content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
High School Mathematics-Physics SMILE Meeting
02 December 2003
Notes Prepared by Porter Johnson
Announcements
• John Scavo called attention to a website containing a Powerpoint® slide show of images from the Hubble Telescope, at the website http://hubblesite.org/gallery/album/. It takes a while to
download, ... | 4 | [
-0.03955078125,
0.018310546875,
-0.005523681640625,
-0.01953125,
0.00982666015625,
0.0206298828125,
-0.031982421875,
0.1005859375,
0.0341796875,
0.028076171875,
0.0390625,
0.00762939453125,
0.04736328125,
0.05615234375,
0.0001850128173828125,
0.08056640625,
0.009521484375,
-0.10644... | 10,100 | 10100 | |
Series problems--conv. or div?
March 8th 2008, 01:19 PM
KennyYang
Series problems--conv. or div?
I have four calculus problems that I haven't been able to figure out. The general question for them is "Test the series for convergence or divergence by explicitly showing the test being used."
I've tried the Lim... | 5 | [
-0.052490234375,
-0.046875,
-0.037109375,
0.051025390625,
-0.004364013671875,
-0.0177001953125,
-0.04931640625,
0.002532958984375,
0.032958984375,
-0.01324462890625,
0.005035400390625,
0.000827789306640625,
-0.051513671875,
0.055419921875,
-0.010009765625,
-0.06640625,
-0.01556396484... | 10,101 | 10101 | |
Lottery Systems
Wheeling Lotto Numbers, Playing Lotto Wheels or Reduced Lottery Systems
... | 4 | [
-0.0172119140625,
0.068359375,
-0.06396484375,
-0.1328125,
-0.1123046875,
-0.0216064453125,
0.03564453125,
0.10791015625,
-0.05712890625,
0.032958984375,
-0.06298828125,
0.10400390625,
0.08984375,
-0.022705078125,
-0.021728515625,
0.01318359375,
-0.036376953125,
0.0654296875,
-0.... | 10,102 | 10102 | |
Experiencing Geometry : In Euclidean, Spherical and Hyperbolic Spaces
Overview
The book conveys a distinctive approach, stimulating readers to develop a broader, deeper understanding of mathematics through active participation—including discovery, discussion, and writing about
fundamental ideas. It provides a series o... | 5 | [
-0.0302734375,
0.0281982421875,
0.02880859375,
-0.054931640625,
-0.0034942626953125,
-0.03759765625,
0.0164794921875,
-0.0155029296875,
0.10107421875,
-0.005767822265625,
0.01409912109375,
0.0172119140625,
0.0079345703125,
0.0098876953125,
-0.02197265625,
-0.03173828125,
-0.027954101... | 10,103 | 10103 | |
PERMUTATIONS AND COMBINATIONS
In common, students who come across the topic
“Permutation and Combination”
feel it to be confusing.
The basic idea of the topic is selection and arrangement of things. They are widely used in solving problems of probability, genetic engineering and life sciences. Combination to unlock ... | 4 | [
0.042724609375,
0.020751953125,
-0.014404296875,
-0.06494140625,
-0.01904296875,
0.07958984375,
0.0859375,
-0.039306640625,
0.07861328125,
0.080078125,
-0.0026397705078125,
0.06982421875,
0.040771484375,
0.01141357421875,
0.0172119140625,
0.08203125,
-0.0615234375,
0.01068115234375... | 10,104 | 10104 | |
A simple problem...
If sec θ = x + 1/(4x), then prove that sec θ + tan θ = 2x or 1/(2x) .
Hello, snigdha! $\text{If }\sec\theta \:=\: x + \frac{1}{4x},\,\text{ then prove that: }\:\sec\theta + \tan\theta \:=\: 2x\,\text{ or }\,\frac{1}{2x}$ We have: . $\sec\theta \:=\:\frac{4x^2+1}{4x} \;
=\;\frac{hyp}{adj}$ $\theta$ ... | 4 | [
0.00180816650390625,
0.078125,
0.078125,
-0.018310546875,
-0.04052734375,
-0.01202392578125,
0.02734375,
0.047607421875,
0.07421875,
-0.041748046875,
0.0859375,
-0.05322265625,
0.006072998046875,
0.05615234375,
-0.0037078857421875,
0.0257568359375,
0.0191650390625,
0.0634765625,
... | 10,105 | 10105 | |
Differentiable Functions
January 9th 2011, 11:29 AM #1
Member
Joined
Oct 2010
Posts
133
Differentiable Functions
I came across this proof in my notes and I could use some help getting started.
Let $n\in \mathbb{N}$. Then, prove that $x^n$ is differentiable at any point $x$ and $(x^n)'=nx^{n-1}$.
... | 5 | [
0.06005859375,
0.03515625,
0.0059814453125,
0.05224609375,
-0.01318359375,
0.0120849609375,
0.050537109375,
-0.0546875,
-0.01171875,
-0.031982421875,
0.03466796875,
-0.01397705078125,
0.01513671875,
-0.033935546875,
-0.037353515625,
0.054443359375,
-0.007720947265625,
-0.0240478515... | 10,106 | 10106 | |
Two Sides of a Square Divided by a Circle
November 13th 2008, 09:05 AM
gfreeman75
Two Sides of a Square Divided by a Circle
Here's a problem I'm having that involves a square and a circle. The square ABCD is partially within the circle so that the side AB of the square is also a chord of the circle and the side ... | 4 | [
-0.0869140625,
0.064453125,
-0.07080078125,
0.004241943359375,
0.019775390625,
-0.01708984375,
-0.03369140625,
0.09423828125,
0.041748046875,
-0.07763671875,
0.04296875,
-0.006378173828125,
0.045166015625,
0.0458984375,
-0.032470703125,
0.01177978515625,
-0.04248046875,
0.034179687... | 10,107 | 10107 | |
ate
How RUSLE2 Computes Rill and Interrill Erosion
Uses Conservation of Mass Principle
RUSLE2uses the conservation of mass principle to compute estimates of rill and interrill erosion. This principle can be illustrated by considering a segmen... | 4 | [
-0.09765625,
-0.00110626220703125,
0.134765625,
0.027587890625,
0.0267333984375,
-0.060791015625,
0.0038604736328125,
0.0888671875,
-0.005157470703125,
-0.002593994140625,
-0.01239013671875,
-0.06591796875,
-0.0037841796875,
0.01544189453125,
-0.033935546875,
0.0048828125,
-0.0864257... | 10,108 | 10108 | |
Singular points and finding linearly independent solutions
July 8th 2008, 09:14 PM #1
Newbie
Joined
Jul 2008
Posts
11
Singular points and finding linearly independent solutions
The given equation is $2x^2y'' + (x^2 + 3x)y' - y = 0$
1. How would I go proving a singular point that is regular?
I h... | 5 | [
-0.000942230224609375,
-0.023193359375,
0.004852294921875,
0.06396484375,
0.0034942626953125,
0.08154296875,
0.08251953125,
-0.05224609375,
0.0458984375,
-0.035888671875,
0.10205078125,
-0.002349853515625,
0.00537109375,
0.0034027099609375,
-0.04833984375,
-0.027099609375,
-0.1040039... | 10,109 | 10109 | |
Mathematics and Computation
How to implement dependent type theory I
I am spending a semester at the Institute for Advanced Study where we have a special year on Univalent foundations. We are doing all sorts of things, among others experimenting with type theories. We
have got some real experts here who know type theo... | 4 | [
-0.06982421875,
-0.056884765625,
0.029541015625,
0.027587890625,
-0.037109375,
-0.0247802734375,
-0.035400390625,
0.06298828125,
-0.0517578125,
-0.00897216796875,
-0.09619140625,
-0.0189208984375,
-0.07421875,
0.07080078125,
0.0162353515625,
-0.00384521484375,
0.024169921875,
-0.07... | 10,110 | 10110 | |
equation
July 17th 2006, 09:56 PM
Judi
equation
Sixty cookies were to be equally distributed to x campers. When 8 campers did not want the cookies, the other campers each received 2 more cookies. Which of the following equations could be used
to find the number of campers x?
a. X^2-8X-240=0
b. X^2-8X... | 4 | [
0.00555419921875,
0.1005859375,
0.009033203125,
0.05908203125,
-0.055419921875,
0.00160980224609375,
0.061279296875,
0.000545501708984375,
0.031982421875,
0.0458984375,
0.0732421875,
-0.11962890625,
0.02197265625,
0.044189453125,
0.080078125,
0.02197265625,
-0.06396484375,
-0.01867... | 10,111 | 10111 | |
Extension of scalars and support of a non-finitely generated module
up vote 1 down vote favorite
This is a question about support of modules under extension of scalars.
Let $f \colon A \to B$ be a homomorphism of commutative rings (with unity), and let $M$ be a finitely generated $A$-module. Recall that the support o... | 5 | [
-0.002593994140625,
0.01141357421875,
-0.1064453125,
0.028564453125,
0.03466796875,
0.0419921875,
0.043212890625,
-0.013671875,
-0.06103515625,
-0.060546875,
0.0189208984375,
-0.0062255859375,
0.11328125,
-0.0120849609375,
0.044921875,
0.130859375,
0.006988525390625,
-0.01373291015... | 10,112 | 10112 | |
Problem with recursion? (was [plt-scheme] Re: Novice needs help writing function )
Problem with recursion? (was [plt-scheme] Re: Novice needs help writing function )
From: Robby Findler (robby at cs.uchicago.edu)
Date: Fri Jan 4 16:45:59 EST 2008
On Jan 4, 2008 2:43 PM, Yavuz Arkun <yarkun at gmail.com> wrote:
> I di... | 4 | [
-0.064453125,
-0.0849609375,
-0.01348876953125,
-0.0191650390625,
-0.07666015625,
-0.06591796875,
0.005279541015625,
0.09814453125,
0.06689453125,
0.0028076171875,
0.029052734375,
-0.01531982421875,
-0.0181884765625,
0.038330078125,
0.0189208984375,
0.010986328125,
-0.0849609375,
0... | 10,113 | 10113 | |
Intransitive Dice
Intransitive Dice*
(*How to win free drinks from your friends)
I predict this posting (similar to my recent postings about Benford’s Law and Counterintuitive Conundrums) is initially going to generate a lot of “No way!” and “That can’t possibly be true!”
comments.
Hold on tight and I'll show you ho... | 5 | [
-0.0517578125,
-0.029296875,
-0.027587890625,
-0.031494140625,
-0.01904296875,
0.052490234375,
0.0849609375,
-0.048583984375,
0.09375,
-0.00421142578125,
-0.004791259765625,
-0.034423828125,
0.0302734375,
0.03271484375,
0.09033203125,
-0.035888671875,
-0.05078125,
-0.0400390625,
... | 10,114 | 10114 | |
How do I simplify these polynomial fractions?
March 6th 2010, 06:54 PM
quikwerk
How do I simplify these polynomial fractions?
I think I might have gotten the answer to these but I don't know....
(9x^2-3x)/3x
answer
3x-1
^^^^^^^^^^^
(x^2-5x+4/x-1
answer
x-4
^^^^^^^^^^^^^^^^
... | 4 | [
-0.007171630859375,
-0.033203125,
-0.0036468505859375,
0.02392578125,
0.0157470703125,
0.035400390625,
-0.030517578125,
-0.05712890625,
-0.024169921875,
-0.04638671875,
-0.0281982421875,
-0.08154296875,
0.0032958984375,
0.04638671875,
0.0277099609375,
0.0791015625,
-0.0250244140625,
... | 10,115 | 10115 | |
RootsWeb: GENEALOGY-DNA-L Re: [DNA] Central Limit Theorem in Action
GENEALOGY-DNA-L Archives
Archiver > GENEALOGY-DNA > 2008-03 > 1204658813
From: James Heald <>
Subject: Re: [DNA] Central Limit Theorem in Action
... | 4 | [
-0.07177734375,
-0.103515625,
0.0166015625,
-0.0673828125,
0.07568359375,
-0.00555419921875,
-0.035888671875,
0.06640625,
-0.035888671875,
-0.0272216796875,
0.12060546875,
-0.023193359375,
0.03271484375,
-0.05859375,
-0.07568359375,
0.037353515625,
-0.05908203125,
-0.01434326171875... | 10,116 | 10116 | |
Binomial Probability Problem
May 9th 2011, 07:59 AM #1
Member
Joined
Dec 2009
Posts
97
Binomial Probability Problem
hey guys i got a final exam on wednesday and i am working on some practice questions
jus need some help in doing this 1 dont really care about the answer
i jus want the steps in sol... | 4 | [
0.04638671875,
0.03466796875,
0.0419921875,
-0.04345703125,
-0.0947265625,
-0.0201416015625,
-0.0029754638671875,
0.0025634765625,
-0.03369140625,
0.1181640625,
0.0274658203125,
-0.1279296875,
-0.01153564453125,
0.0244140625,
0.02685546875,
-0.01318359375,
0.0024871826171875,
-0.00... | 10,117 | 10117 | |
Maximum Log-Likelihoods
March 8th 2008, 08:29 AM #1
Maximum Log-Likelihoods
Suppose r successes were obtained in a sequence of m Bernoulli trials with success probability ${\Theta}_1$, and that in an independent second sequence of n Bernoulli trials with success
probability ${\Theta}_2$, there were s successe... | 4 | [
-0.0076904296875,
-0.10498046875,
0.004547119140625,
-0.0390625,
0.05908203125,
-0.0213623046875,
0.03662109375,
0.0537109375,
0.076171875,
-0.00165557861328125,
0.00238037109375,
0.050537109375,
0.10791015625,
0.0011138916015625,
0.060302734375,
0.05078125,
0.0458984375,
0.0615234... | 10,118 | 10118 | |
arctan and arccot
why does $-3 cot^{-1} \frac{3}{\sqrt{x^2-9}} = 3 tan^{-1} \frac{3}{\sqrt{x^2-9}}$ ??
I get their difference is \begin{align*}&\frac{3\pi}{2} \;\; \{x: \left|x\right| < 3 \} \\ \\ &\frac{-3\pi}{2} \;\; \{x: \left|x \right| \geq 3 \} \end{align} so I wouldn't call them equal. Why do
you think they are?... | 5 | [
0.027587890625,
-0.0634765625,
0.0228271484375,
0.006561279296875,
0.056884765625,
-0.032470703125,
-0.06591796875,
0.09716796875,
0.046875,
-0.05029296875,
0.046142578125,
-0.029541015625,
0.0322265625,
0.026611328125,
-0.001373291015625,
-0.05224609375,
0.04443359375,
-0.02624511... | 10,119 | 10119 | |
Ways of seating people around a circular table
November 14th 2009, 06:33 AM
HelenaStage
Ways of seating people around a circular table
Six people sit around a circular table. Person A and B must not sit next to each other...how many ways are there of seating them?
November 14th 2009, 07:47 AM
Soroban
Hell... | 4 | [
0.05078125,
-0.04296875,
-0.006439208984375,
-0.051025390625,
-0.0703125,
0.0986328125,
0.041015625,
-0.017822265625,
-0.0107421875,
0.08056640625,
0.0269775390625,
-0.032958984375,
0.068359375,
-0.04443359375,
0.0260009765625,
0.0223388671875,
-0.045166015625,
-0.0205078125,
-0.... | 10,120 | 10120 | |
A Beautiful Ray/Mesh Intersection Algorithm
In my last post, I talked about a beautiful method for computing ray/triangle intersections. In this post, I will extend it to computing intersections with triangle fans. Since meshes are often
stored in a corner table, which is simply an array of triangle fans, this gives a... | 4 | [
0.00174713134765625,
-0.01434326171875,
-0.078125,
-0.010009765625,
0.01123046875,
-0.1015625,
-0.046142578125,
-0.060546875,
0.018798828125,
0.036376953125,
-0.05322265625,
-0.03173828125,
-0.0252685546875,
0.040283203125,
0.0135498046875,
0.06982421875,
-0.03173828125,
0.01953125... | 10,121 | 10121 | |
Cubic Diophantine Equation in Three Variables
Date: 09/10/2004 at 05:42:16
From: Juan Pablo
Subject: Number theory
I want to find integer solutions of the equation x^3 + y^3 = 31z^3. I
know the fundamental solution is (137, -65, 42), but want to have all
the values positive. I know also that there is an arithmetic
... | 5 | [
-0.04638671875,
0.0257568359375,
-0.0849609375,
0.033447265625,
-0.057373046875,
-0.024658203125,
0.09765625,
-0.080078125,
-0.00909423828125,
-0.016845703125,
0.035400390625,
0.020263671875,
0.0576171875,
0.06396484375,
0.08740234375,
0.00091552734375,
-0.04150390625,
0.0134277343... | 10,122 | 10122 | |
Slot-wise Addition of Pythagorean Triples
Date: 07/17/2003 at 13:28:12
From: Chester
Subject: Slot-wise addition of Pythagorean triples
Is it possible to have a primitive Pythagorean triple, (a,b,c) such
that a^2+b^2 = c^2, and two other Pythagorean triples, not necessarily
primitive (x,y,z) and (p,q,r) with the prop... | 5 | [
-0.06787109375,
0.046142578125,
-0.044921875,
0.041748046875,
-0.0615234375,
0.022216796875,
-0.03515625,
-0.044189453125,
-0.0087890625,
-0.005828857421875,
-0.006439208984375,
0.048095703125,
-0.044921875,
0.0791015625,
0.0247802734375,
-0.0250244140625,
-0.0673828125,
0.00027656... | 10,123 | 10123 | |
Sigma and Pi Notation
April 1, 2010
Sigma Notation
$\sum$ is a capital letter from the Greek alphabet called “Sigma”… it corresponds to “S” in our alphabet (think of the starting sound of the word “sigma”). It is used in mathematics to represent the
sum of a bunch of terms (think of the starting sound of the word “s... | 4 | [
-0.05517578125,
-0.064453125,
-0.0137939453125,
-0.00823974609375,
-0.058349609375,
0.046875,
0.0478515625,
0.056884765625,
0.09814453125,
0.031982421875,
0.01434326171875,
0.01953125,
0.06005859375,
-0.0252685546875,
-0.06103515625,
-0.031005859375,
-0.0211181640625,
0.0400390625,... | 10,124 | 10124 | |
Primes in Quadratic Fields
July 21st 2010, 10:46 AM #16
Member
Joined
Jun 2010
From
United States
Posts
200
Hmm, I may have jumped the gun, in terms of, it looks like we can "finesse" your requirement to match the definition.
Wikipedia (and MathWorld) gives:
$\alpha = a + b\omega \in \mathbb... | 5 | [
-0.004791259765625,
-0.02197265625,
0.011474609375,
-0.042236328125,
0.0283203125,
-0.00885009765625,
0.0859375,
0.031494140625,
0.008056640625,
-0.05517578125,
0.0024871826171875,
0.0087890625,
0.0000034421682357788086,
-0.0064697265625,
-0.03466796875,
-0.017822265625,
0.0018234252... | 10,125 | 10125 | |
Prove divisibility test for 11 using induction
August 13th 2011, 03:48 AM #1
Prove divisibility test for 11 using induction
Consider the positive integer 11.
1 - 1 = 0, which is divisible by 11.
Let the statement be true for a positive integer m, which is divisible by 11.
$S(m)=a_1-a_2+a_3-...+(-1)^{... | 4 | [
-0.09619140625,
0.03173828125,
-0.00933837890625,
-0.0849609375,
0.051513671875,
0.052001953125,
0.015869140625,
0.07666015625,
-0.0673828125,
0.02197265625,
-0.00193023681640625,
0.08447265625,
0.0693359375,
0.02197265625,
-0.0703125,
-0.0703125,
0.0281982421875,
0.039306640625,
... | 10,126 | 10126 | |
Bell Numbers
Date: 08/29/2001 at 02:16:52
From: Ben
Subject: Combination to split a group
Hi,
I am looking for the formula for the number of different groups we can
split a group of n different items into - order does not matter.
E.g. to split a,b there are 2 possibilities: a alone b alone, and a+b
in the same gro... | 4 | [
-0.07177734375,
-0.049560546875,
0.00138092041015625,
0.0013427734375,
-0.0693359375,
0.06396484375,
0.049560546875,
-0.010498046875,
0.0035247802734375,
0.007354736328125,
-0.03369140625,
0.04931640625,
-0.0133056640625,
-0.026123046875,
-0.03564453125,
0.058837890625,
-0.0532226562... | 10,127 | 10127 | |
How to compute homology of symmetric products of complexes?
up vote 7 down vote favorite
2
First, I would appreciate references on the notion of derived symmetric powers of perfect modules over various kinds of derived commutative algebras (say cdgas in characteristic zero, simplicial
commutative rings, or $E_{\infty}... | 5 | [
-0.07470703125,
0.038818359375,
-0.010498046875,
0.0274658203125,
-0.022705078125,
-0.0184326171875,
0.038818359375,
0.032958984375,
-0.0576171875,
0.005706787109375,
0.056640625,
-0.01953125,
0.051513671875,
0.010986328125,
0.056884765625,
0.09814453125,
-0.0150146484375,
0.109375... | 10,128 | 10128 | |
Autodynamics
Pioneer 11/10 and the Solar Mass.
Even though the auto-called *scientific Community* accept, in a big proportion, that the Pioneer anomaly is related to its radioactive engine, there is another Satellite, the Ulysses orbiti... | 4 | [
-0.080078125,
0.0038604736328125,
0.0673828125,
0.035400390625,
-0.006103515625,
0.0030059814453125,
-0.072265625,
0.061767578125,
-0.0250244140625,
0.1025390625,
0.050048828125,
0.01202392578125,
0.0634765625,
-0.0908203125,
-0.09765625,
-0.006439208984375,
0.0224609375,
-0.049072... | 10,129 | 10129 | |
How Much Money is Left?
Date: 1 May 1995 01:13:19 -0400
From: Anonymous
Subject: Math problem
This problem was given to a sixth grader. I tried to work it using what I
remembered of high school algebra but I couldn't arrive at an answer that
worked. Any help in solving would be appreciated. Thanks in advance.
Work ... | 4 | [
0.00162506103515625,
0.07763671875,
0.004150390625,
0.0091552734375,
-0.0302734375,
-0.03173828125,
0.046630859375,
0.0257568359375,
-0.01458740234375,
0.048828125,
0.022705078125,
-0.09619140625,
0.0108642578125,
-0.0179443359375,
0.041259765625,
0.01007080078125,
0.0185546875,
-0... | 10,130 | 10130 | |
Charles Law
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Charles Law 15,083 views
Charles Law states that the volume of a given mass of a gas is directly proportional to its Kevin temperature at constant pressure. In mathematical terms, the relationship b... | 4 | [
-0.0458984375,
0.0196533203125,
0.044189453125,
0.1201171875,
0.00982666015625,
0.023681640625,
0.01318359375,
0.006683349609375,
0.0849609375,
0.0172119140625,
-0.0269775390625,
-0.034912109375,
0.06787109375,
0.00555419921875,
-0.0201416015625,
-0.007598876953125,
0.005584716796875... | 10,131 | 10131 | |
Analogue of van der Corput sequence for prime numbers
up vote 5 down vote favorite
1
A van der Corput sequence is a low-discrepancy sequence over the unit interval first published in 1935 by the Dutch mathematician J. G. van der Corput. It is constructed by placing a decimal point
and writing the base $n$ representati... | 5 | [
-0.061767578125,
0.023681640625,
0.01422119140625,
-0.10546875,
0.002685546875,
0.061767578125,
0.0303955078125,
0.11572265625,
0.053466796875,
0.006103515625,
-0.00848388671875,
0.05078125,
-0.0537109375,
-0.001708984375,
-0.0252685546875,
-0.1572265625,
0.0150146484375,
0.0068054... | 10,132 | 10132 | |
A quantitative genetic and epigenetic model of complex traits
Abstract
Background
Despite our increasing recognition of the mechanisms that specify and propagate epigenetic states of gene expression, the pattern of how epigenetic modifications contribute to the overall genetic
variation of a phenotypic trait remains ... | 4 | [
-0.003387451171875,
-0.003509521484375,
-0.03759765625,
0.0279541015625,
-0.01513671875,
0.0284423828125,
-0.048095703125,
-0.0191650390625,
-0.0830078125,
-0.019775390625,
0.031982421875,
-0.0206298828125,
-0.0390625,
0.0123291015625,
-0.021240234375,
0.02197265625,
-0.0771484375,
... | 10,133 | 10133 | |
Statistical process control of mortality series in the Australian and New Zealand Intensive Care Society (ANZICS) adult patient database: implications of the data generating process
Abstract
Background
Statistical process control (SPC), an industrial sphere initiative, has recently been applied in health care and pub... | 4 | [
-0.034423828125,
-0.0869140625,
-0.06494140625,
0.04736328125,
0.0233154296875,
0.08935546875,
-0.055908203125,
0.0181884765625,
0.0537109375,
0.09765625,
-0.031982421875,
-0.0032806396484375,
0.0206298828125,
-0.017822265625,
-0.0986328125,
-0.08740234375,
-0.039306640625,
-0.1215... | 10,134 | 10134 | |
Valid example of proof by contradiction?
May 9th 2011, 11:30 PM #1
Newbie
Joined
May 2011
From
Los Angeles
Posts
23
Valid example of proof by contradiction?
I'm studying "How To Prove It" (Velleman) and I'm on exercise 3.7. The solution I gave is a "proof by contradiction" and I would like to verify ... | 4 | [
-0.048828125,
0.054931640625,
-0.005584716796875,
0.039306640625,
-0.0255126953125,
-0.036376953125,
-0.039306640625,
-0.0517578125,
0.03857421875,
0.06591796875,
0.0303955078125,
0.04052734375,
0.1103515625,
0.09521484375,
0.0703125,
0.042724609375,
-0.0120849609375,
0.02160644531... | 10,135 | 10135 | |
Plotting Probability Density / Mass Function of Dataset in R
up vote 12 down vote favorite
6
I have data set and i want to analysis this data by probability density function or probability mass function in R ,i used density function but it didn't gave me a probability.
my data like this:
"step","Time","energy"
1, 22... | 5 | [
-0.01953125,
-0.052734375,
-0.029296875,
-0.002593994140625,
0.04931640625,
-0.07275390625,
0.04296875,
-0.0341796875,
0.01007080078125,
0.05419921875,
0.0115966796875,
-0.07373046875,
-0.0262451171875,
0.0303955078125,
0.07470703125,
-0.06640625,
0.03271484375,
-0.0634765625,
0.... | 10,136 | 10136 | |
Explain how these proofs work
March 28th 2014, 11:52 AM #1
Newbie
Joined
Feb 2014
From
United States
Posts
21
Explain how these proofs work
Hi all,
We have made it to function proofs in my class. I really have a hard time understanding proofs at all. Can someone explain to me how these couple ex... | 5 | [
-0.031494140625,
0.072265625,
0.0250244140625,
0.060302734375,
0.0194091796875,
-0.00005650520324707031,
0.0517578125,
0.0018310546875,
0.0174560546875,
-0.080078125,
0.0174560546875,
-0.024169921875,
0.0693359375,
0.042724609375,
-0.0888671875,
0.01806640625,
0.004119873046875,
-0... | 10,137 | 10137 | |
Matrix
November 23rd 2012, 04:44 AM
Petrus
Matrix
Hello i got a problem!
ima decide a inverkar to this Matrix A=1 0 -1 1 an it says clue ima set B= x y z tand decide x,y,z,t, for B shall be inverse to A.( its 2x2 the first 2 number are the number on top and the last 2
is at bottom idk what u say on engli... | 5 | [
-0.0546875,
0.036865234375,
-0.038330078125,
-0.0245361328125,
-0.00183868408203125,
-0.08447265625,
0.06103515625,
0.00182342529296875,
-0.0262451171875,
0.03076171875,
0.020263671875,
0.031982421875,
0.041259765625,
-0.0034637451171875,
-0.087890625,
0.047119140625,
-0.04345703125,... | 10,138 | 10138 | |
Rotating Matrices
Date: Mon, 28 Aug 1995 13:17:04 -0700
From: Anonymous
Subject: Re: where is information on rotating matrices?
What if there's a spinning thing, and it has an axis,
and you have to line up the axis of the real thing with the math
of a model? Where's information on rotating matrices to do this???
D... | 5 | [
-0.0693359375,
-0.09033203125,
-0.11669921875,
-0.09912109375,
-0.02197265625,
0.0284423828125,
-0.09814453125,
-0.0196533203125,
0.042724609375,
0.0010833740234375,
0.059814453125,
0.0732421875,
-0.004547119140625,
0.036865234375,
-0.050048828125,
-0.020751953125,
-0.0830078125,
0... | 10,139 | 10139 | |
Quadratic Equation Question
February 9th 2011, 12:14 AM
Yuuki
Quadratic Equation Question
Attachment 20721
The question is in the image.
Let me know if you can't see it.
I may add some questions regarding quadratic equations later..
February 9th 2011, 12:46 AM
emakarov
What does " $x=\alpha,\... | 4 | [
-0.051025390625,
0.02490234375,
0.0216064453125,
0.05126953125,
-0.0791015625,
0.04248046875,
0.0185546875,
-0.0198974609375,
0.0279541015625,
-0.042236328125,
0.09375,
0.03662109375,
-0.01904296875,
-0.043212890625,
-0.026123046875,
0.0634765625,
0.003753662109375,
0.0134887695312... | 10,140 | 10140 | |
Negative fractional indices
February 17th 2010, 08:27 PM #1
Newbie
Joined
Jul 2009
Posts
18
Negative fractional indices
Rewrite x^(-3/2) without negative indices.
I thought it would be x^(2/3)... why is this not correct?
Also what is the difference between indices and exponents?
recall, $x... | 4 | [
-0.03759765625,
-0.07958984375,
-0.036376953125,
0.111328125,
-0.03955078125,
-0.1318359375,
0.054443359375,
-0.0242919921875,
0.12353515625,
0.0169677734375,
0.060791015625,
-0.07958984375,
0.019287109375,
0.064453125,
-0.00077056884765625,
0.0159912109375,
-0.025146484375,
-0.017... | 10,141 | 10141 | |
Homework Help
Posted by Anonymous on Saturday, March 1, 2008 at 11:20pm.
Beginning with a tank containing 8075 gallons of gasoline, more gas is added at a rate of 5 gallons per minute, while alcohol is added at a rate of 10 gallons per minute. When the mixture is 10%
alcohol, how many gallons of the mixture are in the... | 4 | [
-0.02783203125,
0.06689453125,
0.004241943359375,
-0.0238037109375,
0.02587890625,
0.0057373046875,
0.05078125,
0.02880859375,
-0.0260009765625,
-0.01422119140625,
-0.003662109375,
-0.0263671875,
0.019287109375,
0.115234375,
0.01397705078125,
0.038330078125,
-0.0286865234375,
-0.03... | 10,142 | 10142 | |
Estimating view parameters from random projections for Tomography using spherical MDS
Abstract
Background
During the past decade, the computed tomography has been successfully applied to various fields especially in medicine. The estimation of view angles for projections is necessary in some special
applications of t... | 4 | [
0.01422119140625,
0.03857421875,
0.0244140625,
-0.162109375,
0.03173828125,
-0.004241943359375,
-0.02978515625,
-0.0037689208984375,
0.037841796875,
0.03662109375,
-0.00848388671875,
0.048828125,
0.0927734375,
0.0654296875,
-0.1279296875,
-0.103515625,
-0.04736328125,
0.109375,
-... | 10,143 | 10143 | |
Math Forum Discussions
fom
Posts: 1,968
Registered: 12/4/12
Re: Uncountably Nested Intervals
Posted: Jan 5, 2013 3:31 AM
On 1/4/2013 8:23 PM, Ross A. Finlayson wrote:
> On Jan 4, 11:04 am, fom <fomJ...@nyms.net> wrote:
<snip>
>>
>>> Here, the conundrum is that in ZFC there are uncountably many
>>> irrationals, that ... | 4 | [
-0.0419921875,
-0.08251953125,
-0.03173828125,
0.07373046875,
0.00177001953125,
0.072265625,
0.0284423828125,
0.0260009765625,
0.033447265625,
-0.05517578125,
-0.036865234375,
-0.047607421875,
0.0517578125,
0.02587890625,
0.01531982421875,
-0.07177734375,
0.0322265625,
-0.046386718... | 10,144 | 10144 | |
Amfitech
Scanning with electrostatic fields
Posed by: Jan Teuber for Amfitech Aps.
This problem aims to investigate scanning of dielectric objects using stationary (electrostatic) fields.
Consider a standard plate capacitor with a voltage V=Q/C across the plates, where C=\epsilon_0 A/d is the capacitance of the sys... | 4 | [
-0.01025390625,
0.1103515625,
0.0284423828125,
-0.0257568359375,
0.10009765625,
-0.04150390625,
0.1025390625,
0.05126953125,
0.041015625,
0.10009765625,
-0.015869140625,
-0.0634765625,
0.0830078125,
0.1064453125,
-0.028564453125,
-0.1484375,
-0.01318359375,
0.01251220703125,
-0.0... | 10,145 | 10145 | |
Derivative of e^(xlnx)
March 30th 2008, 01:01 PM #1
Member
Joined
Feb 2008
Posts
97
Derivative of e^(xlnx)
For the question e^(xlnx), the derivative is given as x^x(1+lnx). I understand where the (1+lnx) comes from, that is the derivative of xlnx, but I'm not sure why it's being multiplied by x^x. I
... | 5 | [
0.037109375,
-0.039306640625,
0.1044921875,
-0.052001953125,
0.09033203125,
-0.0458984375,
0.06591796875,
0.06396484375,
-0.018798828125,
0.06201171875,
0.109375,
-0.06201171875,
0.0184326171875,
0.0022125244140625,
0.021484375,
0.0279541015625,
-0.095703125,
-0.05322265625,
-0.0... | 10,146 | 10146 | |
Find function base on first order derivatives
April 21st 2009, 05:29 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Find function base on first order derivatives
Suppose that the function $f: \mathbb {R}^2 \rightarrow \mathbb {R}$ has the properties of:
a) $f(0,0)=1$
b) $\frac { \part... | 5 | [
0.017333984375,
-0.07666015625,
-0.032958984375,
-0.09326171875,
-0.006011962890625,
0.08544921875,
-0.0279541015625,
0.00848388671875,
0.0230712890625,
0.0498046875,
0.049560546875,
-0.06494140625,
-0.00701904296875,
-0.015869140625,
0.055908203125,
0.0042724609375,
-0.076171875,
... | 10,147 | 10147 | |
Math Forum Discussions
Re: VectorToMatrix
Posted: Jul 8, 1996 1:54 AM
In article <4qqn5d$49m@dragonfly.wolfram.com>,
Robert Pratt <rpratt@math.unc.edu> wrote:
->I want to define a function VectorToMatrix[list_, n_] that behaves as
->follows:
->
->VectorToMatrix[{a,b,c,d,e,f,g,h,i,j}, 4]//MatrixForm
->
->0 a b c d
->0 ... | 4 | [
-0.05615234375,
0.05908203125,
-0.09423828125,
-0.0458984375,
-0.0186767578125,
0.03271484375,
-0.0302734375,
-0.0517578125,
-0.047119140625,
0.0032501220703125,
-0.0390625,
0.0247802734375,
-0.07177734375,
-0.01202392578125,
-0.06689453125,
0.06103515625,
-0.017822265625,
0.050292... | 10,148 | 10148 | |
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: Ky Fan inequality
Replies: 5 Last Post: Oct 25, 20... | 5 | [
-0.0634765625,
-0.0849609375,
0.09912109375,
0.004364013671875,
-0.078125,
-0.0294189453125,
-0.07080078125,
-0.076171875,
0.0712890625,
0.11767578125,
-0.05029296875,
-0.0023040771484375,
0.10107421875,
0.03955078125,
0.0294189453125,
0.11767578125,
0.055908203125,
0.017822265625,... | 10,149 | 10149 | |
Resistors in Parallel
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Resistors in Parallel 10,623 views
Resistors in parallel consist of two separate independent circuits so that when the current reaches a resistor, the current can choose which to go throug... | 5 | [
-0.037841796875,
-0.038330078125,
-0.00537109375,
0.032470703125,
-0.0010986328125,
0.003631591796875,
-0.064453125,
0.05029296875,
0.037353515625,
-0.00043487548828125,
0.00946044921875,
-0.004119873046875,
0.10595703125,
-0.022705078125,
0.009033203125,
0.019775390625,
-0.063964843... | 10,150 | 10150 | |
How to Perform Complex Processing with Op Amps
If you understand the basic building blocks of op amp circuits, you’re ready to tackle complex processing actions with op amps. Using op amp circuits, you can analyze an instrumentation amplifier,
solve mathematical equations, or create systems for signal processing, inst... | 4 | [
-0.0556640625,
0.07080078125,
0.0052490234375,
0.024169921875,
-0.0022735595703125,
-0.11083984375,
-0.08251953125,
-0.040283203125,
0.01214599609375,
0.0341796875,
-0.08056640625,
-0.08447265625,
0.0791015625,
-0.01251220703125,
-0.03955078125,
-0.00811767578125,
-0.007080078125,
... | 10,151 | 10151 | |
if k is weakly inaccessible, then it is the k-th aleph fixed point
up vote 4 down vote favorite
A cardinal $\kappa$ is weakly inaccessible iff $\kappa > \omega$, $\kappa$ is regular, and $\forall\lambda<\kappa(\lambda^+<\kappa)$
(here $\lambda^+$ is the successor cardinal)
A cardinal $\kappa$ is strongly inaccessibl... | 5 | [
0.10791015625,
-0.01519775390625,
0.00012874603271484375,
0.0274658203125,
0.06201171875,
0.0634765625,
-0.003509521484375,
0.025634765625,
0.033447265625,
0.0086669921875,
-0.0751953125,
0.015625,
0.007354736328125,
0.00885009765625,
0.0291748046875,
0.0291748046875,
0.026611328125,... | 10,152 | 10152 | |
Linear Regression
Case Study #3: Spatial Analysis of Disease Spread Using Linear Regression
Vereijssen, J., Schneider, J. H. M., Stein, A., and Jeger, M. J. 2006. Spatial pattern of Cercospora leaf spot of sugar beet in fields in long- and recently-established areas. European Journal of
Plant Pathology 116:187-1... | 5 | [
0.07958984375,
-0.01226806640625,
0.01104736328125,
-0.0439453125,
0.08642578125,
0.0341796875,
-0.0179443359375,
0.04638671875,
0.039306640625,
0.1064453125,
0.0888671875,
0.0009765625,
0.036376953125,
0.012939453125,
-0.034423828125,
-0.016845703125,
-0.064453125,
-0.052978515625... | 10,153 | 10153 | |
Rings of Polynomials _ Division ALgorithm
October 5th 2012, 02:36 AM #1
Rings of Polynomials _ Division ALgorithm
I am reading Papantonopoulou - Algebra, Ch 8, Rings of Polynomials
Theorem 8.2.2 (Division Algorithm) reads as follows: (see attachment for full proof)
Let F be a field and f(x) and g(x) ele... | 4 | [
-0.119140625,
0.034912109375,
-0.00836181640625,
0.01202392578125,
-0.0294189453125,
0.0036468505859375,
0.10009765625,
-0.0322265625,
-0.014404296875,
-0.07275390625,
-0.03125,
0.009033203125,
0.0908203125,
-0.036865234375,
-0.039306640625,
-0.00787353515625,
-0.0135498046875,
0.0... | 10,154 | 10154 | |
Angle Between Two Sides of a Pyramid
Date: 10/29/1999 at 10:59:41
From: Janice Lukens
Subject: Calculate the angle between two sides of a pyramid
Dear Dr. Math,
I have run into a problem that I am not sure how to solve. I make
stained glass lampshades and need the formula to calculate the angle
created by any two s... | 5 | [
0.00075531005859375,
0.046875,
-0.02685546875,
-0.05908203125,
-0.04541015625,
0.01806640625,
-0.04248046875,
0.0673828125,
-0.057861328125,
0.020263671875,
-0.057373046875,
-0.000072479248046875,
-0.047119140625,
0.049560546875,
0.038330078125,
0.021728515625,
-0.046142578125,
0.0... | 10,155 | 10155 | |
My generalization to a problem , not sure it is true
May 15th 2010, 10:47 PM
simplependulum
My generalization to a problem , not sure it is true
I am doing the past Putnam problems and one is
Prove that $\frac{1}{n+1} \binom{2n}{n}$ is an integer .
I make a generalization , which is :
$\frac{1}{n+... | 5 | [
0.06591796875,
-0.00016498565673828125,
0.08544921875,
0.0118408203125,
-0.000926971435546875,
0.06884765625,
0.034423828125,
0.0810546875,
-0.02783203125,
0.03173828125,
-0.048828125,
-0.04150390625,
-0.02587890625,
0.03369140625,
0.00070953369140625,
-0.0120849609375,
0.123046875,
... | 10,156 | 10156 | |
Definitions of Advanced Concepts
Date: 11/13/98 at 12:14:48
From: Kaelyn Morrison
Subject: Simple Definitions
Could you please give simple, clear-cut, understandable definitions of
the following?
Pythagorean Triplets
Principle of Duality
Euclid's Elements
Cycloid
Fermat's Last Theorem
Sincerely,
Kaelyn Morrison
... | 4 | [
-0.09619140625,
0.0299072265625,
-0.0537109375,
-0.00390625,
-0.05078125,
0.05517578125,
-0.0167236328125,
0.0274658203125,
0.0172119140625,
-0.018798828125,
-0.0113525390625,
0.0191650390625,
-0.052001953125,
0.043701171875,
0.076171875,
-0.04052734375,
-0.02734375,
0.01171875,
... | 10,157 | 10157 | |
Logarithm equation
September 19th 2010, 04:44 AM #1
Junior Member
Joined
Apr 2010
Posts
42
Logarithm equation
Solve $\log_{5}(x + 1) + 3\log_{2} 0.5 = \log_{25} (2x)^2$
So these are the steps I have done thus far:
$\log_{5} (x + 1) + \log_{2} \frac{1}{8} = \frac{\log_{5} (2x)^2}{\log_{5} 25}$
... | 4 | [
-0.056640625,
-0.02392578125,
0.1396484375,
-0.00830078125,
0.0216064453125,
-0.05859375,
-0.0247802734375,
-0.0091552734375,
0.01239013671875,
0.0634765625,
0.00323486328125,
-0.052490234375,
-0.00830078125,
-0.005828857421875,
-0.0306396484375,
0.0771484375,
-0.10205078125,
0.060... | 10,158 | 10158 | |
Math Help
Ace high hands $\dbinom{4}{1}*\dbinom{12}{4}*\left[\dbinom{4}{1}\right]^4=506880$ Is this correct because someone else said the answer is 502,860.
Hello, dwsmith! Your answer is off . . . and Someone Else's answer is off, too. Ace high hands $\displaystyle \binom{4}{1}\cdot\binom{12}{4}\cdot\left[\binom{4}{... | 4 | [
0.08056640625,
0.049560546875,
-0.05712890625,
-0.050537109375,
-0.12158203125,
0.0546875,
0.10107421875,
-0.019775390625,
0.002777099609375,
0.04248046875,
0.002899169921875,
0.029541015625,
0.0152587890625,
-0.0113525390625,
-0.0103759765625,
0.10302734375,
-0.044677734375,
-0.04... | 10,159 | 10159 | |
Equivalence relation
December 13th 2011, 03:20 PM #1
Junior Member
Joined
Oct 2011
Posts
38
Thanks
1
Equivalence relation
Prove equivalence realtion and list the equivalence classes
Define xRy if x=y (mod4) if x=y (mod 4) then 4/x-y
Reflexive: Suppose x in R, then x-x=0, which is divisible ... | 4 | [
0.01556396484375,
0.00860595703125,
-0.0400390625,
-0.042724609375,
-0.043701171875,
-0.04443359375,
0.053466796875,
-0.003753662109375,
-0.06982421875,
-0.043212890625,
0.03173828125,
-0.0084228515625,
0.04443359375,
0.0751953125,
-0.0108642578125,
0.05224609375,
0.07275390625,
-0... | 10,160 | 10160 | |
Geometric Motion SDE
December 8th 2007, 07:51 AM #1
theonm
Guest
From Geometric Brownian motion: - Wikipedia, the free encyclopedia
If
And this can be proved using Ito's lemma, but the following gives a different solution.
From:
divide throughout by S_t:
dS_t/S_t = mu dt + sigma dW_t
d... | 4 | [
-0.06982421875,
-0.10205078125,
0.0751953125,
-0.032958984375,
0.0986328125,
-0.010498046875,
0.01287841796875,
0.0625,
-0.0047607421875,
0.05712890625,
0.0174560546875,
0.00921630859375,
0.046142578125,
-0.00506591796875,
-0.00531005859375,
0.052490234375,
-0.07080078125,
0.013732... | 10,161 | 10161 | |
Sizes of bases of vector spaces without the axiom of choice
up vote 13 down vote favorite
2
Assuming the axiom of choice does not hold we have that there is a vector space without a basis. The situation can be, in some sense, worse. It is consistent that there are vector spaces that have
two bases with completely diff... | 4 | [
0.006317138671875,
-0.0498046875,
-0.046875,
0.006011962890625,
0.0205078125,
0.037109375,
-0.01953125,
0.0291748046875,
0.040771484375,
-0.0220947265625,
-0.06884765625,
-0.0093994140625,
0.04052734375,
0.0439453125,
0.0091552734375,
-0.024658203125,
-0.06201171875,
0.058837890625... | 10,162 | 10162 | |
Double checking my work
April 25th 2008, 03:05 PM
Sammyj
Double checking my work
I want to make sure I'm on the right path so far
R(x) = (x^2 -4)/(x^2)
Domain: x not equal to -2, x not equal to + 2
Range: all real
Vertical Asymptote: x = -2, x = 2
Horizontal Asymptote: y=1
Zeros: none
... | 4 | [
-0.0693359375,
0.021484375,
-0.006744384765625,
0.0634765625,
0.035888671875,
-0.031982421875,
-0.10009765625,
0.0267333984375,
0.0250244140625,
-0.030517578125,
0.068359375,
-0.0230712890625,
0.041748046875,
0.0267333984375,
0.0115966796875,
0.11181640625,
-0.021728515625,
-0.0512... | 10,163 | 10163 | |
AlephNeil comments on Beauty quips, "I'd shut up and multiply!" - Less Wrong
Less Wrong is a community blog devoted to refining the art of human rationality. Please visit our About page for more information.
Comments (332)
You are viewing a single comment's thread.
Variation Alpha:
10 people. If heads, one of the... | 5 | [
0.00872802734375,
-0.0361328125,
0.0703125,
0.01080322265625,
0.0167236328125,
0.00885009765625,
0.142578125,
0.00433349609375,
0.0908203125,
-0.021240234375,
0.054931640625,
0.01068115234375,
-0.055908203125,
-0.035400390625,
0.00482177734375,
-0.009033203125,
0.05859375,
-0.02087... | 10,164 | 10164 | |
autonomous equation
June 3rd 2008, 10:29 AM
jschlarb
autonomous equation
I have the following equation:
$dN/dt = 6- {1/3}N(t), N(0) = 2$
My question is how I should treat N(t). The question is also looking for the equilibrium points. Here's what I did when I treated N(t) as a variable:
$6-1/3N(t)=... | 4 | [
-0.11865234375,
-0.03759765625,
-0.004150390625,
0.0103759765625,
-0.048828125,
0.06494140625,
-0.00909423828125,
0.08203125,
0.053466796875,
-0.00103759765625,
0.05419921875,
-0.072265625,
-0.024658203125,
-0.045654296875,
-0.03125,
-0.047607421875,
-0.04296875,
-0.02099609375,
... | 10,165 | 10165 | |
Please help with equation involving inverse trigonometric functions
November 14th 2012, 02:49 PM #1
Junior Member
Joined
Nov 2012
From
Tennessee
Posts
27
Please help with equation involving inverse trigonometric functions
Solve for x:
arccos x +2arcsin(√3/2)= π/3
I keep getting 1/2 for my an... | 4 | [
-0.10009765625,
-0.035400390625,
0.03076171875,
0.04638671875,
-0.023681640625,
-0.06884765625,
-0.01409912109375,
-0.00665283203125,
0.072265625,
-0.00482177734375,
0.0296630859375,
-0.06103515625,
0.048828125,
-0.01031494140625,
0.017333984375,
-0.01806640625,
-0.0014801025390625,
... | 10,166 | 10166 | |
Different Indicator
March 16th 2009, 10:24 AM #1
Member
Joined
Oct 2008
Posts
156
Different Indicator
Define $f: [0,1] \to [0,1]$ by $f(x) = \begin{cases} 0 \ \ \ \ \text{if} \ x \ \ \text{is irrational} \\ \frac{1}{q} \ \ \ \ \text{if} \ x \ \text{is rational} \ \text{and} \ x = \frac{p}{q} \ \
text... | 5 | [
-0.03173828125,
-0.0458984375,
-0.000015735626220703125,
0.00494384765625,
0.00909423828125,
0.056884765625,
0.07421875,
-0.0152587890625,
0.0299072265625,
-0.06884765625,
-0.04345703125,
-0.057373046875,
0.050537109375,
0.1103515625,
-0.035400390625,
-0.0478515625,
0.002532958984375... | 10,167 | 10167 | |
H and K normal subgroups, intersection of H and K=<e>
December 2nd 2010, 08:13 AM
kathrynmath
H and K normal subgroups, intersection of H and K=<e>
Let H and K be normal subgroups of G such that H intersect K=<e>. Show that hk=kh for all h in H and k in K.
H and K are normal so ghg^-1 is in H and gkg^-1 is i... | 5 | [
0.02880859375,
0.11181640625,
0.07177734375,
0.03759765625,
-0.045166015625,
-0.04150390625,
0.044921875,
-0.058349609375,
-0.07666015625,
-0.056396484375,
0.07470703125,
-0.09814453125,
0.0194091796875,
-0.078125,
-0.06787109375,
0.0322265625,
-0.0238037109375,
0.00970458984375,
... | 10,168 | 10168 | |
construct random variable with a fixed level of Spearman Coefficient to another
up vote 2 down vote favorite
1
In my quest to understand all things Spearman, consider the following problem:
Given random variable $x$ with known variance, $\sigma^2$, and $p \in [-1,1]$, one can construct a random variable $y$ such that... | 5 | [
-0.015625,
-0.0732421875,
0.03857421875,
0.05419921875,
-0.025390625,
-0.02392578125,
-0.0147705078125,
-0.00830078125,
-0.033447265625,
0.039306640625,
0.0059814453125,
0.0859375,
0.056396484375,
0.0732421875,
0.004669189453125,
-0.0045166015625,
0.004241943359375,
0.06591796875,
... | 10,169 | 10169 | |
Tricky (ln) problem
September 23rd 2011, 12:23 PM #1
Newbie
Joined
Sep 2011
Posts
7
Tricky (ln) problem
I was assigned the following:
The only solution of the equation ln(x) + ln(x-2) =1 is x = ?
I am unsure how to solve for x.
Re: Tricky (ln) problem
Use the fact that $\ln(a)+\ln(b)=\ln(... | 4 | [
-0.00872802734375,
-0.05078125,
0.08642578125,
0.005096435546875,
-0.01171875,
-0.0020904541015625,
0.0123291015625,
0.0196533203125,
0.04248046875,
0.0126953125,
0.08935546875,
-0.06494140625,
-0.01409912109375,
0.04541015625,
0.000812530517578125,
0.0693359375,
-0.07568359375,
-0... | 10,170 | 10170 | |
Creating an icosphere mesh in code
When you look at 3d modeling software like
Blender
, you will notice that there are usually two different sphere meshes available to choose from: UVSphere and IcoSphere.
The UVSphere looks like a globe. For many purposes it is perfectly fine, but for some use cases, e.g. if you wan... | 4 | [
-0.017578125,
0.029541015625,
-0.0181884765625,
-0.05859375,
-0.04052734375,
-0.0966796875,
0.050537109375,
0.06494140625,
-0.000896453857421875,
0.11279296875,
-0.10107421875,
-0.07177734375,
0.05126953125,
0.0361328125,
0.03662109375,
-0.029541015625,
-0.005462646484375,
-0.01361... | 10,171 | 10171 | |
Direct Sum of Dimensions
October 1st 2009, 10:47 AM #1
Member
Joined
Sep 2008
Posts
81
Direct Sum of Dimensions
I have a question here on direct sums which states:
Let U and V be subspaces of R5 such that U + V = R5, dimU = 2, and dimV = 3. Show that R5 = U is a direct sum of V.
This is how I a... | 4 | [
-0.007049560546875,
-0.0128173828125,
0.07080078125,
0.036376953125,
0.072265625,
0.01806640625,
0.0301513671875,
-0.10302734375,
-0.08056640625,
-0.0267333984375,
-0.0228271484375,
-0.057373046875,
-0.045166015625,
0.046142578125,
-0.0478515625,
-0.052001953125,
-0.049072265625,
-... | 10,172 | 10172 | |
Miscellaneous
June 28th 2014, 06:41 AM #1
Member
Joined
Apr 2013
From
Mahinog
Posts
81
Thanks
5
Miscellaneous
Show that 1/3 ≤ (x^2-2x+4)/(x^2+2x+4) ≤ 3 for all real values of x.
1/3 ≤ (x^2-2x+4)/(x^2+2x+4) ≤ 3
let y=(x^2-2x+4)/(x^2+2x+4)
yx^2+2yx+4y=x^2-2x+4
(y-1)x^2+(2y+2)x+4y-4... | 5 | [
-0.0615234375,
0.0322265625,
-0.0142822265625,
0.0272216796875,
0.0037078857421875,
0.0556640625,
-0.0037994384765625,
0.036865234375,
0.06884765625,
-0.08544921875,
-0.0152587890625,
-0.055908203125,
0.0634765625,
0.059814453125,
-0.021484375,
0.0546875,
0.038818359375,
-0.0678710... | 10,173 | 10173 | |
Why my fluids don't flow
Why my fluids don’t flow
December 14, 2010
I have an unopened copy of Digital Color Management sitting on my desk. It’s staring at me accusingly.
In order to keep myself distracted from its dirty looks, I’ve been tinkering around with fluid simulation. Miles Macklin has done some great work ... | 4 | [
-0.04833984375,
-0.1240234375,
0.09326171875,
-0.00909423828125,
0.0238037109375,
-0.076171875,
-0.05419921875,
-0.0081787109375,
0.016357421875,
-0.042236328125,
-0.09716796875,
-0.03857421875,
-0.00897216796875,
0.01239013671875,
-0.013916015625,
0.00726318359375,
-0.09033203125,
... | 10,174 | 10174 | |
Propositional Logic: Translating
Propositional Logic: Translating "You cannot ride the roller coaster if ... unless ..."
Date: 08/06/2009 at 14:51:05
From: Ágost
Subject: Propositional logic -- translating an English sentence
Hi. I have a question regarding an example I read in a math textbook
on translating English... | 4 | [
0.068359375,
0.140625,
0.045654296875,
-0.0045166015625,
-0.01239013671875,
0.11962890625,
0.051513671875,
0.0546875,
0.016845703125,
-0.0146484375,
0.0400390625,
-0.0294189453125,
0.080078125,
0.150390625,
0.020263671875,
0.072265625,
0.04443359375,
0.044189453125,
-0.080078125,... | 10,175 | 10175 | |
Math Help
June 14th 2012, 06:11 AM #1
Newbie
Joined
Jun 2012
From
us
Posts
2
problems
Can anyone please help me with these problems?
1. S((cosx(^3))sinx dx
2. S(x+1)sin((x^2)+2x dx
3. S(x^2)cos(x^3) dx
Can anyone explain me how I can apply the Gini index? Or use the Gini index wh... | 5 | [
-0.06396484375,
0.027099609375,
0.0179443359375,
0.0595703125,
-0.0283203125,
0.058837890625,
0.0166015625,
-0.0283203125,
-0.0157470703125,
-0.056396484375,
0.043212890625,
-0.05126953125,
0.0234375,
-0.007568359375,
-0.033935546875,
-0.10009765625,
0.0106201171875,
0.06396484375,... | 10,176 | 10176 | |
How to find the orbit time of this satellite?
October 3rd 2009, 03:53 AM #1
Junior Member
Joined
May 2009
Posts
28
How to find the orbit time of this satellite?
A satellite is in a circular orbit H km above the earth surface.
In how many hours does the satellite complete one orbit?
The radius of... | 5 | [
0.050537109375,
0.060791015625,
0.01416015625,
0.01275634765625,
-0.015869140625,
-0.004180908203125,
-0.010498046875,
0.107421875,
-0.06982421875,
0.007354736328125,
-0.01312255859375,
-0.058837890625,
0.0257568359375,
-0.0693359375,
0.00360107421875,
0.0069580078125,
0.001243591308... | 10,177 | 10177 | |
Dealing with overflow in Java without using BigInteger
up vote 2 down vote favorite
1
Suppose I have a method to calculate combinations of r items from n items:
public static long combi(int n, int r) {
if ( r == n) return 1;
long numr = 1;
for(int i=n; i > (n-r); i--) {
numr *... | 5 | [
-0.01141357421875,
0.048095703125,
-0.05859375,
-0.07568359375,
-0.015625,
-0.054931640625,
-0.042724609375,
0.09716796875,
-0.0703125,
0.0537109375,
-0.09521484375,
0.0260009765625,
0.00787353515625,
0.0031890869140625,
0.00133514404296875,
-0.036376953125,
0.034423828125,
0.08837... | 10,178 | 10178 | |
A Function for Damped Simple Harmonic Motion
Date: 10/17/98 at 23:36:08
From: William Liao
Subject: Periodic and exponential function
Dr. Maths,
I have problem understanding the following problem in my textbook::
The end of a plastic ruler is vibrating in damped harmonic motion.
When it starts vibrating, the ampli... | 4 | [
-0.0390625,
0.08203125,
0.06787109375,
-0.016845703125,
-0.00787353515625,
0.02392578125,
-0.01116943359375,
0.061767578125,
0.045166015625,
0.0322265625,
0.1318359375,
-0.095703125,
-0.0291748046875,
-0.01153564453125,
0.03857421875,
0.08544921875,
-0.033935546875,
0.0121459960937... | 10,179 | 10179 | |
Eigen value determination
November 2nd 2009, 08:45 AM #1
Member
Joined
Oct 2007
Posts
159
Eigen value determination
I need to determine eigen values for the following matrix.
- 3 2 -1
2 2 -6
-1 -6 5
I get Det of A - lambda I =
I will use x instead of lambda
(-3 - x) (2 - x... | 4 | [
-0.028564453125,
-0.0703125,
-0.06396484375,
-0.059326171875,
0.0576171875,
-0.0439453125,
0.005584716796875,
-0.0162353515625,
-0.09814453125,
0.005889892578125,
0.06787109375,
-0.052001953125,
0.002410888671875,
-0.01361083984375,
0.0233154296875,
0.01397705078125,
-0.03125,
-0.0... | 10,180 | 10180 | |
Pro
We have seen that procedures are, in effect, abstractions that describe compound operations on numbers independent of the particular numbers. For example, when we
we are not talking about the cube of a particular number, but rather about a method for obtaining the cube of any number. Of course we could get along ... | 5 | [
-0.076171875,
0.0595703125,
-0.078125,
-0.006072998046875,
-0.10693359375,
-0.08642578125,
-0.0703125,
0.0264892578125,
0.06494140625,
-0.013671875,
-0.05908203125,
0.0004329681396484375,
0.0240478515625,
0.0654296875,
0.09423828125,
-0.021240234375,
-0.0126953125,
0.099609375,
-... | 10,181 | 10181 | |
Integration question relating to inverse trig functions.
January 4th 2011, 05:50 PM
Ant
Integration question relating to inverse trig functions.
Hi,
I've been doing some differentiation of inverse trig. In doing this I had to find the derivative of:
$<br /> arctan (3x/2)$
I found this to be: $6/(9... | 5 | [
0.0052490234375,
-0.03271484375,
0.04736328125,
-0.01092529296875,
0.0277099609375,
-0.004669189453125,
-0.056396484375,
0.06982421875,
-0.00028228759765625,
0.000942230224609375,
0.056640625,
-0.0634765625,
-0.04296875,
-0.0244140625,
0.003936767578125,
0.016357421875,
0.01586914062... | 10,182 | 10182 | |
Example of: K-regular graph with girth K, for a given K
up vote 1 down vote favorite
1
I've been reading some papers about (n,g)cages, but it doesn't seem trivial to me that there is, indeed, for example, a K-regular graph with girth K, for large Ks. So:
Can you give me an example of a K-regular graph (it may be a gr... | 4 | [
0.04296875,
0.07275390625,
-0.020751953125,
0.0272216796875,
-0.0040283203125,
-0.061279296875,
0.001007080078125,
-0.026123046875,
-0.03515625,
0.10107421875,
-0.0291748046875,
0.0279541015625,
0.037841796875,
0.052978515625,
0.01220703125,
-0.0015106201171875,
0.0062255859375,
0.... | 10,183 | 10183 | |
Statistics Translated: A Step-by-Step Guide to Analyzing and Interpreting Data
Home » Research Methods » Quantitative Methods
Statistics Translated A Step-by-Step Guide to Analyzing and Interpreting Data
Steven R. Terrell
Download an e-book copy now or request a print copy
Introduction: You Do Not Need to be a Stat... | 4 | [
-0.0283203125,
0.037109375,
0.003692626953125,
0.0517578125,
-0.0126953125,
0.01318359375,
0.056884765625,
0.07958984375,
-0.0103759765625,
0.10595703125,
-0.00103759765625,
-0.053466796875,
0.0380859375,
0.0306396484375,
0.00933837890625,
0.0010833740234375,
-0.01904296875,
0.0127... | 10,184 | 10184 | |
Need help to find an efficient algorithm for the following problem!
up vote 1 down vote favorite
1
Consider $x$ an n-dimensional vector with $x_i$ is integer in the range $[0 \dots k], k\in N$.
Given $A_{n\times n}$ is the covariance matrix of $x$.
$u$ is a given n-dimensional vector of real values with $0.0 \leq u_... | 4 | [
0.0284423828125,
0.038818359375,
-0.029296875,
-0.09716796875,
-0.031005859375,
-0.03662109375,
0.050048828125,
-0.11083984375,
-0.05126953125,
0.047119140625,
-0.0322265625,
0.004119873046875,
0.036865234375,
-0.0069580078125,
-0.040283203125,
0.04541015625,
0.07666015625,
0.01611... | 10,185 | 10185 | |
Smallest Number Puzzle
Date: 06/30/98 at 03:11:58
From: Dr. H. M. Behl
Subject: Find the smallest number...
Dear Dr. Math,
One problem:
Find the smallest number which when divided by 9,13,17, and 25 leaves
remainders 1,0,2, and 3 respectively.
Thank you.
Rohit Behl
Date: 06/30/98 at 08:09:41
From: Doctor Antho... | 5 | [
-0.0498046875,
0.12353515625,
-0.0052490234375,
-0.08056640625,
0.0267333984375,
0.042236328125,
0.0791015625,
0.08203125,
-0.0191650390625,
0.0002346038818359375,
-0.041015625,
-0.0517578125,
0.0211181640625,
0.08056640625,
-0.031005859375,
-0.054931640625,
-0.041015625,
0.0087890... | 10,186 | 10186 | |
Math Help
June 6th 2014, 05:35 AM #1
Newbie
Joined
Jun 2014
From
Florida
Posts
5
Variance
A company has a product liability lawsuit. It can settle out of court for 1.2 Million.
If it elects to go to court the jury has a 75% of finding the company liable.
If liable, the company will pay eithe... | 5 | [
0.11181640625,
0.038818359375,
0.0194091796875,
-0.05322265625,
-0.0341796875,
-0.012939453125,
0.060302734375,
0.08203125,
0.060546875,
0.109375,
0.05712890625,
0.02197265625,
0.01513671875,
-0.019775390625,
-0.0299072265625,
0.0615234375,
0.048828125,
0.03662109375,
-0.05078125... | 10,187 | 10187 | |
differential equation proving
March 27th 2008, 08:16 PM
chris_panda85
differential equation proving
Given a differential equation
y"= -(2g'/g)y' + [V-E-(g"/g)]y
V(x)= x^(2k) & g(x) = exp(-βx^2/2)
subtitute V(x) & g(x), found
y" = 2βxy' + [x^(2k) - (βx)^2 + β - E]y
the problem i encounter ... | 5 | [
-0.078125,
0.01318359375,
0.08984375,
0.05810546875,
0.04150390625,
0.01409912109375,
-0.040283203125,
0.0079345703125,
0.036865234375,
0.032958984375,
0.09375,
0.006988525390625,
-0.052734375,
-0.038330078125,
-0.01226806640625,
0.0556640625,
0.0223388671875,
0.0035247802734375,
... | 10,188 | 10188 | |
Math Forum Discussions - Re: The Charlwood Fifty
Date: Jun 6, 2013 1:33 PM
Author: Nasser Abbasi
Subject: Re: The Charlwood Fifty
On 6/6/2013 11:23 AM, clicliclic@freenet.de wrote:
>
>
> It would have been nice if Prof. Charlwood could have thrown light on
> problem #49 from his appendix: Did he really want his stude... | 5 | [
-0.033203125,
-0.021240234375,
0.031982421875,
0.0869140625,
-0.01318359375,
-0.08154296875,
-0.00787353515625,
-0.03759765625,
0.00167083740234375,
-0.0228271484375,
0.07470703125,
0.0732421875,
0.04150390625,
0.006988525390625,
-0.103515625,
-0.005279541015625,
0.004669189453125,
... | 10,189 | 10189 | |
intersection of compact sets
October 26th 2009, 08:57 PM
dori1123
intersection of compact sets
Let X be the cartesian product of $\mathbb{R}$ with the usual topology and a two point set with the indiscrete topology. Find two compact subspaces of X such that their intersection is not
compact.
Can I get s... | 5 | [
0.0164794921875,
-0.041259765625,
-0.0712890625,
0.0106201171875,
0.0277099609375,
0.005859375,
0.09423828125,
-0.01318359375,
-0.00156402587890625,
-0.009033203125,
-0.0208740234375,
0.0274658203125,
0.06640625,
-0.0218505859375,
-0.044677734375,
-0.0250244140625,
-0.07421875,
-0.... | 10,190 | 10190 | |
Proving a lim
I am trying to find the limit of this sequence: $s_n = \dfrac{sin (n)}{n}.$ Any help would be appreciated.
Thanks, that helps some, but I am still not sure about what to take as N.
$lim \frac{sin(n)}{n}$ Have: $\frac{sin(n)}{n} \leq \frac{1}{n}$ But $lim \frac{1}{n} = 0$ So: $lim \frac{sin(n)}{n} =0$
F... | 5 | [
-0.11279296875,
-0.064453125,
-0.103515625,
-0.019287109375,
0.0238037109375,
0.0615234375,
-0.03466796875,
-0.04248046875,
-0.021484375,
-0.01806640625,
0.0205078125,
-0.0002994537353515625,
-0.07666015625,
0.05029296875,
0.0390625,
0.0244140625,
0.0673828125,
-0.025146484375,
0... | 10,191 | 10191 | |
Find radius of circle..
March 18th 2007, 10:29 AM #1
Newbie
Joined
Mar 2007
Posts
7
Find radius of circle..
An isoceles trianagle with a base of 24 and legs of 15 is inscribed in a circle. Find the radius. (I need more than 1 method to get the solution
1) Let ABC be an isoseles triangle with vertex ... | 4 | [
-0.0849609375,
0.1044921875,
-0.04638671875,
-0.0576171875,
-0.006134033203125,
-0.0206298828125,
0.00921630859375,
0.091796875,
0.0634765625,
0.01031494140625,
0.07373046875,
-0.06787109375,
-0.0257568359375,
0.08056640625,
0.033203125,
-0.010498046875,
-0.014404296875,
0.05883789... | 10,192 | 10192 | |
Linear algebra proof
March 30th 2010, 03:53 AM
ulysses123
Linear algebra proof
Let A be a m * p matrix whose columns all add to the same total s; and B be a p * n matrix whose columns all add to the same total t: Using summation notation prove that the n columns of AB each
total st:
March 30th 2010, 04:21 A... | 4 | [
-0.0111083984375,
-0.05908203125,
-0.04931640625,
-0.04150390625,
-0.020751953125,
-0.00823974609375,
0.08544921875,
-0.049560546875,
-0.015869140625,
0.055419921875,
-0.06982421875,
0.0252685546875,
0.032470703125,
-0.0303955078125,
-0.055419921875,
0.1650390625,
0.034423828125,
0... | 10,193 | 10193 | |
Chi-Square Test
Chi-Square Test for Independence
This lesson explains how to conduct a chi-square test for independence. The test is applied when you have two categorical variables from a single population. It is used to determine whether there is
a significant association between the two variables.
For example, in ... | 5 | [
0.06298828125,
-0.068359375,
-0.04150390625,
0.016845703125,
0.01513671875,
0.04638671875,
0.0157470703125,
0.0086669921875,
-0.061767578125,
0.0576171875,
0.138671875,
0.00537109375,
0.03466796875,
-0.007049560546875,
0.0283203125,
-0.0286865234375,
0.000736236572265625,
-0.050537... | 10,194 | 10194 | |
Projectivity of one Tate algebra over another
up vote 0 down vote favorite
Let $\mathbf{Q}_p \langle X_1,\dots,X_n \rangle$ be the $n$-variable Tate algebra, i.e. the subalgebra of $\mathbf{Q}_p[[X_1,\dots ,X_n]]$ of power series which converge on the closed unit polydisk
in $\mathbf{C}_p^n$. Is $\mathbf{Q}_p \langle ... | 5 | [
-0.05859375,
-0.08642578125,
-0.030029296875,
-0.037353515625,
-0.00262451171875,
-0.0096435546875,
0.0289306640625,
-0.0299072265625,
0.029052734375,
-0.1123046875,
0.0019989013671875,
0.00970458984375,
-0.0341796875,
-0.004241943359375,
0.021240234375,
0.049072265625,
-0.0505371093... | 10,195 | 10195 | |
Sum of Geometric series........
Sum to n groups the following series $(x+y) + (x^2+xy+y^2) + {x^3+(x^2)*y+x(y^2)+y^3}$ Need help fast..............Thanks a lot in advance.
Sum to n groups the following series $(x+y) + (x^2+xy+y^2) + (x^3+(x^2)*y+x(y^2)+y^3)$ Need help fast..............Thanks a lot in advance.[/QUOTE]... | 5 | [
-0.039794921875,
-0.01470947265625,
-0.0162353515625,
0.025390625,
-0.09765625,
-0.00958251953125,
0.0115966796875,
-0.154296875,
0.0157470703125,
-0.06103515625,
-0.007659912109375,
-0.0140380859375,
-0.0198974609375,
0.0274658203125,
0.0400390625,
0.10546875,
-0.04345703125,
0.05... | 10,196 | 10196 | |
Big function problem
November 10th 2010, 08:51 AM #1
Big function problem
Hi everyone,
I have a kind of big function problem i have to do... But since i have headache, i've decided to ask some help here. Of course, i do not want the whole answer; just some hints or clues so that
i'll be able to finish it... | 4 | [
0.036865234375,
-0.00142669677734375,
0.044189453125,
-0.00070953369140625,
0.00848388671875,
0.050537109375,
0.06982421875,
0.0732421875,
-0.0400390625,
0.000705718994140625,
0.026611328125,
0.01116943359375,
0.07373046875,
-0.0361328125,
0.04541015625,
0.053955078125,
0.033203125,
... | 10,197 | 10197 | |
A simple stopping time problem.
up vote 6 down vote favorite
2
This should be rather standard so I hope somebody with a good background in probability theory would give me a quick solution or a reference.
We are given a threshold positive integer $T>0$. Let $a_1=1$ and for all $k$ with probability one half set $a_k=3... | 5 | [
-0.1171875,
-0.0224609375,
0.0703125,
0.040283203125,
0.056884765625,
-0.0341796875,
0.083984375,
0.0169677734375,
0.0771484375,
0.05322265625,
-0.07470703125,
-0.002655029296875,
-0.01953125,
-0.0120849609375,
-0.08984375,
0.02294921875,
0.107421875,
-0.007598876953125,
0.064453... | 10,198 | 10198 | |
Homework Help
Posted by Hanna on Monday, February 27, 2012 at 9:35pm.
To the nearest degree, what is the measure of the smallest angle of a right triangle whose legs measure 9 and 15?
• Geometry - MathMate, Monday, February 27, 2012 at 10:13pm
There are two acute angles in a right triangle. The tangents of the... | 4 | [
-0.051025390625,
0.103515625,
-0.01373291015625,
-0.00274658203125,
0.03564453125,
0.0205078125,
0.00323486328125,
0.1162109375,
-0.0234375,
0.0123291015625,
0.052734375,
-0.07568359375,
-0.026611328125,
0.0693359375,
0.055419921875,
-0.0277099609375,
-0.0341796875,
0.02197265625,
... | 10,199 | 10199 |