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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9782 | User:
# Addition of polynomials
Addition of polinomials
Adding polynomials is essentially combining like terms of polynomial expressions. When adding polynomials, they can either be arranged vertically or grouped according to degree.
Add P(x)= 2p3 + 6p2 +9p to Q(x) = 3p3 - 8p2 - 11p
The resulting polynomial is: P(x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9783 | Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 17 (2007), No. 1, 191--227Copyright Heldermann Verlag 2007 Branching of Some Holomorphic Representations of SO(2,n) Henrik Seppänen Dept. of Mathematics, Chalmers University of Technology and Gö... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9784 | # A Sample Proof Using Mathematical Induction (playing with LaTeX)
It’s been a long time since I used LaTeX regularly, and I discovered that I don’t have any leftover files from my days as a math student in Waterloo. After looking at LaTeX in the context of D2L today, I dug out a unit plan I had written for MGA4U (ext... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9786 | # Strong induction inequality $\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}\leq\frac{5}{8}-\frac{1}{n}$
Use strong induction to prove that
$$\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}\leq\frac{5}{8}-\frac{1}{n}$$ $$n\geq2$$
I'm not sure how to go about this. I used base cases n=2, and n=3 but I'm having tr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9787 | # Topology compact sets
1. The question is to show whether A is compact in R2 with the standard topology. A = [0,1]x{0} U {1/n, n$$\in$$ Z+} x [0,1]
3. If I group the [0,1] together, I get [0,1] x {0,1/n, n $$\in$$ Z+ }, and [0,1] is compact in R because of Heine Borel and {0}U{1/n} is compact since you can show that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9790 | # Spin connection raise and lower flat indices
The spin connection $$\omega^a_{b\nu}$$ is used to define the covariant derivative of a spinor in curved spacetime. I want to explicitly calculate the covariant derivative:
$$\nabla_\nu\Psi=(\partial_\nu+\Omega_\nu)\Psi$$
for a given metric in two dimensions. In this ar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9791 | "I am Back" says Integration Part 4
Calculus Level 5
$I=\displaystyle \int _{ 0 }^{ \pi /2 }{ \log(\cos(x))\ \log^ 2 (\sin(x)) \ \mathrm d x }$
If $$16I$$ can be represented in the form of $$a\pi \zeta(b) - c\pi\log^d (f)$$
Find $$a+b+c+d+f$$
Details and Assumptions
• $$a,b,c,d,f$$ are positive integers not necca... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9780 | Chemistry: The Molecular Science (5th Edition)
$Q_{sp} < K_{sp}$ Therefore, there is no precipitation.
1. Write the $K_{sp}$ expression: $AgCl(s) \lt -- \gt 1Ag^{+}(aq) + 1Cl^{-}(aq)$ $K_{sp} = [Ag^{+}]^ 1[Cl^{-}]^ 1$ 2. Calculate the $Q_{sp}$: $Q_{sp} = (1.0 \times 10^{-5})^ 1 \times (1.0 \times 10^{-5})^ 1$ $Q_{sp} ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9785 | International Mathematics Research Notices ( IF 1.452 ) Pub Date : 2020-01-11 , DOI: 10.1093/imrn/rnz386
Wiemeler M.
Let $M$ be a simply connected spin manifold of dimension at least six, which admits a metric of positive scalar curvature. We show that the observer moduli space of positive scalar curvature metrics on ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9789 | ## Observations on the PARCC sample Geometry exam
Part 1: Observations on the PARCC sample Algebra I exam
Part 2: Observations on the PARCC sample Algebra II exam
Part 3: Observations on the PARCC sample Geometry exam
Calculator part: 18 of 25
Use the information provided in the animation to answer the questions abo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9788 | ## Calculus 8th Edition
Since the highest degree of $n$ in the numerator is 2 and the highest degree in the denominator is 1, the limit as $n$ approaches infinity will resemble that of $\frac{5n^2}{n} = 5n$, which is infinite as $n \to \infty$. Hence the sequence diverges. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18720 | # Definitions of Collectionwise Normal Spaces
The notion of collectionwise normal spaces is a property stronger than normal spaces. There are several ways of defining the notion of collectionwise normality. We show that they are equivalent.
We only consider spaces in which any set with only one point is considered a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18721 | ## A community for students. Sign up today
Here's the question you clicked on:
## LeahAnnEvans19 3 years ago What is the area of a circle with a radius of 4 meters? Use 22/7 for pie .
• This Question is Closed
1. FoolForMath
Area of a circle is given by $$\pi r^2$$, where $$r$$ is the radius. So, $$\frac {22}7 \tim... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18722 | FranklinGraph - Maple Help
# Online Help
###### All Products Maple MapleSim
GraphTheory[SpecialGraphs]
FranklinGraph
construct Franklin graph
Calling Sequence FranklinGraph()
Description
• The FranklinGraph() command constructs the Franklin graph.
• The Franklin graph is a nonplanar bipartite graph wi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18724 | 2f m b. Foster Seeley detector This estimate is sufficiently good for virtually all requirements and as a result Carson's rule is widely used. Bandwidth is most often purchased from telecommunications companies. It only takes a minute to sign up. ... NBFM, radio communication systems, the signal consists of the car... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18725 | # True statements for a continuous function
Let $f\colon \mathbb R\rightarrow \mathbb R$ be a continuous function. Define $G = \{(x, f(x)) : x \in \mathbb R\} \subseteq \mathbb R^2$. Pick out the true statements:
a. $G$ is closed in $\mathbb R^2$.
b. $G$ is open in $\mathbb R^2$.
c. $G$ is connected in $\mathbb R^2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18727 | SCERT AP 7th Class Maths Solutions Pdf Chapter 4 Lines and Angles Unit Exercise Questions and Answers.
## AP State Syllabus 7th Class Maths Solutions 4th Lesson Lines and Angles Unit Exercise
Question 1.
Find the complementary, supplementary and conjugate angle of 36°.
Complementary angle of 36° is 90° – 36° – 54°
Su... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18728 | Posted on Categories:Discrete Mathematics, 数学代写, 离散数学
# 数学代写|离散数学代写Discrete Mathematics代考|MA2201/CS2022 Incidence and Adjacency Matrices of a Graph
avatest™
## avatest™帮您通过考试
avatest™的各个学科专家已帮了学生顺利通过达上千场考试。我们保证您快速准时完成各时长和类型的考试，包括in class、take home、online、proctor。写手整理各样的资源来或按照您学校的资料教您，创造模拟试题，提供所有的问题例子，以保证您在真实考试中取得的通... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18729 | Seminar Calendar
for events the day of Thursday, September 20, 2012.
.
events for the
events containing
Questions regarding events or the calendar should be directed to Tori Corkery.
August 2012 September 2012 October 2012
Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa
1 2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18730 | # A car travels for 15-s at a velocity of 12m/s due north. What is the displacement of the car?
Jul 20, 2015
Displacement: 180 m
#### Explanation:
To determine the car's displacement, you need to take into account its starting point and finish point.
Since your car travels in a straight line and in one direction, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18731 | Dear friends, Please read our latest blog post for an important announcement about the website. ❤, The Socratic Team
## Featured Answers
2
Active contributors today
## What are examples of dipoles?
Andrew B.
Featured 1 year ago
#### Answer:
Any molecule that has a nonzero vector sum of dipole moments is said to b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18733 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 20 Oct 2019, 22:29
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18723 | +0
Mensuration - volume
+8
346
1
+132
A toy consists of a cylinder of diametre 6 cm 'sandwiched' between a hemisphere and a cone of the same diameter. If the cone is of height 8cm and a cylinder is of height 10cm, what is the volume of the toy.
Jeffreymars16 Jun 1, 2017
edited by Jeffreymars16 Jun 1, 2017
#1
+732... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18726 | # Reduction of an Inequality in $\mathbb{C}$
Reduce[
Abs[-((4 p)/(-1 + Sqrt[1 + 4 p + 4 q])^2)] +
Abs[-((4 q)/(-1 + Sqrt[1 + 4 p + 4 q])^2)] < 1 , Abs[p]]
It is taking lot of time. It is running. Can any one help to reduce the inequality?
• There won't be a nice form. If you Plot3D it, you'll see that the region yo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18732 | # The solubility of Ba(NO_3)_2 is 130.5 g/L at 0^o C. How many moles of dissolved salt are present in 4.0 L of a saturated solution of Ba(NO_3)_2 at 0^oC?
Jul 16, 2016
"2.0 moles Ba"("NO"_3)_2
#### Explanation:
The problem provides you with the solubility of barium nitrate, "Ba"("NO"_3)_2, in grams per liter, ${\te... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18734 | `International Journal of CombinatoricsVolume 2012 (2012), Article ID 760310, 6 pageshttp://dx.doi.org/10.1155/2012/760310`
Research Article
## The Structure of Reduced Sudoku Grids and the Sudoku Symmetry Group
Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, UK
Recei... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18735 | # Potential energy
Potential energy (U, or Ep), a kind of scalar potential, is energy by virtue of matter being able to move to a lower-energy state, releasing energy in some form. For example a mass released above the Earth has energy resulting from the gravitational attraction of the Earth which is transferred in to... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14176 | # How to solve this weird-looking equation?
So, when I was posting an answer to another user's question, I came up with this strange-looking equation whose roots I want to find. The main problem I have is that the radical sign is really throwing me off, and I'm not sure how I should deal with it. Can someone help me o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14177 | # On the existence of homoclinic type solutions of inhomogenous Lagrangian systems
Ciesielski, Jakub, Janczewska, Joanna, Waterstraat, Nils (2017) On the existence of homoclinic type solutions of inhomogenous Lagrangian systems. Differential and Integral Equations, 30 (3-4). pp. 259-272. ISSN 0893-4983.
PDF - Author'... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14178 | Copied to
clipboard
## G = F5×C21order 420 = 22·3·5·7
### Direct product of C21 and F5
Aliases: F5×C21, C5⋊C84, C357C12, C152C28, C1054C4, D5.C42, (C7×D5).4C6, (C3×D5).2C14, (D5×C21).4C2, SmallGroup(420,20)
Series: Derived Chief Lower central Upper central
Derived series C1 — C5 — F5×C21
Chief series C1 — C5 — D... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14179 | ## Tail Bounds of the Normal Distribution
The question of bounding the tails of the normal distribution has popped up a couple of times on math.SE lately. This is an easy-to-prove but useful result, and so it’s worth talking about.
The standard normal probability density function is $f(t) = \frac{1}{\sqrt{2\pi}} e^{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14180 | # How do you solve a 2 digit problem?
## How do you solve a 2 digit problem?
Word problems, or story problems, appear in everyday life and also show up in the Common Core State Standards for every grade level, K-12. You can use three common types of word problems — part-part whole, separate and join and multiply and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14181 | # Difference between revisions of "2016 AMC 12B Problems/Problem 10"
## Problem
A quadrilateral has vertices $P(a,b)$, $Q(b,a)$, $R(-a, -b)$, and $S(-b, -a)$, where $a$ and $b$ are integers with $a>b>0$. The area of $PQRS$ is $16$. What is $a+b$?
$\textbf{(A)}\ 4 \qquad\textbf{(B)}\ 5 \qquad\textbf{(C)}\ 6 \qquad\te... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14182 | In a primary school, the parents were asked the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped $\frac{1}{2}$ hour to $1\frac{1}{2}$hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20%... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14183 | # General Solution of Differential Equation with Trigonometric Functions
I'm trying to solve the differential equation $x'' + 4x = 4t$, endpoint value $x(0) = x(1) = 0$, and ask me how to derive the solution $x(t) = t - \sin2t/\sin2$.
The answer says that since the particular solution $t$ is easily found, the general... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14184 | # Extrema of two-variable function in bounded region
1. Oct 3, 2012
### xWaffle
1. The problem statement, all variables and given/known data
Find absolute maxima and minima of the function in the given region:
T(x,y) = x2 + xy + y2 - 6x
Region: Rectangular plate given by: 0 ≤ x ≤ 5, -3 ≤ y ≤ 3
2. Relevant equati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14185 | # If the cubic polynomial with rational coefficients $x^3+ax^2+bx+c$ has a double root, the root is rational.
This question comes from a problem in Rational Points on Elliptic Curves by Silverman and Tate. The problem asks to show that
For a cubic curve $C: y^2=x^3+ax^2+bx+c$ with $a,b,c\in \mathbb{Q}$, if $S=(x_0, y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14186 | ## Precalculus (6th Edition) Blitzer
Published by Pearson
# Chapter 10 - Section 10.6 - Counting Principles, Permutations, and Combinations - Exercise Set - Page 1105: 78
#### Answer
A combination is defined as a random arrangement (order is not important) taken all or a few items at a time.
#### Work Step by Step... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14187 | # Integration by u- substitution (involving natural logs)
1. Dec 23, 2007
### lLovePhysics
1. The problem statement, all variables and given/known data
$$\int \frac{1}{1+\sqrt{2x}}dx$$
2. Relevant Equations
$$u=1+\sqrt{2x}$$
$$\sqrt{2x}=u-1$$
$$dx=(u-1)du$$
3. The attempt at a solution
I was able to get it dow... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14188 | Main content
# Quantum numbers
## Video transcript
- [Voiceover] In the Bohr model of the hydrogen atom, the one electron of hydrogen is in orbit around the nucleus at a certain distance, r. So in the Bohr model, the electron is in orbit. In the quantum mechanics version of the hydrogen atom, we don't know exactly w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14189 | In a potato race, a bucket is placed at the starting point,
Question.
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line (see fig.). A competitor starts from the bucket, picks... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14191 | • # question_answer The measurements of $\Delta DEF$ are $EF=8.4\text{ }cm,$ $\angle E=100{}^\circ$ and$\angle F=82{}^\circ$. Which of the following is correct? A) ADEF can be constructed. B) ADEF is an obtuse angled triangle.C) A cannot be constructed D) ADEF is an acute angled triangle.
$\Delt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14190 | # Closed form solution of tricky nonlinear equation system
I am developing a solution for a Chemical Engineering course, and I came across an interesting (tricky) equation system, for which I am curious if it is possible to solve it explicitly (closed form solutions). I am not interested in the solution "per-se" as I ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1760 | # The Most Important Relation In Mathematics 1
Part 1: Basics
In this and few following posts I will argue that not only in mathematics, but in all human reasoning, the role of equivalence relations is crucial. The notion of an equivalence relation is the key to any abstractions; the only way to classify things in on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1762 | # Generating function for kind of sum of Fibonacci numbers
Let's have a sequence $$a_n = \sum_{i=0}^n F_iF_{n-i}$$ where $F_n$ is n-th Fibonacci number.
I tried to solve it somehow, but i'm pretty stuck. Defining Fibonacci numbers $$b_0=0, b_1=1, b_n=b_{n-1}+b_{n-2}$$ I got that generating function for fib numbers is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1763 | # zbMATH — the first resource for mathematics
Interval criteria for oscillation of second-order functional differential equations. (English) Zbl 1091.34036
Summary: By using averaging functions, new interval oscillation criteria are established for the second-order functional-differential equation $(r(t)|x'(t)|^{\alph... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1765 | Quantum Mechanics integral for Dirac Delta with abs value
Homework Statement
Break integral into positive and negative, integrate, recombine and simplify and show that it reduces to a real-valued function. (See attachments)
See attachments
The Attempt at a Solution
My solution is not reducing to a real-valued func... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1766 | # Spring Problem
1. Oct 26, 2004
### Lorbersf
A vertical spring is created by affixing one end of the spring with k=500N/m to the floor. A 2.0kg mass is held .8m above the equlibrium position of the free and of the spring and released from rest. What is the speed of the mass when the spring is compressed .15m?
I ne... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1767 | Consistency strength of saturated ideals on $[\lambda]^{<\kappa}$
In the Handbook of Set Theory, Foreman notes that in models constructed by Magidor from a huge cardinal, there exists a normal ideal on $[\omega_2]^{<\omega_1}$ that is $\omega_3$-saturated. Other results in this article imply that this is the minimal p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1768 | ## Hamiltonian actions and contractible loops
Let $(M, \omega)$ be a symplectic manifold and $G$ be a compact Lie group. Suppose we have a Hamiltonian $G$-action on $M$, with moment map $\mu: M \to {\mathfrak g}^*$.
We assume that the moment map is proper in case $M$ is noncompact.
The question is: for any loop $\ga... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1770 | Three Dimensional Geometry: Learn Terms, Concepts of Lines, Planes and Angles using Formulas
0
Save
Any point when represented in the three-dimensional space constitutes x-coordinate, y-coordinate and z-coordinate. This implies a point in a three-dimensional geometry is represented using x-coordinate, y-coordinate a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1773 | # How do you write a rule for the nth term of the geometric term given the two terms a_4=-8/9, a_7=-64/243?
Feb 28, 2017
${a}_{n} = - {2}^{n - 1} / {3}^{n - 2}$
#### Explanation:
Suppose using standard notation for a GP sequence that the first term is $a$ and the common ratio is $r$, the first few terms of the sequ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1774 | MathSciNet bibliographic data MR428791 (55 #1811) 68A20 McCarthy, D. P. The optimal algorithm to evaluate \$x\sp{n}\$$x\sp{n}$ using elementary multiplication methods. Math. Comp. 31 (1977), no. 137, 251–256. Article
For users without a MathSciNet license , Relay Station allows linking from MR numbers in online mathem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1775 | # find slope of tangent line at x=a
• Sep 11th 2008, 08:46 PM
mono1357
find slope of tangent line at x=a
for y=1/(sqrt(x)) find slope of tangent line at the point where x=a
then, find the equation of the tangent line at (4,1/2)
• Sep 11th 2008, 08:52 PM
11rdc11
Take the first derivative and replace x with a to find y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1761 | PC Repair Center has been serving the Greater Capital NY region for over 10 years. We are an authorized DIRECTV dealer, offering cutting-edge technology, dependable customer service, and unmatched channel selection, including packages like NFL Sunday Ticket. Please contact us today and let us know about the best satell... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1764 | # A new transform method II: the global relation and boundary-value problems in polar coordinates
E. A. Spence, A. S. Fokas
## Abstract
A new method for solving boundary-value problems (BVPs) for linear and certain nonlinear PDEs was introduced by one of the authors in the late 1990s. For linear PDEs, this method co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1769 | ×
# What is the LCM of 18 and 24?
Sep 28, 2016
Least Common Multiple is $72$.
#### Explanation:
Multiples of $18$ are $\left\{18 , 36 , 54 , \textcolor{red}{72} , 90 , 108 , 126 , \textcolor{red}{144} , 162 , \ldots\right\}$
Multiples of $24$ are $\left\{24 , 48 , \textcolor{red}{72} , 96 , 120 , \textcolor{red}{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1771 | ### 2.2 Level Zero and Level One Quadratics
Lesson materials located below the video overview.
Alright, let’s explain that quadrangle method.
And to make this is easy as possible, let’s start with the quadratics that are ridiculously easy to solve and work our way up to the full quadrangle method.
And for fun, let’... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_1772 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Aug 2018, 21:12
### GMAT Club Daily Prep
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7776 | # Thread: Showing equality of two expressions for calculating variance.
1. ## Showing equality of two expressions for calculating variance.
2. Originally Posted by gaidd
$\displaystyle \frac{1}{n-1} \sum_{i=1}^n (x_i - \overline{x})^2 = \frac{1}{n-1} \sum_{i=1}^n x_i^2 - \frac{2 \overline{x}}{n-1} \sum_{i=1}^n x_i + ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7779 | # Mathematics 2010 | Study Mode
Question 51
A
6(2x + 1)
B
3(2x + 1)
C
6(2x + 1)2
D
2(2x + 1)2
##### Explanation
If y = (2x + 1)3, then
Let u = 2x + 1 so that, y = u3
$$\frac{dy}{du}$$ = 3u2 and $$\frac{dy}{dx}$$ = 2
Hence by the chain rule,
$$\frac{dy}{dx}$$ = $$\frac{dy}{du}$$ x $$\frac{du}{dx}$$
= 3u2 x 2
= 6u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7780 | ## Wednesday, October 6, 2010
### Sizes of Linear Groups
Let F be a finite field with q elements. In fact given q (a power of a prime) there is just one such field (up to isomorphism of course, but algebraists are blind to isomorphic structures). Thus, it is well-defined (up to isomorphism, but again algebraists are ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7782 | # Always Divisible By 17
$$x$$ and $$y$$ are integers such that $$(2x+3y)$$ is divisible by 17.
For which of the following values of $$k$$, must $$9x + ky$$ always be divisible by 17?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7783 | The positive oxidation state is the total number of electrons removed from the elemental state. Not available. So in this case it would be (1)(X)+(4)(-2)=-1 and if we solve that we get X=+7 which is the oxidation number for Cl in this case. Cl + 4 (-2) = -1. They have homologous structures, indicating a common ancestor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7784 | # What does the completeness of a system mean for the provability of certain statments?
Through the 16th to 19th centuries mathematicians tried to prove the Euclids parallel postulate from Euclid's other four postulates. In the beginning of the 19th century the mathematics community found that the fifth postulate is l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7785 | Friday, October 12, 2007
3:30 pm, MC 5158
## Hristo Sendov University of Western Ontario
On the Tunçel Conjecture: A New Class of Self-Concordant Barriers on Sets of Symmetric Matrices
Given a separable strongly self-concordant function $f:\R^n \rightarrow \R$, we show the associated spectral function $F(X)= (f \cir... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7786 | # How do you solve 3d + 4= - 11- 2d?
Apr 30, 2018
$d = - 3$
#### Explanation:
$3 d + 4 = - 11 - 2 d \rightarrow$ Get the variables to the same side
$5 d + 4 = - 11$
$5 d = - 15$
$d = - 3$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7787 | # Homotopes of simple Lie algebras
Let $\mathfrak{g}$ be a complex simple Lie algebra with bracket $[x,y]$. For which $z\in \mathfrak{g}$ defines $$\mu(x,y)=ad (z)([x,y])=[z,[x,y]]$$ another Lie bracket on the same vector space ? For $\mathfrak{g}=\mathfrak{sl}(2,\mathbb{C})$ this holds for every $z$. Explicit computa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7788 | # The Unapologetic Mathematician
## Conjugacy classes in symmetric groups
Let’s work out how symmetric groups act on themselves by conjugation. As I’m writing I notice that what I said before about composition of permutations is sort of backwards. It’s one of those annoying conventions that doesn’t really change anyt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7789 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7790 | # Homework Help: Area in cardioid and outside circle - Using Double Integral
1. Jul 20, 2011
### anonymity
Area in cardioid and outside circle -- Using Double Integral
1. The problem statement, all variables and given/known data
Find the area inside of the cardioid given by r = 1 + cos$\theta$ and outside of the c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7778 | # Spinor reps in $\mathbb{R}^{1,3}\times{}B$ space-times
+ 3 like - 0 dislike
58 views
I am considering spinors in a space-time which is $\mathbb{R}^{1,3}\times{}B$ being $B$ a compact manifold of $D$ dimensions.
I know that in ordinary 4 dimensional space-time spinors are representations of $O(1,3)$. Now, in my cas... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7781 | # Mathematics Commons™
20,260 Full-Text Articles 20,191 Authors 7,076,253 Downloads 299 Institutions
## All Articles in Mathematics
20,260 full-text articles. Page 1 of 636.
Oscillation Of Nonlinear Third-Order Difference Equations With Mixed Neutral Terms, 2021 Missouri University of Science and Technology
#### O... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7791 | ## Gaussian Integral Substitution
$$\int_{-1}^{1}e^{x}dx$$
Then performing the substitution $x=\frac{1}{t}$ would give me
$$\int_{-1}^{1}-e^\frac{1}{t}t^{-2}dt$$
Which can't be right because the number in the integral is always negative. Is this substitution not correct?
Sorry if I am being very thick but I can't ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7777 | # Theory
Welcome to our fifth practical experience in R. Throughout the following notes, I will introduce you to a couple statistical approaches for metric or ordinal data when wanting to compare more than two samples/populations that might be useful to you and are, to varying degrees, often used in biology. To do so,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8656 | ## Algebra 1
When y is negative, the two expressions are not equivalent. For example, consider x=4 and y=-2 $|x-y|\overset?=|x|-|y|$ $|4-(-2)|\overset?=|4|-|-2|$ $|4+2|\overset?=4-2$ $6\ne2$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8657 | +0
# help
0
83
2
Tevin runs a 100-meter race. 5 seconds after the race started Tevin is 35 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Tevin notices that he is 67 meters from the starting line 9 seconds after the race started. What is Tevin's max speed... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8658 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# (a) Sketch the graph of a function on $[-1, 2]$ that has an absolute maximum but no local maximum.(b) Sketch the graph of a function on $[-1, 2]$ that has a local maximum but no absolute maximum.
## Grap... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8659 | 3 added 10 characters in body
In this question it was asked what relation, if any, exists between the notions of a monomorphism in a general category $\mathcal C$ and an injective map. Of course the question only makes sense if $\mathcal C$ is a concrete concretizable category. If $\pi:\mathcal C\to Set$ is a faithful... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8660 | # How do you write a polynomial in standard form, then classify it by degree and number of terms 2x^2+5x+2x^3+4?
Feb 10, 2018
Standard form: $2 {x}^{3} + 2 {x}^{2} + 5 x + 4$
Classification of number of terms: polynomial
Classification of the degree: cubic
#### Explanation:
Standard form is when you organize the pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8661 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 21 Jan 2019, 16:48
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8663 | MathSciNet bibliographic data MR1909651 (2003h:57045) 57S30 (20H10 30F45 51M10) Falbel, E.; Koseleff, P.-V. A circle of modular groups in ${\rm PU}(2,1)$${\rm PU}(2,1)$. Math. Res. Lett. 9 (2002), no. 2-3, 379–391. Article
For users without a MathSciNet license , Relay Station allows linking from MR numbers in online ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8664 | # On a criterion for rational-smoothness of Schubert varieties and an ambiguity of the taking the ambient Algebraic group to be simply connected or not
In the paper: Pattern Avoidance and Rational Smoothness of Schubert Varieties, Sara C. Billey, Advances in Mathematics 139, 141-156(1998), https://www.sciencedirect.co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8665 | # Subdifferential
(of $LaTeX: f$ at $LaTeX: x$). $LaTeX: \textstyle \partial f(x) = \{y: x \in \argmax\{vy - f(v): v \in X\}\}$ Also see conjugate function. If $LaTeX: f$ is convex and differentiable with gradient, $LaTeX: \textstyle \nabla f, \partial f(x) = \{\nabla f(x)\}.$
$LaTeX: \mbox{Example: } f(x) = | x |. \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8666 | Christopher: I was asking Keith to define
$\Phi \colon \textbf{Bool}^{\text{op}} \times [0,\infty) \to \textbf{Bool}$
and check that _this_ is a monotone function.
But yeah, we are not looking for a monotone function \$$\Phi \colon \textbf{Bool} \to [0,\infty) \$$. A monotone function \$$\Phi \colon \textbf{Bool}^{\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8667 | Limit Question
1. Oct 9, 2008
moo5003
I'm studying for the GRE thats coming up in a week or two and I came across a problem where the answer given in the book does not make sense to me and I was wondering of someone here could explain it to me.
Question:
Lim as n goes to infinity of X_(n+1) / X_n
Where X_n = n^n ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8668 | # Difference between revisions of "1985 AJHSME Problems/Problem 19"
## Problem
If the length and width of a rectangle are each increased by $10\%$, then the perimeter of the rectangle is increased by
$\text{(A)}\ 1\% \qquad \text{(B)}\ 10\% \qquad \text{(C)}\ 20\% \qquad \text{(D)}\ 21\% \qquad \text{(E)}\ 40\%$
##... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8669 | Let $u$ be a smooth function defined in a Riemannian manifold $(M, g)$. The well known Kato’s inequality states
Theorem 1. $$|\nabla| \nabla u |^{2} \leq\left|\nabla^{2} u\right|^{2}$$
where $\nabla^{2}$ represents the Hessian operator of $M$.
Proof .
Where $\nabla u \neq 0$, this is simple calculus: The product ru... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8671 | # The Design of Approximation Algorithms
the website for this book
Algorithms by Jeff Erickson
# 1 An introduction to approximation algorithms
Definition 1.1: An $\alpha$-approximation algorithm is …
Definition 1.2: A polynomial-time approximation scheme (PTAS) is …
Theorem 1.3: For any MAX SNP-hard problem, ther... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8662 | Now showing items 1-1 of 1
• #### A Relation Between N-Qubit and 2N-1-Qubit Pauli Groups via Binary LGr(N,2N)
[OWP-2013-25] (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)
Employing the fact that the geometry of the $N$-qubit ($N\geq 2$) Pauli group is embodied in the structure of the symplectic polar s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8670 | # Definition talk:Category
There are many references to Domain, Codomain, Morphism, Object, etc. which already have pages set up for them in the context of set theory and abstract algebra. These pages need to be linked to (partly done) and then added to (to put the category-specific information in there) and then the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8209 | # Calculus is not Hard – The Derivative
The Calculus is made up of a few basic principles that anyone can understand. If looked at in the right way, it’s easy to apply these principles to the world around you and to see how the real world works in their terms. Of the two main ideas of The Calculus — the derivative and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8210 | # Homework Help: Why is the ground state always symmetric?
1. Apr 19, 2010
### jasony
1. The problem statement, all variables and given/known data
Why is the ground state always symmetric and first excited state anti-symmetric?
OR Why does the ground state always have no node and first excited state has one node?
2... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8212 | # How do you simplify 2sqrt(-16/7)?
Dec 13, 2015
$\frac{8 \sqrt{7} i}{7}$
#### Explanation:
This can be rewritten as
$2 \sqrt{- 1 \times \frac{16}{7}}$
$= 2 i \sqrt{\frac{16}{7}}$
$= \frac{2 i \sqrt{16}}{\sqrt{7}}$
$= \frac{8 i}{\sqrt{7}}$
$= \frac{8 i}{\sqrt{7}} \left(\frac{\sqrt{7}}{\sqrt{7}}\right)$
$= \fr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8213 | ?
Free Version
Moderate
Magnitude of Acceleration: Does the Rocket Blast Off?
APPH12-EXJDM1
A 15,000 kg rocket has an upward thrust of 270,000 N on the launch pad.
What is the magnitude of the acceleration of the rocket (if any)?
A
0.0 $\cfrac{m}{{s}^2}$ (there is not enough thrust for the rocket to rise)
B
8.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8214 | # Peak functions in $$\mathbb {C}$$ C -convex domains
Peak functions in $$\mathbb {C}$$ C -convex domains Annali di Matematica https://doi.org/10.1007/s10231-018-0759-3 Peak functions in C-convex domains 1 2 Peter Pflug · Włodzimierz Zwonek Received: 6 October 2017 / Accepted: 12 May 2018 © The Author(s) 2018 Abstract ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8215 | • Jul 17th 2011, 08:09 PM
raimel
Hii... I need help with some of this excersises...
1) Solve 3x2 + 4x = 2
2) Solve x2 + 9x + 9 = 0
3) Solve 2x2 = 14x + 20
butt the answer cannot be like x= something and x= something else... it must be likehttp://learn.flvs.net/webdav/assessm...5_03c_4_01.gif ... or i don't know... Pl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8216 | Previous issue · Next issue · Most recent issue · All issues
# Journal of Operator Theory
Volume 67, Issue 1, Winter 2012 pp. 73-100.
The higher-dimensional amenability of tensor products of Banach algebras
Authors Zinaida A. Lykova
Author institution: School of Mathematics and Statistics, Newcastle University, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8217 | # Complex Puzzle
##### Stage: 4 and 5 Challenge Level:
This resource is part of our Adventures with Complex Numbers collection
This activity follows on from Into the Wilderness.
In this diagram, there are several points and the unit circle (the circle with centre at the origin and radius 1).
The points $a$ to $h$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8219 | # Calculus 1- Find directly the derivative of a function f.
The following limit represents the derivative of a function $f$ at a point $a$. Evaluate the limit.
$$\lim\limits_{h \to 0 } \frac{\sin^2\left(\frac\pi 4+h \right)-\frac 1 2} h$$
-
L'Hospital? ${}$ – Henning Makholm Oct 23 '12 at 0:22
Looks like he is supp... |
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