content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
dividing polynomials
November 1st 2009, 07:59 AM
JQ2009
dividing polynomials
I have a question where I have to divide:
x^4-2x^3-3x^2+11x+3 by x^2-4
So doing by long division I have got as far as:
http://i38.tinypic.com/6fb12g.jpg
Sorry about it being hard to read I didn;t know how to do it b... | 4 | [
-0.003143310546875,
0.03125,
0.00677490234375,
0.07470703125,
0.03564453125,
0.0120849609375,
-0.050048828125,
-0.0361328125,
0.006195068359375,
-0.0169677734375,
0.03564453125,
-0.01055908203125,
0.03466796875,
0.05224609375,
-0.0284423828125,
0.008056640625,
-0.052978515625,
0.02... | 11,500 | 11500 | |
Maximal subgroups of a finite p-group
up vote 0 down vote favorite
I want to prove the following:
Let $G$ be a finite abelian $p$-group that is not cyclic. Let $L \ne {1}$ be a subgroup of $G$ and $U$ be a maximal subgroup of L then there exists a maximal subgroup $M$ of $G$ such that $U \leq M$
and $L \nleq M$.
Pro... | 5 | [
-0.027099609375,
0.044921875,
0.05126953125,
-0.04638671875,
0.033935546875,
-0.054931640625,
0.060546875,
-0.034423828125,
-0.0634765625,
-0.06005859375,
0.00897216796875,
0.06689453125,
0.031005859375,
-0.0576171875,
-0.0016937255859375,
0.091796875,
0.01129150390625,
-0.03808593... | 11,501 | 11501 | |
Procedures as Returned Values
Next: Building Abstractions with Data Up: Formulating Abstractions with Higher-Order Previous: Procedures as General Methods
Procedures as Returned Values
The above examples demonstrate how the ability to pass procedures as arguments significantly enhances the expressive power of ... | 5 | [
-0.08203125,
0.06201171875,
0.044921875,
0.052490234375,
-0.0947265625,
-0.06884765625,
-0.00830078125,
0.0693359375,
0.0040283203125,
-0.0037078857421875,
-0.054443359375,
0.0164794921875,
0.06640625,
0.033203125,
0.0281982421875,
0.0196533203125,
0.026123046875,
0.040283203125,
... | 11,502 | 11502 | |
Induction Proof with Inequalities
Date: 07/03/2001 at 10:37:21
From: Jay Krueger
Subject: Math Induction
Hello,
I've been trying to solve a problem and just really don't know if my
solution is correct. I have a really hard time doing these induction
problems when inequalities are involved. I was hoping you could he... | 5 | [
-0.03759765625,
0.0947265625,
0.0986328125,
0.01251220703125,
-0.0123291015625,
-0.046875,
0.04443359375,
-0.016845703125,
-0.004974365234375,
0.055419921875,
-0.10400390625,
-0.00098419189453125,
0.07958984375,
0.01507568359375,
0.00112152099609375,
0.05224609375,
-0.020751953125,
... | 11,503 | 11503 | |
A conceptual cellular interaction model of left ventricular remodelling post-MI: dynamic network with exit-entry competition strategy
Abstract
Background
Progressive remodelling of the left ventricle (LV) following myocardial infarction (MI) is an outcome of spatial-temporal cellular interactions among different cell... | 4 | [
0.046142578125,
-0.041015625,
0.035400390625,
0.0038604736328125,
-0.02978515625,
-0.0159912109375,
-0.07470703125,
0.0390625,
0.087890625,
-0.0341796875,
-0.04248046875,
0.031494140625,
0.03955078125,
0.038818359375,
-0.0284423828125,
0.004608154296875,
-0.008544921875,
-0.0339355... | 11,504 | 11504 | |
Is there an example of an algebraic stack whose closed points have affine stabilizers but whose diagonal is not affine?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Burt Totaro has a result that for a certain class of alge... | 4 | [
-0.0458984375,
-0.11181640625,
-0.042236328125,
0.024169921875,
-0.060302734375,
0.001007080078125,
-0.0036773681640625,
0.00604248046875,
0.057861328125,
-0.06494140625,
0.06884765625,
0.017822265625,
-0.022216796875,
-0.0238037109375,
-0.033203125,
0.061767578125,
0.04248046875,
... | 11,505 | 11505 | |
Possible errata in Nicolas Bourbaki's General Topology -I, Chapter 1 Exercise 2 ?
up vote 0 down vote favorite
Here is the text of Exercise:
2 a) Let $X$ be an ordered set. Show that the set of intervals
$\left[x, \rightarrow\right[$ (resp. $\left]\leftarrow, x\right]$)
is a base of topology on $X$; this topology i... | 4 | [
-0.01422119140625,
0.01531982421875,
0.07861328125,
-0.021240234375,
0.0172119140625,
0.006134033203125,
0.1064453125,
0.051025390625,
0.01611328125,
-0.0771484375,
-0.029541015625,
0.04345703125,
0.047119140625,
-0.05908203125,
0.020263671875,
0.00146484375,
0.0050048828125,
-0.07... | 11,506 | 11506 | |
Spirals and the Golden Section by John Sharp for the Nexus Network Journal vol.4 no.1 (Winter 2002)
Spirals and the Golden Section
... | 4 | [
0.032958984375,
-0.0137939453125,
0.0252685546875,
0.0027008056640625,
-0.07470703125,
-0.0693359375,
-0.01470947265625,
0.0196533203125,
-0.00836181640625,
0.036865234375,
-0.016357421875,
0.06640625,
0.08642578125,
0.03369140625,
-0.0498046875,
-0.12158203125,
-0.103515625,
0.009... | 11,507 | 11507 | |
strictly increasing function
March 28th 2009, 11:59 PM #1
Newbie
Joined
Mar 2009
Posts
4
strictly increasing function
hey guys, could you please help with this - i have been seacrhing the inernet and textbooks adn have not found an answer yet, and this is urgent.
we are currently doing functions in ... | 5 | [
-0.039794921875,
-0.0693359375,
0.0269775390625,
-0.050537109375,
-0.023193359375,
-0.04833984375,
-0.0595703125,
0.050048828125,
0.050048828125,
0.002593994140625,
0.0732421875,
0.043701171875,
0.045654296875,
0.0030059814453125,
0.060302734375,
-0.023193359375,
0.103515625,
-0.13... | 11,508 | 11508 | |
r
15. TIME AND WORK
IIMPORTANT FACTS AND FORMULAE
1. If A can do a piece of work in n days, then A's 1 day's work = (1/n).
2. If A’s 1 day's work = (1/n),then A can finish the work in n days.
3. A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B... | 4 | [
-0.0615234375,
0.032470703125,
0.00775146484375,
0.0001468658447265625,
-0.019287109375,
-0.0341796875,
-0.036865234375,
-0.04736328125,
-0.014404296875,
0.001312255859375,
0.0147705078125,
0.0034637451171875,
0.021240234375,
0.0966796875,
0.0238037109375,
0.05126953125,
-0.034179687... | 11,509 | 11509 | |
Derivative of Tutte polynomial at -1
up vote 8 down vote favorite
Let Tutte polynomial on graph with edge-set $E$ be defined as follows
$$f(q,v)=\sum_{A\subseteq E} q^{\kappa(A)} v^{|A|}$$
Here the sum is over all subgraphs $A$, $\kappa(A)$ is the number of connected components in $A$, $|A|$ is number of edges in $A... | 4 | [
-0.017333984375,
0.050048828125,
0.005950927734375,
-0.00127410888671875,
-0.037841796875,
0.0478515625,
0.006103515625,
0.000598907470703125,
0.0478515625,
0.051513671875,
-0.0159912109375,
-0.0213623046875,
0.0072021484375,
0.0186767578125,
0.0302734375,
0.045166015625,
-0.05639648... | 11,510 | 11510 | |
More fun with infinite decadic numbers
This is the sixth in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does “close to” mean?, The decadic metric, Infinite decadic
numbers).
Last time I left you with some parting exercises; here are the answers, ... | 5 | [
-0.1083984375,
-0.0147705078125,
-0.0712890625,
-0.059814453125,
-0.047607421875,
-0.032958984375,
0.0038909912109375,
0.056640625,
0.04296875,
-0.06787109375,
-0.0126953125,
-0.03759765625,
0.03662109375,
0.0191650390625,
-0.08056640625,
-0.1083984375,
0.0213623046875,
-0.01226806... | 11,511 | 11511 | |
Is O(n^2) greater than O((n^2)logn)
up vote 2 down vote favorite
1
Is O(n^2) is greater than O(n^2 log n) ?
If yes ? how ?
Can we have a simple example for this.
Also ,
What is complexity of the code below.
int unknown(int n){
int i,j,k=0;
for(i=n/2;i<=n;i++){
for(j=2;j<=n;j=j * 2){
k =k + n/2;
... | 5 | [
0.0177001953125,
0.049560546875,
-0.072265625,
0.039794921875,
-0.00927734375,
-0.09912109375,
-0.017578125,
0.01104736328125,
0.031494140625,
0.0142822265625,
-0.10986328125,
0.08984375,
0.0198974609375,
-0.06884765625,
-0.03271484375,
0.010986328125,
0.02734375,
-0.01043701171875... | 11,512 | 11512 | |
Boundary of unstable manifold
up vote 3 down vote favorite
2
Let $X$ be a vector field on a compact manifold $M$ that has the form $$ X = \lambda_1 x^1 \partial_1 + \dots + \lambda_n x^n \partial_n + \dots$$ with respect to some chart $x$ around a point $p$.
Also, let $\lambda_1, \dots, \lambda_n > 0$.
By the stable ... | 5 | [
-0.01171875,
-0.0169677734375,
0.036376953125,
-0.0205078125,
-0.0140380859375,
0.006744384765625,
0.053466796875,
0.0576171875,
-0.00286865234375,
-0.1083984375,
-0.0458984375,
0.09912109375,
-0.0101318359375,
-0.0615234375,
0.012451171875,
0.0218505859375,
-0.0078125,
-0.01397705... | 11,513 | 11513 | |
Unit Circle Word Problem
August 19th 2008, 11:53 AM
topaz192
Unit Circle Word Problem
This is reaally long. But I need help. I need the most help with word problems!!
Domingo decides to ride the ferris wheel at the carnival. When he gets into a seat that is at the bottom of the ferris wheel, he is 4 ft abov... | 4 | [
0.091796875,
0.0361328125,
-0.03564453125,
-0.12060546875,
-0.01226806640625,
0.08837890625,
-0.0125732421875,
0.09033203125,
-0.048828125,
0.0283203125,
0.0703125,
0.025146484375,
0.07568359375,
0.001251220703125,
0.0218505859375,
0.0361328125,
-0.001708984375,
0.03955078125,
-0... | 11,514 | 11514 | |
Probability Problem
April 16th 2008, 11:31 PM #1
Member
Joined
Jan 2008
Posts
130
Probability Problem
Hello All, Please Help.
1.) There are 3 white marbles, 4 blue marbles and 5 red marbles in a bag. If they are picked at random with replacement, find the probability of:
a.) The first being a b... | 4 | [
0.021240234375,
0.0118408203125,
0.01300048828125,
-0.05029296875,
-0.042724609375,
-0.037841796875,
0.068359375,
-0.0244140625,
0.0211181640625,
0.034423828125,
0.0130615234375,
-0.021728515625,
0.05908203125,
0.039306640625,
0.0123291015625,
0.0986328125,
0.037109375,
0.015869140... | 11,515 | 11515 | |
Bhaskara
Bhaskara I
Born: about 600 in (possibly) Saurastra (modern Gujarat state), India
... | 5 | [
-0.02099609375,
0.01129150390625,
-0.1240234375,
0.049560546875,
-0.08740234375,
0.01483154296875,
0.04443359375,
0.0260009765625,
-0.0947265625,
-0.0289306640625,
-0.006439208984375,
-0.09130859375,
0.045654296875,
-0.056396484375,
-0.068359375,
0.080078125,
-0.02734375,
-0.048828... | 11,516 | 11516 | |
Vector ratio problem
May 15th 2010, 01:27 AM #1
Junior Member
Joined
Apr 2010
Posts
60
Vector ratio problem
The point C has position vector (2 3) and point D has position vector (1 2).Find the position vector of the point which divides CD in the ratio 4:-3
I recognized that the minus sign in 4:-3 in... | 4 | [
-0.018310546875,
0.037353515625,
-0.0546875,
-0.10546875,
0.01397705078125,
-0.00014019012451171875,
-0.053466796875,
0.0179443359375,
0.032958984375,
-0.0142822265625,
0.07568359375,
-0.0341796875,
0.014404296875,
0.050048828125,
-0.03173828125,
-0.01446533203125,
-0.02978515625,
... | 11,517 | 11517 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
RolyPoly Group Title
How to determine the ... | 4 | [
-0.087890625,
0.0159912109375,
0.0050048828125,
0.06591796875,
0.1015625,
0.0084228515625,
-0.00726318359375,
0.02294921875,
-0.010498046875,
-0.02197265625,
0.0849609375,
-0.00982666015625,
0.007080078125,
0.03076171875,
-0.053466796875,
-0.02197265625,
-0.0400390625,
-0.008728027... | 11,518 | 11518 | |
Circular Permutations
Date: 08/07/2005 at 17:50:54
From: Ted
Subject: Combinations
With four card players at a table, how many different seating
arrangements exist from a sequential point of view? It looks like six
different seatings are possible: 1234, 1342, 1432, 1243, 1324, and
1423. This is a Liverpool Rummy ga... | 4 | [
0.09375,
-0.031982421875,
-0.01123046875,
-0.1142578125,
-0.05712890625,
0.1162109375,
0.01055908203125,
-0.013916015625,
0.0260009765625,
0.01177978515625,
-0.09814453125,
0.06201171875,
0.01239013671875,
0.007537841796875,
-0.03515625,
0.0341796875,
-0.0262451171875,
-0.067382812... | 11,519 | 11519 | |
Sum of reciprocals of squarefree numbers
June 15th 2009, 09:55 PM
Bruno J.
Sum of reciprocals of squarefree numbers
This one is for fun. I'll give my solution later.
Let $S$ be the set of squarefree positive integers. Show, as simply as you, can that $\sum_{s \in S} \frac{1}{s} = \infty$.
Of course an i... | 5 | [
-0.0830078125,
0.00836181640625,
0.04833984375,
0.04052734375,
0.03564453125,
0.0927734375,
0.0703125,
0.018798828125,
0.064453125,
-0.048583984375,
-0.09228515625,
0.0439453125,
0.052001953125,
0.01300048828125,
-0.087890625,
-0.0986328125,
0.10888671875,
0.01165771484375,
0.030... | 11,520 | 11520 | |
Python -- polynomials in finite fields. Why does only __add__() work with super() in this case?
up vote 0 down vote favorite
I'm trying to use the parent class's __div__() in order to maintain the same type so that many operations can be called at once as in the last example mix1 = bf2/bf4*bf1%bf5 in main() below wher... | 4 | [
-0.07373046875,
-0.0181884765625,
0.04248046875,
0.0184326171875,
0.024169921875,
-0.05029296875,
-0.0084228515625,
0.028564453125,
-0.0771484375,
-0.0267333984375,
-0.00177764892578125,
0.08642578125,
-0.02734375,
-0.00616455078125,
-0.0771484375,
0.01495361328125,
-0.03564453125,
... | 11,521 | 11521 | |
NCE
5. VARIANCE OF THE LINKING FUNCTION
If the means and standard deviations used to construct the linking function in Equation (1) were ... | 4 | [
-0.007171630859375,
0.0225830078125,
0.0517578125,
0.072265625,
-0.018310546875,
0.04833984375,
-0.0177001953125,
0.083984375,
0.027587890625,
0.06787109375,
0.0947265625,
-0.033203125,
0.036376953125,
-0.004150390625,
-0.055908203125,
-0.055908203125,
-0.09033203125,
0.02099609375... | 11,522 | 11522 | |
Demazure, lectures on p-divisible groups, II.7, étale and connected formal k-groups
This entry is about a section of the text
Étale? affine (resp. étale formal) $k$-groups are equivalent to finite (resp. all) Galois modules by
$E\to E\otimes_{k_s}k^\prime=\coprod_{K/k\;\text{separable}}E(k)$
$G$ is etale iff $ker F_... | 4 | [
-0.00982666015625,
0.0106201171875,
0.050537109375,
0.01263427734375,
0.057861328125,
0.0174560546875,
0.130859375,
-0.042724609375,
0.052978515625,
0.0206298828125,
0.07177734375,
-0.0157470703125,
-0.054931640625,
0.0087890625,
0.033203125,
-0.004547119140625,
-0.0634765625,
-0.0... | 11,523 | 11523 | |
Prime numbers and limit ordinals
up vote 4 down vote favorite
1
As a set, i.e. as a von Neumann ordinal, the $\omega$-th limit ordinal $\omega^2$ is fairly complex and not so easy to visualize (for the novice). But as an explicit well-ordering of $\mathbb{N}$,
there is a chance, and even more: all limit ordinals less ... | 4 | [
-0.002410888671875,
-0.00860595703125,
0.037353515625,
0.0027008056640625,
0.00970458984375,
0.09423828125,
-0.07861328125,
0.048828125,
0.05908203125,
-0.0181884765625,
-0.013671875,
0.0673828125,
0.033935546875,
0.002899169921875,
0.0419921875,
-0.037353515625,
0.020263671875,
-0... | 11,524 | 11524 | |
Subtracting fixed point binary numbers?
up vote 1 down vote favorite
ello guys,
I know this is really silly but I am a little confused about how to do the following operation by hand:
0.25-0.5? or any similar questions
Also, when it comes to fixed point signed numbers, how do you subtract them?
Say I choose my MSB... | 4 | [
0.0224609375,
0.0137939453125,
-0.0084228515625,
0.007354736328125,
-0.0003509521484375,
-0.07373046875,
0.057373046875,
0.09130859375,
0.00011873245239257812,
-0.01611328125,
-0.06689453125,
-0.1162109375,
0.061767578125,
0.0147705078125,
-0.0234375,
0.0233154296875,
-0.055908203125... | 11,525 | 11525 | |
Applications of Nonlinear Equations
February 25th 2010, 08:09 AM
collegestudent321
Applications of Nonlinear Equations
Hello,
I am having trouble with this problem, but I am sure that I am just making a dumb mistake...
Find C(t) from dC/dt = C(1-.0005C), C(0) = 1
First you use partial fractions to ... | 5 | [
-0.1279296875,
-0.0142822265625,
0.07568359375,
0.0419921875,
0.0201416015625,
-0.0791015625,
-0.06005859375,
0.031494140625,
0.035400390625,
0.10791015625,
0.052734375,
-0.0830078125,
0.011474609375,
0.058349609375,
-0.0791015625,
0.02685546875,
-0.053466796875,
-0.000835418701171... | 11,526 | 11526 | |
Presidential Elections and Statistical Inference
We use an example of presidential elections to illustrate the reasoning process of statistical inference.
The current holder of a political office is called an incumbent. Does being an incumbent give an edge for reelection? The answer seems to be yes. For example, in t... | 4 | [
0.01324462890625,
-0.09912109375,
0.043701171875,
-0.07958984375,
-0.044921875,
0.008544921875,
-0.06787109375,
0.04345703125,
-0.0103759765625,
0.08642578125,
0.030517578125,
-0.0062255859375,
0.0390625,
-0.025634765625,
0.0089111328125,
0.00811767578125,
-0.031982421875,
-0.02185... | 11,527 | 11527 | |
Finding Coefficients of Simultaneous Equations
Date: 07/03/98 at 04:12:59
From: Emma
Subject: Polynomials
The equations ax^4 + bx^3 + c = 0 and cx^4 + bx^3 + a = 0 have a
common root. Find all possible values of b, if a and c are different
numbers and a + c = 100.
I am not really sure how to even begin this problem... | 4 | [
-0.01275634765625,
0.07177734375,
-0.07470703125,
0.0057373046875,
-0.05859375,
0.060302734375,
0.0036468505859375,
-0.0301513671875,
-0.04638671875,
-0.01953125,
0.0225830078125,
-0.08740234375,
0.041748046875,
0.09912109375,
-0.01153564453125,
0.0712890625,
-0.10400390625,
-0.004... | 11,528 | 11528 | |
Accuracy of the unified approach in maternally influenced traits - illustrated by a simulation study in the honey bee (Apis mellifera)
Abstract
Background
The honey bee is an economically important species. With a rapid decline of the honey bee population, it is necessary to implement an improved genetic evaluation m... | 4 | [
-0.0284423828125,
0.00384521484375,
0.005401611328125,
0.04248046875,
-0.031005859375,
0.048583984375,
-0.09521484375,
-0.0184326171875,
-0.080078125,
0.00531005859375,
0.0791015625,
-0.1083984375,
0.04736328125,
-0.038818359375,
-0.002960205078125,
0.01031494140625,
0.031982421875,
... | 11,529 | 11529 | |
Capacitors in Series and Parallel
Figure 1(a) shows a series connection of three capacitors with a voltage applied. As for any capacitor, the capacitance of the combination is related to charge and voltage by C=QVC=QV size 12{C= {
{Q} over {V} } } {}.
Note in Figure 1 that opposite charges of magnitude QQ size 12{Q} {... | 4 | [
-0.061279296875,
0.0634765625,
-0.00927734375,
-0.0035858154296875,
0.0556640625,
0.07421875,
0.0771484375,
0.0142822265625,
0.0634765625,
0.055908203125,
0.07080078125,
-0.058349609375,
0.06396484375,
0.048828125,
-0.048828125,
-0.06689453125,
-0.10546875,
-0.01495361328125,
-0.... | 11,530 | 11530 | |
linear regression:No variables were entered into the equation.
"Perhaps have SPSS print the correlation matrix and post that along with means and SD?"
Please find the matrixes for two dependent (very simmilar) variables and each with two independent and also the regression for both dependent (it works for 21B, but ... | 4 | [
-0.04052734375,
-0.02099609375,
0.002777099609375,
0.0986328125,
0.0198974609375,
0.0869140625,
-0.000476837158203125,
0.000751495361328125,
-0.02490234375,
0.029052734375,
0.11865234375,
-0.039794921875,
0.01611328125,
-0.000293731689453125,
0.01202392578125,
0.0223388671875,
-0.081... | 11,531 | 11531 | |
Area of a Right Triangle
Date: 02/09/2002 at 19:12:15
From: Chris Pierce
Subject: Geometry
Find the area of a right triangle that has a perimeter of length 16
meters and a hypotenuse with length 7 meters.
a)sqrt56 m(sq) b)8 m(sq) c)10 m(sq) d)16 m(sq) e)none
Please show work.
Thanks.
Date: 02/10/2002 at 00:1... | 4 | [
-0.01904296875,
0.12109375,
0.00408935546875,
0.06884765625,
-0.0225830078125,
0.009033203125,
-0.0220947265625,
0.061767578125,
-0.031982421875,
0.026611328125,
0.01806640625,
-0.029052734375,
-0.02197265625,
0.1123046875,
0.0040283203125,
0.052490234375,
-0.03564453125,
-0.002380... | 11,532 | 11532 | |
angular velocity
angular velocity, time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes. In the , this displacement is represented by the
angle θ between a line on one body and a line on the other.
In engineering, angles or angular displaceme... | 4 | [
-0.054931640625,
0.0000705718994140625,
-0.09033203125,
-0.0206298828125,
-0.00531005859375,
-0.033203125,
-0.080078125,
-0.005035400390625,
0.1318359375,
-0.034423828125,
0.1103515625,
-0.0076904296875,
0.036376953125,
-0.0211181640625,
0.050048828125,
-0.029296875,
-0.033447265625,... | 11,533 | 11533 | |
On linear automorphism on positive definite matrices.
up vote 1 down vote favorite
I saw a statement in [Murakami, On automorphisms on Siegel domains] that every linear automorphism $\phi$ on the set of positive definite matrices can be represented as conjugation: i.e. there is a
matrix $B\in GL(n,\mathbb{R})$ such th... | 5 | [
-0.078125,
-0.038330078125,
-0.0157470703125,
-0.00811767578125,
-0.0859375,
0.01806640625,
0.1064453125,
-0.03759765625,
0.0294189453125,
-0.019287109375,
0.0712890625,
0.00994873046875,
-0.0262451171875,
0.0294189453125,
-0.04150390625,
0.09716796875,
0.003143310546875,
-0.039550... | 11,534 | 11534 | |
Half life Problem which I am right and the teacher is wrong
11-05-2002 #1
Shadow12345
Guest
Half life Problem which I am right and the teacher is wrong
I am dealing with Half Lives in chemistry. In case you don't know, a half life is the time it takes for half of a sample of some element to decay into other types... | 4 | [
-0.03173828125,
0.0927734375,
0.1484375,
0.0198974609375,
0.04296875,
-0.044189453125,
-0.020751953125,
0.06298828125,
-0.0087890625,
0.0986328125,
0.03369140625,
-0.0830078125,
0.0123291015625,
0.028076171875,
0.01007080078125,
0.0289306640625,
-0.0274658203125,
-0.0269775390625,
... | 11,535 | 11535 | |
Electrical Fault Calculation | Positive Negative Zero Sequence Impedance
Before applying proper electrical protection system, it is necessary to have through knowledge of the conditions of electrical power system during faults. The knowledge of electrical fault condition
is required to deploy proper different protectiv... | 4 | [
-0.04345703125,
0.0693359375,
0.029296875,
-0.0162353515625,
-0.01141357421875,
-0.021728515625,
0.0208740234375,
0.16015625,
0.031005859375,
0.0194091796875,
0.05712890625,
-0.01171875,
0.1240234375,
-0.0693359375,
-0.078125,
0.0247802734375,
-0.040771484375,
-0.041259765625,
0.... | 11,536 | 11536 | |
Problems with multiplying lists in python
up vote 1 down vote favorite
Consider a differential equation, do be precise, the Polanyi-Wigner equation:
dy/dt = - v*(y(t))^n * exp(-E/(kt))/b (*)
This equation describes the desorption behavior of particles from a surface. An experimental technique called thermal d... | 4 | [
-0.17578125,
-0.0000743865966796875,
0.048095703125,
0.060546875,
0.0712890625,
-0.1015625,
0.029052734375,
-0.01318359375,
0.02587890625,
0.00579833984375,
0.052490234375,
-0.03466796875,
-0.0155029296875,
0.036376953125,
0.1005859375,
0.017578125,
-0.036376953125,
0.10107421875,
... | 11,537 | 11537 | |
foldr is made of monoids
> import Data.Monoid
In his recent blog post What is foldr made of?, Tom Ellis made the clever observation that foldr is equivalent in power to the combination of map and compose, where
> compose :: [a -> a] -> a -> a
> compose [] = id
> compose (f:fs) = f . compose fs
We can then write... | 4 | [
-0.140625,
0.0023040771484375,
0.029296875,
0.0400390625,
-0.06201171875,
-0.060302734375,
0.01080322265625,
0.040771484375,
-0.0130615234375,
0.0096435546875,
0.0135498046875,
-0.0172119140625,
0.01495361328125,
0.0101318359375,
0.0751953125,
0.12060546875,
-0.04296875,
0.05273437... | 11,538 | 11538 | |
Black-Scholes and Schrodinger
In this post, I will perform some computations to demonstrate a relationship between the Black-Scholes PDE and the Schrodinger equation of quantum mechanics. This relationship is not new. You can,
for example, find something similar discussed here. The purpose for writing the gory details... | 4 | [
-0.09912109375,
0.03466796875,
-0.03173828125,
0.07275390625,
-0.0272216796875,
0.083984375,
-0.08935546875,
-0.0308837890625,
-0.00018024444580078125,
-0.01361083984375,
-0.014404296875,
0.0166015625,
-0.02587890625,
0.020751953125,
0.036865234375,
-0.0130615234375,
-0.0006828308105... | 11,539 | 11539 | |
Least Common Multiple
Date: 09/29/2001 at 15:19:22
From: Rachel
Subject: Least Common Multiple
What is the least common multiple of 11, 13, and 17? I've already
tried the calculator to try to find it, but that doesn't seem to be
working, because I can't find any LCM of 11, 13, and 17 that is not
11 x 13 x 17. Plea... | 4 | [
0.07763671875,
0.041259765625,
0.021240234375,
-0.11767578125,
0.05224609375,
0.07568359375,
-0.08642578125,
0.038818359375,
-0.076171875,
0.00592041015625,
0.025390625,
-0.0220947265625,
0.01416015625,
-0.05419921875,
-0.0157470703125,
-0.00140380859375,
-0.072265625,
0.0786132812... | 11,540 | 11540 | |
Notes on local groups
One of the fundamental structures in modern mathematics is that of a group. Formally, a group is a set ${G = (G,1,\cdot,()^{-1})}$ equipped with an identity element ${1 = 1_G \in G}$, a
multiplication operation ${\cdot: G \times G \rightarrow G}$, and an inversion operation ${()^{-1}: G \rightarro... | 4 | [
-0.052978515625,
0.002471923828125,
0.07421875,
0.045654296875,
-0.0250244140625,
-0.12890625,
0.043701171875,
-0.032958984375,
0.05712890625,
-0.0225830078125,
0.02001953125,
0.0091552734375,
-0.019775390625,
-0.0703125,
-0.042724609375,
0.058349609375,
-0.00811767578125,
0.069335... | 11,541 | 11541 | |
When does a ring surjection imply a surjection of the group of units?
up vote 22 down vote favorite
5
The following might be a very trivial question. If so, I don't mind it being closed, but would appreciate a reference where I could read about it.
Let $R$ and $S$ be commutative rings and let $R^\times$ and $S^\times... | 4 | [
0.00927734375,
-0.0341796875,
-0.09716796875,
0.0595703125,
0.046875,
0.0022125244140625,
0.01385498046875,
0.049072265625,
0.00506591796875,
-0.038330078125,
0.0380859375,
0.040771484375,
0.024658203125,
0.02587890625,
0.0017242431640625,
-0.0289306640625,
-0.003997802734375,
0.03... | 11,542 | 11542 | |
Combinatorial arguments
April 20th 2009, 11:56 AM #1
Junior Member
Joined
Nov 2008
Posts
50
Combinatorial arguments
Please tell me what are the combinatorial arguments that imply:
$5^5$- $\left(\begin{array}{cc}5\\4\end{array}\right)$$4^5$+ $\left(\begin{array}{cc}5\\3\end{array}\right)$$3^5$- $\l... | 5 | [
0.015869140625,
-0.031005859375,
-0.05859375,
0.00885009765625,
-0.0031280517578125,
-0.01171875,
0.07177734375,
-0.0712890625,
-0.039306640625,
0.03173828125,
-0.07275390625,
0.01141357421875,
0.0228271484375,
0.0390625,
-0.03564453125,
0.1044921875,
-0.06787109375,
-0.03149414062... | 11,543 | 11543 | |
Billiards
December 1st 2008, 07:07 AM
ihmth
Billiards
A set of billiard balls contains 15 numbered balls each having a diameter of 2.25 inches. If the container for the 15 billiard balls will be in the form of a right triangular prism, find how much
cardboard is needed in order to make the container.
Ne... | 4 | [
0.052734375,
0.11669921875,
0.00494384765625,
-0.07275390625,
-0.01531982421875,
-0.049560546875,
0.027587890625,
0.0086669921875,
-0.01318359375,
-0.01507568359375,
-0.0128173828125,
-0.07373046875,
0.009033203125,
0.0712890625,
-0.000629425048828125,
0.0135498046875,
0.03955078125,... | 11,544 | 11544 | |
how to teach your child number
how to teach your child number arithmetic mathematics - fractions, decimals, percentages and ratios 2 is part of the series of documents about fundamental education at abelard.org. These pages are a
sub-set of sums will set you free
how to teach a person number, arithmetic, mathematics ... | 4 | [
0.000736236572265625,
-0.00506591796875,
-0.01531982421875,
-0.03271484375,
-0.06103515625,
-0.037841796875,
-0.023193359375,
0.045166015625,
0.08056640625,
0.06103515625,
-0.00714111328125,
0.0084228515625,
0.00091552734375,
0.0299072265625,
-0.0174560546875,
-0.020751953125,
-0.017... | 11,545 | 11545 | |
Math Help
November 10th 2011, 05:55 AM #1
Junior Member
Joined
Nov 2011
Posts
59
Fol 6
Enderton problem 4 in Section 2.5
Let $\Gamma = \{eg \forall v_1 Pv_1, Pv_2, Pv_3, \ldots \}$. Is $\Gamma$consistent? Is $\Gamma$ satisfiable?
The completeness theorem says that any consistent set of formula... | 5 | [
-0.060546875,
-0.044677734375,
0.04052734375,
-0.0302734375,
0.0263671875,
0.06689453125,
0.047607421875,
-0.037109375,
-0.0771484375,
0.0096435546875,
0.08837890625,
-0.01287841796875,
0.013427734375,
0.064453125,
0.039306640625,
0.005706787109375,
0.01165771484375,
0.014404296875... | 11,546 | 11546 | |
GENERAL INDUSTRIAL VENTILATION
1. General dilution ventilation equation:
Rate of accumulation = Rate of generation - Rate of removal
Or
VdC = Gdt - Q'Cdt
Where:
V is the volume of the room
G is the rate of generation
Q' is the... | 4 | [
0.01287841796875,
0.057861328125,
0.016357421875,
-0.001556396484375,
0.039794921875,
-0.060546875,
0.03662109375,
0.058837890625,
0.11279296875,
0.01953125,
0.04248046875,
-0.047119140625,
0.0556640625,
0.017578125,
0.04296875,
-0.0115966796875,
0.002288818359375,
0.0830078125,
... | 11,547 | 11547 | |
Maths Help
01-15-2007 #1
Registered User
Join Date
Nov 2005
Posts
545
Maths Help
I am really stuck on this question...
I have my Maths Prelim in a couple of days and I think I am ok with most things however I am stumped by this one question.
The line y-2x=k is tangent to the circle x^2+y^2-2x-4... | 5 | [
-0.00616455078125,
-0.00141143798828125,
0.00836181640625,
0.00885009765625,
-0.031005859375,
0.07666015625,
0.04833984375,
0.03759765625,
0.00836181640625,
0.01470947265625,
0.0849609375,
-0.0498046875,
0.017333984375,
0.0115966796875,
0.0036468505859375,
0.1337890625,
0.00805664062... | 11,548 | 11548 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
puertoricangirl96 Group Title
a+s=150 45a+... | 4 | [
-0.0252685546875,
0.1259765625,
0.018310546875,
-0.036376953125,
-0.014892578125,
0.0294189453125,
0.0042724609375,
0.02734375,
-0.017578125,
0.0732421875,
0.04443359375,
-0.05029296875,
0.04736328125,
-0.035888671875,
0.0113525390625,
0.005279541015625,
-0.044189453125,
0.02026367... | 11,549 | 11549 | |
Continued fractions using all natural integers
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What can one say about the set of continued fractions $[0;a_1,a_2,\ldots]$, where $a_1,a_2,\ldots$ are a permutation of the ... | 4 | [
-0.040771484375,
-0.12158203125,
-0.026611328125,
-0.0022125244140625,
-0.00799560546875,
0.006439208984375,
0.029052734375,
-0.03857421875,
0.029541015625,
-0.00714111328125,
-0.046875,
0.0242919921875,
0.0289306640625,
0.0216064453125,
-0.0966796875,
0.04150390625,
0.0162353515625,... | 11,550 | 11550 | |
The Mathematician and the Unfinished Coffee
My wife never finishes her coffee. She’ll sip, sip, take it home, sip, sip, microwave it, and sip some more, all day long. Only rarely does she glimpse the bottom of the cup. Given that she’s a
mathematician (or, in Alfred Renyi’s word... | 4 | [
0.00089263916015625,
-0.044677734375,
0.057861328125,
0.0673828125,
-0.0286865234375,
-0.0220947265625,
0.0036163330078125,
-0.00118255615234375,
0.0296630859375,
-0.0218505859375,
-0.06884765625,
-0.035888671875,
-0.0218505859375,
0.08642578125,
-0.06591796875,
-0.0693359375,
-0.016... | 11,551 | 11551 | |
C*-algebras and quantum fields
up vote 5 down vote favorite
2
One can represent a quantum system by the Weyl algebra (which is a C*-algebra). For instance, a 1 degree of freedom system can be represented by the algebra generated by $e^{\imath t Q}, e^{\imath s
P}$. My guess for modeling a quantum field would be to loo... | 4 | [
-0.16015625,
-0.00958251953125,
-0.08837890625,
0.07861328125,
-0.134765625,
0.051025390625,
0.00830078125,
-0.01373291015625,
0.06494140625,
-0.0810546875,
0.00390625,
-0.06494140625,
0.0027618408203125,
0.0264892578125,
0.01092529296875,
0.0230712890625,
-0.0196533203125,
-0.0500... | 11,552 | 11552 | |
Cant solve these... Congruences !!
January 3rd 2010, 06:16 PM #1
Newbie
Joined
Jan 2010
Posts
11
Cant solve these... Congruences !!
Hello, i want to share some problems that i found in the internet, but i cannot verify the solutions and others i dont know how to solve them,
here:
a) If N is a o... | 5 | [
-0.050048828125,
0.07421875,
0.04638671875,
0.0019378662109375,
0.02880859375,
0.05810546875,
0.06982421875,
0.0294189453125,
-0.021484375,
-0.05908203125,
-0.0184326171875,
-0.046142578125,
0.01202392578125,
0.05126953125,
0.019287109375,
0.00188446044921875,
-0.10205078125,
0.015... | 11,553 | 11553 | |
Convex optimization problem to QPP
up vote 1 down vote favorite
1
Briefly, have the following problem: $$\sum_{i = 0}^n a_i \ (max [ F_i( \bar x ), 0 ] )^2 \rightarrow min, \\\\ s.t.\\\\ A \bar x \leq b$$ where $ F( \bar x ) $ is a linear function, $a_i \gt 0$, $n$
is huge comparing to the size of $x$.
It is possible... | 4 | [
-0.047607421875,
-0.018798828125,
-0.0027313232421875,
-0.0595703125,
-0.08740234375,
-0.03173828125,
0.0224609375,
-0.0250244140625,
0.010986328125,
0.05078125,
-0.05322265625,
0.0498046875,
0.032470703125,
-0.009521484375,
-0.00933837890625,
0.0947265625,
0.09814453125,
0.0385742... | 11,554 | 11554 | |
Sequence page
Sequences
┌────────────────────┬───────────────────┐
│Arithmetic Sequence │Geometric Sequence │
├────────────────────┼───────────────────┤
│Fibonacci Sequence │Sequence │
├────────────────────┼─────... | 4 | [
-0.1025390625,
-0.030517578125,
-0.035400390625,
-0.0537109375,
-0.0859375,
0.046875,
-0.045654296875,
-0.020751953125,
0.09521484375,
0.004608154296875,
0.020751953125,
0.040283203125,
0.038818359375,
0.01220703125,
-0.07666015625,
-0.037841796875,
-0.07568359375,
-0.0117797851562... | 11,555 | 11555 | |
Testing primality of 32-bit numbers
Date: 18 Nov 94 23:21:00 GMT
From: Anonymous
Subject: testing primality of 32-bit numbers
Dear Dr. Math,
What is the best (fastest) way to test if an arbitrary 32-bit
number is prime?
Dividing by all numbers up to the square root is not great since
you need to build a table of p... | 4 | [
0.062255859375,
-0.0230712890625,
-0.058837890625,
-0.0184326171875,
0.0615234375,
-0.062255859375,
-0.011474609375,
0.034912109375,
-0.09375,
0.04541015625,
-0.0498046875,
0.033935546875,
-0.0191650390625,
0.036376953125,
0.024658203125,
-0.057373046875,
0.00970458984375,
0.029785... | 11,556 | 11556 | |
Understanding another linear algebra proof
May 11th 2013, 04:00 PM
chlovee
Understanding another linear algebra proof
Hi again!
This is a DIFFERENT question to the one I posted yesterday. This question provides less assumptions, therefore requiring different/more to prove.
Q: Assume that z $\epsilon$ F... | 4 | [
-0.0791015625,
0.07470703125,
-0.007537841796875,
0.08740234375,
0.019287109375,
0.007049560546875,
0.09228515625,
-0.06494140625,
0.07275390625,
0.024169921875,
0.07470703125,
-0.061767578125,
0.06494140625,
0.00121307373046875,
0.0322265625,
0.01312255859375,
-0.068359375,
0.0270... | 11,557 | 11557 | |
Intervals of Increase and Decrease - Problem 1
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Intervals of Increase and Decrease - Problem 1 8,009 views
A function is increasing on an interval if its slope is positive on that interval, and decreasing if its... | 4 | [
-0.08154296875,
-0.0167236328125,
0.060546875,
0.039306640625,
-0.01953125,
-0.041748046875,
-0.043701171875,
0.0830078125,
0.018310546875,
0.0279541015625,
0.03857421875,
-0.05712890625,
0.0576171875,
0.0986328125,
-0.0078125,
-0.0281982421875,
-0.0216064453125,
-0.03076171875,
... | 11,558 | 11558 | |
and
I want to understand this connection better.
Although it sounds the most involved, arctan answers the simplest trigonometric question you could ask. “The full moon subtends seven degrees of my vision; so how big is the moon?” The arctan (with
radius = distance from Earth to moon) is the answer.
But what does th... | 4 | [
-0.0284423828125,
-0.0284423828125,
0.09033203125,
0.006256103515625,
0.0128173828125,
-0.07861328125,
0.0036468505859375,
0.061767578125,
0.0625,
0.0130615234375,
0.055419921875,
-0.08740234375,
0.00933837890625,
-0.0654296875,
-0.0225830078125,
0.005218505859375,
-0.0771484375,
0... | 11,559 | 11559 | |
E Pluribus Confusion
COMPUTING SCIENCE
E Pluribus Confusion
There’s more than one way to turn census data into congressional seats
Making Lists
Such issues notwithstanding, the notion that seats in Congress can be doled out one at a time until the House is full has a certain conceptual appeal. In fact, if you didn’... | 4 | [
-0.036376953125,
-0.02197265625,
0.0693359375,
0.006103515625,
0.00958251953125,
0.060546875,
-0.087890625,
0.044189453125,
-0.0140380859375,
0.049560546875,
-0.064453125,
0.005767822265625,
0.0673828125,
0.06640625,
-0.0498046875,
0.011962890625,
0.01214599609375,
0.06591796875,
... | 11,560 | 11560 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Proximity Spaces, Axioms
Replies: 6 Last Post: Jun... | 4 | [
-0.01806640625,
-0.0260009765625,
-0.064453125,
-0.04931640625,
0.00921630859375,
0.0576171875,
0.0185546875,
-0.0159912109375,
0.0634765625,
-0.01904296875,
0.04443359375,
-0.00677490234375,
0.054443359375,
0.004425048828125,
0.04931640625,
0.0595703125,
0.083984375,
-0.0498046875... | 11,561 | 11561 | |
On Statistical Significance and SEO Statistical “Studies”
08 Monday Nov 2010
Posted in Quack Science, SEO Myths, Statistics and Mathematics
Back in 2008, Jan M. Hoem wrote an interesting reflexion paper titled “The reporting of statistical significance in scientific journals” (VOLUME 18, ARTICLE 15, PAGES 437-442... | 5 | [
-0.03173828125,
0.0654296875,
0.002044677734375,
0.08544921875,
0.01373291015625,
0.01361083984375,
-0.0810546875,
0.1259765625,
-0.010498046875,
0.0615234375,
0.00836181640625,
0.05078125,
0.022705078125,
-0.02099609375,
0.0146484375,
-0.0458984375,
0.0291748046875,
0.035400390625... | 11,562 | 11562 | |
abelian category
Context
Enriched category theory
Could not include enriched category theory - contents
Additive and abelian categories
Homological algebra
Contents
Idea
The notion of abelian category is an abstraction of basic properties of the category Ab of abelian groups, more generally of the category $R$Mo... | 4 | [
-0.0238037109375,
-0.01446533203125,
-0.05908203125,
0.015869140625,
0.0101318359375,
-0.0458984375,
-0.029052734375,
0.0302734375,
0.001220703125,
-0.031005859375,
-0.02392578125,
-0.040771484375,
-0.0233154296875,
-0.037109375,
0.1201171875,
0.049560546875,
0.0595703125,
0.067871... | 11,563 | 11563 | |
Adv. Geometry
Posted by Taylor on Tuesday, December 11, 2012 at 7:39pm.
5. Find the area of the regular hexagon.
• Adv. Geometry - Reiny, Tuesday, December 11, 2012 at 8:43pm
In general, if each side is x
then area = 6(1/2)(x)(√3x/2)
=(3/2)√3 x^2
find area of one of the 6 equilateral triangles
... | 4 | [
0.07080078125,
0.022705078125,
-0.051513671875,
-0.00145721435546875,
-0.03955078125,
-0.00518798828125,
-0.00848388671875,
0.04052734375,
-0.004547119140625,
-0.0218505859375,
-0.036865234375,
-0.042236328125,
0.0017547607421875,
-0.032958984375,
0.09423828125,
-0.01275634765625,
-0... | 11,564 | 11564 | |
All interactions in the Universe
This essay is a natural continuation of
Masses of all objects in the Universe
. However, to classify all forces in the Universe isn't quite as easy and straightforward as to enumerate all allowed eigenvalues of \(m^2\) – and even the latter task had a lot of subtleties, as we
have see... | 4 | [
-0.061279296875,
-0.0062255859375,
0.05078125,
0.0966796875,
-0.007293701171875,
-0.040771484375,
-0.027099609375,
0.0194091796875,
0.03857421875,
0.07275390625,
0.01397705078125,
-0.06298828125,
-0.050048828125,
-0.0235595703125,
-0.04833984375,
-0.052734375,
-0.01129150390625,
-0... | 11,565 | 11565 | |
A Rotating Disk in Translation
If a circular disk of radius R is rotating with an angular speed w in equilibrium about its center, while the center is translating uniformly in the plane of rotation with velocity v (in terms of a
fixed system of inertial coordinates), then the portions of the rim at right angles to the... | 4 | [
-0.0004405975341796875,
0.0020904541015625,
-0.091796875,
-0.06201171875,
0.0673828125,
-0.035400390625,
-0.00250244140625,
0.01611328125,
0.15234375,
-0.031494140625,
0.06982421875,
0.044677734375,
-0.00095367431640625,
-0.00518798828125,
-0.0322265625,
-0.0947265625,
-0.02966308593... | 11,566 | 11566 | |
New View of Statistics: T Test & ANOVA-1
A New View of Statistics © 2000 Will G Hopkins
Go to: Next · Previous · Contents · Search · Home
Generalizing to a Population:
SIMPLE MODELS AND TESTS continued
T Test and One-Way ANOVA
model: numeric <= nominal
example: height <= sex
In other words, if you know someone... | 4 | [
0.037353515625,
0.041015625,
-0.04150390625,
-0.00128936767578125,
-0.05322265625,
0.00958251953125,
-0.0693359375,
0.0849609375,
0.05859375,
0.1083984375,
0.05859375,
-0.035888671875,
-0.024658203125,
0.1005859375,
0.09326171875,
-0.078125,
0.05224609375,
0.057861328125,
-0.0115... | 11,567 | 11567 | |
Picard group of a singular projective curve
up vote 7 down vote favorite
1
Let $X$ be a singular irreducible projective curve over an algebraically closed field and $\pi : \widetilde{X} \to X$ the normalization morphism. In the book on Neron models by Bosch et al. (I have
slightly simplified the setup), the Picard gro... | 4 | [
-0.08740234375,
0.0010223388671875,
0.062255859375,
0.025146484375,
0.08349609375,
-0.038330078125,
0.0262451171875,
0.033203125,
-0.0118408203125,
-0.07861328125,
0.1484375,
0.0191650390625,
-0.062255859375,
-0.042724609375,
0.010498046875,
0.049560546875,
-0.05078125,
0.009521484... | 11,568 | 11568 | |
Consensus properties for the deep coalescence problem and their application for scalable tree search
Abstract
Background
To infer a species phylogeny from unlinked genes, phylogenetic inference methods must confront the biological processes that create incongruence between gene trees and the species phylogeny.
Intra-... | 4 | [
-0.09814453125,
0.0177001953125,
0.0252685546875,
-0.09912109375,
0.0419921875,
-0.0198974609375,
-0.107421875,
0.01019287109375,
-0.0322265625,
0.0159912109375,
0.06591796875,
-0.051513671875,
-0.05859375,
-0.00015354156494140625,
-0.061279296875,
0.09375,
-0.07177734375,
0.003143... | 11,569 | 11569 | |
$H_2$ of a simply connected Lie group vanishes
up vote 6 down vote favorite
6
How do I show that the $H_2$ of a simply connected Lie group vanishes? (I don't want to use that $\pi_2(Lie group) = 0$, since this is what I want to prove. And I don't want to use the classification
of compact simply-connected Lie groups.)
... | 4 | [
-0.0181884765625,
0.07861328125,
0.016357421875,
0.1220703125,
-0.002349853515625,
0.05419921875,
-0.04443359375,
-0.07421875,
0.0233154296875,
-0.049072265625,
0.1083984375,
-0.023193359375,
-0.126953125,
-0.06982421875,
0.031982421875,
-0.051025390625,
-0.1142578125,
0.0205078125... | 11,570 | 11570 | |
planes, lines and points type of question.
August 14th 2006, 11:18 PM
sterps
planes, lines and points type of question.
I need help with this, do i use gaussian elimination or something else.
Three planes have eqn's given by:
x+3y-z = 4
2x+8y = 18
x-y-3z = -6
a) have no common point of int... | 4 | [
-0.033935546875,
0.005218505859375,
-0.042236328125,
-0.0101318359375,
0.026123046875,
0.0234375,
0.0281982421875,
-0.015380859375,
-0.0537109375,
0.023681640625,
0.048828125,
-0.0206298828125,
0.03125,
0.0068359375,
-0.030029296875,
0.035888671875,
-0.09716796875,
-0.1337890625,
... | 11,571 | 11571 | |
Principles of Centrifuge Modeling
Typical Applications
A geotechnical centrifuge is used to conduct model tests to study geotechnical problems such as the strength, stiffness and capacity of foundations for bridges and buildings, settlement of
embankments, stability of slopes, earth retaining structures, tunn... | 4 | [
-0.044921875,
-0.06494140625,
0.06396484375,
-0.033935546875,
0.0048828125,
-0.1142578125,
-0.09033203125,
0.08740234375,
0.00604248046875,
0.0137939453125,
-0.1103515625,
-0.056640625,
0.031005859375,
0.06640625,
-0.052001953125,
-0.03515625,
-0.038330078125,
0.0625,
-0.08154296... | 11,572 | 11572 | |
Homework Help
Posted by Marie on Friday, August 3, 2012 at 3:50pm.
Solve sin 2x + sin x = 0 for 0 (Less then or equal to) x (Less then or equal to) 2pi.
• Trigonometry - MathMate, Friday, August 3, 2012 at 6:06pm
sin(2x)=2sin(x)cos(x)
so
sin(2x)+sin(x)=0
=>
2sin(x)cos(x)+sin(x)=0
sin(x)[2co... | 4 | [
-0.064453125,
0.02783203125,
0.002105712890625,
0.0595703125,
0.00946044921875,
0.043701171875,
0.04296875,
0.0159912109375,
-0.026611328125,
-0.02392578125,
0.0712890625,
-0.07568359375,
0.02587890625,
0.0240478515625,
0.049072265625,
-0.02099609375,
-0.03173828125,
0.001846313476... | 11,573 | 11573 | |
On the lonely runner conjecture II
We consider (LRC) .
Conjecture Suppose $n>1$ runners having distinct constant integer speeds $v_k$ start at a common point (origin) and run laps on a circular track with circumference 1. Then, there is a time when no
runner is closer than $\frac{1}{n+1}$ from the origin.
We first s... | 5 | [
-0.0081787109375,
-0.0118408203125,
-0.01165771484375,
-0.010009765625,
0.0966796875,
0.0830078125,
-0.031982421875,
0.01708984375,
-0.0074462890625,
-0.06298828125,
-0.0498046875,
-0.01153564453125,
0.0303955078125,
-0.037353515625,
-0.018798828125,
-0.0029144287109375,
0.083984375,... | 11,574 | 11574 | |
Simplifying the Minority Carrier Diffusion Equations Lesson
Lesson Topic:
Simplifying the Minority Carrier Diffusion Equations
Objective of Lesson:
To learn how to solve problems for situations in semiconductors using the minority carrier diffusion equations.
Reading Assignment:
Sections 3.4.3 and 3.4.4
Homework... | 5 | [
0.0247802734375,
0.07958984375,
0.10693359375,
0.056640625,
-0.03125,
-0.0228271484375,
0.059326171875,
0.031494140625,
-0.087890625,
0.004852294921875,
0.06494140625,
-0.037353515625,
0.053466796875,
-0.00811767578125,
0.0225830078125,
-0.0186767578125,
0.0120849609375,
-0.0227050... | 11,575 | 11575 | |
28. Sums, Products, and Series
taylor (expr, x, a, n) expands the expression expr in a truncated Taylor or Laurent series in the variable x around the point a, containing terms through (x - a)^n.
If expr is of the form f(x)/g(x) and g(x) has no terms up to degree n then taylor attempts to expand g(x) up to de... | 5 | [
-0.0400390625,
-0.047607421875,
-0.0010528564453125,
0.08349609375,
0.07470703125,
-0.06689453125,
0.015625,
-0.01080322265625,
0.06494140625,
0.0296630859375,
0.0732421875,
0.0033416748046875,
-0.006683349609375,
-0.07373046875,
0.01263427734375,
-0.030517578125,
-0.046875,
-0.049... | 11,576 | 11576 | |
Tsunamis.
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Tsunamis.
Many List members will have noticed that tsunamis are similar
to Békésy waves (i.e., to cochlear waves without viable outer hair cells).
Tsunamis are "long-wavelength" or "shallow-water" waves
(wavelength much greater than... | 4 | [
-0.05029296875,
-0.03759765625,
0.140625,
-0.05322265625,
0.0198974609375,
-0.01263427734375,
-0.07275390625,
0.10205078125,
-0.032470703125,
-0.022216796875,
0.0181884765625,
-0.06982421875,
-0.056884765625,
0.0174560546875,
0.0286865234375,
0.0615234375,
-0.07666015625,
-0.053955... | 11,577 | 11577 | |
Max Slope of Curve
June 2nd 2007, 07:29 AM
SportfreundeKeaneKent
Max Slope of Curve
Could someone verify if I did this right.
http://img73.imageshack.us/img73/2226/54677980ld2.png
f’(x)= -3x^2+6x+9
f’’(x)= -6x+6
0= -6(x-1)
x=1
f’(1)=12
therefore the max slope is 12
June 2nd 2007, 0... | 4 | [
-0.04052734375,
-0.0498046875,
-0.0240478515625,
-0.09814453125,
-0.0064697265625,
0.0322265625,
-0.0167236328125,
0.0947265625,
-0.000141143798828125,
0.029541015625,
0.026611328125,
0.050537109375,
0.03466796875,
0.016845703125,
-0.0289306640625,
0.0228271484375,
-0.0703125,
0.00... | 11,578 | 11578 | |
infinity-Chern-Simons theory -- examples
This is a sub-entry of infinity-Chern-Simons theory. See there for context.
Contents
Examples
1d Chern-Simons functionals
2d Chern-Simons functionals
Poisson $\sigma$-model
3d Chern-Simons functionals
Ordinary Chern-Simons theory
Lagrangian
Let $\mathfrak{g}$ be a s... | 4 | [
-0.10498046875,
-0.0225830078125,
0.0098876953125,
0.0296630859375,
-0.057861328125,
0.050048828125,
0.035888671875,
-0.01171875,
0.0028533935546875,
-0.0303955078125,
0.055908203125,
-0.06201171875,
-0.08349609375,
-0.060791015625,
0.0625,
-0.0076904296875,
-0.10595703125,
0.05371... | 11,579 | 11579 | |
WebDiarios de Motocicleta
Sunday, April 19, 2009
Happy Easter! Christos a înviat!
Tuesday, April 14, 2009
Via David Eppstein, I find out about the Workshop on Theory and Multicores. A memorable citation from the call:
[...] Indeed, the programs of many mainstream computer science conferences, such as ASPLOS, DA... | 5 | [
-0.09423828125,
-0.08056640625,
-0.1025390625,
-0.020263671875,
0.02294921875,
-0.052490234375,
-0.010986328125,
0.059326171875,
-0.01806640625,
0.03466796875,
-0.07763671875,
0.00946044921875,
0.0177001953125,
0.00213623046875,
0.0849609375,
-0.044677734375,
-0.0037078857421875,
-... | 11,580 | 11580 | |
An efficient algorithm to perform multiple testing in epistasis screening
Abstract
Background
Research in epistasis or gene-gene interaction detection for human complex traits has grown over the last few years. It has been marked by promising methodological developments, improved translation
efforts of statistical ep... | 4 | [
-0.02099609375,
0.0228271484375,
-0.036376953125,
-0.0419921875,
0.006805419921875,
-0.0654296875,
-0.01708984375,
0.0296630859375,
-0.0247802734375,
0.0118408203125,
0.05126953125,
0.0023040771484375,
-0.031982421875,
0.03515625,
-0.0576171875,
0.0064697265625,
-0.0869140625,
0.09... | 11,581 | 11581 | |
Homework Help
Posted by Emily on Wednesday, October 6, 2010 at 3:10pm.
You are driving to the grocery store at 14.8 m/s. You are 140.0 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.440 s and that your car brakes with
constant acceleration. You are 133 m from the intersect... | 4 | [
0.037841796875,
0.0308837890625,
0.054931640625,
-0.0244140625,
-0.002044677734375,
0.04248046875,
-0.033447265625,
0.055908203125,
0.00830078125,
0.0245361328125,
0.10693359375,
-0.030029296875,
-0.0164794921875,
0.0218505859375,
-0.0654296875,
0.0296630859375,
0.06982421875,
-0.0... | 11,582 | 11582 | |
Learning to Mentor at The Math Forum: 15: Replying Example 2
From: [the mentor]
To: Student 1
Date: Sep 8 2002 6:20PM
Subject: Re: GeoPOW: Congruent Rectangles - posted 09/02/02
>The perimeter of the larger rectangle is 114 units.
Hi [Student 1]. You've done a pretty good job with this problem - your math is
right o... | 4 | [
0.01513671875,
0.052978515625,
0.039794921875,
-0.0130615234375,
-0.01953125,
-0.087890625,
0.0380859375,
0.046875,
-0.06103515625,
-0.0361328125,
-0.031005859375,
-0.0224609375,
0.0240478515625,
0.0966796875,
-0.03271484375,
-0.010498046875,
-0.006011962890625,
0.053955078125,
-... | 11,583 | 11583 | |
Binomial Theorem with coefficients
January 12th 2013, 02:35 AM
Paze
Binomial Theorem with coefficients
I can get the binomial theorem to work just fine when doing (a+b)^n but it becomes a problem as soon as I put coefficients, e.g.: (2a+3b)^n
Why? What is the difference and how do I calculate with coefficie... | 4 | [
-0.0250244140625,
-0.03173828125,
-0.083984375,
-0.011474609375,
-0.0322265625,
0.10107421875,
0.0029754638671875,
-0.078125,
0.060302734375,
0.06591796875,
0.01348876953125,
-0.060546875,
-0.0274658203125,
-0.0546875,
0.0751953125,
0.115234375,
-0.03515625,
0.0010986328125,
0.00... | 11,584 | 11584 | |
The first first law assignment -- qualitative justifications of signs
The drawing shows a PV diagram in which a gas expands at constant pressure from A to B, and then goes from B to C at constant volume. Determine the signs of ΔU, Q, and W for each of the two
processes. Justify your answers.
This is the first PV diag... | 4 | [
-0.0634765625,
0.045654296875,
-0.0177001953125,
-0.0184326171875,
-0.0198974609375,
0.011962890625,
-0.00982666015625,
0.01116943359375,
0.049072265625,
0.018798828125,
0.005645751953125,
-0.000736236572265625,
0.056884765625,
0.1259765625,
0.02587890625,
0.01904296875,
-0.052001953... | 11,585 | 11585 | |
Math Forum Discussions
Re: HELP - SQRT(3)
Posted: Nov 21, 1997 3:30 PM
In article <346CC27B.398@netvision.net.il>,
Emanuel Binnun <e_binnun@netvision.net.il> wrote:
>Hi
>
>Please help me to proove that Square root of 3 is an irrational number
>
Adding a few extra lines to the standard proof, we can get a
"construc... | 5 | [
-0.0771484375,
-0.0277099609375,
-0.055419921875,
0.03466796875,
-0.033935546875,
0.034912109375,
0.038330078125,
0.0223388671875,
0.10107421875,
-0.023681640625,
-0.035400390625,
0.004913330078125,
0.0908203125,
0.103515625,
0.031005859375,
-0.053955078125,
-0.03857421875,
0.02502... | 11,586 | 11586 | |
Modify MOSFET Models For Nonlinear Quantification
Scaling silicon CMOS transistors to smaller and smaller dimensions has made them serious competitors to traditional high-frequency transistors in many RF and microwave applications.^1 Of course,
creating accurate models of these shrinking devices is an important part of... | 4 | [
-0.046142578125,
0.06005859375,
0.0546875,
0.0830078125,
-0.06689453125,
-0.08642578125,
-0.00439453125,
0.0244140625,
0.0159912109375,
0.025634765625,
0.039306640625,
-0.017578125,
-0.0185546875,
0.029052734375,
-0.017822265625,
0.025390625,
-0.0106201171875,
0.1015625,
-0.06445... | 11,587 | 11587 | |
Relation of Smoothness to Roll-Off Rate
In §4.5.1, we found that the side lobes of the rectangular-window transform ``roll off'' as . In this section we show that this roll-off rate is due to the amplitude discontinuity at the edges of the
window. We also show that, more generally, a discontinuity in the th derivative... | 4 | [
-0.078125,
0.012451171875,
-0.040283203125,
-0.0155029296875,
-0.0010223388671875,
-0.042236328125,
-0.0064697265625,
0.020263671875,
0.08935546875,
0.013427734375,
0.054443359375,
0.08544921875,
-0.0155029296875,
-0.01953125,
-0.004241943359375,
-0.03369140625,
-0.04736328125,
-0.... | 11,588 | 11588 | |
Untitled
Thomas Bayes
English theologian and mathematician Thomas Bayes has greatly contributed to the field of probability and statistics. His ideas have created much controversy and debate among statisticians over the
years... | 4 | [
0.0322265625,
-0.01904296875,
0.0537109375,
-0.028564453125,
-0.0830078125,
-0.0021209716796875,
-0.01324462890625,
-0.0135498046875,
0.038818359375,
-0.02587890625,
-0.00107574462890625,
0.00543212890625,
0.07568359375,
-0.06982421875,
0.0038299560546875,
0.060546875,
-0.06494140625... | 11,589 | 11589 | |
Solving a Diophantine Equation
Date: 01/28/2005 at 09:01:08
From: Jonathan
Subject: Diophantine equation
Solve the following Diophantine equation: 5x + 3kx = 8k^2 - 25
We can isolate the variable x from the starting equation:
x = (8k^2 - 25)/(3k + 5)
But what comes next?
Date: 01/28/2005 at 18:06:19
From: Do... | 5 | [
-0.10205078125,
0.07568359375,
0.09912109375,
0.026611328125,
-0.050048828125,
-0.037109375,
0.0361328125,
0.0286865234375,
-0.0302734375,
0.0198974609375,
0.048095703125,
-0.0654296875,
0.06591796875,
0.0206298828125,
-0.029541015625,
0.047119140625,
-0.024658203125,
0.03735351562... | 11,590 | 11590 | |
Divisibility and Subtraction in Other Bases
Date: 07/28/99 at 00:37:11
From: Agnes Morrison
Subject: Number bases other than 10
In base ten you can tell when a number is even by looking at its last
digit. Can you recognize an even number in other bases, for example
base 2 or 3 or 4?
Thank you for the help.
Date: ... | 4 | [
-0.0341796875,
0.0004138946533203125,
-0.015625,
-0.05224609375,
0.072265625,
0.03759765625,
-0.0262451171875,
0.10302734375,
-0.1025390625,
0.021240234375,
-0.00762939453125,
0.008056640625,
-0.03857421875,
0.024169921875,
-0.0693359375,
-0.025634765625,
-0.0703125,
0.11767578125,... | 11,591 | 11591 | |
Animating the Metropolis
The Metropolis algorithm, and its generalization (Metropolis-Hastings algorithm) provide elegant methods for obtaining sequences of random samples from complex probability distributions. When I first
read about modern MCMC methods, I had trouble visualizing the convergence of Markov chains in ... | 4 | [
0.004058837890625,
-0.041748046875,
0.072265625,
-0.011962890625,
-0.001434326171875,
-0.09326171875,
-0.07958984375,
0.0220947265625,
-0.0026092529296875,
0.00653076171875,
0.042236328125,
-0.030517578125,
0.09228515625,
-0.0238037109375,
-0.000782012939453125,
-0.0064697265625,
0.0... | 11,592 | 11592 | |
Quadratic Functions exam paper question
November 11th 2008, 07:26 AM
db5vry
Quadratic Functions exam paper question
Given that the equation
kx^2 - 4x + k - 3 = 0
has equal roots, find the value of "k".
I know that a=k, b=-4, and c=k-3.
Then to put it into b^2 - 4ac I'd get:
(-4)^2 - 4 (k... | 4 | [
-0.009765625,
0.0634765625,
-0.0625,
0.015869140625,
-0.11865234375,
0.035400390625,
0.0294189453125,
-0.0177001953125,
0.0625,
0.038818359375,
0.0556640625,
-0.06689453125,
0.02783203125,
0.01287841796875,
-0.045166015625,
0.0927734375,
-0.029296875,
0.02197265625,
-0.0593261718... | 11,593 | 11593 | |
ib
#include <boost/math/distributions/cauchy.hpp>
template <class RealType = double,
class Policy = policies::policy<> >
class cauchy_distribution;
typedef cauchy_distribution<> cauchy;
template <class RealType, class Policy>
class cauchy_distribution
{
public:
typedef RealType value_type;
typedef... | 4 | [
-0.119140625,
-0.0262451171875,
0.038330078125,
-0.0341796875,
-0.03369140625,
0.055908203125,
0.01275634765625,
0.062255859375,
-0.002899169921875,
0.0152587890625,
0.1416015625,
-0.0086669921875,
0.01165771484375,
0.03076171875,
-0.01348876953125,
-0.060791015625,
-0.0135498046875,... | 11,594 | 11594 | |
Math Help
March 28th 2006, 01:29 PM #1
compuryan
Guest
if anybody could help with this that would be much appreciated:
Find the point on the graph f(x)=4/3x^3 where the tangent line is perpendicular to the line y=-16x+3
Thanks in advance
-Ryan
compuryan
if anybody could help with this that... | 4 | [
-0.061279296875,
0.039794921875,
-0.04638671875,
-0.0927734375,
-0.008056640625,
-0.00775146484375,
0.004730224609375,
0.05029296875,
0.037353515625,
0.0118408203125,
0.0791015625,
-0.0634765625,
0.07275390625,
0.06787109375,
-0.0035552978515625,
0.1171875,
0.01544189453125,
-0.031... | 11,595 | 11595 | |
Does every smooth integrable constant-rank distribution have a basis in which the structure constants are traceless?
up vote 0 down vote favorite
1
My question is local and coordinate-full: I have an open neighborhood $0 \in U \subseteq \mathbb R^n$, and I'm allowed to make it smaller around $0$. On this neighborhood,... | 4 | [
0.005218505859375,
-0.05615234375,
0.031494140625,
-0.044677734375,
0.0546875,
-0.011474609375,
0.080078125,
-0.09521484375,
0.000804901123046875,
-0.0751953125,
0.055419921875,
-0.0079345703125,
0.01104736328125,
-0.01202392578125,
0.00213623046875,
-0.025634765625,
-0.0010070800781... | 11,596 | 11596 | |
area and volume
Posted by lilman on Sunday, April 29, 2012 at 10:21pm.
A balloon has a circumference of 22in. Use the circumference to approximate the surface area of the balloon to the nearset square inch.
possible answers;
154in^2
616in^2
1,521in^2
484in^2
Find the volume of the square pyramid.Round to nearest... | 4 | [
0.034912109375,
0.0693359375,
0.00787353515625,
0.005340576171875,
-0.045654296875,
-0.0244140625,
-0.0654296875,
0.095703125,
-0.04833984375,
-0.043212890625,
-0.049072265625,
-0.0257568359375,
-0.0341796875,
0.03759765625,
-0.03564453125,
0.017822265625,
0.014404296875,
0.0031585... | 11,597 | 11597 | |
Derivation of BPSK BER in Rayleigh channel
This is a guest post by Jose Antonio Urigüen who is an Electrical and Electronic Engineer currently studying an MSc in Communications and Signal Processing at Imperial College in London. This guest
post has been created due to his own curiosity when reviewing some concepts of... | 5 | [
0.0233154296875,
0.046630859375,
0.0108642578125,
0.01458740234375,
-0.022705078125,
-0.0291748046875,
0.017822265625,
0.042724609375,
-0.030517578125,
-0.04052734375,
-0.0179443359375,
-0.00640869140625,
0.09375,
-0.1201171875,
-0.015869140625,
0.052978515625,
0.064453125,
-0.0991... | 11,598 | 11598 | |
Homework Help
Posted by Alexis on Wednesday, December 5, 2007 at 4:26pm.
I am answering questions concerning equity, the problem is a story problem, and it concerns a couple who bought a 129000 home, and then borrowed 107,000 at 7.25% for 30 years. A) How much equity does
the couple have in their home before they make... | 5 | [
0.0257568359375,
0.024658203125,
-0.00958251953125,
-0.0250244140625,
-0.103515625,
-0.0062255859375,
-0.0537109375,
0.029541015625,
-0.083984375,
0.07373046875,
0.0303955078125,
0.01507568359375,
-0.00732421875,
-0.039306640625,
0.01129150390625,
0.0478515625,
-0.03125,
-0.0563964... | 11,599 | 11599 |