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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18086 | # Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty
## Maximal regularity of discrete and continuous time evolution equations
### Tom 146 / 2001
Studia Mathematica 146 (2001), 157-176 MSC: 39A12, 42A45, 47D06. DOI: 10.4064/sm146-2-3
#### Streszczenie
We consider the maximal regularity problem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18087 | # why splitting lemma fails for nonabelian groups?
Like the title said, I want to ask why does it fail. The claim and the counterexample here https://ipfs.io/ipfs/QmXoypizjW3WknFiJnKLwHCnL72vedxjQkDDP1mXWo6uco/wiki/Splitting_lemma.html are very convincing. But what would be wrong with the proof?
Let
$$0\to A \to B \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18088 | # All the circles having centres on a fixed line and passing thorugh a fixed point outside the fixed line; also passes through another fixed point
Prove that all the circles having centres on a fixed line and passing thorugh a fixed point (not lying on the fixed line) also passes through another fixed point.
My attem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18089 | 2 added 983 characters in body; edited body
Unfortunately, I can only provide a reference but no ideas since I don't have the paper. In "On the problem of generating sigma-algebras by topologies", Statist. Decisions 2 (1984), 377-388, Albert Ascherl shows (at least according to the summary to be found on MathSciNet) t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18092 | Algebra
# Complex Numbers - Factoring Polynomials
A quadratic polynomial with real coefficients has $19 + 8 i$ as a root. If the other root has the form $a + bi$, where $a$ and $b$ are real numbers, what is the value of $a + b$?
If $x (x-4-9i)(x-a+bi) = x^3 -8x^2+97x,$ what is $a + b$ ?
Details and assumptions
$i$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18093 | # Prove that in every tree, any two paths with maximum length have a node in common.
Prove that in every tree, any two paths with maximum length have a node in common. This is not true if we consider two maximal (i.e. non-extendable) paths.
What does this even mean?
-
If we have a path we can measure its length (how... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18094 | #### Solution
A point is internal for a given polygon, if the following four conditions are applied at the same time:
• The point is placed to the right from the left side of the rectangle.
• The point is placed to the left from the right side of the rectangle.
• The point is placed downwards from the upper side of t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18095 | # Find the eccentricity of an ellipse whose latus rectum is one half of its
Question:
Find the eccentricity of an ellipse whose latus rectum is one half of its minor axis.
Solution:
Let the equation of the required ellipse is
$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ ............(i)
It is given that
Length of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18091 | # B How can you do e.g. 756 x 675 mentally?
#### cyentist
Hello!
How can you do e.g. 756 x 675 mentally?
Any good trick?
#### hilbert2
Science Advisor
Gold Member
Hello!
How can you do e.g. 756 x 675 mentally?
Any good trick?
To do that, you need a very good short-term memory to not lose track of what you're do... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18081 | # given cot theta =2/5,find the value of theta.please explain it to me thnks :D?
This porgram analyzes the curve of the trig functions given in the form D+A*sin/cos/sec/csc/tan/cot ... for theta. exacto.zip: 1k: 02-08-09: Exact value's ... give me ... - Read more
Her quotation explains how nurse must act ... Virginia... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18090 | # What is work done by a person in moving a block of mass 2kg on a frictionless floor up to a distance of 5m?
###### Question:
What is work done by a person in moving a block of mass 2kg on a frictionless floor up to a distance of 5m?
#### Similar Solved Works
© Simplify fully 50 120 Help...
### Which of these des... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10912 | # Homotopy Type Theory closed interval > history (Rev #4)
## Definition
Given an ordered type $A$ and terms $a:A$ and $b:A$ a closed interval $[a, b]$ is a dependent type defined as
$[a, b] \coloneqq \sum_{c:A} (a \leq c) \times (c \leq b)$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10913 | # Surface Integral
• March 16th 2006, 09:26 AM
jedoob
Surface Integral
I need to compute the surface integral of (curl A).n dS where:
A= (xyz+2)i + xj + ((x^2)z + (y^2))k
and S is defined by z>=0, z=16-(x^2)-(y^2).
(n is the unit normal field).
Thanks.
• March 17th 2006, 04:01 AM
TD!
First, I calculated this usin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10915 | # Introduction to Differential Equations
llamaz 1 hour ago [-]
I think the calculus of variations might be a better approach to introducing ODEs in first year.
You can show that by generalizing calculus so the values are functions rather than real numbers, then trying to find a max/min using the functional version o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10916 | ## Recursos de colección
1. #### A well posedness result for generalized solutions of Hamilton-Jacobi equations
Zagatti, Sandro
We study the Dirichlet problem for stationary Hamilton-Jacobi equations $$\begin{cases} H(x, u(x), \nabla u(x)) = 0 & \ \textrm{in} \ \Omega \\ u(x)=\varphi(x) & \ \textrm{on} \ \partial \Om... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10917 | 1
by shang4
• Brainly User
2016-06-26T12:21:18+08:00
2r² = 32
Standard form:
2r² - 32 = 0
a = 2 b = 0 c = -32
1) First, let's determine the nature of its roots, by finding the discriminant (k):
k = b² - 4(a)(c)
k = (0)² - 4(2) (-32)
k = 256 and 256 > 0 (that, is k > 0)
If k > 0 and is a per... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10919 | # Schedule for: 20w5077 - New Directions in Geometric Flows (Cancelled)
Beginning on Sunday, March 29 and ending Friday April 3, 2020
All times in Banff, Alberta time, MDT (UTC-6).
Sunday, March 29
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Professional Development Centre)
17... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10920 | A rational map from one variety (understood to be irreducible) $X$ to another variety $Y$, written as a dashed arrow $X \dashrightarrow Y$, is defined as a morphism from a nonempty open subset $U$ of $X$ to $Y$. By definition of the Zariski topology used in algebraic geometry, a nonempty open subset U is always the com... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10921 | Update all PDFs
# Comparing Freezing Points
Alignments to Content Standards: 7.NS.A.1
Ocean water freezes at about $-2 \frac12 ^\circ C$. Fresh water freezes at $0 ^\circ C$. Antifreeze, a liquid used in the radiators of cars, freezes at $-64 ^\circ C$.
Imagine that the temperature has dropped to the freezing point... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10922 | # Thread: Ordinary Annuities: Future Value and Present Value
1. ## Ordinary Annuities: Future Value and Present Value
Need help with 2 problems. 1.)Charlene has made contributions of 3,400 dollars to her RRSP at the end of every half year for the past seven years. The plan has earned 9% compounded semiannually. She ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10923 | # Supersymmetric Noether theorem and supercurrents — invariance requirements
Consider $\mathcal{N}=1,d=4$ SUSY with $n$ chiral superfields $\Phi^i,$ Kaehler potential $K,$ superpotential $W$ and action ($\overline{\Phi}_i$ is complex conjugate of $\Phi^i$) $$S= \int d^4x \left[ \int d^2\theta d^2\overline{\theta} K(\P... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10924 | # How do you find the roots, real and imaginary, of y=2(x+3)^2-(x-3)^2 using the quadratic formula?
Dec 29, 2015
$y = 2 {\left(x + 3\right)}^{2} - {\left(x - 3\right)}^{2}$
$\implies y = 2 \left({x}^{2} + 6 x + 9\right) - \left({x}^{2} - 6 x + 9\right)$
$\implies y = 2 {x}^{2} + 12 x + 18 - {x}^{2} + 6 x - 9$
$\impl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10926 | Integral China Intermediate
Problem - 4578
Calculate $$\lim_{n\to\infty}\frac{1}{n^2}\sum_{k=1}^{n}\left(k\sin\frac{k\pi}{n}\right)$$
The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for$99. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10927 | # Find with proof the integer
#### lfdahl
##### Well-known member
$n$ is a positive integer with the following property:
If the last three digits of $n$ are removed, $\sqrt[3]{n}$ remains.
Find with proof $n$.
Source: Nordic Math. Contest
#### Opalg
##### MHB Oldtimer
Staff member
$n$ is a positive integer with ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10925 | ## Wikipedia - Metro metre
https://doi.org/10.1351/goldbook.M03884
SI base unit for length (symbol: $$\text{m}$$). The metre is the length of path travelled by light in vacuum during a time interval of $$\frac{1}{299\ 792\ 458}$$ of a second.
Sources:
Green Book, 2nd ed., p. 70 [Terms] [Book]
PAC, 1996, 68, 957. (Glos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10914 | Fredholm Integrals of the Second Kind with an unknown Kernel
I am trying to solve the equation:
$\phi(x)=\int_{-\infty}^\infty K(x, t)\phi(t)dt$
for $K$ given $\phi$. This closely resembles a Fredholm Integral of the Second Kind, which has the form:
$\phi(x)=f(x)+\lambda \int_{-\infty}^\infty K(x, t)\phi(t)dt$
wit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10918 | # Rule of Simplification/Proof Rule/Tableau Form
## Proof Rule
Let $\phi \land \psi$ be a propositional formula in a tableau proof whose main connective is the conjunction operator.
The Rule of Simplification is invoked for $\phi \land \psi$ in either of the two forms:
Form 1
Pool: The pooled assumptions of $\phi ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16032 | My Math Forum which one is the lengthiest
Algebra Pre-Algebra and Basic Algebra Math Forum
March 22nd, 2014, 07:26 PM #1 Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1 which one is the lengthiest $\triangle ABC ,\,\,$ with side length : $a,b,\,\, and \,\, c$ we have : $(1) a^2-a-2b-2c=0$ $(2)a+2b-2c+3=0$ now... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16033 | # Does $A^n$ is unitary imply that $A$ is unitary?
I'll repeat it just to meet the quality standards: On a complex-valued vector space, does $A^n$ is unitary imply that $A$ is unitary?
-
@DavideGiraudo What about it? – ante.ceperic Jan 13 '13 at 15:09
Zero matrix isn't unitary. – ante.ceperic Jan 13 '13 at 15:12
If... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16034 | For example, { a,b,c,d,e} is a set of five elements, thus it is a finite set. The material is mostly elementary. Venn diagram, invented in 1880 by John Venn, is a schematic diagram that shows all possible logical relations between different mathematical sets. Sets can be classified into many types. Power set of a set S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16036 | # 1.4: Numerical Descriptions of Data I: Measures of the Center
Oddly enough, there are several measures of central tendency, as ways to define the middle of a dataset are called. There is different work to be done to calculate each of them, and they have different uses, strengths, and weaknesses.
For this whole sec... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16037 | Point Processes with Specified Low Order Correlations
E. Caglioti, T. Kuna, J.L. Lebowitz, E.R. Speer
2006, v.12, Issue 2, 257-272
ABSTRACT
Given functions $\rho_k({\ r}_1,{\ldots},{\ r}_k)$, defined on $(R^d)^k$ or $(Z^d)^k$ for $k = 1,{\ldots},n$, we wish to determine whether they are the first $n$ correlation fu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16038 | # GEOM 2 | Lesson 2: Introduction to Trigonometry
## Overview
### Learning Intentions (Objectives)
a) Students will develop the relationship of the sides of 45-45-90 and 30-60-90 degree triangles, and define trigonometric ratios for right triangles.
b) Students will apply trigonometric ratios to real-world problems... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16039 | 1. ## Chi Squared Assistance
Hi all I'm having trouble getting my head around a prescribed problem. Chi squared is mandatory. No room to move on that.
See attached. I need to use chi squared to describe whether there's a statistically significant difference in the occurrence of the thing observed based on vegetation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16042 | ## College Algebra (6th Edition)
$x=7$
$\dfrac{6}{x+3}-\dfrac{5}{x-2}=\dfrac{-20}{x^{2}+x-6}$ Factor the denominator of the fraction on the right side: $\dfrac{6}{x+3}-\dfrac{5}{x-2}=\dfrac{-20}{(x+3)(x-2)}$ Multiply the whole fraction by $(x+3)(x-2)$: $(x+3)(x-2)\Big[\dfrac{6}{x+3}-\dfrac{5}{x-2}=\dfrac{-20}{(x+3)(x-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16043 | To verify the trigonometric identities, we usually start with the more complicated side of the equation and essentially rewrite the expression until it has been transformed into the same expression as the other side of the equation. window.onload = init; © 2020 Calcworkshop LLC / Privacy Policy / Terms of Service. iden... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16045 | # Year 8
## Number and Algebra
### Plotting linear relationships and examples of linear relations
Students should first plot points. In year 8, they plot points from tables of values of both functions. It is possible to introduce the concepts of gradient and y-intercept at this level.
The number plane (Cartesian pl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16035 | ## cinar Group Title I have some combination questions: (a) The Mathematics departmental office has the following stock of dry-erase markers: 7 Red, 4 Navy blue, 6 Green, 8 Black. They are to be distributed, 1 apiece, to the 25 members of the department. How many outcomes are possible? (b) The Chemistry departmental of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16040 | # quantum super-A-polynomials
qsuperApoly.tex on github : ernestyalumni
## Abstract/Executive Summary
I cover background material for Chern-Simons Theory and other areas for quantum super-A-polynomials. I’m also taking this opportunity to write up accompanying (Python) scripts (github:qSApoly).
Notes as a LaTeX fil... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16041 | # Question - Operations on Matrices - Addition of Matrices
Account
Register
Share
Books Shortlist
#### Question
Solve the following matrix equation for x: [x 1] [[1,0],[−2,0]]=0
#### Solution
You need to to view the solution
Is there an error in this question or solution?
S |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16044 | • ### Metaplectic transformations and finite group actions on noncommutative tori(1705.11194)
Jan. 28, 2019 math.OA, math.KT
In this article we describe extensions of some K-theory classes of Heisenberg modules over higher-dimensional noncommutative tori to projective modules over crossed products of noncommutative to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16047 | Fourier Series Coefficients
## Introduction
I am going to compute some fourier series coefficients.
## CT signals
$\text{1) } x(t) = sin(6 \pi t), \text{ the frequency of this signal is } \omega_{o} = 6\pi.$
\begin{align} x(t)& = \frac{e^{j6\pi t} - e^{-j6\pi t} }{2j} \\ & = \frac{1}{2j} e^{j6\pi t} - \frac{1}{2j}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16046 | Is $\{ 0^p1^q0^r \mid p \neq r \}$ context-free?
Consider the following languages:
\begin{align*} L_1 &= \{ 0^p 1^q 0^r \mid p,q,r \ge 0 \}, \\ L_2 &= \{ 0^p 1^q 0^r \mid p,q,r \ge 0, \; p \neq r \}. \end{align*}
Which one of the following statements is false?
A. $$L_2$$ is context-free.
B. $$L_1 \cap L_2$$ is con... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20448 | Alcune generalizzazioni del Teorema di Poincaré-Miranda
Let f be a continuous vector field on a set D, defined as the product of n closed intervals, with values in R^n. If on each couple of opposite faces of D the field f points either always inward or always outwards, Poincaré-Miranda’s Theorem states the existence o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20449 | # St. Petersburg Demon – a thought experiment that makes me doubt Longtermism
post by wuschel · 2022-05-23T11:49:19.997Z · EA · GW · 41 comments
## Contents
You are a traveling EA on a trip to St. Petersburg. In a dark alley, you meet a Demon with the ability to create Universes and a serious gambling addiction. H... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20450 | But however, it is important to know that correlation has three major types of relationships. This has been a guide to the Correlation Coefficient and its definition. A linear relationshipbetween two variables is captured by the formula y = b + m x, where b is the y interceptand m is the slope. The numerator part of th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20451 | Two Particles Collide - Momentum and Energy
1. Feb 2, 2016
TristanJones
1. The problem statement, all variables and given/known data
Q: A 3.000u object moving to the right through a laboratory at 0.8c collides with a 4.000u object to the left of the laboratory at 0.6c. Afterward, there are two objects, one of which ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20453 | # Prove $|A.B|=|A|.|B|$ using matrix algebra [duplicate]
How to prove that the determinant of the product of matrices is equal to product of their respective determinants ?.ie,
$$|A.B|=|A|.|B|$$ where $A,B$ are square matrices of the same order.
I have no clue of where to start, I just know the following $$|A|I=A(ad... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20454 | # 2004 AMC 12A Problems/Problem 20
## Problem
Select numbers $a$ and $b$ between $0$ and $1$ independently and at random, and let $c$ be their sum. Let $A, B$ and $C$ be the results when $a, b$ and $c$, respectively, are rounded to the nearest integer. What is the probability that $A + B = C$?
$\text {(A)}\ \frac14 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20456 | • Corpus ID: 18079488
# REGULAR HONEYCOMBS IN HYPERBOLIC SPACE
@inproceedings{Coxeter1956REGULARHI,
title={REGULAR HONEYCOMBS IN HYPERBOLIC SPACE},
author={H. S. M. Coxeter},
year={1956}
}
made a study of honeycombs whose cells are equal regular polytopes in spaces of positive, zero, and negative curvature. The spher... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20457 | # Direct product explained
In mathematics, one can often define a direct product of objects already known, giving a new one. This generalizes the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one talks about the product in category theory, whi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20459 | # Mod of the cubics!
Algebra Level 4
It is known for a complex number $$z=a+ib$$, ($$a,b\in R$$) that
$|z|=|{ z }^{ 2 }|+|{ z }^{ 3 }|$
It is also know that $0<a<\sqrt { \frac { 1 }{ 2 } \left( 3-\sqrt { 5 } \right) }$
Then $$|b|$$ can be expressed as $\sqrt { \frac { -A{ a }^{ 2 }-\sqrt { B } +C }{ D } }$
Here $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20461 | # Linear Regression
This article discusses the basics of linear regression and its implementation in Python programming language.
Linear regression is a statistical approach for modelling relationship between a dependent variable with a given set of independent variables.
Note: In this article, we refer dependent va... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20462 | # Formula for weighted simple linear regression
This wiki page Simple linear regression has formulas to calculate $\alpha$ and $\beta$. Could anyone tell me how to derive the formulas in weighted case?
Think of ordinary least squares (OLS) as a "black box" to minimize
$$\sum_{i=1}^n (y_i - (\alpha 1 + \beta x_i))^2$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20463 | # Proof of independence of representation of simple functions
Let $(X,\mu)$ be a measure space and $$f = \sum_{j = 1}^m a_j \chi_{A_j} = \sum_{k = 1}^n b_k\chi_{B_k}$$ for $a_j,b_k \geqslant 0$, $A_j$, $B_k$ measurable. Now I want to show $$\sum_{j = 1}^m a_j \mu(A_j) = \sum_{k = 1}^n b_k \mu(B_k)$$ To do so, we defin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20452 | GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 25 May 2020, 07:44
### 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-00003-of-00114-e7fc257ef044bc03_doc_20460 | # Calculus 2 : Polar Form
## Example Questions
### Example Question #51 : Polar Form
What is the polar form of ?
Explanation:
We can convert from rectangular to polar form by using the following trigonometric identities: and . Given , then:
### Example Question #52 : Polar Form
What is the polar form of ?
Expla... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20455 | # Find the acute angle between the lines whose direction ratios are 5, 12, -13 and 3, - 4, 5. - Mathematics and Statistics
Find the acute angle between the lines whose direction ratios are 5, 12, -13 and 3, - 4, 5.
#### Solution
cos theta=|(a_1a_2+b_1b_2+c_1c_2)/(sqrt(a_1^2+b_1^2+c_1^2)sqrt(a_2^2+b_2^2+c_2^2))|
=|(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20458 | ## anonymous 5 years ago need help find the inverse of a 3x3 matrix
1. anonymous
1 2 0 0 3 -1 1 2 -1
2. anonymous
First, make sure you know the formula: $A^{-1}=\frac{1}{\det(A)}adj(A).$ Finding the determinant shouldn't be too difficult; but finding the adjugate matrix can be tricky. First, you want to take the tr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14224 | # simplification questions and answers for competitive exams :: ::
## Home simplification questions and answers for competitive exams / Questions and Answers
1. $7 \frac{2}{7}$ of $189+452=2000-?$
a
183
b
164
c
170
d
198
e
None of these
Answer : Option D Explanation :
2. 68% of 595 – 43% of 372 = ?
a
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14226 | So a carbon attached to 4 carbons has an oxidation state of zero. So the change in oxidation number of 1 C atom is 1. Using this guideline, the oxidation half reaction must be multiplied by "3" to give the 6 electrons required by the reduction half-reaction. Carefully, insert coefficients, if necessary, to make the num... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14227 | # Center of gravity: Really confused (HW problem)
by Izzybee
Tags: confused, gravity
P: 11
Hi everyone,
My question is:
Find the center of gravity for the board below: Assume that the board is uniform in thickness and that the hole in the plate is centered from top to bottom:
I only know that you have to find the ar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14228 | A fire engine has its hose attached to an aerial ladder 20 m above the pump. The pump drives the water through the hose at 0.03 m $$^{3}$$ /s. The hose diameter is 15 cm and the nozzle diameter is 4 cm. Calculate the following a) Speed of water at the nozzle. b) Speed of water at the pump. c) Pressure at the pump. d) P... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14230 | ### Analysis and Probability SeminarAn Introduction to Caloric MeasureAlyssa Genschaw (UConn)
Friday, October 18, 2019
1:30pm – 2:30pm
Storrs Campus
MONT 313
Abstract: We will define caloric measure by first looking at the definition of harmonic measure (the steady state analogue of caloric measure) and some interpr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14231 | # Comparing measurements of a 2D quantum harmonic oscillator between cartesian and rotated cartesian coordinates
I've come across an old quantum exam problem that's causing me a bit of confusion, and I'm hoping someone can offer some clarity:
There is a particle in a 2D harmonic oscillator potential such that it is d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14232 | # HSC 2018-2019 MX2 Integration Marathon (1 Viewer)
How?
#### blyatman
##### Active Member
Literally 5s of googling will tell you that this integral cannot be expressed using elementary analytical functions. If you plug this into wolframalpha, you can get the result in terms of an elliptic integral.
I like how the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14234 | 1. Lateral Area
The lateral area of a rectangular prism is 156 square inches. What are the possible whole-number dimensions of the prism if the height is 13 inches?
Since lateral area = (perimeter)(height), would it be something like...
$156$ $=$ $(a)$ $(13)$
...? And if that were how you set it up, how would I spl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14235 | ### Constructing dark energy models with late time de Sitter attractorConstructing dark energy models with late time de Sitter attractor
Access Restriction
Open
Author Hao, Jian-gang ♦ Li, Xin-zhou Source arXiv.org Content type Text File Format PDF Date of Submission 2003-06-04 Language English
Subject Domain (in D... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14236 | Crystal P.
# How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze
## 2 Answers By Expert Tutors
By:... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14238 | The Fundamental Group of a Topological Product
# The Fundamental Group of a Topological Product
Theorem 1: Let $X$ and $Y$ be topological spaces and let $X \times Y$ denote the product of these spaces. Then $\pi_1(X \times Y, (x, y))$ is isomorphic to $\pi_1(X, x) \times \pi_1(Y, y)$.
• Proof: Let $p_1 : X \times Y ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14239 | # Morphisms induced by effective divisors on $\mathbf P^1$
This question is about the proof of Theorem V.2.17 in Hartshorne's Algebraic Geometry. Here everything is defined over some algebraically closed field $k$. Define $\mathcal O = \mathcal O_{\mathbf P^1}$. Let $e \ge 0$ be an integer. Then the following is what ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14229 | # Isomorphisms of Brin-Higman-Thompson groups
Warren Dicks, Conchita Martínez-Pérez
Research output: Contribution to journalArticleResearchpeer-review
7 Citations (Scopus)
## Abstract
© 2014, Hebrew University Magnes Press. Let m, m′, r, r′, t, t′ be positive integers with r, r′ ⩾ 2. Let \$\mathbb{L}_r \$ denote t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14233 | Sign up for our free STEM online summer camps starting June 1st!View Summer Courses
### With what initial velocity must an object be thro…
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Problem 60
Vertical Motion In Exercises $60-62$ , ass... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14225 | # Uppdaterad Sonic-spellista! - Sonic Magazine
Poser - OMNIA
PS150 BOOST water pump pdf manual download. In this video, we are going to play around a bit with some equations of special relativity called the Lorentz Boost, which is the correct way to do a coordin View and Download Lorentz PS200 installation operation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14237 | HomeEnglishClass 9MathsChapterLines And Angles
Find the measure of an angle w...
# Find the measure of an angle which is 32^(@) more than its complement.
Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
Updated On: 30-5-2021
Apne doubts clear karein ab Whatsapp pa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14753 | Testing students
Giving a test to a group of students, the grades and gender are summarized below.
A B C Total
Male 20 6 19 45
Female 17 18 13 48
Total 37 24 32 93
If one student is chosen at random,
a) Find the probability that the student got a B.
b) Find the probability that the student was female AND got a "C"... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14755 | # Questions Asked onMarch 27, 2013
1. ## Chemistry
1. Which metal is the most easily oxidized? A.) highly active metal *B.) moderately active metal C.) slightly active metal D.) an inactive metal 2. What happens in a voltaic cell? *A.) Chemical energy is changed to a electrical energy. B.) Electrical
2. ## Math
Mr.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14756 | Computer Service and Repair
- Virus/Spyware/Malware Removal - Troubleshoot and resolve Windows - Diagnose Desktop, Laptop Hardware issues - Install / Uninstall Software, Applications, Drivers and other programs - Configure Windows Firewall & Automatic updates - Run complete spyware, adware and virus scan - Run utili... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14757 | # Marginal Posterior distribution with Normal observations
According to chapter 3 of Gelman's Data Bayesian Analysis[DBA], when we have $y_i\sim N(\mu,\sigma^2)$, and $p(\mu,\sigma^2)\propto (\sigma^2)^{-1}$
Then, $p(\mu,\sigma^2|\mathbf{y})\propto \sigma^{-n-2} exp\left( -\frac{1}{2\sigma^2}(n-1)s^2+n(\bar y -\mu)^2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14759 | ## Abstract
This paper estimates the macroeconomic costs of CO2 emission reduction in China employing the input-output analysis with the multi-objective programming approach. The results show that the effect of reducing CO2 emissions on China’s economy is significant. Under the present conditions, the estimated macroe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14761 | # Toronto Math Forum
## MAT334-2018F => MAT334--Tests => Quiz-7 => Topic started by: Victor Ivrii on November 30, 2018, 03:56:08 PM
Title: Q7 TUT 0202
Post by: Victor Ivrii on November 30, 2018, 03:56:08 PM
Using argument principle along line on the picture, calculate the number of zeroes of the following function in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14762 | # How do you balance P_4(s) + Cl_2(g) -> PCl_5(g)?
Jun 12, 2017
${P}_{4 \left(s\right)} + 10 C {l}_{2 \left(g\right)} \to 4 P C {l}_{5 \left(g\right)}$
#### Explanation:
We'll balance the most complex compound first: $P C {l}_{5}$
The easiest way to do this is to balance the $P$ since the ratio of $P : P C {l}_{5}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14765 | # How do you solve 4|x + 5| + -6 = 34?
Apr 19, 2017
$x = 5 , x = - 15$
#### Explanation:
Given: $4 | x + 5 | + - 6 = 34$
Start by adding $6$ to both sides of the equation:
$4 | x + 5 | + - 6 + 6 = 34 + 6$
Simplify: $4 | x + 5 | = 40$
Divide both sides by $4$: $\frac{4 | x + 5 |}{4} = \frac{40}{4}$
Simplify: $|... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14766 | # Another faceless jigsaw 2
This one is tougher.
Start with a square. Suppose the top and bottom of the square can be either straight or have an interlocking pattern, as shown in the two examples below:
And suppose the left and right of the square can be either straight, concave or convex, as shown in the examples b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14752 | # nLab locally finitely presentable category
Contents
category theory
## Applications
#### Compact objects
objects $d \in C$ such that $C(d,-)$ commutes with certain colimits
# Contents
## Definition
###### Definition
A locally finitely presentable category is an ${}_0$-locally presentable category.
We spell ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14754 | # Event of Probability
Any part of the sample space is called an even of a probability. An event may contain one or more than one outcomes. When an event consists of a single outcome (sample points), it is called a simple event. An event which has two or more outcomes is called a compound event. The sample points cont... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14758 | # Sufficient Statistic
A Sufficient Statistic is a statistical inference based on the sufficiency principle.
## References
### 2015
• (Wikipedia, 2015) ⇒ http://www.wikiwand.com/en/Sufficient_statistic Retrieved 2016-07-30
• In statistics, a statistic is sufficient with respect to a statistical model and its associ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14760 | NON-TRIVIALITY OF TWO HOMOTOPY ELEMENTS IN π*S
Title & Authors
NON-TRIVIALITY OF TWO HOMOTOPY ELEMENTS IN π*S
Liu Xiugui;
Abstract
Let A be the mod p Steenrod algebra for p an arbitrary odd prime and S the sphere spectrum localized at p. In this paper, some useful propositions about the May spectral sequence are firs... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14763 | # Bijection between well-ordered set and ordinal
We are working in ZF.
Problem (part 1). Suppose we have well-ordered set $(M, <)$. How to show that there exists a bijection $f$ between this set and some ordinal $x$ that preserves order?
I can use the following theorem:
Theorem. Let $F$ be a functional and $(A, <)$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14767 | Application Domains
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Bibliography
PDF e-Pub
## Section: Research Program
### Discrete geometric structures
Our work on discrete geometric structures develops in several directions, each one probing a different type of structure. Although thes... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14764 | # A proof from Baby Rudin using the Archimedean Property
There's a very small detail in the proof of Theorem 1.20 on page 9 that confuses me a little. I feel like I'm missing something. The Theorem proves the fact that between any two real number $x<y$, there is a rational number $p$ with $x < p < y$.
He uses the Arc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15712 | +0
# Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)-1$ is divisible by $(x-1)^3$. $\bullet$ $f(x +1 199 1 +598 Find a polynomial$f(x)$of degree$5$such that both of these properties hold:$f(x)-1$is divisible by$(x-1)^3$.$f(x)$is divisible by$x^3$. michaelcai Jan 23, 2018... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15714 | # Operations on sets, parenthesis difference?
![enter image description here][1]I pretty much know how operations on sets work and I do have idea how to mark them on an axis but i find this a little different so if somebody could explain that to me please.
We have set $A = <0,1) \cup \{2\}, B = [0,5,2)$
find $A \cap... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15716 | # Really hard integrals?
pakmingki
can someone give me some really hard intergrals to solve?
make sure they are in the range of calculus 1-2 (anything before multivariable)
My teacher assigned some few hard integrals, and they are fun. I want to try moer.
thanks.
CollinsArg
yip
Try $$\int{\frac{(1+x^{2})dx}{(1-x^{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15717 | # Molecular Group Theory#
# import all python add-ons etc that will be needed later on
%matplotlib inline
import numpy as np
import matplotlib.pyplot as plt
from sympy import *
init_printing() # allows printing of SymPy results in typeset maths format
plt.rcParams.update({'font.size': 14}) # set ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15718 | QUESTION
# On selling 17 balls at Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:A. Rs.45B. Rs.50C. Rs.60D. Rs.55
Hint – In order to solve this problem we need to assume the cost price as a variable and then make an equation according to the problem and solve this problem.
$\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15720 | # Schlag Den Raab Das 2. Spiel !!HOT!! Crack
Schlag Den Raab Das 2. Spiel Crack
One more time the same error, where’s it from and how to fix it? Does Win 7 32bit make a difference? A: Possibly from Windows 7 not having a “System Volume Information” subfolder under “C:” The error is self explanatory. No “System Volume... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15721 | ## Compounded monthly effective interest rate
Apr 13, 2019 Effective interest rate is the annual interest rate that when applied to the Effective interest rate for monthly compounding = (1 + 10%/12)12 – 1 Compounding can take place daily, monthly, quarterly or semi-annually, depending on the account and financial ins... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15722 | Tits Reductive Groups over Local Fields Example 1.15 (Quasi-split special unitary groups in odd dimension)
I hope this question about Tits's paper "Reductive groups over local fields" in Algebraic groups and discontinuous subgroups ends up having an easy answer, but I'm a little stuck on the morass of notation. I have... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15725 | 1. ## [SOLVED] Another integral
Now another question
$
\int \frac{1}{\sqrt {x^2+a^2}}dx
$
2. Sorry sorry I got it coz I have to make the substitution of x=tan u
3. Originally Posted by roshanhero
Now another question
$
\int \frac{1}{\sqrt {x^2+a^2}}dx
$
Note that if $a=0$
It will be easy.
For the other values of a
S... |
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