content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Reconstructing Principal Component Analysis Matrix
Edit: I’ve updated afterPCA function to work with input of any dimensions. Previously it only generated correct output for square matrices.
PCA is widely used method for finding patterns in high-dimensional data. Whether you use it to compress large matrix or to remo... | 4 | [
-0.0244140625,
-0.0302734375,
-0.042724609375,
-0.0576171875,
-0.01312255859375,
-0.005096435546875,
-0.0927734375,
-0.05517578125,
-0.0478515625,
0.044189453125,
0.014892578125,
-0.0014495849609375,
-0.07861328125,
0.026611328125,
-0.043212890625,
-0.033447265625,
0.0167236328125,
... | 41,000 | 41000 | |
free cartesian category
Contents
In this article, we explore cartesian monoidal categories as a doctrine on Cat, by analyzing the structure of free cartesian categories.
It is convenient to discuss the case of categories with arbitrary small products (or arbitrary small coproducts) first, because there we get some ve... | 4 | [
-0.023193359375,
-0.0211181640625,
-0.000919342041015625,
-0.0177001953125,
0.0213623046875,
0.052978515625,
0.02783203125,
0.05029296875,
0.046142578125,
0.06884765625,
0.036376953125,
-0.07177734375,
-0.0107421875,
-0.006591796875,
0.06298828125,
-0.0000743865966796875,
0.077636718... | 41,001 | 41001 | |
The Pinching Theorem; Trig Limits
January 24th 2010, 07:26 AM #1
Newbie
Joined
Aug 2009
Posts
19
The Pinching Theorem; Trig Limits
Can anyone help me evaluate this limit?
$\lim_{x\to 0} \frac{x^2}{1-\cos2x}$
I can see that the numerator approaches 0 faster and that you can say that this is equa... | 5 | [
-0.038330078125,
-0.00927734375,
-0.0269775390625,
0.010986328125,
0.04052734375,
0.01239013671875,
-0.023193359375,
0.0341796875,
0.049072265625,
-0.00067138671875,
0.06396484375,
-0.0228271484375,
-0.0206298828125,
0.061279296875,
0.029296875,
-0.009521484375,
0.05908203125,
-0.0... | 41,002 | 41002 | |
Newton
Isaac Newton
(1643 – 1727)
Defining his
3 Laws
Newton at age 46
Scalar vs. Vector
• Speed is scalar – (how fast something
is going)
• Velocity is a vector so its direction
matters! – (speed and direction)
• Acceleration is also a vec... | 5 | [
0.0032806396484375,
0.007171630859375,
-0.08154296875,
-0.044189453125,
-0.026611328125,
0.0289306640625,
-0.11865234375,
0.0004119873046875,
-0.0294189453125,
0.038330078125,
0.068359375,
0.00640869140625,
0.06982421875,
-0.0216064453125,
-0.068359375,
-0.00408935546875,
-0.01239013... | 41,003 | 41003 | |
Finding the Center of a Circle
Date: 5/29/96 at 15:3:49
From: Anonymous
Subject: Circle centers
How do you find the center of a circle, knowing nothing about it
except its physical shape? Please help!
Date: 5/29/96 at 16:0:43
From: Doctor Pete
Subject: Re: Circle centers
If you have a straight edge (unmarked rule... | 4 | [
-0.043701171875,
0.0157470703125,
-0.036376953125,
-0.013427734375,
0.042724609375,
-0.06494140625,
0.005401611328125,
0.0869140625,
0.056884765625,
-0.0203857421875,
0.0299072265625,
-0.0257568359375,
0.00112152099609375,
0.026123046875,
0.0022735595703125,
0.048583984375,
-0.109375... | 41,004 | 41004 | |
Counting - Discrete math
November 17th 2008, 10:14 AM #1
Junior Member
Joined
Nov 2008
Posts
26
Counting - Discrete math
7 woman and 9 man are on the faculty in the math department in the school.
(1) How many ways are there to select a committee of five members of the department if at least one woma... | 4 | [
0.027099609375,
-0.010986328125,
0.1015625,
0.017333984375,
-0.0194091796875,
0.0830078125,
0.0927734375,
-0.040283203125,
-0.0576171875,
0.0703125,
-0.021728515625,
-0.09033203125,
-0.01220703125,
-0.00897216796875,
-0.044677734375,
0.037109375,
-0.01324462890625,
-0.07568359375,
... | 41,005 | 41005 | |
trigonometric identity
May 19th 2008, 07:05 PM #1
Newbie
Joined
May 2008
Posts
7
trigonometric identity
Been 20 years since I've identified trig identities. We are stuck on a particular type and would appreciate some explanation. 1/sin(-x) * (1-cos^2x) that's cos(squared x) and 1+1/cos(-x) /
-sinx-ta... | 4 | [
-0.107421875,
0.05078125,
0.0322265625,
0.12890625,
-0.013916015625,
0.035888671875,
0.03515625,
-0.06201171875,
0.04541015625,
-0.0017852783203125,
0.043701171875,
-0.04736328125,
0.03076171875,
0.02734375,
0.0033416748046875,
-0.01129150390625,
0.09033203125,
-0.0263671875,
-0.... | 41,006 | 41006 | |
SW
Arithmetic Sequence-a sequence in which a constant d has been added to each term to get the next term. - with general formula an = a1 + (n-1) d d – common difference d = term – previous term I. To find the d, given the terms 2, 6, 10, 14, … * use the formula for d 6-2 or 10-6 ... | 4 | [
-0.1044921875,
0.01324462890625,
0.068359375,
-0.150390625,
-0.056640625,
0.041259765625,
-0.047119140625,
0.038818359375,
0.0172119140625,
0.04833984375,
0.053466796875,
-0.027099609375,
-0.057861328125,
-0.0023651123046875,
-0.01904296875,
0.0076904296875,
-0.046875,
0.0194091796... | 41,007 | 41007 | |
Superluminal neutrinos from noncommutative geometry
In two previous blog entries, I discussed possible mistakes in the Opera experiment and theoretical reasons why they probably exist.
But it seems pretty likely to me that a Fermilab experiment will confirm the Opera result – either because there is new physics or, m... | 4 | [
-0.0927734375,
-0.04150390625,
0.020263671875,
0.058349609375,
-0.064453125,
-0.0830078125,
-0.091796875,
0.039794921875,
-0.0019683837890625,
-0.09130859375,
-0.0031890869140625,
0.0211181640625,
-0.126953125,
0.00122833251953125,
0.002532958984375,
-0.0771484375,
0.169921875,
0.0... | 41,008 | 41008 | |
Integration by partial fractions
March 23rd 2010, 04:42 AM #1
Newbie
Joined
Jan 2010
Posts
13
Integration by partial fractions
Hi all!
I am working on this Integration by partial fraction question and I used the -b formula to factor the bottom line but I'm not sure where to go from here. I would real... | 5 | [
-0.00811767578125,
0.040771484375,
0.087890625,
0.056884765625,
0.022705078125,
0.0023193359375,
-0.03857421875,
0.00360107421875,
-0.068359375,
-0.01336669921875,
-0.039794921875,
-0.07080078125,
-0.01287841796875,
0.0478515625,
-0.064453125,
0.0146484375,
0.0654296875,
-0.0422363... | 41,009 | 41009 | |
Counting, permutations and/or combinations
March 26th 2008, 08:30 PM #1
Newbie
Joined
Mar 2008
Posts
20
Counting, permutations and/or combinations
How many ways can 8 people, 4 men and 4 women, be seated at a round table if people sitting opposite each other must be the opposite gender?
Answer: 1152... | 4 | [
0.05078125,
-0.03564453125,
0.0157470703125,
0.0072021484375,
-0.06005859375,
0.0186767578125,
0.0123291015625,
0.005126953125,
-0.03125,
0.03125,
-0.07861328125,
0.0252685546875,
0.018798828125,
-0.05029296875,
-0.036376953125,
0.0002994537353515625,
0.00970458984375,
0.0172119140... | 41,010 | 41010 | |
Subgroups of a group generated by a free semigroup
up vote 5 down vote favorite
2
Let $F$ be a free semigroup (say, $2$-generated) which is embedded in a group $G$, and suppose that $G$ (as a group) is generated by $F$. The most simple such situation would be when $G$ is a free
group, but there are lot of groups, besi... | 4 | [
-0.1220703125,
-0.00836181640625,
-0.0498046875,
0.09228515625,
0.01458740234375,
-0.038330078125,
0.047119140625,
-0.099609375,
-0.0206298828125,
-0.017333984375,
0.09521484375,
-0.052734375,
0.080078125,
-0.058349609375,
0.0927734375,
0.00909423828125,
-0.072265625,
0.02270507812... | 41,011 | 41011 | |
Prime Number Formula XXII
$p_n=1+\displaystyle\sum_{k=1}^{2 \cdot (\lfloor n\ln(n) \rfloor+1)}\left(1-\left\lfloor \frac{1}{n} \cdot \displaystyle\sum_{j=2}^k \left\lceil \frac{3-\displaystyle\sum_{i=1}^j \left\lfloor \frac{\
left\lfloor \frac{j}{i} \right\rfloor}{\left\lceil \frac{j}{i} \right\rceil} \right\rfloor}{j... | 4 | [
-0.0771484375,
-0.000690460205078125,
0.0130615234375,
-0.0308837890625,
-0.00836181640625,
-0.0289306640625,
0.05810546875,
0.109375,
0.0157470703125,
0.0458984375,
-0.1298828125,
-0.01495361328125,
0.01904296875,
0.028564453125,
0.0035400390625,
-0.0341796875,
-0.0198974609375,
0... | 41,012 | 41012 | |
Relation on the set of connected components of the $\mathbb{C^*}$-fixed points locus coming from the Bialynicki-Birula decomposition
up vote 0 down vote favorite
1
Let $X$ be a smooth variety with an action of $\mathbb{C}^*.$ One has the so-called Bialynicki-Birula decomposition of $X$ given by stable manifolds: $$X=\... | 4 | [
-0.06982421875,
0.022216796875,
0.01007080078125,
0.04345703125,
-0.033935546875,
0.0201416015625,
0.068359375,
0.0284423828125,
0.0030975341796875,
-0.125,
0.0277099609375,
-0.01416015625,
-0.026611328125,
-0.045654296875,
-0.0250244140625,
-0.02978515625,
-0.00701904296875,
-0.02... | 41,013 | 41013 | |
third degree taylor polynomials
May 1st 2010, 04:08 AM
slapmaxwell1
third degree taylor polynomials
ok i did a couple of problems and i was wondering if someone could tell me if i did them right? the first one is on convergence and the second which was a little more involved asked me to find
the 3rd degree t... | 5 | [
-0.0751953125,
-0.171875,
0.014404296875,
0.037841796875,
-0.003509521484375,
0.0177001953125,
0.0128173828125,
-0.0098876953125,
-0.0031585693359375,
-0.0400390625,
0.03466796875,
-0.04833984375,
0.00970458984375,
0.0028533935546875,
-0.09326171875,
-0.01025390625,
-0.02880859375,
... | 41,014 | 41014 | |
Linear Transformations and Linear Independence
November 6th 2008, 03:54 PM #1
Newbie
Joined
Sep 2008
Posts
23
Linear Transformations and Linear Independence
Let L: V -> W be a linear transformation and let S = {v1, ... vn} be a set of vectors in V. Prove that if T = {L(v1), ... L(vn)} is linearly indepen... | 5 | [
-0.09326171875,
-0.06982421875,
0.021728515625,
0.03662109375,
0.06396484375,
0.1103515625,
0.046875,
-0.0947265625,
0.06787109375,
0.0252685546875,
0.035400390625,
0.033935546875,
0.035400390625,
0.0458984375,
-0.06396484375,
-0.0050048828125,
-0.044677734375,
-0.028564453125,
-... | 41,015 | 41015 | |
Does ZFC prove the universe is linearly orderable?
up vote 14 down vote favorite
3
It is consistent with ZFC that the universe is well-ordered, e.g. in $V=L$ where global choice holds. I also know that it is consistent that global choice fails (although I have no immediate example
from the top of my head).
However on... | 5 | [
-0.01251220703125,
-0.0947265625,
0.041748046875,
0.01312255859375,
0.0274658203125,
0.056396484375,
-0.1630859375,
0.0026397705078125,
0.032958984375,
0.06591796875,
-0.019775390625,
0.0380859375,
0.003509521484375,
0.052490234375,
-0.02392578125,
-0.0634765625,
0.01434326171875,
... | 41,016 | 41016 | |
Log Question
February 28th 2008, 11:54 AM #1
Super Member
Joined
Oct 2007
From
London / Cambridge
Posts
591
Log Question
To nine decimal places, $\log_{10}{2} = 0.301029996$ and $\log_{10}{3} = 0.477121255$
i) Calculate $\log_{10}{5}$ and $\log_{10}{6}$ to three decimal places. By taking logs, o... | 5 | [
-0.0084228515625,
-0.01123046875,
-0.048583984375,
-0.076171875,
0.0181884765625,
-0.0654296875,
0.047119140625,
0.09765625,
-0.040283203125,
0.060302734375,
-0.051025390625,
0.016845703125,
0.0279541015625,
0.031005859375,
0.01422119140625,
0.045166015625,
-0.12158203125,
0.033203... | 41,017 | 41017 | |
HomeworkB 05 (5 Questions) Be Sure To Click On ... | Chegg.com
Need Help,, Simple Physics
HomeworkB 05
(5 questions)
Be sure to click on Store My Answers at the bottom of this page after you make any changes. The deadline for storing your answers is 0800 on 09/28/2010.
1) A muon, µ, can be regarded as an electron wit... | 4 | [
-0.048828125,
0.059326171875,
0.11083984375,
-0.0263671875,
0.036865234375,
-0.06591796875,
0.0791015625,
0.08935546875,
-0.048095703125,
-0.0098876953125,
0.028076171875,
-0.06982421875,
-0.01031494140625,
0.042724609375,
-0.000392913818359375,
0.08642578125,
-0.0260009765625,
-0.... | 41,018 | 41018 | |
The smallest positive eigenvalue and the length of the shortest geodesic
up vote 2 down vote favorite
1
I'm confused about some things concerning lengths of geodesics on Riemann surfaces and positive eigenvalues of the Laplacian. Moreover, I'm also interested in the relation between these two.
Let $X$ be a compact (c... | 4 | [
-0.013916015625,
0.033203125,
0.03759765625,
-0.083984375,
0.004791259765625,
-0.00154876708984375,
-0.00115203857421875,
0.04736328125,
0.008056640625,
-0.1171875,
0.055419921875,
-0.07568359375,
0.02001953125,
-0.07568359375,
0.0111083984375,
-0.03857421875,
-0.01422119140625,
-0... | 41,019 | 41019 | |
Abstract Algebra - Normal groups
February 2nd 2010, 11:04 AM #1
Member
Joined
Dec 2009
Posts
171
Abstract Algebra - Normal groups
I'll be delighted to receive some guidance in the following questions:
1. Let G1,G2 be simple groups. Prove that every normal non-trivial subgroup of G= G1 x G2 is isomor... | 5 | [
-0.049560546875,
0.0240478515625,
0.109375,
0.060791015625,
0.01007080078125,
0.00872802734375,
0.0595703125,
0.00077056884765625,
-0.040771484375,
-0.053466796875,
0.042724609375,
0.003387451171875,
-0.025146484375,
0.021484375,
-0.005584716796875,
-0.0087890625,
-0.03857421875,
-... | 41,020 | 41020 | |
Arranging Letters
Date: 11/08/98 at 17:53:06
From: mike
Subject: Discrete math
1) In how many ways can the letters in MISSISSIPPI be arranged?
Suppose the 2 P's must be separated?
2) In how many ways can the 26 letters in the alphabet be arranged so
that the letter b is always to the immediate left of the let... | 4 | [
0.055908203125,
-0.0218505859375,
0.034912109375,
0.0184326171875,
-0.10205078125,
0.0869140625,
0.02099609375,
-0.0096435546875,
-0.037353515625,
0.087890625,
0.0179443359375,
-0.00421142578125,
0.0022430419921875,
-0.002197265625,
-0.07666015625,
0.0164794921875,
-0.050048828125,
... | 41,021 | 41021 | |
Intermediate algebra - "Solve each systems"
January 23rd 2010, 09:26 PM
Justiceapple
Intermediate algebra - "Solve each systems"
Hi, I've been trying to solve this for over an hour now by extending the method of elimination like the textbook says. Very frustrated. (Headbang)
Please help. (Crying)
Solve ... | 4 | [
-0.08642578125,
0.01129150390625,
0.0206298828125,
0.03857421875,
0.06005859375,
-0.043212890625,
-0.0120849609375,
-0.0069580078125,
-0.08447265625,
0.01708984375,
-0.006134033203125,
0.03564453125,
0.0703125,
-0.0245361328125,
-0.0234375,
0.06005859375,
-0.14453125,
-0.0327148437... | 41,022 | 41022 | |
Linear Transformation Composition Proof
July 7th 2012, 12:22 PM #1
Newbie
Joined
Jul 2012
From
San Francisco
Posts
7
Linear Transformation Composition Proof
I need help with this linear algebra proof.
Show that the composition of a linear transformation is also a linear transformation. Let T: R^... | 4 | [
-0.0120849609375,
0.015869140625,
-0.0074462890625,
-0.000827789306640625,
0.041748046875,
0.0634765625,
-0.00677490234375,
-0.09228515625,
0.0011138916015625,
0.031982421875,
-0.0361328125,
0.048095703125,
0.016845703125,
0.0625,
0.0274658203125,
-0.01611328125,
0.0123291015625,
0... | 41,023 | 41023 | |
lesson plan algebra 21 11
Standards-Based Weekly Lesson Plan for Course/Content Area
Instructor: PJ Williams Content Area: Algebra 1 Periods 1,3,4,6 Room: 241 Week: 21 Dates: 1/31-2/4, 2011
TEST Friday 5.1,5.3,5.4,5.6 5.4 P 283 4-9, ... | 4 | [
-0.06396484375,
0.0146484375,
0.09716796875,
0.017578125,
-0.0233154296875,
0.04638671875,
-0.09423828125,
0.0361328125,
-0.0830078125,
0.047119140625,
0.019287109375,
-0.0196533203125,
0.000270843505859375,
-0.002105712890625,
-0.00714111328125,
0.01470947265625,
-0.061279296875,
... | 41,024 | 41024 | |
Quadratic Equation Part 3
October 27th 2009, 03:05 AM
cloud5
Quadratic Equation Part 3
1. Express $\ln(2\sqrt e)-\frac{1}{3}\ln(\frac{8}{e})-\ln(\frac{e}{3})$ in the form c+ln d, where c and d are rational numbers.
2. Given $p(x)=x^4+2x^3+ax^2+bx-60$ has factor x+2 and when p(x) is divided by x+3, the remai... | 4 | [
-0.06494140625,
0.0008544921875,
0.041015625,
0.0184326171875,
-0.01397705078125,
0.08837890625,
0.048095703125,
0.0211181640625,
0.06689453125,
0.0103759765625,
0.115234375,
-0.07470703125,
0.035400390625,
0.04443359375,
0.0031890869140625,
-0.000396728515625,
-0.0859375,
-0.07617... | 41,025 | 41025 | |
Find present equivalent value PW and FW in the cash flow
September 17th 2012, 02:38 PM
jwxie
Find present equivalent value PW and FW in the cash flow
Hi.
http://i.imgur.com/j8EU6.png
This is the problem.
I tried to find the FW first. I see the problem as "I deposite an initial money PW, and on the... | 4 | [
0.01507568359375,
0.09814453125,
-0.0294189453125,
0.0291748046875,
-0.00150299072265625,
-0.06298828125,
0.019775390625,
0.0296630859375,
0.0546875,
0.109375,
-0.0014190673828125,
-0.04638671875,
-0.0179443359375,
0.046630859375,
-0.0184326171875,
0.0380859375,
-0.1337890625,
-0.0... | 41,026 | 41026 | |
Field extension
May 7th 2009, 06:31 PM
namelessguy
Field extension
I am having trouble with this problem. It would be great if someone can help.
I want to prove that $Q(\zeta)=Q(\delta)$ where $Q(\zeta)$ is the cyclotomic field of 5th roots of unity, and $\delta=\frac{i}{2}\sqrt{10+2\sqrt{5}}$
May 8th 2009,... | 5 | [
-0.00072479248046875,
0.044677734375,
0.0927734375,
0.0233154296875,
0.02978515625,
0.00762939453125,
0.0400390625,
0.059326171875,
-0.031494140625,
-0.0986328125,
0.0250244140625,
0.0047607421875,
-0.0126953125,
0.0283203125,
-0.0245361328125,
0.03271484375,
-0.006439208984375,
0.... | 41,027 | 41027 | |
Formal Definition of a Limit
Date: 08/01/98 at 04:51:29
From: Michael Sabroski
Subject: Formal Definition of a Limit
The formal definition of the limit states:
Let f be a function that is defined on an open interval
containing c, except possibly at c itself, and let L be
a real number. The statement:
... | 4 | [
-0.0712890625,
0.013671875,
0.012939453125,
-0.00836181640625,
0.0634765625,
0.06396484375,
-0.0225830078125,
0.030517578125,
0.0213623046875,
-0.07080078125,
0.1142578125,
-0.05126953125,
0.040771484375,
0.006866455078125,
0.050537109375,
-0.0244140625,
-0.038818359375,
-0.0981445... | 41,028 | 41028 | |
Tails of sums of Weibull random variables
up vote 4 down vote favorite
Suppose that $X_1, X_2, \ldots, X_n$ are i.i.d random variables distributed according to Weibull distribution with shape $0 < \epsilon < 1$ (it means that $\mathbf{Pr}[X_i \geq t] = e^{-\Theta(t^{\
epsilon})}$).
Now consider the random variable $S... | 5 | [
-0.051025390625,
-0.08544921875,
-0.0230712890625,
-0.0074462890625,
0.076171875,
0.011962890625,
0.047607421875,
0.0341796875,
0.08056640625,
-0.10546875,
0.0026702880859375,
0.07373046875,
0.051513671875,
-0.1103515625,
0.004913330078125,
-0.04638671875,
0.05810546875,
-0.0037841... | 41,029 | 41029 | |
Mike Love's blog
I put together a short list of potential R gotchas: unexpected results which might trip up new R users.
For example, if we have a matrix m,
m[1:2,]
returns a matrix, while
m[1,]
returns a vector, unless one writes
m[1,,drop=FALSE]
Setting aside what the default behavior of functions should be, m... | 4 | [
-0.0198974609375,
-0.05029296875,
0.0247802734375,
0.07470703125,
0.07470703125,
0.025634765625,
-0.0361328125,
0.03955078125,
0.05029296875,
0.08154296875,
-0.0157470703125,
0.1162109375,
0.055419921875,
-0.0216064453125,
-0.02099609375,
0.010498046875,
0.0262451171875,
0.04003906... | 41,030 | 41030 | |
center of mass of a rod
April 27th 2007, 11:51 AM
^_^Engineer_Adam^_^
center of mass of a rod
Find the total mass of the given rod and the center of mass:
The length of a rod is 12cm and the measure of the linear density at a point is a linear function of the measure of the distance from the left end of the... | 5 | [
-0.0184326171875,
-0.0022430419921875,
0.007110595703125,
-0.026611328125,
-0.03857421875,
0.00439453125,
0.0419921875,
0.052734375,
-0.06884765625,
0.07958984375,
0.08203125,
-0.01544189453125,
-0.03857421875,
0.018798828125,
-0.06591796875,
0.02294921875,
-0.04345703125,
0.056884... | 41,031 | 41031 | |
7 to the 1997th power
Date: 09/22/97 at 19:50:19
From: Anonymous
Subject: 7 to the 1997th power
How would you find what the 1997th power of 7 is? It is too long to
put into a calculator. My eighth grade son got an assignment to
figure out how to solve this equation.
Date: 09/23/97 at 04:26:26
From: Doctor Pete
S... | 4 | [
-0.03125,
0.07080078125,
-0.032470703125,
0.06640625,
-0.020263671875,
-0.05908203125,
-0.00034332275390625,
0.054443359375,
-0.02978515625,
0.09619140625,
-0.06298828125,
-0.03515625,
0.00787353515625,
0.06787109375,
-0.01129150390625,
0.007568359375,
-0.1015625,
-0.0244140625,
... | 41,032 | 41032 | |
Homework Help
Posted by sarah on Sunday, February 3, 2008 at 7:05pm.
how big must n be so that the absolute value of the error in using the trapezoid rule is less than .00001?
for the integral (square root of (1+x^4))
where a=0 and b=1
• calc - Damon, Sunday, February 3, 2008 at 9:28pm
Oh dear me, I would ha... | 5 | [
0.0245361328125,
0.050048828125,
0.032958984375,
-0.05517578125,
-0.017578125,
-0.07763671875,
0.003326416015625,
0.07568359375,
-0.055419921875,
-0.00506591796875,
-0.02294921875,
0.1005859375,
0.044677734375,
-0.099609375,
-0.099609375,
0.01300048828125,
0.01068115234375,
-0.0278... | 41,033 | 41033 | |
Irreducible Quadratic Factors (Partial Fractions)
February 22nd 2009, 10:06 PM #1
Junior Member
Joined
Jan 2009
Posts
25
Irreducible Quadratic Factors (Partial Fractions)
Hello, I've been reading the examples in my text over and over and I'm having trouble solving problems with irreducible quadratic fact... | 4 | [
-0.0152587890625,
0.0198974609375,
0.055908203125,
0.07958984375,
0.0296630859375,
0.08056640625,
-0.058349609375,
-0.01092529296875,
-0.012451171875,
-0.0498046875,
0.04248046875,
-0.126953125,
-0.004608154296875,
0.01214599609375,
-0.038818359375,
0.059326171875,
0.045166015625,
... | 41,034 | 41034 | |
Isometric embedding of 1-manifold
up vote -1 down vote favorite
Suppose the unit circle $\gamma$ in $R^2$ is not endowed with the canonical inner product of $R^2$. Let the riemannian metric defined be $g:=[2, 1;1, 1]$. So the length is measured with this metric
on the circle.
Q.1 Is there a way to construct the isomet... | 5 | [
-0.028076171875,
-0.08935546875,
0.0140380859375,
-0.0537109375,
-0.064453125,
-0.033935546875,
0.0264892578125,
-0.0172119140625,
0.018798828125,
-0.083984375,
-0.0028076171875,
0.051513671875,
0.00836181640625,
0.031005859375,
-0.025146484375,
-0.040283203125,
0.0234375,
0.121093... | 41,035 | 41035 | |
optimization problem please help!!!
May 29th 2008, 10:29 PM #1
Newbie
Joined
May 2008
Posts
15
optimization problem please help!!!
A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The materia... | 5 | [
-0.0029449462890625,
0.04931640625,
-0.06884765625,
-0.059326171875,
-0.018310546875,
-0.04931640625,
-0.04443359375,
0.0712890625,
-0.07177734375,
0.0096435546875,
-0.06982421875,
-0.032958984375,
0.0625,
0.034423828125,
0.01220703125,
-0.01348876953125,
0.039794921875,
0.02905273... | 41,036 | 41036 | |
Math Forum: Encouraging Mathematical Thinking: Middle School Lesson Plan
Objective:
Students will build a family of cylinders and discover the relation between the dimensions of the generating rectangle and the resulting pair of cylinders. They will then order the cylinders by their
volumes and draw a conclusion abou... | 4 | [
-0.050537109375,
0.047119140625,
-0.004119873046875,
-0.05810546875,
-0.07275390625,
-0.0810546875,
-0.07763671875,
0.11328125,
-0.0242919921875,
0.0012359619140625,
-0.044677734375,
-0.01513671875,
0.058349609375,
0.11083984375,
-0.0537109375,
-0.03271484375,
-0.0146484375,
0.0825... | 41,037 | 41037 | |
Math Forum Discussions
Re: Approximation to square roots
Posted: Jan 16, 2014 9:43 PM
On Thu, 16 Jan 2014, luirotorres@gmail.com wrote:
> "For each N,there exists a rational x / y such that the difference x / y -
> Sqr(N) is less than 1 / [2N^2.Sqr(N)]. x, y is a solution of Pell´s equation
> x^2 + N.y^2 = 1 ".
That... | 4 | [
-0.052978515625,
0.0031280517578125,
0.0015716552734375,
0.0810546875,
-0.0556640625,
-0.036376953125,
-0.032958984375,
0.053955078125,
0.06884765625,
-0.1171875,
-0.010498046875,
0.07080078125,
0.0303955078125,
0.0751953125,
-0.033203125,
0.0269775390625,
0.0211181640625,
-0.04858... | 41,038 | 41038 | |
Triple Century Post
July 8, 2011
Does continuous mathematics impact discrete complexity?
Godfrey Harold Hardy was an avid fan of cricket, besides being one of the 20th Century’s most influential mathematicians. During cricket season at Oxford and Cambridge, he would work on mathematics
in the morning, and then spen... | 4 | [
0.039794921875,
0.006439208984375,
-0.09033203125,
-0.12158203125,
0.00592041015625,
0.01043701171875,
-0.10107421875,
0.00007009506225585938,
0.045654296875,
0.11865234375,
-0.057373046875,
-0.0159912109375,
0.009765625,
0.09033203125,
0.10546875,
-0.021240234375,
-0.08056640625,
... | 41,039 | 41039 | |
Variation of a coin flip problem
September 16th 2008, 09:22 AM
weakmath
Variation of a coin flip problem
Question:
A, B, C take turns fliping a coin. Calculate the probability that A wins, B wins, C wins; the first to flip a head. Assume A flips, then B, then C.
I understand it follows a sequeance {1, 0... | 5 | [
-0.00970458984375,
-0.0089111328125,
0.03173828125,
-0.036376953125,
-0.048583984375,
0.006988525390625,
0.046630859375,
0.08154296875,
0.068359375,
0.05810546875,
-0.031494140625,
-0.0279541015625,
0.047119140625,
-0.064453125,
-0.046875,
0.026611328125,
0.034423828125,
-0.0961914... | 41,040 | 41040 | |
Math Help
Hi Im just going to do this the classic/stupid way. Solve for x in x+1/x=4 and you get x=1/3, then substitude it into the other equation and bam you got the answer. THere's probably a better, more
efficient way though... Derg
Hello, Rimas! This problem has a spectacular solution . . . If $x + \frac{1}{x} \,... | 4 | [
-0.020751953125,
0.02392578125,
-0.038330078125,
0.134765625,
-0.06640625,
-0.0198974609375,
0.0216064453125,
-0.02490234375,
0.06640625,
-0.09033203125,
-0.095703125,
-0.0732421875,
0.0478515625,
0.004730224609375,
0.0087890625,
0.0177001953125,
0.0260009765625,
0.037841796875,
... | 41,041 | 41041 | |
27 U.S. States North of Canada -- Map
Distance converter spreadsheet. It turns out that deriving many of the facts above is greatly facilitated by the ability to switch latitude measurement formats easily, that is, from degrees minutes
seconds to decimal degrees and back. So I wrote a spreadsheet. It now does a lot ... | 4 | [
0.06201171875,
0.0203857421875,
-0.025634765625,
-0.050537109375,
-0.004852294921875,
0.06640625,
-0.1533203125,
0.0341796875,
0.076171875,
0.0238037109375,
0.00970458984375,
-0.036376953125,
0.004852294921875,
0.0228271484375,
0.045166015625,
-0.0712890625,
-0.02001953125,
0.07910... | 41,042 | 41042 | |
determinant of block matrix
December 1st 2010, 09:06 AM #1
Junior Member
Joined
Aug 2010
Posts
37
determinant of block matrix
Let M be a nxn matrix and A is a mxm and C is kxk square matrix.
If $\[<br /> M =<br /> \left[ {\begin{array}{cc}<br /> A & B \\<br /> O & C \\<br /> \end{array} } \right]<br ... | 5 | [
-0.0260009765625,
0.04052734375,
-0.0191650390625,
-0.02978515625,
0.014404296875,
0.05615234375,
-0.000278472900390625,
-0.080078125,
-0.04541015625,
0.00714111328125,
0.047607421875,
-0.0223388671875,
0.0228271484375,
-0.050537109375,
-0.06298828125,
0.1298828125,
0.04052734375,
... | 41,043 | 41043 | |
Problem Solving Using Algebraic Models
August 26th 2008, 04:32 PM
Shelbyrockin
Problem Solving Using Algebraic Models
"The Chunnel connects the United Kingdom and France by a railway tunnel under the English Channel. The British started tunneling 2.5 months before the French and averaged 0.63 kilometers per
... | 4 | [
0.042236328125,
0.036376953125,
0.050048828125,
0.0216064453125,
-0.05126953125,
-0.0208740234375,
-0.050048828125,
0.037353515625,
-0.047119140625,
0.0712890625,
0.0283203125,
-0.02197265625,
0.03466796875,
0.036865234375,
-0.02490234375,
0.0517578125,
-0.0703125,
-0.07958984375,
... | 41,044 | 41044 | |
mathschallenge.net
Harmonic Sum Approximation
Problem
H[n] = 1 + 1/2 + 1/3 + ... + 1/n is defined as the nth Harmonic number.
1. Prove that H[n] n) + 1/(2n) + k, where 0.5 k
2. By using k = 0.5772, estimate the sum of the first one hundred Harmonic numbers.
Solution
Consider the graph y = 1/x for 0 x
The exact... | 5 | [
-0.01019287109375,
0.0537109375,
0.07421875,
-0.037841796875,
-0.01025390625,
-0.0693359375,
0.0390625,
0.08056640625,
-0.0198974609375,
0.0238037109375,
-0.0712890625,
-0.06689453125,
0.039794921875,
-0.06640625,
-0.057861328125,
-0.0235595703125,
-0.00872802734375,
-0.03637695312... | 41,045 | 41045 | |
Math Forum Discussions - Re: simplifying rational expressions
Date: Jan 17, 2013 12:10 AM
Author: justlooking for someone else
Subject: Re: simplifying rational expressions
I did heed your advice and not look at your solution at all because
Jussi (2nd reply on this thread) had already pointed out the mistake
in my obs... | 4 | [
-0.01708984375,
0.07373046875,
0.078125,
0.06787109375,
0.0888671875,
0.0128173828125,
0.00026702880859375,
-0.017578125,
-0.000537872314453125,
0.043701171875,
0.03564453125,
0.0062255859375,
0.01434326171875,
0.083984375,
0.07666015625,
0.059814453125,
-0.034423828125,
0.00958251... | 41,046 | 41046 | |
A number riddle
December 10th 2005, 06:08 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
A number riddle
I created a riddle and supplied an answer, I happen to think it is interesting.
As one counts from 1 to 1000000000 how many times does one meet the number ... | 5 | [
-0.06298828125,
-0.025390625,
-0.043701171875,
-0.006103515625,
0.0169677734375,
0.01171875,
0.076171875,
0.04736328125,
-0.00921630859375,
-0.0576171875,
-0.06591796875,
-0.0002498626708984375,
0.1103515625,
0.10693359375,
-0.0191650390625,
-0.0194091796875,
-0.04296875,
-0.041259... | 41,047 | 41047 | |
Mistake in Wikipedia Entry "Coalgebra"
up vote 4 down vote favorite
1
Consider the following quote from the Wikipedia entry Coalgebra:
The kernel of every coalgebra morphism $f : C_1 \to C_2$ is a coideal in $C_1$, and the image is a subcoalgebra of $C_2$.
I can't see any qualifiers preceding or succeeding the s... | 4 | [
-0.00830078125,
-0.0225830078125,
-0.038330078125,
-0.0267333984375,
-0.02978515625,
0.051513671875,
0.0162353515625,
0.0673828125,
-0.06005859375,
-0.046875,
0.02978515625,
-0.10205078125,
-0.0673828125,
-0.027099609375,
0.026123046875,
0.0303955078125,
-0.03466796875,
0.043212890... | 41,048 | 41048 | |
Metacyclic groups in $AGL(4,3)$
up vote 1 down vote favorite
Just wonder if there is any known results on the transitive metacyclic groups of $AGL(4,3)$?
Sorry, I should elaborate a bit here. I am working on a graph $\Gamma$ which admits a metacyclic group transitive on its vertices. By some other restricted conditio... | 5 | [
-0.0634765625,
-0.028564453125,
0.005218505859375,
0.0025482177734375,
0.048095703125,
-0.0654296875,
0.01226806640625,
-0.052490234375,
0.0291748046875,
-0.051025390625,
0.026611328125,
-0.06640625,
0.0103759765625,
-0.034423828125,
-0.0101318359375,
0.04736328125,
-0.02783203125,
... | 41,049 | 41049 | |
Electric Circuit Lapalace Transform Question
May 1st 2011, 02:43 PM #1
Newbie
Joined
Apr 2011
Posts
18
*Laplace Transform.
I need help with solving this equation, please.
In an RLC circuit, L =1H, C = 1/5F, R =2Ohm and f(t) = 2 sin t. Write down the differential equation that describes v(t), the... | 5 | [
-0.111328125,
0.0634765625,
0.061279296875,
-0.00055694580078125,
0.09326171875,
0.0771484375,
-0.0751953125,
0.037353515625,
0.0213623046875,
0.07861328125,
0.06982421875,
-0.125,
0.043701171875,
0.0517578125,
-0.01092529296875,
-0.04931640625,
-0.06640625,
-0.01123046875,
-0.04... | 41,050 | 41050 | |
Modular Forms
Modular Forms
This chapter introduces modular forms and congruence subgroups, which are central objects in this book. We first introduce the upper half plane and the group Remarks on Congruence Subgroups we
discuss congruence subgroups and explain a simple way to compute generators for them and determin... | 4 | [
-0.1513671875,
0.0024261474609375,
0.037841796875,
0.01446533203125,
0.01416015625,
-0.033447265625,
0.03955078125,
0.00823974609375,
0.02001953125,
-0.072265625,
0.033203125,
0.03857421875,
0.01239013671875,
-0.0458984375,
-0.00390625,
-0.0771484375,
-0.06884765625,
-0.00561523437... | 41,051 | 41051 | |
Loan Payment Formula with Irregular First Period
Date: 05/16/2003 at 09:57:20
From: Art Norman
Subject: Loan payment formula with irregular first period
What is the mathematical formula for calculating a level payment
payment on a simple interest loan with an irregular (short or long)
first period?
I have searched t... | 5 | [
-0.0302734375,
0.020263671875,
0.068359375,
-0.0260009765625,
-0.00384521484375,
-0.0693359375,
-0.07568359375,
0.068359375,
0.047607421875,
0.068359375,
0.00421142578125,
-0.0005340576171875,
-0.012939453125,
0.034912109375,
0.01043701171875,
0.0155029296875,
-0.1064453125,
-0.002... | 41,052 | 41052 | |
Greatest Product
September 30th 2008, 04:12 AM #1
Newbie
Joined
Sep 2008
Posts
1
I'm working on this problem. I have an arbitrary number n. Then I'm finding out which will give me the biggest product when the numbers that make up the sum of n are multiplied together. The
answer always seems to be a co... | 5 | [
-0.049072265625,
-0.00775146484375,
0.010009765625,
-0.099609375,
-0.02392578125,
-0.03662109375,
0.055419921875,
0.050537109375,
0.00750732421875,
0.037109375,
-0.115234375,
0.015869140625,
0.107421875,
-0.04736328125,
-0.0206298828125,
0.083984375,
0.048828125,
0.0546875,
-0.02... | 41,053 | 41053 | |
Math Forum Discussions - Re: Elementary complex analysis
Date: Mar 8, 2013 3:55 AM
Author: quasi
Subject: Re: Elementary complex analysis
William Hughes wrote:
>David C. Ullrich wrote:
>>Paul wrote:
>> >
>> >I suspect there's a theorem about entire complex function
>> >f which have the property that the absolute value... | 5 | [
-0.109375,
0.037841796875,
-0.059326171875,
0.11865234375,
0.0281982421875,
0.033203125,
0.0400390625,
0.03466796875,
0.0189208984375,
0.02392578125,
-0.021728515625,
0.044677734375,
0.07080078125,
0.00982666015625,
-0.00130462646484375,
-0.08349609375,
-0.00023555755615234375,
-0.... | 41,054 | 41054 | |
Math Help Right Away!!!
February 21st 2006, 08:26 PM
Nimmy
Math Help Right Away!!!
2. (n!)/(n-2!) n= 2,3,4... Converges or Diverges? If converges where does it converge?
3. Summation of n=0 goes to infinity of the equation 2(-1/2)^n Converges where?
February 21st 2006, 08:54 PM
earboth
Quote:
O... | 5 | [
-0.011962890625,
-0.10400390625,
-0.00872802734375,
0.00927734375,
-0.07177734375,
-0.037353515625,
-0.0322265625,
0.006134033203125,
0.044677734375,
0.02001953125,
0.040283203125,
-0.064453125,
-0.0595703125,
-0.01434326171875,
-0.043212890625,
0.0283203125,
-0.0167236328125,
-0.0... | 41,055 | 41055 | |
CHAPITRE VIII
THE EFFECT OF ANKLE TIME TO PEAK TORQUE ON FORWARD FALL RECOVERY: EXPERIMENTAL VALIDATION OF A MATHEMATICAL MODEL
(Soumis à Journal of Neurophysiology)
M. Simoneau* and P. Corbeil
Faculté de Médecine, Division de Kinésiologie, Université Laval, Québec, Québec, Canada, G1K7P4.
Running head: Feasible fo... | 4 | [
-0.0751953125,
-0.05322265625,
0.0146484375,
-0.036376953125,
-0.0283203125,
0.1064453125,
-0.037109375,
0.1474609375,
0.064453125,
0.05517578125,
0.03369140625,
0.032958984375,
0.107421875,
-0.001983642578125,
-0.041015625,
0.0181884765625,
0.007598876953125,
0.08251953125,
-0.0... | 41,056 | 41056 | |
Review Of Logic For Computer Scientists
Review of
Logic for Computer Scientists∗
Riccardo Pucella
... | 4 | [
0.041259765625,
0.0169677734375,
-0.047607421875,
-0.023681640625,
-0.01043701171875,
-0.0296630859375,
0.02001953125,
0.02587890625,
0.057373046875,
0.1162109375,
-0.0517578125,
0.060546875,
0.0196533203125,
0.004425048828125,
0.0140380859375,
0.0615234375,
-0.10888671875,
-0.1689... | 41,057 | 41057 | |
ntersection of
The Intersection of Two Surfaces
Though the theme of this page is the points that lie on both of two surfaces, let us begin with only one, the contour
x^2z - xy^2 = 4
or essentially z = (xy^2 + 4)/x^2. Let us sup... | 5 | [
0.0027923583984375,
0.034912109375,
0.0284423828125,
0.0113525390625,
0.0189208984375,
0.01165771484375,
0.032958984375,
0.023681640625,
-0.02685546875,
0.0322265625,
0.010986328125,
0.00848388671875,
0.06298828125,
0.0595703125,
-0.068359375,
0.006195068359375,
-0.060791015625,
0.... | 41,058 | 41058 | |
Kernal of the left regular action
November 29th 2013, 10:09 AM #1
Kernal of the left regular action
The left regular action is defined as follows: Let G be a group and A = G (as sets.) Define $\phi : G \times A \to A: g \cdot a \mapsto ga$ where g is any element of G and a is any element of A.
ga is calculate... | 4 | [
-0.049560546875,
-0.032470703125,
0.11279296875,
-0.0029296875,
-0.06787109375,
0.03759765625,
0.1123046875,
-0.0478515625,
0.039306640625,
0.037109375,
0.042724609375,
0.036865234375,
-0.05126953125,
-0.07958984375,
-0.042236328125,
0.033447265625,
-0.0228271484375,
0.038818359375... | 41,059 | 41059 | |
Math Forum Discussions - Least-squares scaling
Date: Nov 11, 2012 1:55 PM
Author: Kaba
Subject: Least-squares scaling
Hi,
Let
R in R^{d times n}
P in R^{d times n}, and
S in R^{d times d}, S symmetric positive semi-definite.
The problem is to find a matrix S such that the squared Frobenius norm
E =... | 4 | [
-0.00775146484375,
0.01708984375,
-0.0030517578125,
-0.0201416015625,
0.03369140625,
0.123046875,
0.02490234375,
0.09326171875,
0.012451171875,
0.080078125,
0.00119781494140625,
0.11279296875,
0.0291748046875,
0.051025390625,
-0.000518798828125,
0.022705078125,
0.03955078125,
0.040... | 41,060 | 41060 | |
Connective constant for self-avoiding walks on a skip-chain
up vote 4 down vote favorite
1
Suppose we have an undirected graph with integer valued nodes where $0<|i-j|\le 2$ implies nodes $i$ and $j$ are connected. Let $c_n$ be the number of self-avoiding walks on this graph of length $n$
starting at origin. Define th... | 5 | [
-0.07373046875,
-0.0849609375,
0.00946044921875,
0.0888671875,
0.02294921875,
0.01806640625,
0.051513671875,
0.0279541015625,
0.04638671875,
0.00176239013671875,
-0.029296875,
-0.0177001953125,
0.01226806640625,
-0.022705078125,
-0.042236328125,
-0.006011962890625,
0.034912109375,
... | 41,061 | 41061 | |
spring mass-undamped
October 8th 2009, 08:30 PM
latavee
spring mass-undamped
A 20-kilogram mass is attached to a spring. If the frequency of simple harmonic motion is 2/pi cycles per second, what is the spring constant k? What is the frequency (in cycles per second) of
simple harmonic motion if the original ... | 4 | [
0.0252685546875,
0.0576171875,
0.0223388671875,
0.0233154296875,
-0.07666015625,
0.0233154296875,
-0.0458984375,
-0.0091552734375,
-0.026123046875,
0.0634765625,
0.072265625,
-0.030029296875,
0.0341796875,
-0.040771484375,
0.0498046875,
0.038330078125,
0.0166015625,
0.06982421875,
... | 41,062 | 41062 | |
Using zero-sharp to characterize L
up vote 4 down vote favorite
3
Hi all,
In most set-theory accounts dealing with $ 0 ^ \sharp $ and its related effects on the constructible sets, a proof of the following theorem is crucial:
(*) Assuming there is a measurable cardinals, for uncountable limit cardinals $ \alpha , \b... | 5 | [
-0.031494140625,
-0.04345703125,
0.05517578125,
0.024169921875,
0.057373046875,
0.0927734375,
0.08984375,
0.072265625,
-0.021728515625,
0.04345703125,
-0.0308837890625,
-0.0205078125,
0.041259765625,
0.04150390625,
-0.03662109375,
0.005950927734375,
-0.028076171875,
-0.020263671875... | 41,063 | 41063 | |
Function domain
July 26th 2005, 07:22 AM #1
Member
Joined
Jul 2005
Posts
187
Function domain
The function is f(x)=-ln(1/x).
1)Find domain.
Denominator must not be zero and the whole value as well. If the domain is [1;infinity) I reckon it is wrong because when the denominator is for example 9 mil... | 4 | [
0.0037994384765625,
-0.06201171875,
-0.004486083984375,
0.0286865234375,
0.018310546875,
-0.1611328125,
0.005035400390625,
0.006439208984375,
0.061767578125,
0.005859375,
0.0595703125,
-0.06494140625,
0.041015625,
0.11376953125,
0.00592041015625,
-0.0322265625,
-0.08056640625,
-0.1... | 41,064 | 41064 | |
Arithmetic/Geometric Means
September 16th 2006, 12:29 PM
dancingshoes63
Arithmetic/Geometric Means
I'm supposed to prove that:
If 0<y(1)<x(1) and x(n+1)=(x(n)+y(n))/2 and y(n+1)=sqrt(x(n)y(n)
then 0<y(n)<x(n).
I can't figure out how to get started on this proof. I can see that it should be an induc... | 5 | [
-0.060302734375,
-0.0040283203125,
0.062255859375,
0.0269775390625,
-0.01422119140625,
0.00213623046875,
-0.06591796875,
-0.05517578125,
0.0269775390625,
-0.0062255859375,
-0.10009765625,
0.04443359375,
-0.004425048828125,
0.04443359375,
-0.002197265625,
0.08935546875,
-0.04370117187... | 41,065 | 41065 | |
stationary points?
July 19th 2010, 02:23 PM #1
Junior Member
Joined
Mar 2009
Posts
32
stationary points?
1. For the following function:
y= x^3/3+ 2x^2 + 3x - 1
a. Find the stationary points.
b. Use the second-order derivatives to test whether the stationary points are at a
maximum or... | 4 | [
-0.026123046875,
-0.08154296875,
-0.004241943359375,
-0.052490234375,
-0.0018768310546875,
0.0020751953125,
-0.000621795654296875,
0.07568359375,
0.0830078125,
-0.00592041015625,
0.0791015625,
-0.0264892578125,
0.0556640625,
-0.01708984375,
0.0098876953125,
0.003173828125,
0.00674438... | 41,066 | 41066 | |
Symmetric polynomials theorem
up vote 5 down vote favorite
2
Hello all, I would appreciate comments on the following question:
A main theorem of symmetric functions might be formulated: Let k be a field of char. 0. Then $k[x_1,...,x_n]^{S_n} = k[s_1,...,s_n]$, i.e. symmetric polynomials can be written as polynomials ... | 4 | [
-0.047119140625,
-0.01043701171875,
0.080078125,
-0.0301513671875,
-0.0235595703125,
0.04736328125,
0.0341796875,
-0.006927490234375,
-0.0269775390625,
-0.0027618408203125,
0.01177978515625,
0.040771484375,
0.023193359375,
-0.091796875,
-0.01104736328125,
0.1279296875,
-0.01892089843... | 41,067 | 41067 | |
How to Calculate IRR With Initial Outlay and Single Cash Flow
Original post by Bryan Keythman of Demand Media
The internal rate of return (IRR) measures the average annual rate of return an investment generates based on its initial cost and its cash flows over the holding period of the investment. You can
calculate a... | 4 | [
-0.042236328125,
-0.00640869140625,
-0.1103515625,
0.00286865234375,
-0.03564453125,
-0.08349609375,
-0.016357421875,
0.09326171875,
0.0419921875,
0.04443359375,
0.00933837890625,
-0.043701171875,
0.000926971435546875,
0.034912109375,
0.004364013671875,
-0.024169921875,
-0.0708007812... | 41,068 | 41068 | |
Question in lie algebra
December 17th 2011, 10:07 PM #1
Question in lie algebra
Please Help
1. Let L be a complex Lie algebra. Show that L is solvable if and only if L' is nilpotent.
2. Let L be a Lie algebra and let A be a subalgebra of L. The normaliser
of A, denoted NL(A), is defined by
NL(A... | 5 | [
-0.064453125,
-0.02783203125,
0.033935546875,
-0.00439453125,
-0.026123046875,
0.07373046875,
0.01373291015625,
-0.0289306640625,
-0.02587890625,
-0.06298828125,
0.0262451171875,
-0.0289306640625,
-0.06005859375,
-0.025390625,
0.0301513671875,
0.04541015625,
-0.0556640625,
-0.01049... | 41,069 | 41069 | |
Generalized Extreme Value Distribution
Definition
The probability density function for the generalized extreme value distribution with location parameter µ, scale parameter σ, and shape parameter k ≠ 0 is
for
k > 0 corresponds to the Type II case, while k < 0 corresponds to the Type III case. For k = 0, correspondi... | 5 | [
-0.0252685546875,
-0.02880859375,
0.021728515625,
-0.0196533203125,
-0.0693359375,
-0.0537109375,
-0.033447265625,
0.06787109375,
-0.0272216796875,
-0.0123291015625,
0.024658203125,
0.0301513671875,
0.08349609375,
0.04931640625,
-0.0218505859375,
-0.033447265625,
0.107421875,
-0.00... | 41,070 | 41070 | |
Solving the Field Membership Problem using Grobner Bases
up vote 7 down vote favorite
1
Is there an easy way to determine whether a set of elements in a field generates the whole field or only a subfield?
Specifically, I have a subfield of $k(x,y)$ described in terms of a canonical set of generators, and I have two o... | 4 | [
-0.05517578125,
0.037109375,
-0.054443359375,
-0.08251953125,
-0.006683349609375,
-0.08935546875,
0.0140380859375,
-0.0654296875,
-0.0260009765625,
-0.09326171875,
-0.06689453125,
-0.00677490234375,
0.06591796875,
-0.07470703125,
-0.0439453125,
0.0986328125,
-0.044921875,
0.0634765... | 41,071 | 41071 | |
Tayor Series
April 10th 2007, 02:18 PM #1
Junior Member
Joined
Feb 2007
Posts
25
Tayor Series
I need to find the gerneral term for the Taylor series expansion with x=2 and f(x) = ln(abs(x-1)).
Not really sure where to start. Instructions say to refer to a a similar questions where f(x) = 1/(x-1). An... | 5 | [
-0.0029144287109375,
-0.10693359375,
0.0306396484375,
-0.015625,
-0.00830078125,
-0.03369140625,
-0.01416015625,
0.01495361328125,
0.03857421875,
0.05712890625,
0.08740234375,
-0.05322265625,
0.028564453125,
-0.04248046875,
-0.03515625,
0.03564453125,
-0.0546875,
-0.1005859375,
-... | 41,072 | 41072 | |
analog of principle of inclusion-exclusion
up vote 6 down vote favorite
When I teach elementary probability to my finite math students, a common error is to mix up the concepts of disjointness and independence. At some point I thought that it might be helpful to some
students to draw the analogy between the two concep... | 4 | [
0.0115966796875,
-0.0186767578125,
0.07373046875,
0.025146484375,
0.03662109375,
-0.0286865234375,
0.068359375,
-0.004364013671875,
0.07275390625,
0.033203125,
0.0341796875,
-0.0159912109375,
0.0830078125,
0.0118408203125,
0.02685546875,
0.0162353515625,
-0.032470703125,
0.00811767... | 41,073 | 41073 | |
Annuity Due
November 8th 2009, 11:02 AM
PensFan10
Annuity Due
Steve wishes to save for his retirement by depositing 1200 at the beginning of each year for 30 years. Exactly one year after his last deposit, he wishes to being making annual level withdrawals
until he has made 20 withdrawals and exhausted the s... | 4 | [
0.0361328125,
0.05810546875,
-0.0167236328125,
0.0012054443359375,
0.00970458984375,
-0.03369140625,
0.02099609375,
0.0986328125,
0.0040283203125,
0.0439453125,
-0.002044677734375,
0.0223388671875,
-0.03466796875,
0.0966796875,
0.04052734375,
0.056640625,
-0.10400390625,
0.04150390... | 41,074 | 41074 | |
Fourier transform for dummies
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
So ... what is the Fourier transform? What does it do? Why is it useful (both in math and in engineering, physics, etc)?
... | 4 | [
-0.0751953125,
0.031982421875,
-0.009765625,
-0.021484375,
0.0159912109375,
0.068359375,
-0.056640625,
0.068359375,
0.0067138671875,
0.0189208984375,
0.021728515625,
-0.0076904296875,
-0.0751953125,
-0.0224609375,
0.05615234375,
-0.05908203125,
-0.00787353515625,
-0.0244140625,
-... | 41,075 | 41075 | |
Right Triangle Trig word problem
April 6th 2009, 12:46 PM #1
Junior Member
Joined
Sep 2008
From
Canada
Posts
42
Right Triangle Trig word problem
I'm stuck on this...sorry, there's a diagram I dont' have time to scan, but hopefully it is clear enough:
"A flagpole is located at the edge of a sheer... | 4 | [
0.030029296875,
0.09765625,
-0.042236328125,
-0.047607421875,
0.0262451171875,
0.053955078125,
0.01190185546875,
0.119140625,
-0.08056640625,
0.027587890625,
0.017578125,
-0.038330078125,
-0.0052490234375,
0.04833984375,
0.01141357421875,
0.08837890625,
-0.08935546875,
0.04296875,
... | 41,076 | 41076 | |
Finding stationary points
July 21st 2010, 07:01 AM
Glitch
Finding stationary points
The question:
Find and identify the stationary points for $y = e^{2x}(1 - x)$
My attempt:
I differentiated the function as per here.
But I'm not sure how to solve for x when $y^{'} = e^{2x}(3 - 2x) = 0$. I tried... | 5 | [
-0.024169921875,
-0.06298828125,
-0.005767822265625,
-0.041748046875,
-0.0137939453125,
-0.020263671875,
0.006195068359375,
-0.0036163330078125,
0.06640625,
0.032958984375,
0.0546875,
-0.0810546875,
0.01251220703125,
0.009521484375,
0.09228515625,
-0.02880859375,
-0.0279541015625,
... | 41,077 | 41077 | |
Trigonometric equations with parameter
January 9th 2010, 07:36 AM #1
Trigonometric equations with parameter
How would you solve this equation, and most importantly how would you have written down the answer to this equation?
$\sin 2x + \sin x = a + \cos x$, where $a$ is a parameter.
I solved this equati... | 5 | [
-0.031982421875,
0.0174560546875,
0.07177734375,
0.0191650390625,
-0.035400390625,
0.042724609375,
-0.011474609375,
0.0927734375,
-0.017333984375,
0.0634765625,
0.0546875,
0.007080078125,
0.034423828125,
-0.0027923583984375,
-0.00433349609375,
0.00131988525390625,
0.0458984375,
-0.... | 41,078 | 41078 | |
Linear Algebra equation: please help!
February 27th 2008, 06:46 AM
t16
Linear Algebra equation: please help!
Matrix A:
1 1
4 1
x' = Ax
( x' = Derivative of x )
Solve for the general solution to the system.
Above is the equation. I'm 90% sure it's linear algebra and supposedly a rathe... | 5 | [
-0.04248046875,
-0.04150390625,
0.0223388671875,
-0.056396484375,
0.0162353515625,
-0.0167236328125,
0.02294921875,
-0.0267333984375,
0.0025787353515625,
0.01092529296875,
0.05029296875,
-0.03759765625,
-0.000606536865234375,
-0.06982421875,
-0.05029296875,
0.08544921875,
-0.03125,
... | 41,079 | 41079 | |
Fourier Transform
Discrete Fourier Transform
Spectral Analysis – process of identifying component frequencies in data Discrete Fourier Transform – computational basis of spectral analysis for discrete data Transforms time-based or space-based data into frequency-based da... | 4 | [
-0.09130859375,
0.0177001953125,
-0.0625,
-0.058837890625,
0.0255126953125,
-0.076171875,
0.037353515625,
0.005401611328125,
0.10546875,
-0.0140380859375,
0.0000667572021484375,
-0.000713348388671875,
-0.0751953125,
0.02734375,
0.03759765625,
-0.1162109375,
-0.00140380859375,
0.009... | 41,080 | 41080 | |
Confirmation / Help
1. May 8th 2013, 06:23 PM #1
2. May 8th 2013, 08:16 PM #2
Last edited by moob; May 8th 2013 at 08:32 PM.
3. May 8th 2013, 08:46 PM #3
Re: Confirmation / Help
Most forums try to discourage the bumping of topics (esp. after less than 2 hours), unless the OP has additional pr... | 5 | [
-0.07763671875,
0.02783203125,
0.031982421875,
-0.004791259765625,
0.03759765625,
-0.007659912109375,
-0.0284423828125,
0.0673828125,
-0.03564453125,
0.052490234375,
0.07080078125,
0.029541015625,
-0.021484375,
-0.017578125,
-0.059326171875,
0.06640625,
-0.0810546875,
-0.072265625,... | 41,081 | 41081 | |
Hilbert System Proof. ( p /\ q ) -> (q /\ p )
October 7th 2012, 03:59 AM
Mathic
Hilbert System Proof. ( p /\ q ) -> (q /\ p )
Hey guys, as the title describes i need some help for this proof!
I have to use these operations and i "just" need to find the right part of the proof.
1. {q -> ~p, ~~p} l- _... | 4 | [
-0.046142578125,
0.037109375,
0.10498046875,
-0.0986328125,
0.02880859375,
0.09814453125,
0.050048828125,
0.042236328125,
-0.000278472900390625,
0.038330078125,
0.05810546875,
-0.021484375,
0.037841796875,
-0.0086669921875,
-0.00762939453125,
0.035400390625,
-0.1083984375,
-0.00976... | 41,082 | 41082 | |
Function, using two-path test, finding limits
April 29th 2010, 06:56 AM #1
Member
Joined
Sep 2009
Posts
124
Function, using two-path test, finding limits
$f(x,y) = \frac{x}<br /> {{1 - {y^2}}},y e \pm 1<br />$
a) Using the paths x=0 and y=x+1, show by the two-path test that the limit, ${\lim _{(x,y)... | 5 | [
-0.0284423828125,
-0.054931640625,
-0.028076171875,
-0.0693359375,
-0.00982666015625,
-0.032958984375,
-0.033447265625,
-0.0390625,
-0.0079345703125,
-0.016845703125,
0.01239013671875,
-0.0033721923828125,
0.00860595703125,
0.048095703125,
0.0262451171875,
0.0008697509765625,
-0.0239... | 41,083 | 41083 | |
Log/Exponential problem
October 31st 2008, 04:11 PM
Uncle6
Log/Exponential problem
I have a log/exponential problem I need help with:
$4^x + 6( 4 ^ {-x} ) = 5<br />$
So far the only thing i've thought of is to change 6 and 5 into a base of 4.
$6 = 4^\frac {\log_6}{log_4}$
If u can help, thank... | 4 | [
0.037109375,
-0.0341796875,
-0.00183868408203125,
0.022705078125,
0.00921630859375,
-0.076171875,
0.0135498046875,
0.040771484375,
0.036376953125,
0.04736328125,
-0.01513671875,
-0.024169921875,
0.00885009765625,
0.0263671875,
0.00408935546875,
0.0791015625,
-0.1298828125,
0.032958... | 41,084 | 41084 | |
Find the LCM (aka LCD) in Two Easy Steps
June 9, 2011
This is really the “Week of the LCM” for me.
Just as I was finishing my last post, on a new way to find the LCM for a pair of numbers, I discovered another way to do the same thing.
I was looking at the problems at the end of my last post, these problems:
b) 15... | 4 | [
-0.025634765625,
0.09765625,
0.025390625,
-0.07421875,
0.0025634765625,
0.0164794921875,
-0.058837890625,
0.053955078125,
-0.053955078125,
0.005645751953125,
0.057373046875,
-0.049072265625,
0.060302734375,
0.033447265625,
0.017333984375,
-0.021728515625,
-0.11962890625,
0.06640625... | 41,085 | 41085 | |
Similarity by AA
7.3: Similarity by AA
Created by: CK-12
Learning Objectives
• Determine whether triangles are similar using the AA Postulate.
• Solve problems involving similar triangles.
Review Queue
1.
1. Find the measures of $x$$y$
2. The two triangles are similar. Find $w$$z$
2. Use the true p... | 4 | [
-0.053466796875,
0.0732421875,
-0.0859375,
-0.018310546875,
0.011474609375,
-0.051513671875,
0.01318359375,
0.052001953125,
-0.03369140625,
0.03515625,
0.057373046875,
-0.037109375,
-0.031494140625,
0.09326171875,
0.06640625,
0.056884765625,
-0.057861328125,
0.02197265625,
-0.103... | 41,086 | 41086 | |
Probability distribution for fun!
October 6th 2012, 07:03 PM #1
Junior Member
Joined
Sep 2008
Posts
28
Probability distribution for fun!
I notice most questions here are for homework or such, but i graduated long ago and just like to have some fun sometimes, so I don't mean to take away time from helping... | 4 | [
-0.04736328125,
-0.038330078125,
0.04345703125,
-0.03369140625,
-0.09326171875,
-0.035888671875,
-0.0224609375,
0.037353515625,
0.035888671875,
0.07861328125,
0.0245361328125,
-0.09423828125,
0.03857421875,
0.025634765625,
0.034912109375,
0.024169921875,
0.01409912109375,
-0.008056... | 41,087 | 41087 | |
Discussion following on from another thread.
February 14th 2011, 07:20 PM #1
Banned
Joined
Aug 2010
Posts
961
Thanks
98
Discussion following on from another thread.
A boundary point p of B can not be an interior point of $A\cap B$ because every neighborhood contains points not common to A and B becau... | 4 | [
-0.0024566650390625,
-0.01904296875,
-0.00640869140625,
-0.06787109375,
0.0615234375,
0.00360107421875,
0.134765625,
-0.052734375,
0.044189453125,
-0.080078125,
0.01104736328125,
-0.076171875,
0.0625,
0.03857421875,
0.09423828125,
-0.00799560546875,
-0.057861328125,
-0.1484375,
-... | 41,088 | 41088 | |
Stability of a solution
September 6th 2007, 02:24 AM
lancer6238
Stability of a solution
Dear all,
I have a question on the stability of a solution.
Let a(t), b(t) and c(t) be continuous functions of t over the interval $[0,\infty)$. Assume (x,y) = $(\phi(t), \psi(t))$ is a solution of the system
$\d... | 5 | [
-0.0595703125,
-0.076171875,
-0.006622314453125,
0.0263671875,
-0.046875,
0.1396484375,
-0.0294189453125,
0.033203125,
0.025634765625,
0.03271484375,
0.087890625,
0.06396484375,
-0.030517578125,
-0.07080078125,
-0.0228271484375,
0.1806640625,
0.0174560546875,
-0.08740234375,
-0.0... | 41,089 | 41089 | |
Math Forum Discussions
quasi
Posts: 10,188
Registered: 7/15/05
Re: regular n-gon runners problem
Posted: Jul 23, 2013 7:25 PM
James Waldby wrote:
>quasi wrote:
>
>> Suppose n runners, n >= 3, start at the same time and place
>> on a circular track, and proceed to run counterclockwise
>> along the track (forever), eac... | 5 | [
-0.0908203125,
0.000484466552734375,
-0.016845703125,
0.02197265625,
0.000682830810546875,
0.0791015625,
-0.05810546875,
0.004425048828125,
0.01519775390625,
-0.046630859375,
0.00543212890625,
0.0272216796875,
-0.00628662109375,
0.006622314453125,
0.0123291015625,
-0.05859375,
-0.000... | 41,090 | 41090 | |
use definition of derivative to find a derivative of a trig function
October 16th 2012, 05:31 PM #1
use definition of derivative to find a derivative of a trig function
At this point, I can't use L'Hopital's rule. I tried to solve this using two different approaches and continue to get a 0 in the denominator even... | 4 | [
-0.056884765625,
0.059814453125,
-0.033203125,
-0.026123046875,
0.0108642578125,
0.072265625,
0.0162353515625,
-0.033203125,
-0.0189208984375,
0.0498046875,
0.1220703125,
-0.0595703125,
-0.047607421875,
-0.04443359375,
0.05078125,
0.00160980224609375,
0.0157470703125,
-0.0693359375... | 41,091 | 41091 | |
Partial derivative chain rule
September 29th 2012, 07:34 AM
sgcb
Partial derivative chain rule
Q: Suppose $f$ is a differentiable function of $x$ and $y$, and $g(u, v) = f(e^u + sin(v), e^u + cos(v))$. Use the table of values to calculate $g_{u}(0, 0)$ and $g_{v}(0, 0)$.
$f$ $g$ $f_{x}$ $f_{y}$
... | 5 | [
0.0079345703125,
0.016845703125,
0.01336669921875,
-0.0400390625,
0.068359375,
0.003997802734375,
-0.0595703125,
-0.0556640625,
-0.01361083984375,
0.01611328125,
0.0849609375,
0.015869140625,
-0.049072265625,
0.0213623046875,
0.0791015625,
-0.037841796875,
-0.095703125,
-0.04736328... | 41,092 | 41092 | |
Maxwell Relations
February 11th 2009, 10:02 AM #1
Member
Joined
May 2008
Posts
106
Maxwell Relations
Hey I'm having a little problem with this question
The enthalpy of a gas is defined by $H=U+pV$ where U satisfies $dU=TdS-pdV$ Determine a relationship between the differentials of H, S and p. Hence ... | 4 | [
-0.048828125,
0.04541015625,
0.0712890625,
-0.0296630859375,
0.07666015625,
0.109375,
0.03857421875,
0.00103759765625,
-0.0260009765625,
0.012939453125,
-0.054443359375,
-0.00811767578125,
0.018310546875,
0.055419921875,
0.0419921875,
-0.07177734375,
-0.0166015625,
-0.0118408203125... | 41,093 | 41093 | |
Ishida
Proposing a new constraint for
predictions of tot.c.s.
and ratio at LHC
Muneyuki ISHIDA
Meisei Univ., Japan
New Trends in High Energy Physics,
Yalta, Sept. 16-2... | 4 | [
-0.1357421875,
-0.0167236328125,
0.0306396484375,
0.1142578125,
0.054443359375,
0.015869140625,
-0.02734375,
0.10400390625,
-0.05029296875,
-0.0341796875,
-0.044921875,
-0.080078125,
-0.0556640625,
0.02783203125,
0.040283203125,
0.023681640625,
0.06298828125,
0.0157470703125,
-0.... | 41,094 | 41094 | |
Using entropy to drive search in occupancy grids - Zeyn Saigol
Submodularity for Distributed Sensing
Problems
Zeyn Saigol
IR Lab, School of Computer Science
University of Birmingham
6th July 2010
... | 4 | [
0.002685546875,
0.0023345947265625,
-0.00830078125,
-0.0079345703125,
0.0654296875,
-0.047607421875,
0.052490234375,
0.00958251953125,
-0.0177001953125,
-0.031982421875,
-0.07177734375,
-0.005889892578125,
0.05029296875,
0.00927734375,
-0.01116943359375,
0.060791015625,
0.0888671875,... | 41,095 | 41095 | |
Integral question
March 28th 2011, 06:14 AM #1
Member
Joined
Nov 2008
Posts
146
Integral question
Hi
I want to integrate the following:
1/(ln(x)^3) from 2 to infinity.
Am i allowed to do:
(ln(x)^-3)
-3 ln(x)
pull out -3 and integrate ln (x)?
Ah its the entire [ln(x)]^3.
... | 5 | [
-0.0233154296875,
-0.06103515625,
-0.0015716552734375,
-0.0179443359375,
-0.00970458984375,
-0.0908203125,
-0.040771484375,
-0.0020599365234375,
-0.00823974609375,
-0.00994873046875,
0.048095703125,
-0.00970458984375,
0.00909423828125,
-0.0244140625,
0.026611328125,
0.0615234375,
-0.... | 41,096 | 41096 | |
Theory of combinations.
Theory of combinations. Newton’s binomial
Permutations. Factorial. Arrangements. Combinations. Newton's binomial.
Binomial coefficients. Pascal's triangle. Properties of ... | 4 | [
0.0186767578125,
-0.060546875,
-0.0634765625,
-0.00335693359375,
-0.048828125,
0.037353515625,
0.072265625,
-0.012939453125,
0.080078125,
0.0634765625,
-0.031494140625,
0.062255859375,
0.046630859375,
-0.005218505859375,
-0.0079345703125,
0.07666015625,
-0.036376953125,
0.032714843... | 41,097 | 41097 | |
Analytic Geometry Q1
January 19th 2009, 01:53 AM #1
Analytic Geometry Q1
Question:
If $(-3,y)$ is equidistant from $(2,6)$ and $(7,-2)$, find $y$.
Attempt:
Distance between two points : $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Distance between $(-3,y)$ and $(2,6)$
$= \sqrt{ (2--3)^2 + (6-y)^... | 4 | [
-0.0220947265625,
0.00015735626220703125,
-0.060302734375,
-0.06005859375,
0.00119781494140625,
-0.00848388671875,
-0.06689453125,
0.11474609375,
0.06103515625,
-0.00128173828125,
0.08203125,
-0.045654296875,
-0.040771484375,
0.00897216796875,
-0.027587890625,
-0.0238037109375,
-0.03... | 41,098 | 41098 | |
When does f-nef imply nef (after twisting?)
up vote 5 down vote favorite
4
For a surjective morphism $f \colon X \to Z$ of smooth projective varieties, a line bundle $L$ on $X$ is $f$-nef if is nef on the fibers of $f$. More precisely, for every curve $C$ that is mapped to
a point, the degree of $L$ restricted to $C$ ... | 5 | [
-0.0189208984375,
-0.0179443359375,
0.034912109375,
0.00848388671875,
0.10498046875,
-0.0235595703125,
0.021484375,
0.045654296875,
-0.0174560546875,
-0.0052490234375,
0.11328125,
-0.0196533203125,
-0.038818359375,
0.049072265625,
0.0250244140625,
0.02587890625,
-0.009033203125,
-0... | 41,099 | 41099 |