id stringlengths 27 136 | text stringlengths 4 1.05M |
|---|---|
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_13724 | # Weitzenböck's inequality
Not to be confused with Weitzenböck identity.
According to Weitzenböck's inequality, the area of this triangle is at most (a2 + b2 + c2) ⁄ 4√3.
In mathematics, Weitzenböck's inequality, named after Roland Weitzenböck, states that for a triangle of side lengths $a$, $b$, $c$, and area $\Delt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_13725 | # How do you differentiate f(x) =(x^2+1) (x+2)^2 (x-3)^3 using the product rule?
Sep 10, 2017
First, split off your separate expressions into sub-functions.
Let $y = t \cdot u \cdot v$
where $t = {x}^{2} + 1$, $u = {\left(x + 2\right)}^{2}$, and $v = {\left(x - 3\right)}^{3}$
Then $\frac{\mathrm{dt}}{\mathrm{dx}} =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_13726 | # integration
• April 4th 2010, 01:23 PM
Evan.Kimia
integration
I cant seem to get these 2 questions right.
1) the problem:
http://www.webassign.net/cgi-bin/sym...%29%5C%29%20dx
the attempted solution:
http://i44.tinypic.com/2r41mbc.png
* I rewrote the problem as $19\; \left( x^{3} \right)^{\frac{1}{2}}+14\left( x^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_13727 | +0
# Find the circumference of each circle given its radius or diameter
+1
110
1
+394
Find the circumference of each circle given its radius or diameter. (Round your answers to two decimal places.)
(a) d = 18 in
________ in
(b) r = 7 m
_______ m
(c) 10 cm
_______ cm
(d) 4.5 ft
_____ ft
Find the circumferen... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4272 | # Find the Integral 1/(x^2+4)
Simplify the expression.
Reorder and .
Rewrite as .
The integral of with respect to is . |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4273 | # zbMATH — the first resource for mathematics
Group representations, $$\lambda$$-rings and the $$J$$-homomorphism. (English) Zbl 0159.53301
If $$E, F$$ are representations of a finite group $$G$$, one may ask whether there exists a non-trivial $$G$$-diffeomorphism, $$G$$-homeomorphism, $$G$$-homotopy equivalence, or s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4274 | ### Part I. Section I. Chapter 5. “Of the Division of Simple Quantities.”
45 When a number is to be separated into two, three, or more equal parts, it is done by means of division, which enables us to determine the magnitude of one of those parts. Wlien we wish, for example, to separate the number 12 into three equal ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4275 | # Primes as Energy levels (eigenvalues of a certain operator)
1. Jul 16, 2006
### eljose
"primes" as Energy levels...(eigenvalues of a certain operator)
I have heard about the Riemann Zeta function to be some kind of physical partition function..my question is..could we consider primes as "Energy levels" (eigenvalu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4276 | Question 1: A line intersects $x-axis$ at point $(-2, 0)$ and cuts off an intercept of $3$ units from the positive side of $y-axis$ . Find the equation of the line. [1992]
$x-intercept = (-2, 0)$
$y-intercept = (0, 3)$
Equation of line
$y-3 =$ $\frac{3-0}{0-(-2)}$ $(x-0)$
$y-3 =$ $\frac{3}{2}$ $x$
$2y -6 = 3x$
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4277 | # zbMATH — the first resource for mathematics
Conic-connected manifolds. (English) Zbl 1200.14078
Let $$X$$ be a complex projective manifold that is rationally connected, i.e., two general points can be joined by a rational curve. Rationally connected manifolds are natural generalisations of unirational and Fano manif... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4278 | Factoring polynomials
1. Sep 30, 2012
Fabio010
z^4-4z^3+6z^2-4z-15 =0
How can i factor this polynomial in order to find the solutions??
I tried with the ruffini' rule.
and i reached the following equation [(z+1)(-z^3-5z^2+11z-15)] =0
now how can i factor (-z^3-5z^2+11z-15) ???
i tried it, but i can not solve it... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4279 | # Find the Roots (Zeros) 2x^4-x^3-12x^2-25x+5=0
Graph each side of the equation. The solution is the x-value of the point of intersection.
Find the Roots (Zeros) 2x^4-x^3-12x^2-25x+5=0 |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4280 | #jsDisabledContent { display:none; } My Account | Register | Help
# Gamma distribution
Article Id: WHEBN0000207079
Reproduction Date:
Title: Gamma distribution Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication Date:
### Gamma distribution
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4281 | # Recent questions tagged plane
Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find a $3 \times 3$ matrix that acts on $\mathbb{R}^{3}$ as follows: it keeps the $x_{1}$ axis fixed but rotates the $x_{2} x_{3}$ plane by 60 degrees.
Find a $3 \times ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4282 | Laplace equation unit sphere
Laplec Equation is given by $\Delta u=0$ with $\Delta u=\sum_{i=1}^{n}u_{x_ix_i}$
Now I am confused with the following: What are solutions of Laplace Eq. for the inner of the unit sphere, which has on the surface the same values as $f_1(x_1,x_2,x_3)=x_1x_2, f_2(x_1,x_2,x_3)=x_1^2, f_3(x_1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4283 | # Math Help - newton interpolation problem
1. ## newton interpolation problem
with w(x)=(x-x(0))(x-x(1))...(x-x(n)) prove that
f[x(0),x(1),x(2),..,x(n))]=summation(0,n) (f(x(i))/(derivative(w(x(i))))
and hence calculate the limit for formula f[x(0),x(1),x(2),..,x(n))] when x(2)->x(1) while all other points remain fix... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4284 | # Is failing to admit an axiom equivalent to proof when the axiom is false?
Often, mathematicians wish to develop proofs without admitting certain axioms (e.g. the axiom of choice).
If a statement can be proven without admitting that axiom, does that mean the statement is also true when the axiom is considered to be ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4285 | # Lectures on compact Riemann surfaces
Abstract : This is an introduction to the geometry of compact Riemann surfaces. We largely follow the books [8, 9, 10]. 1) Defining Riemann surfaces with atlases of charts, and as locus of solutions of algebraic equations. 2) Space of meromorphic functions and forms, we classify ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4286 | # Math Help - a + bi
1. ## a + bi
Express e^{3 - i} in the form a + bi
2. Originally Posted by Ideasman
Express e^{3 - i} in the form a + bi
$e^{3-i} = e^{3}e^{-i} = e^3 \cos 1 - i e^3 \sin 1$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_4287 | Direct estimation of fertility from survey data containing birth histories
Description of method
The direct estimation of fertility (age-specific, and total) from survey data containing birth histories is relatively straightforward. If the data are carefully collected with a validated instrument (such as that used by... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3232 | Consider the leading-order (LO) DGLAP ((Dokshitzer–Gribov–Lipatov–Altarelli–Parisi) equation $$x \mu^2 \frac{d xg(x,\mu^2)}{d\mu^2}= \alpha_s \int_x^1 dz P_{gg}(z) \frac{x}{z} g(\frac{x}{z}, \mu^2) + \dots\tag1$$
Define an unintegrated parton density function (PDF) by $$F(x,\mu^2) \equiv x \frac{dg(x,\mu^2)}{d\mu^2},$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3233 | # Math Help - Convert line integral to surface integral
1. ## Convert line integral to surface integral
Hello!
I have problem with converting line integral to surface integral of functions in polar coordinates.
Here are two examples
and
How can I convert this two line integrals to surface integrals.
w and v are ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3234 | # Removable cycles in non-bipartite graphs
1 MASCOTTE - Algorithms, simulation, combinatorics and optimization for telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : In this paper we prove the following res... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3235 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3236 | # First Order Derivative II
• February 18th 2009, 11:40 AM
Simplicity
First Order Derivative II
$\frac{\mathrm{d}y}{\mathrm{d}x} = y - 2, \ \ \ y(0)=1$
Is this solveable to get $y(x)=...$. When I used seperation of variable I got $c=\ln (-1)$ which isn't possible. Can someone solve it? Thanks in advance.
• February 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3237 | # how to find circumference
An online circumference calculator that allows you to find circumference, radius, diameter, area, sphere surface area, and sphere volume of a circle. The circumference is the distance around a closed curve. Get the result. Answer. The circumference of a pipe is the distance around the pipe.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3238 | ## View abstract
### Session S33 - Spectral Geometry
Monday, July 12, 15:00 ~ 15:20 UTC-3
## The Yamabe constants under constraints
### Guillermo Henry
Given a compact $n-$dimensional Riemannian manifold $(M,g)$ we say that $U$ is a solution of the Yamabe equation if satisfies (for some constant $c$) the equation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3239 | I’ve just uploaded to the arXiv my paper “Failure of the ${L^1}$ pointwise and maximal ergodic theorems for the free group“, submitted to Forum of Mathematics, Sigma. This paper concerns a variant of the pointwise ergodic theorem of Birkhoff, which asserts that if one has a measure-preserving shift map ${T: X \rightarr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3240 | # Three Dimensional Infinite-Potential Well Energies
P: 2 1. The problem statement, all variables and given/known data So the question asks me to find the energies of the 2nd, 3rd, 4th, and 5th excited states in a three dimensional cubical box and to state which are degenerate. 2. Relevant equations -$$\frac{\hbar^{2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3241 | Why do Sylow $p$-groups in finite simple group have trivial intersection?
I'm looking for an argument for the fact that two Sylow $p$-subgroups in a finite simple group have trivial intersection. In the case that the order of the Sylow subgroups is the prime $p$ it is easy, but I don't see how I can prove it in the ge... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3242 | Home > Mean Square > Squared Error Formula
# Squared Error Formula
Enter the population values is as good as it gets (and is in fact, the line of best fit). Retrieved 8fit the y-intercept (i.e.estimator is asymptotically efficient.
be used for comparative purposes. error such as the mean absolute error, or those bas... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3243 | Keum-Bae Cho’s proof relates instances of 3-SAT to indistinguishablebinomial decision trees and claims that no polynomial-time algorithm can solve these trees . We argue that their proof fails tojustify a crucial step, and so the proof does not establish that $\mathrm{P} \subsetneq \mathrm {NP}$.
Author(s) : Benjamin ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3244 | 1. ## dice?
A 6 sided die is weighted so that it is 3 times more likely to land on the number 1 than 2. All other numbers, 2,3,4,5,6 have an equal chance of being rolled. If the die is thrown twice, what is the probability that the sum of the numbers will be 2?
2. Hello, katinthehat108!
A 6-sided die is weighted so ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3245 | # Automorphisms of $P(\Bbb N)$
I believe I've proved that the power semigroup of non-negative integers with addition has a trivial automorphism group. The proof is a bit long, completely elementary and rather unremarkable (as the fact itself probably) so I won't post it here. However, I spent a long time thinking it u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3246 | # Expected value of Y = (1/X) where $X \sim Gamma$
I'm having some confusion over this statement here. Let $T_i \sim Exp(\lambda + \theta)$ and if they are all iid then $\sum_n T_i \sim Gamma(\alpha = n, \beta = 1/(\lambda + \theta))$
I want to find $E(\frac{1}{\sum_n T_i})$. I know I can't just do the reciprocal of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_3247 | 1. ## Find
1.
Find: $\sqrt{15-x}+\sqrt{4-x}= ?, if \sqrt{15-x}-\sqrt{4-x}=2$
2.
$a^b$ = 81, $b^c$ = 2, $a^c$ = 3. Find $b^b$
2. Originally Posted by Ellla
1.
Find: $\sqrt{15-x}+\sqrt{4-x}= ?, if \sqrt{15-x}-\sqrt{4-x}=2$
2.
$a^b$ = 81, $b^c$ = 2, $a^c$ = 3. Find $b^b$
It's not clear what you are trying to do for numb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5824 | # Converted the 110W (j/s) into kWh
1. Sep 10, 2011
### TyErd
1. The problem statement, all variables and given/known data
I have attached the question.
2. Relevant equations
-
3. The attempt at a solution
Well i first converted the 110W (j/s) into kWh which is 0.11kWh. so each tube used 0.11kWh an hour. now becau... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5825 | # Homework Help: Angle between a vector and a unit vectors with 3 dimensions.
1. Sep 4, 2013
### C172Driver
Find a two unit vectors that make the angle $\pi$/3 with the vector $\vec{v}$ = $\vec{i}$ + 2$\vec{j}$ + 3$\vec{k}$. "That isn't asking much since there are apparently infinite such vectors" - Prof.
I get as ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5826 | #### Vol. 9, No. 1, 2015
Recent Issues
The Journal About the Journal Editorial Board Subscriptions Editors' Interests Submission Guidelines Submission Form Editorial Login Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
Surpassing the ratios conjecture in t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5827 | # Math Help - newton's method problem
1. ## newton's method problem
Use Newton's method to find the 100th root of 100.
so I got f(x)=x^100-100
used x=1 as my starting point
x2=1-(1^100-100)/(100*1^99)
=1-(-99/100)
=1.99
then I did it a couple more times and ended up with 1.97 which is not right. What did I do wron... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5828 | # Calculate the integral using Green's Theorem
Using Green's theorem I want to calculate $\oint_{\sigma}\left (2xydx+3xy^2dy\right )$, where $\sigma$ is the boundary curve of the quadrangle with vertices $(-2,1)$, $(-2,-3)$, $(1,0)$, $(1,7)$ with positive orientation in relation to the quadrangle.
I have done the f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5829 | Prime
#### Prepinsta Prime
Video courses for company/skill based Preparation
(Check all courses)
Get Prime Video
Prime
#### Prepinsta Prime
Purchase mock tests for company/skill building
(Check all mocks)
Get Prime mock
# Formulas for LCM Questions
## Formulas for LCM
LCM stands for Least Common Multiple or Lo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5830 | 1. 20% of memory chips.....
Question :
20% of memory chips made in certain plant are defective. Find the probability that in a lot of 100 randomly chosen for inspection.
i) atmost 15 will be defective
ii) exactly 15 will be defective
Obtain these probability also by using Normal Approximation to binomial probabilitie... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5831 | The shaded area is what percentage of the area of the : Quant Question Archive [LOCKED]
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 08 Dec 2016, 21:50
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate yo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5832 | # Properties
Label 90.6.c.a Level 90 Weight 6 Character orbit 90.c Analytic conductor 14.435 Analytic rank 0 Dimension 2 CM no Inner twists 2
# Related objects
## Newspace parameters
Level: $$N$$ $$=$$ $$90 = 2 \cdot 3^{2} \cdot 5$$ Weight: $$k$$ $$=$$ $$6$$ Character orbit: $$[\chi]$$ $$=$$ 90.c (of order $$2$$,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5833 | # Poisson distribution (mean) Calculator
## Calculates the parameter from the lower or upper cumulative distribution function of the Poisson distribution.
cumulative mode lower P upperQ cumulative distribution 0≦P,Q≦1 percentile x ≧0
6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
$\normal Poisson\ dis... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5834 | # Prove that the logarithmic mean is less than the power mean.
Prove that the logarithmic mean is less than the power mean.
$$L(a,b)=\frac{a-b}{\ln(a)-\ln(b)} < M_p(a,b) = \left(\frac{a^p+b^p}{2}\right)^{\frac{1}{p}}$$ such that $$p\geq \frac{1}{3}$$ That is the $\frac{1}{p}$ root of the power mean.
-
I'm currently ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5835 | # Use The Divergence Theorem to evaluate the flux
Let $\vec{F}(x, y, z) = (\sin z + xy^2)\vec{i} + x^2e^{3z}\vec{j} + (\cos ^3x + x^2z)\vec{k}.$
Let $T$ be the surface bounding the region $R$ given by $x^2 + y^2 \leq z \leq 6 - \sqrt{x^2 + y^2},$ oriented outward. Use the Divergence Theorem to evaluate the flux: $$\i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5836 | # Coefficient of relationship explained
The coefficient of relationship is a measure of the degree of consanguinity (or biological relationship) between two individuals. The term coefficient of relationship was defined by Sewall Wright in 1922, and was derived from his definition of the coefficient of inbreeding of 19... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5837 | # Newtonian limit of massive particle energy relation.
1. Apr 2, 2013
### center o bass
In GR for orbits about a central mass in the Schwarzschild metric one can show that
$$\dot r^2 = \frac{E^2}{m^2 c^2} - (1-\frac{r_s}{r})(c^2 + \frac{p_\phi^2}{r^2}).$$
where $E=-p_t$, $r_s$ is the Schwarzschild radius and 'dot'... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5838 | Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club
It is currently 22 Mar 2017, 19:22
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5839 | # Concurrent Chords in a Circle, Equally Inclined
### Solution
30 March, 2017
We'll make use of the Lagrange formula for the moment of inertia, also known as Steiner's and Huygens-Steiner theorem:
For unit masses placed at points $A_1,A_2,\ldots,A_n,\,$ the moment of inertia with respect to a point $X\,$ is defined... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11632 | ## Regulators, $$L$$-functions and rational points.(English)Zbl 1282.14042
This is an expository paper which introduces the reader to a series of papers by the author and H. Darmon on Kato’s Euler system and rational points on elliptic curves. He points out a remarkable parallelism between the setting of Dirichlet $$L... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11633 | One possible approach (perhaps not the most elementary one) is to use Margulis' Superrigidity theorem. $\Gamma=SL_n({\mathbb Z})$ is a lattice in the simple Lie group $SL_n({\mathbb R})$ which has rank $n-1 \ge 2$ when $n \ge 3$. Now, if $\phi: \Gamma \to SL_n({\mathbb R}$ is a homomorphism such that $\phi(\Gamma)$ is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11634 | # How many games should we play to determine the better player statistically significantly?
We are playing a game with my friend and trying to determine who is the better player.
The game has an luck element to it.
The current score is 9-7.
The following questions have risen:
1) How many games we should play to ge... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11635 | # Can I do this?
#### futurebird
f is analytic and has all orders of derivatives.
I'm trying to prove something here but doing this makes me uneasy... is there anything wrong with saying:
If $$|f(z)| \leq |z^{n}|$$ then,
$$|f'(z)| \leq |nz^{n-1}|$$ so
$$|f''(z)| \leq |n(n-1)z^{n-2}|$$
.
.
.
$$|f^{n}(z)| \leq n!z... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11636 | # Complete the table for the radioactive isotope.${ }^{14} mathrm{C}$5715
###### Question:
Complete the table for the radioactive isotope.${ }^{14} mathrm{C}$ 5715
#### Similar Solved Questions
##### Evaluate cach of the following and write the answer to the appropriate number of significant figures.a. $212.2+26.7+... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11637 | # How do you find the value of c that makes x^2+17x+c into a perfect square?
Jan 25, 2017
c = 72.25
#### Explanation:
in complete the square, we should add square of ½ of the coefficient of x to constant term.
Here 17 is the coefficient of x, ½ of 17 is 8.5 and its square is 72.25
Consider
${\left(a + b\right)}^{2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11638 | # least common multiple
If $a$ and $b$ are two positive integers, then their least common multiple, denoted by
$\mathrm{lcm}\!(a,\,b),$
is the positive integer $f$ satisfying the conditions
• $a\mid f$ and $b\mid f$,
• if $a\mid c$ and $b\mid c$, then $f\mid c$.
Note: The definition can be generalized for seve... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11639 | # Finding the max XOR of two numbers in an interval: can we do better than quadratic?
Suppose we're given two numbers $l$ and $r$ and that we want to find $\max{(i\oplus j)}$ for $l\le i,\,j\le r$.
The naïve algorithm simply checks all possible pairs; for instance in ruby we'd have:
def max_xor(l, r)
max = 0
(l..r)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11640 | Drogue : sortir du tout-répressif [reposted]
Posted in Books, Kids, Travel, Wines with tags , , , , , , , , , , , , , , on September 13, 2020 by xi'an
[Here is an editorial (my take at a Google translation) from Le Monde about the installment last week of a fixed fine of €200 for drug possession. Introduced in 2018 b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11641 | ## Basic College Mathematics (10th Edition)
Published by Pearson
# Chapter 6 - Percent - Mixed Review Exercises - Page 468: 8
498.8 liters
#### Work Step by Step
$\frac{part}{whole}=\frac{percent}{100}$ Looking at the details given Here Part = 214.484 and percent = 43 $\frac{214.484}{whole}=\frac{43}{100}$ whole =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11642 | How can I get symbolic orthonormal eigenvectors for 3 by 3 hermitian matrix?
Using the following syntax, I can obtain the symbolic eigenvalues and eigenvectors of the following Hermitian matrix (a,b,c,d are all real parameters):
M3:={{a,b,0},{b,c,b},{0,b,d}}
Eigenvalues[M3,Cubics->True]
Eigenvectors[M3,Cubics->True]
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11643 | # Are these triangles congruent?
The triangle $PQR$ is equilateral. The circumference with centre $R$ and radius $r$ intersects the sides of the triangles at $S$ and $T$. Is the triangle $PQS$ congruent to the triangle $RQS$?
I'm having trouble with this. The solution says that they aren't congruent because they shar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11644 | Madelung equations
Jump to: navigation, search
The Madelung equations are Erwin Madelung's equivalent alternative formulation of the Schrödinger equation.
Equations
The Madelung equations[1] are quantum Euler equations:[2]
$\partial_t \rho+\nabla\cdot(\rho\bold u)=0,$
$\partial_t\bold u+\bold u\cdot\nabla\bold u=-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11645 | # Volume of water required to cool thermal/nuclear plants?
## Homework Statement
In the year 2004 the USA produced 1787 TWh of electrical energy in conventional thermal plants and 476 TWh in nuclear plants. Assuming 30% efficiency for nuclear plants and 40% for conventional thermal plants, determine the (annual) volu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11646 | # Right Triangle Problem with Angle Bisector Theorem
Right triangle $ABC$ has $AC = 8$ and $CB = 6$. $M$ is the midpoint of $AB$. Pick point $N$ on line $CM$ with $M$ between $C$ and $N$ such that $∠CAB = ∠BAN$. Compute $MN$. Express your answer as a common fraction.
I figured out that $CM$, $BM$, and $AM$ were $5$, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_11647 | Home Research People Courses Conferences Seminars Publications Resources
[GaL92a]
Shuhong Gao and Hendrik W. Lenstra, Jr.,
Optimal normal bases,''
Designs, Codes and Cryptography 2 (1992), 315-323.
Abstract:
Let $K\subset L$ be a finite Galois extension of fields, of degree~$n$. Let $G$ be the Galois group, and let $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5648 | ### A quick me-too and a suggestion
03Mar07
First of all, let me get this out of my system:
$\frac{\partial u}{\partial q_1} = \cdots = \frac{\partial u}{\partial q_n}$
Ok, now I have one more reason not to move out from WordPress.com
The LaTeX people should, by now, have a simple “web” version of LaTeX that can b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5649 | It is currently 19 Sep 2019, 20:05
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5650 | # What is the standard form of y= (2x+8)^3-(5x-3)^2?
May 2, 2016
$y = 8 {x}^{3} + 71 {x}^{2} + 414 x + 503$
#### Explanation:
Multiply out and simplify, using the binomial expansions:
${\left(a + b\right)}^{3} = {a}^{3} + 3 {a}^{2} b + 3 a {b}^{2} + {b}^{3}$
${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5651 | ### Home > INT3 > Chapter 10 > Lesson 10.1.5 > Problem10-77
10-77.
Use summation notation to write this series: 1 + 4 + 7 + 10 + 13 + 16. Homework Help ✎
What is the expression that represents the sequence? How many terms are in the series? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5652 | # Question #5db2a
Jul 3, 2017
$1$ foot wil remain after $5$ cuts.
${a}_{n + 1} = {a}_{1} \cdot {r}^{n}$ feet will remain after $n$ cuts .
#### Explanation:
1st term is ${a}_{1} = 243$ . Common ratio is $r = 1 - \frac{2}{3} = \frac{1}{3}$
This is series of geometric progression $\left(243 , 81 , 27 , 9 , 3 , 1. .\r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5653 | ### Frequency of potential energy in SHM = ?
A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is:
(1) n (2) 2n
(3) 3n (4) 4n
Solution
In SHM, the potential energy is maximum at extreme positions and minimum at mean position. There... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5654 | # Hokkaido Mathematical Journal
## Hokkaido Mathematical Journal, 38 (2009) pp.563-586
PDF
### Abstract
From Goursat's transformation formulas for the hypergeometric function $F(\alpha,\beta,\gamma;z)$, we derive several double sequences given by mean iterations and express their common limits by the hypergeometric... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5655 | # zbMATH — the first resource for mathematics
Trivial, strongly minimal theories are model complete after naming constants. (English) Zbl 1035.03013
Summary: We prove that if $$\mathcal{M}$$ is any model of a trivial, strongly minimal theory, then the elementary diagram $$\operatorname{Th}(\mathcal{M}_M)$$ is a model ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5656 | • xapproachesinfinity
for $$a,b,c \in \mathbb{R^{+}}$$ prove that: $(a^5-a^2+3)(b^5-b^2+3)(c^5-c^2+3)\ge \left (a+b+c \right)^3$
Mathematics
Looking for something else?
Not the answer you are looking for? Search for more explanations. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5657 | Genius! The $$n=2$$ orbit can have $$8$$ electrons. So, we need to finish the $$n=2$$ orbit before we go to the $$n=3$$ orbit. Therefore, the configuration: $$2$$ in $$n=1$$, $$6$$ in $$n=2$$ and $$4$$ in $$n=3$$ is invalid.
There is another rule, Rule 2, to how electrons get distributed. It says that the outermost orb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5658 | # Show that momentum is conserved for a potential that depends on the difference in positions
I have the following problem:
Let $$N$$ particles interact according to
$$m_{a} \frac{d^{2}x^{i}_{a}}{dt^{2}} = - \frac{\partial V(x)}{\partial x^{i} _{a}}$$ With $$a = 1, \dots, N$$. Suppose $$V(x_{1}, \dots, x_{n})$$ depend... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5659 | # 2 Preferences, Utility and Choice
What can we reasonably say about ‘what people prefer and choose’? How can we state this carefully and precisely? What are the implications of particular ‘reasonable’ assumptions? (How) can we consider this in terms of ‘optimization’? How have Economists and decision-scientists consi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5660 | # Find Fourier series of Indicator function
Find Fourier series of $$f(x)$$: $$f(x)=\begin{cases} 1,\ \ a\leqslant x\leqslant b\\ 0\ \ \ \text{otherwise} \end{cases};\ \ \ \ \ [a,b]\in[-\pi;\pi]$$
Here is my attempt: \begin{aligned} &f(x)\sim a_0+\sum_{n=1}^\infty \left(a_n\cos nx+b_n\sin nx\right)=S(x)\\ &a_0=\frac{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5661 | # Schaum's Outline of College Mathematics, Fourth Edition
MILDOT ENTERPRISES ANALOG CALCULATOR Mildot
Well, this context specifically created to provides you with how to calculate arctan (tan inverse) of the given tangent value, even some terms that you should have an idea about! Inverse Log Calculator . Logarithms d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5662 | # What is the norm or <-7 ,6,-1 >?
Jun 11, 2016
$\sqrt{86}$
#### Explanation:
Let $x = \left({x}_{1} , {x}_{2} , \ldots . , {x}_{n}\right)$ be any vector in an n-dimensional vector space X.
Then the norm of $x$ is given by
$| | x | | = \sqrt{{x}_{1}^{2} + {x}_{2}^{2} + \ldots . . + {x}_{n}^{2}}$.
So in this parti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_5663 | # Matrix problem
Given the matrix
A= [a 1 9]
[a -6 3]
[5 -8 a]
find all values of a that makes
a can be _ & _
NEED HELP! IM BEYOND STUCK! I have no idea to even approach this problem! Thanks!
Last edited by a moderator:
$$$\left| {\left. {\bf{A}} \right|} \right. = 285 - 48a - 7a^2 = 0$$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20800 | multivariable_08_Techniques_of_Integration - 8 Techniques of Integration Over the next few sections we examine some techniques that are frequently
# multivariable_08_Techniques_of_Integration - 8 Techniques...
• Notes
• 20
This preview shows page 1 - 4 out of 20 pages.
8 Techniques of Integration Over the next few ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20801 | NCERT Solutions For Class 11 Maths Chapter 6 Exercise 6.3
Go back to 'Linear Inequalities'
Chapter 6 Ex.6.3 Question 1
Solve the following system of inequality graphically: $$x \ge 3,y \ge 2.$$
Solution
\begin{align}&x \ge 3\;\;\;\;\;\;\;\;\;\;\;\;\;\; \ldots \left( 1 \right)\\&y \ge 2\;\;\;\;\;\;\;\;\;\;\;\;\; \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20802 | # zbMATH — the first resource for mathematics
Quasi-uniform structures in linear lattices. (English) Zbl 0803.46007
This paper concerns normed linear spaces defined over the field of real numbers. The authors call a normed lattice in which the parallelogram law holds for positive elements an $$E$$ space, and they call... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20803 | # Size Doesn't Matter
How many numbers in the sequence $$70, 71, 78, 79, 86, 87, ... , 2014, 2015$$ can be expressed as the sum of the squares of two positive integers?
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20804 | My Math Forum Homogeneous linear ODEs with Constant Coefficients
Calculus Calculus Math Forum
March 14th, 2012, 12:59 PM #1 Newbie Joined: Mar 2012 Posts: 5 Thanks: 0 Homogeneous linear ODEs with Constant Coefficients i how a question, if you can help ,i m gonna be happy http://img17.imageshack.us/img17/1156/1817... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20805 | # Integrazio-konstante
${\displaystyle \int \cos(x)\,dx=\sin(x)+K.}$
${\displaystyle {d \over dx}[\sin(x)+K]}$ ${\displaystyle ={d \over dx}[\sin(x)]+{d \over dx}(K)}$ ${\displaystyle =\cos(x)+0\,}$ ${\displaystyle =\cos(x)\,.}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20806 | # Positive definite functions on G from Hilbert space vectors?
Let $G$ be a countable discrete group. Given a vector $\xi \in l^{2}(G)$, is there any way to naturally construct a positive definite function on $G$ using $\xi$?
This question is rather vague and open-ended so I've made this CW, but I'd be very appreciat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20807 | # Roll a die until it lands on any number other than 4. What is the probability the result is > 4?
A player is given a fair, six-sided die. To win, she must roll a number greater than 4 (i.e., a 5 or a 6). If she rolls a 4, she must roll again. What are her odds of winning?
I think the probability of winning $P(W)$, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20808 | # Choice of Contour in Complex Analysis
1. Sep 13, 2012
### unchained1978
Say you want to evaluate an integral over some domain, so one option is to write the integral as a contour integral in the complex plane. However, there can sometimes be several different contours that all cover the same domain, but may lead t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20809 | $$\require{cancel}$$
# 1.5: Calculating Viscous Flow
In this lecture, we’ll derive the velocity distribution for two examples of laminar flow. First we’ll consider a wide river, by which we mean wide compared with its depth (which we take to be uniform) and we ignore the more complicated flow pattern near the banks. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20810 | # Thread: Math help wanted :)
1. ## Math help wanted :)
A firm’s cost function and the demand functions are
C ( x ) = 5x and p = 25 - 2x respectively, where x is the amount produced and/or demanded.
(a) Find the output level that will maximize the firm’s profits. What is the
maximum profit?
(b) If a tax of
t per un... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20811 | # Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-2 Measures of Center - Basic Skills and Concepts - Page 91: 13
The mean is 11.05, mode: 20.5, the median is 9.5, the midrange is 11.75.
#### Work Step by Step
The mean can be counted by summing all the data and dividing it by the number of da... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20812 | October 1, 2021
# M.Sc. Thesis Defence (DSAS) - Xize Ye
Date:
Monday, July 26, 2021
Time:
10:00 am
Location:
Virtual via Zoom
Cost:
Free
Export:
"On the Estimation of Heston-Nandi GARCH Using Returns and/or Options: A Simulation-based Approach"
The development of option pricing models has been a productive research... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20813 | # Definition:Inconsummate Number
## Definition
Let $m \in \Z_{>0}$ be a positive integer.
Let $s_{10}$ denote the digit sum base $10$ .
$m$ is an inconsummate number if and only if:
$\nexists n \in \Z_{>0}: n = m \times s_{10} \left({n}\right)$
That is, if and only if there exists no positive integer $n \in \Z_{>... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20814 | # Solving Initial Value Problem
With a quick induction argument it can be shown that $\mathcal\ = s^n\mathcal\ - s^f (0) -\, ...\, - sf^(0) - f^(0)$ What this tells us is that if we have a differential equation, then the Laplace transform will turn it into an algebraic equation.Example $$\Page Index$$ Solve $y'' y' - ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_20815 | # Characterization of the Clarke regularity of subanalytic sets
* Corresponding author
Abstract : In this note, we will show that for a closed subanalytic subset $A \subset \mathbb{R}^n$, the Clarke tangential regularity of $A$ at $x_0 \in A$ is equivalent to the coincidence of the Clarke's tangent cone to $A$ at $x_0... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.