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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22515 | # Describing fans from hyperplanes
If $H_1, ..., H_n$ are hyperplanes in $\mathbb{R}^m$ such that the complement of the union $\cup_i H_i$ is the interior of a complete polyhedral fan, then how does one determine ray generators for each face of the fan?
This question came about by trying to figure this out when the h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22524 | # Article
Full entry | PDF (1.4 MB)
Keywords:
Jackknife estimator; least squares estimator; linear model; estimator of variance-covariance components; consistency
Summary:
Let $\theta^*$ be a biased estimate of the parameter $\vartheta$ based on all observations $x_1$, $\dots$, $x_n$ and let $\theta_{-i}^*$ ($i=1,2,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_22518 | ## Inequalities of Gagliardo-Nirenberg type and estimates for the moduli of continuity.(English)Zbl 1145.26010
Russ. Math. Surv. 60, No. 6, 1147-1164 (2005); translation from Usp. Mat. Nauk 60, No. 6, 139-156 (2005).
The author investigates multiplicative inequalities of the Gagliardo-Nirenberg type that connect parti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24048 | If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Main content
# Trig values of special angles
## Video transcript
Voiceover:So we have depicted h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24049 | # A very vague question about the cartesian product in mathematics.
Motivated by this question, I am wondering about Cartesian product analogs in various subfields of mathematics.
The set theoretic Cartesian product creates an "output" set from a set of "input" sets, so that each member of the output set corresponds ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24050 | Checking if a given differential equation is stiff
i have to decide if the following differential equation is stiff: $$y''(t)=-201y'-200y^2 + 2, \quad t\in[0,20].$$
Sadly, I don't have any solutions. So, what I did was implementing explicit and implicit euler and look at the result for various step sizes.
from numpy... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24051 | # Global well-posedness and scattering for the energy-critical Schrödinger equation in $\mathbb R^3$
### Abstract
We obtain global well-posedness, scattering, and global $L^{10}_{t,x}$ spacetime bounds for energy-class solutions to the quintic defocusing Schrödinger equation in $\mathbb{R}^{1+3}$, which is energy-cri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24052 | ### If you want to start a startup, go work for someone else
When you look online for advice about entrepreneurship, you will see a lot of "just do it":
The best way to get experience... is to start a startup. So, paradoxically, if you're too inexperienced to start a startup, what you should do is start one. That's a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24054 | # Integration of V(t) using faraday's law
1. Mar 9, 2006
### ilovephysics
Ok the question is with a U-shaped conductor and a bar that slides across. There is a battery and a switch, the switch is open for a long time then closed at t=0. Im supposed to find the velocity as a function of time. Im mostly having trouble... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24056 | Generating function of binary string with minimum lengths for 0s and 1s
a) Show that the generating function by length for binary strings where every block of 0s has length at least 2, each block of ones has length at least 3 is:
$$\frac{(1-x+x^3)(1-x+x^2)}{1-2x+x^2-x^5}$$
b) Give a recurrence relation and enough in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24057 | Main Body
# Chapter 1. Descriptive Statistics and Frequency Distributions
This chapter is about describing populations and samples, a subject known as descriptive statistics. This will all make more sense if you keep in mind that the information you want to produce is a description of the population or sample as a wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24059 | To install click the Add extension button. That's it.
The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.
4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Gri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24060 | # Finite dimensional $C^*$-algebras [closed]
Show that if a $C^*$-algebra $A$ is reflexive as a Banach space, then $A$ must be finite dimentional.
I tried to solve it; but, I could not. please help me for this exercise. Thanks a lot!
## closed as off-topic by Thomas, Davide Giraudo, user26857, Marconius, 6005Nov 5 '... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24061 | # Tag Info
0
If $M^n-N^{n-1}$ has two components, say $U,V$ you know that $U \cup V \subset M$ is open, since $N$ is closed, obviously $U\cap V = \emptyset$ and $U,V\subset M$ are both open subsets. Hence you know that $int( U)= U \subset cl(U) \subset U \cup N = M-V$, since $M-V$ is closed (note that this already gi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24063 | # Peeter Joot's (OLD) Blog.
• ## Recent Comments
Adam C Scott on avoiding gdb signal noise… Ken on Scotiabank iTrade RESP …… Alan Ball on Oops. Fixing a drill hole in P… Peeter Joot's B… on Stokes theorem in Geometric… Exploring Stokes The… on Stokes theorem in Geometric…
• 294,022
## Maxwell Lagrangian, rotation ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24055 | ## Brendan Rooney, Colourings, Vector Colourings and Cores
Colourings, Vector Colourings and Cores
Brendan Rooney
Department of Mathematical Sciences, KAIST
2015/10/28 Wed 5PM-6PM
A k-colouring of a graph G is a partition of V(G) into k independent sets. The chromatic number χ(G) is defined as the smallest k so that ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24058 | 402 views
For two positive integers a and b define the function h(a,b) as the greatest common factor (G.C.F) of a, b. Let A be a set of n positive integers. G(A), the G.C.F of the elements of set A is computed by repeatedly using the function h. The minimum number of times h is required to be used to compute G is
1. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24062 | In editing the algebraic geometry notes posted here, prompted by Brian Conrad, I am introducing the notion of radicial morphism. This seems to me to not be a notion that absolutely everyone should see in a first serious schemes course, given the volume of definitions a student must digest (even if this idea is wafer-th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24053 | The whole "mathiness" debate that Paul Romer started tumbled onwards this week while I spent four days in a car driving from Houston to Quechee, Vermont. I was able to keep up with several new entries (Harford, Rowe, Andolfatto, Romer) regarding the specifics of growth theory when it was my turn in the passenger seat. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1168 | # How do you evaluate sin^-1(sin((7pi)/10))?
Feb 26, 2017
$\frac{7 \pi}{10}$
#### Explanation:
Recall that ${\sin}^{-} 1 \left(x\right)$ is the inverse of $\sin \left(x\right)$
Recall that a composition of inverse functions returns the independent variable.
${f}^{-} 1 \left(f \left(x\right)\right) = x$
So, if $f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1169 | Address 3800 Raeford Rd, Fayetteville, NC 28304 (910) 483-5395 https://www.fdstech.com
# how to calculate standard error in statistics Hope Mills, North Carolina
So in this random distribution I made my standard deviation was 9.3. That's all it is. If people are interested in managing an existing finite population th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1170 | # Triple Integral Calculator
A calculator for triple integrals is presented.
## Triple Integral
Double integral of the form $\displaystyle \int_{z_1}^{z_2} \int_{y_1}^{y_2} \int_{x_1}^{x_2} f(x,y,z) dx dy dz$
are calculated using the calculator below. The limits of integration may be real numbers or letters such a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1171 | # What are the maximum spring lengths of a double spring pendulum?
NOT a duplicate of Maximum length stretch of vertical spring with a mass?, I am asking about a system with two connected springs, as shown in this diagram
For a single spring, you can simply equate the forces in the vertical direction, i.e. $$d_{\text... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1173 | # 2.3: Two-Level Systems
Let’s use the time-propagator in a model calculation that we will refer to often. It is common to reduce or map quantum problems onto a two level system (2LS). We will pick the most important states for our problem and find strategies for discarding or simplifying the influence of the remaini... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1174 | Chapter 13.4, Problem 28E
### Algebra and Trigonometry (MindTap ...
4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Chapter
Section
### Algebra and Trigonometry (MindTap ...
4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
# Interest Rate A man purchases a $2000 diamond ring for ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1175 | The Annals of Statistics
On the Limiting Distribution of and Critical Values for the Multivariate Cramer-Von Mises Statistic
Abstract
Let $Y_1, Y_2, \cdots, Y_n (n = 1, 2, \cdots)$ be independent random variables (r.v.'s) uniformly distributed over the $d$-dimensional unit cube, and let $\alpha_n(\cdot)$ be the empi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1176 | # For the series LCR circuit what is resonance frequency and amplitude.
$(a)\;2500\;rad\;s^{-1}\;and\; 5 \sqrt 2 A \\ (b)\;2500\;rad\;s^{-1}\;and\; 5 \; A \\(c)\;2500\;rad\;s^{-1}\;and \frac{5}{\sqrt 2}\; A \\(d)\;25 \;rad\;s^{-1}\;and\; 5 \sqrt 2 A$
Resonance frequency $w= \large\frac{1}{\sqrt {LC}}$
$\qquad= \large... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1177 | # Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview
Substantial progress has been made recently on developing provably accurate and efficient algorithms for low-rank matrix factorization via nonconvex optimization. While conventional wisdom often takes a dim view of nonconvex optimization algorit... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1180 | $\require{\cancel}$ $\require{\stix[upint]}$
### MATHEMATICS 9709
#### Cambridge International AS and A Level
Name of student Date Adm. number Year/grade Stream Subject Pure Mathematics 1 (P1) Variant(s) P11, P12, P13 Start time Duration Stop time
Qtn No. 1 2 3 4 5 6 7 8 9 10 11 12 Total
Marks 4 4 7 7 7 5 10 6 8 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1181 | # Predicate Logic
• November 5th 2010, 02:32 AM
WannaBe
Predicate Logic
Let L be a language which has two action constants:
$f_1$ which has "4 spots" and $f_2$ which has 10 spots.
A. Define by recoursion the numbers of commas in a noun of L.
B. Prove by using induction on the construction of a noun, that in every noun... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1183 | ## Topological Methods in Nonlinear Analysis
### Global existence, asymptotic behavior and blow-up of solutions for a viscoelastic equation with strong damping and nonlinear source
Wenjun Liu
#### Abstract
This paper deals with the initial-boundary value problem for the viscoelastic equation with strong damping and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1172 | ## Linear Systems
Ok, so last time, we discussed divisors. We’re going to keep going in that direction now, and now we’re going to talk about linear systems of divisors. Whenever we talk about linear systems, we’ll assume that our variety $X$ is nonsingular, so we can even talk about Weil divisors with no problem, tho... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1179 | # Let omega=x dx+y dy+z dz be a 1-form
1. Apr 1, 2005
### carbis
Here an excercise I found between old exams:
Let omega=x dx+y dy+z dz be a 1-form on R^3 and X=(x,y,z) a vectorfield.
Compute L_X(omega) as derivative of the pullback of omega under the flow generated by X.
I think the flow generated by X is (e^t,e^t,e... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1182 | Home > Standard Error > Standard Error Beta 1 Hat
Standard Error Beta 1 Hat
Contents
Dividing the coefficient by its standard error calculates a t-value. The function S(b) is quadratic in b with positive-definite Hessian, and therefore this function possesses a unique global minimum at b = β ^ {\displaystyle b={\hat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1178 | # In PE
In PE, students play a game where they do different exercises depending on the color of marble that Coach Forbes draws. Coach Forbes has a jar with 6 red marbles, 12 blue marbles, 16 purple marbles, 2 green marbles, and 4 yellow marbles. What is the probability of drawing a red marble?
p = 0.15
### Step-by-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7488 | # Bzoj 1619 [Usaco2008 Nov]Guarding the Farm 保卫牧场
## Description
The farm has many hills upon which Farmer John would like to place guards to ensure the safety of his valuable milk-cows. He wonders how many guards he will need if he wishes to put one on top of each hill. He has a map supplied as a matrix of integers;... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7489 | # Linear recurrence solution to Diophantine equation
I have a Diophantine equation of the form: $$ax^2 + bx + c = y^2, \quad x, y \in \mathbb{Z^+}$$ Is it true that there will always be a linear recurrence formula that generates all the solutions for $x$, of the form: $$x_n = \alpha_1x_{n-1} + \alpha_2x_{n-2} + \alpha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7490 | # 10.1: Introduction to Alkenes
Objective
After completing this section, you should be able to give an example of a naturally occurring compound that contains at least one double bond.
##### Key Terms
Make certain that you can define, and use in context, the key term below.
• olefin
##### Study Notes
Alkenes are... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7492 | # An inverse approach to the center problem
Jaume Llibre, Rafael Ramírez, Valentín Ramírez
Research output: Contribution to journalArticleResearch
3 Citations (Scopus)
## Abstract
© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. We consider analytic or polynomial vector fields of the form X=(-y+X)∂∂... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7493 | # Kerodon
$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
Definition 1.1.5.1. A directed graph $G$ consists of the following data:
• A set $\operatorname{Vert}(G)$, whose elements we refer to as vertices of $G$.
• A set $\operatorname{Edge}(G)$, whose elements we refer to as edges of $G$.
• A pair ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7494 | # Variance of a weighted population
1. Mar 29, 2012
### rogo0034
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
Was able to get the population mean of 5.3 with 4*.2 + 5*.4 + 6*.3 + 7*.1
But for some reason i'm drawing blank for the variance (which i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7496 | # Find the simplest form of:
Question:
Find the simplest form of:
(i) $\frac{69}{92}$
(ii) $\frac{473}{645}$
(iii) $\frac{1095}{1168}$
(iv) $\frac{368}{496}$
Solution:
(i) Prime factorisation of 69 and 92 is:
69 = 3 × 23
$92=2^{2} \times 23$
Therefore, $\frac{69}{92}=\frac{3 \times 23}{2^{2} \times 23}=\frac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7497 | 1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
Consider the following two statements :
P : If 7 is an odd number, then 7 is divisible by 2.
Q : If 7 is a prime number, then 7 is an odd number
If V1 is the truth value of the contrapositive of P and V2 is the truth value of contrapositive of Q, then the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7498 | # I think I found the highest known prime number.
#### Avahlanch
##### New member
I think I found the highest known prime number. What should I do about this? I've seen on the internet that you could get money?
Last edited by a moderator:
#### Subhotosh Khan
##### Super Moderator
Staff member
The same place should... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7499 | RS Aggarwal Solutions Class 9 Ex 13C
RS Aggarwal Class 9 Ex 13C Chapter 13
Q.1: Find the volume and surface area of a sphere whose radius is (i) 3.5 cm (ii) 4.2 cm (iii) 5 m
Solution:
(i) Radius of sphere = 3.5 cm
∴ Volume of the sphere = 43πr3$\frac{4}{3} \pi r^{3}$ = 43×227×3.5×3.5×3.5$\frac{4}{3} \times \frac{2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7500 | # Confusion about Spherical Coordinates Transformation
We have a function $$f(x,y,z) = \frac{e^{-x^2 -y^2 -z^2}}{\sqrt{x^2+y^2+z^2}}$$ and we want to integrate it over the whole $\mathbb{R}^3$. Then what i got is the following: $$\int_{\mathbb{R}^3}^ \! \frac{e^{-x^2 -y^2 -z^2}}{\sqrt{x^2+y^2+z^2}} \, \mathrm{d}x\math... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7503 | <ph f="cmex"> </ph><ph f="cmbx">Bernoulli numbers and solitons</ph>
### A.P. Veselov
Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK E-mail address : M.Grosset@lboro.ac.uk Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershir... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7491 | # Skolemization with multiple arguments — how to unify
Edit: answerers keep finding (valid!) problems with my example. I'll try again. The older version is below the horizontal line. Thanks to Klaus below for pointing out the last problem.
My question is how to unify skolemizations that have differing numbers of argu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7495 | # Lie Group Isomorphisms
I'm not sure of the difficulty of the question I'm about to ask. If it does not fit the criteria for this site then I apologize in advance, I'm rather new here.
So here it goes: Let $G$ be a Lie group and $Mod(G)$ be the mapping class group of the underlying manifold (by mapping class group I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7502 | ## Search
### Seminar View
FIELD Mathematics February 18 (Tue), 2020 16:30-18:00 1423 Yoshihiko Matsumoto Miura, Makoto CR structures, ACH-Einstein fillings, and almost complex structures I will discuss two problems on asymptotically complex hyperbolic spaces (ACH spaces): Given a domain whose boundary is equipped wi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7501 | # Stupid differential algebra problem
1. Mar 2, 2008
### Sojourner01
1. The problem statement, all variables and given/known data
For the life of me, I can't decide whether the method below is correct and it's making me feel really stupid.
2. Relevant equations
Simple matter of an algebraic identity. Is:
$$\frac... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_64 | # Equation for a line through a plane in homogeneous coordinates.
For calculations in 2D space, there exist a few useful equations to compute general geometry with the vector dot product . and the vector cross product x when working with homogeneous coordinates (remember even though we are working in 2D space the homo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_65 | # Math Help - find a vector b such that Ax = b has no solution
1. ## find a vector b such that Ax = b has no solution
A=
[1 1 2 3]
[1 2 1 1]
[2 3 3 4]
find a vector b such that Ax = b has no solution. Explain why.
2. Originally Posted by dusty
A=
[1 1 2 3]
[1 2 1 1]
[2 3 3 4]
find a vector b such that Ax = b has no ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_67 | # [Question] Can you define “utility” in utilitarianism without using words for specific human emotions?
I’m trying to get a slightly better grasp of utilitarianism as it is understood in rat/EA circles, and here’s my biggest confusion at the moment.
How do you actually define “utility”, not in the sense of how to c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_69 | # All Questions
75 views
219 views
### Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$ for some $q\in \mathbb{Z}$. Any ideas on how to start? Do I use a proof by contraposition? Also what's the definition of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_71 | ## Intermediate Algebra (12th Edition)
$x^{3}-3x^{2}-9x+27$
We are given that $f(x)=x^{2}-9$, $g(x)=2x$, and $h(x)=x-3$. We know that $(fh)(x)=f(x)\times h(x)$. Therefore, $(fg)(x)=(x^{2}-9)\times(x-3)$. We can use the FOIL method to further simplify this function. First terms: $x^{2}\times x=x^{2+1}=x^{3}$ Outer term... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_72 | 1. limsup and liminf
I have to find the limit superior and the limit inferior of these sequences:
a)
n + [(-1)^n](2n+1)
---------------- It appears limsup = 3 and liminf = -1.
n
b)
(an)^(1/n) where an = 1/(2^[(n+1)/2]) if n is odd and 1/(3^(n/2)) if n is even. What are the limsup and liminf of these? They seem less ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_73 | Definitions specific to this category can be found in Definitions/Harshad Numbers.
A harshad number is a positive integer which is divisible by the sum of its digits base $10$.
Hence a harshad number is a Niven number base $10$.
## Subcategories
This category has only the following subcategory.
## Pages in categor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_74 | ## College Algebra (6th Edition)
$x=3$
Because we are told that $y_{1}=y_{2}$, we may set the two equations equal to one another and solve: $7(3x-2)+5=6(2x-1)+24$ $21x-14+5=12x-6+24$ $21x-9=12x+18$ $21x-12x=18+9$ $9x=27$ $x=3$ The two equations describe a pair of intersecting lines, so there is only one solution. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_75 | # Does there exist a function $f:[0,1] \to[0,1]$ such its graph is dense in $[0,1]\times[0,1]$?
Does there exist a function $f:[0,1]\to [0,1]$ such that the graph of $f$ is dense in $[0,1]\times[0,1]$?
Not necessarily continuous.
-
The image is a subset of [0,1]. Then you want it to be dense in [0,1]. – alpha.Debi M... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_76 | ### Home > INT3 > Chapter 10 > Lesson 10.2.2 > Problem10-131
10-131.
What fraction is equivalent to the repeating decimal $0.\overline{27}$?
$100n = 27.\overline{27}$
$- n = 0.\overline{27}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_77 | # How do you write 99% as a fraction?
$\frac{99}{100}$
Thus, we express it in fraction as $\frac{99}{100}$
Furthermore, as there are no common factors between 99 and 100, the fraction cannot be simplified anymore, and we leave it as $\frac{99}{100}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_78 | # What is the difference between p(a,b) and p(a|b)?
I feel that
p(a,b) = the probability of event a and b happen in the same time.
p(a|b) = the probability of event a happens due to the event b happens.
For me, I think the meaning is quite the same. So what is the difference?
-
I'm going to rephrase a little bit:... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_79 | # Does undefined always mean infinity?
• B
Gold Member
2020 Award
While using L' Hospital's rule in evaluating limits, one comes across limits of the following type: $$\lim_{x \to 0} x \ln x$$ Such limits are generally evaluated by taking ##x## to the denominator and make it ##x^{-1}##. In such a case, an indeterminat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_68 | # Numeric quadrature vs summation of running costs in model predictive control
Usually, an MPC consists of discretizing the optimal control problem in time using some numerical quadrature scheme. So the infinite-dimensional OCP reads \begin{aligned}J(\vec{u}) &= \varphi\left(\vec{x}(t_i+t_{hor})\right) + \int_{t_i}^{t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_66 | Measure
# area_under_roc_curve
The area under the ROC curve (AUROC), calculated using the Mann-Whitney U-test. The curve is constructed by shifting the threshold for a positive prediction from 0 to 1, yielding a series of true positive rates (TPR) and false positive rates (FPR), from which a step-wise ROC curve can b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_70 | # Gram matrix invertible iff set of vectors linearly independent
Given a set of vectors $v_1 \cdots v_n$, the $n\times n$ Gram matrix $G$ is defined as $G_{i,j}=v_i \cdot v_j$
Due to symmetry in the dot product, $G$ is Hermitian.
I'm trying to remember why $|G|=0$ iff the set of vectors are not linearly independent.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14544 | # Determining the Moment of inertia
Let $a,b,c$ be positive real numbers such that $c<a$. Suppose given is a thin plate $R$ in the plane bounded by $$\frac{x}{a}+\frac{y}{b}=1, \frac{x}{c}+\frac{y}{b}=1, y=0$$ and such that the density of a point $(x,y) \in R$ is given by $\delta(x,y)=x$. Compute the mass of $R$
I fo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14545 | # Math Help - negative radical simplify
i feel stupid asking this im probably overthinking it..but i cant get the answer wrong so ill ask anyway..
$\sqrt{-4}*\sqrt{-49}$
if i go $\sqrt{-49*-4}=\sqrt{196}=14$
however i can also go(i think) $2i*7i=14i^2=14*-1=-14$
so is the answer $\pm 14$? or is it one or the other... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14546 | nuccioreggie one year ago Choose the best description for the real number square root of 35. Irrational, because it is not a terminating or repeating decimal Irrational, because it is a repeating decimal Rational, because it is not a terminating or repeating decimal Rational, because it is a repeating decimal
1. nucci... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14547 | # Derivatives in Euler-Lagrange for fields
Starting with the lagrangian density $$L=\frac{1}{2}((\partial_\lambda\phi)(\partial^\lambda \phi) + \mu^2\phi^2),$$ Chen and Li yield the Klein Gordon equation $$(\partial_\lambda \partial^\lambda + \mu^2)\phi=0$$ using Euler-Lagrange formalism.
Looking at the first term, w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14548 | ## Sample Test Problems
1. The absolute square of a wave function for a free particle is given as:
Find the expected value of as a function of time. Find the expected value of as a function of time. Compute the RMS x-width of this wave packet as a function of time.
2. Find the commutator where is a constant and the s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14549 | # utilization of bitmap protocol
I am curious about utilization calculation in the bitmap protocol. especially if there's a difference between if only station 0 wants to broadcast(and the others doesn't) or only some other station want to broadcast(but the others doesn't)
an example of a problem regarding this: in a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14550 | #StackBounty: #distributions #logistic #normal-distribution #pdf #model Relationship between a logistic decision function and Gaussian …
Bounty: 50
Imagine an experiment, in which an observer has to discriminate between two stimulus categories at different contrast levels $$|x|$$. As $$|x|$$ becomes lower, the observ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14551 | Share
# In Each of the Following Find the Value of 'K', for Which the Points Are Collinear. (7, -2), (5, 1), (3, -k) - CBSE Class 10 - Mathematics
#### Question
In each of the following find the value of 'k', for which the points are collinear.
(7, -2), (5, 1), (3, -k
#### Solution
For collinear points, area of t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14552 | # Lesson 8
Relate Quotients to Familiar Products
## Warm-up: Number Talk: Multiplication and Division (10 minutes)
### Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for multiplying and dividing within 100. These understandings help students develop fluency and id... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14553 | # Substitution in functional equation
When solving functional equations it can be helpful to substitute another function, say, g(x) rather than x to the original functional equation h(x). Under what condition is this a permissible substitution that leaves the original solution intact? Is bijectivity sufficient and if ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14554 | # Applying velocity Verlet algorithm
I want to implement a simple particules system using the velocity form of the Verlet algorithm as integrator.
Initial conditions at $t=0$ for a given particule $p$:
• mass: $m$
• position: $\overrightarrow x(t=0) = \overrightarrow x_0$
• velocity: $\overrightarrow v(t=0) = \overr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14555 | # How to show that the limit of a function does not exist, while $\limsup$ and $\liminf$ do?
It does seem like a very simple question, but I don't see how to do it properly.
How can we show that the limit of
# $$3^{\lfloor\frac{-\log(j)}{\log(2)}\rfloor}j^{\frac{\log(3)}{\log(2)}}$$
as $j\rightarrow\infty$does not ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14556 | # Solving this linear programming takes forever… is there a more efficient way to solve it?
I'm supposed to solve the following LP:
$(P_2) \text{ } \text{max}\left\{ 33x_1+13x_2+18x_3 \mid \begin{matrix} 8x_1+3x_2+4x_3 \leq 32\\ 12x_1+5x_2+7x_3 \leq 51\\ 5x_1+2x_2+3x_3 \leq 21\\ x_1+x_2+x_3 \geq 3 \end{matrix} \right... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14557 | Proof. Let $R \to S$ be an étale ring map. By definition $R \to S$ is of finite type. For any prime $\mathfrak p \subset R$ the fibre ring $S \otimes _ R \kappa (\mathfrak p)$ is étale over $\kappa (\mathfrak p)$ and hence a finite products of fields finite separable over $\kappa (\mathfrak p)$, in particular finite ov... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14559 | PDA
View Full Version : SAT probability question
Nyla
08-18-2013, 11:56 AM
SAT math probability
How can we find the answer to the following SAT math question:
"Four fair coins are tossed. Find the probability that all of them will come up tails ?"
Thanks!
miranda
08-18-2013, 12:16 PM
"Four fair coins are tossed. F... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14558 | # American Institute of Mathematical Sciences
June 2019, 12(3): 567-590. doi: 10.3934/dcdss.2019037
## High-order solvers for space-fractional differential equations with Riesz derivative
Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2560 | # Recurrent sequences and Bernoulli-like numbers
Consider the Fibonacci polynomials defined by $$F_n(s)=F_{n-1}(s)+sF_{n-2}(s)$$ with initial values $F_0(s)=0$ and $F_1(s)=1$ and define a linear functional $L$ on the polynomials in $s$ by $$L(F_{2n})=\delta_{n,1}.$$ Then $$L(F_{2n+1})=(2n+1)B_n,$$ where $B_n$ are the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2561 | # Mary Ellen Rudin
### Quick Info
Born
7 December 1924
Hillsboro, Texas, USA
Died
18 March 2013
Summary
Mary Ellen Rudin was an American mathematician known for herwork in general topology.
### Biography
Mary Ellen Rudin's name before she married was Mary Ellen Estill. Her parents were Joe Jefferson Estill, who wa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2562 | # Isolated zero set of real polynomial in two variables
The polynomial $x^2+y^2$ has an isolated zero at the origin. And so do powers $(x^2+y^2)^n$ of this polynomial. I'm wondering if this is a special property of these real polynomials.
Here's the precise question. Suppose a real polynomial $f(x,y)$ is not divisibl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2563 | # Tag Info
11
First, you need more than just a signature, because a VRF produces both an output and a proof. To an observer, the output is uniformly distributed unless the observer also has the proof, which can be used to verify the output. With a signature scheme and a random oracle $H$, you could use a signature $s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2564 | Review question
# Can we reflect this point in this line? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R6230
## Solution
What is the reflection of the point $(3,4)$ in the line $3x + 4y = 50$?
1. $(9,12)$,
2. $(6,8)$,
3. $(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2565 | # Homework Help: Laplace transform of phase-shifted sinusoid
1. Aug 29, 2010
### KingNothing
1. The problem statement, all variables and given/known data
Find the laplace transform of [TEX]f(t)=sin(4t+\frac{\pi}{3})u(t)[/TEX].
http://img822.imageshack.us/img822/6996/codecogseqna.gif [Broken]
2. Relevant equations
D... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2568 | # Try to Solve Without Graphing
Algebra Level 4
Given the domain [-10, 10], determine how many values of x (x values are integers) yield a square for the result of the equation: $2x^{3}+3x^{2}$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2569 | # $\lim \limits_{x \to e} (1-\log x)\log (x-e)$ without l'hopital's rule
$\lim \limits_{x \to e}\space\space(1-\log x)\log (x-e)$
How can is it possible to eliminate indeterminate without using L'Hospital's Rule ? I tried to manipulate this formula but still the same problem.
• We need $x>e,$ Set $y=x/e$ $$\lim_{y\t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2571 | # Problem #1970
1970 Cozy the Cat and Dash the Dog are going up a staircase with a certain number of steps. However, instead of walking up the steps one at a time, both Cozy and Dash jump. Cozy goes two steps up with each jump (though if necessary, he will just jump the last step). Dash goes five steps up with each j... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2573 | ## Journal of Applied Mathematics
### Discussion for $H$-Matrices and It’s Application
#### Abstract
Nonsingular $H$-matrices and positive stable matrices play an important role in the stability of neural network system. In this paper, some criteria for nonsingular $H$-matrices are obtained by the theory of diagonal... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2574 | # Measurable function
Last updated
In mathematics and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable. This is in direct analogy to the definition that a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2575 | # AM-HM Concept : Time Speed and Distance
## AM-HM Concept:
The AM-HM concept states that if the speeds are in arithmetic progression/ harmonic progression then, the corresponding time taken are in harmonic progression /arithmetic progression and vice versa.
Note: We use this AM-HM concept only when the same distanc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2567 | # Proof of $S \subset \mathbb{R}$, $\inf(S)\leq \sup(S)$
Prove that for any nonempty set $S \subset \mathbb{R}$, $\inf(S)\leq \sup(S)$ and give necessary and sufficient conditions for equality.
This is what I have so far but I think I am on the wrong track:
Since set S is contained in R, we have four options: $$S=(a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2570 | 2H3O+ + CO3^2-}$$And in the end, become useless.$$Cs = \ce{[CaCO3]} = \ce{[H2CO3] + [HCO3-] + [CO3^2-]}$$, Where Cs here stands for the known concentration of the salt, calcium carbonate. I need only to see the dividing line I've found, around pH 8.6. Let's explain why: Bicarbonate and carbonate ions combined with calc... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2572 | # Marcus Hutter
Marcus Hutter
Born 1967
Website
http://www.hutter1.net
Marcus Hutter (born 1967) is a German computer scientist and professor at the Australian National University. Hutter was born and educated in Munich, where he studied physics and computer science at the Technical University of Munich. In 2000 he j... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2566 | # Math Help - Trig triangle problem
1. ## Trig triangle problem
This should be an easy problem but I don't know what they are trying to convey.
A sign 46 feet high is placed on top of an office building. From a point on the sidewalk level with the base of the building, the angle of elevation to the top of the sign a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18208 | # Cardinality of two infinite sets and strictly bigger than relation
Suppose $A$ and $B$ are two infinite sets and cardinality of $B$ is strictly greater than cardinality of $A$.
To prove this strictly gretater than relation between two sets, is it sufficient to only show that there exists no surjective function from... |
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