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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19448 | Compute the Vandermonde determinant
Let $F$ be a field, $m \in \mathbb{N}$, and $\alpha : m+1 \rightarrow F$ be an injective map. Evaluate the determinant of the Vandermonde matrix
$V(\alpha) = [\alpha_i^j]_{i,j = 0}^m = \left[ \begin{array}{ccccc} 1 & \alpha_0 & \alpha_0^2 & \cdots & \alpha_0^m \\ 1 & \alpha_1 & \al... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19449 | # Work Problem
1. Feb 2, 2004
### eddo
I apologize that I don't know how to make the math equations.
Alright it's going to be kind of complicated trying to describe this in words, but I'll do my best. There is a tank shaped like a right cylinder on it's side. The length of the tank (or height of the cylinder) is 6m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19450 | Math Help - Consecutive Integers
1. Consecutive Integers
The square of the sum of two consecutive odd integers is 34. Find the two integers.
2. Lets call the first odd number $2x+1$ so the next odd number is $2x+3$
The square of there sum looks like this
$(2x+1+2x+3)^2$ making this equal to 34 we get
$(2x+1+2x+3)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19451 | ×
Cauchy-schwarz inequality.
Raghav Vaidyanathan you should see this.
Note by Trishit Chandra
2 years, 9 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19452 | # Integration of the defined function
Calculus Level 4
Let $$f(x)=x^3-3x-1.$$ For a real number $$t\geq-1,$$ define the function $g(t)=\max_{-1\leq x\leq t}|f(x)|.$ If $$\displaystyle \int_{-1}^{1}g(t)\, dt =\frac{p}{q},$$ where $$p$$ and $$q$$ are coprime positive integers, what is the value of $$p+q?$$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19453 | ## Duke Mathematical Journal
### Combinatorial cobordism maps in hat Heegaard Floer theory
#### Abstract
In a previous article, Sarkar and Wang [15] gave a combinatorial description of the hat version of Heegaard Floer homology for three-manifolds. Given a cobordism between two connected three-manifolds, there is an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19454 | # Find the limit $L = \lim\limits_{x \to \infty} \left( x \ln x + 2 x \ln \sin \frac{1}{\sqrt{x}} \right)$.
Problem: Find the limit $\displaystyle L = \lim_{x \to \infty} \left( x \ln x + 2 x \ln \sin \frac{1}{\sqrt{x}} \right)$.
Please suggest how to proceed in this problem. I will be grateful to you. Thanks.
## 4 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19440 | # Hovercraft (kleppner 2.37)
1. Dec 3, 2014
### geoffrey159
1. The problem statement, all variables and given/known data
The "Eureka Hovercraft Corporation" wanted to hold hovercraft races as an advertising stunt. The hovercraft supports itself by blowing air downward, and has a big fixed propeller on the top deck ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19445 | ## ohohaye one year ago What does the A, B, and C mean in Ax+by=C?
1. nincompoop
coefficients
2. ohohaye
All three of them?
3. nincompoop
no
4. anonymous
the slope is -A/B . the y-intercept is -C/B . (meanwhile, the x-intercept is -C/A)
5. nincompoop
c is constant
6. anonymous
and finding the x-intercept y=... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19455 | # How do you find the intercepts for y = -x - 2?
Oct 27, 2015
-2
#### Explanation:
If you have equation like $y = m x + c$ then $c$ is the intercept. Here your equation is $y = - x - 2$. So intercept is $- 2$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_19444 | zbMATH — the first resource for mathematics
Symmetrization in a class of first-order Hamilton-Jacobi equations. (English) Zbl 0543.35014
Isoperimetric inequalities and properties of the rearrangement of a function in the sense of Hardy and Littlewood are employed to prove comparison theorems for a class of problems of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6880 | 1. Fraction Word Problems
I have two fraction homework questions i need help on..I am totally stuck. Please help me if you know how to solve it. Thank you, your help is greatly appreciated!!
1.) A water is purification plant works by passing the dirty water through three filters in turn. The first takes out all but 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6882 | ## Basic College Mathematics (9th Edition)
Published by Pearson
# Chapter 5 - Ratio and Proportion - 5.2 Rates - 5.2 Exercises - Page 345: 34
#### Answer
Since \$0.047/ounce is less than \$0.049/ounce, Dazzle is the better buy.
#### Work Step by Step
Since Dazzle is concentrated to wash twice as many loads, 64 ou... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6885 | ## Functions Modeling Change: A Preparation for Calculus, 5th Edition
Published by Wiley
# Chapter 7 - Trigonometry and Periodic Functions - Strengthen Your Understanding - Page 320: 43
False
#### Work Step by Step
We find that the period is equal to: $$\frac{2\pi}{\pi}=2$$ Thus, the given statement is false.
Aft... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6887 | # Fourier coefficients
I hope I have understood this coreectly: A Fourier series has coefficients of order $O(n^{d+1})$ for a d times differentiable function. But what if the function is infinitely differentiable? The coefficients tend to have order 0? Ie the series is finite? Am I right? Thanks in advance!
-
A peri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6888 | # Math Help - Recursive Relations...
1. ## Recursive Relations...
I need help with this question...I have no idea how to start it.
A country uses as currency coins with values of 1 cent, 2 cents, 5 cents and 10 cents and bills with values of 5 cents, 10 cents, 20 cents and 100 cents. Find a recurrence relation for t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6889 | ### Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth
Hanen Hezzi
#### Abstract
The initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth is investigated. In the defocusing case, global well-p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6890 | # The Eulerian stretch of a digraph and the ending guarantee of a convergence routing
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
3 RESED... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6892 | # Inverse Reinforcement Learning from Incomplete Observation Data
Inverse reinforcement learning (IRL) aims to explain observed strategic behavior by fitting reinforcement learning models to behavioral data. However, traditional IRL methods are only applicable when the observations are in the form of state-action path... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6893 | # Group and Direct Products
• December 16th 2009, 06:42 PM
Group and Direct Products
Let G be a group and let G=HxK. Give an example where J is a subgroup of G, but not of the form H_1xK_1 where H_1 is a subgroup of H and K_1 is a subgroup of K.
• December 16th 2009, 07:21 PM
tonio
Quote:
Let G be a group and let G=H... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6894 | # How do you write the point slope form of an equation for a lint that passes through (9,-5) with m=0?
Jul 14, 2017
See a solution process below:
#### Explanation:
The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$
Where $\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6895 | Coaction on a finite dual of a Hopf algebra - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T22:03:54Z http://mathoverflow.net/feeds/question/47701 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/47701/coaction-on-a-finite-dual-of-a-hopf-algebra Coaction on a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6883 | Thread: How to Computing Square root of a Complex number...
1. How to Computing Square root of a Complex number...
Hi,
How do I compute square root of a complexed number without a calculator?
In other words how should I think and break down the following with just pen and paper?
$\displaystyle\sqrt{8i}$
I would ap... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6884 | JEDNOSTKA NAUKOWA KATEGORII A+
# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty
## On some new characterizations of weakly compact sets in Banach spaces
### Tom 201 / 2010
Studia Mathematica 201 (2010), 155-166 MSC: Primary 46A55, 46B20, 46B50; Secondary 46B03, 58C20, 46G05. DOI: 10.4064/sm... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6886 | # Congurency In Triangles
## Exercise 7.2
Question 1: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠ C intersect each other at O. Join A to O. Show that: (a) OB = OC (b) AO bisects ∠ A.
∠OBC = ∠ OAC (They are halves of angless B and C)
So, OB = OC (Sides opposite to equal angles)
In ΔAOB and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6891 | # Mathematical guessing
A total of 2,879 votes have been distributed among the seven candidates in a one-party primary election. It is known that none of the candidates has obtained the same number of votes as another and that if the number of votes obtained by any of the candidates is divided by the number of votes o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6881 | # Talk:Annulus (mathematics)
WikiProject Mathematics (Rated Start-class, Low-importance)
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16402 | ### Papers by G Leslie Frewin in the EMS Proceedings and Notes
The numerical evaluation of double integrals (with A C Aitken) Vol 42 (1923) |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16403 | ## On certain third order boundary value problems on infinite interval.(English)Zbl 1090.34518
The author study boundary value problem one of the following two types $\begin{gathered} y'''+2A(t)y'+[A'(t)+\lambda b(t)]y=0,\\ y(a)=y(b)=y(c)=0,\;\;\; \lim _{t\to +\infty } y(t)=0,\\ | y(t)| <K,\;\;\;| y'(t)| <K. \end{gath... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16404 | # Michael S. Rosenberg’s Laboratory
Computational Evolutionary Biology & Bioinformatics
E-mail: msr@asu.edu
← Back to introduction
## Redner index
The Redner index (Redner 2010) is just the square-root of the total citation count for all publications, similar to the Levene j-index, which is the sum of the square-ro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16405 | # Zipfs law in Multifragmentation
We discuss the meaning of Zipfs law in nuclear multifragmentation. We remark that Zipfs law is a consequence of a power law fragment size distribution with exponent $\tau \simeq 2$. We also recall why the presence of such distribution is not a reliable signal of a liquid-gas phase tra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16406 | # Probability that committee chosen from 8 men and 7 women has more men
A board of trustees of a university consists of 8 men and 7 women. A committee of 3 must be selected at random and without replacement. The role of the committee is to select a new president for the university. Calculate the probability that the n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16407 | # Measurement, information and entropy
1. Jan 26, 2014
### jk22
If we have a qubit in a mixed state, let say 1/2(+><+)+1/2(-><-) and we measure it. Is then the result a pure state + or - ? If this is the case, then the entropy of the system decreases.
Now the question another way round is :
Suppose we measure a qu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16408 | ## Term Assignment for Intuitionistic Linear Logic (1992)
### Cached
280 Computational Interpretations of Linear Logic – Samson Abramsky - 1993 44 Lilac – a functional programming language based on linear logic – I Mackie 87 Autonomous Categories and Linear Logic – M Barr - 1991 616 Light Linear Logic – Jean-yves Gi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16409 | The product of all the prime numbers less than 20 is closest to which : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
It is currently 20 Feb 2017, 10:56
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can esti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16410 | # 3 cats
3 cats eat 3 mice in 3 days. How many mice will be eaten by 10 cats in 10 days?
n = 33
### Step-by-step explanation:
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Tips to related online calculators
Do you want to convert time units like minutes to seconds?
## Related math proble... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16411 | Lemma 53.23.6. Let $k$ be a field. Let $X$ be a proper scheme over $k$ of dimension $1$ with $H^0(X, \mathcal{O}_ X) = k$ having genus $g \geq 2$. Assume the singularities of $X$ are at-worst-nodal and that $X$ has no rational tails. Consider a sequence
$X = X_0 \to X_1 \to \ldots \to X_ n = X'$
of contractions of ra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16412 | Go Moderate
Either Prof. Sansen’s inversion coefficient (IC) approach or Prof. Murmann’s Gm/Id design methodology is telling the same story of power-aware analog design.
With the help of Gm/Id design kit, I can easily visualize the transistor performance as a function of its gate-source voltage (see Fig.1). As VGS in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16413 | TL;DR:
Defintion: P-value is the probability of observing the current or more extreme data conditioned on a true null hypothesis. (key words are highlighted). Note that it is a conditional probability, and it is NOT only about observing the current data, but also more extreme ones.
P-value could be written as
$\math... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16415 | # Difference between revisions of "2019 AMC 12B Problems/Problem 13"
The following problem is from both the 2019 AMC 10B #17 and 2019 AMC 12B #13, so both problems redirect to this page.
## Problem
A red ball and a green ball are randomly and independently tossed into bins numbered with the positive integers so that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16414 | # What is the molar mass of calcium?
Mar 19, 2018
$40 \setminus \text{g/mol}$.
#### Explanation:
On the periodic table, it shows us that calcium has a mass of around $40 \setminus \text{amu}$.
We now need to convert from $\text{amu}$ to $\text{g/mol}$.
We know that the mass of one mole of carbon-12 atoms is $12 \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16400 | Analytic Geometry is the study of geometry using a coordinate system. It is important for many scientific fields, such as physics and aviation; it is also the foundation of every video game.
## Introduction
There is a lot more to analytic geometry than what I include in this text. As I am a programmer with an interes... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16401 | ## Calculation of the likelihood
After the prior and error probabilities have been estimated, the calculation of the likelihood is undertaken. For every combination of reference allele (site types) and nucleotide in every read, the probability of the observed allele being the same as the reference is calculated. These... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18496 | Anual Mensual Semanal Hoy Buscar Ir al mes específico Enero Febrero Marzo Abril Mayo Junio Julio Agosto Septiembre Octubre Noviembre Diciembre 2019 2020 2021 2022 2023 2024 2025 2026
PDEs: Italia vs España
PDEs: Italia vs España
Jueves 8 de abril, 15 - 17 horas.
Título: Systems of elliptic equations with double criti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18499 | # Math Help - An Isomorphism Question!
1. ## An Isomorphism Question!
Suppose that (A,*), (B,&) and (C,@) are sets with prescribed binary operations.
Prove that if (A,*) is isomorphic to (B,&) and (B,&) is isomorphic to (C,@), then (A,*) is isomorphic to (C,@).
2. By the given condition you have an isomorphism $f:A... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18500 | # Volume Question with cirular base and square top
1. Jun 23, 2005
### ktpr2
The question goes like this:
"The base of a certain solid is circular with a radius of 1. Cross-sections of the solid, perpendicular to the base, are square. Find the volume of the solid."
In visualizing this object, i see that it looks l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18502 | # LINEAR ALG.: A^2 is invertible, is the inverse of a^2 equal to the square of inv(A)?
1. Oct 2, 2006
### VinnyCee
Given that $A^2$ is invertible, does it neccesarily mean that
$$\left(A^2\right)^{-1}\,=\,\left(A^{-1}\right)^2$$?
I know that this is true, but I have no idea on where to even start a proof of this!
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18503 | # What are the local extrema of f(x)= x^3 - 3x^2 - x + 1?
$1 \pm 2 \frac{\sqrt{3}}{3}$
The derivative function is $3 {x}^{2} - 6 x - 1$ and this has roots $1 \pm \frac{\sqrt{3}}{3}$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18504 | # Determining the weights of known parameters in a formula
I have a formula of the following form:
$a_1*w + a_2*x + a_3*y + a_4*z$
In the above formula, the $a_i$s can be thought of as weights to the corresponding parameters. The values of the parameters $w, x, y,$ and $z$ are known whereas the $a_i$s are unknown.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18505 | # For permutations with “copies”, in what sense are the elements of the set distinct?
Suppose I have a set of elements $$S = \lbrace A,B,B,D,E \rbrace$$
Then the number of distinct permutations of size 5 is
$$\frac{5!}{2!} = 60$$
This is because $$S$$ contains a ‘copy’ of B.
But by definition, in a set of elements... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18507 | ## Algebra 1
Multiply the first equation by 2. Multiply the second equation by -3. Add the equations to eliminate x. $3x+2y=17\ \ \ \$multiply by 2$\ \ \ \ \ \ \ 6x+\ 4y=\ \ \ 34$ $2x+5y=26\ \ \ \$multiply y -3$\ \ \ \ \underline{-6x-15y=-78}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18508 | History of a result from Bézout
BÉZOUT'S THEOREM: Let $F$ and $G$ be projective plane curves of degree $m$ and $n$ respectively. Assume $F$ and $G$ have no common component. Then
$\displaystyle\sum_{P}I(P,F\cap G)=mn$
$I(P,F\cap G)$ is the intersection number of $F$ and $G$ at $P$.
I would like to get any reference... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18509 | # Free $\Phi$-cocompletion of a category
let $\Phi$ be a class of small categories (for example, finite categories). A category $D$ is called $\Phi$-cocomplete if it admits all $\Phi$-colimits, i.e. for diagrams of the form $I \to D$ with $I \in \Phi$. A functor is called $\Phi$-cocontinuous if it preserves $\Phi$-col... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18510 | # Dr. Stone - Arithmetic Battle 2020 October 26
So I’m watching Dr. Stone, and in the science demonstrating contest between Senkū and Chrome they have a final battle over who knows more math. This is a list of some of the math I think Senkū would have used to crush Chrome or at least some math tricks I think are reall... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18511 | # Math Help - Permutation
1. ## Permutation
Show that Sn={(1,2),(1,2,......,n)}
2. Originally Posted by mathemanyak
Show that Sn={(1,2),(1,2,......,n)}
If $\sigma = (1,2,\ldots,n)$ then $\sigma^k$ takes j to j+k (mod n) (for j=1,2,...,n). It follows that $\sigma^{k-1}(1,2)\sigma^{-k+1} = (k,k+1)$. But it is well kno... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18497 | Journal topic
Atmos. Chem. Phys., 18, 4229–4250, 2018
https://doi.org/10.5194/acp-18-4229-2018
Atmos. Chem. Phys., 18, 4229–4250, 2018
https://doi.org/10.5194/acp-18-4229-2018
Research article 28 Mar 2018
Research article | 28 Mar 2018
Potential of European 14CO2 observation network to estimate the fossil fuel CO2 e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18498 | System of Measurement of Angles
Sexagesimal System
$1 \text{ right angle } = 90^{\circ}$
$1^{\circ} = 60 \text{ minutes } = 60'$
$1' = 60 \text{ seconds } = 60''$
Centesimal System
$1 \text{ right angle } = 100 \text{ grads } = 100^g$
$1 \text{ grade } = 100 \text{ minutes } = 100'$
$1 \text{ minute } = 100 \te... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18501 | # How do you solve 31=-(1+6p)+4(p+6) using the distributive property?
May 27, 2017
$p = - 4$
#### Explanation:
$31 = \textcolor{red}{- 1} \left(1 + 6 p\right) \textcolor{red}{+ 4} \left(p + 6\right)$
$\text{multiplying out the brackets (distributive property ) gives}$
$31 = - 1 - 6 p + 4 p + 24$
$31 = 23 - 2 p \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18506 | # zbMATH — the first resource for mathematics
On the expected discounted penalty function for a perturbed risk process driven by a subordinator. (English) Zbl 1130.91032
The author considers the following perturbed risk model: $$U(t)=u+ct-S(t)+W(t)$$, where $$S$$ is a subordinator with zero drift and Lévy measure $$\n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15296 | # Tag Info
If you consider the following functions defined for $x\in \mathbb{R}$: $f(x) = \left\{\begin{array}{rl}1 & \text{if }x\in\mathbb{N}\\x&\text{otherwise}\end{array}\right.$ and $g(x) = \left\{\begin{array}{rl}x & \text{if }x\in\mathbb{N}\\1&\text{otherwise}\end{array}\right.$ Then you have: neither $f \in O(g... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15297 | # Factorial of 3/2?
How do you compute the factorial of something like 3/2 or -2? Wolfram Alpha gives an answer, but how does it arrive at that point?
-
This is the Gamma function. The gamma function is defined by an integral, and we define n! = Γ(n+1).
For factorials of half-integers, you can start with (1/2)! = Γ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15298 | # Sky2Pix_SlantOrthographic¶
class astropy.modeling.projections.Sky2Pix_SlantOrthographic(*args, **kwargs)[source]
Slant orthographic projection - sky to pixel.
Corresponds to the SIN projection in FITS WCS.
See Zenithal for a definition of the full transformation.
The following transformation applies when $$\xi$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15299 | # Complex number multiplication
Calculator nad formula for multiplying a complex number
## Multiplying a complex number
Complex number multiplication
Input Multiplier + i Multiplicand + i Decimal places 0 1 2 3 4 6 8 10 Result Product
## Formula for multiplication of complex numbers
This paragraph describes how ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15301 |
Remark 14.19.11. We do not need all finite limits in order to be able to define the coskeleton functors. Here are some remarks
1. We have seen in Examples 14.19.1 that if $\mathcal{C}$ has products of pairs of objects then $\text{cosk}_0$ exists.
2. For $k > 0$ the functor $\text{cosk}_ k$ exists if $\mathcal{C}$ ha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15302 | # Zee's book on QFT on the spin-1/2 state has $T^2=-1$, why not $T^2=+1$
In Zee's book on QFT, p.103, he showed that the spin-1/2 state has $$T^2=-1$$ by finding that the $$T = UK$$ has a matrix $$U\propto \sigma_2$$ and a complex conjugation $$K$$.
However, how do we know that we need $$T = UK$$ has a matrix $$U\pro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15304 | # Can I win this variant of the Banach-Mazur Game?
Suppose I play the following game against the Opponent. My moves are rational numbers $$p_i$$ and the Opponent's moves are real numbers $$\epsilon_i>0$$.
On turn $$n+1$$ the past move sequence is $$p_1,\epsilon_1,\ldots, p_{n}, \epsilon_{n}$$. I select a point $$p_{n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15306 | ## Archive for March, 2023
### Christopher Wren and the Cycloid
Sir Christopher Wren [ image https://www.gresham.ac.uk/ ]
The remarkable polymath Christopher Wren died in March 1723, just 300 years ago. Sarah Hart, Professor of Geometry at Gresham College, recently presented a lecture, The Mathematical Life of Sir C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15308 | # Extended negative binomial distribution
In probability and statistics the extended negative binomial distribution is a discrete probability distribution extending the negative binomial distribution. It is a truncated version of the negative binomial distribution[1] for which estimation methods have been studied.[2]
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15309 | ### Без рубрики
Статьи о мультипликации, производстве, маркетинг и реклама
07
Январь 2021
## properties of relations calculator
Transitive Property Calculator. Post Answer. Example: Closure of Relations : Consider a relation on set . Note: If a +1 button is dark blue, you have already +1'd it. When shock waves are i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15310 | GR 8677927796770177 | # Login | Register
GR9677 #28
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Lab Methods$\Rightarrow$}Oscilloscope
A superposition of two oscillations has the form $\sin \omega_1 t + \sin \omega_2 t = 2 \cos(\frac{\omega_1-\omega_2}{2}) \sin(\fra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15311 | Address Kahului, HI 96733 (808) 871-9911 http://fernantech.com
# is the minimum mean square error estimate Hana, Hawaii
Retrieved 8 January 2013. Suppose an optimal estimate x ^ 1 {\displaystyle {\hat − 0}_ ¯ 9} has been formed on the basis of past measurements and that error covariance matrix is C e 1 DaltonEdward R... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15300 | The Renormalizable Three-Term Polynomial Inflation with Large Tensor-to-Scalar Ratio
# The Renormalizable Three-Term Polynomial Inflation with Large Tensor-to-Scalar Ratio
Tianjun Li State Key Laboratory of Theoretical Physics and Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15303 | ## Where else do the (topology) separation axioms turn up?
As an undergraduate I learned point-set topology from Munkres's book, as did many others.
One topic that gets a lot of attention is the separation axioms. For example, a space $X$ is normal if any two closed, disjoint subsets of $X$ can be separated by open n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15305 | ## wcaprar Group Title What is the sum of the infinite series? 2 years ago 2 years ago
1. wcaprar Group Title
$\sum_{n=2}^{\infty} 2^n/3*5^{n+2}$
2. wcaprar Group Title
I see that you can take out the 5^2 and multiply that with three then simplify to get $(1/75)*(2/5)^n$ which is a geometric series. But when I solv... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15307 | It is currently 20 Sep 2017, 04:24
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11520 | Browse Questions
# A horizontal wire AB of length l is free to slide on a vertical conducting frame as shown. The wire has mass m and length l and resistance of circuit is R. The system is placed in a uniform magnetic field B directed perpendicular to the frame. The wire after falling a distance under the influence of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11521 | # Cahouet-Chabard preconditionner
A practical implementation of the Uzawa algorithm requires the choice of a preconditioner which suggest to take $p^{n+1}$ as a suitable approximation. We use the preconditioner given by Cahouet and Chabard [CC98]:
$-\alpha(\Delta)^{-1}+\mu \textbf{I}$ where $\alpha=\frac{\rho}{\Delta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11522 | # Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once)
Correct result:
x = 774
#### Solution:
$x = 147+258+369 = 774$
We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracie... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11523 | ## Calculus: Early Transcendentals 8th Edition
$y=5$
Since it is parallel to the x axis, the line has a slope of 0. The line is a horizontal line with y-intercept 5, so we can represent it with the equation $y=5$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11524 | Grade 8 Ratio and Variation Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)
Doorsteptutor material for CBSE/Class-8 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.
(a)
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11525 | # Where can I find resources for creating a mathematics “bridge course”?
I originally asked this over at MathOverflow, but it was suggested I might also find some good answers over here.
My university department is in the very early stages of developing a "bridge course" or "introduction to proofs" course, motivated ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11526 | # (02.01 MC) Which state of matter does this model represent? A} solid B} liquid C} gas D} plasma
###### Question:
(02.01 MC)
Which state of matter does this model represent?
A} solid
B} liquid
C} gas
D} plasma
### Put the verbs in brackets into the correct passive tense.1.A:Thoose shoes look so comfortable.B:They .... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11527 | # Vector Space
Please tell me one of the bases for the infinite dimenional vector space - R (the set of all real numbers) over Q (the set of all rational numbers). The vector addition, field addition and multiplication carry the usual meaning.
Dick
Homework Helper
Why do you think there is one you can describe constr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11529 | Identity with Harmonic and Catalan numbers
Can anyone help me with this.
Prove that
$$2\log \left(\sum_{n=0}^{\infty}\binom{2n}{n}\frac{x^n}{n+1}\right)=\sum_{n=1}^{\infty}\binom{2n}{n}\left(H_{2n-1}-H_n\right)\frac{x^n}{n}$$
Where $H_n=\sum_{k=1}^{n}\frac{1}{k}$.
The left side is equal to $$2\log(C(x))=2\log\left(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11530 | # Sum of primitive roots is congruent to $\mu(p-1)$ using Moebius inversion?
Wikipedia has the result that Gauss proved that for a prime number $p$ the sum of its primitive roots is congruent to $\mu(p − 1) \pmod{p}$ in Article 81.
I read it, but is there a faster proof using Moebius inversion instead of case by case... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11532 | +0
# A street light is on top of a 6m pole.
+3
618
4
+83
A street light is on top of a 6m pole.
A 1.8m tall man walks away from the pole at 1m/s. When he is 6m from the pole, at what rate is:
a) the tip of his shadow moving away from the pole?
b) the length of his shadow changing?
Marcop Jul 20, 2014
#3
+83
+... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11533 | Question
Simplify \frac{1+\frac{2}{x+4}}{1+\frac{9}{x-3}} Step 1: Find the LCM of the denominators of the fractions in the numerator and denominator. Step 2: Multiply the numerator and denominator of the complex fraction by the LCM. Step 3: Factor \frac{x-3}{x+4} Step 4: Divide out common factors.
Factors and multipl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11528 | # How do you sketch the angle (5pi)/4 and find its reference angle?
Apr 24, 2018
The reference angle is ${45}^{o}$
#### Explanation:
On the unit circle every ${45}^{o}$ is equal to $\frac{\pi}{4}$
So $\frac{5 \pi}{4}$ is equal to ${225}^{o}$
However the reference angle is always taken from degree from the $x$ axis... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11534 | # Proof for clalculus log rules
1. Jun 8, 2009
### brandy
proof for the differential log rule
proof for the integral log rule
2. Jun 9, 2009
### CompuChip
Do you mean why
$$\frac{d}{dx} {}^a\log(x) = \frac{1}{x \operatorname{ln}(a)}$$
and
$$\int {}^a\log(x) \, dx = \frac{1}{\operatorname{ln}(a)}\left( x \log(x) -... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11535 | ## SFU Number Theory and Algebraic Geometry Seminar: Tyler Kelly
• Date: 11/24/2022
• Time: 15:30
Lecturer(s):
Tyler Kelly, University of Birmingham
Location:
Simon Fraser University
Topic:
Open Mirror Symmetry for Landau-Ginzburg models
Description:
A Landau-Ginzburg (LG) model is a triplet of data (X, W, G) con... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11531 | IPM
30
YEARS OLD
## “School of Mathematics”
Back to Papers Home
Back to Papers of School of Mathematics
Paper IPM / M / 16022
School of Mathematics Title: Tanaka's theorem revisited Author(s): Saeideh Bahrami Status: To Appear Journal: Arch. Math. Logic Supported by: IPM
Abstract:
Tanaka (1997) proved a powerful ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18977 | # How do you evaluate s^2tdiv10 for s=-2 and t=-10?
Nov 28, 2016
$- 4$
#### Explanation:
First, rewrite this problem as:
$\frac{{s}^{2} t}{10}$
Now you can substitute the given values for $s$ and $t$ to evaluate the expression:
$\frac{\left(- {2}^{2}\right) \cdot \left(- 10\right)}{10}$
$\frac{\left(- 2 \cdot -... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18978 | ## Tuesday, June 19, 2012
### Why cocaine users should learn Bayes' Theorem
Diagnostic tests for diseases and drugs are not perfect. Two common measures of test efficacy are sensitivity and specificity. Precisely, sensitivity is the probability that, given a drug user, the test will correctly identify the person as p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18979 | # Math Help - kinematics of a particle
1. ## kinematics of a particle
Hiya, i have a very simple question! dunno how to work it out so i'd appreciate if someone showed me step by step and explained it.
-A, B and C are three points on a straight road such that AB = 80m and BC = 60m. A car travelling with uniform acce... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18980 | ## Area of a circle – proof by exhuastion
Once $\pi$ has been defined as the ratio circumference to diameter, the area of a circle must be $\pi r^{2}$.
A proof relies on an infinite, limiting process which paves the way to some calculus-like ideas.
A circle is cut up into 6 sectors which are then rearranged into a n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18981 | Working out mAh from current and time
If I know how many millamps I'm drawing, and also for how many milliseconds, how do I calculate this to mAh consumed?
-
3 Answers
There are 1000 milliseconds in 1 second. There are 3600 seconds in 1 hour. That gives us 3600000 milliseconds in hour.
Consumed charge will be:
C ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18983 | :: Little {B}ezout Theorem (Factor Theorem)
:: by Piotr Rudnicki
::
:: Received December 30, 2003
:: Copyright (c) 2003-2021 Association of Mizar Users
reconsider jj = 1 as Element of REAL by XREAL_0:def 1;
theorem Th1: :: UPROOTS:1
for f being FinSequence of NAT st ( for i being Element of NAT st i in dom f holds
f ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18984 | Mathematics > Exam > MATH 225N Week 6 quiz (2020) – Chamberlain College of Nursing | MATH225N Week 6 quiz (2020) (All)
# MATH 225N Week 6 quiz (2020) – Chamberlain College of Nursing | MATH225N Week 6 quiz (2020)
MATH 225N Week 6 quiz (2020) – Chamberlain College of Nursing QUESTION 1 1/1 POINTS A statistics professo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18986 | # Irreducible Spherical Tensor Operators
I had a question about Irreducible Spherical Tensor Operators and their relationship with the Clebsch Gordon coefficients.
Consider, then, a dyadic product $$T_{ik} = X_{i}Z_{k}$$ of two even parity rank 1 spherical tensors $$X_{i}$$ and $$Z_{k}$$, where $$i,k = -1, 0, 1$$. Th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18987 | # How to find whether equation of angle bisector represents the obtuse or acute angle bisector of two given straight lines?
Two lines: $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ are given. I know that the equation of its bisectors is ${a_1x + b_1y + c_1 \over \sqrt{(a_1^2 + b_1^2)}} = \pm {a_2x + b_2y + c_2 \... |
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