content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Boltzmann constant
The Boltzmann constant (k[B] or k), named after Ludwig Boltzmann, is a physical constant relating energy at the individual particle level with temperature. It is the gas constant R divided by the
Avogadro constant N[A]:
$k_\mathrm{B} = \frac{R}{N_{\rm A}}.\,$
It has the same dimension (energy d... | 4 | [
-0.06396484375,
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0.04541015625,
0.0047607421875,
0.09375,
0.0036773681640625,
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0.00726318359375,
-0.0361328125,
-0.0234375,
0.013671875,
0.07568359375... | 42,400 | 42400 | |
Simplifing radical expressions
September 4th 2007, 05:29 PM #1
i need help on simplifying the radical expressions. i know the answers but do not know how to get them. help would be greatly appreciated.
1)square root(6x^2y^4) times (3x^5y)^1/2
2.(cube root(42c^4d^17)) / (6cd^11)^1/3
3.((6x^5y^7)^1/2 ... | 4 | [
0.0048828125,
-0.0625,
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0.0091552734375,
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0.0235595703125,
0.0108642578125,
0.039794921875,
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0.0615234375,
0.06982421875,
0.1591796875,
-0.1025390625,
0.083496093... | 42,401 | 42401 | |
continuous random variable help?
November 22nd 2009, 03:41 PM #1
Junior Member
Joined
Sep 2009
Posts
69
The monthly profit of Company I can be modeled by a continuous random variable with density function f . Company II has a monthly profit that is twice that of Company I. Determine the
probability d... | 5 | [
0.055419921875,
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0.012451171875,
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0.0625,
0.061279296875,
0.0247802734375,
0.00701904296875,
-0.0419921875... | 42,402 | 42402 | |
Is tensoring with a module representable iff it is locally free of finite rank?
up vote 5 down vote favorite
5
Motivation:
It's nice when you can think of the elements of an $A$-module $M$ as sections some $A$-scheme
$Y\to Spec(A)$. That is, maps $Spec(A)\to Y$ such that $Spec(A)\to Y \to Spec(A)$ is the identity.
W... | 4 | [
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0.0311279296875,
0.052734375,
0.10205078125,
0.024658203125,
0.0791015625,
-0.014953... | 42,403 | 42403 | |
Lecture S
EE 213
Basic Circuit Analysis II
... | 4 | [
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-0.0090... | 42,404 | 42404 | |
Finding the Constants in partial fractions
Find constants A, B, and C such that: 1/(x^3 - x) = A/(x-1) + B/(x) + C/(x+1) Thanks
Note: 1/(x^3 -x)=1/x(x^2 - 1) = 1/x(x+1)(x-1) = A/(x-1) + B/x + C/(x+1) The Lcm of A/(x-1) + B/x + C/(x+1) is x(x+1)(x-1), so we can rewrite A/(x-1) + B/x + C/(x+1) as [A(x^2 + x) + B(x^2 -1)... | 5 | [
-0.08056640625,
0.047607421875,
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0.0272216796875,
-0.0012359619140625,
-0.00186920166015625,
0.037353515625,
0.0385742187... | 42,405 | 42405 | |
Mean Value Theorem
Date: 04/18/99 at 12:50:08
From: Matt Porter
Subject: AP Practice Test
We are in the process of practicing for the AP practice test. We
starred questions that we didn't know and asked our teacher about
them. Most, he said he still needed to teach us. Some he helped us
with, but one we all didn't g... | 4 | [
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0.0125732421875,
0.031982421875,
-0.0279541015625,
-0.00543212890625,
-0.0290... | 42,406 | 42406 | |
SAT Geometry Questions
October 8th 2010, 03:33 PM
bballkydd24
SAT Geometry Questions
Hi I am really stuck on these SAT geometry problems which is my weakest topic and kills me every time. Anyways I do not know how to solve this problem, please show how to attack step by step:
1. If Jack's house is 7.1 miles... | 4 | [
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-0.10449... | 42,407 | 42407 | |
Need help re-arranging an equation!
June 18th 2012, 10:44 PM #1
Junior Member
Joined
Jun 2012
From
Australia
Posts
36
Need help re-arranging an equation!
Hey all I need some help re-arranging this equation so I can find z here it is:
also is w^2/wn^2 the same as (w/wn)^2? so I could replace w^2/... | 4 | [
-0.06640625,
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0.1064453125,
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0.0128173828125,
... | 42,408 | 42408 | |
Maths B question
May 1st 2013, 04:20 PM #1
Newbie
Joined
May 2013
From
Australia
Posts
4
Maths B question
The operators of the ferris wheel would like to inject some more excitement into their rides and would like to increase the number of revolutions per minute . Their experience tells them that
... | 4 | [
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0.001495361328125,
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0.02490234... | 42,409 | 42409 | |
Calculating Percentile Ranks
Calculating Percentile Ranks
Looks like I've had this wrong in my head for a while now.
Let k be the percentile rank in question, divided by 100, let S be the data set in question, and let N be the number of readings in S, i.e. N = #(S).
Vic and I were saying this afternoon that in the ... | 4 | [
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0.05517578125,
-0.01721191... | 42,410 | 42410 | |
Cohomology of the general linear group on punctured spectra of 2-dim. power series rings
up vote 1 down vote favorite
1
Let $(A,\mathfrak{m})=k[[x,y]]$ with $char(k)=0$ and $K=Quot(A)$. Set $X=Spec(A)$, $U=Spec(A)\backslash \lbrace \mathfrak{m} \rbrace$ the pointed spectrum. Furthermore given an $A$-algebra $B$, which... | 4 | [
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Factor & Simplify
November 29th 2008, 07:11 PM #1
Junior Member
Joined
Sep 2008
Posts
30
Factor & Simplify
I'm confused on how you solve this problem D;
I don't know how to get the answer into a fraction without negative exponents.
Help?
$-4x (3x - 2)^-4/3 + 4(3x - 2)^-1/3$
-4x (3x - 2)... | 4 | [
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Understanding Rectangle Area and Perimeter
Date: 11/08/2002 at 16:50:32
From: Mark
Subject: Area
Dear Dr.Math,
I am a sophmore in high school and we are reviewing area and
perimeter. My teacher gave us a problem and told us to prove it true
or false. I know that the answer is false, but I need help
understanding and... | 4 | [
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0.033203125,
0.09326171875,... | 42,413 | 42413 | |
SPIHT image codec
IEEE Transactions on Circuits and Systems for Video Technology, Vol. 6, June 1996
A New Fast and E cient Image Codec Based on Set Partitioning in Hierarchical Trees
Faculty of Electrical Engineering, P.O. Box 6101 State University of Campinas (UNICAMP), Campin... | 4 | [
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-0.08056640625,
0.053710937... | 42,414 | 42414 | |
Math Help
November 27th 2010, 10:31 AM #1
Junior Member
Joined
Dec 2009
Posts
51
Velocity
I can't solve this exercise, it's intended for ~13 year olds, so you can't use rational equations.
Here it is: A motor boat swam 45 km in the river in 3 hours, and back in 5 hours.
a) what is the speed of t... | 4 | [
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0.... | 42,415 | 42415 | |
Complex number
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 00-XX [MSN][ZBL]
A complex number is a number of the form $z=x+iy$, where $x$ and $y$ are real numbers (cf. Real number) and $i=\def\i{\sqrt{-1}}\i$ is the so-called imaginary unit, that is, a number whose square is
eq... | 4 | [
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-0.020751... | 42,416 | 42416 | |
Calculation Tips & Tricks
From the Archives of the Math Forum's Internet project Ask Dr. Math - our thanks to Ethan 'Dr. Math' Magness, Steven 'Dr. Math' Sinnott, and, for the explanation of why these rules work, Robert
L. Ward (Dr. Rob).
Add up the digits: if the sum is divisible by three, then the nu... | 4 | [
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... | 42,417 | 42417 | |
Algebra, Problems For Fun (9)
May 22nd 2009, 05:27 AM
NonCommAlg
Algebra, Problems For Fun (9)
Let $G$ be a group and suppose there exists $n \geq 1$ such that the map $g \mapsto g^n$ is an automorphism of $G.$ Prove that $g^{n-1} \in Z(G)$ for all $g \in G.$
May 23rd 2009, 04:28 AM
Swlabr
Note that $\phi... | 5 | [
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0.07373046875,
-0.0255126953125,
-0.016845703125,
-0.0727... | 42,418 | 42418 | |
Fibonacci Sequence
Date: 01/29/2001 at 22:05:04
From: Alisha Winters
Subject: Fibonacci Sequence
I'm taking a class for teaching math to elementary students, and we
did a problem with the Fibonacci sequence. Afterward our teacher
challenged each of us to find out if there is a formula to find the
first "n" terms of ... | 5 | [
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-0.0346... | 42,419 | 42419 | |
In Zeno’s footsteps
The latest issue of American Scientist is just out, both on the newsstand and on the web. My “Computing Science” column is titled “Wagering with Zeno”; it returns to a subject mentioned briefly in an
earlier column, “Follow the Money.”
Consider a random walk on the interval (0,1), where the walker... | 4 | [
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0.06884765625,
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-0.00399780273437... | 42,420 | 42420 | |
Eigenvectors and transition matrix of markov chains.
Consider a Markov chain { $X_n : n = 0,1,2,...$} with states $S=(1,2)$ and transition matrix
$P= \begin{pmatrix} \frac{1}{4} & \frac{3}{4} \\ \frac{1}{2} & \frac{1}{2} \end{pmatrix}$
Let $\mathbf{x}$ be a vector such that $\mathbf{x}P= \mathbf{x}$
... | 4 | [
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-0.0339355468... | 42,421 | 42421 | |
Nielsen-Schreier theorem
Context
Group Theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Contents
Statement
Theorem
(Nielsen–Schreier theorem)
Every subgroup $H$ of a discrete free group $G$ is itself a free group. Mo... | 4 | [
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0.02062... | 42,422 | 42422 | |
please explain how to evaluate the indefinite integral `int sin^3(6theta)d theta` using u-substitution - Homework Help - eNotes.com
please explain how to evaluate the indefinite integral `int sin^3(6theta)d theta` using u-substitution
You need to evaluate the indefinite integral, using substitution, such that:
`cos... | 5 | [
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0.040283203125,
-0.0001811981201171875,
-0.08984375,
... | 42,423 | 42423 | |
Psychophysical Laws
Lab Session III: Psychophysical Laws
Background:
1. Purpose and Goals
a. To illustrate how different people have described the relationship between the physical world and our experience, i.e., illustrate differ... | 4 | [
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0.0849609375,
... | 42,424 | 42424 | |
Double Flooring It
Date: 09/04/2011 at 08:27:46
From: Senthil Kumar
Subject: Solving the limit problem with floor function in it
Evaluate
Limit (1/n) Sigma (k = 1 to n) [floor(2n/k) - 2 * floor(n/k)]
n -> infinity
I tried expressing the floor function as a 'mod' function using the
relation
n mod k... | 5 | [
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0.01202392578125,
0.0678710937... | 42,425 | 42425 | |
Standard Taylor series
June 12th 2012, 01:27 AM #1
Question is: Using a standard Taylor series, write down the Taylor series about 0 for the function
f(x) = ln(1 − x),
giving all terms up to and including that include x^4
Now, Standard Taylor series of ln(1+x), I understand, is;
ln(1+x) = x - (1/... | 4 | [
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-0.1215820... | 42,426 | 42426 | |
Can the cross-section (x-section) be removed from the Ax-Kochen proof in "Diophantine problems over local fields"?
up vote 2 down vote favorite
1
I am actually not reading the original paper "Diophantine problems over local fields, I (1965)" by Ax and Kochen but the revised version " The model theory of local fields (... | 4 | [
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-0.0179443359... | 42,427 | 42427 | |
Needed some hints to complete my solutions on geometry
September 13th 2005, 04:05 AM
totalnewbie
Needed some hints to complete my solutions on geometry
Drawing 1:
parallelogram
d1=40
d2=74
Find the area of the parallelogram of the drawing 1.
I got a= 51 and b=sqrt(937)
I am not able to fi... | 4 | [
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0.010... | 42,428 | 42428 | |
Mixing Humid Air
Calculating enthalpy, heat, temperature and specific humidity in mixing humid air
When mixing air of state A and C, the mixing point will be on the straight line in point B.
The position of point B depends on the air volume (or mass) of A and C.
The mixing process are indicated in a Mollier diagram ... | 5 | [
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-0.049560546875,
0.0971... | 42,429 | 42429 | |
[SOLVED] [Calculus]--Help with surface area of revolution please
March 11th 2008, 05:41 PM #1
[SOLVED] [Calculus]--Help with surface area of revolution please
Problem: The curve y=e^(-x), x>0 is revolvd about the xaxis. Does the resulting surface have finite or infinite area? [Remember tht you can sometimes decid... | 5 | [
-0.0001850128173828125,
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0.00689697... | 42,430 | 42430 | |
Principal ideal problem
March 22nd 2008, 02:18 PM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Principal ideal problem
Let I be a principal ideal of a domain R, say I = aR. Show that $I^{-1} = a^{-1}R$ and that I is invertible.
The inverse of I is the set of $I^{-1} = \{ u \in K : uI \subs... | 5 | [
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0.045166015625,
0.09521484375,
0.0196533203... | 42,431 | 42431 | |
Equation of a Line Tangent
January 15th 2008, 03:49 PM #1
Newbie
Joined
Jan 2008
Posts
4
Equation of a Line Tangent
How would you find an equation of the line tangent to f(x) = 2x^2 - 4 at teh point (3, 14) ?
If f(2) = 3 and f(prime)(2) = -1, what would be the tangent line when x = 2?
first fin... | 4 | [
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-0.... | 42,432 | 42432 | |
proof
To prove this you need to know the principal value of a complex exponential. $z^w=\exp(w\cdot\text{Log}(z))$ Recall that $\text{Log}(i)=\ln(1)+\frac{i\pi}{2}.$
Yes, i have no background about how to prove it so i want to know the proof in details ,if that ok.
I think i found the proof ,but i still have one more... | 5 | [
-0.0208740234375,
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0.09375,
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0.08740234375,
0.0164794921875,
0.0673828125,
-0.061767578125,
-0.00457763671875... | 42,433 | 42433 | |
Multiple Polynomial Quadratic Sieve
June 21, 2013
We’ll only hit the highlights here; see the next page for the full code.
We begin with the sieve function, which changes from the prior versions. We are back to a straight sieve, rather than a segmented sieve, both for clarity of code and also because the sieve is ve... | 4 | [
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0.00352478... | 42,434 | 42434 | |
Calculus Rhapsody
new lyrics by Mike Gospel and Phil Kirk
may ... | 4 | [
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-0.0233154296875,
-0.0306396484... | 42,435 | 42435 | |
Polygons at a Point
May 27th 2006, 10:53 PM #16
Newbie
Joined
May 2006
From
ontario
Posts
7
a scalene and isosceles triangle are also "regular" - don't tell me they aren't cause last yr in maths comp, a scalene was considered "regular" and i put it down as irregular and i got it wrong.
confused
... | 4 | [
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-0.0795898... | 42,436 | 42436 | |
nteractive
This is an interactive tutorial for the NESL parallel programming language. The emphasis of the tutorial is on features that support parallelism. The tutorial is organized as an introduction to NESL
followed by the following two examples and a brief comparison of the language to other parallel languages.
... | 5 | [
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0.07... | 42,437 | 42437 | |
What is dx?
Date: 08/25/2001 at 13:31:38
From: Michael Morse
Subject: dx
What does dx mean and where does it come from?
Thanks.
Date: 08/26/2001 at 06:10:56
From: Doctor Jeremiah
Subject: Re: dx
Hi Michael,
I assume by "dx" you mean the calculus version of dx.
Calculus is all about how to measure the slope of ... | 5 | [
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0.03515625,
-0.... | 42,438 | 42438 | |
Math Help
March 27th 2010, 10:57 AM #1
Newbie
Joined
Nov 2008
Posts
8
Hi everyone,
Is there a trig identity for combining
$<br /> sin(x)*sin(ax)<br />$
and if not, what's the best way to integrate this?
Thanks,
No there is no identity that I know of, the solution is to integrate b... | 5 | [
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0.048583... | 42,439 | 42439 | |
A quick GNU R tutorial to statistical models and graphics
http://how-to.linuxcareer.com/a-quick-gnu-r-tutorial-to-statistical-models-and-graphics
1. Introduction
In this quick GNU R tutorial to statistical models and graphics we will provide a simple linear regression example and learn how to perform such basic stati... | 5 | [
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-0... | 42,440 | 42440 | |
Homology Groups of T3
August 5th 2009, 01:33 PM #1
Junior Member
Joined
May 2008
Posts
37
Homology Groups of T3
Find the fundamental group and the homology groups of the 3-dimensional torus, T3 = S1 X S1 X S1.
The fundamental group preserves products, so it's Z X Z X Z right? The first homology grou... | 5 | [
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0.041259765625,
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0.0211181640625,
-0.0003986358642578125,
-0.1000... | 42,441 | 42441 | |
Tensor product of simple representations
up vote 3 down vote favorite
3
Let $G$ be a linear algebraic group over some field, and let $V$ and $W$ be two simple rational representations of $G.$ Is $V\otimes W$ semi-simple?
I was trying to convince myself that if $G$ has a faithful semi-simple representation, then $G$ i... | 5 | [
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0.00439453125,
0.0424804... | 42,442 | 42442 | |
Tangent to a parabola through a given point.
August 14th 2010, 03:56 PM #1
Junior Member
Joined
Dec 2009
Posts
49
Tangent to a parabola through a given point.
Hi guys
can you please help me with the following question
I really don't how to start with this question
Thanks
Last edited by ... | 4 | [
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MooTools Forge | Complex
Complex 0.1
Complex is a additional Type to deal with Complex Numbers in JavaScript. It provides several methods to add, multiply numbers as well as calculate the magnitude and angle in the complex plane.
Details
Author
Current version
0.1
GitHub
Downloads
1752
Category
Tags
Report
... | 4 | [
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0.037109375,... | 42,444 | 42444 | |
Equivalence relations and classes.
December 15th 2008, 04:29 AM #1
Equivalence relations and classes.
let n be a fixed non-negative integer, and define a relation ~ on the set of integers by setting a~b iff a-b is an integer multiple of n. Show that ~ is an equivalence relation and describe the
corresponding ... | 4 | [
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0.01129150390625,
-0.0184326171875,
0.03125,
0.056396484375,
-0.03... | 42,445 | 42445 | |
The Catenary
The statics of a hanging chain
The curve described by a uniform chain hanging from two supports in a uniform gravitational field is called a catenary, a name apparently coined by Thomas Jefferson. If the sag is mall, so that the
weight is about uniformly distributed, the curve is close to a parabola, a q... | 5 | [
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-0.019409179687... | 42,446 | 42446 | |
Need help with two dimensional heat equation with source
March 31st 2010, 11:04 AM #1
Newbie
Joined
Nov 2009
Posts
4
Need help with two dimensional heat equation with source
I have the following PDE
$PDE: u_t=A^2(u_xx+u_yy)+f(x,y,t)$ such that A is a constant
$BC: u_x(1,y,t)=0$
$u_x(0,y,t)=0... | 4 | [
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0.05517578125,
-0.077148... | 42,447 | 42447 | |
Solve f(x) = 2x^2 -x -15 by factoring. - Homework Help - eNotes.com
Solve f(x) = 2x^2 -x -15 by factoring.
Given the function f(x) = 2x^2 -x -15
We need to solve for x by factoring.
First we have a quadratic equation. Then we can simplify into two factor.
==> f(x) = 2x^2 -x -15
We will try and determine one of the... | 4 | [
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0.0498046875,
-0.0169677734375,
0.00... | 42,448 | 42448 | |
Traveling Salesman Problem _TSP_
Traveling Salesman Problem (TSP)
Input: undirected graph G=(V,E) , c: E → R+
Goal: find a tour (Hamiltonian cycle) of minimum
cost
Traveling Salesman Problem (TSP)
Input: undirected graph G=(V,E) , c: E → R+
Goal: find a tour (Hamiltonian cycle)... | 5 | [
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0.00106811... | 42,449 | 42449 | |
Splitting Fields - Dummit and Foote - Example - page 541 - x^p - 2, p prime
October 3rd 2013, 06:12 PM #1
Splitting Fields - Dummit and Foote - Example - page 541 - x^p - 2, p prime
I am reading Dummit and Foote Section 13.4 Splitting Fields and Algebraic Closures
In particular, I am trying to understand D&F... | 5 | [
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-0.10986328125,
-0.04... | 42,450 | 42450 | |
Closed subsets
October 15th 2008, 12:15 PM
EricaMae
Closed subsets
Let AcX, A is not the empty set.
Prove if every b in X there exists an a in A such that d(b,A)=d(b,a) then A is a closed subset of X.
So for A to be a closed subset, that means that it has to include all of its limit points. So should I... | 4 | [
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0.0013427734375,
0.01422119140625,... | 42,451 | 42451 | |
Probability
May 5th 2014, 05:38 PM #1
Newbie
Joined
May 2014
From
Cayman
Posts
13
Probability
1.Out of 5 mathematics teachers and 7 English teachers a committee consisting of 2 mathematics teachers and 3 English teachers is to be formed. In how many ways can this be done if any of the
mathematics... | 4 | [
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-0.05712890625,
-0.032... | 42,452 | 42452 | |
Euclidean domains
March 9th 2010, 09:25 AM #1
Newbie
Joined
Jan 2009
Posts
10
Euclidean domains
Hi,
i need to show which of the following are euclidean domains:
a) C[x] with d(f)=deg(f) (where C[x] = set of polynomials with complex coefficients)
b) set of integers with d(n)=|n|+1
c) rin... | 5 | [
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-0.0375976... | 42,453 | 42453 | |
Converge + Diverge
November 18th 2008, 12:27 PM #1
Member
Joined
Jun 2008
Posts
77
Converge + Diverge
I have done four problems and I just want to make sure that I am doing them right before I continue.
I have to test for convergence. E= Riemann Sum :P
First problem.
infinite
E n^2/(2n... | 5 | [
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-0.0341796875,
-0.01129150390625,
-... | 42,454 | 42454 | |
decompositions of matrices over $\mathbb{Q}$
up vote 3 down vote favorite
Given a matrix $A\in GL_n(\mathbb{Q})$. Can it be expressed as a product of two matrices $B,C$ with $B\in GL_n(\mathbb{Z}[1/p])$ and $C\in GL_{n}(\mathbb{Z}_{(p)})$, where $ \mathbb{Z_p}$ denotes the
localization of $\mathbb{Z}$ at $(p)$ ?
matr... | 5 | [
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0.031494140625,
-0.0673828125,
0.0301513671875,
-0.01519775390625,
0.02880859375,... | 42,455 | 42455 | |
Limited Market Participation and Asset Prices in the
Limited Market Participation and Asset Prices in the Presence of Earnings Management^1
NOTE: International Finance Discussion Papers are preliminary materials circulated to stimulate discussion and critical comment. References in publications to International Fin... | 4 | [
0.0517578125,
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Helmholtz coil approximations
My friend Joss Ives got this blog post rolling with this tweet:
When measuring the radius of a Helholtz coil which has some decent thickness in the r-direction, do you measure to inside, outside or middle—
Joss Ives (@jossives) April 20, 2012
What I decided to do to check this o... | 4 | [
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... | 42,457 | 42457 | |
LaGrange Multipliers
November 1st 2008, 04:26 PM #1
Senior Member
Joined
Jul 2007
Posts
290
LaGrange Multipliers
Grrr... This problem has been stressing me out for the past half hour
Find the extreme values of f(x,y) = xy on the ellipse ((x^2)/8) + ((y^2)/2) = 1
i've gone ahead and figured ou... | 5 | [
0.0279541015625,
-0.033935546875,
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... | 42,458 | 42458 | |
Patent US6259427 - Scaling multi-dimensional signals using variable weighting factors
RELATED APPLICATION
This application claims priority from provisional application Ser. No. 60/083,051 filed on Apr. 24, 1998, which is incorporated by reference herein in its entirety.
BACKGROUND OF THE INVENTION
1. Field of the In... | 4 | [
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0.026... | 42,459 | 42459 | |
Math Forum Discussions
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Topic: Trigonometry Without Sines, Cosines, Tangents, et ... | 4 | [
-0.099609375,
0.061767578125,
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0.0546875,
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-0.0634765625,
-0.0115966796... | 42,460 | 42460 | |
Splitting an evaluated complete graph
up vote 7 down vote favorite
2
Suppose we are given a positive integer $k$. Let $K_k$ denote the complete (undirected and simple) graph with vertices $1, 2, \dots, k$. The set of edges of $K_k$ is the set $E_k = \{ \{ x,y \} \mid
\ 1 \leq x < y \leq k\}$.
A valuation of $K_k$ is ... | 5 | [
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-0.04736328125,
... | 42,461 | 42461 | |
Help with Linear Algebra , Orthonormal Basis
September 11th 2008, 12:09 AM #1
Newbie
Joined
Sep 2008
Posts
8
Help with Linear Algebra , Orthonormal Basis
Greetings , I'm new to the site and well , I have the following question.
In a polynominal space in the order smaller then 3 , a given standard ba... | 5 | [
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-0.006256103515625,
-0.05688476562... | 42,462 | 42462 | |
Proving equivalency (limits)
March 14th 2011, 09:54 AM
zadir
Proving equivalency (limits)
There are given $x>0$ real number and $0<x_{n,1}, x_{n,2}, ...,x_{n,n}$ real numbers and $x_{n,1}+ x_{n,2}+ ...+ x_{n,n}=x$ for all $n$. Prove that:
$\displaystyle\lim_{n \to \infty}\prod_{i=1}^{n}(1+{x_{n,i}})=e^x \Lon... | 5 | [
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-0.0732... | 42,463 | 42463 | |
Fourier-Mukai transform
Context
Higher linear algebra
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Motivic cohomology
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Contents
Idea
The Fourier-Mukai transform is a categorified integral ... | 4 | [
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Another Real Analysis Question
May 14th 2014, 01:49 AM
Educated
Another Real Analysis Question
Quote:
Suppose that $f : \mathbb{R} \rightarrow \mathbb{R}$ is $C^2$ everywhere, and suppose that $c \in R$ satisfies $f'(c) = 0$ and $f''(c) > 0$.
(a) Prove that there exists $\delta > 0$ such that $|x-c| < ... | 5 | [
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sketch cubic
May 13th 2008, 01:18 AM #1
Member
Joined
Jan 2008
Posts
130
sketch cubic
Hello all, please help me
1.) Sketch the graph of function y=4x^3 - 8x^2-11x-3
I tried it, and got (x-3)(4x^2+4x+1) I can't factorise the quadratic to solve, need help
2.) (3w/2 - 5/4w)^3
Im clueless w... | 4 | [
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Evaluate the intergral
$\int_1^2 9x^2\times 2x^3 dx$ $\int_1^2 9\times2x^{2+3} dx$ $\int_1^2 18x^{5} dx$ now use the following formula $\int ax^{n} dx = \frac{ax^{n+1}}{n+1}+c$ to find $\int_1^2 18x^{5} dx = \frac{18x^
{5+1}}{5+1}$ $= \frac{18x^{6}}{6}$ $= 3x^{6}$ We we are intergrating between 1 and 2 sub these values... | 4 | [
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0.0023345947265625... | 42,467 | 42467 | |
Find exact perpendicular distance between two parallel lines
Find the exact perpendiuclar distance between two parallel lines. a)y=3x-2 and y=3x+3 please explain your answer
can you please do it. mainly because its a parallel, and i dont know how to sub it in
i wasnt in class when they taught this, but does anyone kn... | 4 | [
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Rolling up hill
Author Rolling up hill
posted
Ranch
Hand What happens if you roll these objects up hill ? So the objects are bowled up hill by some mechanism that releases the object from the the same line.
... | 5 | [
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integral??
December 7th 2008, 03:15 PM #1
Member
Joined
Sep 2008
Posts
126
integral??
hey uhh.. my teacher never taught me how to differentiate log/ln functions or integrate them.. so i am asking, what is the integral of $ln(t^2 - 3t + 3)$
$\int ln(t^{2}-3t+3)dt$
This is a rather tough one if y... | 5 | [
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Non-transitive Dice
We present a set of very unusual dice, and a two player game where you will always have the advantage.
You can even teach your opponent how the game works, yet still win again!
Finally, we will describe a new game for three players where you can potentially beat both opponents - at the same time!... | 5 | [
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0.0076... | 42,471 | 42471 | |
Mechanics question
October 14th 2008, 11:15 AM
djmccabie
Mechanics question
Hi could anyone help with this? I can do part A but not part B.
A pebble is thrown vertically upwards from a point A with initial velocity 11.2 m/s
A) Find the greatest point above A that can be reached by pebble B
(I make ... | 4 | [
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Why do Bernoulli numbers arise everywhere?
up vote 39 down vote favorite
39
I have seen Bernoulli numbers many times, and sometimes very surprisingly. They appear in my textbook on complex analysis, in algebraic topology, and of course, number theory. Things like the
criteria for regular primes, or their appearance in... | 4 | [
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Solving Graphic Equations
Are you sure you don't mean: the 2 orca whales add up to 13,000 lbs? Because I'm getting an odd answer... Let $b$ be the weight of a beluga whale Let $o$ be the weight of an orca whale You know: "The
weights of two beluga whales and 3 orca whales add up to 36,000 pounds" So: $2b + 3o = 36,000$... | 4 | [
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Derivatives: Quotient Rule - Consumption Function
February 13th 2009, 12:50 PM #1
Junior Member
Joined
Jan 2009
From
vancouver
Posts
58
Derivatives: Quotient Rule - Consumption Function
The consumption function is given by
c=((14squar root of I^3)-35)/(I+9)
where I is the total national i... | 5 | [
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Sachin Kaushik (Skaushi) on PaGaLGuY
Sachin Kaushik @Skaushi 14
Posted 24 Dec '12
@ayushbhalotia 49: it comes out to be 24. I can't make out of proportional sign for 0....
@ayushbhalotia 49: it comes out to be 24. I can't make out of proportional sign for 0....
Sachin Kaushik @Skaushi 14
Posted 04 Aug '12
@[5862... | 4 | [
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Algebra moves: Legal vs smart
September 21, 2012
Note: What follows is likely completely obvious to anyone who has been teaching math longer than a year, but since I’m essentially teaching the subject for the first time this year, I thought I would
write observations like these down.
My students have seen the three ... | 4 | [
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How do I begin to solve this problem?
October 9th 2013, 01:26 PM #1
Newbie
Joined
Oct 2013
From
USA
Posts
3
The question is as follows:
"A Farmer encloses three adjacent rectangular corrals with 1500 feet of fencing. Determine the length and width that will yield a maximum area."
Re: How do I be... | 4 | [
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Hey gues find equation of parabola with given properties. Also a hyperbola question.
April 29th 2009, 07:36 PM
dham
Hey gues find equation of parabola with given properties. Also a hyperbola question.
Hey guys I have a question I've been stuck on. The problem says
Find the equation of the parabola with the... | 4 | [
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-0.0859375,
-0... | 42,479 | 42479 | |
Annihilator Method?
October 11th 2009, 08:27 PM #1
Newbie
Joined
Oct 2009
Posts
7
Annihilator Method?
Is there anyone well versed in the annihilator method? I don't think I quite fully understand it, and the given problem that we have is:
Solve the given differential equation using the annihilator... | 5 | [
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Proving the Validity of an Argument in Predicate Logic
March 10th 2009, 05:52 PM #1
Newbie
Joined
Mar 2009
From
Plymouth
Posts
12
Proving the Validity of an Argument in Predicate Logic - Another pointer please!
Hi all,
I am having an issue with the following question, I wonder if anyone could po... | 4 | [
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-0.015... | 42,481 | 42481 | |
A problem of Shimura and its relation to class field theory
up vote 23 down vote favorite
14
In Chapter II.10 of The Map of My Life, Goro Shimura mentions a certain problem:
The second topic concerns a polynomial $F(x)$ with integer coefficients. Take $$ F(x) = x^3 + x^2 - 2x - 1, $$ for example. For an integer $... | 5 | [
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Springs and Harmonic Motion (Physics)
Associated Topics || Dr. Math Home || Search Dr. Math
Springs and Harmonic Motion (Physics)
... | 5 | [
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0.01171875,
0.0341796875,
-0.004791259765625,
... | 42,483 | 42483 | |
Given a vector field all of whose integral curves are closed, is the period a smooth function?
up vote 5 down vote favorite
2
Disclaimer: The original question consisted of two parts. The first one has been answered negatively (see below the answers of Sam Lisi and Alejandro). It remains the second one.
Backgroun... | 4 | [
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-0.0079345703125,
0.083984375,
-0.099609375,
-0.01104736328... | 42,484 | 42484 | |
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Topic: Expectation of the variance
Replies: 2 Last Post: ... | 4 | [
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-0.021484375,
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0.054443359375,
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0.04296875,
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0.0166015625,
0.045654296875,
0.0023956298828125,
-0.05615234375,
0.01446533203125,
0.0291748046875,
-0.029296... | 42,485 | 42485 | |
Differential equations
December 2nd 2009, 09:25 AM #31
Senior Member
Joined
Mar 2009
Posts
378
Your solution will be $x(t) = C_1 \cos w_1 t + C_2 \sin w_1 t$. You just set $w=w_1$. You could very well have set $w=w_2$ this would just change the values of $C_1,C_2$. The conventions is to
set $w=w_1$, b... | 4 | [
-0.1416015625,
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0.03955078125,
0.0517578125,
-0.0673828125,
-0.035400390625,
-... | 42,486 | 42486 | |
Simpson's Rule/Trapezoid Rule
Date: 02/01/98 at 01:08:08
From: Allen Riddell
Subject: Simpson's Rule/Trapezoidal Rule (Formula) for
approximating integrals.
I understand why the trapezoidal rule results in a better
approximation of an integral. What I am uncertain about is how
Simpson's rule is derived and ... | 5 | [
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0.00164031982421875,
-0.035888671875,
-0.... | 42,487 | 42487 | |
Checking differential equation
September 3rd 2010, 11:10 PM #1
Senior Member
Joined
Feb 2008
Posts
297
Checking differential equation
Can someone check my working?
Solve $xy'=2x^2y+y\ln y$ by letting $\ln y=v$
$\ln y=v\Rightarrow y=e^v$
$\dfrac{dy}{dx}=\dfrac{dy}{dv}\cdot\dfrac{dv}{dx}$
... | 5 | [
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0.080078125,
0.0306396484375,
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-0.09423828125,
0.019409179... | 42,488 | 42488 | |
integration by trig substitution giving me different, equivalent answers, as calcula?
March 10th 2012, 08:57 PM #1
Junior Member
Joined
Jul 2011
Posts
48
integration by trig substitution giving me different, equivalent answers, as calcula?
Hi. Using trig sub to get integrals, I keep getting different but... | 5 | [
-0.01165771484375,
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0.04736328125,
-0.01416015625,
0.00573730... | 42,489 | 42489 | |
Problem 40
November 18th 2007, 05:45 PM #31
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Here is solution to #2. By Weierstrass Approximation Theorem there is a sequence of polynomials $p_n(x)$ converging uniformly to $f(x)$. But $\int_0^1 p_n(x)f(x) dx = 0$ (because i... | 5 | [
-0.05859375,
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0.01452636718... | 42,490 | 42490 | |
true or false: statement concerning initial value problems
November 20th 2012, 09:16 AM #1
Junior Member
Joined
Oct 2012
From
Bonn
Posts
46
Thanks
1
true or false: statement concerning initial value problems
Hello
I'm not sure here:
...
Are the following statements true or false? P... | 5 | [
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... | 42,491 | 42491 | |
percentage's
September 24th 2008, 02:31 AM
Bish4n
percentage's
Question: In a library 20% books are English, 50% of remaining are French and 30% of remaining are Latin. The rest 6300 are in regional languages. What's the total no. of books?
Answer: Let total books = x
Then no. of books in English= 20% ... | 4 | [
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0.0712890625,
... | 42,492 | 42492 | |
Celsius and Fahrenheit Conversions
Date: 09/15/97 at 18:09:48
From: Anonymous
Subject: Fahrenheit and Celsius
Dr. Math:
I know that at -40 degrees Celsius and Fahrenheit the metric and
English temperatures are the same. I am having problems with the
conversion method - I just don't understand.
My question is: For... | 4 | [
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0.06103515625,
0.00640869140625,
-0.138671875,
-0.08935546875,
0.06884765625,
... | 42,493 | 42493 | |
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Topic: Fractional Digits in Number theory
Replies: 4 Last... | 4 | [
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0.01336669921875,
-0.031494140625,
-0.021484375,
-0.007... | 42,494 | 42494 | |
Binomial Expansions
Date: 03/14/99 at 12:49:02
From: Jeff Doker
Subject: Strange Binomial Expansions
The problem involves finding the constant term of the expansion of
(x + x^-1)^6 (let us define this binomial expansion as a "strange"
expansion). I know how to find the constant term of expansions of
normal linear bi... | 5 | [
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0.00155... | 42,495 | 42495 | |
Stats Review: How to Calculate Quartiles
This article explains how to calculate quartiles.
Quartiles
They represent the position of a given value within a set of data divided in four equal parts. The quartiles represent the first, second or third quarter.
First quarter (Q1)
Q1 = X to the position [1 (n + 1)] / 4
S... | 4 | [
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-0.02392578125,... | 42,496 | 42496 | |
Screensavers by Robert Munafo
Screensavers by Robert Munafo
These are some live video effects created with Quartz Composer to demonstrate the use of the GLSL programming language to perform realtime calculation on live video images. Since that involves
massive amounts of calculation, it's just the thing to keep me bu... | 4 | [
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0.01953125,
-0.04931640625,
-0.02490234375,
0.038330078125,... | 42,497 | 42497 | |
Math Forum Discussions
Math Forum
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Discussions
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Topic: How I make odefun for this odes(see message) in Ma... | 5 | [
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... | 42,498 | 42498 | |
MODIFIED MUTUAL AUTHENTICATION AND KEMODIFIED KEYAGREEMENT PROTOCOL BASED ON NTRUCRYPTOGRAPHY FOR WIRELESS COMMUNICATIONS
International Journal of Computer Science and Network (IJCSN)
Volume 1, Issue 4, August 2012 www.ijc... | 4 | [
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