content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Find cos(A - B) and cos(A) - cos(B) given A+B=60 and CosA + Cos B=1
A+B=60degrees and CosA + Cos B=1 ....find 1) cos(A-B) 2)cosA - Cos B
You have: A+B=60° and cos(A)+cos(B)=1 If you write: cos(A)+cos(B)=1 as 2cos((A+B)/2).cos((A-B)/2)=1 You can solve this one because you know A+B=60° so (A+B)/2=30° You have now: 2cos... | 4 | [
-0.0849609375,
0.078125,
-0.0703125,
-0.036865234375,
-0.05859375,
0.0108642578125,
-0.0306396484375,
-0.003570556640625,
0.0101318359375,
0.03173828125,
0.045654296875,
-0.126953125,
0.03466796875,
0.035400390625,
0.12255859375,
-0.0096435546875,
-0.11181640625,
0.007568359375,
... | 31,200 | 31200 | |
Hypothesis Testing for Proportions
November 30th 2009, 10:22 AM
tammymeadows
Hypothesis Testing for Proportions
I started these but am not sure how to finish them, any help would be appreciated.(Headbang)
1. Use the method specified to perform the hypothesis test for the population mean m. A local politicia... | 5 | [
0.04248046875,
0.10009765625,
0.015625,
0.0184326171875,
0.08154296875,
0.06396484375,
-0.0380859375,
0.1474609375,
-0.04833984375,
0.123046875,
0.107421875,
-0.02197265625,
0.049560546875,
-0.0185546875,
0.0341796875,
-0.042724609375,
0.068359375,
-0.08447265625,
-0.048828125,
... | 31,201 | 31201 | |
gradient of a function and matrices
September 26th 2012, 11:58 PM #1
Newbie
Joined
Sep 2012
From
United States
Posts
2
gradient of a function and matrices
Hi,
I need help computing the gradient of a function.
$f(b) = (y-Xb)^{2}+b^{2}$
Where y and b are vectors, and X is a matrix.
... | 5 | [
-0.05322265625,
-0.09033203125,
-0.0732421875,
-0.11083984375,
0.00144195556640625,
0.08203125,
0.0023345947265625,
-0.0439453125,
-0.052490234375,
0.0693359375,
-0.015869140625,
0.017333984375,
0.002227783203125,
0.014892578125,
0.080078125,
0.2021484375,
-0.01434326171875,
-0.036... | 31,202 | 31202 | |
Using Nonparametric Tests To Evaluate Traffic Forecasting Performance
STEPHEN D. CLARK*
Morley Town Council
SUSAN M. GRANT-MULLER
HAIBO CHEN
University of Leeds
ABSTRACT
This paper proposes the use of a number of nonparametric comparison methods for evaluating traffic flow forecasting techniques. The advantage to th... | 4 | [
-0.054443359375,
-0.09033203125,
0.0279541015625,
0.048095703125,
-0.0223388671875,
-0.00653076171875,
-0.10107421875,
-0.005401611328125,
0.046875,
-0.026611328125,
-0.06884765625,
-0.0419921875,
0.0034027099609375,
0.00555419921875,
-0.07568359375,
-0.053466796875,
0.042724609375,
... | 31,203 | 31203 | |
Math Help
March 6th 2009, 07:45 AM #1
Member
Joined
Feb 2009
From
Chennai
Posts
148
Open set
A map $f:\mathbb{R} \to \mathbb{R}$ is called open if $f(A)$ is open for every open
subset A of R. Show that every continuous open map of R into
itself is monotonic.
Because this function is con... | 5 | [
0.0181884765625,
0.00750732421875,
0.029541015625,
-0.0947265625,
-0.05322265625,
0.0712890625,
0.0264892578125,
0.10546875,
-0.0033721923828125,
0.045166015625,
-0.042236328125,
-0.0130615234375,
0.07470703125,
0.03515625,
0.10693359375,
0.037353515625,
0.036376953125,
-0.01104736... | 31,204 | 31204 | |
Curvature With Parallel Surfaces
August 11th 2010, 11:04 PM #1
Curvature With Parallel Surfaces
I have a two part question, one of which I have no clue of how to approach, the other has been giving me a difficult time for the last three days. The questions are as follow:
Le M be an arbitrairy orientable surf... | 4 | [
0.02880859375,
-0.00970458984375,
0.02880859375,
-0.06640625,
0.00946044921875,
0.06494140625,
0.035888671875,
-0.007659912109375,
-0.064453125,
0.01080322265625,
0.0966796875,
-0.03173828125,
-0.01300048828125,
0.031982421875,
-0.01513671875,
-0.027099609375,
-0.048095703125,
0.04... | 31,205 | 31205 | |
How do I calculate the probability of Z-score 4?
May 27th 2012, 01:35 PM #1
Newbie
Joined
May 2010
Posts
10
Ok I know that the probability of a Z-score of 4 is .49997. I simply want to find out HOW this number was calculated from a Z-score chart that only goes up to like 3.49.
Z-score charts typicall... | 5 | [
0.07470703125,
0.068359375,
-0.0216064453125,
-0.0003681182861328125,
-0.0120849609375,
-0.048095703125,
0.01275634765625,
0.09765625,
-0.036376953125,
0.0177001953125,
-0.0294189453125,
-0.044921875,
0.0859375,
0.1005859375,
-0.019775390625,
-0.04052734375,
0.00157928466796875,
-0... | 31,206 | 31206 | |
Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 684962, 10 pages
http://dx.doi.org/10.1155/2013/684962
Research Article
Positive Solutions for Fourth-Order Nonlinear Differential Equation with ... | 5 | [
-0.00885009765625,
0.09130859375,
0.07177734375,
-0.041015625,
-0.0166015625,
0.05419921875,
0.029052734375,
-0.01031494140625,
0.037109375,
-0.00897216796875,
0.0498046875,
-0.041748046875,
-0.0002727508544921875,
0.0615234375,
0.0234375,
0.04150390625,
-0.0294189453125,
-0.025756... | 31,207 | 31207 | |
Math 8R - HELP!
Posted by Laruen on Tuesday, January 29, 2013 at 8:54pm.
Multi-Step Equations
Systems of Equation
2x = y
4x - y = -2
please help!!!!!
• Math 8R - HELP! - Reiny, Tuesday, January 29, 2013 at 9:09pm
I would use substitution
sub the 1st into the 2nd
4x - y = -2
4x - (2x) = -2
... | 4 | [
-0.048828125,
-0.011962890625,
0.0732421875,
0.010009765625,
0.038330078125,
0.01019287109375,
-0.01300048828125,
0.04150390625,
-0.048095703125,
-0.047119140625,
0.046875,
-0.0181884765625,
0.03271484375,
0.017822265625,
-0.002838134765625,
0.072265625,
-0.057861328125,
-0.0451660... | 31,208 | 31208 | |
max/min
March 9th 2013, 12:06 PM
apatite
max/min
A rectangular tank with a bottom and sided but but no top is to have volume 500 cubic feet. Determine the
dimensions (length, width, height) with the smallest possible surface area.
March 9th 2013, 02:13 PM
ILikeSerena
Re: max/min
Quote:
Hi apati... | 4 | [
0.0120849609375,
0.087890625,
0.0179443359375,
-0.06787109375,
0.00118255615234375,
-0.01458740234375,
0.01385498046875,
0.119140625,
-0.05615234375,
-0.02294921875,
0.0006256103515625,
0.0185546875,
0.10107421875,
0.064453125,
-0.05419921875,
0.0673828125,
-0.0021820068359375,
0.0... | 31,209 | 31209 | |
Homework Help
Posted by karina on Tuesday, February 8, 2011 at 10:33pm.
Tamara is flying in a hot air balloon. The hot air balloons is flying at an altitude of 1100 feet. The ground distance to the landing site is 1400 feet.
What is Tamara's angle of depression to the landing site?
What is the actual distance betwee... | 4 | [
0.01519775390625,
0.1064453125,
-0.061767578125,
0.04638671875,
-0.0003509521484375,
0.058349609375,
-0.0194091796875,
0.111328125,
-0.02392578125,
0.01300048828125,
0.00970458984375,
-0.055908203125,
-0.003265380859375,
0.032958984375,
0.0263671875,
0.061279296875,
-0.08251953125,
... | 31,210 | 31210 | |
Homework Help
Posted by Paisley on Wednesday, March 18, 2009 at 3:43pm.
f(x)= x^3/x^2-16 defined on [-19, 16]
How would you find the vertical asymptopes? and the inflection point?
I think you take the derivative and set it to zero? but i cant figure out the correct derivative or something??
• calc - Damon, Wednes... | 4 | [
0.00775146484375,
0.05615234375,
-0.0250244140625,
0.00921630859375,
-0.025390625,
-0.01068115234375,
-0.0703125,
0.07861328125,
0.01129150390625,
-0.03466796875,
0.09619140625,
-0.031494140625,
0.047119140625,
0.03955078125,
-0.005889892578125,
0.126953125,
0.05615234375,
-0.06738... | 31,211 | 31211 | |
Le Monde puzzle (#800)
December 14, 2012
By xi'an
Here is the mathematical puzzle of the weekend edition of Le Monde:
Consider a sequence where the initial number is between 1 and 10³, and each term in the sequence is derived from the previous term as follows:
1. if the last digit of the previous term is ... | 5 | [
-0.02685546875,
0.00653076171875,
0.00078582763671875,
-0.10107421875,
0.02880859375,
-0.0059814453125,
-0.0186767578125,
0.0223388671875,
-0.0089111328125,
-0.08447265625,
-0.029052734375,
0.07666015625,
-0.064453125,
0.0250244140625,
-0.0615234375,
-0.0400390625,
-0.099609375,
-0... | 31,212 | 31212 | |
V is subspace of R^3
July 1st 2013, 04:11 AM #1
Member
Joined
May 2013
From
england
Posts
100
V is subspace of R^3
Hello,
Let V={(x; y; z)εℝ³ such that 3x-2y+4z=0}
Show that V is a subspace of ℝ³
Can someone guide me through on how to do this?
I am not sure what the question is askin... | 5 | [
0.00921630859375,
-0.00089263916015625,
-0.06640625,
0.01953125,
0.01513671875,
0.02099609375,
0.05078125,
-0.08837890625,
-0.06298828125,
-0.021484375,
-0.048095703125,
-0.0751953125,
-0.011962890625,
-0.01129150390625,
0.03173828125,
-0.08251953125,
-0.023193359375,
-0.0115966796... | 31,213 | 31213 | |
Re: st: RE: Maximize a function that contains an integral
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Re: st: RE: Maximize a function that contains an integral
From Bob Hammond <robert_hammond@ncsu.edu>
To statalist@hsphsun2.harvard.edu
Subject Re: st: RE: Maximize a function th... | 5 | [
-0.03662109375,
0.0294189453125,
-0.049072265625,
-0.032958984375,
-0.01318359375,
-0.0634765625,
-0.043212890625,
0.06591796875,
-0.08447265625,
0.00823974609375,
-0.045654296875,
0.08203125,
0.0380859375,
-0.00494384765625,
-0.027099609375,
0.00982666015625,
0.049560546875,
0.037... | 31,214 | 31214 | |
Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 361989, 10 pages
http://dx.doi.org/10.1155/2013/361989
Research Article
Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
^1Depart... | 4 | [
-0.091796875,
0.0169677734375,
0.0673828125,
0.024169921875,
-0.01483154296875,
-0.0206298828125,
0.031982421875,
0.01226806640625,
-0.03466796875,
0.009765625,
0.07568359375,
0.02001953125,
0.0234375,
0.023193359375,
-0.05810546875,
-0.029296875,
-0.006134033203125,
-0.1318359375,... | 31,215 | 31215 | |
What is the (Koszul? derived?) interpretation of a pair of Lie algebras with the same cohomology?
up vote 6 down vote favorite
5
There are many words and sentences in mathematics that I basically completely don't understand, including the words "Koszul" and "derived". But rather than ask for a complete description of ... | 4 | [
-0.10595703125,
0.05908203125,
0.0054931640625,
0.02783203125,
-0.02490234375,
0.083984375,
-0.046630859375,
-0.029541015625,
-0.0079345703125,
-0.039794921875,
0.00885009765625,
-0.040771484375,
-0.054443359375,
-0.0458984375,
0.05908203125,
0.04736328125,
-0.0654296875,
0.078125,... | 31,216 | 31216 | |
Combination and Permutations
September 14th 2010, 08:30 AM
algorith
Combination and Permutations
What is the probability that a five-card poker hand has the following?
(a) Two Pairs (not four of a kind or a full house).
Choose a kind - 13
Choose 2 of a kind - C(4,2)
Choose another kind - 12
... | 4 | [
0.0257568359375,
0.080078125,
0.0000934600830078125,
-0.0478515625,
-0.07080078125,
0.03271484375,
0.007232666015625,
-0.0142822265625,
0.052490234375,
0.0181884765625,
-0.00274658203125,
0.04150390625,
-0.09765625,
-0.033203125,
-0.035888671875,
0.0308837890625,
-0.0546875,
-0.055... | 31,217 | 31217 | |
Homework Help
Posted by Charley on Wednesday, November 24, 2010 at 1:57am.
How long in years does it take for a principal to triple in value if invested at a rate of r compounded semi-annually? Give t as a function of r.
• math - Reiny, Wednesday, November 24, 2010 at 8:29am
3P = P(1 + r/2)^(2t)
3 = (1+r/2... | 4 | [
0.0093994140625,
0.00555419921875,
0.017578125,
-0.00750732421875,
-0.00909423828125,
-0.07275390625,
-0.0035552978515625,
0.03955078125,
-0.0172119140625,
0.107421875,
0.011962890625,
-0.0830078125,
-0.00537109375,
0.08203125,
0.038818359375,
0.0181884765625,
-0.07958984375,
-0.06... | 31,218 | 31218 | |
EQUATIO - Editorial
PROBLEM LINKS
Practice
Contest
DIFFICULTY
MEDIUM
EXPLANATION
Let d = gcd(x,y), x = dp, y = dq. It's a well-known thing that lcm(x,y)* gcd(x,y) = xy, so the given equation can be written as d2pq = a + bdpq + cd ( * ). From this equation we get pq = (a / d + c)
/ (d - b) ( ** ).
As all ... | 4 | [
-0.08984375,
0.0419921875,
-0.030029296875,
-0.08837890625,
0.039306640625,
0.017333984375,
0.06640625,
0.054931640625,
-0.06640625,
0.007415771484375,
0.006072998046875,
0.005279541015625,
0.04833984375,
0.05029296875,
0.06591796875,
0.049072265625,
-0.0263671875,
0.00439453125,
... | 31,219 | 31219 | |
Puzzled no.2 lol
January 9th 2007, 09:32 AM #1
Newbie
Joined
Jan 2007
Posts
8
Puzzled no.2 lol
A sphere of ice cream 6cm in diameter melts and flows into a cone whose depth is equal to three times its radius. If the melted ice cream fills the cone completely and assuming that there is no
change in th... | 4 | [
0.0208740234375,
-0.058837890625,
0.003204345703125,
-0.010498046875,
-0.01153564453125,
-0.036376953125,
0.007080078125,
0.06982421875,
0.046875,
-0.00994873046875,
-0.07421875,
-0.045166015625,
0.01190185546875,
-0.031005859375,
0.0299072265625,
-0.03857421875,
-0.036376953125,
0... | 31,220 | 31220 | |
Propagation of Nonlinear Pressure Waves in Blood
ISRN Computational Biology
Volume 2013 (2013), Article ID 436267, 5 pages
http://dx.doi.org/10.1155/2013/436267
Research Article
Propagation of Nonlinear Pressure Waves in Blood
Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
... | 4 | [
-0.11376953125,
-0.0250244140625,
-0.00188446044921875,
-0.0537109375,
-0.06640625,
-0.0546875,
-0.061279296875,
0.040283203125,
0.01129150390625,
0.0252685546875,
0.00025177001953125,
-0.01043701171875,
-0.038330078125,
0.052001953125,
-0.006561279296875,
-0.00537109375,
-0.09912109... | 31,221 | 31221 | |
Hybrid Synchronization of General T-S Fuzzy Complex Dynamical Networks with Time-Varying Delay
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 384654, 8 pages
http://dx.doi.org/10.1155/2013/384654
Research Article
Hybrid Synchronization of General T-S Fuzzy Complex Dynamical Networks with Time-Var... | 4 | [
-0.0296630859375,
-0.01055908203125,
0.04443359375,
0.006591796875,
-0.0712890625,
-0.00064849853515625,
0.0247802734375,
-0.0556640625,
0.09716796875,
-0.028076171875,
0.10888671875,
0.0135498046875,
0.05322265625,
-0.011474609375,
-0.08203125,
-0.01068115234375,
0.0322265625,
-0.... | 31,222 | 31222 | |
Derivatives in Word Problem Format
May 24th 2006, 07:47 AM
becky
Derivatives in Word Problem Format
a manufacturer can produce tape recorders at a cost of $20 apiece. It is estimated that if the tape recorders are sold for x dollars apiece, consumers will buy 120-x of them each month. Use
calculus to determi... | 5 | [
-0.0128173828125,
0.02783203125,
-0.02587890625,
-0.07373046875,
-0.05322265625,
0.01373291015625,
0.00543212890625,
0.07861328125,
-0.06640625,
0.0859375,
0.05419921875,
0.054931640625,
0.10888671875,
0.1044921875,
0.0284423828125,
0.0712890625,
-0.0296630859375,
0.0250244140625,
... | 31,223 | 31223 | |
How many Combinations ?
January 17th 2014, 08:17 PM #1
Member
Joined
Nov 2013
From
Australia
Posts
187
Thanks
38
How many Combinations ?
If 2 numbers and 5 letters are chosen in any order, how many possible ordered combinations are there?
------------------------------------------------------... | 4 | [
0.008544921875,
-0.10400390625,
0.031494140625,
0.030517578125,
-0.06494140625,
0.08447265625,
0.031982421875,
0.01123046875,
-0.0106201171875,
0.09423828125,
0.00170135498046875,
0.04150390625,
0.049560546875,
0.09033203125,
-0.060302734375,
0.01953125,
-0.01470947265625,
-0.04101... | 31,224 | 31224 | |
Whats the Order?? derivative mess..
April 11th 2009, 03:24 AM #1
Newbie
Joined
Apr 2009
Posts
1
Whats the Order?? derivative mess..
Hi!
I've got a little problem solving this:
f(x)=tan^3(4x+x^2)
(its a cubed tangent..)
Can't find f' ...
well I do get f'(x)=3.tan^2(4x+x^2)*(2x+4)*(... | 4 | [
0.045166015625,
0.00909423828125,
0.0712890625,
0.039794921875,
-0.03173828125,
-0.0098876953125,
-0.00579833984375,
-0.0439453125,
0.059326171875,
0.038330078125,
0.10986328125,
0.005279541015625,
-0.040771484375,
0.004974365234375,
-0.0035247802734375,
0.01446533203125,
-0.00424194... | 31,225 | 31225 | |
2. Multiplication of Algebraic Expressions
When we multiply algebraic expressions, we need to remember the Index Laws from the Numbers chapter.
Let's see how algebra multiplication works with a series of examples.
Example 1
Multiply x^3(x^4 + 5a)
Solution
We expand this out using the distributive law:
x^3(x^... | 4 | [
-0.055908203125,
0.016357421875,
0.0120849609375,
-0.0172119140625,
-0.0274658203125,
0.022216796875,
-0.01019287109375,
-0.0703125,
0.031982421875,
0.09033203125,
0.083984375,
-0.004608154296875,
0.028076171875,
0.00225830078125,
0.0262451171875,
0.07568359375,
-0.1025390625,
0.13... | 31,226 | 31226 | |
Improving Effort Estimation by Voting Software Estimation Models
Advances in Software Engineering
Volume 2009 (2009), Article ID 829725, 8 pages
http://dx.doi.org/10.1155/2009/829725
Research Article
Improving Effort Estimation by Voting Software Estimation Models
^1Department of Electrical and Computer Engineering,... | 4 | [
-0.0439453125,
-0.0308837890625,
0.002288818359375,
0.046875,
0.017333984375,
-0.0830078125,
-0.001708984375,
0.0771484375,
0.033447265625,
0.042724609375,
-0.111328125,
-0.07666015625,
0.10205078125,
-0.06298828125,
-0.05322265625,
0.016845703125,
0.0208740234375,
-0.11279296875,
... | 31,227 | 31227 | |
A Schistosomiasis Model with Mating Structure
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 741386, 9 pages
http://dx.doi.org/10.1155/2013/741386
Research Article
A Schistosomiasis Model with Mating Structure
^1School of Mathematical Sciences, Anhui University, Hefei 230601, China
^2College of Science... | 5 | [
0.0380859375,
-0.01336669921875,
0.030029296875,
0.04443359375,
-0.0283203125,
0.0098876953125,
-0.05712890625,
0.031982421875,
-0.0196533203125,
0.10791015625,
0.0380859375,
-0.076171875,
0.08203125,
0.07861328125,
-0.0223388671875,
-0.04833984375,
-0.00042724609375,
-0.0045776367... | 31,228 | 31228 | |
Math Help
August 4th 2010, 06:14 PM #1
Junior Member
Joined
Jul 2010
Posts
29
logic
Hi guys just a quick question
Is the following true or false. give argument or counterexample, as appropriate.
{ $A,B,eg C$} is an inconsistent set of sentences iff the argument from $A,B$ as premises to $C$ a... | 5 | [
-0.044677734375,
-0.01953125,
-0.0242919921875,
0.0079345703125,
-0.0216064453125,
-0.020751953125,
0.0096435546875,
-0.062255859375,
0.036376953125,
-0.002685546875,
0.045654296875,
-0.05126953125,
0.09033203125,
0.051025390625,
-0.00897216796875,
0.05029296875,
0.01495361328125,
... | 31,229 | 31229 | |
how to determine eigenvectors of 2x2 matrices like MatLab does?
December 2nd 2011, 06:59 AM #1
Newbie
Joined
Dec 2011
Posts
7
how to determine eigenvectors of 2x2 matrices like MatLab does?
Hi I am attempting to determine the eigenvalues and eigenvectors of a 2x2 matrix.
So how to do the following M... | 4 | [
0.0252685546875,
0.00445556640625,
-0.04248046875,
-0.07958984375,
0.03662109375,
-0.07177734375,
-0.041259765625,
-0.0218505859375,
-0.057373046875,
0.07080078125,
0.06201171875,
-0.076171875,
-0.01373291015625,
-0.01434326171875,
0.060791015625,
-0.0185546875,
-0.033203125,
0.008... | 31,230 | 31230 | |
relative extrema
Can someone help me with the first derivative of this one please. $f(x)=7x+ln(-4x)$
Take the derivative of $f(x)=7x+\ln(-4x)$ using the chain rule for ln(-4x), $\frac{d}{dx}\left(7x+\ln(-4x)\right)=7+\frac{1}{x}$. Set the derivative equal to zero and solve for x, $7+\frac{1}{x}=0\
rightarrow x=-\frac{... | 5 | [
0.02685546875,
-0.0634765625,
0.05908203125,
-0.0771484375,
-0.04931640625,
-0.046142578125,
-0.01226806640625,
0.126953125,
-0.008544921875,
0.0654296875,
0.07666015625,
-0.0042724609375,
0.0625,
0.0810546875,
-0.050537109375,
0.03369140625,
-0.0126953125,
-0.0242919921875,
-0.0... | 31,231 | 31231 | |
the encyclopedic entry of Stationary subset
In
mathematics
, particularly in
set theory
and
model theory
, there are at least three notions of
stationary set
:
Classical notion
If
$kappa$
is a
cardinal
of uncountable
cofinality
,
$Csubseteqkappa$
, and
$C$intersects
every
club
in
$kappa$
, then
... | 4 | [
0.05712890625,
-0.09228515625,
-0.057861328125,
0.018310546875,
0.03515625,
0.0810546875,
0.0673828125,
0.0693359375,
0.11083984375,
-0.051513671875,
-0.025146484375,
-0.025390625,
0.013671875,
0.01519775390625,
0.037841796875,
-0.0791015625,
0.014404296875,
-0.0654296875,
0.0195... | 31,232 | 31232 | |
Explain why, in ANY graph, there must be an even number of odd vertices...
How would I go about explaining this please? Thanks guys!
Last edited by anthmoo; January 14th 2007 at 09:06 AM.
Hello, anthmoo! Here is a primitive approach . . . almost an inductive proof. Explain why, in ANY graph, there must be an even num... | 4 | [
-0.06591796875,
0.028564453125,
0.060546875,
0.1044921875,
0.057373046875,
0.00084686279296875,
0.00738525390625,
0.04296875,
0.01507568359375,
0.076171875,
0.043212890625,
-0.041748046875,
-0.01458740234375,
-0.031982421875,
-0.000934600830078125,
0.0098876953125,
-0.00909423828125,... | 31,233 | 31233 | |
Need Help On A Few Exam Review Problems
December 13th 2009, 04:37 PM
EmG
Need Help On A Few Exam Review Problems
Can anyone help me out on a few or all these problems they are the ones I am cant seem to get. =(
__________________________________________________
58. Find a formula for a sum n for the ari... | 4 | [
-0.02587890625,
0.0888671875,
0.072265625,
-0.0673828125,
-0.040771484375,
0.08935546875,
0.0498046875,
0.0191650390625,
-0.0025787353515625,
0.07470703125,
0.0419921875,
-0.02099609375,
-0.01129150390625,
0.01080322265625,
0.03173828125,
0.08740234375,
-0.042724609375,
-0.01928710... | 31,234 | 31234 | |
Finding x and y
March 3rd 2010, 12:23 PM #1
Member
Joined
Dec 2008
Posts
105
Finding x and y
Hi,
I have two equations where I need to find x and y but I have no idea how.
$3e^x + 3xe^x - y^2 + 3y = 0$
and
$e^x(-2y + 3) + 3x - y^2 + 3y = 0$
I am unsure whether logs would be much u... | 4 | [
-0.043701171875,
-0.0419921875,
-0.025146484375,
-0.0244140625,
0.039794921875,
0.005828857421875,
-0.04541015625,
-0.052978515625,
0.01470947265625,
0.000751495361328125,
0.1455078125,
-0.08935546875,
0.03955078125,
-0.024658203125,
0.09228515625,
-0.050048828125,
-0.050048828125,
... | 31,235 | 31235 | |
Tricky First Order D.E
May 19th 2011, 07:23 AM #1
Member
Joined
Sep 2008
Posts
95
Tricky First Order D.E
I'm asked to solve the following D.E using an integrating factor:
$y(x^2+lny)dx + xdy = 0$
The problem is the equation is not only dependant on y but also ln(y), so I can't see how the usual... | 5 | [
-0.01495361328125,
-0.0250244140625,
0.11669921875,
0.058837890625,
0.0693359375,
0.034423828125,
-0.0029449462890625,
-0.056396484375,
-0.06884765625,
-0.0194091796875,
0.130859375,
-0.01068115234375,
-0.0159912109375,
0.057861328125,
0.01275634765625,
0.039306640625,
0.027587890625... | 31,236 | 31236 | |
5.1 Pollard's
Next: 5.2 Group theoretic method Up: 5 Factorisation and Certificates Previous: 5 Factorisation and Certificates
We saw that the trial division technique was undermined by the requirement of a large number of primes and the number of trials that need to be performed. While this made it slow for ``tes... | 4 | [
0.000118255615234375,
0.05224609375,
-0.03955078125,
-0.042724609375,
0.0966796875,
-0.0247802734375,
-0.0026397705078125,
0.0113525390625,
-0.04541015625,
0.006072998046875,
0.01611328125,
0.06884765625,
0.052001953125,
0.01519775390625,
-0.0107421875,
-0.04296875,
-0.053466796875,
... | 31,237 | 31237 | |
Optimization of Ni-Based WC/Co/Cr Composite Coatings Produced by Multilayer Laser Cladding
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 615464, 7 pages
http://dx.doi.org/10.1155/2013/615464
Research Article
Optimization of Ni-Based WC/Co/Cr Composite Coatings Produced by Multilayer Las... | 4 | [
-0.05419921875,
-0.0074462890625,
0.0223388671875,
-0.0277099609375,
-0.04638671875,
0.044921875,
0.08544921875,
-0.0034637451171875,
-0.0625,
-0.0498046875,
-0.08203125,
-0.0059814453125,
0.0262451171875,
0.010986328125,
-0.06298828125,
-0.025390625,
0.0250244140625,
-0.0140991210... | 31,238 | 31238 | |
Independent exponential R.V.
Last edited by Jason2009; May 7th 2009 at 01:51 AM.
The mean is: $E(Y)=E(a(b+c))=\frac{1}{8}\int_0^{\infty}\int_0^{\ infty}\int_0^{\infty} a(b+c) e^{-a/2}e^{-b/2}e^{-c/2} ~da~db~dc$ which you should be able to do easily (using $\overline{a}=\overline
{b}=\overline{c}=2$ ) Then You will ne... | 4 | [
-0.020263671875,
0.01507568359375,
0.034912109375,
-0.0159912109375,
-0.026611328125,
0.054443359375,
-0.033935546875,
0.00927734375,
0.031982421875,
0.01019287109375,
0.026123046875,
0.01123046875,
-0.0191650390625,
0.00836181640625,
-0.0017242431640625,
0.0224609375,
-0.07763671875... | 31,239 | 31239 | |
Linear equation to Inequality problem
May 28th 2008, 12:38 PM
Bica
Linear equation to Inequality problem
I've done all these sections already and am stuck on Part 4. The other parts are necessary though so you can figure out Part 4.
Part 1
Band A charges $600 to play for the evening. Band B charges $350... | 4 | [
0.007659912109375,
0.04931640625,
-0.0322265625,
-0.07958984375,
-0.1083984375,
0.04443359375,
0.0130615234375,
0.00104522705078125,
-0.1005859375,
0.140625,
-0.03466796875,
-0.091796875,
0.08642578125,
0.0257568359375,
0.028076171875,
0.07861328125,
-0.00677490234375,
-0.08984375,... | 31,240 | 31240 | |
discriminant?!!!
October 24th 2006, 03:11 PM #1
Newbie
Joined
Oct 2006
Posts
3
use the discriminant to find the range of values that K can take if the equation K $x^2$-4x+5-K=0 has no real roots
You must solve the following for K.
$b^2 - 4ac < 0 \Rightarrow 16 - 4(k)(5 - k) < 0$
soo... are ... | 4 | [
-0.0247802734375,
0.049072265625,
0.0118408203125,
-0.08349609375,
-0.08251953125,
0.09423828125,
0.049560546875,
0.025146484375,
-0.0098876953125,
0.0771484375,
0.06591796875,
-0.03076171875,
0.02783203125,
0.10693359375,
-0.0556640625,
0.10498046875,
0.0181884765625,
0.0056152343... | 31,241 | 31241 | |
Linear Interpolation Question
May 15th 2009, 02:19 PM
mhartman
Linear Interpolation Question
Hello:
The formula: y1 * (1-x) + y2 * x is a Linear Interpolation formula. I am trying to understand if this formula will yield the middle values between two points such as: Point 1: (5,10 ) and Point
2: (20,15)
... | 4 | [
-0.09765625,
0.00128936767578125,
-0.01287841796875,
-0.107421875,
0.058349609375,
0.002777099609375,
0.0010833740234375,
0.05419921875,
-0.0230712890625,
-0.05224609375,
0.026123046875,
0.00360107421875,
0.0654296875,
-0.0031585693359375,
0.0458984375,
0.115234375,
-0.05224609375,
... | 31,242 | 31242 | |
Integrating factor in optimal control theory
June 4th 2010, 03:27 PM #1
Integrating factor in optimal control theory
Hey guys,
This is an optimal control problem for an econ class but it is the maths behind it I am struggling with - so have left the context out. I have derived two differential equations in m... | 5 | [
0.0037994384765625,
0.0286865234375,
-0.006103515625,
0.0277099609375,
-0.0263671875,
0.07470703125,
0.0225830078125,
0.04150390625,
0.06494140625,
0.12353515625,
0.091796875,
-0.032470703125,
0.02685546875,
0.052001953125,
-0.00104522705078125,
0.02587890625,
0.02490234375,
0.0454... | 31,243 | 31243 | |
Homework Help
Posted by Elizabeth on Tuesday, October 7, 2008 at 4:20pm.
How do I use the chain rule to find the derivative of
square root(1-x^2)
also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?? i'm having trouble discerning when both the cha... | 5 | [
0.00054931640625,
-0.052490234375,
0.080078125,
0.00994873046875,
-0.01434326171875,
-0.08349609375,
-0.0306396484375,
-0.00347900390625,
0.03076171875,
0.05322265625,
0.0281982421875,
0.0284423828125,
0.041748046875,
0.0166015625,
-0.00933837890625,
0.10009765625,
-0.07861328125,
... | 31,244 | 31244 | |
mod equations problem...
June 7th 2008, 09:35 AM
aurora
mod equations problem...
Hi!
I need to prove that there is *no* solution to the equation:
x^2 + y^2 = 3(mod4)
I tried to assume there is a solution, meaning, there are X,Y in Z so that:
x^2 + y^2 = 3 + 4*k.
I tried to reach a contradic... | 4 | [
-0.00933837890625,
0.005096435546875,
-0.07421875,
0.021484375,
0.0189208984375,
-0.035400390625,
0.0654296875,
-0.036865234375,
0.0263671875,
-0.060791015625,
0.0220947265625,
-0.0123291015625,
0.014404296875,
0.027587890625,
-0.027099609375,
0.03173828125,
-0.00191497802734375,
-... | 31,245 | 31245 | |
fastest way to solve:
July 30th 2010, 08:46 AM
sfspitfire23
fastest way to solve:
Given $N = 10^{22} + 1$. If ‘N’ is divided by 11, then
Col A: The remainder
Col B: 2
This is a gre math Q. Would the fastest way to solve be to recognize that for every even power of 10, there is a remainder of 1 when ... | 4 | [
-0.115234375,
0.021240234375,
-0.0576171875,
-0.0189208984375,
0.058349609375,
-0.051513671875,
0.048583984375,
0.0361328125,
-0.0169677734375,
-0.0245361328125,
-0.019775390625,
0.031005859375,
0.002471923828125,
0.1015625,
-0.036865234375,
-0.06982421875,
-0.035888671875,
0.06347... | 31,246 | 31246 | |
Infinite surds - expression for which the exact value is an integer
August 25th 2008, 01:35 AM
starvin-marvin
Infinite surds - general statement for integer exact surd values
For the surd
$a_n = \sqrt{k + \sqrt{k + \sqrt{k + \sqrt{k + ....... \infty }}}}$
therefore
$x = ({1+\sqrt{1+4k}}){/2}$
... | 4 | [
-0.039306640625,
-0.050537109375,
0.0322265625,
0.058349609375,
-0.060546875,
-0.005279541015625,
0.048828125,
0.02734375,
0.0439453125,
-0.0010833740234375,
0.003631591796875,
0.040771484375,
-0.0101318359375,
0.01422119140625,
-0.0576171875,
0.01171875,
0.002838134765625,
-0.0220... | 31,247 | 31247 | |
Design of Small Groups
It's a common classroom game for gradeschoolers and yet it contains a profoundly powerful problem solving strategy which can be used to de-bug software, troubleshoot equipment and solve problems in
business and industry. In the game one child picks an object and everyone else has 20 questions to ... | 5 | [
0.033447265625,
0.1240234375,
-0.0380859375,
-0.040771484375,
-0.00457763671875,
-0.031005859375,
0.02001953125,
0.043212890625,
-0.0308837890625,
0.050048828125,
-0.0211181640625,
0.0211181640625,
0.054931640625,
-0.01904296875,
-0.052978515625,
0.0286865234375,
0.0167236328125,
0... | 31,248 | 31248 | |
Warped Product Submanifolds of Riemannian Product Manifolds
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 724898, 12 pages
http://dx.doi.org/10.1155/2012/724898
Research Article
Warped Product Submanifolds of Riemannian Product Manifolds
^1Department of Mathematics, King Abdulaziz University, P.O. Box... | 5 | [
-0.06396484375,
-0.0211181640625,
0.04443359375,
-0.05615234375,
0.0245361328125,
0.00177001953125,
0.0291748046875,
0.083984375,
0.01312255859375,
-0.0830078125,
0.000804901123046875,
0.06787109375,
0.004302978515625,
-0.0302734375,
-0.03857421875,
0.0177001953125,
-0.0302734375,
... | 31,249 | 31249 | |
Oblivious Transfer Protocol from Bilinear Pairing
Advances in Multimedia
Volume 2012 (2012), Article ID 630610, 9 pages
http://dx.doi.org/10.1155/2012/630610
Research Article
A Novel k-out-of-n Oblivious Transfer Protocol from Bilinear Pairing
Department of Information Management, Nanhua University, No. 55, Section... | 4 | [
-0.10302734375,
0.06201171875,
-0.0240478515625,
-0.055908203125,
-0.0014190673828125,
-0.024658203125,
0.05615234375,
-0.059326171875,
0.1240234375,
-0.021240234375,
0.00177001953125,
0.07861328125,
0.060302734375,
-0.046875,
-0.00921630859375,
0.03857421875,
-0.0281982421875,
0.0... | 31,250 | 31250 | |
integration homework help
I rewrote this as = t(t - 4)^1/3.... do I combine them and integrate after?
Integration by parts, like the other one i commented on u(x)=(t-4)^(1/3), v(x)=t :D
$\int t \sqrt[3]{t-4} \, dt$ $u = t-4$ $t = u+4$ $du = dt$ substitute ... $\int (u+4) \cdot \sqrt[3]{u} \, du$ can you finish?
this... | 5 | [
0.0274658203125,
-0.0235595703125,
0.006500244140625,
0.0003910064697265625,
-0.060791015625,
0.000736236572265625,
-0.02685546875,
-0.050048828125,
0.00531005859375,
-0.01458740234375,
0.03955078125,
-0.02880859375,
-0.046875,
0.057373046875,
-0.0274658203125,
-0.0201416015625,
0.02... | 31,251 | 31251 | |
invertible matrices
July 21st 2005, 07:23 AM #1
Newbie
Joined
Jul 2005
Posts
3
Please help!
Suppose A,B,& X are n by n matrices, with A, X, & A-AX invertable, & suppose:
(A-AX)^-1=X^-1*B
I know B is invertable
But I can't solve for X.
Any Help
Suppose (A-AX)^-1=X^-1*B.
Mu... | 5 | [
-0.1181640625,
-0.0296630859375,
-0.048828125,
0.0458984375,
-0.0341796875,
-0.047607421875,
0.08203125,
-0.07275390625,
-0.0966796875,
-0.072265625,
0.07958984375,
-0.004730224609375,
0.061279296875,
-0.03564453125,
-0.040771484375,
0.06396484375,
0.005035400390625,
-0.083984375,
... | 31,252 | 31252 | |
Similar matrices
April 9th 2011, 07:03 AM #1
Similar matrices
Show that $A$ and $B$ are similar by finding $M$ so that $B=M^{-1}AM$.
$A=\left[ \begin{array}{cc} 1 & 0 \\ 1 & 0 \end{array} \right]$
$B=\left[ \begin{array}{cc} 1 & 0 \\ 0 & 0 \end{array} \right]$
Well, define $\displaystyle M = \left[... | 5 | [
-0.06201171875,
-0.0048828125,
-0.08740234375,
0.0205078125,
-0.08056640625,
-0.0810546875,
-0.0028076171875,
-0.0224609375,
-0.034423828125,
-0.0224609375,
0.07861328125,
-0.051513671875,
-0.00335693359375,
0.03125,
-0.048583984375,
0.1064453125,
0.0859375,
0.027587890625,
-0.03... | 31,253 | 31253 | |
Help simplifying with binomials
November 15th 2008, 11:09 AM #1
Newbie
Joined
Nov 2008
Posts
2
Help simplifying with binomials
I am actually differentiating functions, but I get stuck on the part involving simplifying. Below is what the book says, but I cannot follow how they got from the first to the se... | 4 | [
0.04833984375,
-0.0208740234375,
-0.01806640625,
0.09423828125,
-0.0194091796875,
0.0634765625,
0.048095703125,
-0.043212890625,
0.00592041015625,
0.061279296875,
0.023681640625,
-0.033935546875,
0.032958984375,
0.039306640625,
-0.0079345703125,
0.01544189453125,
-0.10498046875,
0.... | 31,254 | 31254 | |
Re: st: calculate alpha after polychoric factor analysis
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thre... | 4 | [
-0.0020599365234375,
-0.018798828125,
-0.00421142578125,
-0.02587890625,
0.0478515625,
0.087890625,
0.0030517578125,
0.026123046875,
-0.0177001953125,
0.048095703125,
0.042236328125,
0.033203125,
-0.0830078125,
0.0130615234375,
-0.046142578125,
0.035888671875,
-0.0023651123046875,
... | 31,255 | 31255 | |
Simultaneous equations?
June 24th 2008, 04:51 AM
fardeen_gen
Simultaneous equations?
Solve the simultaneous equations sin x. cos y = 1/4 & 3 tan x = tan y.
Ans: x = -π/6 + (k + l)π ; k,l belong to Z
y = 2π/3 + (k - l)π ; k, l belong to Z
The approach to the problem is very direct. There is no diffi... | 4 | [
-0.0595703125,
-0.003021240234375,
0.013427734375,
0.04931640625,
-0.019287109375,
0.0361328125,
0.017578125,
-0.0322265625,
0.01531982421875,
-0.00799560546875,
0.0634765625,
0.0299072265625,
0.008544921875,
0.039794921875,
0.004180908203125,
0.02392578125,
-0.046875,
-0.021850585... | 31,256 | 31256 | |
Factoring the difference of two perfect squares
June 1st 2008, 05:15 PM #1
Factoring the difference of two perfect squares
The author starts by giving the example $25z^2 - 81y^2$, which equals $(5z + 9y) (5z - 9y)$.
Both 81, and 25 are perfect squares so this makes sense.
$\sqrt{25} = 5*5, \sqrt{9} = 3*... | 4 | [
0.033203125,
-0.00146484375,
0.026611328125,
0.036865234375,
0.07080078125,
0.01171875,
-0.06494140625,
0.01007080078125,
-0.0155029296875,
-0.0380859375,
0.060791015625,
0.10693359375,
0.01263427734375,
0.02099609375,
0.048828125,
0.0830078125,
-0.05224609375,
0.009521484375,
-0... | 31,257 | 31257 | |
show the map is a bijection
September 10th 2011, 07:05 PM #1
Junior Member
Joined
Sep 2010
Posts
36
show the map is a bijection
Let $\phi : \mathbb{R}^2 \rightarrow \mathbb{R}^3$, so:
$(u,v) \rightarrow (u^3,u+v^3,v)$
Show this is a homeomorphism:
To show injectivity: We want to show that:... | 5 | [
0.04833984375,
-0.0028228759765625,
-0.02197265625,
-0.043701171875,
0.031494140625,
-0.020263671875,
-0.0010986328125,
-0.07373046875,
-0.021240234375,
-0.07666015625,
0.033935546875,
-0.02294921875,
-0.119140625,
-0.0096435546875,
-0.005279541015625,
-0.08154296875,
-0.0478515625,
... | 31,258 | 31258 | |
Optimal Control Strategy for SEIR with Latent Period and a Saturated Incidence Rate
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 706848, 4 pages
http://dx.doi.org/10.1155/2013/706848
Research Article
Optimal Control Strategy for SEIR with Latent Period and a Saturated Incidence Rate
^1Department of Mathem... | 4 | [
-0.037841796875,
0.002197265625,
0.0242919921875,
0.031494140625,
0.007049560546875,
-0.03759765625,
-0.01336669921875,
0.0279541015625,
0.1005859375,
0.076171875,
0.039794921875,
0.050048828125,
0.1298828125,
-0.0439453125,
0.00732421875,
-0.023681640625,
0.02197265625,
-0.0454101... | 31,259 | 31259 | |
Frequency modulation synthesis in series
February 18th 2010, 09:35 AM #1
Newbie
Joined
Oct 2009
Posts
14
Frequency modulation synthesis in series
Hello there, I'm currently working on a project about the mathematics of FM synthesis (for a general overview see the relevant chapter in ☮ Music: a Mathematic... | 4 | [
-0.11376953125,
0.00897216796875,
-0.0029754638671875,
-0.01544189453125,
-0.06640625,
0.05126953125,
-0.0079345703125,
0.00836181640625,
-0.00732421875,
0.020751953125,
0.06884765625,
-0.07470703125,
0.037841796875,
-0.0439453125,
0.016357421875,
0.00927734375,
-0.051513671875,
0.... | 31,260 | 31260 | |
Last 2 digits of 3^400
October 2nd 2009, 02:06 PM #1
Newbie
Joined
Oct 2009
Posts
14
Last 2 digits of 3^400
Hello. I want to find the last 2 digits of 3^400 using modular arithmetic. What I have so far...
3^20 congruent to 1 (mod 25) using Euler's theorem.
3^2 congruent to 1 (mod 4) using Euler'... | 4 | [
0.01300048828125,
0.005523681640625,
-0.01361083984375,
-0.03466796875,
0.05810546875,
-0.0308837890625,
0.0703125,
0.08642578125,
0.0145263671875,
0.04296875,
0.03466796875,
0.01007080078125,
0.04248046875,
0.049072265625,
0.01470947265625,
0.0157470703125,
-0.0888671875,
0.037353... | 31,261 | 31261 | |
An Integrated Model for Production Planning and Cell Formation in Cellular Manufacturing Systems
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 487694, 10 pages
http://dx.doi.org/10.1155/2013/487694
Research Article
An Integrated Model for Production Planning and Cell Formation in Cellular Manufacturi... | 4 | [
-0.06005859375,
0.03515625,
0.01470947265625,
-0.05224609375,
-0.09912109375,
-0.060302734375,
-0.05712890625,
0.07275390625,
0.019287109375,
0.0703125,
-0.0025482177734375,
0.00616455078125,
0.0625,
0.033203125,
-0.052978515625,
-0.0791015625,
-0.0262451171875,
-0.040771484375,
... | 31,262 | 31262 | |
Austenite Grain Growth Behavior of AISI 4140 Alloy Steel
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 762890, 7 pages
http://dx.doi.org/10.1155/2013/762890
Research Article
Austenite Grain Growth Behavior of AISI 4140 Alloy Steel
^1School of Mechanical and Electronic Engineering, Wuhan Universit... | 4 | [
-0.109375,
0.0185546875,
0.017578125,
0.01025390625,
-0.019287109375,
-0.060302734375,
-0.0013275146484375,
0.064453125,
-0.05078125,
-0.0218505859375,
-0.0191650390625,
-0.0196533203125,
0.033203125,
-0.0244140625,
-0.072265625,
0.0262451171875,
0.04443359375,
0.00115966796875,
... | 31,263 | 31263 | |
Homework Help
Posted by Sam on Thursday, March 17, 2011 at 2:43am.
For the function y=(e^2x)+(3x)-(10), use Newton's method and the calculator method to find the x value for which y=15. Please show your work so that I can understand the question! Thank you so much!!
it means alot!!
• Calculus! - Reiny, Thursday, Ma... | 5 | [
-0.0625,
-0.000934600830078125,
0.04541015625,
-0.09814453125,
0.043701171875,
0.00848388671875,
-0.0498046875,
0.049072265625,
-0.021728515625,
0.06689453125,
0.16015625,
-0.11328125,
0.040771484375,
-0.01226806640625,
0.0242919921875,
0.01312255859375,
-0.06494140625,
-0.01544189... | 31,264 | 31264 | |
roll theorem question..
February 2nd 2009, 11:08 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
roll theorem question..
i am given that
$<br /> \frac{{a_0 }}{{n + 1}} + \frac{{a_1 }}{n} + \frac{{a_2 }}{{n - 1}} + .. + a_n = 0 \\<br />$
prove that there is a solution for 0<x<1
using roll th... | 4 | [
-0.125,
-0.0162353515625,
0.0228271484375,
0.0654296875,
-0.044677734375,
-0.0211181640625,
-0.0096435546875,
0.006439208984375,
0.04443359375,
0.008056640625,
0.0302734375,
-0.0537109375,
0.0458984375,
-0.0137939453125,
-0.03759765625,
0.0654296875,
-0.0125732421875,
-0.0607910156... | 31,265 | 31265 | |
Mid-Terms Review
January 18th 2008, 04:52 PM
topsquark
I will do the first, you do the second.
$32^{3/5} \cdot a^{-2/3} \cdot b^2 \div (216a^4b^2)^{1/3}$
The first step is to write this thing out as a single fraction:
$= \frac{32^{3/5} \cdot a^{-2/3} \cdot b^2}{(216a^4b^2)^{1/3}}$
The next step ... | 4 | [
-0.013671875,
0.01470947265625,
-0.056640625,
-0.006134033203125,
-0.10498046875,
-0.042236328125,
-0.0458984375,
-0.060302734375,
0.08740234375,
0.0277099609375,
-0.011474609375,
-0.042724609375,
0.01458740234375,
0.02734375,
0.03515625,
0.12890625,
-0.0595703125,
0.05908203125,
... | 31,266 | 31266 | |
Convergence in sequences of sequences
October 18th 2010, 05:26 AM #1
Junior Member
Joined
Dec 2009
Posts
32
Convergence in sequences of sequences
Hi,
I'm stuck on this problem:
Let $(X, \| . \|_{\infty} )$ be a normed vector space of complex sequences $( \alpha_{j} )$ that converge to zero, wit... | 4 | [
-0.035400390625,
-0.031005859375,
-0.057373046875,
0.032958984375,
0.007049560546875,
0.07177734375,
0.09814453125,
-0.0277099609375,
0.0086669921875,
-0.09521484375,
0.04345703125,
0.0546875,
-0.0301513671875,
-0.017333984375,
-0.034912109375,
-0.019287109375,
-0.0029296875,
-0.03... | 31,267 | 31267 | |
Please Help
April 22nd 2008, 04:00 PM
anime_maniac20
Please Help
I have to learn how do roots without a calculator and one of the practice problems i get was 12 root of 64 equal square root of two.How could i figure out problems like these without a
calculator?Also what is (n^3m^9)^1/2?
April 22nd 2008, 04:... | 4 | [
0.051513671875,
0.01470947265625,
-0.11181640625,
0.09375,
-0.023193359375,
-0.05224609375,
-0.04296875,
0.0262451171875,
-0.01165771484375,
0.00823974609375,
-0.00640869140625,
0.0634765625,
0.0022125244140625,
-0.0166015625,
0.021484375,
0.052734375,
-0.1259765625,
0.04443359375,... | 31,268 | 31268 | |
Sequence cube sums
November 26th 2011, 11:27 AM #1
Junior Member
Joined
Sep 2011
Posts
33
Sequence cube sums
Having a finite sequence of numbers given, we create a new sequence by inputting in each step between every pair of two adjacent numbers a new number equal to their sum. We start with (1,1), in
... | 4 | [
-0.111328125,
-0.007568359375,
-0.044921875,
0.006072998046875,
-0.032470703125,
-0.0157470703125,
-0.0025482177734375,
-0.021728515625,
0.010986328125,
-0.0888671875,
-0.0927734375,
0.007568359375,
0.037353515625,
-0.0185546875,
-0.0198974609375,
-0.02783203125,
0.0028533935546875,
... | 31,269 | 31269 | |
Some New Sets and Topologies in Ideal Topological Spaces
Chinese Journal of Mathematics
Volume 2013 (2013), Article ID 973608, 6 pages
http://dx.doi.org/10.1155/2013/973608
Research Article
Some New Sets and Topologies in Ideal Topological Spaces
^1Department of Mathematics, Sathyabama University, Chennai, Tamil Nad... | 4 | [
-0.0771484375,
0.0205078125,
-0.0361328125,
-0.0081787109375,
-0.0147705078125,
0.011474609375,
0.05859375,
0.01080322265625,
0.0244140625,
-0.0294189453125,
-0.0057373046875,
-0.06103515625,
0.087890625,
-0.0517578125,
0.048828125,
-0.047119140625,
-0.01068115234375,
-0.0541992187... | 31,270 | 31270 | |
Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 402031, 12 pages
http://dx.doi.org/10.1155/2013/402031
Research Article
Synchronization in Array of Coupled Neural Networks with Unbound... | 4 | [
-0.06591796875,
-0.0390625,
-0.00714111328125,
0.037841796875,
-0.0198974609375,
0.00445556640625,
-0.026611328125,
-0.130859375,
0.06103515625,
-0.09423828125,
0.01495361328125,
0.09423828125,
-0.007171630859375,
-0.07763671875,
-0.07861328125,
0.000873565673828125,
0.0242919921875,... | 31,271 | 31271 | |
Raising complex numbers to a power
October 9th 2013, 07:02 PM #1
Junior Member
Joined
Jan 2013
From
Montreal
Posts
65
Thanks
1
Raising complex numbers to a power
Hi,
I'm using j when I know some textbooks use i, I'm not sure what the difference is if there is any.
I have the question (4... | 4 | [
-0.0625,
0.0634765625,
0.0230712890625,
0.07861328125,
-0.0859375,
-0.035400390625,
0.01531982421875,
0.0556640625,
0.0306396484375,
-0.032958984375,
0.0556640625,
0.046630859375,
0.02392578125,
0.1162109375,
0.02001953125,
0.03955078125,
-0.044921875,
0.09423828125,
-0.135742187... | 31,272 | 31272 | |
Problem on Quotient Groups and First Isomorphism Theorem
April 8th 2013, 08:57 AM #1
Newbie
Joined
Nov 2011
Posts
20
Problem on Quotient Groups and First Isomorphism Theorem
Q: Let P be a partition of a group G with the property that for any pair of elements A, B of the partition, the product set AB is c... | 5 | [
-0.07275390625,
0.029296875,
0.061767578125,
-0.043701171875,
-0.0098876953125,
-0.012451171875,
0.10009765625,
0.0125732421875,
-0.059326171875,
-0.08837890625,
-0.0286865234375,
0.0027313232421875,
-0.05615234375,
-0.023681640625,
-0.007171630859375,
-0.01312255859375,
0.0634765625... | 31,273 | 31273 | |
Probit/Logit Marginal Effects in R
The common approach to estimating a binary dependent variable regression model is to use either the logit or probit model. Both are forms of generalized linear models (GLMs), which can be seen as
modified linear regressions that allow the dependent variable to originate from non-norm... | 5 | [
0.009033203125,
-0.0390625,
-0.076171875,
-0.051025390625,
0.0947265625,
-0.01513671875,
0.01025390625,
0.064453125,
0.04541015625,
0.10205078125,
0.027587890625,
0.018310546875,
0.03173828125,
0.026611328125,
0.0751953125,
-0.0152587890625,
0.05126953125,
0.0028533935546875,
-0.... | 31,274 | 31274 | |
the encyclopedic entry of Lebesgue's dominated convergence theorem
In
measure theory
, a branch of
mathematical analysis
,
Lebesgue
's
dominated convergence theorem
provides
sufficient conditions
under which two
limit processes
commute, namely
Lebesgue integration
and
pointwise convergence
for a
sequen... | 4 | [
-0.091796875,
-0.09033203125,
0.00482177734375,
-0.08203125,
0.11376953125,
0.02099609375,
0.09375,
0.0712890625,
-0.020751953125,
-0.05224609375,
-0.0458984375,
0.07470703125,
0.0634765625,
-0.03173828125,
-0.0145263671875,
-0.1181640625,
0.06494140625,
-0.0015869140625,
-0.0576... | 31,275 | 31275 | |
Discrete Math - Cardinals
August 23rd 2009, 08:36 AM
adam63
Discrete Math - Cardinals
Let 'A' be a set of open lines on the real axis, so that every two lines in this group are disjoint. Prove that |A| is lower or equal to 'Alef 0' (the cardinal number of the Natural numbers - |N|
='Alef 0' )
Clue: Thin... | 5 | [
-0.033935546875,
0.03759765625,
-0.0025634765625,
-0.02490234375,
-0.032470703125,
0.0927734375,
0.060302734375,
0.01239013671875,
0.02880859375,
0.0036773681640625,
-0.064453125,
-0.0322265625,
0.004302978515625,
-0.00732421875,
-0.0634765625,
0.0301513671875,
-0.08154296875,
-0.1... | 31,276 | 31276 | |
Technical Notes: Calculating Pressure Drop - Runtal Radiators
How To Determine Flow Rates
The flow rate through a Runtal radiator (or series of radiators) is dependent on the length of the radiator (or combined length of the radiator... | 5 | [
-0.00604248046875,
0.01470947265625,
0.0079345703125,
-0.00482177734375,
0.0302734375,
-0.050537109375,
-0.05517578125,
0.076171875,
0.0020751953125,
-0.09619140625,
-0.064453125,
-0.08251953125,
0.08740234375,
-0.0849609375,
0.0157470703125,
-0.01153564453125,
-0.048828125,
-0.016... | 31,277 | 31277 | |
Algebra, Solving equations
Posted by Amy on Saturday, April 21, 2007 at 11:45am.
I'm stuck with this equation:
y = (4x-1)/(2x+3)
We're working on inverses, which I understand, but my mind is blanking on how to solve this for x.
Thanks in advance,
Amy :)
after you interchanged the x and y variables, and expanded y... | 4 | [
-0.09423828125,
-0.040283203125,
-0.00041961669921875,
0.0201416015625,
-0.00921630859375,
0.0284423828125,
0.0091552734375,
0.045166015625,
0.003936767578125,
-0.0301513671875,
0.076171875,
-0.04248046875,
0.017578125,
0.06201171875,
0.01263427734375,
0.08935546875,
-0.046630859375,... | 31,278 | 31278 | |
Minimum Distance from Point to Curve
March 25th 2010, 05:06 PM #1
Minimum Distance from Point to Curve
Hi
I have been attempting this question, but i do no know how to continue...
Determine the minimal distance from the point (0,4) to the curve y = 8 - x^2
I know the distance formula is $D = \sqrt{(... | 4 | [
0.053955078125,
-0.01953125,
-0.01141357421875,
-0.06689453125,
-0.035400390625,
-0.026123046875,
-0.051513671875,
0.1796875,
0.061279296875,
-0.037109375,
0.0693359375,
0.00004482269287109375,
-0.0164794921875,
0.04931640625,
-0.06640625,
0.09033203125,
0.0201416015625,
-0.0427246... | 31,279 | 31279 | |
find expression for revenue, given demand function
demand is given by q=(15000-1.5p)^(1/2) or the square root of (15000-1.5p)
In terms of the demand q, find an expression for the revenue
first I solved for p and got p= (15000-q^2)/1.5 then do I just multiply by the variable "q" and get (15000q-q^3)/1.5
I know that th... | 4 | [
-0.0267333984375,
0.07177734375,
0.00244140625,
-0.039306640625,
-0.115234375,
-0.0235595703125,
-0.0006256103515625,
0.0216064453125,
0.08447265625,
0.050048828125,
0.0211181640625,
-0.044677734375,
0.06494140625,
0.1142578125,
0.045166015625,
0.0478515625,
-0.037841796875,
0.0038... | 31,280 | 31280 | |
Continuity on M
April 6th 2010, 11:21 AM #1
Junior Member
Joined
Apr 2010
Posts
43
Continuity on M
Fix a point a in a metric space (M,d), and define f:M->R by f(x)=d(x,a). Show f is continuous on M.
I took a sequence Xn->x in (M,d)
So f(Xn)=d(Xn,a)
taking the limit, f(Xn)->d(x,a)=f(x)
Si... | 5 | [
-0.014892578125,
-0.0458984375,
-0.029296875,
-0.12158203125,
-0.0018157958984375,
0.1025390625,
0.0751953125,
0.03857421875,
0.000797271728515625,
-0.018798828125,
0.0859375,
-0.00799560546875,
0.0068359375,
0.056884765625,
0.0419921875,
0.0179443359375,
0.0264892578125,
-0.036376... | 31,281 | 31281 | |
first order pde
March 18th 2012, 04:15 AM #1
Newbie
Joined
Mar 2012
From
Canada
Posts
1
first order pde
Hi, need some help here so thanks to any replies.
PDE: $yu_x+2xyu_y=y^2$
a) characteristic equations:
$dx/ds=y$, $dy/ds=2xy$, $du/ds=y^2$
b) find dy/dx and solve
$dy/dx=dy/d... | 5 | [
-0.0888671875,
-0.04443359375,
0.1015625,
0.00946044921875,
0.0234375,
0.04736328125,
-0.10595703125,
-0.003997802734375,
-0.00836181640625,
-0.0263671875,
0.11572265625,
-0.0303955078125,
-0.107421875,
0.0208740234375,
-0.001983642578125,
0.0150146484375,
0.033935546875,
-0.003829... | 31,282 | 31282 | |
Optimal Policies for a Finite-Horizon Production Inventory Model
Advances in Operations Research
Volume 2012 (2012), Article ID 768929, 16 pages
http://dx.doi.org/10.1155/2012/768929
Research Article
Optimal Policies for a Finite-Horizon Production Inventory Model
Department of Statistics and Operations Research, Co... | 5 | [
-0.055419921875,
0.025390625,
0.0091552734375,
0.029541015625,
-0.068359375,
-0.03662109375,
-0.062255859375,
-0.0203857421875,
0.034912109375,
0.080078125,
0.038818359375,
0.01611328125,
0.012451171875,
0.035888671875,
-0.017822265625,
-0.03515625,
0.0301513671875,
-0.0791015625,
... | 31,283 | 31283 | |
Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 601325, 13 pages
http://dx.doi.org/10.1155/2013/601325
Research Article
Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations
School of Mathematics ... | 5 | [
-0.10205078125,
0.060791015625,
0.045166015625,
-0.0091552734375,
0.039306640625,
0.059814453125,
-0.03857421875,
-0.042724609375,
-0.00634765625,
-0.01483154296875,
0.10595703125,
-0.0299072265625,
0.004241943359375,
-0.05908203125,
0.046630859375,
0.01190185546875,
-0.06201171875,
... | 31,284 | 31284 | |
Abstract problems - rings
March 1st 2009, 02:22 AM #1
Junior Member
Joined
Nov 2008
Posts
45
Abstract problems - rings
Hi,
1. Let E denote the set of even integers. Prove that with the usual addidion, and with multiplication defined by m*n=(1/2)mn, E is a ring. Is there a unity?
2. Prove that a... | 4 | [
-0.057861328125,
0.0634765625,
-0.04541015625,
0.05322265625,
-0.09228515625,
-0.022705078125,
0.0771484375,
-0.005096435546875,
-0.0498046875,
-0.060791015625,
-0.04443359375,
-0.1083984375,
0.03125,
-0.04052734375,
0.010009765625,
0.039306640625,
0.00701904296875,
0.044921875,
... | 31,285 | 31285 | |
Relative Risk and the Odds Ratio
MATH 2441 Probability and Statistics for Biological Sciences
Relative Risk and the Odds Ratio
Review: The Purpose of Estimating the Difference of Two Population Proportions
Primary Outcomes and Risk Factors
Experimental vs. Observational Studies
Prospective vs. Retrospective S... | 5 | [
0.039794921875,
0.0419921875,
-0.032958984375,
0.0673828125,
0.04931640625,
0.02197265625,
-0.06591796875,
0.0908203125,
0.06298828125,
0.052978515625,
0.0693359375,
-0.09375,
0.032958984375,
0.01202392578125,
-0.05029296875,
-0.014404296875,
-0.046875,
0.00982666015625,
-0.00291... | 31,286 | 31286 | |
Help on Proofs (Rules of Inference)
March 25th 2010, 05:16 PM
California99
Help on Proofs (Rules of Inference)
I'm having a lot of trouble with proofs and rules of inference, If somebody could talk me through each of these problems I will be grateful. Proofs are very interesting to me and I know I need
pract... | 4 | [
-0.0830078125,
0.040771484375,
0.04638671875,
-0.00165557861328125,
0.0625,
0.1396484375,
0.0186767578125,
0.04541015625,
0.0250244140625,
0.13671875,
-0.02392578125,
0.064453125,
0.0771484375,
0.1064453125,
0.0286865234375,
0.006500244140625,
-0.0150146484375,
0.00946044921875,
... | 31,287 | 31287 | |
graph under intervals
July 2nd 2011, 07:51 AM
vidhi96
graph under intervals
I don't even know what to call this - and I am bit baffled by the question:
Q) explain why the graph of the function f(x)=(4-x)In(1/2*x) lies above the x- aixs for (2<x<4) and below the x-axis for 4<x<6.
does this mean x= 3 and ... | 5 | [
0.03857421875,
-0.028076171875,
0.03564453125,
-0.07275390625,
-0.01019287109375,
-0.06494140625,
-0.036376953125,
0.08642578125,
0.044677734375,
0.021728515625,
0.0125732421875,
-0.029052734375,
0.0240478515625,
-0.01068115234375,
0.08154296875,
0.06640625,
-0.038330078125,
-0.121... | 31,288 | 31288 | |
Math Help
How many distinct subgroups does Z/36Z have? How would I begin solving this?
things to remember with cyclic groups: 1) every subgroup is cyclic. 2) if G is cyclic of order n, and k divides n, G has a UNIQUE subgroup of order k (so it has one, and only one, for each divisor k
of n). in particular, if G = <a>... | 4 | [
0.0252685546875,
-0.00592041015625,
-0.030517578125,
-0.04736328125,
-0.03271484375,
-0.08203125,
0.0286865234375,
0.01446533203125,
-0.052001953125,
-0.00823974609375,
-0.00396728515625,
0.022216796875,
0.05712890625,
-0.07080078125,
-0.01544189453125,
0.0081787109375,
-0.0256347656... | 31,289 | 31289 | |
General Solution for the characteristics of 2 quasi linear PDE's
August 10th 2010, 01:19 PM #1
General Solution for the characteristics of 2 quasi linear PDE's
Hi all,
I am stuck on how the general solutions where obtained for the following quasi linear PDE's. I understand this to be quasi linear because the... | 5 | [
-0.1328125,
-0.03271484375,
0.0869140625,
-0.01300048828125,
0.049560546875,
-0.016357421875,
0.0260009765625,
-0.0252685546875,
-0.0615234375,
-0.0361328125,
0.146484375,
-0.095703125,
-0.02392578125,
-0.032958984375,
0.0703125,
-0.01708984375,
-0.00921630859375,
-0.043701171875,
... | 31,290 | 31290 | |
the encyclopedic entry of Amdahl's Law
Amdahl's law, also known as Amdahl's argument, is named after computer architect Gene Amdahl, and is used to find the maximum expected improvement to an overall system when only part of the system is
improved. It is often used in parallel computing to predict the theoretical maxim... | 5 | [
-0.04150390625,
0.057861328125,
-0.044921875,
-0.01104736328125,
-0.00592041015625,
-0.0849609375,
-0.10888671875,
0.054443359375,
0.09228515625,
0.06201171875,
-0.0289306640625,
0.03662109375,
0.0186767578125,
-0.0654296875,
-0.035400390625,
0.005096435546875,
0.08154296875,
0.001... | 31,291 | 31291 | |
A Multilayer Hidden Markov Models-Based Method for Human-Robot Interaction
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 384865, 12 pages
http://dx.doi.org/10.1155/2013/384865
Research Article
A Multilayer Hidden Markov Models-Based Method for Human-Robot Interaction
Key Laboratory of Light Ind... | 4 | [
-0.07275390625,
-0.0152587890625,
0.04833984375,
-0.08935546875,
0.01251220703125,
-0.0014495849609375,
0.055419921875,
-0.02294921875,
0.0037384033203125,
-0.035400390625,
0.0654296875,
-0.051513671875,
0.06396484375,
0.02001953125,
0.042236328125,
0.00994873046875,
0.00282287597656... | 31,292 | 31292 | |
Homework Help
Posted by jenn on Monday, February 23, 2009 at 5:39pm.
the cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x) = 0.28x^2 - 0.7x + 1 where C(x) is the cost
per hour in thousands of dollars and x is the number ... | 4 | [
-0.032958984375,
0.0810546875,
0.0186767578125,
0.06494140625,
-0.0341796875,
-0.0062255859375,
-0.007476806640625,
0.07470703125,
-0.01904296875,
0.03662109375,
0.0242919921875,
-0.0791015625,
0.053466796875,
0.032470703125,
-0.09814453125,
0.00872802734375,
-0.056640625,
-0.02368... | 31,293 | 31293 | |
"Mathematical Logic" by Cori and Lascar: Incomplete proof of Lemma 1.9?
June 3rd 2011, 06:43 AM #1
Newbie
Joined
Jun 2011
Posts
10
"Mathematical Logic" by Cori and Lascar: Incomplete proof of Lemma 1.9?
I have a question on the book "Mathematical Logic: Propositional calculus, Boolean Algebras, predicate... | 4 | [
0.006500244140625,
0.056884765625,
0.10595703125,
0.0283203125,
0.08447265625,
0.09765625,
0.03125,
0.11962890625,
0.072265625,
0.038330078125,
-0.0003757476806640625,
-0.0252685546875,
-0.0155029296875,
-0.013916015625,
0.03515625,
0.0537109375,
-0.068359375,
-0.05029296875,
-0.... | 31,294 | 31294 | |
Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 493271, 17 pages
http://dx.doi.org/10.1155/2012/493271
Research Article
Monotone-Iterative Method for the Initial Value Problem wit... | 5 | [
-0.0947265625,
0.00604248046875,
0.08447265625,
-0.04931640625,
-0.083984375,
-0.03662109375,
-0.08349609375,
0.12158203125,
0.00897216796875,
0.025390625,
0.031005859375,
0.0625,
0.0155029296875,
0.05517578125,
-0.031982421875,
0.04052734375,
0.005828857421875,
-0.09130859375,
-... | 31,295 | 31295 | |
Boat Vectors
October 20th 2008, 07:52 AM #1
Boat Vectors
A ship currently at position a is sailing on a straight course with velocity u. Simultaneously a submarine at position b manoeuvres to intercept the ship. If the ship maintains its straight
course at all times, show that the intercept course is orthogon... | 4 | [
-0.030029296875,
-0.0220947265625,
-0.019775390625,
-0.111328125,
0.01519775390625,
0.041748046875,
-0.0341796875,
-0.02490234375,
-0.10107421875,
0.052490234375,
0.040283203125,
0.03759765625,
0.0185546875,
0.043212890625,
-0.07470703125,
0.14453125,
-0.01953125,
-0.026123046875,
... | 31,296 | 31296 | |
Homework Help
Posted by Me & u on Saturday, February 25, 2012 at 4:10pm.
Each side of a square is 20cm. Four points on the sides are joined as shown to form an inner square. What is the minimum area of the inner square?
Can anyone help with this using quadratics? Please!
• Math 12A - Steve, Saturday, February 25, ... | 4 | [
0.0732421875,
0.06298828125,
0.072265625,
-0.043701171875,
-0.017578125,
0.04052734375,
-0.006927490234375,
0.10498046875,
-0.060791015625,
-0.0255126953125,
0.0245361328125,
0.031005859375,
0.1025390625,
0.07958984375,
-0.006256103515625,
0.0576171875,
0.0517578125,
-0.02160644531... | 31,297 | 31297 | |
Just alittle help
August 21st 2009, 09:19 AM
NotThatGood
Just alittle help
-0.2x^2 + 12x +11 = 0
here is what I have done
-(12) + or - sqrt 12^2-4(-0.2)(11)/2(-0.2)
-12 + or - sqrt 144 +8.8/-0.4
-12 + or - sqrt 152.2/-0.4
at this point I am lost as to what to do next?
August 21st 2009, 11:... | 4 | [
-0.04248046875,
0.109375,
-0.018310546875,
0.01141357421875,
-0.0203857421875,
-0.0267333984375,
-0.035888671875,
0.0108642578125,
0.0106201171875,
-0.028564453125,
0.11767578125,
-0.007080078125,
-0.0106201171875,
0.0185546875,
-0.052490234375,
0.047607421875,
-0.0751953125,
0.006... | 31,298 | 31298 | |
Confusion regarding G-modules
January 13th 2010, 06:53 PM #1
Newbie
Joined
Aug 2009
Posts
11
Confusion regarding G-modules
The following question illustrates the confusion I have (from The Symmetric Group by Bruce Sagan):
Let $X$ be a reducible matrix representation with block form given by $\left(\... | 5 | [
-0.109375,
-0.031982421875,
-0.0098876953125,
0.08935546875,
-0.01422119140625,
0.0341796875,
-0.0059814453125,
-0.048095703125,
-0.01904296875,
-0.10205078125,
0.00001621246337890625,
-0.0206298828125,
-0.054443359375,
0.048583984375,
-0.033447265625,
0.0712890625,
0.060546875,
0.... | 31,299 | 31299 |