content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Integration by parts using arctan
January 28th 2009, 02:03 PM #1
Newbie
Joined
Jan 2009
Posts
2
(solved) Integration by parts using arctan
Hi, I'm in need of some help as I can't seem to get this problem right.
Im trying to find the integral of 1/(9x^2+36x+81)dx
So, I started by completing the ... | 4 | [
0.0233154296875,
0.0234375,
0.0888671875,
-0.00750732421875,
0.046875,
-0.02294921875,
-0.0289306640625,
0.0208740234375,
-0.01153564453125,
-0.06591796875,
0.07958984375,
-0.09375,
-0.0281982421875,
0.0233154296875,
-0.057861328125,
-0.0576171875,
0.06689453125,
0.0244140625,
-0... | 46,200 | 46200 | |
General Bruhat decomposition (with parabolic not necessarily Borel)
up vote 6 down vote favorite
3
Here is the general Bruhat decomposition (which I have seen in various paper but never with a proof or a complete reference).
Let $G$ be a split reductive group, $T$ a split maximal torus and $B$ a Borel subgroup of $G$... | 4 | [
-0.087890625,
0.0172119140625,
-0.0233154296875,
0.01177978515625,
0.0263671875,
0.040771484375,
0.033447265625,
0.00494384765625,
-0.034912109375,
-0.01300048828125,
0.01904296875,
-0.01904296875,
-0.054931640625,
-0.009033203125,
-0.0185546875,
0.04931640625,
-0.06298828125,
0.00... | 46,201 | 46201 | |
Generic points and local entropies
up vote 17 down vote favorite
5
Let $X=\{1,\dots,p\}^\mathbb{N}$ be the space of sequences on a finite alphabet with a metric inducing the product topology, and let $\sigma\colon X\to X$ be the shift map. Let $\mu$ be a $\
sigma$-invariant Borel probability measure on $X$.
A point $... | 4 | [
0.0145263671875,
-0.044677734375,
0.06298828125,
-0.05078125,
0.0262451171875,
0.1015625,
0.189453125,
-0.009521484375,
0.06787109375,
-0.08203125,
0.035400390625,
-0.0179443359375,
0.05029296875,
-0.0299072265625,
-0.044921875,
-0.045166015625,
0.0517578125,
-0.007415771484375,
... | 46,202 | 46202 | |
3 cards of the same suit
March 24th 2010, 03:23 PM #1
Junior Member
Joined
Jul 2008
Posts
38
3 cards of the same suit
From a standard deck, what is the probability of drawing 3 cards of the same suit, without replacement?
When I do this, I want to go with 4 * (13/52 * 12/51 * 11/50) = 22/425
How... | 5 | [
0.06494140625,
-0.0064697265625,
-0.07177734375,
-0.061767578125,
-0.0308837890625,
-0.0341796875,
-0.0177001953125,
-0.0242919921875,
0.00096893310546875,
0.00848388671875,
-0.02685546875,
-0.0234375,
-0.04541015625,
0.01031494140625,
0.061767578125,
0.05615234375,
-0.045654296875,
... | 46,203 | 46203 | |
Find the differential
March 11th 2013, 02:30 PM #1
Find the differential
I really can not figure out how to proceed, I tried to solve it but apparently the solutions were wrong,
can someone give me a hint, please...
Let
Find the differential
thank you
Re: Find the differential
First, what... | 4 | [
-0.062255859375,
-0.006439208984375,
0.046630859375,
0.028564453125,
0.0093994140625,
0.05517578125,
0.046875,
0.06591796875,
-0.0184326171875,
0.0478515625,
0.0849609375,
-0.07177734375,
-0.06689453125,
0.09326171875,
-0.033447265625,
-0.0025177001953125,
-0.058837890625,
0.020751... | 46,204 | 46204 | |
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:
daze Group Title
Solve x2 + 4x + 8 = 0
... | 4 | [
-0.03515625,
0.056884765625,
0.06396484375,
0.004119873046875,
-0.0279541015625,
0.0625,
-0.05908203125,
0.0546875,
0.022705078125,
0.00021266937255859375,
0.049072265625,
-0.041748046875,
0.0078125,
0.0184326171875,
-0.0001392364501953125,
0.12060546875,
0.0035247802734375,
-0.046... | 46,205 | 46205 | |
Explain why, in ANY graph, there must be an even number of odd vertices...
How would I go about explaining this please? Thanks guys!
Hello, anthmoo! Here is a primitive approach . . . almost an inductive proof. Quote: Explain why, in ANY graph, there must be an even number of odd vertices. Let's say we have a graph w... | 4 | [
-0.0576171875,
0.0145263671875,
0.0654296875,
0.09814453125,
0.052001953125,
-0.0022735595703125,
0.0047607421875,
0.04150390625,
0.0128173828125,
0.0751953125,
0.04638671875,
-0.03955078125,
-0.00885009765625,
-0.03173828125,
-0.0004253387451171875,
0.00714111328125,
-0.013000488281... | 46,206 | 46206 | |
Stuck on this question. Successive Discounts and Depreciation
September 10th 2013, 03:01 AM #1
Newbie
Joined
Sep 2013
From
Anonymous
Posts
1
Stuck on this question. Successive Discounts and Depreciation
Im stuck on this question because i keep getting the wrong answer.. Please give me the answer with... | 4 | [
-0.0111083984375,
0.06884765625,
0.03759765625,
-0.031494140625,
-0.043212890625,
-0.08349609375,
-0.03271484375,
0.0108642578125,
0.0419921875,
0.0712890625,
0.028076171875,
-0.00921630859375,
0.068359375,
-0.01080322265625,
0.0247802734375,
0.04150390625,
-0.07958984375,
0.016601... | 46,207 | 46207 | |
Algebraic deduction help
April 14th 2011, 11:32 PM #1
Member
Joined
Mar 2011
Posts
92
Algebraic deduction help
Hi Guys,
I need a little help with the algebra in this inequality. I have made a bit of mess of it.
Given,
$<br /> \dfrac{100x^{n+1}}{1 - x^{n+1}} < \dfrac{k}{100}<br />$
Ded... | 4 | [
-0.045166015625,
0.1279296875,
0.032470703125,
-0.0294189453125,
-0.0118408203125,
-0.119140625,
-0.0106201171875,
0.0306396484375,
-0.0281982421875,
0.09130859375,
-0.01129150390625,
-0.0693359375,
0.0830078125,
0.039306640625,
-0.044189453125,
0.07763671875,
-0.02587890625,
-0.02... | 46,208 | 46208 | |
Economics Model Answers Two
From Conservapedia
Introductory: 1. In a free market, the price and quantity at which goods are sold are where __________ equals ___________.
supply equals demand
2. Suppose the price demand curve is P = $20 - Q, where P is price and Q is quantity. Also suppose the price supply curve is ... | 4 | [
-0.031494140625,
0.0177001953125,
-0.0078125,
-0.006317138671875,
-0.07958984375,
0.06396484375,
0.005096435546875,
0.059814453125,
0.0869140625,
0.043212890625,
0.046875,
0.0181884765625,
0.09716796875,
0.056396484375,
0.00482177734375,
-0.00092315673828125,
-0.0272216796875,
-0.0... | 46,209 | 46209 | |
URGENT: adjoints, matrices
If A is 3x3 and detA = 1/3 What is det(adjA)^-1?
Note that If $A$ is invertible, then: $A^{-1} = \frac{\text{adj}(A)}{\text{det}(A)}$ From here, you can derive an expression for $\text{det}(\text{adj}(A))$: $\text{adj}(A) = \text{det}(A) \cdot A^
{-1}$...............................multiplie... | 5 | [
-0.05859375,
-0.08447265625,
0.010009765625,
-0.04931640625,
-0.054931640625,
-0.099609375,
0.0439453125,
-0.09033203125,
-0.054443359375,
0.04931640625,
0.0634765625,
-0.04248046875,
-0.0074462890625,
0.007293701171875,
0.057861328125,
0.01470947265625,
-0.0123291015625,
0.125,
... | 46,210 | 46210 | |
Diophantine Proof Help using Pythagorean Triples
July 9th 2009, 07:34 AM
diddledabble
Diophantine Proof Help using Pythagorean Triples
Show that all solutions to x^2+y^2+z^2=w^2 with the restrictions
w=x+y,
x>0, y>0, z>0, w>0,
(x,y,z,w)=1 and
2|x (i.e. x is even)
are given by
x=2a^2,
... | 4 | [
-0.0576171875,
0.0274658203125,
-0.02978515625,
0.1298828125,
0.048095703125,
0.0142822265625,
0.047607421875,
-0.01080322265625,
-0.025390625,
-0.08154296875,
0.07421875,
0.021484375,
0.01806640625,
0.0546875,
-0.057861328125,
0.103515625,
-0.017578125,
-0.07470703125,
-0.037597... | 46,211 | 46211 | |
Calculus Integral Problems
March 15th 2009, 03:06 PM #1
Newbie
Joined
Jan 2009
Posts
6
Calculus Integral Problems
I need help with two calculus problems. I know that I need to use the second fundamental theorem of calculus for the 1st one, but I have no idea how to do the second one.
1) d/dx integra... | 4 | [
-0.03955078125,
-0.00347900390625,
0.103515625,
-0.04052734375,
0.0458984375,
0.0299072265625,
-0.05078125,
0.058349609375,
-0.0152587890625,
-0.018310546875,
0.0400390625,
-0.037841796875,
-0.01373291015625,
-0.0036163330078125,
-0.031982421875,
-0.0017852783203125,
0.00811767578125... | 46,212 | 46212 | |
$H^2(K, Q_p(1))$
up vote 1 down vote favorite
In Tate's local duality theorem we find the isomorphism $H^2(K, Q_p(1)) \cong Q_p$ where $K$ is a finite extension of $Q_p$. I haven't found any reference where this isomorphism is given explicitly
(Only Kato's article in "Grothendieck Festchrift). Can anyone give me some ... | 4 | [
0.01141357421875,
0.064453125,
0.06005859375,
-0.0225830078125,
0.04296875,
0.006011962890625,
0.0029296875,
0.006683349609375,
0.01416015625,
-0.0771484375,
0.0810546875,
-0.0206298828125,
-0.0732421875,
-0.030029296875,
-0.06298828125,
0.02880859375,
-0.02978515625,
0.05883789062... | 46,213 | 46213 | |
Mapping from a finite index subgroup onto the whole group
up vote 19 down vote favorite
7
Dear All,
here is the question:
Does there exist a finitely generated group $G$ with a proper subgroup $H$ of finite index, and an (onto) homomorphism $\phi:G\to G$ such that $\phi(H)=G$?
My guess is "no", for the following re... | 5 | [
-0.0458984375,
-0.00016117095947265625,
0.07373046875,
0.05078125,
0.01324462890625,
0.0159912109375,
0.046630859375,
-0.0196533203125,
-0.01611328125,
-0.036865234375,
0.01708984375,
0.0155029296875,
-0.0004634857177734375,
0.03076171875,
-0.041015625,
-0.04931640625,
-0.03540039062... | 46,214 | 46214 | |
Group ismorphism (Z2xZ4)
Hi, Can you show that (Z2xZ4,+)/N isomorphic to (Z4,+)? (N=<(1,2)>)
My solution is: N={(0,0),(1,2)} and f((a,b))->x (mod4) (a(mod2),b(mod4)) But f(0,0)=f(2,4)=f(1,2)+f(1,2) so f(1,2)=2(mod4). Hence N is not kerf so i cannot use first ismorphism theorem. Am I wrong?
it suffices to find a homom... | 5 | [
-0.025390625,
0.0673828125,
-0.041748046875,
-0.05078125,
-0.0260009765625,
-0.00921630859375,
0.00787353515625,
-0.0458984375,
-0.039794921875,
-0.1337890625,
0.035400390625,
-0.07275390625,
-0.0224609375,
-0.013916015625,
-0.06396484375,
0.026123046875,
-0.0107421875,
0.005645751... | 46,215 | 46215 | |
Function with Darboux's Property
May 23rd 2009, 09:33 AM #1
Member
Joined
Apr 2008
Posts
123
Function with Darboux's Property
Let $f: [0,1] \rightarrow \mathbb{R}$ be a function with Darboux's property. $\forall \ y \in \mathbb{R}$, we have $f^-1({{y}})$ is closed. Prove that $f$ is continuous.
So I... | 5 | [
0.0024566650390625,
-0.091796875,
-0.01361083984375,
0.0155029296875,
-0.0047607421875,
0.0390625,
0.052490234375,
0.07421875,
-0.036376953125,
-0.000713348388671875,
-0.04052734375,
0.052001953125,
-0.0238037109375,
0.05224609375,
-0.012939453125,
-0.015869140625,
0.0003337860107421... | 46,216 | 46216 | |
Covariance of jointly distributed variables
January 18th 2010, 07:46 PM #1
Newbie
Joined
Jan 2010
Posts
6
Covariance of jointly distributed variables
Hello. Could someone please help with this problem please?
Show that Cov (X,Y) = Cov (X, E(Y|X))
Using Property: E(U) = E [ E(U|V) ]]
I know... | 4 | [
0.052001953125,
-0.007476806640625,
0.04248046875,
-0.0654296875,
0.043701171875,
0.046142578125,
0.044677734375,
-0.06787109375,
-0.0791015625,
-0.0150146484375,
0.0235595703125,
0.09375,
0.00616455078125,
0.09228515625,
0.034912109375,
0.0157470703125,
0.0208740234375,
-0.0245361... | 46,217 | 46217 | |
78. to_poly_solve
The function to_poly_solve tries to solve the equations e for the variables l. The equation(s) e can either be a single expression or a set or list of expressions; similarly, l can either be a
single symbol or a list of set of symbols. When a member of e isn't explicitly an equation, for exam... | 5 | [
-0.0498046875,
-0.025390625,
0.037841796875,
0.057373046875,
-0.0179443359375,
-0.007232666015625,
0.01263427734375,
-0.002838134765625,
-0.07080078125,
0.039794921875,
0.0216064453125,
-0.03369140625,
0.0322265625,
-0.005828857421875,
0.005126953125,
0.07958984375,
-0.031494140625,
... | 46,218 | 46218 | |
What is the radius of the larger circle?
April 29th 2007, 04:13 PM #1
Junior Member
Joined
Apr 2007
Posts
43
The distance between the centers of two nonintersecting circles is 20cm. The length of a common external tangent segment is 16cm. If the radius of the smaller circle is 2cm, what is the radius of
... | 4 | [
-0.005523681640625,
0.054443359375,
-0.056884765625,
0.00909423828125,
0.056396484375,
-0.09765625,
-0.020263671875,
0.13671875,
0.0274658203125,
-0.06298828125,
0.0458984375,
-0.0478515625,
0.020263671875,
0.0703125,
0.01806640625,
0.0634765625,
0.01251220703125,
0.006866455078125... | 46,219 | 46219 | |
Moderated Regression
Suppose that we would like to learn whether the above mediational model holds across levels of a moderator variable that has 5 mutually exclusive categories. That is, we would like to learn whether
the mediational model interacts with another variable. To test this, we can use a
macro in SPSS
tha... | 5 | [
0.036865234375,
-0.032470703125,
0.0189208984375,
0.08642578125,
0.0732421875,
0.0390625,
0.03125,
-0.02978515625,
0.00830078125,
-0.006134033203125,
0.0179443359375,
-0.0216064453125,
0.06884765625,
0.00738525390625,
0.09814453125,
0.041748046875,
0.076171875,
0.01373291015625,
... | 46,220 | 46220 | |
Radii of convergence
November 14th 2008, 07:48 AM #1
Newbie
Joined
Nov 2008
Posts
14
Radii of convergence
Can someone help me to sove these.
Find radii of convergence of following series:
1. n(logn)x^n ( n from 1 to infinity)
2.(logn)^(logn )*x^n (n from 2 to infinity)
3. (x^n)/(n^n(1/2)... | 5 | [
0.039306640625,
-0.1376953125,
-0.058837890625,
0.0279541015625,
0.0274658203125,
-0.07861328125,
-0.034423828125,
-0.01300048828125,
0.021728515625,
-0.00494384765625,
-0.041015625,
-0.021728515625,
0.022705078125,
0.0087890625,
-0.01556396484375,
0.0024261474609375,
-0.08935546875,... | 46,221 | 46221 | |
Does Cantor-Bernstein hold for classes?
up vote 8 down vote favorite
1
In Bonn, we've been have a discussion on the topic in the title:
Suppose that A and B is are classes and that there are injections from A to B and fom B to A. Does it follow that there is a bijection between A and B?
Example: Let A the class ... | 5 | [
0.005096435546875,
-0.0419921875,
-0.0208740234375,
-0.060302734375,
-0.08203125,
0.042236328125,
0.08203125,
-0.01470947265625,
-0.01129150390625,
-0.0224609375,
-0.1142578125,
-0.01806640625,
0.046875,
-0.01239013671875,
0.060302734375,
0.09130859375,
-0.0062255859375,
-0.0454101... | 46,222 | 46222 | |
Isomorphism theorem for subfactors?
up vote 0 down vote favorite
1
It's about the existence of a generalization of the first isomorphism theorem for groups, for subfactors :
Let $(N \subset M)$ and $(N' \subset M')$ be irreducible inclusions of hyperfinite $II_1$ factors.
Let $\phi: M \to M'$ be a $W^*$-morphism with... | 5 | [
-0.0130615234375,
-0.07666015625,
0.035400390625,
0.0576171875,
0.0030670166015625,
0.0205078125,
0.0198974609375,
-0.00139617919921875,
-0.10009765625,
-0.06298828125,
0.041259765625,
0.01123046875,
-0.0145263671875,
0.0400390625,
0.005523681640625,
0.1318359375,
0.07958984375,
0.... | 46,223 | 46223 | |
Is every smooth function Lebesgue-Lebesgue measurable?
up vote 18 down vote favorite
5
This is motivated by pure curiosity (triggered by this question). A map $f:\mathbb R^n\to\mathbb R^m$ is said to be Lebesgue-Lebesgue measurable if the pre-image of any Lebesgue-measurable subset of
$\mathbb R^m$ is Lebesgue-measura... | 4 | [
0.0087890625,
-0.013671875,
-0.0081787109375,
-0.0264892578125,
0.05859375,
0.09912109375,
0.04638671875,
0.041259765625,
-0.06640625,
0.00927734375,
-0.024658203125,
0.017578125,
0.0030517578125,
0.0125732421875,
-0.0267333984375,
-0.04541015625,
0.08544921875,
0.009765625,
-0.0... | 46,224 | 46224 | |
Find the area of the shaded region...
February 25th 2010, 07:49 AM
snigdha
Find the area of the shaded region...
In the given fig., AB and AC are two equal chords of length 7cm and ∟BAC=60 degrees. Find the area of the shaded region A,C,B in clockwise direction.
February 25th 2010, 08:50 AM
qmech
The pro... | 4 | [
-0.0198974609375,
0.07177734375,
-0.0732421875,
0.02783203125,
-0.004669189453125,
-0.006500244140625,
-0.01513671875,
0.058837890625,
-0.01458740234375,
0.06982421875,
0.02734375,
-0.09521484375,
0.03955078125,
0.056884765625,
0.0859375,
-0.00107574462890625,
-0.10400390625,
-0.03... | 46,225 | 46225 | |
purely point spectrum as compactness of orbits
up vote 5 down vote favorite
1
Let $U$ be a unitary operator in a complex separable Hilbert space $H$. Assume that for any vector $x$ its orbit $\{x,Ux,U^2x,\dots\}$ is precompact in $X$ (i.e. closure is compact). Then there
exists an orthonormal basis in $X$ consisting o... | 5 | [
0.00286865234375,
0.025146484375,
-0.03369140625,
-0.00933837890625,
-0.06494140625,
0.07861328125,
0.1455078125,
-0.1162109375,
-0.04541015625,
-0.095703125,
0.01806640625,
0.00775146484375,
-0.01153564453125,
-0.01531982421875,
0.04052734375,
-0.07275390625,
0.03564453125,
-0.068... | 46,226 | 46226 | |
Determining what values of r have solutions of the form y= e^(rt)
February 3rd 2013, 12:52 PM #1
Member
Joined
Sep 2010
Posts
96
Determining what values of r have solutions of the form y= e^(rt)
It's been a while since I've touched calculus and I have these two problems I'm having trouble starting on. Ca... | 5 | [
-0.08740234375,
0.0181884765625,
-0.00543212890625,
0.052001953125,
0.06787109375,
0.004425048828125,
0.01116943359375,
0.048095703125,
-0.009033203125,
0.041259765625,
0.09033203125,
-0.08544921875,
0.01171875,
0.0595703125,
0.08203125,
-0.06298828125,
-0.11328125,
-0.031005859375... | 46,227 | 46227 | |
Integration over the orthogonal group
up vote 10 down vote favorite
1
Let $O(N)$ be the orthogonal group, and $a,b,c\in\mathbb N$. The question is: $$\int_{O(N)}U_{11}^aU_{22}^bU_{33}^cdU=?$$
This is quite a tricky question:
(1) The first thought would go to probability, because with $N\to\infty$ the variables $U_{1... | 4 | [
-0.0712890625,
-0.0361328125,
-0.083984375,
-0.01239013671875,
-0.033447265625,
0.031982421875,
0.03076171875,
-0.1318359375,
0.004119873046875,
-0.04296875,
0.10498046875,
0.046630859375,
-0.0234375,
-0.0245361328125,
-0.017822265625,
-0.017333984375,
0.003082275390625,
-0.0032043... | 46,228 | 46228 | |
Hart's One-Line Factoring Algorithm
Hart’s One-Line Factoring Algorithm
January 28, 2014
We use a 2,3,5-wheel for the trial division before calling Hart’s algorithm:
(define (wheel-factors n limit)
(let ((wheel (vector 1 2 2 4 2 4 2 4 6 2 6)))
(let loop ((n n) (f 2) (next 0) (fs (list)))
(cond ((< limit f) (values n... | 4 | [
-0.09423828125,
-0.00095367431640625,
-0.08935546875,
-0.048583984375,
0.11328125,
-0.01483154296875,
0.054443359375,
-0.00106048583984375,
-0.028564453125,
-0.048828125,
-0.00445556640625,
0.043701171875,
-0.00909423828125,
0.0152587890625,
-0.0654296875,
0.044189453125,
-0.06030273... | 46,229 | 46229 | |
The real number Delta
July 17th 2010, 08:16 PM #1
Banned
Joined
Sep 2009
Posts
502
The real number Delta
If $f:X \rightarrow \mathbb{R}$ is defined by $f(x)=\frac{x}{x^2-1}$, and we are interested in the behavior of $f$ near $0$, then $1,-1 ot\in X$. A natural choice of $X$ is $\mathbb{R}-\{-1,1\}$,
... | 4 | [
0.0174560546875,
0.01092529296875,
0.0223388671875,
0.0303955078125,
-0.0184326171875,
-0.00823974609375,
-0.01953125,
0.0244140625,
0.03564453125,
-0.042724609375,
0.05029296875,
-0.00189208984375,
0.021240234375,
0.056396484375,
-0.00007104873657226562,
-0.10546875,
0.10888671875,
... | 46,230 | 46230 | |
Knot complement diffeomorphism groups and embedding spaces
up vote 6 down vote favorite
2
I'm interested in the following collection of questions: Let $S^n_k = \sqcup_k S^n$ be a disjoint union of $k$ distinct $n$-dimensional spheres. Write $Emb(S_k^n, S^{n+2})$ for the space of
embeddings of these spheres into $S^{n+... | 4 | [
-0.057861328125,
0.046142578125,
0.0390625,
-0.0546875,
0.022705078125,
0.08251953125,
0.043212890625,
-0.040283203125,
0.0269775390625,
-0.0191650390625,
0.08984375,
-0.028076171875,
0.005279541015625,
-0.08154296875,
-0.06494140625,
0.04638671875,
0.00054168701171875,
0.038574218... | 46,231 | 46231 | |
Matrix Multiplication and Solving for X?
February 11th 2013, 02:00 AM
UBCBOY
Matrix Multiplication and Solving for X?
Find X if
[5 -8]X + [0 9] = [-3 6]
[8 -1].... [0 -8] ....[-1 -9]
X =?
My steps:
[5 -8]X + [0 9] = [-3 6]
[8 -1] ......[0 -8] ..[-1 -9]
Ax + B = C
Subtract ma... | 5 | [
-0.1259765625,
0.022216796875,
-0.0203857421875,
-0.0380859375,
0.0203857421875,
-0.0301513671875,
0.014892578125,
-0.0028533935546875,
-0.03369140625,
-0.036865234375,
0.04833984375,
-0.0751953125,
-0.029296875,
0.034912109375,
-0.048828125,
0.036865234375,
-0.07666015625,
-0.0245... | 46,232 | 46232 | |
Probability, that a graph G does not contain a cycle
up vote 4 down vote favorite
3
Hello, given graph $G=(V,E)$ with $n=|V|$ and $k=|E|$, what is the probability that it does not contain any cycle $C_l$ for $l\geq3?$
The requested clarification: My intention was to form the question in such a way, that there is no i... | 5 | [
-0.006256103515625,
0.06494140625,
-0.033203125,
-0.0625,
0.017822265625,
0.00726318359375,
-0.006134033203125,
-0.072265625,
-0.0069580078125,
0.06884765625,
0.00185394287109375,
-0.0269775390625,
0.060791015625,
-0.046875,
0.0693359375,
-0.00628662109375,
0.01953125,
-0.065917968... | 46,233 | 46233 | |
Stats: Correct or not?
November 9th 2007, 12:04 PM
Nimmy
Stats: Correct or not?
Can someone check my work?
Q
1. A recent study found that, at most, 32% of people who have been in a plane crash have died. In a sample of 100 people who were in a plane crash, 38 died. Is the study statement believable?
... | 5 | [
0.06689453125,
0.099609375,
-0.03173828125,
0.058837890625,
0.037109375,
-0.015380859375,
0.0213623046875,
0.0947265625,
-0.039306640625,
0.10107421875,
0.080078125,
-0.00179290771484375,
0.03466796875,
0.043212890625,
-0.03515625,
-0.024658203125,
0.00543212890625,
-0.08935546875,... | 46,234 | 46234 | |
evaluate the definite integral
can i take the the 2 so it looks like this = √2(1/√x)dx??
The answer to the original question is yes, $\int_1^8\sqrt\frac{2}{x}\ dx = \sqrt{2}\int_1^8\sqrt\frac{1}{x}\ dx$. Plato has a point - you need some proficiency with derivatives before you try to do
integrals. - Hollywood
Hello, ... | 5 | [
0.0198974609375,
-0.0849609375,
0.08349609375,
0.0260009765625,
-0.0419921875,
-0.08642578125,
-0.06591796875,
0.07177734375,
0.01043701171875,
0.034912109375,
-0.00244140625,
0.02099609375,
-0.0145263671875,
0.0673828125,
0.01055908203125,
0.0634765625,
0.02734375,
0.05078125,
-... | 46,235 | 46235 | |
The Not-so-simple Pendulum 2
Copyright © University of Cambridge. All rights reserved.
'The Not-so-simple Pendulum 2' printed from http://nrich.maths.org/
A simple pendulum released from rest from an angle $y$ of less that $20^\circ$ is well-modelled by the linear differential equation
$$m\frac{d^2 y}{dt^2} +k^2y=... | 4 | [
-0.0230712890625,
-0.014892578125,
0.054443359375,
0.06298828125,
-0.04345703125,
0.0098876953125,
-0.062255859375,
-0.004791259765625,
0.036376953125,
0.08740234375,
0.115234375,
0.005645751953125,
0.06787109375,
0.052001953125,
-0.061767578125,
0.03759765625,
0.01806640625,
0.062... | 46,236 | 46236 | |
Asymmetric Wavelet Signal of Gravitational Waves
Doctor of Engineering Science, Academician of RANS, member of EANS, Volga Region State Technological University, Russia
Abstract
On the example of a complex of 10 pulsars shows a method to identify the statistical models and the analysis of the model amplitude of grav... | 4 | [
-0.0654296875,
-0.10986328125,
0.00010442733764648438,
0.018310546875,
-0.038818359375,
0.0213623046875,
-0.01031494140625,
-0.022705078125,
0.053466796875,
-0.06787109375,
0.033447265625,
-0.01708984375,
-0.055908203125,
-0.041015625,
-0.04638671875,
-0.08447265625,
-0.0098266601562... | 46,237 | 46237 | |
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: Re: [HM] Yin-Yang in the Commentary of Liu Hui
Rep... | 4 | [
-0.11328125,
0.011474609375,
0.05322265625,
0.02099609375,
-0.0045166015625,
0.049560546875,
0.041259765625,
-0.0238037109375,
0.05712890625,
-0.02783203125,
0.00872802734375,
0.0419921875,
0.027099609375,
0.00909423828125,
-0.01123046875,
0.099609375,
0.005340576171875,
0.00323486... | 46,238 | 46238 | |
second order partial differential equation
November 19th 2008, 12:17 PM
tur
second order partial differential equation
Can someone help me to solve this equation or even classify it..
(z^a)*p[x,y,z]=(x^2)*p[x,y,z]-(2*x*y)*p'[x,y,z]+(y^2)*p''[x,y,z]
where p'[x,y,z],p''[x,y,z] means partial derivative wi... | 5 | [
-0.040283203125,
0.0225830078125,
0.05126953125,
0.034912109375,
-0.000385284423828125,
0.035400390625,
-0.040771484375,
-0.031005859375,
-0.0296630859375,
0.01708984375,
0.041748046875,
0.04150390625,
0.0206298828125,
0.0196533203125,
0.034423828125,
0.040283203125,
-0.041015625,
... | 46,239 | 46239 | |
Re: How to do fast integer division
Karim Belabas on Fri, 24 Aug 2012 15:57:44 +0200
[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]
Re: How to do fast integer division
* Dirk Laurie [2012-08-24 13:31]:
> I have an application that does lots of integer divisions with
> large operands... | 4 | [
-0.03271484375,
0.0308837890625,
-0.0201416015625,
-0.103515625,
-0.00750732421875,
-0.049560546875,
0.00689697265625,
-0.06787109375,
-0.006927490234375,
-0.05224609375,
0.00927734375,
0.006439208984375,
-0.01513671875,
-0.035888671875,
-0.05517578125,
-0.042236328125,
-0.0157470703... | 46,240 | 46240 | |
Deferred Annuity problem
May 2nd 2012, 02:12 AM
suckseed
Deferred Annuity problem
I need help answering this problem:
A sequence of 8 annual payments of $750 each, with the first payment due at the beginning of the 6th year; money is worth 6%. (The beginning of year 6 is the end of year 5.) Find the present... | 5 | [
-0.053466796875,
0.09716796875,
0.0206298828125,
-0.056396484375,
-0.01190185546875,
-0.0125732421875,
0.03369140625,
-0.00823974609375,
-0.00970458984375,
0.08837890625,
-0.0072021484375,
-0.0301513671875,
0.0032196044921875,
-0.0126953125,
-0.050537109375,
0.0064697265625,
-0.09960... | 46,241 | 46241 | |
Measurable Subset Question
September 27th 2011, 09:55 AM
Markeur
Measurable Subset Question
1)Let $E$ be a measurable subset of $\mathbb{R}$ with $m(E)=1$ and let $(E_n)$ be a sequence of measurable subsets of $E$. If, for any $\epsilon > 0$, there exists a set $E_i$ in the sequence $
(E_n)$ with $m(E_i) > 1... | 5 | [
0.0208740234375,
0.06689453125,
0.1083984375,
-0.0018463134765625,
0.053955078125,
0.0311279296875,
0.130859375,
0.0712890625,
-0.0146484375,
-0.03173828125,
-0.050048828125,
-0.1279296875,
0.07373046875,
-0.00970458984375,
0.003204345703125,
-0.034912109375,
0.07373046875,
0.00302... | 46,242 | 46242 | |
How Many Balls Would Be Used?
Date: 8 May 1995 05:00:01 -0400
From: Dana Murray
Subject: Question 2
Consider a knock-out tournament, say tennis or ping-pong, with n
participants. The winner of any game goes on to the next round and the
loser retires. If in any round there is a player without an opponent that
play... | 5 | [
0.08447265625,
0.10546875,
0.0218505859375,
-0.0240478515625,
-0.00003743171691894531,
0.034423828125,
0.0189208984375,
0.0172119140625,
0.04248046875,
0.1279296875,
-0.0810546875,
-0.0150146484375,
0.019287109375,
0.0262451171875,
0.028076171875,
0.027099609375,
-0.0341796875,
-0.... | 46,243 | 46243 | |
Differential eq problem and area problem
May 24th 2009, 04:14 AM #1
Newbie
Joined
May 2009
Posts
2
Differential eq problem and area problem
A:
State a differential equation that has the solution:
y=3sin(4x+v)
B:
decide the number k that the area beneath the curve y=ke^-x on the first squ... | 5 | [
0.0166015625,
0.06640625,
-0.004547119140625,
-0.03662109375,
-0.04541015625,
0.00640869140625,
0.01129150390625,
0.033203125,
-0.05029296875,
0.036865234375,
0.1181640625,
-0.053466796875,
-0.00872802734375,
0.020263671875,
0.040283203125,
0.03759765625,
0.032470703125,
0.01892089... | 46,244 | 46244 | |
Solving a Trig Equation
Associated Topics || Dr. Math Home || Search Dr. Math
Solving a Trig Equation
Date: 3... | 5 | [
-0.0284423828125,
0.07666015625,
-0.08935546875,
0.0038909912109375,
-0.036865234375,
0.041748046875,
-0.044677734375,
-0.01019287109375,
-0.0205078125,
0.0191650390625,
0.049560546875,
-0.044189453125,
-0.06494140625,
0.08544921875,
0.0732421875,
-0.007476806640625,
-0.10009765625,
... | 46,245 | 46245 | |
Momentum-based GTAA Portfolio Weighting Using Factor Momentum
Using Factor Momentum to Optimize GTAA Portfolios
Taking another look at portfolio optimization methods as they apply to relative strength- & momentum-based GTAA portfolios, this time I present a novel method that uses factor momentum in an attempt
to tilt ... | 4 | [
-0.052734375,
-0.031982421875,
-0.05517578125,
-0.0255126953125,
-0.00946044921875,
0.0031585693359375,
0.0260009765625,
0.0198974609375,
-0.0751953125,
0.013916015625,
-0.0162353515625,
0.0296630859375,
0.003448486328125,
0.029296875,
0.017333984375,
-0.004302978515625,
0.1005859375... | 46,246 | 46246 | |
Posts about generating functions on Annoying Precision
Small factors in random polynomials over a finite field
Posted in algebraic combinatorics, number theory, probability, tagged asymptotics, generating functions, MaBloWriMo on November 10, 2012 | 4 Comments »
Previously I mentioned very briefly Granville’s The Ana... | 4 | [
-0.0162353515625,
0.043701171875,
-0.045654296875,
0.0830078125,
0.05810546875,
-0.00286865234375,
0.0791015625,
0.01708984375,
0.09326171875,
-0.00860595703125,
-0.028076171875,
0.061767578125,
0.10205078125,
-0.01092529296875,
-0.016357421875,
-0.004058837890625,
-0.036376953125,
... | 46,247 | 46247 | |
The conjecture of Montgomery and Soundararajan on primes in short intervals: Empirical inconsistencies?
up vote 17 down vote favorite
1
Assume that $y/ \log x \rightarrow \infty$ and that $y/x \rightarrow 0$. Then, from a conjecture by Montgomery and Soundararajan, we expect the number of primes in the interval $[x,x+... | 4 | [
-0.04638671875,
-0.06591796875,
-0.00970458984375,
0.058349609375,
0.05419921875,
-0.050048828125,
-0.0296630859375,
0.04345703125,
-0.0302734375,
-0.023681640625,
-0.0213623046875,
0.033203125,
-0.01312255859375,
-0.002532958984375,
0.0703125,
-0.05078125,
0.0179443359375,
-0.0512... | 46,248 | 46248 | |
Spectrum of the operator PAP, with A self-adjoint and P strictly positive
up vote 0 down vote favorite
Let $A$ be an unbounded self-adjoint operator with spectrum $\sigma(A)=\mathbb R$ in a Hilbert space $\mathcal H$. Let $P$ be a bounded operator in $\mathcal H$ satisfying $P\ge1$ and $$ {\rm Domain}
(AP) \equiv\big[... | 4 | [
0.0159912109375,
-0.0546875,
0.0546875,
-0.0458984375,
-0.083984375,
0.07763671875,
0.07763671875,
-0.0147705078125,
-0.001068115234375,
-0.00958251953125,
0.01123046875,
0.0166015625,
-0.0035247802734375,
0.05517578125,
0.0673828125,
-0.018310546875,
0.052734375,
0.00921630859375,... | 46,249 | 46249 | |
physics, acceleration, physics problem
September 28th 2007, 01:40 PM #1
Senior Member
Joined
Jan 2007
Posts
477
physics, acceleration, physics problem
For a standard production car, the highest road-tested acceleration ever reported occured in 1993, when a Ford RS200 Evolution went from zero to 26.8 m/s ... | 4 | [
-0.0264892578125,
0.01055908203125,
0.0028533935546875,
0.0712890625,
-0.0106201171875,
0.050048828125,
-0.138671875,
0.0888671875,
-0.062255859375,
0.00457763671875,
0.07958984375,
0.0047607421875,
0.130859375,
0.0027618408203125,
-0.0303955078125,
0.0103759765625,
-0.050537109375,
... | 46,250 | 46250 | |
n dimensional vectors -linear dependence
December 14th 2008, 08:55 PM #1
Junior Member
Joined
Apr 2007
Posts
32
n dimensional vectors -linear dependence
i read a proof that there do no exist n+1 linearly independent vectors in a n-dimensional space but i dont quite get some bits
(1)Let $\bf{v}_{1}, {... | 4 | [
-0.0703125,
-0.06494140625,
-0.026611328125,
0.003753662109375,
0.10693359375,
0.06201171875,
0.01031494140625,
-0.1220703125,
0.00860595703125,
0.019775390625,
0.034423828125,
-0.00933837890625,
-0.0595703125,
0.0203857421875,
-0.059326171875,
-0.01019287109375,
-0.01409912109375,
... | 46,251 | 46251 | |
why does the limit of ln(x)/x approach 0???
August 28th 2010, 07:14 AM #1
Newbie
Joined
Aug 2010
Posts
8
why does the limit of ln(x)/x approach 0???
the limit of ln(x) is infinite, so why does dividing it by x make it zero? If anything it should make it 1 because infinite/infinite = 1
$\lim_{x \to \... | 5 | [
-0.06494140625,
-0.0654296875,
0.035888671875,
-0.00135040283203125,
0.0546875,
-0.103515625,
-0.04150390625,
0.019775390625,
0.095703125,
0.06201171875,
0.095703125,
-0.00138092041015625,
0.0026702880859375,
0.0224609375,
-0.017822265625,
0.025390625,
-0.04248046875,
-0.0849609375... | 46,252 | 46252 | |
This Article
Share
Bibliographic References
Add to:
Search
Convergence Properties of Optimization Algorithms for the SAT Problem
February 1996 (vol. 45 no. 2)
pp. 209-218
ASCII Text ... | 4 | [
-0.10107421875,
0.0252685546875,
-0.041748046875,
0.0179443359375,
-0.040771484375,
0.00341796875,
-0.0439453125,
0.0033416748046875,
-0.0400390625,
0.0240478515625,
-0.0390625,
0.11669921875,
0.1064453125,
-0.048095703125,
-0.03466796875,
-0.0108642578125,
0.0225830078125,
-0.0267... | 46,253 | 46253 | |
Help with number problem
March 6th 2007, 08:04 PM #16
Junior Member
Joined
Mar 2007
Posts
33
here is a better proof, i think.
Background knowledge:
you should know that an integer is even if you can express it as 2n for some integer n, it is odd if you can express it as 2n + 1 for some integer n... | 4 | [
-0.026611328125,
0.0439453125,
0.021484375,
0.0250244140625,
0.09814453125,
0.03125,
0.138671875,
0.05859375,
-0.02490234375,
-0.01287841796875,
-0.05517578125,
-0.03076171875,
0.0274658203125,
0.031982421875,
0.0084228515625,
0.0002727508544921875,
-0.083984375,
0.0299072265625,
... | 46,254 | 46254 | |
Constraint Satisfaction
Constraint Satisfaction problems
Introduction and Definitions
Search can be made easier in cases where the solution insted of corresponding to an optimal path, is only required to satisfy local consistency conditions. We call such problems Constraint
Satisfaction (CS) Problems. For example, i... | 5 | [
-0.049560546875,
-0.00970458984375,
-0.0303955078125,
-0.08056640625,
-0.0673828125,
0.0133056640625,
0.06494140625,
-0.04638671875,
-0.064453125,
-0.00970458984375,
-0.00848388671875,
-0.035400390625,
0.1396484375,
0.0615234375,
0.006072998046875,
0.01104736328125,
0.052001953125,
... | 46,255 | 46255 | |
[Numpy-discussion] Here's what I've done to numpy.fft
Travis Oliphant oliphant@enthought....
Mon Jul 12 20:33:11 CDT 2010
On Jul 12, 2010, at 5:47 PM, David Goldsmith wrote:
> In light of my various questions and the responses thereto, here's what I've done (but not yet committed) to numpy.fft.
>
> There are many w... | 4 | [
-0.1044921875,
-0.04345703125,
-0.037841796875,
0.0257568359375,
-0.000362396240234375,
-0.030029296875,
0.029296875,
0.0419921875,
0.01251220703125,
-0.01080322265625,
-0.045166015625,
0.007598876953125,
-0.00946044921875,
0.039794921875,
0.027099609375,
-0.0159912109375,
-0.0371093... | 46,256 | 46256 | |
Common Logarithm
Top
Sub Logarithm is an exponent measure. An equation in exponential form can be equivalently written in logarithmic form. For example, we have the exponential statement, 2^3 = 8. This can be written
Topics in logarithmic form as log[2] 8 = 3. Here, 2 is the base in both the equations and only the ... | 4 | [
-0.0181884765625,
-0.060791015625,
-0.059814453125,
0.033447265625,
-0.032470703125,
-0.1328125,
0.0400390625,
0.013671875,
0.08984375,
0.0595703125,
0.03515625,
-0.0025787353515625,
0.048095703125,
0.055908203125,
0.0888671875,
0.027099609375,
-0.1669921875,
0.0419921875,
-0.076... | 46,257 | 46257 | |
Homework Help
Posted by Liz on Thursday, May 17, 2012 at 9:31pm.
Find the third Derivative of
f(x)=x(3x-7)^3
The answer is 3x-1134 but I attempted the problem multiple times and I keep ending up with 648x-1134. What am I doing wrong?
• Calculus - Reiny, Thursday, May 17, 2012 at 11:56pm
rather than using the... | 5 | [
-0.021240234375,
-0.0673828125,
-0.00274658203125,
0.009521484375,
-0.05517578125,
0.051025390625,
0.02880859375,
-0.043701171875,
-0.00946044921875,
0.041748046875,
0.078125,
-0.059814453125,
0.0380859375,
-0.039794921875,
0.014892578125,
-0.00250244140625,
-0.07470703125,
0.03540... | 46,258 | 46258 | |
Converse to Banach's fixed point theorem?
up vote 8 down vote favorite
4
Let $(X,d)$ be a metric space. Banach's fixed point theorem states that if $X$ is complete, then every contraction map $f:X\to X$ has a unique fixed point. A contraction map is a continuous map for
which there is an real number $0\leq r < 1$ such... | 5 | [
-0.0234375,
-0.05615234375,
-0.0029144287109375,
-0.060302734375,
-0.033935546875,
0.056884765625,
0.031982421875,
-0.0177001953125,
0.059814453125,
0.052978515625,
0.004913330078125,
0.0634765625,
0.0279541015625,
0.025146484375,
0.07861328125,
-0.01226806640625,
0.01116943359375,
... | 46,259 | 46259 | |
in how many ways can...
May 2nd 2007, 04:36 PM
Sconts
in how many ways can...
In how many ways can you seat 4 couples at a round table if:
1) each couple sits together?
2) no couples sits together?
I got 12 for the first...I highly doubt it's right though. Any tups? I don't want you to actually solv... | 4 | [
0.05419921875,
-0.0047607421875,
0.0169677734375,
0.00909423828125,
-0.06884765625,
0.07861328125,
-0.013427734375,
0.014404296875,
-0.008056640625,
-0.000591278076171875,
-0.01202392578125,
-0.0234375,
0.044677734375,
0.00384521484375,
0.003143310546875,
-0.0162353515625,
-0.0341796... | 46,260 | 46260 | |
Quadratic in Recurrence relation
July 17th 2011, 11:22 AM
GrigOrig99
Quadratic in Recurrence relation
Hi, first time poster.
Q. In the sequence u1, u2, u3,…,un,
u1 = 0, u2 = 3, u3 = 12 and un = a + bn + cn2
Find the values of a, b and c.
Attempt:
If n = 1 then u1 = a + b(1) + c(1)2 = 0
... | 4 | [
-0.1181640625,
-0.0269775390625,
-0.05078125,
-0.068359375,
-0.107421875,
0.0751953125,
-0.044677734375,
-0.036865234375,
0.0201416015625,
-0.060302734375,
0.01373291015625,
-0.052734375,
-0.02978515625,
0.005828857421875,
-0.06298828125,
-0.0255126953125,
-0.033447265625,
-0.06079... | 46,261 | 46261 | |
ing
Public-Key Encryption by RSA Algorithm
Objective
The purpose of this page is to demonstrate step by step how a public-key encryption system works. We use the RSA algorithm (named after the inventors Rivest, Shamir, Adleman) with very ... | 4 | [
-0.05712890625,
0.05908203125,
-0.07177734375,
0.01123046875,
-0.01171875,
-0.046142578125,
0.00006580352783203125,
0.027587890625,
0.048583984375,
0.0203857421875,
-0.04931640625,
0.1484375,
0.06591796875,
-0.08544921875,
0.0260009765625,
-0.0107421875,
-0.0257568359375,
0.0062866... | 46,262 | 46262 | |
Math Help
July 25th 2008, 03:14 AM #1
1.
Find the equation of a straight line which passes through the point (2,3) and is inclined at 30 Celsius to the positive direction of the x-axis.
2.
find the angle between the straight line 3x-2y=4 and the line joining the points (-2,-1) and (4,1)
please... | 4 | [
-0.07666015625,
-0.005218505859375,
-0.031494140625,
-0.03125,
0.0263671875,
0.0294189453125,
-0.009033203125,
0.09765625,
0.0166015625,
0.00775146484375,
0.08154296875,
-0.091796875,
0.060791015625,
0.00145721435546875,
0.032958984375,
0.099609375,
-0.11083984375,
0.0283203125,
... | 46,263 | 46263 | |
lines in 3 dimensional space
May 26th 2008, 12:45 PM #1
Junior Member
Joined
Sep 2006
Posts
38
lines in 3 dimensional space
i have 2 questions here which probably aren't as hard as i think but my teacher never taught me how to do it, so can anyone help?
1) determine if the vector [1,-1,5] is perpend... | 4 | [
-0.0888671875,
0.016357421875,
0.0031280517578125,
-0.07470703125,
0.05029296875,
-0.01513671875,
0.0277099609375,
-0.034423828125,
-0.08154296875,
0.010986328125,
-0.00927734375,
-0.0035247802734375,
0.0308837890625,
0.00872802734375,
-0.140625,
0.046875,
-0.10302734375,
-0.102050... | 46,264 | 46264 | |
ni
Definition of "division", infinitude of primes, indivisibility of primes. These are used to prove the Fundamental Theorem of Arithmetic.
Division
Division theorem: If a and b are integers, b ≠ 0, a unique integer q exists such that
a = bq + r, where
0 ≤ r < |b|.
The number, r, uniquely determined by the ... | 4 | [
-0.1103515625,
0.007354736328125,
-0.09814453125,
0.01611328125,
0.03955078125,
-0.026611328125,
0.042724609375,
0.044189453125,
0.029296875,
-0.05419921875,
-0.0242919921875,
0.04345703125,
0.1142578125,
0.091796875,
-0.03857421875,
-0.08642578125,
0.05859375,
-0.05224609375,
-0... | 46,265 | 46265 | |
Homework Help
Posted by Kameesha on Friday, August 3, 2012 at 6:33pm.
1.Use completing the square to describe the graph of the following function. Support your answer graphically.
f(x) = -2x^2 + 4x + 5
2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x) = 5x/x+... | 4 | [
-0.05322265625,
0.02001953125,
0.0279541015625,
0.035888671875,
0.025390625,
0.02978515625,
-0.08837890625,
0.0771484375,
0.00182342529296875,
-0.0289306640625,
0.0751953125,
-0.0147705078125,
0.049072265625,
0.0673828125,
-0.0244140625,
0.0203857421875,
-0.0155029296875,
-0.082519... | 46,266 | 46266 | |
How long does it take 3 people to do a job?
November 7th 2011, 01:56 PM #1
Newbie
Joined
Nov 2011
From
Costa Rica
Posts
3
8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 ... | 4 | [
0.01104736328125,
0.0191650390625,
-0.0021209716796875,
-0.01507568359375,
-0.07470703125,
0.0181884765625,
-0.02783203125,
-0.06787109375,
-0.051025390625,
0.0079345703125,
0.017578125,
-0.05615234375,
-0.00537109375,
0.059326171875,
0.05810546875,
0.0164794921875,
-0.05908203125,
... | 46,267 | 46267 | |
The scaling of surface area to volume
OK, so surface area to volume ratios decrease with increasing size (at least for our cube creatures):
┌──────────────────────────┬──────────┬───────────┬──────────┐
│ │small cube│medium cube│large cube│
├──────────────────────────┼──────────┼─... | 4 | [
0.06103515625,
-0.01348876953125,
-0.00151824951171875,
0.045166015625,
-0.00099945068359375,
-0.10888671875,
-0.04541015625,
0.0361328125,
0.018310546875,
0.0103759765625,
-0.0242919921875,
-0.032958984375,
0.00543212890625,
0.09912109375,
0.06103515625,
0.0830078125,
-0.00762939453... | 46,268 | 46268 | |
Distance Problem *HELP*
February 11th 2008, 05:18 PM #1
Junior Member
Joined
Sep 2007
Posts
56
Distance Problem *HELP*
hello everybody wondering if anybody can help me out with this one
- Mary drove from Amity to Belleville at a speed of 50mph. On the way back she drove 60mph. the total trip took 4 ... | 4 | [
0.1015625,
0.00787353515625,
0.055908203125,
0.0098876953125,
-0.0289306640625,
0.010986328125,
-0.09326171875,
0.06103515625,
-0.0869140625,
0.03369140625,
0.07275390625,
-0.052001953125,
0.0272216796875,
0.0257568359375,
0.01092529296875,
0.0498046875,
-0.01708984375,
-0.00073242... | 46,269 | 46269 | |
1+1=2 always true?
December 21st 2010, 06:32 AM #1
Newbie
Joined
Dec 2010
Posts
2
Hi,
I am not sure wether I am in the right forum for this question and it may even turn out banal.
I think to remember that the often cited, unmovable truth 1+1=2 is not so absolute as it seems to be. Could someone ... | 5 | [
-0.047607421875,
-0.040283203125,
0.033203125,
0.06103515625,
0.03076171875,
-0.06396484375,
-0.04248046875,
-0.0123291015625,
0.0927734375,
0.06396484375,
0.04150390625,
0.022705078125,
0.036376953125,
0.036376953125,
-0.00567626953125,
-0.0361328125,
-0.005126953125,
-0.011291503... | 46,270 | 46270 | |
[SciPy-user] predicting values based on (linear) models
josef.pktd@gmai... josef.pktd@gmai...
Tue Jan 13 19:24:21 CST 2009
On Tue, Jan 13, 2009 at 3:33 PM, Tim Michelsen
<timmichelsen@gmx-topmail.de> wrote:
> Hello,
> I had to do several statistical computations lately. I therefore looked
> at the statistical languag... | 5 | [
-0.12060546875,
-0.07666015625,
-0.0206298828125,
0.095703125,
0.08251953125,
-0.025146484375,
-0.02294921875,
0.07861328125,
-0.043212890625,
0.0186767578125,
-0.03271484375,
0.04052734375,
0.07470703125,
0.09228515625,
0.10595703125,
-0.0267333984375,
-0.019287109375,
0.044433593... | 46,271 | 46271 | |
Quadratic Proof
June 23rd 2011, 06:57 AM #1
Newbie
Joined
Jul 2010
Posts
13
I've been having some trouble with this one:
Prove that if $x^2$ > k(x - 2) for all real x, then 0 < k < 8.
I started with taking the k(x-2) to the other side, but I don't think I'm going anywhere with this.
Thanks ... | 4 | [
0.034912109375,
0.04052734375,
0.062255859375,
0.03369140625,
-0.0712890625,
0.022216796875,
-0.0498046875,
0.044677734375,
0.048828125,
0.041259765625,
0.037841796875,
-0.009521484375,
0.0869140625,
0.0264892578125,
-0.049560546875,
0.044677734375,
0.0693359375,
-0.06103515625,
... | 46,272 | 46272 | |
Quadratic Identities - I Need Help Please.
August 8th 2007, 04:36 AM #1
Newbie
Joined
Aug 2007
Posts
21
Quadratic Identities - I Need Help Please.
Find the Values of m, p and q for which $2x^2 - x -1$ is equivilent to $m(x+1)^2 + p(x+1) + q$.
I don't know how to show this. I have Tried to expand the... | 4 | [
0.005950927734375,
0.00095367431640625,
0.09912109375,
0.056884765625,
-0.061767578125,
0.07421875,
-0.03759765625,
0.05810546875,
0.048095703125,
-0.043701171875,
0.0155029296875,
-0.046142578125,
0.0947265625,
0.049560546875,
-0.059814453125,
0.10546875,
0.0859375,
-0.02124023437... | 46,273 | 46273 | |
Homework Help
Posted by Meme J on Wednesday, September 5, 2012 at 12:39am.
write the sigma notation.
5^2+6^2+7^2+...+14^2
You could use capatil E as a sigma.
Please help!!
• calculus - Bosnian, Wednesday, September 5, 2012 at 1:48am
5 = 1 + 4
6 = 2 + 4
7 = 3 + 4
...
14 = 10 + 4
5 ^ ... | 4 | [
0.025634765625,
0.060302734375,
0.08447265625,
0.042724609375,
-0.029296875,
0.0311279296875,
0.04931640625,
0.123046875,
0.03369140625,
-0.01904296875,
-0.01043701171875,
-0.06396484375,
-0.052001953125,
-0.021728515625,
-0.166015625,
-0.056884765625,
-0.060546875,
0.0198974609375... | 46,274 | 46274 | |
Difficult Vector Questions?
January 22nd 2010, 11:43 AM #1
Member
Joined
Feb 2009
Posts
114
Difficult Vector Questions?
I'm having trouble with these problems..matter of fact I don't even know where to start..please help thanks.
1. Find the distance of the point
2. Find the vector
3. You s... | 5 | [
-0.031982421875,
0.01129150390625,
-0.0019683837890625,
-0.07080078125,
0.0213623046875,
0.0255126953125,
0.02490234375,
0.0400390625,
-0.030517578125,
0.02685546875,
0.0927734375,
-0.05712890625,
-0.00604248046875,
0.042724609375,
-0.08056640625,
0.031982421875,
-0.00191497802734375... | 46,275 | 46275 | |
Easy partial fractions question
OK, why do you use Bx+c, like where does it come from. Also when do you use it?
You use partial fractions to integrate rational functions of x (in other words, when you have a polynomial divided by another polynomial). And the best way to think about it is that it's a process
that works... | 4 | [
0.005767822265625,
0.0537109375,
0.0830078125,
0.04736328125,
0.0067138671875,
0.064453125,
-0.054931640625,
-0.05126953125,
-0.02001953125,
0.00885009765625,
0.01416015625,
-0.111328125,
0.01031494140625,
0.051025390625,
0.001953125,
0.0419921875,
0.046875,
0.11279296875,
-0.088... | 46,276 | 46276 | |
bounding roots of a polynomial with Rouche's Theorem
up vote 1 down vote favorite
2
Suppose f(z) = z^n - k [ z^(n-1) + ... + z + 1 ] where n is a positive integer and k is a real constant such that nk<1. I have shown that a root of this polynomial must satisy |z|<1, but I want a
slightly better bound such as 1-k. This... | 5 | [
-0.0517578125,
0.0654296875,
-0.053955078125,
0.060791015625,
-0.015869140625,
-0.07763671875,
-0.0439453125,
0.0213623046875,
-0.03564453125,
-0.0059814453125,
-0.08251953125,
0.033203125,
0.07421875,
0.0027008056640625,
-0.05517578125,
-0.053955078125,
0.02587890625,
-0.041259765... | 46,277 | 46277 | |
A followup on non-homogeneous spaces.
up vote 5 down vote favorite
1
This question asks for an example of a manifold which is not a homogeneous space of any Lie Group, and many examples are given in the answers. However: is there a an example known with a metric of
positive sectional curvature (this, apparently, is a ... | 4 | [
-0.0284423828125,
-0.07080078125,
0.007080078125,
0.060546875,
-0.06689453125,
0.003021240234375,
-0.06005859375,
-0.11669921875,
0.08447265625,
0.0194091796875,
0.034423828125,
-0.056640625,
-0.0888671875,
0.058349609375,
0.0269775390625,
-0.1220703125,
-0.09228515625,
-0.01904296... | 46,278 | 46278 | |
Work: Vector Integration
September 18th 2008, 07:18 PM #1
Work: Vector Integration
The force function $\bold{F} = -\bold{\hat{x}}kx - \bold{\hat{y}}ky$ is using Cartesian coordinates.
Find the work done from (1,1) to (4,4) using the following path:
$(1,1) \to (1,4) \to (4,4)$
So, what I did was:
... | 5 | [
0.0703125,
0.0361328125,
0.01007080078125,
-0.1259765625,
-0.04248046875,
0.01507568359375,
-0.0126953125,
0.0034027099609375,
-0.034912109375,
0.1064453125,
-0.0024566650390625,
-0.00897216796875,
0.016845703125,
0.03857421875,
-0.0888671875,
0.0311279296875,
-0.083984375,
0.01153... | 46,279 | 46279 | |
Graph theory: Prove min degree(G_n) >= k
October 9th 2011, 08:26 PM #1
Junior Member
Joined
Feb 2010
From
New Jersey
Posts
73
Graph theory: Prove min degree(G_n) >= k
Given: G is a simple (no loops or multiple edges) graph with n vertices.
The number of edges in G is at least $n(k-1)-\binom{k}{2}... | 4 | [
0.021728515625,
0.046142578125,
0.0791015625,
0.004425048828125,
0.015869140625,
0.04443359375,
0.02099609375,
0.01361083984375,
-0.0390625,
0.09521484375,
-0.035888671875,
-0.041259765625,
-0.0036468505859375,
-0.0771484375,
-0.0018463134765625,
0.03857421875,
0.016357421875,
0.02... | 46,280 | 46280 | |
When do two elliptic curves have equivalent small etale toposes?
up vote 21 down vote favorite
2
Let $X$ and $Y$ be elliptic curves over an algebraically closed field $K$. If the characteristic of $K$ is nonzero, assume both curves are ordinary or both are supersingular. Does it follow that $X$
and $Y$ have equivalent... | 4 | [
0.042236328125,
-0.01495361328125,
0.00946044921875,
-0.037353515625,
0.10205078125,
-0.060302734375,
0.033203125,
0.0024566650390625,
-0.02197265625,
-0.076171875,
0.06591796875,
-0.0228271484375,
-0.064453125,
-0.00640869140625,
0.12158203125,
-0.01422119140625,
-0.07373046875,
-... | 46,281 | 46281 | |
Orders of field automorphisms of algebraic complex numbers
up vote 0 down vote favorite
Let $Aut(\bar{Q})$ be the automorphism group on the field of algebraic complex numbers. The order of an element $f \in Aut(\bar{Q})$ is the least natural number $n$ (if there exists one) such that $
(f)^{n}$ is identity. What are t... | 5 | [
-0.056884765625,
0.032958984375,
-0.0284423828125,
0.05712890625,
-0.01953125,
0.02978515625,
0.03515625,
-0.01385498046875,
0.07861328125,
-0.07568359375,
-0.00372314453125,
0.021484375,
-0.034912109375,
0.036376953125,
-0.056884765625,
0.050537109375,
-0.1357421875,
-0.0522460937... | 46,282 | 46282 | |
Forming a quadratic equation/Physics motion quesiton?
June 10th 2008, 12:45 PM #1
Junior Member
Joined
Apr 2008
Posts
62
Forming a quadratic equation/Physics motion quesiton?
A particle is observed to to pass through a distance d horizontally and d/10 vertically from the point of projection. Show that if... | 5 | [
-0.0303955078125,
0.006988525390625,
0.059326171875,
-0.058837890625,
-0.037841796875,
0.041259765625,
0.013671875,
0.05322265625,
0.02978515625,
0.037353515625,
0.125,
0.016845703125,
0.0064697265625,
0.0732421875,
-0.01165771484375,
0.0712890625,
0.05517578125,
0.0244140625,
-0... | 46,283 | 46283 | |
sorry asking the same question
October 26th 2012, 06:04 AM
manishamishra
sorry asking the same question
Hello friends ,
I am solving this question:
The sum of how may tersm of the series 6 + 12 + 18 + 24 + ... is 1800 ?
where I came across this equation n^2+n-600=0
got the values n=24 or n=25
... | 4 | [
-0.0849609375,
0.10791015625,
0.034423828125,
0.01019287109375,
-0.048828125,
0.061279296875,
0.018798828125,
0.048828125,
0.00531005859375,
-0.04638671875,
0.003875732421875,
-0.018798828125,
-0.006683349609375,
-0.040771484375,
-0.039794921875,
-0.0186767578125,
-0.043212890625,
... | 46,284 | 46284 | |
We have a simple calculation that we are having troubles solving for n.
November 7th 2012, 01:17 PM #1
Newbie
Joined
Nov 2012
From
Auckland
Posts
2
A=P((r(1+r)^(n))/((1+r)^(n)-1))
solve for n please?
Is this possible? I've tried for a couple of hours but have failed and I need it for some ... | 4 | [
-0.0283203125,
0.08544921875,
-0.0341796875,
0.0272216796875,
-0.01068115234375,
-0.038330078125,
0.0023345947265625,
0.03662109375,
-0.0233154296875,
0.08837890625,
-0.041015625,
-0.00193023681640625,
-0.033447265625,
0.0703125,
0.01080322265625,
0.038818359375,
-0.06298828125,
-0... | 46,285 | 46285 | |
Pigeonhole principle?
December 9th 2007, 06:22 AM
padsinseven
Pigeonhole principle?
Here is the problem as stated in my homework. I am going to state the proof that I have made in full and would like advice on my skills. I think I have it but I am not sure. Please be harsh if
need be. I want the best proof s... | 5 | [
0.034423828125,
0.0283203125,
0.0230712890625,
-0.007080078125,
0.03076171875,
0.05126953125,
0.08203125,
0.03466796875,
0.016845703125,
-0.026611328125,
0.000667572021484375,
-0.0216064453125,
0.0849609375,
-0.0054931640625,
0.0166015625,
0.0625,
0.0303955078125,
-0.03515625,
0.... | 46,286 | 46286 | |
Math Forum Discussions
Re: Enrichment
Posted: Aug 23, 2012 8:49 AM
On Aug 20, 2012, at 5:29 PM, Dave L. Renfro <renfr1dl@cmich.edu> wrote:
> Mike's function, f(x) = (x-1)(x-2) / (x+1)(x+2),
> is a quadratic divided by a quadratic.
This is how I used to attack these problems back in the algebra days. I guess you wo... | 4 | [
-0.06689453125,
0.0257568359375,
0.0020294189453125,
0.01708984375,
-0.038818359375,
0.0018768310546875,
-0.0380859375,
0.046630859375,
0.017578125,
0.0208740234375,
0.0181884765625,
-0.045166015625,
0.045166015625,
0.059326171875,
-0.02490234375,
0.03515625,
0.0595703125,
0.066894... | 46,287 | 46287 | |
mathschallenge.net
Inscribed Circle In Right Angled Triangle
Problem
A circle is inscribed in a right angled triangle with the given dimensions.
Find the radius of the circle in terms of $a$, $b$, and $c$.
Solution
Consider the following diagram.
If we let the radius be $r$ then the red length on the vertical edg... | 4 | [
-0.04296875,
0.03173828125,
-0.0810546875,
0.0311279296875,
-0.01806640625,
0.03466796875,
-0.054931640625,
0.08251953125,
0.0162353515625,
0.0016021728515625,
-0.0234375,
-0.039794921875,
-0.0194091796875,
0.11181640625,
0.0267333984375,
-0.010498046875,
-0.05126953125,
-0.0029602... | 46,288 | 46288 | |
Trig problem (cos)
December 4th 2005, 08:47 PM #1
Junior Member
Joined
Sep 2005
Posts
62
Trig problem (cos)
Hi I really don't know to do this problem.
The equation cos(3x) = 1/2
has two solutions between 0 and 120 degrees. The smaller is _____ degrees and the larger is _______ degrees.
Am ... | 4 | [
-0.055908203125,
0.00653076171875,
-0.021240234375,
0.009033203125,
-0.07763671875,
-0.0050048828125,
0.00225830078125,
0.02880859375,
0.0240478515625,
0.0272216796875,
0.04541015625,
-0.0732421875,
0.0673828125,
0.0225830078125,
0.07568359375,
-0.0595703125,
-0.041259765625,
-0.00... | 46,289 | 46289 | |
What information do the roots of the generating function of the nontrivial zeroes of the Riemann zeta function encode.
up vote 6 down vote favorite
Let $a_{m}$ be the imaginary part of the nontrivial roots of the Riemann zeta function $\zeta(s)$. Suppose we have their generating function $u(x)=\sum_{m=1}^{\infty} a_{m... | 4 | [
-0.10693359375,
-0.00970458984375,
-0.052490234375,
0.1318359375,
0.06396484375,
-0.0205078125,
-0.02001953125,
-0.0002689361572265625,
0.022705078125,
-0.033203125,
0.049072265625,
0.01483154296875,
0.0791015625,
-0.07666015625,
-0.107421875,
0.023193359375,
0.00628662109375,
-0.0... | 46,290 | 46290 | |
Centralizers in GL(n,p)
up vote 7 down vote favorite
5
There appear to be a number of rational canonical forms. The best thing about standards is how many there are to choose from. However, the standard I choose seems to have a centralizer that is
difficult to describe.
1) Is there a reference that chooses a spec... | 4 | [
-0.028076171875,
-0.047607421875,
-0.0966796875,
-0.044677734375,
-0.024169921875,
-0.019775390625,
-0.0167236328125,
0.056640625,
0.0172119140625,
-0.048095703125,
-0.030029296875,
0.06787109375,
0.01708984375,
0.035888671875,
0.01611328125,
0.021240234375,
-0.056884765625,
0.0247... | 46,291 | 46291 | |
Ferrari-Cardano derivation of the quartic formula
Ferrari-Cardano derivation of the quartic formula
Given a quartic equation $x^{4}+ax^{3}+bx^{2}+cx+d=0$, apply the Tchirnhaus transformation $x\mapsto y-\frac{a}{4}$ to obtain
$y^{4}+py^{2}+qy+r=0$ (1)
where
$\displaystyle p$ $\displaystyle=$ $\displaystyle b-... | 4 | [
-0.0732421875,
0.07666015625,
-0.020263671875,
0.044921875,
-0.037353515625,
0.055908203125,
-0.043212890625,
0.00982666015625,
0.039794921875,
-0.01495361328125,
0.046630859375,
-0.07861328125,
-0.048583984375,
0.1279296875,
0.0022430419921875,
0.0693359375,
-0.06982421875,
0.0056... | 46,292 | 46292 | |
Basis, Dimension, and Orthonormality
Date: 06/28/98 at 09:41:28
From: Naomi
Subject: Linear algebra
Hi! I have two questions:
1) How would you find a basis of the kernel, a basis of the image
and determine the dimension of each for this matrix? The
matrix is:
1 2 1 2 1
1 2 2 1 2
2 ... | 5 | [
-0.0228271484375,
-0.016357421875,
-0.0030517578125,
-0.04736328125,
0.058349609375,
-0.00982666015625,
0.05224609375,
0.0166015625,
-0.03662109375,
-0.031982421875,
-0.004547119140625,
-0.0159912109375,
0.0093994140625,
0.001556396484375,
-0.0615234375,
-0.0252685546875,
-0.1328125,... | 46,293 | 46293 | |
Word problem (my teacher is crazy)
May 30th 2008, 12:30 PM
gumi
Word problem (my teacher is crazy)
The following is a well known children's rhyme.
As i was going to St Ives,
I met a man with seven wives;
Every wife had seven sacks;
Every sack had seven cats;
Every cat had seven kits;
Kit... | 4 | [
0.0159912109375,
-0.004119873046875,
-0.008544921875,
0.0712890625,
-0.1259765625,
0.0162353515625,
0.09814453125,
-0.057373046875,
-0.0035858154296875,
0.0269775390625,
-0.036376953125,
-0.018798828125,
0.044677734375,
0.0184326171875,
-0.06689453125,
0.050048828125,
-0.068359375,
... | 46,294 | 46294 | |
Another geometric series
March 11th 2007, 03:58 AM #1
Newbie
Joined
Jan 2007
Posts
18
Another geometric series
Please help...
the sum of the first n terms of a positive geomtetric sequence is 315 and the sum of the 5th 6th and 7th term is 80640. identify the sequence.
I have no idea how to find... | 4 | [
-0.072265625,
0.010498046875,
-0.0673828125,
-0.03271484375,
-0.125,
-0.025146484375,
0.01324462890625,
-0.10205078125,
-0.0087890625,
-0.0028839111328125,
-0.0147705078125,
0.019775390625,
0.0286865234375,
0.041748046875,
-0.0517578125,
0.0135498046875,
-0.09521484375,
-0.05200195... | 46,295 | 46295 | |
Series Manipulation
April 14th 2010, 11:40 AM #1
Series Manipulation
I wanted to find a Maclaurin series for $3\sin^2\dfrac{x}{2}$. Here is what I did:
But since $3\sin^2\dfrac{x}{2} = 3\left(\sin\dfrac{x}{2}\right)^2$, can't I directly use the formula $\sin{x} = \sum_{n=0}^{\infty}\dfrac{(-1)^nx^{2n+1}}{(... | 5 | [
-0.078125,
-0.12890625,
-0.0137939453125,
0.0732421875,
-0.0255126953125,
0.031494140625,
-0.052001953125,
-0.07421875,
0.0537109375,
0.028076171875,
0.055419921875,
-0.043701171875,
-0.0693359375,
-0.01556396484375,
-0.055908203125,
-0.0198974609375,
0.052001953125,
0.04052734375,... | 46,296 | 46296 | |
continuous images of open intervals
up vote 9 down vote favorite
The well-known Hahn-Mazurkiewicz theorem characterizes those nonempty Hausdorff spaces $X$ that admit a continuous surjection $\alpha: [0, 1] \to X$ from the closed unit interval: it is necessary and
sufficient that $X$ be a compact, connected, locally c... | 5 | [
0.0185546875,
-0.0703125,
-0.047607421875,
0.10302734375,
-0.031494140625,
0.033203125,
0.07763671875,
-0.0262451171875,
-0.007415771484375,
-0.0301513671875,
-0.048583984375,
0.0556640625,
0.0751953125,
0.0888671875,
-0.0262451171875,
-0.052734375,
-0.0166015625,
-0.029296875,
0... | 46,297 | 46297 | |
A
ALLOMETRY
Jim Moore, Anthropology, UCSD
In the unlikely ev... | 5 | [
0.0162353515625,
0.031494140625,
0.0047607421875,
-0.0263671875,
-0.003265380859375,
0.02685546875,
-0.0537109375,
0.076171875,
-0.017578125,
0.154296875,
0.052734375,
-0.0198974609375,
-0.0419921875,
0.06591796875,
-0.0211181640625,
-0.05224609375,
-0.045166015625,
0.0751953125,
... | 46,298 | 46298 | |
Intersection of a Parabola and a Line
Date: 10/19/2003 at 02:53:23
From: Joey
Subject: polynomial
What equation would you use to determine the x-coordinates of the
points of intersection of a quadractic function ax^2 + bx + c with
the line y = x? Explain graphically why this procedure is equivalent
to getting the ro... | 4 | [
-0.058349609375,
0.00439453125,
0.00921630859375,
0.0308837890625,
-0.03759765625,
0.08056640625,
-0.0277099609375,
0.06201171875,
0.05029296875,
-0.06396484375,
0.0439453125,
-0.01141357421875,
0.0167236328125,
0.03466796875,
-0.04736328125,
0.0830078125,
-0.061279296875,
-0.10595... | 46,299 | 46299 |