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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6019 | # Volumes by Slicing: Disks and Washers
## Presentation on theme: "Volumes by Slicing: Disks and Washers"— Presentation transcript:
Volumes by Slicing: Disks and Washers
Objective: To find the volume of figures using the method of disks/washers.
Volume Recall that the underlying principle for finding the area of a p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6020 | # What is the speed of the missile, relative to ship B?
Two spaceships, named A and B, are flying toward each other with relative speed .80c .
The captain of ship B knows that ship A uses 2-m-long missiles. She measures the length of the first missile, once it has finished accelerating, and finds it to be only 0.872m ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6022 | ### Home > CC1MN > Chapter 5 Unit 5B > Lesson CC1: 5.1.2 > Problem5-17
5-17.
Convert each mixed number to a fraction greater than one, or each fraction greater than one to a mixed number.
1. $5 \frac { 3 } { 11 }$
$5\frac{3}{11}=\frac{11}{11}+\frac{11}{11}+\frac{11}{11}+\frac{11}{11}+\frac{11}{11}+\frac{3}{11}$
1.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6024 | a To continue the example above, the x-coordinate of the vertex would be -8/4, or -2. ) How to find a parabola's equation using its Vertex Form Given the graph of a parabola for which we're given, or can clearly see: . − -coordinate of the vertex. ”-shape. ) The $$y$$-intercept is the point where the parabola intersect... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6025 | ## Thinking Mathematically (6th Edition)
$\frac{4}{35}$
If A and B are dependent events, then P(A and B) = P(A)*P(B given that A has occurred) E: An Independent and then a Republican. A: Independent B: A Republican given that an Independent is first selected. P(A) = $\frac{4}{15}$ P(B) =$\frac{6}{14}$ P(E) = $\frac{4}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6026 | # Complex Numbers in Maths
Complex numbers are the numbers which are expressed in the form of a+ib where i is an imaginary number called iota and has the value of (√-1). For example, 2+3i is a complex number, where 2 is a real number and 3i is an imaginary number. Therefore, the combination of both the real number and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6027 | Home > PC > Chapter 2 > Lesson 2.3.5 > Problem2-132
2-132.
1. You are trying to find the area A(f, 1 ≤ x ≤ 2) for f(x) = −x2 + 6. Homework Help ✎
1. Use 4 rectangles to find the upper and lower bounds of the area.
2. Express the sum of the lower bound using sigma notation.
Upper Bound means that the rectangles will... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6028 | # Explore absolute and conditional convergence of integral $\int_{1}^{+\infty} \frac{\sin \sqrt[3] x}{x-\ln x}\, dx$
Explore absolute and conditional convergence of the integral $$\int_{1}^{+\infty} \frac{\sin \sqrt[3] x}{x-\ln x}\, dx$$ My general ideas are the following:
• for absolute convergence I should use comp... |
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# 7.7: Linear Programming
Difficulty Level: Basic Created by... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6030 | • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6031 | # Taking things series-ly
Consider a recurrence relation with $$a_{i+1} = a_i ^5 + 1$$ and initial term $$a_1 = 0$$. What is the last digit of $$a_{12}$$?
×
Problem Loading...
Note Loading...
Set Loading... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6021 | # Damping ratio
Underdamped spring–mass system with ζ<1
In engineering, the damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium. A mass suspended from a s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_6023 | # Cyclic homology
In noncommutative geometry and related branches of mathematics, cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras which generalize the de Rham (co)homology of manifolds. These notions were independently introduced by Boris Tsygan (homology)[1] and Alain ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4385 | # Series of Primes
Erdos noticed that $$\sum(-1)^n\frac{n\log n}{p_n}$$ diverges, where pn is the nth prime. I can't prove this conclusively. All I can say is that PNT implies that p_n~nlogn and thus the series "resembles" $$\sum(-1)^n$$.
Related Linear and Abstract Algebra News on Phys.org
Hurkyl
Staff Emeritus |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4386 | # 旋量
## 歷史
1927年，沃爾夫岡·包立將旋量應用至數學物理，當時他引入了自旋矩陣[5]隔年，保羅·狄拉克發現了相對論性的電子自旋理論，其中展示了旋量與勞侖茲群的關連。[6]於1930年代，狄拉克、皮亞特·海恩以及玻爾研究所的其他研究者建立了之類的玩具，作為旋量的教學以及旋量微積分的模型。
## 參考文獻
1. ^
2. ^ Quote from Elie Cartan: The Theory of Spinors, Hermann, Paris, 1966, first sentence of the Introduction section of the beginning of the book (before... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4388 | # Doubling time
The doubling time (also called the generation time) is the period of time required for a quantity to double in size or value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest, the volume of malignant tumours, and many other things which tend to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4389 | Thesis
Development of the Quantum Lattice Boltzmann method for simulation of quantum electrodynamics with applications to graphene
Abstract:
We investigate the simulations of the the Schrödinger equation using the onedimensional quantum lattice Boltzmann (QLB) scheme and the irregular behaviour of solution. We isola... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4390 | # limsup and liminf
• Apr 4th 2013, 05:35 AM
rokman54
limsup and liminf
I have a question on the definition of limsup and liminf.
First let $A_k = [a_n | n \geq k}$ with $A_k \subset A_{k-1} \subset ... \subset A_1$
s_n = SupA_n, l_n = Inf A_n
$s_1 \geq s_2 ... \geq s_n, l_1 \leq l_2 ... \leq l_n$
$limsup a_n = li... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4391 | # Solving a exponential/log equation
I was looking for inspirations for solving the below equation for x $$-e^x \ln \left( \frac{(e^x -2 \alpha)(1+\alpha)}{1-\alpha} \right) + xe^x +2\alpha e^x - 4 \alpha^2 - 2\alpha = 0$$ where $0<\alpha<1$.
Is is analytically possible at all?
Many thanks.
• no. almost certainly n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4392 | Need help with vector space multiple choice
1. Jan 21, 2010
neilpeart0408
Determine whether the given set S is a subspace of the vector space V.
A. V=P5, and S is the subset of P5 consisting of those polynomials satisfying p(1)>p(0).
B. V is the vector space of all real-valued functions defined on the interval [a,b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4393 | Language: Search: Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.
Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1128.93035
Luo, Qiang; Yang, Wenqiang; Yi, Dongyun
Kernel shapes of f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4394 | # The influence of an increase in ATM's on the demand for central bank money
This is a question posed in Blanchard's book on Macroeconomics.
The question is simple. Consider an economy with a central bank (CB) and private banks. The demand for CB money is then determined by both the demand for currency $$CU^d = cM^d$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4395 | Tài liệu
# Appendix A: Review Exercises (Ch 3-13)
Mathematics and Statistics
These review exercises are designed to provide extra practice on concepts learned before a particular chapter. For example, the review exercises for Chapter 3, cover material learned in chapters 1 and 2.
# Chapter 3
Use the following info... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4397 | # Types¶
Terms provide a generic, untyped format to represent tree-structured data. Stratego transformations can transform such data, but require at least that the arities of term constructors that are used in rules are declared.
Starting with Stratego 2, the types of terms and term transformations may be declared an... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4399 | # Find the area of the shaded region in the figure given below.
Question:
Find the area of the shaded region in the figure given below.
Solution:
In right angled ∆ABD,
$A B^{2}=A D^{2}+D B^{2}$ (Pythagoras Theorem)
$\Rightarrow A B^{2}=12^{2}+16^{2}$
$\Rightarrow A B^{2}=144+256$
$\Rightarrow A B^{2}=400$
$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4384 | # $\cos{(18^\circ)}$ value
$\cos{(18^\circ)}$ $\,=\,$ $\dfrac{\sqrt{10+2\sqrt{5}}}{4}$
The value of cosine in an eighteen degrees right triangle is called the cosine of angle eighteen degrees.
## Introduction
The cosine of angle eighteen degrees is a value that represents the ratio of length of adjacent side to len... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4396 | #### Volume 19, issue 3 (2019)
Recent Issues
Author Index
The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 To Appear Other MSP Journals
Uniform exponential gr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4398 | The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2000 \pi t$. The value of the modulation index is _________ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13824 | Morrey Spaces Associated to the Sections and Singular Integrals
Received:August 07, 2016 Revised:February 27, 2017
Key Word: Morrey space Campanato space Monge-Amp\ere singular integral
Fund ProjectL:Supported by Young Foundation of Education Department of Hubei Province (Grant No.Q20162504).
Author Name Affiliat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13825 | STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS
Title & Authors
STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS
Koh, Heejeong;
Abstract
We will show the general solution of the functional equation \begin{eqnarray}f(x+ay)+f(x-ay)+2(a^2-1)f(x)\\
Keywords
Hyers-Ulam-Rassias stability;quartic mapping;set-valued... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13827 | # nLab partial recursive function
Contents
### Context
#### Constructivism, Realizability, Computability
intuitionistic mathematics
foundations
# Contents
## Idea
A partial recursive function (often “computable function”, but see there for disambiguation) is a partial function of natural numbers which can be de... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13828 | # zbMATH — the first resource for mathematics
Reasonable properties for the ordering of fuzzy quantities. I. (English) Zbl 0971.03054
In the literature more than 35 tentatives of solving the problem of ordering fuzzy quantities are presented. They can be classified into three categories: using the defuzzification indi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13829 | Completely Inelastic Collision
1. Feb 21, 2008
hateAleen
After a completely inelastic collision, two objects of the same mass and same initial speed are found to move away together at 1/3 their initial speed. Find the angle between the initial velocities of the objects.
I think that this question is dealing with co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13830 | Main Classical Electrodynamics
# Classical Electrodynamics
Year: 1975
Edition: 2nd
Language: english
Pages: 874
ISBN: 0-471-43132-X
File: PDF, 15.98 MB
## You may be interested in
### Classical Electrodynamics
Year: 1999
Language: english
File: PDF, 56.37 MB
You can write a book review and share your experiences.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13831 | # Finitely additive translation invariant measure on $\mathcal P(\mathbb R)$
We know that a countably additive translation invariant measure with $\mu([0,1]) = 1$ cannot be defined on the power set of $\mathbb R$. This is because $[0,1]$ can be partitioned into countably many congruent sets, with the help of the axiom... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13833 | Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
# How do you find the end behavior of a quadratic function?
Quadratic functions have graphs called parabolas.
The first graph of y = x^2 has both "ends" of the graph pointing upward. You would d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13835 | ArticlePDF Available
# Relativistic plasma optics enabled by near-critical density nanostructured material
Authors:
## Abstract and Figures
The nonlinear optical properties of a plasma due to the relativistic electron motion in an intense laser field are of fundamental importance for current research and the genera... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13836 | # Hard trig proof
I have to prove this:
$$\frac{sec^{2}A}{1-tan^{2}A}\equivsec2A$$
I have got it down to this:
$$\frac{1+\frac{sin^{2}A}{cos^{2}A}}{1-\frac{sin^{2}A}{cos^{2}A}}$$
and the book says it can be then further equated to
$$\frac{cos^{2}A+sin^{2}A}{cos^{2}A-sin^{2}A}$$
but i cant see how that is done :(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13837 | # Pantas’ Cabinet of Mathematical Wonders: Images and the History of Mathematics
Author(s):
Frank J. Swetz (The Pennsylvania State University)
### Overview
Images of historical instruments for measuring and computing, of people who contributed to mathematics, and of written mathematical works from the past, such as ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13838 | Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!
## a)percent $(\mathrm{Cl})=34,25$ percentb)percent $(\mathrm{N})=36,86$ percent
#### Topics
Chemical reactions and Stoichiometry
### Discussion
You must be signed in to discuss.
### Video Transcript
we have defined the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13839 | # Morera’s theorem
Morera’s theorem provides the converse of Cauchy’s integral theorem.
Theorem [1] Suppose $G$ is a region in $\mathbb{C}$, and $f:G\to\mathbb{C}$ is a continuous function. If for every closed triangle $\Delta$ in $G$, we have
$\int_{\partial\Delta}f\,dz=0,$
then $f$ is analytic on $G$. (Here, $\p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13826 | ## Discussion Forum
### Daily Magic Spell Discussion - February 10, 2017
Daily Magic Spell Discussion - February 10, 2017
For today's discussion, we will look at one of the more recent Daily Magic Spell.
Problem Statement:
Suppose you have an $8$-digit number. How many such numbers have the sum of their digits bei... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13832 | # Talk:Propagation of uncertainty
WikiProject Statistics (Rated C-class, High-importance)
This article is within the scope of the WikiProject Statistics, a collaborative effort to improve the coverage of statistics on Wikipedia. If you would like to participate, please visit the project page or join the discussion.
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15216 | # Implicit Differentiation
Printable View
• March 25th 2008, 07:12 PM
lyzzi3
Implicit Differentiation
I think my teacher was talking about turning y into y(x) or something but I'm just completely lost on this one
• March 25th 2008, 07:23 PM
TheEmptySet
$5x^2+4x+xy=2$ using implicit we get
$10x+4+y+xy'=0$
$y(2)=-13$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15217 | Determine the particular solution to the equation 2\frac{dv(t)}{dt} + v(t) = 5t\sin(t)
Question:
Determine the particular solution to the equation {eq}2\frac{dv(t)}{dt} + v(t) = 5t\sin(t) {/eq}
Particular Solution:
Given a Linear constant coefficient differential equation with a forcing function in RHS we choose pa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15218 | ### Absolute Value Word Problems 7th Grade Pdf
Therefore, when we solve absolute value problems, we must consider two cases: the number was positive or the number was negative Example. included as part of a student's overall math grade. of a rational number as its distance from 0 on the number line • Interpret. Many o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15219 | # Math Help - Addition Formula Question
Hi there,
I have a problem involving a right angled triangle ABC. It is right angled at C.
The hypoteneuse has a value of 13 units.
A line stretches across the triangle from B to side AC at D. Side AC is divided into AD and DC. DC has the value 4 units.
Angle ABD equals x degree... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15220 | # Difference between integral(csc(x)) and integral(1/sin(x))?
integral(csc(x),x) gives -log(cot(x) + csc(x)) as expected. integral(1/sin(x),x) gives -1/2log(cos(x) + 1) + 1/2log(cos(x) - 1). Evaluation of the second log is problematic because cos(x)-1 < 0 for all x except n*2pi. Choosing the sympy or maxima algorithms... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15221 | # A local version of the Projection Theorem
## Abstract
We prove the following theorem:
Suppose that $$1\leq m\leq n$$ are integers and $$\mu$$ is a Borel measure on $$\mathbb{R}^n$$ are such that for $$\mu$$-almost every $$x$$,
• The upper and lower $$m$$-densities of $$\mu$$ at $$x$$ are positive and finite.
• I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15222 | Intermediate Algebra
# Key Concepts
Intermediate AlgebraKey Concepts
### Key Concepts
#### 4.1Solve Systems of Linear Equations with Two Variables
• How to solve a system of linear equations by graphing.
1. Step 1. Graph the first equation.
2. Step 2. Graph the second equation on the same rectangular coordinate sy... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15224 | # Finding probability assuming null hypothesis is true
Candidates 1,2 and 3 are running for a position in a company. Candidate 1 claims 38% favourability among all the voters. Assuming this is true, what is the probability that in a random sample of 500 laborers,
1. less than 33% will vote for candidate 1?
2. more th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15225 | # angles - equation 3
Adjacent angles are supplementary (adds up to 180 degrees). Looking at the bottom left hand angle of the larger parallelogram, you see that the angle is 2a. So, you know that $4a + 2a = 180$.
Looking at the smaller paralleogram, you see that $B + a = 180$ with the same logic. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15226 | # First derivative test
We have that Let $f$ be continuous on an interval $I$ and differentiable on the interior of $I$. If $f'(x)>0$ for all $x\in I$, then $f$ is increasing on $I$. If $f'(x)<0$ for all $x\in I$, then $f$ is decreasing on $I$. If $f'(x)=0$ for all $x\in I$, then $f$ is constant on $I$.
My question i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15227 | My Math Forum Integration by Parts Help
Calculus Calculus Math Forum
September 1st, 2014, 07:39 AM #1 Newbie Joined: Sep 2014 From: Miami Posts: 18 Thanks: 2 Integration by Parts Help Hello everyone, This is my first time in this forum, but like other forums online I am sure there is an amazing community of peopl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15228 | # Non-homogeneous Equations problem 2
• Oct 22nd 2009, 02:10 PM
Phyxius117
Non-homogeneous Equations problem 2
Here is the problem:
y''-10y'+25y = -5e^(5t) / (t^2 + 1)
Find the particular solution.
I am looking at the problem and does not know how to approach it at all :(
Thank you!!
• Oct 23rd 2009, 01:04 AM
chis... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15230 | # Strobl18
Harmonic Analysis and Applications
June 4-8, 2018
Strobl, AUSTRIA
### "Weighted iterated Lp-Lq inequalities involving fractional convolution"
#### Jain, Sandhya
In this talk, we shall focus on three types of fractional convolutions. The famous Young's inequality in the context of fractional convolution... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15223 | Multiplying monomials
Here we explain how to multiply monomials. Also, you will see several examples of multiplication of monomials and exercises solved step by step. Finally, you will find the properties of the product of monomials.
How to multiply monomials
The multiplication of monomials is done as follows:
In m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15229 | # Bayesian formula for weather exercise
If it is nice weather on one day, the probability that it is going to be nice again the next is $13/15$.
If it is raining on one day, the prob. that it is going to be raining again the next day is $4/5$
Now $S_k$ is the event: "k-th day is nice" and we assume $\mathbb P(S_k)=\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13152 | # Make 24 With 7,3,7,3
You may use math signs you wish, but you must use the numbers
7,3,7,3
in an equation so it equals
24
Is it possible? If so, show how.
No-nos:
• You are not allowed to combine numbers to make bigger numbers (e.g. you can't have 73)
• You cannot use numbers more than once, you only have 2 7s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13153 | # Question about function on a lattice.
Let $X$ be a complete lattice, and $g$ a function from $X$ to $X$ s.t. $x_1\le x_2$ $\implies g(x_1)\le g(x_2)$. Show that there must be some element in $X$ that maps to itself.
Here is what I am thinking so far. We can take the set $Y=\{x\in X \ | \ x\le g(x)\}$ and from every... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13154 | Schwarz and Poisson formulas
Introduction
Fundamental boundary-value problems of potential theory, i.e. (http://planetmath.org/Ie), the so-called Dirichlet and Neumann problems occur in many of applied mathematics such as hydrodynamics, elasticity and electrodynamics. While solving the two-dimensional problem for spe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13155 | # 12. (6 marks) The first electron affinity of N, Cand Si are +7,-122 and -134 kJ/mol respectively. Explain the order
###### Question:
12. (6 marks) The first electron affinity of N, Cand Si are +7,-122 and -134 kJ/mol respectively. Explain the order caretully and completely. You may do so by staling a) If this ngree... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13156 | Home / Help
Author Terdik, Gyรถrgy. author Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis [electronic resource] : A Frequency Domain Approach / by Gyรถrgy Terdik New York, NY : Springer New York : Imprint: Springer, 1999 http://dx.doi.org/10.1007/978-1-4612-1552-3 XV, 270 p. 25 illus... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13157 | # Abstract
Regarding High Cycle Fatigue, a classic damage model is presented in combination with an automatic load advancing strategy that saves computational time when dealing with load histories of millions of cycles. Numerical examples are shown in order to demonstrate the capabilities of the advancing strategy and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13159 | # Siegel modular form
In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the theory are basic models for what a moduli space for abe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13160 | # How do you multiply (5x^3-x^2+x-4) (x+1)?
Jul 4, 2015
Use distributivity to find:
$\left(5 {x}^{3} - {x}^{2} + x - 4\right) \left(x + 1\right) = 5 {x}^{4} + 4 {x}^{3} - 3 x - 4$
#### Explanation:
$\left(5 {x}^{3} - {x}^{2} + x - 4\right) \left(x + 1\right)$
$= \left(5 {x}^{3} - {x}^{2} + x - 4\right) \cdot x + ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13161 | # What is the common ratio of the geometric sequence 7, 28, 112,...?
Sep 19, 2014
The common ratio for this problem is 4.
The common ratio is a factor that when multiplied by the current term results in the next term.
First term: $7$
$7 \cdot 4 = 28$
Second term: $28$
$28 \cdot 4 = 112$
Third term: $112$
$112 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13162 | you are viewing a single comment's thread.
[–]Algebra 4 points5 points ago
sorry, this has been archived and can no longer be voted on
Perhaps I'm missing something, but I thought vector spaces were modules over fields.... F[x] is, in general, not a field.
[–] 7 points8 points ago
sorry, this has been archived and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13163 | Simplifying Rational Expressions
To simplify a rational expression:
1. Completely factor numerators and denominators.
2. Reduce common factors.
Simplify .
Example 2
Simplify .
Whenever possible, try to write all polynomials in descending order with a positive leading coefficient. To have a positive leading coeff... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13165 | take the object's spectrum, measure the wavelengths of several of the absorption lines in its spectrum, and; use the Doppler shift formula above to calculate its velocity. Radial velocity Stars with planets aren't stationary. Other articles where Radial velocity is discussed: Milky Way Galaxy: Solar motion calculations... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13166 | How to write this logarithmic equation as a power
1. Sep 24, 2005
brandon26
how can the relationship between y and x in the form Iny = 3+0.2x, be written in the form y = pq^x.
I tried many ways, but cant find the righ format, someone help please?
2. Sep 24, 2005
mantito
1) ln(a)=x means a=exp(x)
2) exp(x+y)=exp(... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13167 | Section: 17 | Algebra |
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The recommended form of citation is: John R. Rumble, ed., CRC Handbook of Chemistry and Physics, 102nd E... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13164 | # Tag Info
3
It's possible if you define CountVectorizer's token_pattern argument. If you're new to regular expressions, Python's documentation goes over how it deals with regular expressions using the re module (and scikit-learn uses this under the hood) and I recommend using an online regex tester like this one, wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9553 | Definition:Euclid's Definitions - Book X/3 - Rational Line Segment
Jump to: navigation, search
Definition
In the words of Euclid:
With these hypotheses, it is proved that there exist straight lines infinite in multitude which are commensurable and incommensurable respectively, some in length only, and others in squ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9554 | Lemma 10.135.4. Let $k$ be a field. Let $S$ be a finite type $k$-algebra. Let $\mathfrak q$ be a prime of $S$. Choose any presentation $S = k[x_1, \ldots , x_ n]/I$. Let $\mathfrak q'$ be the prime of $k[x_1, \ldots , x_ n]$ corresponding to $\mathfrak q$. Set $c = \text{height}(\mathfrak q') - \text{height}(\mathfrak ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9556 | Free Version
Difficult
# Ratio From Two Different Series
ALGEBR-8VTTXM
The value of an infinite geometric series is:
$$\sum_{n=1}^{\infty}a_n=52$$
...and the sum of the even terms of the same sequence is $\cfrac{52}{3}$. What is the common ratio of the original sequence?
A
$r_a=\cfrac{1}{2}$
B
$r_a=\cfrac{1}{3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9557 | # Who's the oldest?
Albert, Brian and Charles are brothers with different ages.
Albert has twice the age Brian will have when Charles has twice the age Albert has now.
Who's the oldest?
• The brothers are all alive? I.e. some aren't waiting to be born? – corsiKa Jun 15 '15 at 15:30
• I leave it up to you. – Masclin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9558 | # Alternating Series
I have an alternating series problem, and I am looking to find convergence, or divergence. The square roots are making this difficult for me to solve.
I began by moving the $(-1)^{n+1}$ outside of the fraction, and performed the Alternating Series Test. When I try to complete the test, I'm having... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9559 | # Thread: Lenght of the Diagonal of a Quadrilateral given its 4 Side Lengths.
1. ## Lenght of the Diagonal of a Quadrilateral given its 4 Side Lengths.
I was browsing the AMC 2010 Brochure, and came across problem
10A-12, 12A10. It it possible to solve this problem with the given information? If so, how? Thanks in ad... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9560 | Browse Questions
# Using the digits 1,2,3,4,5,6,7,a number of 4 different digit is formed.Find (a) How many numbers are formed
$\begin{array}{1 1}(A)\;840\\(B)\;125\\(C)\;150\\(D)\;175\end{array}$
On the first digit =7choice
On the second digit =6choice
On the third digit =5choice
On the fourth digit =4choice
So the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9561 | 0
2.2kviews
Use Data set in Appendix A. Use K-means algorithm to create two clusters.
0
174views
Step 1: Consider A and B be the main clusters.
Let c1 and c2 denotes the co-ordinate of the centroid.
So, c1= (2, 2), c2= (3, 2)
I X1 X2
A 2 2
B 3 2
C 1 1
D 3 1
E 1.5 0.5
Step 2:
Distance from first centroid c1 = (2, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9563 | # How to find $\mathrm{Rank}(A)$
Let $A\in \mathrm{Mat}_{5\times 4}(\mathbb R)$ be such that the space of all solutions of the linear system $AX^t=[1,2,3,4,5]^t$ is given by $\left\{[1+2s,2+3s,3+4s,4+5s]:s\in \mathbb R\right\}$. I need to find $\mathrm{Rank}(A)$.
I don't know where to start. I need some hints.
-
en.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9565 | 1. (20%) Don’t just write down the answer without explanations.
(a) Determine the number of paths in the xy-plane from $(m,n)$ to $(p,q),$ $m,n,p,q \in$ positive integer or zero, $m < p, \, n < q,$ where each such path is made up of individual steps going one unit to the right $(x,y) \rightarrow (x+1,y)$ or one unit u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9566 | Skip navigation
Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01n583xx62m
Title: Measuring Entropy of Binary Node Labels Given Noisy Edge Measurements in Erdos-Renyi Graphs Authors: Arslan, Andre Advisors: Abbe, Emmanuel A. Contributors: Singer, Amit Department: Mathe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9567 | # Trigo-sign
• June 21st 2009, 09:03 AM
dhiab
Trigo-sign
• June 21st 2009, 11:13 AM
HallsofIvy
Quote:
Originally Posted by dhiab
$cos(x)+ \sqrt{3} sin(x)= 0$ when $tan(x)= \frac{sin(x)}{cos(x)}= \frac{1}{\sqrt{3}$ and that happens when $x= \pi/6+ k\pi$. $sin^2(x)- 1/2= 0$ when $sin(x)= \pm\frac{1}{\sqrt{2}}$ and tha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9555 | # Show derivative positive then strictly increasing on $R$
I know a differentiable function is strictly increasing on [a,b] if the derivative is positive on [a,b]. But what if the function is differentiable on the real line and the derivative is positive, can we then conclude that it is strictly increasing on $\mathbb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9562 | Research
# Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects
Keyu Zhang12*, Jiafa Xu1 and Wei Dong3
Author Affiliations
1 School of Mathematics, Shandong University, Jinan, Shandong, 250100, China
2 Department of Mathematics, Qilu Normal University, Jinan, Shandong, 25... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9564 | # Math Help - Calculus integration (hard)
1. ## Calculus integration (hard)
Do I use integration by substitution?? this is a really tricky question for me
2. ## Re: Calculus integration (hard)
Yes, try the substitution:
$u=1-x\,\therefore\,du=-dx$
Then use:
$\sec(u)\tan(u)=\frac{d}{du}(sec(u))$
3. ## Re: Calcul... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16288 | # Chapter 5 - Ratio and Proportion - 5.1 Ratios - 5.1 Exercises: 34
$\frac{26}{19}$
#### Work Step by Step
Mother’s Day cards to Father’s Day cards. As per Values given 130 million to 95 million (130 million)/(95 million) = $\frac{130}{95}$= (130 ÷5 )/(95 ÷5)= $\frac{26}{19}$ Ratio of Mother’s Day cards to Father’s ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16289 | # Real Division by One
## Theorem
$\forall x, y \in \R: \dfrac x 1 = x$
## Proof
$\displaystyle \frac x 1$ $=$ $\displaystyle x \times \frac 1 1$ Definition of Division $\displaystyle$ $=$ $\displaystyle x \times 1$ Real Number Divided by Itself $\displaystyle$ $=$ $\displaystyle x$ Real Number Axioms: $\R M 4$: I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16290 | Share
# Prove that the Square of Any Positive Integer is of the Form 3m Or, 3m + 1 but Not of the Form 3m +2. - CBSE Class 10 - Mathematics
#### Question
Prove that the square of any positive integer is of the form 3m or, 3m + 1 but not of the form 3m +2.
#### Solution
By Euclid’s division algorithm
a = bq + r, w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16291 | # Consider a Hotelling line of length 1. A grocery store is located at each endpoint. The...
###### Question:
Consider a Hotelling line of length 1. A grocery store is located at each endpoint. The grocery store at the west end point is owned and operated by Jack Donaghy and offers customers the use of a personal “gr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16292 | # zbMATH — the first resource for mathematics
Bounds on the $$L^ 2$$ spectrum for Markov chains and Markov processes: A generalization of Cheeger’s inequality. (English) Zbl 0716.60073
Summary: We prove a general version of J. Cheeger’s inequality [Probl. Analysis, Sympos. in Honor of Salomon Bochner, Princeton Univ. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16293 | Mathematics
# Solve :$\int_{}^{} {\frac{{\left( {3x - 2} \right)}}{{{{\left( {x + 1} \right)}^2}\left( {x + 3} \right)}}} dx$
##### SOLUTION
$\begin{array}{l} \int _{ }^{ }{ \frac { { \left( { 3x-2 } \right) } }{ { { { \left( { x+1 } \right) }^{ 2 } }\left( { x+3 } \right) } } } dx \\ Let\, \frac { { \left( { 3x-2 } ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16294 | # Thread: derangements and permutations in cryptography
1. ## derangements and permutations in cryptography
hi, i have a problem that i am having a bit of trouble with;
we are given a partial key (missing 11 letters) for a mono-alphabetic substitution cipher and asked to calculate the number of possible keys given t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16295 | ## On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium.(English)Zbl 0634.35042
The paper under review addresses the equation
$u(x,t)_t=\Phi(u(x,t))_{xx} +b(u(x,t))_x$ where $$\Phi$$ and $$b$$ are real continuous functions, $$t>0$$, and $$x$$ varies (i) on the whole real ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16298 | # Q13 D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that $AE^2 + BD^2 = AB^2 + DE^2.$
S seema garhwal
In $\triangle$ ACE, by Pythagoras theorem,
$AE^2=AC^2+CE^2..................1$
In $\triangle$ BCD, by Pythagoras theorem,
$DB^2=BC^2+CD^2................ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16299 | # Fourier transform of Logarithm ?
1. Aug 1, 2009
### zetafunction
does anyone know how to calculate (in the sense of distribution) the Fourier transform of
$$f(x)= ln|x|$$
that is to obtain the integral $$\int_{-\infty}^{\infty} dx ln|x|exp(iux)$$
2. Aug 1, 2009
### Cyosis
I guess the absolute value is the pro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16300 | # Projection operators in quantum mechanics
I'm reading a book on quantum mechanics and a topic in there was not well explained. I couldn't find an answer on the web.
Say $\psi(x)$ is a position wave function of a one dimensional free particle, and $\hat{\psi}(k)$ the momentum wave.
Say $\psi(x)$ and $\hat{\psi}(k)$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_16303 | # Localization of PID, if DVR, is a localization at a prime ideal
Let $R$ be a PID. Let $S$ be a multiplicative closed subset of $R$ and let $\bar S$ be its saturation. Then $S^{-1}R=\bar S^{-1} R= A$ (let) . Suppose $A$ is a Valuation ring, then it is also a DVR since it is PID. My question is : If $A=S^{-1}R$ is a D... |
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