to go from double to single extremum?
I'm trying to wrap my head around section 2.2.6 (on variational principles) in the following paper (on the inverse Ising problem): https://arxiv.org/abs/1702.01522
Here the authors... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24657 | # Find the area of the triangle formed by the lines joining the vertex of the parabola $x^2 = 12y$ to the ends of its latus rectum.
$\begin {array} {1 1} (A)\;16\: sq.units & \quad (B)\;17\: sq.units \\ (C)\;18\: sq.units & \quad (D)\;19\: sq.units \end {array}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24658 | There are three basic trigonometric ratios: sine, cosine and tangent, generally shortened to sin, cos and tan respectively.
\begin{align}\text{sin} \ \theta &= \dfrac{\text{opposite}}{\text{hypotenuse}}\\ \text{cos} \ \theta &= \dfrac{\text{adjacent}}{\text{hypotenuse}}\\ \text{tan} \ \theta &= \dfrac{\text{opposite}}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24659 | Problem
# The truck travels along a circular road that has a radius of 50 m at a speed of 4 m/s. F...
The truck travels along a circular road that has a radius of 50 m at a speed of 4 m/s. For a short distance when t = 0, its speed is then increased by where t is in seconds. Determine the speed and the magnitude of t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24660 | # A problem with flux
1. Feb 8, 2010
### LucasGB
The electric flux through a closed surface is the integral of the dot product E.da. Suppose we have a point charge at the center of a sphere. The electric field at the surface of the sphere is constant and can therefore be removed from the integral. Inside the integra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24661 | ## Basic properties of the direct sum of groups
Let $I$ be any nonempty set and let $G_i$ be a group for each $i \in I$. The restricted direct product or direct sum of the groups $G_i$ is the subset $H \leq G = \prod_I G_i$ of elements $\prod g_i$ such that $g_i = 1$ for all but a finite subset $J \subseteq I$.
1. Pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24662 | # Solving Trig Identities.
1. Apr 26, 2010
1. The problem statement, all variables and given/known data
1/cscx-sinx = secx tanx
2. Relevant equations
cscx = 1/sinx
secx = 1/cosx
3. The attempt at a solution
1/cscx-sinx = secx tanx
L.S.
= 1/cscx-sinx
= 1/(1/sinx)-sinx
R.S.
= secx tanx
= (1/cosx)(sinx/cosx)
Thi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24663 | ## College Algebra (6th Edition)
Published by Pearson
# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 82
#### Answer
$y$($y^{4}$ - 16) = y($y^{2}$ + 4)($y^{2}$ - 4)
#### Work Step by Step
To factor this polynomial, start by looking for the greatest common factor between ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24664 | # Overview
Code4rena (C4) is an open organization consisting of security researchers, auditors, developers, and individuals with domain expertise in smart contracts.
A C4 audit contest is an event in which community participants, referred to as Wardens, review, audit, or analyze smart contract logic in exchange for a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24665 | # How do you write the expression for the nth term of the geometric sequence a_1=500, r=1.02, n=40?
May 20, 2018
${a}_{40} \approx 1082.37 \text{ to 2 dec. places}$
#### Explanation:
$\text{for a geometric sequence the n th term formula is}$
•color(white)(x)a_n=a_1r^(n-1)
$\text{here "a_1=500,r=1.02" and } n = 40... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24666 | ### Abstract:
Fix an elliptic curve $E$ over $\mathbb{Q}$. An extremal prime'' for $E$ is a prime $p$ of good reduction such that the number of rational points on $E$ modulo $p$ is maximal or minimal in relation to the Hasse bound. In this talk, I will discuss what is known and conjectured about the number of extrem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24667 | # Start a new discussion
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## Site Tag Cloud
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
• I created Alex Heller at Jim’s suggestion. It is very stubby and c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24668 | # Quotient Group G/G = {identity}?
I know this is a basic question, but I'm trying to convince myself of Wikipedia's statement. "The quotient group $G / G$ is isomorphic to the trivial group."
I write the definition for left multiplication because left cosets = right cosets. $G/G = \{g \in G : gG\}$ But how is this i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24669 | # Proving the cotangent function is uniformly bounded on the complex plane
I'm trying to prove that the function $\cot\left(z\right)=i\frac{e^{iz}+e^{-iz}}{e^{iz}-e^{-iz}}$ is uniformly bounded in the complex plane outside $\varepsilon$ neighborhoods of the poles (with the bound depending on $\varepsilon$). The sugges... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24670 | # How to integrate this?
1. Feb 3, 2015
### Math10
1. The problem statement, all variables and given/known data
How to integrate dv/dt=g-kv/m?
2. Relevant equations
This is ODE.
3. The attempt at a solution
dv/(g-(kv/m))=dt
Now what? I don't know how to integrate the left side.
2. Feb 3, 2015
### Staff: Mentor
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24671 | # Existence of Homomorphism so that Diagram Commutes
Let $G, H$ be groups and let $\phi: G \to H, \psi: G \to K$ be homomorphism such that $\ker \phi \subseteq \ker \psi.$ Prove that there exists a homomorphism $\theta: H\to K$ such that $\theta\circ\phi = \psi.$
Obviously one can find a homomorphism $\theta$ on $\ph... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16208 | T.Forster at dpmms.cam.ac.uk T.Forster at dpmms.cam.ac.uk
Mon Sep 19 17:47:15 EDT 2011
While we are on the subject of wellfoundedness and paradox, perhaps i might
mention an open problem that has been bothering me for some time. It is
easy to prove by $\in$-induction that every set has nonempty complement.
The proof i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16209 | uniform convergence of sequence of functions $f_n(x)=\frac{nx}{1+n^2x^2} , \vert{x}\vert\le1$ and $g_n(x)=\frac{x}{1+nx^2} , \vert{x}\vert\le1$
Consider sequence of fucntions: $f_n(x)=\frac{nx}{1+n^2x^2} , \left|{x}\right| \le1$ and $g_n(x)=\frac{x}{1+nx^2} , \left|{x}\right| \le1$
1.Sequence $f_n$ is uniformly conve... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16210 | # How do you find the inverse of y=sinx and is it a function?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
6
Mar 31, 2016
$y = {\sin}^{-} 1 x$
#### Explanation:
From the given $y =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16211 | Khan/khan-exercises
Fetching contributors…
Cannot retrieve contributors at this time
348 lines (307 sloc) 19.1 KB
Trigonometry 1.5
shuffle(randFromArray([[6,8], [8, 15], [10, 24], [12,16], [14, 48], [20, 48], [16, 30]])) BC BC sqrt(AC * AC + BC * BC) randFromArray([ "ABC", "BAC" ]) randRange(1, 10) randRange(1, 10) (... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16212 | I like this example, which is as natural as can be an example with sets that are not Lebesgue measurable. Start from the Cantor function $f:[0,1]\rightarrow \mathbb{R}$, and consider $h(x):= x+f(x)$, which is a homeomorphism $[0,1]\rightarrow[0,2]$. On each interval on the complement of the Cantor set $C$ this function... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16213 | ## angelwings996 Group Title Couple of Math questions, please help! 1. What is the solution of the equation? sqrt(2x - 10) - 5 = x 2. What is the simplest form of the radical expression? 3*cube root(2a) - 6*cube root(2a) 3. Rewrite ^n sqrt(x^m) using a rational expression one year ago one year ago
1. angelwings996 Gro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16214 | #### Howdy, Stranger!
It looks like you're new here. If you want to get involved, click one of these buttons!
Options
# Lecture 7 - Universal properties: products, coproducts and exponentials - David Spivak
edited January 21
## Comments
• Options
1.
It was interesting to learn about the relationship between curr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16215 | # Chapter 11 - Counting Methods and Probability Theory - 11.1 The Fundamental Counting Principle - Exercise Set 11.1 - Page 693: 22
$1,000,000,000$
#### Work Step by Step
See page 690, The Fundamental Counting Principle: The number of ways in which a series of successive things can occur is found by multiplying the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16216 | # Revision history [back]
Hi,
Say A is a matrix. It seems that min(A) just returns the "minimum row" ordered lexicographically, which may not necessarily contain the minimum entry.
You can use the A's list function to get a list of its entries and then take the minimum over that, so min(A.list()) gets the minimum en... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16217 | Hi everyone. I'm going through a problem on definite integrals at the moment (attached picture). I went online to try and find some sort of guide for the solution and managed to find something close enough. It is on this link: https://www.quora.com/How-do-you-sol...sqrt-16-x-2-dx
When I first tried to solve the proble... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16218 | # Graph with cycles of odd number
Having an exercise from an old book of graph theory that does not contain the solution. My graph theory skills are at best entry-level. Need the concept of this problem to be explained(if possible) not the solution.
Having a simple non-directed graph that contains cycles of odd lengt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16219 | # American Institute of Mathematical Sciences
• Previous Article
On the Poincaré mapping and periodic solutions of nonautonomous differential systems
• CPAA Home
• This Issue
• Next Article
Boundary blow-up for elliptic problems involving exponential nonlinearities with nonlinear gradient terms and singular weights
Ju... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16220 | # “Homomorphism” from set of sequences to cardinals?
First off: I barely have any set theoretic knowledge, but I read a bit about cardinal arithmetic today and the following idea came to me, and since I found it kind of funny, I wanted to know a bit more about it.
If $A$ is the set of all real positive sequences that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16221 | Explore BrainMass
# Kernel equivalence and natural mapping
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
For a mapping %:A -> B, let == denote the kernel equivalence of %, and let *:A -> A== denote the natural mapping. Define \$:A== -> B by \$([a]) = %(a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16222 | # Contents
## Idea
A bornological set is a notion of space, where instead of considering open sets and continuous functions whose inverse images preserve open sets as one does for topological spaces, one considers bounded sets (which constitute a bornology) and bounded maps whose direct images preserve bounded sets. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_16223 | 시간 제한메모리 제한제출정답맞힌 사람정답 비율
6 초 512 MB104462443.636%
## 문제
Paris counts many hotels. Some are very close to the Orly airport, which is very useful to spend a night before an early flight. Some are very close to the Notre-Dame cathedral which allows tourists to walk around the “Île Saint-Louis” at dawn and enjoy the ban... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24736 | # Function f(x) = tan (3x) will be discontinuous at x =
16 views
closed
Function f(x) = tan (3x) will be discontinuous at x =
1. (2n + 1) π
2. (n + 1) π/2
3. (2n + 1) π/6
4. (2n + 1) π/4
5. None of these
by (30.0k points)
selected
Correct Answer - Option 3 : (2n + 1) π/6
Concept:
• f(c) must be defined. You can’t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24737 | # A tree that does not satisfy: If $v$ and $w$ are vertices in $T$, there is a unique path from $v$ to $w$?
It is a strange question on a book.
Give an example of a tree $T$ that does not satisfy the following property: If $v$ and $w$ are vertices in $T$, there is a unique path from $v$ to $w$.
I think it is rather ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24738 | ## anonymous one year ago The equation y = 85x shows that the speed of straight winds during a hurricane was 85 meters per second. Complete the table. Distance Traveled by Object x y 1 2 3 How far would an object traveling at that wind speed go in 3 seconds?
1. anonymous
I have to fill in the Y column, and answer the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_24739 | # Definition talk:Tychonoff Separation Axioms
If these are actually Axioms, we should put them in the Axioms namespace. --Cynic (talk) 20:44, 10 January 2009 (UTC)
• They're not. It's just what they're called, sort of like Europe is called a continent. They are called the Separation Axioms because they are usually as... |
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