content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Probability Help please guys...
May 11th 2008, 01:15 AM #1
Probability Help please guys...
Due to a math test I could not go to the extra class on Friday to get help on my tutorial, so I thought I'd ask here...
If X is a geometric random variable with p = 0,5 ; for what value of k is $P(X \leq k) \approx 0,... | 5 | [
0.046630859375,
0.00396728515625,
0.04248046875,
-0.0849609375,
-0.01519775390625,
-0.06298828125,
0.0712890625,
-0.0257568359375,
0.0087890625,
0.064453125,
-0.06591796875,
-0.01611328125,
0.0269775390625,
0.0218505859375,
-0.01611328125,
0.0205078125,
0.013671875,
-0.08447265625,... | 46,500 | 46500 | |
Google Interview Question
Google Interview Question
• A log of wood has n marks on it. Cost of cutting wood at a particular mark is proportional to the length of the log. The log of wood can be cut at all the marks. Find the optimal order of the
marks where the log should be cut in order to minimize the total c... | 5 | [
-0.0269775390625,
0.10107421875,
0.060302734375,
0.011474609375,
0.03466796875,
-0.042724609375,
0.0272216796875,
0.06640625,
0.03271484375,
0.07373046875,
-0.02978515625,
-0.0498046875,
0.016845703125,
0.0625,
-0.03662109375,
0.0033721923828125,
-0.0208740234375,
0.0081787109375,
... | 46,501 | 46501 | |
Reducing ACA₀ proof to First Order PA
up vote 10 down vote favorite
2
According to the Wikipedia ACA[0] is a conservative extension of First Order logic + PA.
http://en.wikipedia.org/wiki/Reverse_Mathematics
First of all I have a few questions about the proof:
a - What is the general sketch of this proof, is it base... | 4 | [
-0.08251953125,
0.042236328125,
0.029541015625,
0.008544921875,
0.0194091796875,
0.060791015625,
-0.03759765625,
-0.022705078125,
0.029296875,
0.1162109375,
0.052734375,
0.0830078125,
-0.0111083984375,
0.006805419921875,
-0.028076171875,
0.039794921875,
-0.0155029296875,
0.01367187... | 46,502 | 46502 | |
the intersection of a collection of compact sets is compact
February 28th 2010, 12:43 PM #1
Junior Member
Joined
Feb 2010
Posts
35
the intersection of a collection of compact sets is compact
Hello
I have to prove that the intersection of a collection of compact sets is compact
This is what I ha... | 5 | [
0.046630859375,
0.0172119140625,
-0.0021209716796875,
-0.03369140625,
-0.0069580078125,
0.07568359375,
0.05908203125,
0.048828125,
-0.04296875,
0.0025634765625,
-0.10888671875,
0.032470703125,
0.09765625,
0.00083160400390625,
-0.00176239013671875,
0.0908203125,
0.0035858154296875,
... | 46,503 | 46503 | |
Circuit Theory two mark questions with answer
Department of Electrical and Electronics Engineering.
Electric Circuits
... | 5 | [
0.0113525390625,
-0.0196533203125,
-0.017578125,
0.0380859375,
0.0419921875,
-0.0238037109375,
0.05322265625,
0.000614166259765625,
-0.00408935546875,
0.041748046875,
0.0263671875,
-0.000553131103515625,
0.1298828125,
-0.03369140625,
0.00445556640625,
-0.0184326171875,
-0.04223632812... | 46,504 | 46504 | |
limits of functions
February 15th 2009, 01:55 PM
claire511
limits of functions
Im struggling with a couple of questions... any help would be appreciated. You have to answer true or false and if true give a proof, if false give a counterexample.
(a) If lim(f(x)) as x tends to infinity is finite and limf'(x)=... | 5 | [
-0.058349609375,
-0.038818359375,
-0.0537109375,
-0.0252685546875,
0.0498046875,
0.019775390625,
-0.0177001953125,
-0.006744384765625,
0.0014801025390625,
0.0250244140625,
0.07275390625,
-0.032470703125,
0.07421875,
-0.0128173828125,
0.026611328125,
0.023681640625,
0.0166015625,
-0... | 46,505 | 46505 | |
Formula for Calculating Work
Date: 06/21/2005 at 18:07:59
From: Paul
Subject: Calculus/physics definition of work and lifting
My calculus text (Swokowski, Olnikc, Pence, 6th edition) gives the
formula for work as W = Fd and then goes on to explain that if the
force varies over the distance the formula becomes an inte... | 5 | [
-0.095703125,
-0.01019287109375,
0.0184326171875,
0.0086669921875,
-0.0286865234375,
-0.07666015625,
-0.07958984375,
0.055908203125,
0.040771484375,
0.047119140625,
-0.0262451171875,
0.083984375,
0.01409912109375,
0.0771484375,
-0.08837890625,
0.09228515625,
0.0299072265625,
0.0673... | 46,506 | 46506 | |
Help with deck of cards probability
September 4th 2008, 09:56 PM
cb22hawk
Help with deck of cards probability
I have been working on these problems for a several hours and am stuck. Can anyone help me at all? Here are the problems:
A poker hand is defined as drawing five cards at random without replacement... | 4 | [
-0.015869140625,
0.0556640625,
0.0179443359375,
-0.042236328125,
-0.04541015625,
0.050048828125,
0.045654296875,
-0.033447265625,
-0.012451171875,
0.0130615234375,
-0.05517578125,
-0.0013427734375,
-0.027587890625,
-0.03515625,
0.08154296875,
0.0673828125,
-0.068359375,
-0.08691406... | 46,507 | 46507 | |
Differential Calculus Problem
October 23rd 2008, 12:47 AM #1
Junior Member
Joined
Feb 2008
Posts
60
Differential Calculus Problem
This is a question out of a textbook and it would be greatly appreciated if you could point me in the right direction. Don't worry, I've done most of it - I just need a little... | 5 | [
-0.0458984375,
0.045166015625,
0.004669189453125,
-0.04345703125,
0.00109100341796875,
-0.034912109375,
-0.05712890625,
0.1298828125,
-0.06787109375,
0.0303955078125,
-0.039794921875,
-0.029296875,
-0.023681640625,
0.0693359375,
-0.01397705078125,
0.09130859375,
-0.07568359375,
0.0... | 46,508 | 46508 | |
Math Chat: Rearranging Letters And Spinning Sprinklers
Math Chat: Rearranging Letters And Spinning Sprinklers
Old challenge
A recent National Public Radio Weekend Edition puzzle asked to replace one letter in HOMEGAME by another letter to get the name of a famous philosopher. Bruce Cobi asks how many different lette... | 4 | [
-0.0390625,
-0.0615234375,
0.054931640625,
-0.10009765625,
-0.1044921875,
0.0595703125,
-0.00089263916015625,
-0.03271484375,
0.005950927734375,
0.046142578125,
0.0037384033203125,
0.08837890625,
-0.00115966796875,
-0.00061798095703125,
-0.0732421875,
0.04345703125,
-0.07861328125,
... | 46,509 | 46509 | |
Lower bound on $L^2$ norm of mean curvature in general dimensions
up vote 7 down vote favorite
5
Suppose $\Sigma\subset \mathbb{R}^{n+1}$ is a closed embedded hypersurface. We know that when $n=1$
$$ \int_{\Sigma} |H|^2 \geq \frac{4 \pi^2}{|\Sigma|} $$ by Gauss-Bonnet and that this is saturated on the round circle --... | 5 | [
0.0712890625,
-0.00994873046875,
0.039306640625,
-0.034912109375,
0.0025787353515625,
-0.018310546875,
-0.06005859375,
0.1484375,
-0.09130859375,
-0.0576171875,
-0.059326171875,
0.032470703125,
0.04296875,
-0.11279296875,
-0.048828125,
-0.015869140625,
0.1142578125,
-0.016967773437... | 46,510 | 46510 | |
Properties of injective functions
June 3rd 2010, 10:29 PM
Mollier
Properties of injective functions
Hi.
problem:
Show that if $f:A\rightarrow B$ is injective and $E\subseteq A$, then $f^{-1}(f(E))=E$.
I worked with this for a while but was unable to come up with a good answer.
After a bit of se... | 5 | [
0.01055908203125,
0.060302734375,
0.07470703125,
0.10205078125,
0.0186767578125,
0.0024871826171875,
0.042724609375,
0.087890625,
0.00592041015625,
0.0050048828125,
-0.058349609375,
-0.06396484375,
0.0673828125,
-0.0240478515625,
0.014892578125,
0.0380859375,
-0.0194091796875,
-0.0... | 46,511 | 46511 | |
Math Forum Discussions
Re: Paper on: The Geometric Grids of The Hieratic Numeral Signs
Posted: Nov 26, 2012 9:01 AM
Grids do not parse Egypt's numeration systems. the Old Kingdom's binary infinite series, or the Middle Kingdom's finite system shared with classical Greeks, Hellenes and Arabs until 800 AD.
To directly ... | 4 | [
-0.0673828125,
0.036865234375,
-0.0341796875,
-0.07666015625,
-0.06982421875,
-0.08984375,
-0.06689453125,
0.04541015625,
0.0211181640625,
0.0673828125,
-0.0167236328125,
-0.002044677734375,
0.039794921875,
0.047119140625,
-0.050537109375,
-0.07958984375,
-0.080078125,
0.1020507812... | 46,512 | 46512 | |
Equivalence Relations
Date: 12/10/2001 at 16:01:15
From: Joelle
Subject: Equivalence relations
Let X = {1, 2, 3, 4, 5} , Y = {3, 4}. Define a relation R on the
power set of X by
A R B if A U Y = B U Y.
a) Prove that R is an equivalence relation.
b) What is the equivalence class of {1, 2}?
c) How many equivale... | 5 | [
-0.0791015625,
-0.00084686279296875,
0.032958984375,
-0.064453125,
-0.057373046875,
0.029052734375,
0.0262451171875,
-0.07080078125,
-0.0537109375,
0.029052734375,
-0.042236328125,
-0.036376953125,
0.0235595703125,
0.0419921875,
0.01214599609375,
0.05859375,
0.044189453125,
-0.0009... | 46,513 | 46513 | |
L'Hopital's Rule and Limits
Associated Topics || Dr. Math Home || Search Dr. Math
L'Hopital's Rule and Limits
Date: 7 A... | 5 | [
-0.03369140625,
0.003326416015625,
-0.0233154296875,
-0.0009613037109375,
-0.00029754638671875,
-0.013916015625,
0.031494140625,
-0.064453125,
0.013916015625,
0.018798828125,
0.057861328125,
-0.01348876953125,
-0.05712890625,
0.04931640625,
0.052734375,
-0.03076171875,
-0.04858398437... | 46,514 | 46514 | |
a provable upper bound on the summation
up vote 0 down vote favorite
Given the following:
• an $(n \times z)$ matrix $A = {(a_1,a_2, ... ,a_n)}^{T}$ where $z \geq n$ and every $a_i$ is a $z$-dimensional row vector.
• $a_i = [a_{i1} a_{i2} ... a_{iz}]$ where $a_{ij} \geq 0 \forall j$
• $\sum_{i=1}^{z}a_{ri} = ... | 5 | [
-0.06884765625,
-0.060791015625,
-0.044189453125,
-0.004730224609375,
-0.0595703125,
0.02783203125,
0.0380859375,
0.020751953125,
-0.01904296875,
-0.00225830078125,
-0.045166015625,
0.08251953125,
0.1337890625,
-0.0257568359375,
-0.08740234375,
0.0150146484375,
0.09130859375,
-0.00... | 46,515 | 46515 | |
trying to understand the support of the sheaf of relative differentials
up vote 4 down vote favorite
2
So I'm trying to understand a proof of Belyi's theorem from http://eprints.soton.ac.uk/29785/1/b45h1koe.pdf
specifically lemma 3.4.
The setup is as follows: Let $X/\mathbb{C}$ be a curve, and let $t : X\rightarrow\... | 4 | [
-0.103515625,
0.0625,
0.07568359375,
-0.002777099609375,
0.1318359375,
0.0791015625,
0.07177734375,
0.09130859375,
-0.01519775390625,
-0.06982421875,
0.072265625,
-0.031494140625,
0.009033203125,
-0.0478515625,
-0.04736328125,
-0.027099609375,
-0.0595703125,
-0.0908203125,
-0.014... | 46,516 | 46516 | |
Not Uniform Continuous?
October 12th 2008, 12:08 PM
tttcomrader
Not Uniform Continuous?
Consider the function $f(x)=xsinx$
Now, $f'(x)=xcosx+sinx$, which is not bounded, so it is not uniformly continuous.
So pick $\epsilon = 1$, let $\delta > 0$, for every $x,y \in \mathbb {R} , |x-y| < \delta$, we nee... | 5 | [
-0.07177734375,
-0.0020904541015625,
-0.04833984375,
0.0181884765625,
-0.0205078125,
0.0262451171875,
0.0194091796875,
0.0147705078125,
-0.061767578125,
-0.0294189453125,
0.0634765625,
0.08251953125,
0.03271484375,
0.04736328125,
0.048095703125,
-0.06787109375,
0.047119140625,
-0.0... | 46,517 | 46517 | |
Example of a manifold which is not a homogeneous space of any Lie group
up vote 29 down vote favorite
20
Every manifold that I ever met in a differential geometry class was a homogeneous space: spheres, tori, Grassmannians, flag manifolds, Stiefel manifolds, etc. What is an example of a connected smooth
manifold which... | 4 | [
-0.01513671875,
-0.1005859375,
0.01129150390625,
0.07177734375,
-0.046630859375,
-0.03173828125,
-0.057861328125,
-0.15625,
0.044189453125,
0.019287109375,
0.047119140625,
-0.0277099609375,
-0.06982421875,
0.050537109375,
-0.0003910064697265625,
-0.07177734375,
-0.07568359375,
0.05... | 46,518 | 46518 | |
Brief Introduction to Conformal Geometric Algebra
Modern day graphics systems are an amalgam of matrix, vector, and tensor algebras. These algebras runs fast in computers, but the intricacies of the algebraic representation makes it difficult the
geometric insight. Within the last decade, Geometric Algebra has emerged... | 4 | [
-0.11376953125,
-0.035400390625,
-0.0908203125,
-0.034423828125,
-0.10986328125,
-0.048828125,
-0.0250244140625,
0.01043701171875,
0.0084228515625,
-0.029296875,
0.0458984375,
-0.00469970703125,
-0.00531005859375,
0.000583648681640625,
0.005889892578125,
0.04638671875,
-0.10595703125... | 46,519 | 46519 | |
Statistics 2 - Logarithmic Regression Model
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ Step 1. Enter the data into the lists. ... | 5 | [
0.0400390625,
-0.0693359375,
0.01544189453125,
0.0478515625,
0.041259765625,
-0.041015625,
0.0257568359375,
0.05029296875,
-0.01055908203125,
0.041748046875,
0.058349609375,
-0.0245361328125,
0.045654296875,
0.058349609375,
0.03955078125,
-0.00531005859375,
-0.07763671875,
-0.02746... | 46,520 | 46520 | |
Almost all graphs have a subgraph from a large class of graphs with constant order
up vote 4 down vote favorite
2
I will pose the question in relation to trees but the more general question that can be deduced from the title of this post is also very interesting.
I suspect the question might have a very trivial answe... | 5 | [
-0.05419921875,
0.0201416015625,
0.048828125,
-0.004180908203125,
0.058349609375,
-0.045166015625,
0.039306640625,
0.045166015625,
0.0091552734375,
0.0380859375,
-0.003387451171875,
-0.02001953125,
0.020263671875,
0.010498046875,
0.00531005859375,
0.03173828125,
0.068359375,
-0.028... | 46,521 | 46521 | |
Posts about ixi on Luke Palmer
In the last IΞ post, I introduced the calculus and sketched the construction of some standard mathematical objects. In this post, I will dive a little deeper and construct of all the positive
recursive types. The proof will be in an informal style (in particular, omitting the H constraint... | 4 | [
-0.091796875,
0.0186767578125,
0.1142578125,
-0.0145263671875,
-0.005523681640625,
0.037353515625,
0.1298828125,
0.0059814453125,
0.05419921875,
0.006591796875,
-0.01043701171875,
-0.0301513671875,
0.054443359375,
-0.028076171875,
0.014892578125,
0.0186767578125,
-0.006805419921875,
... | 46,522 | 46522 | |
Prime Numbers in Linear Patterns
From Math Images
Prime numbers in a table with 180 columns
Create a table with 180 columns and write down positive integers from 1 in increasing order from left to right, top to bottom. When we mark the prime numbers on this table, we obtain the linear
pattern as shown in th... | 4 | [
-0.02783203125,
0.002166748046875,
-0.0634765625,
-0.07080078125,
0.044677734375,
-0.00848388671875,
-0.02001953125,
0.034423828125,
0.007568359375,
0.0517578125,
-0.01226806640625,
0.138671875,
0.040771484375,
-0.002105712890625,
-0.0291748046875,
-0.032958984375,
-0.054443359375,
... | 46,523 | 46523 | |
Implicit differentiation problem
October 29th 2010, 06:17 AM #1
Junior Member
Joined
Sep 2010
From
Oslo
Posts
57
Thanks
4
Implicit differentiation problem
A weather balloon V, rising vertically from a point P on the ground, is observed from a point O on the ground, 90 m from P. Let θ be the angle... | 5 | [
-0.0859375,
-0.0010223388671875,
0.0751953125,
-0.00927734375,
0.046875,
-0.041748046875,
-0.0013275146484375,
0.0517578125,
0.06640625,
-0.037353515625,
0.09326171875,
0.0208740234375,
-0.00946044921875,
0.08544921875,
0.0234375,
0.005096435546875,
-0.038330078125,
0.02099609375,
... | 46,524 | 46524 | |
equation of tangent
August 18th 2009, 10:25 AM #1
Senior Member
Joined
Nov 2008
Posts
425
equation of tangent
Can someone please check my answers below for accurateness?
let me know if you get the same or different answer with me.
1. Find an equation of the tangent line to the curve y=sinx+cos2x... | 4 | [
-0.12060546875,
-0.07958984375,
0.0032196044921875,
0.00604248046875,
-0.01336669921875,
0.08203125,
0.05126953125,
0.0625,
0.025390625,
0.00150299072265625,
0.09130859375,
-0.0145263671875,
0.00653076171875,
-0.035888671875,
-0.01409912109375,
0.0174560546875,
-0.072265625,
-0.009... | 46,525 | 46525 | |
Differentiating functions with natural logs
Can anyone explain to me how to do this problem? y=ln(cos(4x))
Welcome to the Math Help Forum! :) The function $y=\ln\cos (4x)$ may be differentiated by applying the Chain Rule twice, knowing that \begin{aligned}<br /> \frac{d}{dx}\ln x&=\frac{1}{x}\\<br /> \
frac{d}{dx}\cos... | 5 | [
-0.0004730224609375,
0.00159454345703125,
0.07373046875,
-0.038818359375,
-0.0654296875,
-0.05810546875,
-0.0294189453125,
-0.0238037109375,
0.0712890625,
0.080078125,
0.0810546875,
0.0037078857421875,
0.02099609375,
0.0296630859375,
0.038330078125,
0.013916015625,
-0.043701171875,
... | 46,526 | 46526 | |
Ellipse
April 10th 2009, 08:19 AM
dan03uk
Ellipse
I am trying to find the area of the segement in the ellipse that is highlighted red. The problem I have is that I anly know the measurments for the rectangel. Which means I don't have values for
minor and major axis. On the plus side I do know the quardinates... | 4 | [
0.0303955078125,
0.01953125,
0.0213623046875,
-0.00531005859375,
0.002593994140625,
-0.068359375,
-0.0084228515625,
0.046142578125,
0.04833984375,
-0.04833984375,
0.09326171875,
0.037841796875,
-0.0294189453125,
-0.033935546875,
-0.0185546875,
0.0218505859375,
-0.023681640625,
0.04... | 46,527 | 46527 | |
Positivity of the anticanonical bundle of a rationally connected manifold
up vote 3 down vote favorite
Let $X$ be a rationally connected smooth projective variety defined over $\mathbb C$.
(1) Can we find a surface $S \subset X$ such that $ (-K_X)^2 \cdot S > 0 ? $ If yes, can we assume that $S$ intersects properly ... | 5 | [
-0.056884765625,
0.027587890625,
0.0242919921875,
0.0052490234375,
0.005523681640625,
0.0400390625,
0.0908203125,
0.033447265625,
-0.02001953125,
-0.06103515625,
0.1259765625,
-0.04296875,
0.006256103515625,
0.02978515625,
0.00836181640625,
-0.0029754638671875,
0.033935546875,
-0.0... | 46,528 | 46528 | |
Again, Saperable equation!
February 19th 2010, 02:42 PM
Ted
Again, Saperable equation!
Hello.
Am stuck at this problem in saperable equations' section in my book.
Problem: Solve the differential equation $\frac{dy}{dx}=x+y$by making the change of variable $u=x+y$.
My solution:
I did not see any... | 5 | [
-0.10205078125,
0.005645751953125,
0.0810546875,
0.05029296875,
0.00750732421875,
-0.042724609375,
0.03466796875,
-0.04638671875,
-0.04150390625,
-0.01318359375,
0.08740234375,
-0.00168609619140625,
-0.078125,
0.0693359375,
-0.039794921875,
0.00543212890625,
-0.06689453125,
-0.0084... | 46,529 | 46529 | |
Proving a field is not algebraically closed
April 12th 2009, 02:17 AM #1
Newbie
Joined
Apr 2009
Posts
4
Proving a field is not algebraically closed
Hi,
My problem is this: Prove that if p is a prime, then the field Zp is not algebraically closed. I know that using Fermat's little theorem will help b... | 5 | [
0.04296875,
0.06884765625,
-0.019775390625,
0.0849609375,
0.041748046875,
-0.03173828125,
0.061767578125,
0.0118408203125,
0.04931640625,
-0.007232666015625,
-0.04541015625,
0.0198974609375,
0.00946044921875,
0.0301513671875,
-0.03955078125,
-0.010498046875,
-0.12060546875,
-0.1054... | 46,530 | 46530 | |
Relative Error through Differentials
July 6th 2009, 05:35 PM #1
Member
Joined
Mar 2009
From
Alberta
Posts
173
Relative Error through Differentials
Hey, I'm not sure if I got this answer correct, I've been having a hard time with using differentials to find the various types of errors, I was hoping so... | 5 | [
-0.060546875,
0.03955078125,
0.037353515625,
-0.056884765625,
0.0115966796875,
0.000583648681640625,
-0.0927734375,
0.07568359375,
0.014404296875,
0.020751953125,
0.130859375,
-0.060302734375,
0.061279296875,
0.02197265625,
-0.061767578125,
0.05078125,
-0.022705078125,
0.0625,
-0... | 46,531 | 46531 | |
polar integral
8/3 times the integral (from 0 to pi) of sin^3 theta d(theta). Thank you very much.
$\int{sin^{n}(x)}dx=\frac{-1}{n}sin^{n-1}(x)cos(x)+\frac{n-1}{n}\int{sin^{n-2}(x)}dx$ You can use the formula to check if you wish. $\int{sin^{3}(x)}dx$ $\int{sin(x)sin^{2}(x)}dx$ $\int{sin(x)(1-cos^
{2}(x))}dx$ Let $u=c... | 5 | [
-0.09375,
0.01556396484375,
-0.05224609375,
0.04150390625,
-0.045166015625,
-0.052490234375,
-0.06494140625,
-0.031005859375,
-0.0162353515625,
-0.035400390625,
-0.0267333984375,
0.00160980224609375,
-0.047607421875,
-0.0291748046875,
0.00445556640625,
-0.052490234375,
0.06005859375,... | 46,532 | 46532 | |
last one
January 10th 2007, 12:33 AM
damonneedshelp
last one
Ok, heres the last one i need help with
From a window 4.2m above the ground the angle of depression ot the foot of the building across the road is 24(degrees) and the angel of elevation of the to pof the same building is 34(dg)
Determine corre... | 4 | [
0.00909423828125,
0.08642578125,
0.03369140625,
-0.0089111328125,
0.0034942626953125,
0.01348876953125,
-0.044677734375,
0.09228515625,
0.00017833709716796875,
0.0006256103515625,
0.03466796875,
-0.01129150390625,
-0.00531005859375,
0.0517578125,
0.0361328125,
0.0260009765625,
-0.120... | 46,533 | 46533 | |
Factoring Trinomials - Difference of Two Squares
Date: 12/22/97 at 22:22:15
From: Matt Church
Subject: Factoring a perfectly square trinomial, and a quadratic
trinomial
Can you show me how I would factor the common things in this?
Especially in the difference of squares, using an example problem
(because I don't wa... | 4 | [
0.033935546875,
0.11669921875,
0.0220947265625,
0.004302978515625,
0.0537109375,
0.0712890625,
-0.06884765625,
-0.06884765625,
-0.11328125,
0.00136566162109375,
0.036376953125,
0.006317138671875,
-0.0274658203125,
0.11572265625,
0.01324462890625,
0.0177001953125,
0.0196533203125,
0... | 46,534 | 46534 | |
Good effective versions of theorems of Artin and Brauer
up vote 7 down vote favorite
3
The theorem of Artin and Brauer of the title are the famous theorem in the theory of representation of finite groups.
For example, Artin's theorem is the statement that for every character $\chi$ of a finite group $G$, there are a ... | 4 | [
-0.10205078125,
-0.000051975250244140625,
0.0057373046875,
0.004638671875,
0.005279541015625,
0.076171875,
0.047607421875,
-0.05126953125,
0.0732421875,
-0.01483154296875,
0.03515625,
0.050048828125,
0.10595703125,
-0.033203125,
-0.033447265625,
-0.007568359375,
-0.04736328125,
0.0... | 46,535 | 46535 | |
Please verify
January 14th 2010, 08:45 PM #1
Member
Joined
Dec 2009
Posts
122
Please verify
I would appreciate verification on the following: 1) Completely factor the expression: a^2 + 4b -ab - 4a (I have (a+b)(a-4) ) 2) completely factor r^2-2r+1 (I have r(r-2)+1 ) Thanks!
its easy to check these
... | 4 | [
-0.0341796875,
0.037109375,
-0.00018310546875,
0.054931640625,
0.0076904296875,
0.047119140625,
0.005615234375,
0.002044677734375,
-0.0218505859375,
-0.0634765625,
-0.0211181640625,
-0.04443359375,
0.08154296875,
0.09375,
-0.0024566650390625,
0.0869140625,
-0.023193359375,
-0.00830... | 46,536 | 46536 | |
Simplifying Equations
Date: 4/11/96 at 21:58:53
From: Anonymous
Subject: Algebra
I am having trouble on the following problems. I need to solve
them by factoring, finding the lowest common denominator, then
multiplying by the reciprocal.
Simplify:
(1+(1/x-1))/(1+(1/x^2-1))
and expressing f(x+h)-f(x)/h as a single... | 4 | [
0.01141357421875,
0.08154296875,
0.08154296875,
0.02294921875,
-0.017333984375,
-0.022705078125,
-0.037109375,
0.02880859375,
-0.0634765625,
-0.03955078125,
-0.016357421875,
-0.078125,
0.046142578125,
0.052734375,
-0.07373046875,
0.036376953125,
-0.015625,
0.01275634765625,
-0.04... | 46,537 | 46537 | |
Which elements in SL2(Q) are conjugated to an element in SL2(Z)
up vote 10 down vote favorite
5
Dear all,
once again my question is all about $SL_2(\mathbb{Z})$ and $SL_2(\mathbb{Q})$ ! Which elements in $M \in SL_2(\mathbb{Q})$ can you write in the following form:
$M= NBN^{-1}$
with $N \in GL_2(\mathbb{Q})$ and $B... | 5 | [
-0.02099609375,
-0.044677734375,
-0.049072265625,
0.0712890625,
-0.0322265625,
-0.00396728515625,
0.05029296875,
-0.037109375,
0.0118408203125,
-0.125,
0.08935546875,
0.042724609375,
0.04541015625,
-0.045654296875,
-0.028564453125,
0.1025390625,
-0.006927490234375,
-0.0039978027343... | 46,538 | 46538 | |
AS Trignomerty Help!
March 29th 2008, 03:45 AM
looi76
AS Trignomerty Help!
Find the maximum value and minimum value of each of the following functions. Give the least positive values of x at which they occur.
$\frac{30}{11-5cos(\frac{1}{2}x-45)}$
March 29th 2008, 03:55 AM
Moo
Hello,
$\forall x \... | 4 | [
-0.040283203125,
0.072265625,
-0.00286865234375,
-0.0654296875,
-0.078125,
0.01531982421875,
-0.03564453125,
0.12353515625,
-0.02783203125,
-0.0030364990234375,
0.0159912109375,
-0.041259765625,
0.068359375,
0.01031494140625,
0.0057373046875,
-0.032958984375,
0.10302734375,
-0.0515... | 46,539 | 46539 | |
Mathematical Model Works In Six Dimensions for Accurate Large Machine Positioning Design and Test
It takes more than a scaled-up model to maintain accuracy when dimensions range into meters
Authored by:
Dr. Boaz Eidelberg
Parker Daedel
Irwin, Pa.
Edited by Robert Repas
robert.repas@penton.com
Key points:
• When the ... | 4 | [
-0.0284423828125,
-0.04150390625,
-0.039794921875,
-0.050048828125,
-0.06591796875,
-0.0810546875,
-0.119140625,
-0.041259765625,
0.00186920166015625,
-0.0155029296875,
0.01708984375,
0.09423828125,
0.06494140625,
-0.03466796875,
-0.0074462890625,
-0.031982421875,
0.03173828125,
0.... | 46,540 | 46540 | |
Integral Inequalities
March 15th 2009, 08:38 PM #1
Member
Joined
Oct 2008
Posts
156
Integral Inequalities
Suppose $f$ and $g$ are real valued functions that are Riemann integrable on $[a,b]$. Suppose further that $f(x) \leq g(x)$ for all $x \in [a,b]$ and that a strict inequality holds for at least
o... | 5 | [
-0.0235595703125,
0.020263671875,
0.03662109375,
-0.038818359375,
-0.01544189453125,
0.0250244140625,
0.04638671875,
-0.0015411376953125,
-0.1181640625,
0.01458740234375,
-0.07861328125,
0.0291748046875,
0.050048828125,
-0.043212890625,
0.0654296875,
0.006011962890625,
0.08251953125,... | 46,541 | 46541 | |
definite integral
February 20th 2011, 05:07 AM #1
Member
Joined
Mar 2008
From
???
Posts
169
definite integral
what is the value of
integral ( from 0 to 2pi ) |arcsin(sinx)| dx
where | | means absolute value
..answer is pi*pi/2.0 ;
$\arcsin t$ means the value of $\theta$between $-\p... | 5 | [
-0.05126953125,
-0.03759765625,
0.0546875,
-0.0036163330078125,
0.0240478515625,
-0.04248046875,
0.02294921875,
0.08544921875,
-0.060302734375,
-0.014892578125,
-0.01226806640625,
-0.02392578125,
0.04443359375,
0.03759765625,
-0.044677734375,
-0.00775146484375,
0.06982421875,
-0.01... | 46,542 | 46542 | |
User Aleksey
bio website math.sunysb.edu/~azinger
location
age
visits member for 3 years, 1 month
seen Jun 24 '13 at 16:56
stats profile views 107
May
31 awarded Critic
Apr On the proof of Robert Lipshitz's formula on Maslov index.
14 comment Why n... | 4 | [
-0.010986328125,
0.028564453125,
0.0162353515625,
0.060302734375,
-0.054931640625,
0.006317138671875,
-0.01953125,
0.10693359375,
0.0037689208984375,
0.01513671875,
0.037353515625,
-0.033447265625,
0.00909423828125,
0.031982421875,
-0.05712890625,
-0.0184326171875,
-0.06591796875,
... | 46,543 | 46543 | |
Sketching Curves
Date: 6/24/96 at 15:31:5
From: Asim Razzaq
Subject: Sketching Curves
Question: Sketch the curve, y = log natural of x / (x-1)
i.e log natural of x divided by x-1
Date: 6/24/96 at 19:38:48
From: Doctor Anthony
Subject: Re: Sketching Curves
The curve is not defined for ... | 5 | [
-0.05615234375,
-0.0380859375,
0.035400390625,
0.002716064453125,
0.039794921875,
-0.0986328125,
-0.007415771484375,
0.0576171875,
0.0238037109375,
0.0228271484375,
0.0517578125,
-0.0098876953125,
0.003662109375,
0.0712890625,
-0.054443359375,
-0.01251220703125,
-0.107421875,
-0.15... | 46,544 | 46544 | |
how to find a matrix of a linear transformation
January 28th 2013, 10:17 AM
dave52
how to find a matrix of a linear transformation
Let T: V---->W be the linear transformation that has the matrix:
1 -1 1
2 1 1
relative to the bases{(1,2,0),(1,1,1),(1,1,0)} of V and {(1,1),(1,-1)} of W
Find the m... | 5 | [
-0.056884765625,
-0.05126953125,
-0.0703125,
-0.0380859375,
0.052490234375,
-0.0269775390625,
-0.003173828125,
-0.022216796875,
0.0096435546875,
-0.0155029296875,
-0.04443359375,
-0.03173828125,
-0.0177001953125,
0.00193023681640625,
-0.0791015625,
-0.0286865234375,
-0.03759765625,
... | 46,545 | 46545 | |
Math Forum Discussions
Re: Half Measure and Correction
Posted: Mar 24, 2013 4:55 PM
On Mar 24, 1:49 pm, David C. Ullrich <ullr...@math.okstate.edu> wrote:
> On Sun, 24 Mar 2013 10:37:46 -0700 (PDT), Butch Malahide
> > <fred.gal...@gmail.com> wrote:
> >On Mar 24, 10:53 am, David C. Ullrich <ullr...@math.okstate.edu>
> ... | 5 | [
-0.01806640625,
-0.00927734375,
0.0576171875,
-0.00445556640625,
0.06689453125,
0.0262451171875,
0.0712890625,
0.019287109375,
0.06494140625,
0.017333984375,
-0.0179443359375,
-0.03759765625,
0.047119140625,
0.033447265625,
-0.036376953125,
-0.022216796875,
0.08056640625,
-0.021606... | 46,546 | 46546 | |
Curvature of the Cayley projective plane
up vote 6 down vote favorite
3
The Cayley projective plane can be realized as the homogeneous space $F_4/Spin(9)$. In this way one can compute the curvature of this symmetric space in terms of a suitable orthonormal basis and the
Lie brackets of the basic vectors. But is there ... | 4 | [
-0.0181884765625,
-0.019287109375,
0.007080078125,
-0.0172119140625,
-0.04541015625,
0.046142578125,
-0.0556640625,
-0.01226806640625,
-0.004913330078125,
-0.0020294189453125,
0.021240234375,
-0.0296630859375,
-0.1376953125,
0.1279296875,
-0.01495361328125,
-0.0208740234375,
-0.08496... | 46,547 | 46547 | |
Reimann integral question
July 8th 2011, 10:35 AM
CountingPenguins
Reimann integral question
Let f be continuous on [a,b] and suppose that, for every integrable function g defined on [a,b],∫_{a}^{b}fg=0. Prove that f(x)=0 for all x∈[a,b].
Why isn't g(x)= 0 why does it have to be f(x)? Why not both?
July 8t... | 5 | [
-0.04931640625,
-0.0035247802734375,
0.0279541015625,
0.00469970703125,
-0.003997802734375,
0.042236328125,
0.0908203125,
-0.01806640625,
0.00823974609375,
0.0031890869140625,
0.01397705078125,
0.05712890625,
0.004791259765625,
0.01904296875,
0.0234375,
0.0281982421875,
0.00346374511... | 46,548 | 46548 | |
Small resolution of a non-isolated singularity?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Consider the the Hypersurface singularity given by the equation $$xyz+st=0 \subset \mathbb{C}^5.$$ How would you describe a (... | 4 | [
-0.08056640625,
0.01397705078125,
-0.0086669921875,
0.050048828125,
-0.01239013671875,
-0.06005859375,
-0.0751953125,
0.035400390625,
-0.0257568359375,
-0.03662109375,
0.041015625,
-0.015625,
-0.080078125,
-0.01104736328125,
-0.023681640625,
-0.0216064453125,
-0.05908203125,
-0.008... | 46,549 | 46549 | |
Retracts of the Mobius Band
April 26th 2009, 02:56 PM #1
Member
Joined
Oct 2008
Posts
130
Retracts of the Mobius Band
Let M be the Mobius band. Prove there is no retract from M to its boundary.
Can I use fundamental group stuff here?
The below lemma can be found in the standard topology/algebra... | 5 | [
-0.05322265625,
0.0439453125,
-0.006439208984375,
0.019775390625,
-0.058837890625,
0.10693359375,
0.10986328125,
0.0113525390625,
-0.042236328125,
-0.059814453125,
0.0712890625,
0.031982421875,
0.032470703125,
-0.05078125,
0.032958984375,
-0.049072265625,
-0.006072998046875,
0.1259... | 46,550 | 46550 | |
fourth order Runge–Kutta in C# - two differential equations
July 20th 2011, 03:04 PM #1
Newbie
Joined
Jul 2011
Posts
1
fourth order Runge–Kutta in C# - two differential equations
Hello!
I am trying to solve two differential, non-linear equations in C# using fourth-order Runge-Kutha method.
... | 4 | [
-0.04443359375,
0.0238037109375,
-0.00811767578125,
-0.018310546875,
-0.1171875,
0.0216064453125,
-0.06640625,
0.0306396484375,
0.016357421875,
0.040283203125,
0.0150146484375,
-0.0400390625,
-0.03271484375,
-0.039306640625,
0.007415771484375,
0.052978515625,
-0.05859375,
-0.039794... | 46,551 | 46551 | |
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: Exp() function reloaded
Replies: 11 Last Post: Apr... | 5 | [
-0.0289306640625,
0.00049591064453125,
-0.0007476806640625,
0.005218505859375,
0.0291748046875,
-0.1220703125,
-0.0184326171875,
0.054931640625,
0.01336669921875,
0.08740234375,
0.0693359375,
-0.05029296875,
-0.0341796875,
0.0159912109375,
0.060302734375,
0.01416015625,
-0.1059570312... | 46,552 | 46552 | |
cubic diophantine equation
March 23rd 2008, 01:58 PM
dioph
cubic diophantine equation
Please help me to find a source/reference for solving the equation (or similar) 4u^3 - v^2 = 3.
I am guessing that the only solutions are (1,1), (1,-1), (7,37), and (7,-37), but my efforts have not been successful.
Th... | 5 | [
-0.0108642578125,
0.0004253387451171875,
-0.048583984375,
0.05322265625,
0.00274658203125,
-0.01348876953125,
-0.00933837890625,
-0.036376953125,
-0.035400390625,
-0.08154296875,
-0.01953125,
-0.02490234375,
-0.060546875,
0.042724609375,
0.06005859375,
-0.0281982421875,
0.00228881835... | 46,553 | 46553 | |
Math Forum Discussions
Re: Help Needed in math
Posted: Apr 29, 2014 11:02 PM
On Tue, 29 Apr 2014, konyberg wrote:
> > Find the largest values of the integer a for which ax^2-5x-3 is negative for all values of x.
> set a = (5x + 3) / x^2 and find the minima of this function. This will, with
> your constraints, give the... | 4 | [
-0.0186767578125,
0.0712890625,
0.0115966796875,
-0.0595703125,
-0.0107421875,
0.035888671875,
-0.01031494140625,
0.020263671875,
0.0284423828125,
0.0439453125,
0.0303955078125,
0.04443359375,
0.014404296875,
0.003692626953125,
-0.0198974609375,
0.02880859375,
0.052001953125,
-0.04... | 46,554 | 46554 | |
Functions of functions
August 8th 2008, 07:42 AM #1
Newbie
Joined
Jul 2008
Posts
16
Functions of functions
its easy to plug a function into a function, we did that in algebra.
f(x)=x^2 g(x) = (x+2) fog(x)= x^2+4x+4
but how about going the other way
if fog(x)= 3x^2+2x+8 and g(x) = (x^2+4x), w... | 5 | [
-0.039306640625,
-0.0390625,
0.07568359375,
0.04443359375,
-0.08642578125,
-0.00921630859375,
0.014892578125,
-0.04052734375,
0.0208740234375,
0.0286865234375,
0.08935546875,
-0.0277099609375,
-0.02783203125,
0.0177001953125,
-0.0296630859375,
0.03857421875,
0.000164031982421875,
0... | 46,555 | 46555 | |
PostgreSQL Extension Network
Contents
!mpq data type
The !mpq data type can store rational numbers whose denominator and numerator have arbitrary size.
Rational numbers are converted in canonical form on input (meaning that the denominator and the numerator have no common factors) and all the operators will return a... | 5 | [
0.033447265625,
-0.04052734375,
-0.048095703125,
-0.02099609375,
-0.00113677978515625,
0.0283203125,
0.00188446044921875,
-0.0037384033203125,
0.0078125,
-0.0179443359375,
-0.04443359375,
0.0291748046875,
0.002105712890625,
0.0211181640625,
0.03515625,
-0.04248046875,
-0.000579833984... | 46,556 | 46556 | |
On One point Lindeloffication of topological spaces
up vote 3 down vote favorite
As you Know when we define a topological space to be the one point compactification of the topological space $X$, we look for a compact space $Y$ such that $X\subset Y$ and $X$ is dense in $Y$ and $|
Y-X|=1$.
But if we add an Extra condi... | 4 | [
0.0245361328125,
-0.080078125,
-0.011474609375,
0.00170135498046875,
0.07373046875,
0.028564453125,
0.1220703125,
-0.058837890625,
-0.031982421875,
-0.0498046875,
0.0118408203125,
0.00164794921875,
0.051513671875,
0.02099609375,
0.0810546875,
0.00665283203125,
0.0458984375,
-0.1035... | 46,557 | 46557 | |
Showing a function is one-to-one or onto.
April 10th 2010, 11:11 AM #1
Member
Joined
Mar 2010
Posts
75
Showing a function is one-to-one or onto.
Can someone help me understand how to do this problem?
Let F:N -> {0,1} be defined by F(n)= 0 if 3|n or 1 if 3|n
a)Show F is NOT one-to-one.
b)Sho... | 4 | [
-0.0142822265625,
-0.039794921875,
-0.0615234375,
-0.05517578125,
-0.038330078125,
0.0654296875,
0.0283203125,
-0.005157470703125,
0.01708984375,
-0.051513671875,
-0.0458984375,
-0.06787109375,
0.01904296875,
0.03564453125,
0.01251220703125,
-0.0201416015625,
-0.0050048828125,
-0.1... | 46,558 | 46558 | |
Powers that are fractions?
June 25th 2012, 10:17 PM #1
Newbie
Joined
Jun 2012
From
Australia
Posts
3
Powers that are fractions?
I have a question I'm not sure how to answer because I've never seen a power that is a fraction before. I need to simplify;
x^(1/3) times x^(2/3)
After some googli... | 4 | [
0.00064849853515625,
-0.046142578125,
-0.13671875,
0.0966796875,
-0.04931640625,
-0.060791015625,
0.036865234375,
-0.0732421875,
0.06591796875,
-0.00323486328125,
0.00946044921875,
-0.04248046875,
0.0311279296875,
0.058837890625,
0.08740234375,
0.1015625,
-0.0576171875,
0.078613281... | 46,559 | 46559 | |
infimum and supremum of two argument function in particular set
November 12th 2010, 09:17 AM #1
Junior Member
Joined
Jan 2010
Posts
53
infimum and supremum of two argument function in particular set
Here is the task:
Find supremum and infimum of $f(x,y)=x^2+2xy+y^2$, if $(x,y)\in D, D=\{(x,y)\mid 6x^... | 4 | [
0.053466796875,
-0.04248046875,
0.040283203125,
-0.045166015625,
0.058837890625,
0.0087890625,
-0.0703125,
0.08447265625,
-0.021240234375,
-0.021240234375,
0.0546875,
0.0302734375,
0.03857421875,
-0.026123046875,
-0.01300048828125,
0.02392578125,
0.025146484375,
-0.0830078125,
-0... | 46,560 | 46560 | |
Need help with Mathematical induction question?
October 29th 2012, 05:56 PM #1
Newbie
Joined
Oct 2012
From
Richmond VA
Posts
3
Need help with Mathematical induction question?
I'm working on a problem and I'm not sure I have this correct on how to do it.
here is the problem
Prove the following... | 5 | [
-0.11083984375,
0.036376953125,
0.15234375,
0.033935546875,
0.0036773681640625,
-0.046142578125,
-0.005340576171875,
0.031494140625,
0.00124359130859375,
0.0089111328125,
-0.15234375,
-0.0693359375,
-0.02734375,
0.00136566162109375,
-0.07421875,
0.027099609375,
0.052978515625,
0.04... | 46,561 | 46561 | |
Applications of Histograms
7.9: Applications of Histograms
Created by: CK-12
Practice Applications of Histograms
You're collecting data on the amount of minutes that users stay on your website. You have the results for 1,000 users and you want to organize these results in intervals of 3 minutes. You've noticed
that ... | 4 | [
0.05810546875,
0.0263671875,
-0.08349609375,
-0.080078125,
-0.07958984375,
0.038818359375,
-0.00141143798828125,
0.0208740234375,
-0.00653076171875,
0.0262451171875,
0.017822265625,
-0.0294189453125,
0.0771484375,
-0.002471923828125,
0.034912109375,
-0.08056640625,
-0.001808166503906... | 46,562 | 46562 | |
Smallest area and Smallest Length of String around Box.
I have a problem! I have attached it to the thread, just open the attachment please.
For starters, I think you'll find that the length of the string is actually 6x + 2y...
thankyou for that. are you able to help any further? Is my method ok besides my mistake? H... | 5 | [
0.11328125,
0.09130859375,
-0.03515625,
-0.0262451171875,
-0.0166015625,
0.042724609375,
-0.0179443359375,
0.07666015625,
-0.0791015625,
0.00201416015625,
0.044677734375,
0.011962890625,
-0.0015869140625,
-0.0047607421875,
-0.087890625,
0.1435546875,
-0.0159912109375,
0.03271484375... | 46,563 | 46563 | |
x-th moment method
up vote 1 down vote favorite
For a real-valued random variable, $X$, the first moment method, is simply
$P(X\ge\mathbb{E}[X])>0$
This can be extended to the second moment quite easily:
[S:$P(X\ge\mathbb{E}[X]+\sqrt{Var[X]})>0$:S]
$P(|X-\mathbb{E}[X]|\ge\sqrt{Var[X]})>0$
The question must be ask... | 5 | [
0.017333984375,
-0.044677734375,
0.00762939453125,
-0.06982421875,
0.01123046875,
-0.022705078125,
0.048095703125,
0.07275390625,
0.0791015625,
0.00762939453125,
-0.00469970703125,
0.1181640625,
0.0849609375,
-0.035888671875,
0.0135498046875,
-0.0179443359375,
0.10498046875,
-0.023... | 46,564 | 46564 | |
Area between curve help?
April 13th 2009, 12:58 PM #1
Newbie
Joined
Apr 2009
Posts
5
Area between curve help?
Let R be the region in the first quadrant bounded above by y=4x+3 and y=x^2+3
A. Find the area of R
I did this part and I got 10.6667. Can anyone confirm this?
B. The line x=c divi... | 5 | [
-0.00012874603271484375,
-0.0177001953125,
-0.05322265625,
-0.01458740234375,
0.01513671875,
-0.022216796875,
0.00029754638671875,
0.08544921875,
0.03173828125,
-0.0220947265625,
0.0059814453125,
-0.022216796875,
-0.0306396484375,
0.08935546875,
0.08837890625,
-0.013671875,
-0.020629... | 46,565 | 46565 | |
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: ABS: The Geometry of Congress
Replies: 0
ABS: ... | 4 | [
-0.0546875,
-0.00677490234375,
0.115234375,
-0.047607421875,
-0.02685546875,
0.0120849609375,
-0.037841796875,
0.0068359375,
-0.025634765625,
0.1396484375,
-0.01409912109375,
0.020751953125,
0.08447265625,
0.0185546875,
-0.037353515625,
0.055908203125,
-0.00124359130859375,
-0.0103... | 46,566 | 46566 | |
A Variance-Tail Description for Continuous Probability Distributions
up vote 8 down vote favorite
1
Start with a continuous probability distribution given by a density function f(x). Let X be a real random variable whose distribution is given by the probability distribution.
I would like to ask about the following sp... | 5 | [
-0.02490234375,
-0.0264892578125,
0.0390625,
0.0159912109375,
0.0322265625,
0.0137939453125,
0.064453125,
0.0546875,
0.0167236328125,
0.0277099609375,
0.00274658203125,
0.0654296875,
0.05810546875,
0.056884765625,
-0.0186767578125,
-0.013671875,
0.0966796875,
-0.0115966796875,
-0... | 46,567 | 46567 | |
The Bayes Surface and more (updated 19jan13)
George Rebane
[This post continues the numeracy series on the Bayes contribution to our civilization. For more background and examples, please see ‘Making Medical Decisions’.]
What you see here is a 3D graphical illustration of the celebrated Bayes Theorem (or formu... | 5 | [
-0.0301513671875,
-0.005157470703125,
0.080078125,
-0.0089111328125,
-0.0137939453125,
-0.033447265625,
0.0230712890625,
0.06298828125,
0.05078125,
0.0888671875,
-0.029296875,
0.01031494140625,
0.07666015625,
0.022705078125,
-0.03662109375,
0.0045166015625,
-0.03515625,
-0.03515625... | 46,568 | 46568 | |
When is an Albanese variety principally polarized?
up vote 9 down vote favorite
1
Let (X,x) be a pointed projective variety. Then there exists an abelian variety V which is universal for maps of pointed varieties $(X,x) \to (A,e_A)$, called the albanese variety. When X is a curve,
the variety V is isomorphic to the Ja... | 4 | [
-0.0174560546875,
-0.034423828125,
0.017822265625,
0.00897216796875,
-0.0027923583984375,
0.02392578125,
0.047607421875,
-0.0634765625,
-0.0361328125,
-0.0220947265625,
0.1083984375,
0.0024261474609375,
-0.043212890625,
0.06298828125,
0.07568359375,
0.06689453125,
-0.05322265625,
-... | 46,569 | 46569 | |
Problem Solving - Shore Lights
May 30th 2007, 03:35 AM #1
An observer on a boat on Port Phillip Bay at night can see three different shore lights. The red one winks every 6 seconds, the white one every 10 seconds and the green one every 14 seconds
a. How often do the red and green lights wink on together?
... | 4 | [
-0.0198974609375,
-0.0478515625,
0.0908203125,
0.01239013671875,
0.01507568359375,
-0.01171875,
0.00848388671875,
-0.05029296875,
0.0228271484375,
-0.0235595703125,
0.05126953125,
-0.06884765625,
-0.046630859375,
0.0234375,
0.038818359375,
0.0888671875,
-0.1025390625,
-0.0444335937... | 46,570 | 46570 | |
Use the matrix representation of relations to compute the following
March 18th 2010, 09:55 AM
Runty
Use the matrix representation of relations to compute the following
Let $C=\{a,b,c,d,e,f,g,h\}$. Let $R=\{(f,g),(h,a),(d,e),(e,e),(g,h),(b,c),(b,f),(c,g )\}$ be a relation on the set $C$. Use the matrix representa... | 5 | [
-0.00836181640625,
0.03515625,
-0.0888671875,
-0.01531982421875,
-0.028564453125,
0.11865234375,
-0.000152587890625,
-0.006927490234375,
-0.013671875,
0.00665283203125,
-0.0712890625,
-0.05859375,
-0.0030517578125,
-0.004425048828125,
-0.048583984375,
0.030029296875,
0.0302734375,
... | 46,571 | 46571 | |
Solve sinx+ sin2x+ sin3x= 1
Last edited by mr fantastic; July 24th 2011 at 07:02 PM. Reason: Re-titled.
$\displaystyle \sin 2x = 2\sin x \cos x$ $\displaystyle \sin 3x = 3\sin x - 4\sin^3 x$
can you help me complete? it not so easy like that
Post #2 puts you on the right track. I'll add that line 2 of that reply fol... | 4 | [
-0.06689453125,
-0.0152587890625,
-0.03076171875,
0.0322265625,
-0.010009765625,
0.003997802734375,
-0.006500244140625,
-0.046630859375,
0.0152587890625,
0.0093994140625,
0.04931640625,
-0.11181640625,
-0.00811767578125,
0.0162353515625,
0.08642578125,
0.0031585693359375,
0.008789062... | 46,572 | 46572 | |
Average Hamming distance between strings after some number of random substitutions in a population of initially identical elements
up vote 0 down vote favorite
1
Let's say I have a set $S$, $(s_1, ..., s_i, ..., s_P) \in S$, of $P$ identical strings over a $k$-letter alphabet, each of length $|s_i| = L$. With uniform ... | 5 | [
-0.007659912109375,
-0.06591796875,
-0.017578125,
-0.050048828125,
-0.0233154296875,
0.035888671875,
0.005279541015625,
0.07666015625,
0.0299072265625,
-0.01324462890625,
0.0218505859375,
0.06787109375,
0.0556640625,
-0.09228515625,
-0.051025390625,
0.0220947265625,
0.07421875,
-0.... | 46,573 | 46573 | |
Skilled and Semi-Skilled Workers
Date: 09/04/2002 at 04:42:54
From: Riya Bajaj
Subject: Work and time problem
Hi Dr. Math,
This is regarding a problem on "work and time" in the Dr. Math FAQ:
Working Together
http://mathforum.org/dr.math/faq/faq.working.together.html
Jack can paint a house in 5 days, and Rich... | 4 | [
0.01318359375,
-0.00035858154296875,
0.10400390625,
-0.01544189453125,
-0.0673828125,
-0.044677734375,
-0.05859375,
-0.03662109375,
-0.146484375,
-0.00173187255859375,
-0.044921875,
-0.024169921875,
0.0128173828125,
0.05615234375,
-0.01348876953125,
-0.0205078125,
-0.08251953125,
-... | 46,574 | 46574 | |
Stirling's formula manipulation
April 16th 2009, 02:07 AM #1
Newbie
Joined
Nov 2007
Posts
13
Stirling's formula manipulation
Hi, I'm stuck on part of this question involving Stirling's formula. I have to show that for $p+q=1$ (they're probabilities),
$\sum_{i=1}^\infty {2n \choose n}p^n q^n = \infty$... | 5 | [
0.00086212158203125,
-0.02587890625,
0.03125,
0.09765625,
-0.06298828125,
0.045166015625,
0.060302734375,
0.08251953125,
0.08837890625,
0.041748046875,
-0.068359375,
0.0006561279296875,
-0.000598907470703125,
0.04248046875,
0.01361083984375,
0.03662109375,
0.029052734375,
-0.018310... | 46,575 | 46575 | |
MHF4U Grade 12 Advanced Functions – Exam
Grade 12 – Advanced Functions
Exam
Unit 1: Polynomial Functions
• Polynomial Expression has the form:
a[n]x^n+a[n-1]x^n-1+a[n-2]x^n-1+ … + a[3]x^3+ a[2]x^2+ a[1]x+ a[0]
□ n: whole number
□ x: variable
□ a: coefficient X ER
□ Degree: the highest ex... | 4 | [
-0.017333984375,
0.025634765625,
-0.01300048828125,
0.014892578125,
0.050537109375,
-0.01556396484375,
-0.0029296875,
-0.0089111328125,
-0.00689697265625,
0.01544189453125,
0.107421875,
-0.037353515625,
-0.005035400390625,
0.01904296875,
0.04248046875,
0.02685546875,
-0.048828125,
... | 46,576 | 46576 | |
A set of n positive numbers. Find the largest possible value of n.
May 16th 2012, 12:35 PM #1
Newbie
Joined
May 2012
From
Ohio
Posts
7
A set of n positive numbers. Find the largest possible value of n.
Sorry I'm new to the forums and I'm not sure if this belongs here but some help on this one would b... | 4 | [
-0.032470703125,
0.072265625,
0.010009765625,
-0.06103515625,
-0.057861328125,
-0.0078125,
0.051513671875,
0.002288818359375,
-0.0966796875,
0.038818359375,
-0.08251953125,
0.03515625,
-0.01483154296875,
0.00138092041015625,
-0.0189208984375,
0.046142578125,
-0.0010528564453125,
-0... | 46,577 | 46577 | |
elliptic curves: interesting question
October 26th 2009, 01:55 AM #1
Newbie
Joined
Oct 2009
Posts
11
Let C be an elliptic curve over Q_p with Weierstrass form
y^2 = x^3 + ax^2 + bx + c:
The level of a point (x, y) is n if v_p(x) = -2n and v_p(y) = -3n,
and we let C^{(n)}(\mathbb{Q}_p) denote t... | 4 | [
-0.10107421875,
0.0390625,
-0.01385498046875,
0.0390625,
0.01611328125,
0.01708984375,
0.0986328125,
0.02978515625,
0.0634765625,
-0.142578125,
0.064453125,
-0.04638671875,
-0.0556640625,
0.01422119140625,
-0.0196533203125,
-0.0147705078125,
-0.04541015625,
-0.0654296875,
0.06494... | 46,578 | 46578 | |
Homework Help
Posted by Jason on Tuesday, September 12, 2006 at 5:34pm.
A car traveling 56 km/h is 24 m from a barrier when the driver slams on the brakes. The car hits the barrier 2s later
a) what is the car's constant deceleration before the impact?
b)How fast is the car traveling at impact?
I don't get the impac... | 4 | [
0.044677734375,
0.08154296875,
0.0703125,
0.00927734375,
0.0159912109375,
0.04541015625,
0.01202392578125,
0.0859375,
-0.02294921875,
0.044921875,
0.0927734375,
-0.07275390625,
-0.001556396484375,
0.01080322265625,
-0.08447265625,
0.015380859375,
0.056640625,
0.0037384033203125,
... | 46,579 | 46579 | |
Homework Help
Posted by Charlie on Sunday, February 24, 2008 at 2:54pm.
An engine is used to pull a train of two cars out of a mine. The floor slopes upward at an angle of 24o. Each car has a mass of 0.8x104 Kg and normally travels without friction on the tracks. The
engine can exert a maximum force of 1.4x105 N on ca... | 5 | [
-0.06689453125,
0.00457763671875,
0.0191650390625,
0.051025390625,
-0.01123046875,
0.030029296875,
-0.0693359375,
0.103515625,
-0.036376953125,
0.0002918243408203125,
0.04638671875,
0.01190185546875,
-0.006439208984375,
0.004486083984375,
-0.11572265625,
0.083984375,
0.08349609375,
... | 46,580 | 46580 | |
Transforming a cosine graph.
April 16th 2009, 01:12 PM #1
Member
Joined
Nov 2008
Posts
184
Transforming a cosine graph.
I am supposed to write an equation for a graph that shows the starting point at (0,-2) max at (3,0) next min at (just over 6, -2)
and it continues.
18c
So it says writ... | 4 | [
-0.06591796875,
-0.01123046875,
-0.0458984375,
-0.11328125,
-0.033447265625,
0.002410888671875,
-0.046875,
0.09228515625,
0.047119140625,
0.0419921875,
0.08203125,
-0.020751953125,
0.0150146484375,
0.07470703125,
0.056640625,
-0.06396484375,
-0.0390625,
-0.052734375,
-0.032714843... | 46,581 | 46581 | |
Question about ideals in quadratic extensions.
up vote 1 down vote favorite
Let $\mathbb{L}/\mathbb{K}$ be a galois extension of number fields of degree 2 and classes number of $\mathbb{K}$ is $h(\mathbb{K})=1$. $O_{\mathbb{L}}, O_{\mathbb{K}}$ the rings of integers
relatives to fields $\mathbb{L}$ and $\mathbb{K}$ r... | 5 | [
-0.02587890625,
-0.01025390625,
-0.00012111663818359375,
-0.02099609375,
0.0986328125,
-0.035888671875,
0.07470703125,
-0.0218505859375,
0.0155029296875,
-0.0966796875,
0.0986328125,
0.02734375,
0.053955078125,
-0.08740234375,
-0.0011138916015625,
0.11865234375,
-0.03173828125,
0.0... | 46,582 | 46582 | |
null space and rank
January 9th 2009, 07:49 PM #1
Member
Joined
Dec 2008
Posts
154
null space and rank
let A be mxn matrix and B be the transpose of A. let P=BA. prove that A and P have the same null space and the same rank.
please help.
we only need to prove that the null space of A and P are e... | 5 | [
-0.0103759765625,
-0.04443359375,
0.0024566650390625,
-0.0284423828125,
-0.01202392578125,
0.055419921875,
0.0634765625,
0.000024557113647460938,
0.00830078125,
0.0703125,
0.032470703125,
-0.0145263671875,
0.01190185546875,
0.035400390625,
-0.0294189453125,
0.0400390625,
-0.045166015... | 46,583 | 46583 | |
Exercise in Milne's CFT notes
up vote 3 down vote favorite
2
On page 156 of Milne's Class field theory notes available online here, he claims that the Hilbert class field of $K = \mathbb Q(\sqrt{-6})$ is the splitting field of $x^2+3$ but I don't believe so.
The prime 5 does not ramify in $K$ but does so in $L = \mat... | 5 | [
0.0238037109375,
-0.0189208984375,
0.044921875,
-0.0301513671875,
0.08203125,
-0.0108642578125,
0.0303955078125,
0.0137939453125,
-0.000045299530029296875,
-0.103515625,
0.02685546875,
0.052490234375,
-0.029541015625,
-0.0927734375,
-0.042236328125,
0.05859375,
-0.07958984375,
-0.0... | 46,584 | 46584 | |
Design Tutorial:
Forces and Stiffness Drawings & Images:
Maximum Applicable Forces (Compressive Load Limit, Tensile Load Limit) Fig. 18. Quasi-static characteristic mechanical stress/strain c... | 5 | [
-0.0478515625,
-0.02001953125,
-0.040283203125,
-0.00142669677734375,
-0.0751953125,
-0.04833984375,
0.0169677734375,
0.1611328125,
-0.0859375,
-0.0000782012939453125,
-0.01287841796875,
-0.0244140625,
-0.052490234375,
0.07373046875,
-0.01531982421875,
-0.051025390625,
0.0751953125,
... | 46,585 | 46585 | |
Order of Digits in Multiplication
Date: 03/27/2001 at 09:33:35
From: Hannah Jones
Subject: Multiplication place value order
Why do we learn to multiply starting with the least significant digits
in the ones place value instead of starting with the larger place
values? If I had 325 pieces of gum and I had 300 in one ... | 4 | [
-0.01318359375,
0.03076171875,
-0.0118408203125,
-0.0859375,
-0.09765625,
-0.022216796875,
-0.010986328125,
0.050048828125,
0.0634765625,
0.0172119140625,
0.023193359375,
0.10888671875,
0.0208740234375,
0.02685546875,
-0.03515625,
-0.01129150390625,
-0.024169921875,
0.055908203125,... | 46,586 | 46586 | |
irial
The Virial Theorem Made Easy
John Baez
August 10, 2000
Suppose you have a finite collection of point particles interacting gravitationally via good old Newtonian mechanics. And suppose that:
1. The time averages of the total kinetic energy and the total potential energy are well-defined.
2. The positions an... | 5 | [
-0.051025390625,
-0.0712890625,
0.07763671875,
0.04541015625,
0.03271484375,
0.030517578125,
-0.0218505859375,
0.09375,
0.1064453125,
0.0546875,
-0.017333984375,
0.052001953125,
-0.01397705078125,
0.018798828125,
0.050537109375,
-0.09619140625,
0.0380859375,
0.041259765625,
-0.03... | 46,587 | 46587 | |
What is the function $\sin(n \omega) / (n \sin \omega)$?
up vote 1 down vote favorite
1
During my work, I encounter the function like $\frac{\sin(n \omega)}{n \sin \omega}$. I'm puzzled and knew nothing about this function before.
Given integer $n>1$, my question is how to find a simple function to bound $|\frac{\sin... | 4 | [
-0.0703125,
0.0206298828125,
-0.07470703125,
0.03857421875,
-0.0272216796875,
0.00982666015625,
-0.06640625,
-0.002166748046875,
-0.0250244140625,
-0.09619140625,
-0.062255859375,
0.003997802734375,
0.006103515625,
-0.04638671875,
0.0439453125,
0.005340576171875,
0.045654296875,
-0... | 46,588 | 46588 | |
measure space, sequence
December 6th 2009, 02:02 PM
poincare4223
measure space, sequence
Let $(X, \mathcal{B}, \mu)$ be a measure space. Prove that if $(A_n)_{n \geq 1}$ is a sequence in $\mathcal{B}$ with $\sum_{n=1}^{\infty} \mu(A_n)< \infty$ then there exists a set $E$ with $\mu
(E)=0$ such that if $x ot ... | 5 | [
-0.0966796875,
-0.01373291015625,
0.07421875,
0.00061798095703125,
0.0126953125,
0.1142578125,
0.1376953125,
-0.019775390625,
0.00946044921875,
-0.076171875,
-0.028564453125,
-0.07470703125,
0.006011962890625,
0.005157470703125,
-0.06201171875,
0.0247802734375,
0.059814453125,
0.02... | 46,589 | 46589 | |
Work Problem
December 3rd 2009, 09:24 AM
anotherMelissa
Work Problem
I need help with this problem. I have no idea how to go about it! Why can't math just use numbers and not words?!
"Fern can fly her plane 240 miles against the wind in the same time it takes her to fly 360 miles with the wind. The speed of... | 4 | [
0.08642578125,
0.059814453125,
0.0218505859375,
0.0135498046875,
-0.00689697265625,
0.04052734375,
-0.01336669921875,
-0.0322265625,
0.0159912109375,
0.08447265625,
0.06298828125,
-0.0079345703125,
-0.03857421875,
0.044677734375,
-0.02392578125,
0.091796875,
-0.0179443359375,
0.046... | 46,590 | 46590 | |
Did I derive this right?
For somee reason I thought you can bring the denominator up and attach it, I guess you can't
Last edited by harish21; May 1st 2010 at 09:37 AM.
So far I used the quotient rule on x^2/4pi and got 8pi x / 4pi^2, is that correct?
I think I should stick to differentiating the left and than the r... | 5 | [
0.0419921875,
0.061279296875,
0.1181640625,
0.01312255859375,
-0.049072265625,
-0.02490234375,
-0.0478515625,
0.068359375,
-0.006134033203125,
-0.034423828125,
0.1025390625,
-0.0157470703125,
0.046142578125,
-0.0181884765625,
-0.044921875,
0.0986328125,
0.044189453125,
0.0625,
-0... | 46,591 | 46591 | |
Using the Ratio Test to see if a series converges or diverges?
November 22nd 2012, 03:30 PM #1
Newbie
Joined
Nov 2012
From
University
Posts
5
Using the Ratio Test to see if a series converges or diverges?
1. The problem statement, all variables and given/known data
Use the Ratio Test for series... | 5 | [
-0.08154296875,
-0.1259765625,
-0.0947265625,
0.0162353515625,
-0.034423828125,
-0.0308837890625,
-0.05810546875,
-0.08740234375,
0.0419921875,
-0.01068115234375,
0.02197265625,
-0.061279296875,
-0.05615234375,
0.044189453125,
0.0230712890625,
-0.0147705078125,
0.0042724609375,
-0.... | 46,592 | 46592 | |
evaluating limits
February 8th 2009, 02:59 PM #1
Member
Joined
Feb 2009
Posts
91
evaluating limits
Hi
I know I need to factor these but I just can't seem to figure out how
First
lim (x+3)/(√(9x^2-5x))
x-> infinity
Second
lim ((√(x^2+1))-x)
x ->infinity
Thanks in ad... | 5 | [
-0.044921875,
-0.015625,
0.0361328125,
0.0272216796875,
0.0947265625,
0.0615234375,
-0.01513671875,
-0.0322265625,
0.0218505859375,
-0.07275390625,
0.06787109375,
-0.040283203125,
0.06103515625,
0.07470703125,
-0.0242919921875,
-0.00830078125,
0.0281982421875,
-0.0003509521484375,
... | 46,593 | 46593 | |
Transformations
Matrices
Since this is a guide on graphics programming, this chapter will not cover a lot of the extensive theory behind matrices. Only the theory that applies to their use in computer graphics will be
considered here and they will be explained from a programmer's perspective. If you want to learn more... | 5 | [
-0.00154876708984375,
0.0111083984375,
-0.1298828125,
-0.078125,
-0.04052734375,
-0.07861328125,
-0.04931640625,
-0.034423828125,
0.0458984375,
0.00701904296875,
0.004425048828125,
0.06640625,
0.003997802734375,
0.024169921875,
-0.03173828125,
0.0400390625,
-0.076171875,
0.06884765... | 46,594 | 46594 | |
Science!! Please HELP
Posted by Rani on Tuesday, October 6, 2009 at 10:10pm.
If a population consists of 10,000 individuals at time t=0 years (P0), and the annual growth rate (excess of births over deaths) is 3% (GR), what will the population be after 1, 15 and 100 years (n)?
Calculate the "doubling time" for this gro... | 4 | [
-0.055419921875,
0.03466796875,
0.0255126953125,
-0.0233154296875,
0.01361083984375,
-0.09716796875,
-0.000827789306640625,
0.05419921875,
-0.0242919921875,
0.07568359375,
0.12255859375,
-0.022705078125,
-0.0244140625,
0.06689453125,
0.021728515625,
0.0172119140625,
-0.06005859375,
... | 46,595 | 46595 | |
Slope-Intecept Form X-Intercept distance
April 16th 2011, 11:57 AM #1
Newbie
Joined
Apr 2011
Posts
6
Slope-Intecept Form X-Intercept distance
A line with slope 2 intersects a line with slope 6 at the point (40,30). What is the
distance between the x-intercepts of these lines? How is the answer 10?
... | 4 | [
-0.043212890625,
-0.0196533203125,
-0.0013427734375,
-0.126953125,
0.0281982421875,
0.09228515625,
0.00823974609375,
0.09228515625,
-0.07861328125,
0.034912109375,
0.07958984375,
-0.09326171875,
0.0225830078125,
-0.0260009765625,
-0.0029296875,
0.1630859375,
-0.0703125,
-0.05493164... | 46,596 | 46596 | |
Composite functions?
July 11th 2011, 08:30 AM #1
Senior Member
Joined
Dec 2010
From
CPT
Posts
302
Composite functions?
My first question is how would I multiply this
(x^2+2(delta)x+delta(x)^2) (x+delta(x))
My second questions is
Evaluate the function at the given values of the independ... | 4 | [
-0.019287109375,
-0.03466796875,
0.03466796875,
0.0308837890625,
-0.033935546875,
0.041748046875,
0.00183868408203125,
-0.06298828125,
-0.030517578125,
-0.01263427734375,
0.07421875,
-0.042236328125,
-0.00848388671875,
-0.05908203125,
0.03466796875,
0.002044677734375,
0.0059509277343... | 46,597 | 46597 | |
Mathematical Induction Proof
October 8th 2010, 12:02 PM #1
Junior Member
Joined
Apr 2010
Posts
58
Mathematical Induction Proof
My question is to prove this by Induction, 1^3 + 2^3 + … + n^3 = n^2(n+1)^2/4
I got the base step, but I am struggling on the Inductive Step. Here is what I have:
Assume... | 4 | [
-0.048828125,
0.05224609375,
0.04296875,
0.072265625,
-0.04052734375,
-0.0869140625,
0.0400390625,
-0.00921630859375,
0.049072265625,
-0.062255859375,
-0.130859375,
-0.0054931640625,
0.0390625,
0.0240478515625,
-0.01104736328125,
-0.005828857421875,
0.0218505859375,
0.0791015625,
... | 46,598 | 46598 | |
What is the cardinality of the family of unlabelled bipartite graphs on n vertices?
up vote 0 down vote favorite
1
I have attempted to calculate the number of unlabelled bipartite graphs as follows:
Let $G = (V_1, V_2, E)$ be a bipartite graph on $n$ vertices with $|V_1| = m$ and $|V_2| = n-m$. Assume without los... | 5 | [
0.06640625,
-0.0152587890625,
-0.0025787353515625,
-0.0162353515625,
0.03857421875,
-0.04296875,
-0.0380859375,
0.034423828125,
-0.07080078125,
-0.00634765625,
-0.034423828125,
-0.08349609375,
0.02392578125,
-0.02490234375,
0.036865234375,
0.10498046875,
0.1533203125,
-0.0551757812... | 46,599 | 46599 |