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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3880 | Approximate the given limit both numerically and graphically.
$f(x) = \left\lbrace\begin{array}{ll} x + 8 & \quad x \leq 4, \\ 3x - 2 & \quad x > 4 \end{array}\right.$
$\lim\limits_{x \to 4} f(x) =$
(Enter DNE if the limit doesn't exist)
Your overall score for this problem is |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3881 | # on 10-Dec-2019 (Tue)
#### Annotation 4598209842444
We (Reich et al. 2019) present the results of a multiinstitution collaborative effort to standardize the collection and evaluation of forecasting models for influenza in the United States for the 2010/2011 through 2016/2017 influenza seasons. For these seven seaso... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3882 | Thread: Determine an equation....
1. Determine an equation....
... of a polynomial function with zeros at 2,-2, 1 and a y-intercept of 24
I put (x-2)(x-1)(x+2) +24 and factored out but it didn't work correctly
I got x3-1x2-4x+24
What am I doing wrong here?
2. Re: Determine an equation....
Originally Posted by rh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3883 | Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 27 (2017), No. 2, 529--544Copyright Heldermann Verlag 2017 Cohomology of N-Graded Lie Algebras of Maximal Class over Z2 Yuri Nikolayevsky Dept. of Mathematics and Statistics, La Trobe University... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3885 | Thread: Finding Max height and time
1. Finding Max height and time
The formula h = -16t^2 + v(subscript)0t + s(subscript)0 gives the height of an object tossed upward where v(subscript)0 represents the initial velocity, s(subscript)0 represents the initial height, and t represents time. A golf ball is hit straight up... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3887 | Derivative latex help
1. Aug 8, 2004
devious_
I posted the same thread twice. Oops. :tongue2:
Last edited: Aug 8, 2004
2. Aug 8, 2004
devious_
Derivative
$$x = e^u$$, where u is a function of x.
Using the chain rule:
$$\frac{dy}{du} = e^u\frac{dy}{dx}$$
Using the product rule:
$$\frac{d^2y}{du^2} = \frac{d}{du... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3873 | Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+
Title Keywords Abstract Author All
Search Results: 1 - 10 of 100 matches for " "
All listed articles are free for downloading (OA Articles)
Page 1 /100 Display every page 5 10 20 Item
Hua-Huai Chern Mathematics , 1999, Abstract: Th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3875 | # Resources tagged with: Factors and multiples
Filter by: Content type:
Age range:
Challenge level:
### There are 92 results
Broad Topics > Numbers and the Number System > Factors and multiples
### Number Rules - OK
##### Age 14 to 16 Challenge Level:
Can you convince me of each of the following: If a square numb... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3884 | # Diophantine equation with $gcd = 1$
John has $100$ marbles and wants to split them into $4$ groups $A,B,C,$ and $D$ such that the greatest common divisor of the number of marbles in all of the groups is $1$. Find the number of ways John can do this.
This question is equivalent to finding all nonnegative solutions t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3886 | # An object is thrown along a direction inclined at an angle of $45^{\circ}$ with the horizontal range of the particle is equal to
$\begin{array}{1 1}(A)\;vertical\; height\\(B)\;twice\;the \; vertical\;height \\(C)\;thrice \;the\; vertical \;height\\(D)\;four\; times \;the\;vertical\;height \end{array}$
$H= \large\f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3879 | ## Elementary Algebra
Published by Cengage Learning
# Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2 - Page 406: 52
#### Answer
$-4a^{5}$
#### Work Step by Step
Using the properties of radicals, the given expression, $-\dfrac{2}{7}\sqrt[]{196a^{10}} ,$ simplifies to \begin{array}{l}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5888 | ### Home > A2C > Chapter 7 > Lesson 7.2.2 > Problem7-115
7-115.
The economy has worsened to the point that the merchants in downtown Hollywood cannot afford to replace their outdoor light bulbs when the bulbs burn out. On average, about thirteen percent of the light bulbs burn out every month. Assuming there are now ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5890 | ## Archive for the ‘Biophysics’ Category
### Thermodynamics integration
Sunday, January 16th, 2011
In free energy calculation, thermodynamics integration, which is alternative to free energy perturbation has generated some steam recently. This post is a brief introduction to this method. Free energy is a state funct... |
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if f(x) = { 3-x2 , -1[_x[_2
{ 2x-4 , 2[_x[_4 then find fof(x)and discuss the continuty and differentiability
3 years ago
Share
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5892 | # Thread: natural number divisible by 2004
1. ## natural number divisible by 2004
Hi all;
Prove that there's a natural number divisible by 2004 consisting only of zeros and sevens.
Help appreciated. Thank you.
2. Originally Posted by disclaimer
Hi all;
Prove that there's a natural number divisible by 2004 consist... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5893 | # hihocoder 2015ACM-ICPC 北京赛区 Problem A. Xiongnu's Land
Description
Wei Qing (died 106 BC) was a military general of the Western Handynasty whose campaigns against the Xiongnu earned him great acclaim. He was arelative of Emperor Wu because he was the younger half-brother of Empress WeiZifu (Emperor Wu's wife) and th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5894 | Question
What is the approximate sound intensity level in decibels of a 600-Hz tone if it has a loudness of 20 phons? If it has a loudness of 70 phons?
20 phons @ 600 Hz => 22 dB
70 phons @ 600 Hz => 70 dB
Solution Video
OpenStax College Physics Solution, Chapter 17, Problem 63 (Problems & Exercises) (1:19)
View s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5895 | # The indecomposable projective A-modules
Let Q be the quiver
bound by $αβ = 0$, $γδ = 0$. The indecomposable projective A-modules are given by
where $A=KQ/I$. This an example in Assem-Simson-Skowronski book (Elements of the representation theory of the representation theory of finite dimensional algebras Part 1), p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5897 | Subjects -> MATHEMATICS (Total: 1100 journals) - APPLIED MATHEMATICS (88 journals) - GEOMETRY AND TOPOLOGY (23 journals) - MATHEMATICS (812 journals) - MATHEMATICS (GENERAL) (43 journals) - NUMERICAL ANALYSIS (24 journals) - PROBABILITIES AND MATH STATISTICS (110 journals) MATHEMATICS (812 journals) ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5899 | MathSciNet bibliographic data MR2787901 65C30 (34K20 60H10 60H20 60H35) Hu, Peng; Huang, Chengming Stability of stochastic $\theta$$\theta$-methods for stochastic delay integro-differential equations. Int. J. Comput. Math. 88 (2011), no. 7, 1417–1429. Article
For users without a MathSciNet license , Relay Station allo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5900 | # Elemantary algebra
• Aug 20th 2008, 05:16 AM
puneet
Elemantary algebra
Q) Geometrically represent {-5,7,3} x {-1,1)
Ans) Is this {(-5,-1),(-5,1),(7,-1),(7,1),(3,-1),(3,1)}
OR
i represent it in 3*2 dimentional space.
• Aug 20th 2008, 11:52 PM
CaptainBlack
Quote:
Originally Posted by puneet
Q) Geometrically represe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5901 | User richard - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T22:49:11Z http://mathoverflow.net/feeds/user/23424 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/124219/almost-prime-elements-in-perfect-hahn-field "almost prime" elements in perfect Hahn field R... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5889 | # Maximize $\det X$, subject to $X_{ii}\leq P_i$, where $X>0$
Given $$P_1,P_2,\cdots,P_N$$.
$$\begin{array}{ll} \text{maximize} & \det X\\ \text{subject to} & \mathrm X_{ii}\leq P_i \\\forall i=1,2,\cdots,n\end{array}$$
$$X\in\mathbb{R}^{n\times n}$$, $$X>0$$ (i.e. positive definite).
For $$n=2$$, maximum is achiev... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5898 | Expectations
A game costs \$150 to play. In this game, you roll a fair six-sided die repeatedly until each of all the six numbers has been rolled at least once. You are then paid 10 times the number of rolls you made.
For example, if the rolls were 3, 5, 4, 3, 2, 5, 1, 4, 1, 3, 6, then you would get $(10)(11) = 110$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5902 | # What is the heuristic 'integration by parts' in computing $\int_{\mathbb R} x e^{ix\xi} d\xi = 0$?
This question is about heuristics to understand with the tempered distribution given by the oscillatory integral $$\int xe^{ix\xi} d\xi$$ (all integrals are over $$\mathbb R$$). Source is M. Zworski's Semiclassical Ana... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5903 | S Chapter Contents
S Chapter Introduction
NAG Library Manual
# NAG Library Routine DocumentS19AQF
Note: before using this routine, please read the Users' Note for your implementation to check the interpretation of bold italicised terms and other implementation-dependent details.
## 1 Purpose
S19AQF returns an arr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_5896 | How many combinations can you make with the numbers 1,2,3?
Mar 28, 2018
See a solution process below:
Explanation:
The first number in the combination can be any 1 of the 3 number.
The second number can be either of the 2 remaining numbers.
For the final number you would have only 1 choice.
Therefore, the number... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3713 | Beta Function (Beta Function) (G Dataflow)
Evaluates the beta function.
x
The first argument of the beta function. x must be nonnegative.
Default: 0
y
The second argument of the beta function. y must be nonnegative.
Default: 0
error in
Error conditions that occur before this node runs.
The node responds to th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3714 | # The greatest value of on the interval is a) b) c) d)
## Question ID - 100021 :- The greatest value of on the interval is a) b) c) d)
3537
(b)
We have,
for all
is increasing on
is the greatest value of
Now,
Next Question :
Let be non-zero real numbers such that Then, the quadratic equation has a) No r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3715 | Determine x + y
anemone
MHB POTW Director
Staff member
The real numbers $$\displaystyle x$$ and $$\displaystyle y$$ satisfy $$\displaystyle x^3-3x^2+5x-17=0$$ and $$\displaystyle y^3-3y^2+5y+11=0$$. Determine the value of $$\displaystyle x+y$$.
MarkFL
Staff member
Let $$\displaystyle z=x+y$$ and so the first equati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3716 | location: Publications → journals → CMB
Abstract view
# Ternary Quadratic Forms and Eta Quotients
Published:2015-07-13
Printed: Dec 2015
• Kenneth S. Williams,
Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6
Format: LaTeX MathJax P... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3719 | # Given a series defined by recursion. Prove that there are integers $S$ and $T$ such that $a_{n+1} = S a_n + T a_{n-1}$
I have this problem from an old exam that I can't solve.
Let $$\{a_i\}_{i \geq 0}$$ be the series define by recursion as:
$$a_0 = 2$$
$$a_1 = 3$$
$$a_{n+1} = \frac{a_n^2 +5}{a_{n-1}}$$ , $$\fora... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3720 | # User:Ageary/Chapter 11
Series Problems-in-Exploration-Seismology-and-their-Solutions.jpg Geophysical References Series Problems in Exploration Seismology and their Solutions Lloyd P. Geldart and Robert E. Sheriff http://dx.doi.org/10.1190/1.9781560801733 ISBN 9781560801153 SEG Online Store
## 11.1 Salt lead time as... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3721 | # How can I write the given statement using mathematical symbols
How do I write this in mathematical symbols: "Result is equal to the sum of product of $a(i)$ and $b(j)$ when $i,j$ are natural numbers and satisfy the property $i+j = k$"?
I forgot to add one more constraint that :
i and j are in the range [0,n] k is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3722 | # Unbounded Functionals in the Calculus of Variations. Representation, Relaxation, and Homogenization
Mathematical modelling of stationary problems often leads to minimising energy functionals of the type F(Ω, u) = ∫Ω f(x, ∂u) dx. In standard situations, the functional is locally bounded and lower semicontinuous in so... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3723 | # Evaluate the following definite integrals: ∫-231x+5⋅dx - Mathematics and Statistics
Sum
Evaluate the following definite integrals: int_(-2)^3 (1)/(x + 5)*dx
#### Solution
Let I = int_(-2)^3 (1)/(x + 5)*dx
= [log |x + 5|]_(-2)^3
= [log |3 + 5| – log |–2 + 5|]
= log 8 – log 3
∴ I = log(8/3).
Is there an error in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3724 | ## Reading the Comics, February 8, 2020: Delta Edition
With this essay, I finally finish the comic strips from the first full week of February. You know how these things happen. I’ll get to the comics from last week soon enough, at an essay gathered under this link. For now, some pictures with words:
Art Sansom and C... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3725 | # How heavy each of these 7 creatures weights?
I was thinking about creating some riddle for TED-ED and somehow I came up some math riddle something like that:
"A group of seven creatures weights together 1000 kg, the largest one and second smallest one weights same as one larger than smallest one and second one smal... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3726 | # What is the most efficient way to open glass curtains
This question originated from a real life problem. It has to do with a certain system of sliding glass panels used to close a terrace. Describing exactly how it works would take a long time, so here is a youtube video showing the concept: https://www.youtube.com/... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3727 | # Factor theorem
## Factor theorem
$f(x)=2x^3-7x^2+4x+4$
(a) Use the factor theorem to show that (x-2) is a factor of f(x).
(b) Factorise f(x) completely.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3718 | # How to determine Uniformly most powerful test?
In practice, how do you find the uniformly most powerful test? Would you essentially brute-force all possible hypothesis tests?
Could we prove that there exists a uniformly most powerful test and the one that we are using is sub-optimal?
For a case of testing simple h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3712 | # Weak LLN holds but strong LLN fails
Show there exist independent random variables $$\{X_n\}$$ with $$X_n\in\{-n, n, 0\}$$, $$\mathbb{E}(X_n)=0$$, and $$Y_n=\tfrac{1}{n}\sum_{k=1}^nX_k$$ for all $$n$$, $$\mathbb{P}(|Y_n|\ge\epsilon)\to 0$$ for all $$\epsilon>0$$, and $$\mathbb{P}(Y_n\to 0)<1$$.
$$\mathbb{E}(X_n)=0$$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3717 | # Homework Help: Every unctble set of R contains a lim pt in R
1. Oct 14, 2008
### Unassuming
Every unctble set of R contains a lim pt in R.
I have assumed it has no lim points and reached the conclusion that this uncountable set has uncountable disjoint sets. Where is my contradiction?
2. Oct 14, 2008
### Dick
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4144 | LaTeX forum ⇒ General ⇒ Revtex4-1 and caption title problem Topic is solved
LaTeX specific issues not fitting into one of the other forums of this category.
Cham
Posts: 885
Joined: Sat Apr 02, 2011 4:06 pm
Revtex4-1 and caption title problem Topic is solved
I'm getting this error message in the console during compi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4147 | The initial size of the fund is S0. discounted at the risk-free interest rate. University. By using Investopedia, you accept our, Investopedia requires writers to use primary sources to support their work. "Black-Scholes Formula." You can learn more about the standards we follow in producing accurate, unbiased content ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4148 | # Type theory
Last updated
In mathematics, logic, and computer science, a type theory is the formal presentation of a specific type system, and in general type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4149 | # Math Help - Solve for A
1. ## Solve for A
A= [(6.5+6.5√3)(6.5√3)]/2
How would you solve this? I'm having trouble...could someone show the steps? I keep getting a different answer than what's in the book. Thanks.
2. ## Re: Solve for A
Originally Posted by eleventhhour
[(6.5+6.5√3)(6.5√3)]/2
How would you solve t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4150 | # Finding the solution set for equations
Given an equation: $3x-4y=-1$, if I set $x=t$, and solve for $y$, I end up with $y = {1 \over 4} + {3 \over 4}t$ and the solution set is $[{1 \over 4} + {3 \over 4}t, t]$
Similarly if my equation is $x_{1} - x_{2} - 2x_{3} = 3$ and I set $x_{2}=s, x_{3} = t$, and solve for $x_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4151 | # NEET Chemistry The Solid State Questions Solved
Silver metal crystallises with a face centred cubic lattice. (5 marks)
The length of the unit cell is found to be 3.0 10–8 cm.
Calculate atomic radius and density of silver.
(Molar mass of Ag = 108 g mol–1, NA = 6.02 x 1023 mol–1). |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4152 | # existence of adjoints of bounded operators
Let $\mathscr{H}$ be a Hilbert space and let $T:\mathscr{D}(T)\subset\mathscr{H}\longrightarrow\mathscr{H}$ be a densely defined linear operator.
Theorem - If $T$ is bounded (http://planetmath.org/ContinuousLinearMapping) then its adjoint $T^{*}$ is everywhere defined and ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4153 | # Path integral formulation
(Redirected from Feynman path integral)
The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. It replaces the classical notion of a single, unique trajectory for a system with a sum, or functiona... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4154 | Sales Toll Free No: 1-855-666-7446
# Constructive Interference
Top
Sub Topics The particle nature of light is well known and has important applications. There are two accepted behaviors of light to explain the dual nature of light. In some cases, light acts like a particle and in others, it acts like a wave. The pro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4155 | Questions >> CBSE XI >> Math >> Sets
Comment
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Q)
# Write the following sets in roster form : The set of all letters in word TRIGONOMETRY
$\begin{array}{1 1}(A)\;E=\{T,R,I\}\\(B)\;E=\{T,R,I,G,O,N,M,E,Y\}\\(C)\;E=\{R,I,G\}\\(D)\;E=\{T,R,I,G,O,N,M\}\end{array}$
$E=\{T,R,I,G,O,N,M,E,Y\}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4156 | # Orthogonal Polynomials and Sturm Liouville operators
Classical Orthogonal polynomials (e.g., Hermite, Legendre) are eigenfunctions of Sturm Liouville operators. For example, define $$L[u]=u''-xu'$$, then the $$n$$-th order Hermite polynomial satisfies $$LH_n (x) = -nH_n (x)$$.
The only proof of this miracle that I ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4158 | ## anonymous one year ago Given: AB = CE CD = EF Prove: AB = DF Statement: AB = DF Reason: Substitution Property of Equality Statement: DE = DE Reason: Subtraction Property of Equality Statement: CE = DF Reason: Transitive Property of Equality Statement: CD = DE Reason: Substitution Property of Equality Statement: CE =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4159 | Public Group
# Math Circle Help
This topic is 2772 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
I am trying to arrange bricks in a circular manner. I pretty much am taking the width of the brick image and dividing that by the hypo which is... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4157 | # Math Help - [SOLVED] Collision of particles - coefficient of restitution
1. ## [SOLVED] Collision of particles - coefficient of restitution
If there is a particle X of mass 3m which is moving with velocity Ui on a smooth horizontal table and it collides with a particle Y of mass 5m which is at rest (and we are give... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4145 | location: Publications → journals → CMB
Abstract view
# An Asymptotic Bound on the Composition Number of Integer Sums of Squares Formulas
Published:2011-07-08
Printed: Mar 2013
• P. Hrubeš,
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA
• A. Wigderson,
School of Mathematics, Institute ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_4146 | # Vector space of functions $\mathbb{R}\rightarrow\mathbb{R}$
Let $V$ be the vector space of functions $\mathbb{R}\rightarrow\mathbb{R}$ and $W$ the subspace generated by the functions $f_1=\cos(x),f_2=\sin(x),f_3=\sin(2x)$. For $k=1,2,3$ let $\phi_k\in W^*$ with $\phi_k(f)=f((k-1)\pi/4)$. Then $f_1,f_2,f_3$ form a ba... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10577 | # The number of ways in which n different prizes can be distributed among $m$ people such that each can get at most $(n-1)$ prizes
The correct answer for this question is $m^n-m$ and it is found out by subtracting the number of ways in which one person receives all the prizes from the total number of ways of distribut... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10578 | # How do you solve the equation -3/5x^2-2=-5?
Feb 13, 2017
See the entire solution process below:
#### Explanation:
First, add $\textcolor{red}{2}$ to each side of the equation to isolate the ${x}^{2}$ term while keeping the equation balanced:
$- \frac{3}{5} {x}^{2} - 2 + \textcolor{red}{2} = - 5 + \textcolor{red}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10580 | # definition of the second derivative
## Recommended Posts
Is it possible to define the second derivative of f(x) in this way:
$f''(x) = \frac{f(x+2dx) -2(f+dx) + f(x)}{(dx)^2}$
I am using a finite difference approximation called "Second order forward" from the link, I use dx instead of h:
Edited by 113
##### Shar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10581 | # How do you solve abs(x + 4)<= -24?
##### 1 Answer
May 24, 2015
You don't need to salve it. It is easily impossible.
This is because an absolute value can't be less or equal to a negative number! |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10582 | # SAT Prep
## Educators
### Problem 16
Number of Adults Contracting Colds
$$\begin{array}{|c|c|c|c|}\hline & {~ C o l d ~} & {\text { No cold }} & {\text { Total }} \\ \hline \text { Vitamin C } & {21} & {129} & {150} \\ \hline \text { Sugarpill } & {33} & {117} & {150} \\ \hline \text { Total } & {54} & {246} & {30... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10584 | # Arabian Journal of Mathematics
## List of Papers (Total 204)
#### Generalized Weyl’s theorem and property (gw) for upper triangular operator matrices
It is known that if $$A\in \mathscr {L}(\mathscr {X})$$ and $$B\in \mathscr {L}(\mathscr {Y})$$ are Banach operators with the single-valued extension property, SVEP,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10586 | ### - Art Gallery -
In a general sense, an alternative set theory is any of the alternative mathematical approaches to the concept of set and an alternative to standard set theory.
Some of the alternative set theories are: [1]
Von Neumann–Bernays–Gödel set theory
Morse–Kelley set theory
Tarski–Grothendieck set theor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10587 | Lemma 66.42.2. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$.
1. If $f$ is quasi-separated and universally closed, then $f$ satisfies the existence part of the valuative criterion.
2. If $f$ is quasi-compact and quasi-separated, then $f$ is universally closed if and only if the exi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10588 | # high freq cutoff beta
Discussion in 'Homework Help' started by stupid, Mar 25, 2010.
1. ### stupid Thread Starter Active Member
Oct 18, 2009
81
0
hi,
could someone provide guidance or idea for a start?
the question is to find an expression for β cutoff frequency Fb which is simply a high freq current gain cutoff ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10589 | # Stone-Čech compactification of $\mathbb R$
Let $\beta X$ - is a Stone-Čech compactification of $X$. $I=(-1,1)$ - is an interval of the real line. Is it true that $\beta \mathbb R\setminus I = \beta(\mathbb R\setminus I)$? In other words, it means that a finite interval does not affect on the "compactification of inf... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10590 | # Electrical Potential between 2 points
Mentor note: Member warned about posting a question without the template
1. Find the electrical potential between A and B given that R1=R2=R4=100 Ohms; Power dissipated by R3 is 200 mW at 9 Volts
[ code ]
A---------R1-----------*-------------------
| |
R2 R3
| |
B---------R4---... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10576 | Help with a formula
I am working to determine what the temperature loss (minimal at best) would be by mixing a stream of water flowing at 2,400 gph at 85 degree (f) into another stream of water flowing at 37,000 gph. Any help would be great
Redbelly98
Staff Emeritus
Homework Helper
Do you mean you just need the final... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10579 | A-priori bound on parabolic PDE that doesn't depend on end time - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T21:40:56Z http://mathoverflow.net/feeds/question/103528 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/103528/a-priori-bound-on-parabolic-pde-tha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10583 | Question
# $A,B,C,D$ and $E$ play a game of cards $A$ says to $B$, "If you give me three cards, you will have as many as $E$ has and if I give you three cards, you will have as many as $D$ has. $A$ and $B$ together have $10$ cards more than what $D$ and $E$ together have If $B$ has two cards more than what $C$ has and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10591 | ## Tuesday, 14 July 2020
### Quick wins from Direct Instruction: Dimensions of Difficulty
This post was inspired by an episode of the Craig Barton podcast with Kris Boulton. Kris was acting as a salesman for Engelmann's Direct Instruction, but he didn't seem to have much to offer when Craig asked him for Direct Instr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10585 | # Different definitions of subnet
I encountered two different definitions of subnet. The first is
Let $$(I, \preceq_I ), (J,\preceq_J )$$ be two directed sets and $$X$$ be the underlying set.$$\{ \eta_j \}_{j \in J}$$ is a subnet of $$\{ \xi_i \}_{i \in I}$$, if there exists a function $$\phi: J \to I$$ such that (1)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12656 | # Tag Info
Questions about the famous conjecture from Riemann saying that the non-trivial zeroes of the Riemann Zeta function all lie on the so-called critical line $\Re(s)=\dfrac{1}{2}$, its various generalizations and the different approaches towards its solution. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12657 | ## Intermediate Algebra for College Students (7th Edition)
$\left\{x | 1 \lt x \le 6\right\}$ Refer to the attached image below for the graph.
An bracket on the left means that 1 is not included in the set. A parenthesis on the right means that 6 is included in the set. Therefore. the set-builder form of the given int... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12658 | Translator Disclaimer
VOL. 55 | 2009 Lagrangian fibrations and theta functions
Yuichi Nohara
Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose
## Abstract
It is known that holomorphic sections of an ample line bundle $L$ (and its tensor power $L^k$) on an Abelian variety $A$ are given b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12659 | The area of triangle ABC and show that it is a right triangle using the converse of Pythagoras theorem.
Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learnin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12660 | # Pressure turning out to be zero?
I was studying for my freshman chemistry course, and ran into a mind-boggling contradiction.
We know, at equilibrium, entropy is at a maximum: $$\left(\frac{\partial S}{\partial V}\right)_U=0$$
From the first law
$$dU=TdS-pdV$$
$$\left(\frac{\partial U}{\partial S}\right)_V=T$$
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12661 | ### Mathematics - Theory of Equations
#### Question - 1
If ∝,β are the roots of equation ax2+bx+c=0 such that β<∝<0 ,then the quadractic equation whose roots are |∝|,|β| is given by
• A $|\alpha |{ x }^{ 2 }+|b|x+|c|=0$
• B $a{ x }^{ 2 }-|b|x+|c|=0$
• C $|a|{ x }^{ 2 }-|b|x+|c|=0$
• D $a|{ x| }^{ 2 }-|b|x+|c|=0$
##... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12662 | # Finding temperature coefficient of resistivity of the alloy
1. Feb 18, 2016
### Searay330
Suppose a wire made from an unknown alloy and having a temperature of 20.0°C carries a current of 0.529 A. At 52.4°C the current is 0.378 A for the same potential difference. Find the temperature coefficient of resistivity of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12663 | • # question_answer $\tan \alpha +2\tan 2\alpha +4\tan 4\alpha +8\cot \,8\alpha =$ [IIT 1988; MP PET 1991] A) $\tan \alpha$ B) $\tan 2\alpha$ C) $\cot \,\alpha$ D) $\cot \,2\alpha$
$\tan \alpha +2\tan \,\,2\alpha +4\tan \,\,4\alpha +8\cot \,8\alpha$ $=\tan \alpha +2\tan \,2\alpha +4\left[ \frac{\sin 4\alpha }{\cos 4\a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12664 | # Find $\sum_{i=0}^{\log n} \frac{1}{2^i}$
I'm not really sure how to solve summations, so any help would be great. In particular, I had thought that $n^2\sum_{i=0}^{\log n} \frac{1}{2^i}=O(n^2\log n)$ but it's actually $O(n^2)$, and I'm trying to make sure that I don't make that mistake again. Are there any resources... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12666 | ## Abstract
We present a large-scale comparison of five multidisciplinary bibliographic data sources: Scopus, Web of Science, Dimensions, Crossref, and Microsoft Academic. The comparison considers scientific documents from the period 2008–2017 covered by these data sources. Scopus is compared in a pairwise manner with... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12668 | ## Stream: maths
#### Chris Hughes (Dec 23 2019 at 13:35):
Is this actually not in the library? library_search fails.
import ring_theory.integral_closure
example {R A : Type} [comm_ring A] [comm_ring R] [algebra R A] (S : subalgebra R A)
{x y : A} (hx : x ∈ S) (hy : y ∈ S) : x + y ∈ S := sorry
#### Johan Commelin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12669 | ## Direct Proofs
The following is the list of problems for Chapter 5 of the Book of Proof (page 110). There is a forum open at the end, so you can ask questions. It is a great way to interact with the instructor and with other students in your class, should you need some assistance with any question. Please, do not po... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12670 | [November 9, 2019]
A blog post led me to a paper, “Extending the Algebraic Manipulability of Differentials”, which makes a useful point about the notation we use for derivatives. This is a brief summary so I don’t forget it.1
Observation: the derivative operator $\frac{d}{dx}$ can be decomposed into two steps: applyi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12671 | ## Calculus: Early Transcendentals 8th Edition
a) $-\dfrac{\sqrt z}{(1+y)^2}i-\dfrac{\sqrt x}{(1+z)^2}-\dfrac{\sqrt y}{(1+x)^2}$ b) $\dfrac{1}{2 \sqrt x(1+z)}+\dfrac{1}{2 \sqrt y(1+x)}+\dfrac{1}{2 \sqrt z(1+y)}$
a) Consider $F=A i+B j+C k$ Then $curl F=\begin{vmatrix}i&j&k\\\dfrac{\partial}{\partial x}&\dfrac{\partial... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12665 | Solve for unknown matrix
1. Aug 2, 2007
tapashettisr
I have an equation as follows:
A*Q*B=C
Here A is 2X4 known matrix
Q is a 4X4 unknown matrix
B is a 4X2 known matrix
C is a 2X2 known matrix
How can I solve for unknown matrix Q;
2. Aug 2, 2007
D H
Staff Emeritus
You have 4 equations in 16 unknowns. Whatever Q ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_12667 | # Equal coefficients
\begin{align} (1008x + 1009)^2 &= 1,016,064x^2 + 2,034,144x + 1,018,081 \\ (1008x + 1009)^3 &= 1,024,192,512x^3 + 3,075,625,728x^2 + 3,078,676,944x + 1,027,243,729 \\ &\vdots \end{align}
What is the smallest positive integer $$n$$ for which the expansion of $$(1008x + 1009)^n$$ has two successive... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14738 | ## Exercise
Solve the following equation. $\text{-} \dfrac{5}{2}=\dfrac{3}{4}z+\dfrac{1}{2}$
$z=\text{-}4$
## Solution
To solve the equation, we need to transfer the $z$ terms to one side and the constant terms to the other.
$\text{-} \dfrac{5}{2}=\dfrac{3}{4}z+\dfrac{1}{2}$
$\text{-} \dfrac{6}{2}=\dfrac{3}{4}z$
$\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14739 | # Goodness of fit test - overview
This page offers structured overviews of one or more selected methods. Add additional methods for comparisons by clicking on the dropdown button in the right-hand column. To practice with a specific method click the button at the bottom row of the table
Goodness of fit test
Kruskal-W... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14740 | B. Micro-World
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
You have a Petri dish with bacteria and you are preparing to dive into the harsh micro-world. But, unfortunately, you don't have any microscope nearby, so you can't watch them.
You know that yo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14741 | Schreiber quantomorphism 3-group of 3d Spin-Chern-Simons theory
Contents
This is a sub-entry of ∞-geometric prequantization.
Contents
Definition
Let $\frac{1}{2} \hat \mathbf{p}_1 : \mathbf{B}Spin_{conn} \to \mathbf{B}^3 U(1)_{conn}$ the universal Chern-Simons circle 3-bundle with 3-connection, in $\mathbf{H} =$ S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14742 | # selector
Let $S$ be a collection of sets. A selector of $S$ is by definition a set $\{f(R)|R\in S\}$ where $f$ is a choice function on $S$ (that is $f(R)\in R$).
There is a different selector of $S$ for every choice function $f$.
Title selector Selector 2013-03-22 16:35:46 2013-03-22 16:35:46 porton (9363) porton ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14743 | # please help with 35, 36, 40, 47 Show transcribed image text Taylor polynomials centered at a notequa
Show transcribed image text Taylor polynomials centered at a notequal 0 Find the nth-order Taylor polynomials for the following functions centered at the given point a, for n = 0, 1, and 2. Graph the Taylorpolynimial... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14744 | My Math Forum Alpha/Beta and Beta/Alpha (quadratic roots)
Algebra Pre-Algebra and Basic Algebra Math Forum
August 4th, 2013, 09:22 PM #1 Member Joined: Jul 2013 Posts: 58 Thanks: 0 Alpha/Beta and Beta/Alpha (quadratic roots) If Alpha and Beta be the roots of the equation 2x^2-6x+5=0 , find the equation whose root... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14745 | # Equality and Fraternity
1. Consider the "equation" $6145 - 1 = 6143$. Can you move two digits so as to create a valid equality?
2. The equation $-127=-127$ is, of course, true. Suppose you were told again to move two digits as to leave a valid equation. Please note that you have to move two digits on the same side o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14746 | # If a 12-V battery delivers 100 J in 5 s
If a 12-V battery delivers 100 J in 5 s, find (a) the amount of charge delivered and (b) the current produced. |
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