content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Real/imaginary zeros
January 18th 2009, 12:55 PM #1
Member
Joined
Oct 2008
Posts
221
Find all the real imaginary zeros for the polynomial function
f(x) = x^4 + 3x^3 - 3x^2 + 3x - 4.
Thanks for any help!
By inspection $x = 1$ gives a zero!
Hence $(x-1)$ is a factor.
Using long divis... | 4 | [
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0.056884765625,
-0.09228515625,
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-0... | 10,500 | 10500 | |
What Are Quadratic Functions?
Date: 02/27/2003 at 23:14:16
From: Fly
Subject: Quadratic Functions
What are quadratic Functions?
I do not know the difference between a quadratic function and a
quadratic formula.
Date: 03/03/2003 at 09:47:59
From: Doctor Ian
Subject: Re: Quadratic Functions
Hi Fly,
A quadratic fun... | 4 | [
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-0... | 10,501 | 10501 | |
General form of Rouche's Theorem
up vote 1 down vote favorite
1
Let $\Omega$ be the interior of a compact set $K$ in the plane. Suppose $f$ and $g$ are continuous on $K$ and holomorphic in $\Omega$, and $|f(z)-g(z)|<|f(z)|$ for all $z\in K-\Omega$. Then $f$ and
$g$ have the same number of zeros in $\Omega$.
PS: This ... | 4 | [
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mlibbrecht
Blizzard recently released Hearthstone, a TCG-style video game similar to Magic the Gathering. Hearthstone has a play mode called the Arena where the player assembles a deck out of random cards and
uses it to play against randomly-selected other players. The player plays games until they lose 3 times (or win... | 4 | [
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The Reference Frame
Optical rotation in magnetic field and axions
Sean Carroll mentions
three experiments
:
• B-meson oscillations that we discussed here
• MINOS (neutrinos) that we described here
• Rotating light in a magnetic field
We have not yet talked about the last one even though the
preprint
writte... | 4 | [
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Algebra Question
November 17, 2012 11:35 AM Subscribe
Can anyone help with an algebra question I am trying to help my neice with her homework.
(9/2m) - (m+4)/4m = 5/36
11th grade algebra- do you multiply entire equation by 2m? lowest common denominator? help. An explanation would be great and also any websites tha... | 4 | [
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-0.075... | 10,505 | 10505 | |
Average speed of a man walking up a hill.
December 8th 2008, 05:36 AM
nepsesh
Average speed of a man walking up a hill.
Hello everyone, this problem was broadcast on BBC 4's prog 'More Or Less' last Christmas & has been puzzling me ever since:
"A man goes for a walk after his Christmas dinner up a hill behi... | 4 | [
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0.0... | 10,506 | 10506 | |
Tate conjecture for abelian varieties over a finitely generated extension of an algebraically closed field
up vote 2 down vote favorite
1
Let $K$ be a finitely generated extension of an algebraically closed field of characteristic zero, and $A,B$ abelian varieties over $K$.
Then is $Hom_K(A,B)\otimes \mathbb{Z_l} \co... | 4 | [
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surjective proof
September 13th 2008, 10:59 PM #1
surjective proof
I have no idea how to prove the following, any help on how to resolve this would be appreciated:
Let $f$ be a function from X onto Y and let $B \subset Y$. Show that $f(f^{-1}(B)) = B$.
You need to show two things.
1)If $x\in f(f^{-1... | 4 | [
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Encoding information about submatrix determinants
up vote 1 down vote favorite
$M$ is an $n\times n$ matrix. Consider the submatrices $M(P;Q)$ formed from $P$ rows and $Q$ columns of $M$ where $P$ and $Q$ are disjoint indices.
Is there some way to encode the various determinants such as $\det M((1,2,4);(3,5,6))$, $\d... | 4 | [
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Nonhomogeneous wave equation
June 12th 2010, 11:31 AM #1
Newbie
Joined
Mar 2010
Posts
3
Nonhomogeneous wave equation
Hi, how should I start to solve the following PDE?
$u_{tt} - u_{xx} = sin(x) cos(5x) sin(w t)$ 0<x<pi, t>0
u(0,t)=u(pi, t)=0
u(x,0)= $u_{t}(x,0)$=0.
My aim is actually t... | 5 | [
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Homework Help
Posted by Henry on Thursday, February 28, 2013 at 9:37am.
Compute the following
-7/2 x 9^-3/2 + 3/2 x 9^-5/2 + 14
7/2 is a negative fraction.
the entire fractions are multiplied by 9 raised to their respective exponents. I can't figure this out. Please help?
• Math - Steve, Thursday, February 28, 2... | 4 | [
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Algorithm of the Week: Topological Sort of a Graph
Introduction
Let’s assume we have a list of tasks to accomplish. Some of the tasks depend on others, so we must be very careful with the order of their execution. If the relationship between these tasks were
simple enough we could represent them as a linked list, whi... | 5 | [
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probability theory (mathematics) :: The birthday problem
probability theory
Article Free Pass
An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same birthday. If one assumes for simplicity that a year contains 365 days
and that each day is equa... | 5 | [
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Isolated quadratic residues in integers mod p
up vote 8 down vote favorite
2
For prime p sufficiently large, there is always an integer q such that q is a residue mod p, but neither q−1 nor q+1 are; the number of such residues scales like p/8 (and similarly for any sequence
of residues/non-residues in three consecutiv... | 4 | [
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Evaluating cellular automata is comonadic
Paul Potts's
post
inspired me to say something about cellular automata too.
So here's the deal: whenever you see large datastructures pieced together from lots of small but similar computations there's a good chance that we're dealing with a comonad. In cellular automata we
... | 4 | [
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Fourth-Degree Polynomial
Date: 04/26/2001 at 09:08:06
From: Richard Miller
Subject: Fourth-degree polynomial how?
Help! Our teacher gave us a question on graphing polynomials as a
just-for-fun problem and said it can be done. We want to come up with
a solution.
Construct a fourth degree polynomial that contains all... | 5 | [
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Counting Unordered Selections: Card Selection
September 13th 2010, 04:18 AM #1
Member
Joined
Jul 2009
Posts
132
Counting Unordered Selections: Card Selection
From a standard deck of 52 playing cards, find how many five - card hands can be dealt:
e)consisting of three twos and another pair
Here i... | 4 | [
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tan²x+4tanx+1=0 help!!
November 5th 2008, 09:33 PM #1
tan²x+4tanx+1=0 help!!
Helppp! tan²x+4tanx+1=0 [0,2pi)
How do you do it? I tried factorising it which isn't possible.
so i used -b+-squareroot of(b^2-4ac)
which got me stuck at (-4 plusminus squareroot of 12 ) / 2
i don't know what to do next.
... | 4 | [
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Minimisation Problem
May 5th 2010, 11:05 PM #1
Newbie
Joined
Apr 2010
Posts
13
Minimisation Problem
Hi, I have gotten halfway through this problem but I have gotten stuck. The problem is...
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs f... | 4 | [
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Simplify The Calculation Of Microstrip Dimensions
The classic equations used to predict the dimensions of microstrip lines can be greatly simplified without a significant sacrifice in the accuracy of those predictions.
Circuit traces on microstrip printed circuit boards (PCBs) form the interconnections between compone... | 4 | [
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0... | 10,520 | 10520 | |
A question about Chi-Squared test
May 22nd 2011, 07:19 AM #1
Newbie
Joined
May 2011
Posts
5
Hi
I have done a study and found that the prevalence of a particular disease is higher in my study population (11 out of 429 patients) than the UK population (0.3% prevalence). How would I be able
to compa... | 5 | [
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Logic problem?
10-09-2002
biosninja
Logic problem?
I was wondering I any of you could help me with these two problems.
1.
A contractor estimated that one of his two bricklayers would take 9 hours to build a certain wall and the other 10 hours. When the two bricklayers worked together, however, 10 fewer ... | 5 | [
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What is the relationship between a test and a confidence interval?
7. Product and Process Comparisons
7.1. Introduction
7.1.5. What is the relationship between a test and a confidence interval?
There is a correspondence In general, for every test of hypothesis there is an equivalent statement about whether th... | 4 | [
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Are the compact and Haagerup approximation properties equivalent?
up vote 7 down vote favorite
2
The following essentially implies the equivalence of Anantharaman-Delaroche's compact approximation property (page 337 of http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&
handle=euclid.pjm/1102... | 5 | [
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0.06640625,
-0... | 10,524 | 10524 | |
Homework Help
Posted by Mel <3 on Sunday, November 30, 2008 at 9:02pm.
Carla Music Company estimates that the marginal cost of manufacturing its professional series guitar is C’ (x) = .002x + 100 dollars/month when the level of production is x guitars/month. The fixed
costs by Carla are $4000 per month.
A. Find the t... | 4 | [
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0.09228515625,
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0.0100097... | 10,525 | 10525 | |
Introduction to the Design and Analysis of Algorithms
Overview
Based on a new classification of algorithm design techniques and a clear delineation of analysis methods, Introduction to the Design and Analysis of Algorithms presents the subject in a coherent and
innovative manner. Written in a student-friendly style, t... | 5 | [
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0.066... | 10,526 | 10526 | |
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Topic: Derivation of the Sum of a Series
Replies: 4 Last ... | 4 | [
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0.036376953... | 10,527 | 10527 | |
The Real Infinity, For Reals
This is the third article in a series called Before I Forget, an exposition for the semi-layman of freaky high-level mathematics. Last time we talked about cardinal numbers: numbers which are used
for counting the elements in very large sets. This time I’ll use the compactness theorem to i... | 5 | [
0.0220947265625,
-0.04931640625,
-0.031982421875,
0.018310546875,
-0.0286865234375,
0.019775390625,
-0.037841796875,
0.062255859375,
0.04541015625,
0.0419921875,
-0.045166015625,
0.08642578125,
-0.023681640625,
0.037109375,
-0.064453125,
-0.058349609375,
0.0107421875,
-0.0698242187... | 10,528 | 10528 | |
Combinatorics: Ramsey Theory
Date: 01/12/98 at 22:50:00
From: John W. Busardo
Subject: Ramsey Theory
Dr. Math,
In two months I have an oral presentation due concerning
combinatorics. Mainly it is a presentation on Ramsey theory. The
project must include a detailed explanation of the theory along with a
concrete exa... | 5 | [
-0.0859375,
0.0048828125,
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0.07373046875,
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0.0419921875,
0.0303955078125,
0.03857421875,
0.080078125,
-0.0400390625,
-0.0888671... | 10,529 | 10529 | |
Uniform Continuity
$f(x)=1/x$ how would you show this is continuous on $A=[1,\infty)$ but not on $B=(0,\infty)$?
The first by exhibiting a function $\varepsilon(\delta)$ valid on that interval, and the second by contradiction.
I assume you mean uniformly continuous First note that 1/x - 1/y = y-x/xy For the first par... | 5 | [
-0.01348876953125,
-0.05712890625,
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0.07373046875,
0.0087890625,
0.11181640625,
0.0830078125,
0.058837890625,
-0... | 10,530 | 10530 | |
2-groups are to crossed modules as 2-categories are to...?
up vote 4 down vote favorite
1
Given a 2-group $\mathcal{G}$, you can construct a crossed module $(G,H,t,\alpha)$ and vice versa.
Is there something similar you can say for strict 2-categories?
In a personal attempt to understand strict 2-categories, I ended... | 4 | [
0.0242919921875,
-0.048828125,
0.005340576171875,
0.039794921875,
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-0.095703125,
0.029052734375,
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0.031005859375,
0.003936767578125,
... | 10,531 | 10531 | |
Pane Rotation - Computer Graphics
Date: 11/14/96 at 16:14:15
From: Bart
Subject: Rotating a pane in 3d space
Dear Dr. Math:
Hello! I am looking to see if anyone can help me solve a math problem
that I have self-imposed :-). It has to do with 3d vectors.
All right, let's say you have a pane in 3d space defined by... | 4 | [
-0.0546875,
0.00176239013671875,
-0.056396484375,
-0.11279296875,
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0.005218505859375,
0.0267333984375,
-0.005767822265625,
-0.046630859375,
0.0115966796875,
0.046142578125,
0.0458984375,
0.0009918212890625,
-0.0113525390625,
-0.098632... | 10,532 | 10532 | |
Finding limits...
May 15th 2009, 08:54 PM
Benno_11
Finding limits...
Hi, I need some help finding the limit of the following....
$\lim_{n \to \infty} \frac{2^n - n}{3^n - n}$
There is also one more i am stuck on,
$\lim_{n \to \infty} \sqrt[n]{2^n + 3^n + 4^n}$
For this one could I use the squ... | 5 | [
-0.06640625,
-0.045654296875,
-0.11279296875,
-0.0196533203125,
0.0146484375,
-0.057861328125,
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0.0458984375,
-0.0216064453125,
-0.07666015625,
-0.0830078125,
-0.09521484375,
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-0.01446533203125,
0.0172119140625,
0.0145263671875,
-0.03271484375,
-0.058... | 10,533 | 10533 | |
integration of a laplacian
up vote 1 down vote favorite
1
Hi, I solved for a Poisson equation with finite elements, using piecewise linear basis functions on 2d triangles.
Now, I want to evaluate the following expressions:
$$ \int_\Omega \Delta u ~dx$$ and $$ \int_\Omega (\Delta u)^2 ~dx$$ I want to evaluate these exp... | 5 | [
-0.048095703125,
0.0458984375,
0.0380859375,
-0.08154296875,
0.0294189453125,
-0.034423828125,
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-0.03076171875,
-0.044677734375,
-0.040771484375,
-0.0091552734375,
-0.0291748046875,
-0.058349609375,
-0.043212890625,
0.09033203125,
-0.000911712646484375,
-0.0786132812... | 10,534 | 10534 | |
Project Euler: basic number theory functions
Bear Giles | February 13, 2011
This is another Project Euler-inspired post. Everything above the break is covered in problem descriptions but not put in a single place (as far as I know). Below the break I’ll discuss some
implementation details.
Much of number theory con... | 5 | [
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0.0125732421875,
-0.004547119140625,
-0.0301513671875,
0.0211181640625,
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0.052001953125,
0.080078125,
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0.03515625,
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0.0186767578125,
-0.025146484375,
-0.03271484375,
-0.05029296875,
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number of combinations
January 24th 2007, 06:20 AM
Rimas
number of combinations
Given Twenty Couples how many different three member committees can be fored that do not contain both members of any of these couples
January 24th 2007, 07:45 AM
Soroban
Hello, Rimas!
Quote:
Given twenty couples, ho... | 4 | [
0.021728515625,
-0.06494140625,
-0.01953125,
-0.0078125,
-0.0791015625,
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0.0299072265625,
0.040771484375,
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0.060791015625,
-0.04345703125,
0.034912109375,
-0.0002994537353515625,
0.0125732421875,
-0.03540039... | 10,536 | 10536 | |
Solve y'(x)=(4x+3y-1)^2
November 19th 2011, 03:59 AM
Vinod
Solve y'(x)=(4x+3y-1)^2
Hello,
I have solved this differential equation, but I want to know whether all the steps are correct.
y'(x)=(4x+3y-1)^2
Let u=4x+3y-1 then du/dx =4+3y'(x)
This implies y'(x)=(1/3)u'(x)-4/3
Now
(1/3)u'(x)-4... | 5 | [
-0.01422119140625,
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0.0299072265625,
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-0.05078125,
-0.0147705078125,
0.007568359375,
-0.061767578125,
0.0703125,
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0.01495361328125,
0.0115966796875,
-0.072265625,
-0.0036773681640625,
0.0081787109375,
-0.... | 10,537 | 10537 | |
part of a fractional equation w/ binomial denominator
$8(5-y)(6/5-y)$ I don't get how to solve this part.. the result should be 48.. would anyone explain, thanks
Is the question $8(5-y)(\frac{6}{5}-y)=0$ or something? (clearly it isn't this since y=48 is not a solution).
no, the whole equation is 3/8=6/5-y LCD=8(5-y)... | 4 | [
-0.0242919921875,
-0.0230712890625,
0.0155029296875,
0.025390625,
-0.0233154296875,
0.014404296875,
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0.0015716552734375,
-0.0034637451171875,
-0.01544189453125,
0.01446533203125,
0.0196533203125,
-0.051513671875,
0.08544921875,
0.04541015625,
0.1005859375,
-0.046142578125... | 10,538 | 10538 | |
Why are the integers with the cofinite topology not path-connected?
up vote 20 down vote favorite
14
An apparently elementary question that bugs me for quite some time:
(1) Why are the integers with the cofinite topology not path-connected?
Recall that the open sets in the cofinite topology on a set are the subs... | 5 | [
0.06884765625,
-0.0693359375,
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0.048095703125,
0.0166015625,
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0.08056640625,
0.00064849853515625,
0.03271484375,
-0.04296875,
-0.115234375,
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0.036865234375,
0.035888671875,
-0.07763671875,
-0.0888671875,
0.01513671875,
-0.0908203125,
... | 10,539 | 10539 | |
Points of a variety defined by Galois descent
up vote 7 down vote favorite
5
Let k be a perfect field. By a k-variety, I shall mean a geometrically reduced separated scheme of finite type over k. I think that is enough conditions that the following data determine an affine
k-variety:
1. A subset $X(\bar{k})$ of $\ba... | 4 | [
0.029296875,
-0.0096435546875,
0.08544921875,
-0.046875,
-0.0299072265625,
0.06982421875,
0.125,
-0.007476806640625,
0.02294921875,
-0.0101318359375,
0.041259765625,
-0.022705078125,
0.0107421875,
-0.0284423828125,
0.000484466552734375,
0.1181640625,
-0.01531982421875,
-0.021118164... | 10,540 | 10540 | |
Prove limit of recurrence relation
April 1st 2007, 12:09 PM
slowcurv99
Prove limit of recurrence relation
Let S1 = sqrt(6), S2 = sqrt( 6 + sqrt(6) ), S3 = sqrt( 6 + sqrt(6) +sqrt(6) ), and in general define S(n+1) = sqrt( 6 + Sn ). Prove that Sn converges, and find its limit
April 1st 2007, 12:26 PM
ThePerfect... | 4 | [
-0.04443359375,
-0.1318359375,
-0.03955078125,
-0.01483154296875,
-0.0185546875,
0.06591796875,
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-0.0089111328125,
0.036376953125,
-0.05419921875,
-0.027099609375,
0.09765625,
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-0.0047607421875,
-0.052490234375,
-0.05078125,
-0.04931640625,
0.0339355... | 10,541 | 10541 | |
relatively k-compact morphism in an (infinity,1)-category
Definition
For $\kappa$ some cardinal, say a morphism $f : x \to y$ in $C$ is relatively $\kappa$-compact if for all (∞,1)-pullbacks along $h : y' \to y$ to $\kappa$-compact objects, $y'$, the pulled back
object $h^* x'$ is itself a $\kappa$-compact object.
Le... | 4 | [
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-0.00994873046875,
0.02099609375,
0.0810546875,
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0.060791015625,
-0.00933837890625,
0.01165771484375,
0.0419921875,
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-0.060302734375,
0.01806640625,
0.037841796875,
0.03857421875,
0.004180908203125,
-0... | 10,542 | 10542 | |
Convert from radian to degrees?
January 4th 2011, 12:15 PM
homeylova223
Convert from radian to degrees?
17.5 I know to convert to degrees you must multiply time (180 degrees/pi) But I am not sure how to do this.
January 4th 2011, 12:20 PM
e^(i*pi)
Multiply your two numbers together to get the value in deg... | 4 | [
0.01806640625,
0.08154296875,
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0.009765625,
-0.05322265625,
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0.0179443359375,
0.044677734375,
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0.01507568359375,
0.10595703125,
-0.083984375,
-0.0283203125,
0.1206054... | 10,543 | 10543 | |
universes in SEAR
This page develops a theory of universes in the structural set theory called SEAR, parallel to the theory of Grothendieck universes for ZF and the theory of a universe in a topos. See also categories
in SEAR.
David Roberts: Can we talk about Grothendieck universes or analogous size-related mechanisms... | 4 | [
-0.04443359375,
-0.02587890625,
-0.0208740234375,
-0.0322265625,
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-0.1044921875,
0.05419921875,
0.045166015625,
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0.033203125,
0.042236328125,
-0.06982421875,
0.003997802734375,
0.0157470703... | 10,544 | 10544 | |
an algebra question
September 25th 2005, 10:57 AM #1
Member
Joined
Sep 2005
Posts
84
an algebra question
hello.
i have got this one algebra question for homework.
however i had no idea on how to do this attached one.
i need to find answers for both a= and b=.
One way is to expand the ... | 4 | [
-0.076171875,
0.0147705078125,
-0.0361328125,
0.044189453125,
-0.0277099609375,
0.053466796875,
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0.03515625,
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0.033203125,
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0.034912109375,
0.0634765625,
-0.06103515625,
0.009033203125,
-... | 10,545 | 10545 | |
t
Johann Müller Regiomontanus (1436 - 1476)
Regiomontanus was born Johann Müller of Königsberg and it is from this town that he gets his name (in Latin Königsberg, meaning King’s mountain, is Regio Monte).
Regiomontanus changed the way astronomy worked in Europe and in so doing helped to contribute to many mathematic... | 5 | [
-0.047607421875,
0.054443359375,
-0.00885009765625,
0.0084228515625,
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0.1494140625,
-0.0162353515625,
0.009521484375,
-0.0908203125,
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0.0004062652587890625,
0.0098876953125,
-0.060302734375,
-0.01708984375,
-0.08203125,
... | 10,546 | 10546 | |
Proving Transcendence
Date: 05/15/99 at 20:47:04
From: Tony Johnson
Subject: How does one prove transcendence in a number?
I've been asked by my mathematics teacher to present a talk about
transcendental numbers in class. I've been to nearly every site that
is listed by my search engine regarding transcendental numb... | 5 | [
-0.0849609375,
-0.01318359375,
-0.00823974609375,
0.08349609375,
-0.05419921875,
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0.041748046875,
-0.005126953125,
0.028564453125,
-0.0220947265625,
0.01336669921875,
0.00201416015625,
0.05615234375,
-0.031982421875,
0.0167236328125,
-0.0510253906... | 10,547 | 10547 | |
Point of intersection of a line with plane
November 2nd 2008, 06:28 AM
Altair
Point of intersection of a line with plane
Find the coordinates of the point where the line $x = 2 - 3t$, $y = 1 + t$, $z = 4 - t$intersects the plane $2x - 3y + z = -16$
Please explain the solution with the logic behind it.
Nove... | 4 | [
-0.0771484375,
0.005645751953125,
-0.048583984375,
-0.06689453125,
0.046630859375,
-0.051025390625,
0.08935546875,
0.064453125,
-0.026123046875,
0.007568359375,
0.046142578125,
-0.01519775390625,
0.068359375,
0.037841796875,
-0.08056640625,
0.034423828125,
-0.054443359375,
-0.11181... | 10,548 | 10548 | |
An Integral and derived double integral
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Suppose that $f\left(x\right)\geq0$ is continuous on $\left[-\infty,\infty\right]$ and $\int_{-\infty}^{\infty}f\left(x\right)dx=1$. I... | 5 | [
-0.017822265625,
0.00165557861328125,
-0.0216064453125,
-0.109375,
0.11328125,
-0.02685546875,
0.0113525390625,
0.10888671875,
-0.1025390625,
0.004913330078125,
-0.00341796875,
0.107421875,
0.0703125,
0.0020904541015625,
0.04736328125,
0.056884765625,
0.0859375,
-0.107421875,
-0.... | 10,549 | 10549 | |
Fastest modular exponentiation in JavaScript
up vote 9 down vote favorite
8
My problem is to compute (g^x) mod p quickly in JavaScript, where ^ is exponentiation, mod is the modulo operation. All inputs are nonnegative integers, x has about 256 bits, and p is a prime number
of 2048 bits, and g may have up to 2048 bits... | 4 | [
-0.0296630859375,
-0.0137939453125,
-0.0208740234375,
0.05615234375,
-0.003662109375,
-0.1005859375,
0.000957489013671875,
0.0125732421875,
-0.0216064453125,
-0.043701171875,
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0.07763671875,
-0.0230712890625,
0.046875,
0.0245361328125,
0.00592041015625,
-0.002197265625,
... | 10,550 | 10550 | |
direct products problem
October 21st 2008, 06:36 AM
deniselim17
direct products problem
I'm stuck at this question for more than 24 hours. This question is from "THE THEORY OF GROUPS: An Introduction" by Joseph J. ROTMAN, Exercise 4.11.
Here is the question:
If $G$ is a group with normal subgroups $H_{... | 4 | [
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-0.010009765625,
0.07373046875,
-0.0244140625,
0.06640625,
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0.010009765625,
-0.076171875,
-0.03125,
0.01409912109375,
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0.050537109375,
-0.10888671875,
-0.0177001953125,
0.0400390625,
0.029541015625,
-0.0220947265625,... | 10,551 | 10551 | |
Math IQ | Math Homework Guide
Consider a matrix A. If A is a square matrix then there is some value that can be assigned to A. This is called the determinant of matrix A. It is denoted by the symbol |A| or det(A). The entries of
the matrices are used and an arithmetic expression is formed out of them to come to a valu... | 4 | [
-0.02880859375,
-0.054443359375,
-0.11767578125,
-0.07666015625,
-0.0634765625,
0.0322265625,
-0.0247802734375,
-0.08447265625,
0.0654296875,
0.041748046875,
0.09814453125,
0.042724609375,
0.0211181640625,
0.01336669921875,
-0.0478515625,
0.10107421875,
-0.041259765625,
-0.03393554... | 10,552 | 10552 | |
Absolute Caution
Date: 09/28/2012 at 13:43:35
From: Mark
Subject: Distributing into an absolute value exoression.
In your response to a math teacher about whether absolute value symbols
should be treated as grouping symbols, you said that it is possible to
distribute into them.
I've always advised my students not to... | 4 | [
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0.017333984375,
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-0.0205078125,
0.0390625,
-0.03271484375,
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-0.031005859375,
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0.10595703125,
0.0859375,
-0.03515625,
0.00604248046875,
0.049072265625,
-0.02087... | 10,553 | 10553 | |
Conditional Probability Help -- Is this a trick question?
March 3rd 2014, 11:10 AM
redsox123
Conditional Probability Help -- Is this a trick question?
A conditional probability problem that I can't figure out:
(PART 1) Tom is trying to figure out the probability that his memory of a ride in a fighter jet w... | 4 | [
0.00136566162109375,
0.0341796875,
0.0269775390625,
0.061279296875,
0.09375,
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0.09130859375,
0.060302734375,
0.0166015625,
0.038330078125,
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0.10302734375,
-0.0306396484375,
0.09765625,
0.04541015625,
0.0269775390625,
... | 10,554 | 10554 | |
Math Forum: Teacher2Teacher - Q&A #9409
View entire discussion
[<<prev]
From: Suzanne A. (for Teacher2Teacher Service)
Date: Sep 22, 2002 at 10:33:26
Subject: Re: Solving algebraic equations
Hi Lisa,
Both of these examples could benefit from looking at ways to solve basic
algebraic equations. When I worked with 7t... | 4 | [
-0.0255126953125,
0.061279296875,
0.0294189453125,
0.041015625,
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0.03369140625,
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0.037353515625,
0.060546875,
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0.036376953125,
-0.0213623046875,
0.108886... | 10,555 | 10555 | |
word problem, please help
October 28th 2007, 01:21 PM
mirdita59
word problem, please help
a swiming pool can be filled in 12 hours and emptied in 15 hours. One day while the pool is being filled, the drain is accidentally left open. It is discovered after 3 hours and the drain is
closed. How much longer will... | 4 | [
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The Vibonacci Numbers
COMPUTING SCIENCE
The Vibonacci Numbers
Breeding Like Rabbits
The Fibonacci numbers were introduced to the world 800 years ago by Leonardo of Pisa, who also made another major contribution to mathematics: It was he who brought Indo-Arabic numerals into European
culture. "Fibonacci" was apparent... | 4 | [
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infinity-local site
Theorem
For $C$ an $\infty$-local site, the (∞,1)-sheaf (∞,1)-topos $Sh_{(\infty,1)}(C)$ over it is a local (∞,1)-topos, in that the global section (∞,1)-geometric morphism has a further right adjoint (∞,1)
-functor
$Sh_{(\infty,1)} \stackrel{\overset{abla}{\leftarrow}}{\stackrel{\overset{\Gamma}{... | 4 | [
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0... | 10,558 | 10558 | |
Lecture 16: Differential Equations
The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation or to
view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw... | 5 | [
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0.00241088... | 10,559 | 10559 | |
Quadratic Congruences
Suppose we have a fourth order recurrence such as
s[n] = 4 s[n-3] - 5 s[n-4]
with arbitrary initial values, say, s[0] = s[1] = s[2] = s[3] = 1.
For any prime p (other than 2 or 7) the value of s[p] (mod p) must
satisfy one of the following four congruences, depending on the
Leg... | 5 | [
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0.023193359375,
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0.040283203125,
-0.006... | 10,560 | 10560 | |
Math Forum Discussions
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Topic: distinguishability - in context, according to defi... | 4 | [
-0.05078125,
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0.007415771484375,
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0.044921875,
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0.033935546875,
0.033935546875,
0.019775390625,
0.00098419189453125,
0.03515625... | 10,561 | 10561 | |
Math Forum Discussions
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Topic: symbolic linear programming, game theory and cylin... | 4 | [
-0.04638671875,
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-0.041259765625,
-0.058... | 10,562 | 10562 | |
crossed G-algebra
Crossed G-algebra
Idea
(Here $G$ will be a group (a discrete one for the moment).)
A crossed $G$-algebra is a type of $G$-graded algebra, with an inner product and a ‘crossed’ or ‘twisted’ multiplication. They arise as the analogues of Frobenius algebras for 2d-HQFTs, equivariant
TQFTs? and in slig... | 4 | [
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... | 10,563 | 10563 | |
gravity (physics) :: Potential theory
Potential theory
For irregular, nonspherical mass distributions in three dimensions, Newton’s original vector equation (4) is inefficient, though theoretically it could be used for finding the resulting gravitational
field. The main progress in classical gravitational theory after... | 4 | [
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Coordinates
October 6th 2008, 06:19 PM #1
Member
Joined
Mar 2008
Posts
93
Thanks
1
Coordinates
Would anyone mind telling me how I convert coordinates to xy. The case I'm on is
$r=\frac{1}{1+cos\theta}$
Also find a parametrization of the form $x=x(t), y=y(t)$ for $r=1-cos\theta, 0\leq \thet... | 4 | [
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Math Help
April 17th 2009, 08:29 PM #1
Member
Joined
Apr 2008
Posts
191
sine sequence
Hello!
What is the best way to determine if a sequence like $a_n = \frac{sin(n^2)}{n}$ converges or diverges?
And how do we find its limit (the sin(n^2) on the numerator confuses me). Thanks in advance...
... | 5 | [
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Topic: When math makes sense - w/ cooking, consruction
Re... | 4 | [
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0.09375,
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0.0211... | 10,567 | 10567 | |
Proportional odds ratio model for comparison of diagnostic tests in meta-analysis
Abstract
Background
Consider a meta-analysis where a 'head-to-head' comparison of diagnostic tests for a disease of interest is intended. Assume there are two or more tests available for the disease, where each test has
been studied in ... | 4 | [
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Math - Compound
Posted by Anonymous on Saturday, January 24, 2009 at 4:48pm.
If a bank offers interest at a nominal rate of 6%, how much greater is the effective rate if interest is compounded continuously than if the compounding is quarterly?
I don't get this question at all... All I'm given is the rate and how am I... | 5 | [
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... | 10,569 | 10569 | |
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Topic: Black box optimization
Replies: 2 Last Post: May 3... | 5 | [
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0.0625,
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0.1025390625,
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Faraday's Law
Induced Voltage: Faraday's Law
To understand what happens when the magnetic field surounding a wound component changes, you need to know about Faraday's Law of Induction. Every inductor used with AC obeys it. There are four
variations on a theme by Faraday -
About your browser: if this character '×' doe... | 5 | [
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0.0673... | 10,571 | 10571 | |
Online Matrix Calculator
Matrix
See also: Gauss-Jordan Elimination, Simultaneous Linear Equations, Geometric Linear Transformation
A matrix is a rectangular array of numbers.
The size of a matrix is its dimension, namely the number of rows and columns of the matrix.
For operations of matrices, please use the two ca... | 4 | [
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0.041259765625,... | 10,572 | 10572 | |
Floating-point division - bias to avoid a result less than an 'exact' value
up vote 8 down vote favorite
4
I am currently tightening floating-point numerics for an estimate of a value. (It's: p(k,t) for those who are interested.) Essentially, the utility can never yield an under-estimate of this value:
the security of... | 5 | [
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e
Delaunay Mesh Refinement
Application Description
This benchmark is an implementation of the algorithm described by Kulkarni et al. [1]. It is the algorithm discussed in Section 1. The application produces a guaranteed quality Delaunay mesh, which
is a Delaunay triangulation with the additional constraint that no a... | 4 | [
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0.048828125,
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0.00... | 10,574 | 10574 | |
Finding a vertex of least distance to all other vertices in a graph
up vote 4 down vote favorite
Some background to my question: if $G$ is a (simple) graph of $N$ vertices, labelled by integers $0,1,...,N-1$, the closeness centrality of a vertex $i$, denoted by $C(i)$, is defined to be the
inverse of the mean distance... | 5 | [
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0.... | 10,575 | 10575 | |
Forecast Rain Effects On Microwave Links, Part 2
Part 2 of this analysis of the influence of a scatterer, such as rainfall, on the performance of a satellite communications system or other microwave link, includes near- and far-field antenna
effects.
Scatterers such as rainfall can impose hard-to-predict effects on th... | 4 | [
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Long-running averages, without the sum of preceding values
Here’s a little lunch-time diversionary math. Suppose you want a function that takes a number, and returns the average of all the numbers it’s been called with so far. Handy for continuously
updated displays, that kind of thing. Here’s a method that will ret... | 4 | [
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0.... | 10,577 | 10577 | |
Joint density probability problem
Valle18
Guest
Joint density probability problem
Hello, this is my first time submitting a problem on here so let me know if there is any more information I need to give about this problem.
1) Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the
tem... | 5 | [
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Position Function of a Moving Particle
Date: 9/9/96 at 14:15:46
From: Anonymous
Subject: Position Function of Particle Moving at....
A particle moves on a straight line with a velocity fxn
v(t)= sin(w)cos^2wt. Find its position fxn s=f(t) if f(0)=0.
Note that w is a constant.
How would I even approach this problem... | 4 | [
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0.... | 10,579 | 10579 | |
Solved assignment papers of ECO-03, ECO-05, ECO-07, ECO-12, ECO-13,ECO-14
Re: Solved assignment papers of ECO-03, ECO-05, ECO-07, ECO-12, ECO-13,ECO-14
Here I am providing the Solved assignment papers of IGNOU B.COM EC0-07 and IGNOU B.Com ECO-03:
IGNOU B.Co... | 5 | [
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Multiple choice questions!
July 23rd 2008, 06:30 AM #1
Multiple choice questions!
I need help in this probability problems.
This seems like simple, and I tried using the normal probability rule but I was told that this is to be done my binomial, which makes me stuck.
Please help!
On a given multiple ... | 4 | [
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Approximation by binary fractions
up vote 1 down vote favorite
For general Diophantine approximation, the Thue–Siegel–Roth theorem states that for any irrational algebraic number $x$, and any $\varepsilon>0$, there exists a constant $c=c(x,\varepsilon)$ such
that $$ \left|x-\frac{p}q\right| > \frac{c}{q^{2+\varepsilon... | 5 | [
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it
Colligative Properties
It turns out that for dilute solutions of nonvolatile solutes the [fp] and the [bp] are proportional to the molality of the solution.
to get an equality we add a constant and
The magnitude of the constants are different for a particular solvent and also vary with different solvents. The uni... | 4 | [
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Equations of Motion - Higher
We use most of the same symbols in Higher Physics for moving objects, though there are different symbols for distance, d, (a scalar) and displacement, s, (a vector).
Most of the time the directions of displacements, velocities and accelerations are important in Higher Physics, so we'll sti... | 4 | [
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Ohm's Law
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Ohm's Law 12,599 views
Ohm's law defines a concrete relationship between potential difference and current flow. This relationship is satisfied by all ohmic materials according to the equation potentia... | 4 | [
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Homework Help
Posted by Vincent on Saturday, December 6, 2008 at 11:43pm.
please help me with this proving question
prove that
4cos(theta) * cos(theta + 120) * cos(theta - 120) = cos(3theta)
PLEASE HELP THANKS
• math - drwls, Sunday, December 7, 2008 at 1:09am
Use the cos (A+B) and cos (A-B) formulas to rew... | 4 | [
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Parametric trig deriatives
November 7th 2009, 07:27 PM #1
Parametric trig deriatives
Given that $x=t-sint$ and $y=1-cost$ for $0\leq{\theta}\geq2\pi$
prove that
$\frac{d^2y}{dx^2}=-\frac{1}{4}cosec^4(\frac{1}{2}t)$
My working
$x=t-sint$$y=1-cost$
$\frac{dx}{dt}=1-cost$$\frac{dy}{dt}=sint$
... | 5 | [
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Re: Order of evaluation for aggregates
From: Steve Harris <steve.harris@garlik.com> Date: Tue, 22 Nov 2011 20:37:47 +0000 Cc: Andy Seaborne <andy.seaborne@epimorphics.com>, SPARQL Working Group <public-rdf-dawg@w3.org> Message-Id:
<BBFF68AA-3D38-4ECF-853D-FB45E0D9DC3E@garlik.com> To: birte.glimm@uni-ulm.de
On 22 Nov 2... | 4 | [
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... | 10,588 | 10588 | |
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Topic: Clever curiiosity --prove?
Replies: 4 Last Post: A... | 4 | [
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Legendre Symbol (Urgent)
October 20th 2008, 08:33 AM #1
Junior Member
Joined
Oct 2008
Posts
33
Legendre Symbol (Urgent)
Let Fn = 2^(2n) + 1, the nth Fermat number. The following is used as a test for the primeness of Fn. Fn is prime if and only if 3^1/(2(Fn−1)) = −1 (mod Fn).
Prove the validity of t... | 5 | [
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help ! if R is regular ring, e and f are idempotents elements then Re+Rf=R(e+f)
November 9th 2012, 11:21 AM #1
Newbie
Joined
Nov 2012
From
germany
Posts
20
help ! if R is regular ring, e and f are idempotents elements then Re+Rf=R(e+f)
can anyone help me prove this exercisese
if R is regular ring... | 5 | [
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[SOLVED] Multiplying Polynomials?
February 5th 2008, 02:11 PM #1
Newbie
Joined
Jan 2008
Posts
10
[SOLVED] Multiplying Polynomials?
This is the problem:
$(x + 3)(3x - 4)$
My math teacher taught us this:
F - first
O - outside
I - inside
L - last
So would I go something like t... | 4 | [
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Help!!! find range, domain, max point on surface!!
April 25th 2010, 06:40 AM #1
Newbie
Joined
Feb 2010
Posts
12
Hello, I was wondering if you guys can help me understanding this problem.
f(x,y)=(11-x^2-y^2+4*x+2*y)^(1/2)
Find: Identify the surface, domain, range, plot the surface,and find the ma... | 5 | [
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10ticks / Teachers / Level 6 Information
10Ticks.co.uk - Level 6 Information
Here you see the contents of the VLE Level 6 Licence. Your order will come on CD-Rom or DVD and will contain each of the pages below as a single page pdf stamped to your school name VLE. The pages
are not editable. A searchable page of conten... | 4 | [
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application of integration
January 21st 2009, 01:55 PM #1
Member
Joined
Jan 2009
Posts
91
application of integration
in a cylindrical tube of radius R and length l, the velocity v of the fluid flowing through the tube depends upon the distance r from the central axis according to:
v(r) = (P / (4nl))... | 5 | [
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TOEPLITZ RANDOM ENCODING FOR REDUCED ACQUISITION IN COMPRESSED SENSING MAGNETIC RESONANCE IMAGING
Patent application title: TOEPLITZ RANDOM ENCODING FOR REDUCED ACQUISITION IN COMPRESSED SENSING MAGNETIC RESONANCE IMAGING
Sign up to receive free email alerts when patent applicatio... | 4 | [
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Is M-theory hiding Cayley plane fibers?
Exceptional algebraic structures are omnipresent in string theory and especially M-theory and F-theory, its (so far) maximally geometrized 11-dimensional and 12-dimensional formulations.
Right now, I plan to write a rather extensive text that should
• review some basic facts ... | 4 | [
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Sine of Arcsine
Was hoping to get some help on this. Not sure how to approach. Sin[2Arcsin(-4/5)] Thank you!
For some reason I didn't think $\sin(2 \alpha) = 2 \sin (\alpha)$ Not sure why. So it's in quadrant 4 because the domain of the arcsine function is $(\pi /2) -> -(\pi /2)$ right? Now if I plug -4/5
into the equ... | 4 | [
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Recursion = headache;
12-20-2002 #1
Recursion = headache;
I got to the section of our class text that discusses Recursion, and it makes no sense to me, maybe you guys can help?
Recursive Processes
Many problems can be solved by having a subprogram call itsself recursively as a part of the solution. Rec... | 5 | [
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