content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Period of sums/multiplied sines/cosines
July 10th 2011, 01:10 AM #1
Newbie
Joined
Jul 2011
Posts
5
Hello
I am trying to revise some rules regarding the period of sines (or cosines) when (a) they are added , and (b) they are multiplied. I haven't had too much luck Googling this topic.
For example... | 5 | [
-0.10205078125,
-0.0225830078125,
-0.0164794921875,
0.01953125,
-0.01806640625,
0.0537109375,
0.0120849609375,
-0.053955078125,
0.09130859375,
-0.01611328125,
0.10986328125,
-0.0654296875,
0.036865234375,
-0.0050048828125,
0.16015625,
-0.08740234375,
-0.06982421875,
0.052001953125,... | 26,100 | 26100 | |
3 Advanced Linear Algebra Proofs
January 28th 2009, 06:58 PM #1
Newbie
Joined
Sep 2008
From
Tennessee
Posts
11
3 Advanced Linear Algebra Proofs
I am so bad at proofs.
1) Prove that if S is a subset of a vector space V, then span(S) equals the intersection of all subspaces of V that contain S.
... | 4 | [
-0.04248046875,
-0.0186767578125,
0.064453125,
0.050537109375,
0.12353515625,
0.033935546875,
0.0703125,
-0.02880859375,
-0.040771484375,
0.017333984375,
-0.060791015625,
-0.00787353515625,
0.07958984375,
-0.052001953125,
-0.031982421875,
-0.047607421875,
0.018310546875,
-0.0084228... | 26,101 | 26101 | |
Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 202851, 6 pages
http://dx.doi.org/10.1155/2013/202851
Research Article
Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order
Department of Mathematics, Shandong... | 4 | [
-0.03173828125,
0.035888671875,
0.0751953125,
0.041259765625,
-0.0257568359375,
0.08056640625,
0.0311279296875,
0.033935546875,
-0.004486083984375,
0.0037689208984375,
0.07958984375,
0.023193359375,
-0.009521484375,
-0.012451171875,
-0.01153564453125,
0.0244140625,
-0.033935546875,
... | 26,102 | 26102 | |
Taylor Series Expansion of an eqn
March 5th 2009, 08:19 AM #1
Junior Member
Joined
Mar 2009
Posts
34
Taylor Series Expansion of an eqn
Hi, I am doing some work on density estimation using kernels and am looking at bias and variance in MISE to find optimal bandwidth. I have a book which deals with this bu... | 4 | [
-0.003143310546875,
0.0262451171875,
0.06884765625,
0.00909423828125,
0.040283203125,
-0.01116943359375,
0.052734375,
0.034423828125,
-0.005218505859375,
0.0458984375,
0.053955078125,
0.004058837890625,
0.0361328125,
-0.11962890625,
-0.045166015625,
-0.04443359375,
-0.005035400390625... | 26,103 | 26103 | |
Math Help
September 8th 2009, 05:38 AM #1
Senior Member
Joined
Jan 2009
Posts
381
trigo
Find the range of x :
$<br /> 0<2\cos(x+\frac{\pi}{6})<1<br />$
From the graphical method , i got
$\frac{\pi}{6}<x<\frac{\pi}{3}$ , $\frac{4\pi}{3}<x<\frac{3\pi}{2}$
My question is how to do it al... | 4 | [
-0.039306640625,
-0.004364013671875,
-0.00136566162109375,
-0.006317138671875,
-0.07958984375,
0.03515625,
-0.1279296875,
0.06884765625,
0.0206298828125,
-0.023681640625,
-0.0257568359375,
-0.0022125244140625,
0.03466796875,
-0.0703125,
0.056640625,
-0.0308837890625,
-0.0064697265625... | 26,104 | 26104 | |
Single Factor A
One Way ANOVA (Analysis of Variance)
Non-Statisticians Can Perform ANOVA Single-Factor Analysis in Excel Using the QI Macros
One-Way ANOVA Example
Imagine you manufacture paper bags and you want to improve the tensile strength of the bag. You suspect that changing the concentration of hardwood in th... | 4 | [
0.0213623046875,
-0.005584716796875,
-0.0203857421875,
0.042236328125,
-0.01190185546875,
0.01318359375,
-0.050537109375,
0.04931640625,
0.036865234375,
0.0012664794921875,
0.045654296875,
-0.07568359375,
-0.0032196044921875,
0.056640625,
-0.0269775390625,
0.018798828125,
0.115234375... | 26,105 | 26105 | |
Mean value theorum help?
April 20th 2010, 05:42 PM
dorkymichelle
Mean value theorum help?
Find all numbers c that satisfy the conclusion of the Mean Value Theorem.
so f(x)=e ^ -2x [0,3]
using f(b)-f(a)=f'(c)(b-a)
so that's
f'(x) = 2e^-2x
e^-2(3)-e^-2(0) = 2e^-2x(3-0)
e^-6-1=3e^-2x
now... | 5 | [
-0.03955078125,
-0.00506591796875,
0.006805419921875,
-0.049560546875,
-0.029541015625,
-0.003631591796875,
-0.05322265625,
0.07177734375,
0.044677734375,
0.07666015625,
0.0751953125,
-0.1357421875,
0.072265625,
-0.0625,
0.046875,
-0.0179443359375,
-0.09912109375,
-0.045654296875,
... | 26,106 | 26106 | |
Commutator subgroup of Sn
If Sn is the symmetric group what is the form of the commutator subgroup?
It depends what $n$ is. If $n\geq 5$ then $(S_n)' = A_n$, to see a proof go here. If $n=4$ then $(S_4)'$ must be a normal subgroup. This means $(S_4) ' = S_4, A_4,V$ where $V=\{(1),(12)(34),(13)(24),
(14)(23)\}$. It rem... | 5 | [
-0.0211181640625,
-0.036865234375,
0.09228515625,
-0.033935546875,
-0.0272216796875,
0.0400390625,
-0.04296875,
0.01043701171875,
-0.040771484375,
-0.0262451171875,
0.049072265625,
0.0036163330078125,
-0.028076171875,
-0.07421875,
-0.057861328125,
0.068359375,
-0.0172119140625,
0.0... | 26,107 | 26107 | |
Given one set of coordinates, find another set that is 120 degrees away.
April 19th 2012, 10:06 AM #1
Newbie
Joined
Apr 2012
From
United States
Posts
2
Given one set of coordinates, find another set that is 120 degrees away.
given the set of coordinates (-1035,-410) how would i go about finding anoth... | 4 | [
-0.05322265625,
0.0111083984375,
-0.1083984375,
-0.0206298828125,
-0.0220947265625,
-0.012939453125,
0.02001953125,
0.02587890625,
0.00897216796875,
-0.09521484375,
0.1103515625,
-0.013427734375,
0.0830078125,
0.0267333984375,
0.06591796875,
-0.1083984375,
-0.0361328125,
-0.0018310... | 26,108 | 26108 | |
Strain-Based Evaluation of a Steel Through-Girder Railroad Bridge
Advances in Civil Engineering
Volume 2012 (2012), Article ID 145850, 12 pages
http://dx.doi.org/10.1155/2012/145850
Research Article
Strain-Based Evaluation of a Steel Through-Girder Railroad Bridge
Department of Civil Engineering, New Mexico State Un... | 4 | [
-0.064453125,
0.044677734375,
0.0184326171875,
0.11962890625,
-0.0172119140625,
-0.0009307861328125,
-0.0771484375,
0.08837890625,
-0.10205078125,
0.003448486328125,
-0.10107421875,
0.045654296875,
0.06689453125,
0.05517578125,
-0.0732421875,
0.03955078125,
0.042236328125,
-0.03076... | 26,109 | 26109 | |
Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 938781, 16 pages
http://dx.doi.org/10.1155/2014/938781
Research Article
Robust Finite-Time Control for Nonlinear Markovian Jump Systems with Time De... | 4 | [
-0.0869140625,
0.00921630859375,
-0.0118408203125,
0.0299072265625,
-0.0133056640625,
0.03173828125,
0.01385498046875,
-0.0242919921875,
-0.0025177001953125,
0.06591796875,
0.08642578125,
0.00011157989501953125,
0.0771484375,
-0.055419921875,
-0.08642578125,
0.09912109375,
-0.0093383... | 26,110 | 26110 | |
Modeling the Release Kinetics of Poorly Water-Soluble Drug Molecules from Liposomal Nanocarriers
Journal of Drug Delivery
Volume 2011 (2011), Article ID 376548, 10 pages
http://dx.doi.org/10.1155/2011/376548
Research Article
Modeling the Release Kinetics of Poorly Water-Soluble Drug Molecules from Liposomal Nanocarri... | 4 | [
-0.0050048828125,
-0.091796875,
-0.06005859375,
-0.0035400390625,
0.0028839111328125,
-0.08154296875,
-0.033935546875,
0.08984375,
0.051025390625,
0.043701171875,
0.0034942626953125,
0.032470703125,
0.0032196044921875,
0.08349609375,
-0.006103515625,
0.00433349609375,
0.042236328125,... | 26,111 | 26111 | |
Effects of Fiber Orientation and Material Isotropy on the Analytical Elastic Solution of a Stiffened Orthotropic Panel Subjected to a Combined Loading
Advances in Materials Science and Engineering
Volume 2013 (2013), Article ID 710143, 13 pages
http://dx.doi.org/10.1155/2013/710143
Research Article
Effects of Fiber O... | 4 | [
-0.049560546875,
0.039794921875,
0.01806640625,
-0.0284423828125,
0.01043701171875,
-0.00457763671875,
-0.04345703125,
0.048583984375,
-0.024169921875,
0.0247802734375,
0.035888671875,
0.08935546875,
0.048583984375,
0.0220947265625,
-0.034912109375,
-0.04443359375,
-0.0078125,
0.03... | 26,112 | 26112 | |
Common Fixed Point Theorems in a New Fuzzy Metric Space
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 890678, 18 pages
http://dx.doi.org/10.1155/2012/890678
Research Article
Common Fixed Point Theorems in a New Fuzzy Metric Space
^1School of Information Engineering, Guangdong Medical College, Donggua... | 5 | [
-0.0018463134765625,
-0.051513671875,
0.052978515625,
-0.068359375,
-0.0546875,
0.078125,
0.08154296875,
0.0034027099609375,
0.07470703125,
0.01104736328125,
0.0380859375,
-0.0185546875,
0.044677734375,
0.030029296875,
-0.044677734375,
-0.0302734375,
0.09423828125,
-0.1845703125,
... | 26,113 | 26113 | |
Work: Spherical Problem
May 11th 2008, 08:35 PM #1
Work: Spherical Problem
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 for g and 3.14 for W=_________
r=3
h=1
To set up this problem, I tried by taking the area of one slice of water to be pi r^2. The... | 4 | [
0.0059814453125,
0.032958984375,
-0.05078125,
-0.0113525390625,
-0.016845703125,
-0.061767578125,
0.01141357421875,
0.048583984375,
-0.033935546875,
-0.0032501220703125,
-0.03955078125,
0.0289306640625,
-0.025390625,
0.123046875,
0.00811767578125,
0.01507568359375,
-0.03173828125,
... | 26,114 | 26114 | |
Entropy and the weak Regularity Lemma
If you remember my discussion of Szemeredi’s proof of the Szemeredi Regularity Lemma, the proof goes by progressively refining an initial arbitrary partition until one gets an eps-regular partition.
A potential function is used to prove that the number of refinement steps is at mos... | 4 | [
-0.0546875,
0.03466796875,
0.111328125,
0.044189453125,
0.13671875,
0.09423828125,
0.07373046875,
0.03759765625,
0.056396484375,
-0.028564453125,
-0.0966796875,
0.01373291015625,
0.017578125,
0.03271484375,
0.01031494140625,
-0.043701171875,
-0.0064697265625,
0.004730224609375,
-... | 26,115 | 26115 | |
Measures of Variability
MATH 2441 Probability and Statistics for Biological Sciences
Measures of Variability
The Mean Deviation
The Variance and Standard Deviation
The Interquartile Range The Coefficient of Variation
Measu... | 5 | [
0.059814453125,
-0.04443359375,
0.033935546875,
-0.0279541015625,
-0.0242919921875,
-0.05419921875,
-0.03369140625,
0.109375,
0.078125,
0.0052490234375,
0.051513671875,
-0.033935546875,
0.04443359375,
0.005401611328125,
-0.0167236328125,
-0.07275390625,
-0.01422119140625,
-0.064941... | 26,116 | 26116 | |
Percentage (%)
Percentage is per-cent which means parts per hundred.
One percent is equal to 1/100 fraction:
1% = 1/100 = 0.01
Ten percent is equal to 10/100 fraction:
10% = 10/100 = 0.1
Fifty percent is equal to 50/100 fraction:
50% = 50/100 = 0.5
One hundred percent is equa... | 4 | [
0.041748046875,
0.01177978515625,
-0.045654296875,
-0.029052734375,
0.01031494140625,
-0.06396484375,
0.0625,
0.08935546875,
0.0211181640625,
-0.00830078125,
0.087890625,
-0.050048828125,
0.04296875,
0.09375,
0.043212890625,
0.08544921875,
0.012939453125,
0.0157470703125,
-0.1093... | 26,117 | 26117 | |
Modified Chebyshev-Picard Iteration Methods for Station-Keeping of Translunar Halo Orbits
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 926158, 18 pages
http://dx.doi.org/10.1155/2012/926158
Research Article
Modified Chebyshev-Picard Iteration Methods for Station-Keeping of Translunar Halo Orbit... | 4 | [
-0.0255126953125,
0.0205078125,
0.0255126953125,
-0.046875,
-0.045654296875,
-0.058349609375,
0.0036163330078125,
0.044921875,
0.033447265625,
0.0260009765625,
0.03271484375,
-0.00011348724365234375,
0.021728515625,
-0.1025390625,
0.02099609375,
0.00927734375,
0.0240478515625,
-0.0... | 26,118 | 26118 | |
Generic number type
From HaskellWiki
(Difference between revisions)
m (→See also: link to "converting numbers")
← Older edit
(7 intermediate revisions ... | 5 | [
-0.0966796875,
0.02978515625,
-0.004669189453125,
0.003814697265625,
-0.0673828125,
-0.022216796875,
-0.036865234375,
0.0517578125,
0.00110626220703125,
-0.035400390625,
-0.0076904296875,
-0.027587890625,
0.041259765625,
0.03857421875,
-0.046142578125,
-0.015380859375,
0.028076171875... | 26,119 | 26119 | |
Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems
Journal of Function Spaces and Applications
Volume 2012 (2012), Article ID 678353, 26 pages
http://dx.doi.org/10.1155/2012/678353
Research Article
Hybrid Gradient-Projection Algorithm ... | 5 | [
-0.03759765625,
0.024658203125,
0.030517578125,
-0.08349609375,
0.0026702880859375,
0.05322265625,
0.060791015625,
0.0218505859375,
-0.00421142578125,
0.025146484375,
-0.03076171875,
0.0244140625,
0.08642578125,
0.0458984375,
-0.11328125,
0.0169677734375,
0.01416015625,
-0.01660156... | 26,120 | 26120 | |
LEARNING CURVE
The learning curve is based on the proposition that labor hours decrease in a definite pattern as labor operations are repeated. More specifically, it is based on the statistical findings that as the
cumulative production doubles, the cumulative average time required per unit will be reduced by some con... | 5 | [
-0.0203857421875,
-0.0196533203125,
-0.016845703125,
0.06689453125,
-0.009521484375,
-0.05029296875,
-0.09228515625,
0.002532958984375,
0.046875,
0.0380859375,
0.03466796875,
0.0849609375,
0.00885009765625,
0.06396484375,
-0.031982421875,
0.016357421875,
-0.047119140625,
0.00717163... | 26,121 | 26121 | |
Dynamic Route Guidance Using Improved Genetic Algorithms
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 765135, 6 pages
http://dx.doi.org/10.1155/2013/765135
Research Article
Dynamic Route Guidance Using Improved Genetic Algorithms
^1Institute of Communication Engineering, PLA University of Scie... | 4 | [
-0.017333984375,
0.04443359375,
0.02490234375,
0.06103515625,
-0.046630859375,
-0.095703125,
-0.036376953125,
0.0093994140625,
-0.0693359375,
-0.03515625,
-0.052734375,
-0.034423828125,
0.0322265625,
-0.056640625,
-0.058349609375,
0.09228515625,
0.01373291015625,
-0.041015625,
-0... | 26,122 | 26122 | |
Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 197068, 11 pages
http://dx.doi.org/10.5402/2012/197068
Research Article
Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method
^1Depa... | 5 | [
-0.087890625,
0.09765625,
0.0341796875,
0.0732421875,
0.01220703125,
0.05712890625,
-0.0284423828125,
-0.004241943359375,
0.048095703125,
-0.0040283203125,
0.059814453125,
0.01202392578125,
-0.107421875,
0.0380859375,
-0.024658203125,
-0.007476806640625,
-0.0211181640625,
-0.060791... | 26,123 | 26123 | |
modular arithmetic
August 27th 2008, 08:52 PM
Cornflower
modular arithmetic
Let x, y be relatively prime integers.
Prove that x^(phi(y)) + y^(phi(x)) is congruent to 1 mod(xy)
(phi is Euler's function)
August 28th 2008, 12:29 AM
Moo
Hello,
Quote:
Euler's theorem :
$x^{\varphi(y)} \... | 5 | [
-0.06787109375,
0.00531005859375,
0.04736328125,
0.01007080078125,
0.03564453125,
-0.053466796875,
0.1357421875,
0.0130615234375,
-0.040771484375,
-0.0027923583984375,
0.0771484375,
0.053466796875,
0.049072265625,
0.02783203125,
0.0206298828125,
0.052490234375,
-0.1162109375,
-0.01... | 26,124 | 26124 | |
Toward a Practical Technique to Halt Multiple Virus Outbreaks on Computer Networks
Journal of Computer Networks and Communications
Volume 2012 (2012), Article ID 462747, 13 pages
http://dx.doi.org/10.1155/2012/462747
Research Article
Toward a Practical Technique to Halt Multiple Virus Outbreaks on Computer Networks
... | 4 | [
-0.06396484375,
0.045654296875,
-0.0262451171875,
-0.05322265625,
0.0361328125,
-0.055908203125,
-0.00159454345703125,
-0.03515625,
0.052001953125,
0.0595703125,
-0.031982421875,
0.05419921875,
0.09228515625,
-0.046630859375,
-0.0615234375,
0.00994873046875,
-0.0556640625,
0.006500... | 26,125 | 26125 | |
The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 820831, 7 pages
http://dx.doi.org/10.1155/2014/820831
Research Article
The Stationary Distribution of Competitive Lotka-Volterra Population Systems with Jumps
^1College... | 5 | [
-0.01470947265625,
-0.0081787109375,
-0.0111083984375,
-0.00109100341796875,
-0.07861328125,
0.0361328125,
-0.0888671875,
0.01129150390625,
0.016357421875,
-0.01519775390625,
0.046875,
-0.022216796875,
0.0238037109375,
-0.01422119140625,
0.025390625,
-0.05908203125,
0.000736236572265... | 26,126 | 26126 | |
gambling problem/ standard deviation
May 23rd 2007, 09:45 AM #1
Newbie
Joined
May 2007
Posts
10
gambling problem/ standard deviation
I'm analyzing some data from online gambling sites.I'm trying to prove they are stealing the customers.
I'm not an expert in math ....just having "common sense" knowled... | 4 | [
-0.0262451171875,
0.052001953125,
-0.0155029296875,
0.0162353515625,
0.0169677734375,
0.01904296875,
0.09228515625,
0.050048828125,
0.025390625,
0.0244140625,
-0.055419921875,
0.03173828125,
0.06396484375,
0.012939453125,
0.06591796875,
-0.01483154296875,
0.043701171875,
-0.0424804... | 26,127 | 26127 | |
-Species Model of Facultative Mutualism
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 580185, 11 pages
http://dx.doi.org/10.1155/2013/580185
Research Article
Global Attractivity of a Periodic Delayed -Species Model of Facultative Mutualism
College of Mathematics and System Sciences, Xinjiang... | 5 | [
-0.09716796875,
-0.04736328125,
0.0419921875,
0.0279541015625,
0.039794921875,
0.036376953125,
0.00074005126953125,
-0.0751953125,
0.130859375,
0.00799560546875,
0.1259765625,
-0.08251953125,
0.044677734375,
-0.035888671875,
-0.001220703125,
-0.03125,
-0.046875,
-0.051513671875,
... | 26,128 | 26128 | |
Card Probability
January 11th 2007, 03:37 AM #1
Newbie
Joined
Jan 2007
Posts
2
Card Probability
"Four cards are drawn from a standard deck. Find the probability that the four cards chosen are dace cards from four different suits." The answer is 81/270725.
The way I did it was as follows:
(3C1 x... | 4 | [
0.06201171875,
0.039306640625,
-0.0218505859375,
-0.0322265625,
-0.00994873046875,
-0.0028533935546875,
0.04833984375,
0.044189453125,
-0.046630859375,
-0.025146484375,
-0.076171875,
-0.1123046875,
0.0005340576171875,
0.013671875,
-0.0140380859375,
0.038330078125,
0.0228271484375,
... | 26,129 | 26129 | |
Efficient Use of Variation in Evolutionary Optimization
Applied Computational Intelligence and Soft Computing
Volume 2010 (2010), Article ID 696345, 7 pages
http://dx.doi.org/10.1155/2010/696345
Research Article
Efficient Use of Variation in Evolutionary Optimization
Santa Fe Institute, 1399 Hyde Park Rd, Santa Fe, ... | 4 | [
-0.0257568359375,
-0.017578125,
-0.0198974609375,
0.0301513671875,
0.0205078125,
-0.04638671875,
-0.03369140625,
-0.0186767578125,
-0.025146484375,
-0.0291748046875,
-0.0263671875,
-0.0703125,
0.03857421875,
-0.01507568359375,
-0.07958984375,
0.0107421875,
0.0478515625,
-0.03564453... | 26,130 | 26130 | |
A (simple) System of Linear Equations
April 15th 2009, 03:20 PM #1
Newbie
Joined
Apr 2009
Posts
6
A (simple) System of Linear Equations
I've tried the 2 methods I know (Substitution and addition) and can't get an answer to this. Some of the answers I've gotten were 7(2/5) and 22 for x. It's just been so ... | 4 | [
-0.0166015625,
0.00408935546875,
-0.00927734375,
-0.0118408203125,
-0.02392578125,
0.0439453125,
0.01007080078125,
0.0177001953125,
-0.026123046875,
0.0030670166015625,
0.10791015625,
-0.040771484375,
0.034912109375,
0.0252685546875,
-0.0693359375,
0.08984375,
-0.05419921875,
-0.03... | 26,131 | 26131 | |
Lagrange Multiplier issues
June 26th 2012, 05:59 PM #1
Newbie
Joined
Apr 2012
From
NY
Posts
11
Lagrange Multiplier issues
hey everyone, i'm currently stumped on a problem that seems impossible to solve.
the formula is ((x^2)/9)+((y^2)/4)=1, and it asks to find the maximum area of a rectangle with... | 5 | [
0.060302734375,
-0.061279296875,
-0.00872802734375,
-0.072265625,
0.01483154296875,
-0.01348876953125,
-0.044189453125,
0.07177734375,
-0.0274658203125,
-0.09033203125,
0.01409912109375,
0.04248046875,
-0.05908203125,
0.09716796875,
0.0223388671875,
0.11865234375,
0.04150390625,
-0... | 26,132 | 26132 | |
Question about subspaces
November 11th 2011, 01:23 PM #1
Junior Member
Joined
Feb 2011
Posts
54
Question about subspaces
Let M, N be the subspaces of the V vector space and $M \subset N$. The quotient space of V by M is V/M and similarly the quotient space of V by N is V/N.
Show that V/M has a subspa... | 5 | [
-0.041259765625,
-0.034423828125,
0.08837890625,
0.0296630859375,
-0.0341796875,
0.037353515625,
-0.01318359375,
-0.004608154296875,
-0.02783203125,
-0.10498046875,
0.0306396484375,
-0.0498046875,
-0.017578125,
-0.036865234375,
-0.07275390625,
-0.01031494140625,
0.080078125,
0.0158... | 26,133 | 26133 | |
vector calculus..cylindrical coordinates
September 10th 2009, 12:23 PM #1
Member
Joined
Nov 2008
From
MD
Posts
165
how to you transform cartesian equations into cylindrical coordinates?
for example, write the following cartesian equation in cylindrical coordinates and graph:
x^2 + y^2 + (z-1)^... | 4 | [
-0.0654296875,
0.0361328125,
-0.032470703125,
-0.047119140625,
0.0179443359375,
-0.04443359375,
0.0255126953125,
0.064453125,
0.034423828125,
0.0240478515625,
-0.01324462890625,
0.05419921875,
0.045166015625,
0.134765625,
-0.07861328125,
-0.0869140625,
-0.044677734375,
-0.085449218... | 26,134 | 26134 | |
Optimal Wavelet Estimation of Density Derivatives for Size-Biased Data
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 512634, 13 pages
http://dx.doi.org/10.1155/2014/512634
Research Article
Optimal Wavelet Estimation of Density Derivatives for Size-Biased Data
Department of Applied Mathematics, Beijing... | 5 | [
-0.0556640625,
-0.03564453125,
0.06494140625,
-0.0015106201171875,
0.0162353515625,
-0.050048828125,
0.0274658203125,
-0.01055908203125,
0.0260009765625,
0.0167236328125,
-0.026611328125,
0.037109375,
0.0166015625,
-0.04833984375,
-0.037841796875,
0.002410888671875,
0.0255126953125,
... | 26,135 | 26135 | |
Need help with 2nd derivative
September 25th 2006, 08:40 PM #1
Junior Member
Joined
Mar 2006
Posts
40
y = t/(t+1)^2
Finding the first derivative:
y' = (t+1)^2 (1) - [t(t+1)(2)]/(t+1)^4
y' = (t+1)[(t+1) - 2t]/(t+1)^4
y' = (1-t)/(t+1)^3
Assuming that is correct, then I'll move on to th... | 4 | [
-0.0751953125,
-0.058349609375,
-0.047607421875,
0.0047607421875,
-0.00946044921875,
-0.0322265625,
-0.044189453125,
-0.049072265625,
-0.00457763671875,
0.005462646484375,
0.0439453125,
0.0146484375,
0.0000667572021484375,
0.00482177734375,
-0.00958251953125,
0.0732421875,
-0.0510253... | 26,136 | 26136 | |
Improving Spatial Adaptivity of Nonlocal Means in Low-Dosed CT Imaging Using Pointwise Fractal Dimension
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 902143, 8 pages
http://dx.doi.org/10.1155/2013/902143
Research Article
Improving Spatial Adaptivity of Nonlocal Means in Low-Dosed ... | 4 | [
0.06494140625,
-0.06787109375,
0.109375,
-0.035888671875,
-0.01348876953125,
-0.1044921875,
-0.0235595703125,
0.0252685546875,
0.02978515625,
-0.0205078125,
0.01007080078125,
-0.0174560546875,
0.0947265625,
0.06689453125,
-0.107421875,
-0.0712890625,
-0.046142578125,
-0.0439453125,... | 26,137 | 26137 | |
Load Induced Error Identification and Camber Curve Design of a Large-Span Crossbeam
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 847194, 12 pages
http://dx.doi.org/10.1155/2013/847194
Research Article
Load Induced Error Identification and Camber Curve Design of a Large-Span Crossbeam
^1College o... | 4 | [
-0.080078125,
0.047607421875,
0.0164794921875,
0.060546875,
-0.0439453125,
-0.1376953125,
-0.029052734375,
0.11328125,
-0.020751953125,
0.030029296875,
-0.05078125,
0.017333984375,
0.04248046875,
-0.043701171875,
-0.06396484375,
0.01611328125,
0.006256103515625,
-0.039794921875,
... | 26,138 | 26138 | |
Relationship of Torque and Shaft Size
Written by:
Chuck Yung and Cyndi Nyberg, EASA
Bigger Is Better-Or At Least It Used To Be
Owing partly to tradition, the shafts of electric motors are often larger than those of the equipment they drive. Engineers were very conservative a century ago when electric motors first ca... | 5 | [
-0.03515625,
-0.002655029296875,
0.024169921875,
-0.00640869140625,
-0.0693359375,
-0.033447265625,
-0.1044921875,
0.060791015625,
0.06494140625,
-0.0294189453125,
0.03857421875,
0.078125,
0.03173828125,
-0.03857421875,
-0.0849609375,
0.0260009765625,
0.0174560546875,
0.03979492187... | 26,139 | 26139 | |
Applications of Soft Sets in
Advances in Fuzzy Systems
Volume 2013 (2013), Article ID 319542, 8 pages
http://dx.doi.org/10.1155/2013/319542
Research Article
Applications of Soft Sets in -Algebras
^1Department of Mathematics, Faculty of Sciences (Girls), King Abdulaziz University, Jeddah, Saudi Arabia
^2Punjab Unive... | 5 | [
-0.055908203125,
0.0091552734375,
0.010009765625,
0.0311279296875,
-0.095703125,
-0.0106201171875,
0.10400390625,
0.0001697540283203125,
-0.00653076171875,
-0.043701171875,
0.0203857421875,
-0.068359375,
0.0849609375,
-0.00823974609375,
-0.0301513671875,
0.08056640625,
0.07275390625,... | 26,140 | 26140 | |
-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pint
Discrete Dynamics in Nature and Society
VolumeΒ 2012Β (2012), Article IDΒ 169348, 8 pages
http://dx.doi.org/10.1155/2012/169348
Research Article
-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-PintΓ©r Addition Theorem... | 5 | [
-0.1123046875,
-0.0201416015625,
0.0172119140625,
0.08935546875,
0.01953125,
0.033447265625,
0.06201171875,
0.0185546875,
0.07763671875,
-0.040283203125,
0.045166015625,
-0.0033721923828125,
0.01348876953125,
0.0283203125,
-0.0230712890625,
0.0013427734375,
-0.1279296875,
0.0878906... | 26,141 | 26141 | |
The Research of the Driver Attention Field Modeling
Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 270616, 9 pages
http://dx.doi.org/10.1155/2014/270616
Research Article
The Research of the Driver Attention Field Modeling
^1State Key Laboratory of Automotive Simulation and Control, Jilin Univ... | 4 | [
0.0888671875,
-0.0189208984375,
-0.01519775390625,
0.01507568359375,
0.0576171875,
-0.01007080078125,
0.050048828125,
-0.00035858154296875,
0.09423828125,
-0.008544921875,
0.0771484375,
-0.00726318359375,
0.052734375,
-0.0218505859375,
-0.043701171875,
-0.0361328125,
0.109375,
0.00... | 26,142 | 26142 | |
algebra word problem
September 30th 2008, 05:02 AM
watsod8
algebra word problem
alice invested a portion of $500 at 4% interest and the remainder at 5%.
how much did she invest at each rate if her total income from both investments is $23.28.
September 30th 2008, 05:27 AM
masters
Quote:
Let x = ... | 4 | [
0.0908203125,
0.04052734375,
0.05712890625,
-0.0201416015625,
-0.054931640625,
-0.0281982421875,
0.04296875,
0.0228271484375,
-0.0245361328125,
0.056396484375,
0.0035552978515625,
-0.05712890625,
0.0247802734375,
0.028076171875,
-0.033935546875,
0.080078125,
-0.021484375,
-0.024414... | 26,143 | 26143 | |
Difficult integral with parameters
August 2nd 2009, 08:12 AM #1
Newbie
Joined
Jul 2009
Posts
10
Can anyone help me solve this integral?
Calculate in $R$
$\int{\frac{dx}{ax^4+bx^3+cx^2+bx+a}}$, where $b,c$ Є $R$ and $a$ Є R\{0}.
Thanks in advance!
Hint
$a{x^4} + b{x^3} + c{x^2} + bx ... | 4 | [
-0.0301513671875,
0.0223388671875,
0.01416015625,
0.0712890625,
-0.0196533203125,
0.062255859375,
-0.01904296875,
-0.04248046875,
-0.01190185546875,
0.0037078857421875,
-0.046630859375,
-0.080078125,
0.0263671875,
0.047607421875,
-0.001312255859375,
0.036865234375,
0.0198974609375,
... | 26,144 | 26144 | |
Procedure for deductive theorem proof done in axiomatic logic
April 28th 2011, 12:33 PM
ToaTerra
Procedure for deductive theorem proof done in axiomatic logic
In the wikipedia article Deduction theorem - Wikipedia, the free encyclopedia under the section titled "Conversion from proof using the deduction meta-the... | 5 | [
-0.057373046875,
0.04345703125,
0.018798828125,
-0.068359375,
0.0458984375,
-0.022216796875,
0.01251220703125,
0.04248046875,
-0.041015625,
0.08251953125,
0.0159912109375,
-0.018310546875,
0.0673828125,
-0.0086669921875,
0.032958984375,
0.1103515625,
0.031005859375,
-0.0234375,
-... | 26,145 | 26145 | |
A Noncommutative Enumeration Problem
International Journal of Combinatorics
Volume 2011 (2011), Article ID 403140, 9 pages
http://dx.doi.org/10.1155/2011/403140
Research Article
A Noncommutative Enumeration Problem
Department of Mathematics and Informatics, University of Camerino, Via Madonna delle Carceri 9, 62032 ... | 5 | [
-0.043701171875,
0.0703125,
-0.05126953125,
0.03466796875,
-0.044189453125,
-0.04443359375,
0.0218505859375,
-0.03564453125,
0.0712890625,
-0.0201416015625,
-0.0296630859375,
-0.05224609375,
0.049560546875,
0.031982421875,
-0.0277099609375,
0.10498046875,
-0.053955078125,
0.0795898... | 26,146 | 26146 | |
Resolve into factors
December 7th 2009, 02:00 AM #1
Newbie
Joined
Nov 2009
Posts
9
Resolve into factors
Resolve into factors :
1) x^2 +2(a^2 + b^2) + 3ax - b(3x + 5a)
2) x^4 + 6x^3 + 4x^2 - 15x + 6
Thanking you
Regards
Sreedhar
Rearranging
$1) x^2 +2(a^2 + b^2) + 3ax - b(3x +... | 4 | [
-0.064453125,
-0.01953125,
0.041259765625,
-0.0089111328125,
0.0194091796875,
0.1162109375,
-0.0390625,
-0.01226806640625,
-0.00958251953125,
-0.05810546875,
0.038330078125,
-0.059814453125,
0.047119140625,
-0.00750732421875,
-0.015869140625,
0.0986328125,
0.006744384765625,
-0.041... | 26,147 | 26147 | |
Solving Multidimensional 0-1 Knapsack Problem with
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 372768, 6 pages
http://dx.doi.org/10.1155/2014/372768
Research Article
Solving Multidimensional 0-1 Knapsack Problem with Time-Free Tissue P Systems
^1Department of Computer Science, Xiamen University, X... | 4 | [
-0.08837890625,
0.0625,
0.0546875,
-0.08935546875,
-0.0004863739013671875,
-0.09521484375,
0.0037994384765625,
0.034423828125,
0.056884765625,
0.1064453125,
0.0030517578125,
0.053466796875,
0.05078125,
0.1240234375,
-0.06103515625,
-0.01708984375,
-0.09228515625,
-0.005279541015625... | 26,148 | 26148 | |
Irreducible polynomials degree 2 general form
October 9th 2012, 02:48 PM #1
Newbie
Joined
Oct 2012
From
york
Posts
7
Irreducible polynomials degree 2 general form
Hi all!
This should be a quick question.
if f is an irreducible polynomial (on the real line) of degree two, i need to show that ... | 4 | [
-0.007293701171875,
-0.00799560546875,
-0.060546875,
0.0888671875,
-0.030029296875,
0.126953125,
0.0264892578125,
-0.044921875,
-0.0159912109375,
-0.04150390625,
0.06396484375,
-0.0634765625,
0.03466796875,
0.05126953125,
-0.015869140625,
0.06298828125,
-0.03515625,
-0.06884765625,... | 26,149 | 26149 | |
D. J. Bernstein
Fast arithmetic
djbfft
Complex convolution library interface
djbfft currently supports sizes 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, and 8192. This document focuses on 256 for simplicity.
Single-precision transforms
#include <fftc4.h>
complex4 a[256];
fftc4_256(a);
... | 4 | [
-0.035400390625,
0.0390625,
-0.06494140625,
-0.0181884765625,
-0.07666015625,
-0.04736328125,
-0.0186767578125,
-0.01226806640625,
0.0135498046875,
-0.0556640625,
-0.10205078125,
-0.0155029296875,
-0.032958984375,
-0.006866455078125,
-0.07958984375,
-0.0272216796875,
-0.091796875,
... | 26,150 | 26150 | |
Matrices- Find Formula and Prove by Induction
September 29th 2009, 10:11 AM #1
Member
Joined
Oct 2008
Posts
82
Matrices- Find Formula and Prove by Induction
Let A be a matrix =
[1 1 1
0 1 1
0 0 1]
Find a formula for A^n(n is an element of N) and prove the formula by induction.
Show ... | 4 | [
-0.0130615234375,
0.08203125,
-0.035888671875,
0.039794921875,
-0.022216796875,
-0.051025390625,
0.0245361328125,
-0.11328125,
0.03515625,
0.0255126953125,
-0.00168609619140625,
-0.01153564453125,
0.00579833984375,
0.0208740234375,
-0.01092529296875,
0.0419921875,
-0.054443359375,
... | 26,151 | 26151 | |
Problem in defferential equation
January 25th 2008, 06:16 PM #1
Member
Joined
Sep 2007
Posts
198
Problem in defferential equation
1. Find the general solution of linear differential equation
dy/dx – y/(x+1) = x
2. Given that (x) dy/dx – 2y = x^3 ln x, find y in terms of x such that y=2 at x=1.... | 5 | [
-0.0289306640625,
-0.040771484375,
0.034423828125,
-0.0164794921875,
0.10888671875,
-0.016357421875,
0.0103759765625,
-0.004180908203125,
-0.06591796875,
-0.0123291015625,
0.1396484375,
-0.09423828125,
-0.0033111572265625,
0.07275390625,
0.017578125,
-0.02685546875,
-0.0498046875,
... | 26,152 | 26152 | |
Development and Validation of a New Boundary Condition for Intake Analysis with Distortion
International Journal of Aerospace Engineering
Volume 2013 (2013), Article ID 284206, 12 pages
http://dx.doi.org/10.1155/2013/284206
Research Article
Development and Validation of a New Boundary Condition for Intake Analysis wi... | 4 | [
-0.08837890625,
0.07861328125,
0.0166015625,
-0.0732421875,
0.00946044921875,
-0.0615234375,
-0.040771484375,
0.06884765625,
0.01507568359375,
-0.1279296875,
-0.06787109375,
-0.007354736328125,
-0.006561279296875,
-0.04052734375,
-0.03759765625,
-0.0380859375,
0.055908203125,
0.013... | 26,153 | 26153 | |
Integration by Partial Fractions
October 7th 2008, 09:22 AM #1
Integration by Partial Fractions
$<br /> \int {\frac{{2x^4 }}<br /> {{x^3 - x^2 + x - 1}}dx} <br />$
This one gets a little bit tricky. So first off I do long division to make the fraction proper:
$<br /> x^3 - x^2 + x - 1\left){\vphantom{1{... | 5 | [
-0.0022430419921875,
0.0260009765625,
0.0556640625,
0.0306396484375,
-0.000713348388671875,
-0.052978515625,
-0.10791015625,
-0.00909423828125,
-0.0308837890625,
-0.03662109375,
-0.037353515625,
-0.080078125,
0.051513671875,
-0.021728515625,
-0.044189453125,
0.03173828125,
0.09228515... | 26,154 | 26154 | |
the encyclopedic entry of Weak_base
In chemistry, a
weak base
is a
chemical base
that does not
ionize
fully in an
aqueous solution
. As Bronsted-Lowry bases are proton acceptors, a weak base may also be defined as a chemical base in which
protonation
is incomplete. This results in a relatively low
pH
level ... | 5 | [
0.0223388671875,
-0.0634765625,
-0.0262451171875,
-0.01953125,
0.05810546875,
-0.052734375,
0.00958251953125,
0.1845703125,
0.0031585693359375,
-0.044189453125,
-0.0128173828125,
0.01544189453125,
0.05908203125,
0.07177734375,
0.038818359375,
-0.0179443359375,
-0.019287109375,
0.03... | 26,155 | 26155 | |
Mixture of Gamma, Poison, and Pareto Distribution
October 6th 2009, 03:55 PM #1
Member
Joined
Oct 2009
Posts
218
Mixture of Gamma, Poison, and Pareto Distribution
I got this far:
$\frac{\Gamma(\alpha + k)}{\Gamma(h) \Gamma(\alpha) \Gamma(k)} \int^{\infty}_0 \int^{\infty}_0 \frac{e^{-(h^{-1} + \... | 4 | [
-0.033203125,
-0.03759765625,
-0.048583984375,
-0.0498046875,
0.0035400390625,
0.0072021484375,
0.1484375,
0.0177001953125,
-0.0419921875,
0.012939453125,
0.10498046875,
0.00396728515625,
0.02490234375,
0.005706787109375,
-0.05419921875,
0.01068115234375,
0.0810546875,
-0.060791015... | 26,156 | 26156 | |
How do you do this proof of perfect integer?
November 15th 2009, 10:11 AM #1
Newbie
Joined
Oct 2009
Posts
16
How do you do this proof of perfect integer?
I'm completely stuck on this proof. I know the idea of how to do it, find the factors, add them, and show its the same, but I have no idea what the fac... | 4 | [
0.0038909912109375,
0.01104736328125,
0.0859375,
0.06494140625,
0.1337890625,
0.00145721435546875,
0.09765625,
0.12158203125,
-0.0771484375,
0.0166015625,
-0.0849609375,
-0.01068115234375,
0.0634765625,
-0.02001953125,
-0.0380859375,
0.0244140625,
-0.09716796875,
0.036376953125,
... | 26,157 | 26157 | |
Characterizing Derivations on Von Neumann Algebras by Local Actions
Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 407427, 11 pages
http://dx.doi.org/10.1155/2013/407427
Research Article
Characterizing Derivations on Von Neumann Algebras by Local Actions
Department of Mathematics, Shanxi ... | 5 | [
-0.11865234375,
-0.002105712890625,
0.02001953125,
-0.01068115234375,
0.004791259765625,
0.09033203125,
0.0247802734375,
0.014892578125,
-0.02978515625,
-0.02685546875,
0.07568359375,
-0.091796875,
0.033935546875,
-0.0242919921875,
-0.03271484375,
0.01251220703125,
-0.0101318359375,
... | 26,158 | 26158 | |
Maximum & Minimum Problems
September 21st 2009, 03:30 PM #1
Newbie
Joined
May 2009
Posts
3
Maximum & Minimum Problems
I am having some issues with these problems.
1. A farmer constructing a rectangluar fenced area with 420 meters of fencing. Calculate the dimensions that will yield the maximum area?
... | 4 | [
0.0693359375,
0.06103515625,
0.038818359375,
-0.11181640625,
-0.0264892578125,
-0.038330078125,
-0.056884765625,
0.0966796875,
-0.11181640625,
0.031982421875,
0.05029296875,
-0.0361328125,
0.0498046875,
0.06787109375,
0.030517578125,
0.12060546875,
0.01043701171875,
-0.009826660156... | 26,159 | 26159 | |
Where am I going wrong?
August 4th 2012, 04:15 PM #1
Member
Joined
Jun 2012
From
Australia
Posts
86
Where am I going wrong?
I'm not sure what I'm doing wrong here...
S(t) = 20,000(1 + e^{-0.5t})
Find the rate of change when t=1
S'(t) = 20,000(1 + e^{-0.5t}) d/dx(-0.5t)
... | 4 | [
-0.030517578125,
0.06982421875,
0.07373046875,
0.005584716796875,
0.040771484375,
-0.06396484375,
0.0164794921875,
0.046142578125,
0.039794921875,
0.06982421875,
0.125,
-0.1201171875,
0.053466796875,
0.036865234375,
-0.08349609375,
-0.0537109375,
-0.045654296875,
-0.03564453125,
... | 26,160 | 26160 | |
differential equation verification
February 4th 2009, 03:09 PM
crafty
differential equation verification
(dy/dt) + y = cos(e^t) i got the integrating factor as e^t and the answer i got is y = (1/(e^t))*(sin (e^t)) + C is this correct???
February 4th 2009, 03:14 PM
Jester
Quote:
Very close, when you ... | 5 | [
-0.130859375,
0.01416015625,
-0.022705078125,
0.0546875,
0.09326171875,
0.03955078125,
-0.0439453125,
-0.0159912109375,
-0.04052734375,
0.0791015625,
0.099609375,
-0.025146484375,
-0.07080078125,
0.08447265625,
0.03759765625,
-0.031005859375,
-0.0279541015625,
0.047607421875,
-0.... | 26,161 | 26161 | |
Ordering in Two-Dimensional Lennard-Jones Clusters
ISRN Condensed Matter Physics
VolumeΒ 2012Β (2012), Article IDΒ 342642, 7 pages
http://dx.doi.org/10.5402/2012/342642
Research Article
Ordering in Two-Dimensional Lennard-Jones Clusters
Experimental Condensed Matter Physics Division, Saha Institute of Nuclear Physic... | 4 | [
-0.01312255859375,
-0.0771484375,
-0.0291748046875,
0.1328125,
0.11376953125,
-0.0201416015625,
-0.056884765625,
-0.033447265625,
-0.006256103515625,
0.050537109375,
-0.0113525390625,
0.0032958984375,
0.033935546875,
-0.031982421875,
0.04541015625,
-0.0267333984375,
0.01495361328125,... | 26,162 | 26162 | |
Solving triangle ABC using given measurements
May 4th 2008, 11:25 AM #1
Newbie
Joined
May 2008
Posts
2
Solving triangle ABC using given measurements
I was not paying attention in class when this was taught and now I'm completely lost
right triangle ABC
B=40 degrees
side a=14
what do I ... | 4 | [
-0.0458984375,
0.1337890625,
-0.0157470703125,
-0.00396728515625,
-0.038330078125,
0.0517578125,
-0.01220703125,
0.036376953125,
0.002655029296875,
0.052001953125,
0.10009765625,
-0.055419921875,
0.0218505859375,
0.10009765625,
0.0595703125,
-0.00116729736328125,
-0.125,
0.02783203... | 26,163 | 26163 | |
is f(f(x)) = f(x) f(x) , f is automorphism f^2 is identity
November 14th 2011, 09:11 AM #1
is f(f(x)) = f(x) f(x) , f is automorphism f^2 is identity
let G be a finite group
if sigma is automorphism from G to G such that
$\sigma (g) = g \text{ if and only if }\;\; g =1$
given that $\sigma^2$ is the ... | 4 | [
-0.00799560546875,
0.0279541015625,
0.09521484375,
0.0732421875,
-0.037353515625,
-0.0306396484375,
0.0625,
-0.004852294921875,
-0.05029296875,
-0.0164794921875,
0.010986328125,
-0.034912109375,
0.01385498046875,
-0.0279541015625,
-0.072265625,
0.10546875,
-0.033203125,
0.058105468... | 26,164 | 26164 | |
the encyclopedic entry of Finite_difference
A
finite difference
is a mathematical expression of the form
f
(
x
+
b
) −
f
(
x
+
a
). If a finite difference is divided by
b
−
a
, one gets a
difference quotient
. The approximation of derivatives by finite differences plays a central role in
finite dif... | 4 | [
-0.01904296875,
0.041259765625,
0.06494140625,
-0.0712890625,
-0.044921875,
-0.03955078125,
-0.06787109375,
-0.01263427734375,
0.004058837890625,
0.02880859375,
0.03125,
0.0152587890625,
0.0166015625,
-0.04052734375,
0.006317138671875,
-0.06396484375,
-0.052490234375,
0.00595092773... | 26,165 | 26165 | |
Simplifying Radical Expression (CtP: Check the Proof)
February 1st 2010, 04:02 PM #1
Junior Member
Joined
Dec 2009
From
U.S
Posts
60
Simplifying Radical Expression (CtP: Check the Proof)
Can you check to see if I took the proper steps to get the right answer?
Simplify:
$\sqrt {\frac {36x}{y... | 4 | [
0.00360107421875,
-0.07275390625,
-0.03466796875,
0.02197265625,
-0.060302734375,
-0.04736328125,
-0.11328125,
-0.02685546875,
0.0322265625,
-0.045654296875,
0.036376953125,
0.0947265625,
-0.01019287109375,
0.0255126953125,
0.10400390625,
0.119140625,
-0.052734375,
0.058349609375,
... | 26,166 | 26166 | |
Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 629434, 6 pages
http://dx.doi.org/10.1155/2014/629434
Research Article
Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation
^1Faculty of Sc... | 5 | [
-0.072265625,
0.034912109375,
0.0439453125,
0.01385498046875,
-0.03271484375,
-0.0869140625,
-0.0130615234375,
0.08349609375,
-0.0026702880859375,
-0.01141357421875,
0.0419921875,
-0.03369140625,
-0.020751953125,
-0.017578125,
-0.061767578125,
-0.045654296875,
-0.034912109375,
-0.0... | 26,167 | 26167 | |
weighing?
October 14th 2008, 07:52 PM
fecoupefe
weighing?
A jar filled with water weighs 10 pounds. When one-half of the water is poured out, the jar and remaining water weigh 5 3/4 pounds. How much does the jar weigh?
October 14th 2008, 07:58 PM
Prove It
Quote:
Let j = weight of jar
Let w = wei... | 4 | [
-0.056640625,
0.0791015625,
0.04443359375,
0.09423828125,
0.036865234375,
-0.018310546875,
0.0478515625,
0.0703125,
-0.0245361328125,
0.009033203125,
-0.00347900390625,
-0.07373046875,
-0.041748046875,
0.0576171875,
-0.05859375,
-0.04345703125,
0.01507568359375,
0.064453125,
-0.1... | 26,168 | 26168 | |
Hermite polynomials.
April 23rd 2010, 02:14 PM #1
Newbie
Joined
Apr 2010
Posts
5
Hermite polynomials.
I’m practicing some problems for applied mathematics, and couldn’t quite solve the following:
In differential equations of equilibrium, from u(0) = a, du/dx(0) = b, u(1) = c, du/dx(1) = d we get the ... | 5 | [
-0.1318359375,
0.0133056640625,
0.034423828125,
-0.0250244140625,
-0.04052734375,
0.0771484375,
-0.0216064453125,
-0.05126953125,
-0.0120849609375,
-0.0220947265625,
0.06201171875,
-0.14453125,
0.00689697265625,
-0.0233154296875,
-0.0164794921875,
-0.021240234375,
-0.0203857421875,
... | 26,169 | 26169 | |
Proposition 14
Lemma.
Given two unequal straight lines, to find by what square the square on the greater is greater than the square on the less.
Let AB and C be the given two unequal straight lines, and let AB be the greater of them.
It is required to find by what square the square on AB is greater than the square ... | 4 | [
-0.057861328125,
0.11669921875,
-0.009033203125,
-0.030029296875,
-0.05078125,
0.0216064453125,
-0.0015411376953125,
0.049072265625,
-0.0299072265625,
-0.07177734375,
-0.042236328125,
-0.007598876953125,
0.0257568359375,
-0.00665283203125,
-0.018798828125,
0.017578125,
-0.06982421875... | 26,170 | 26170 | |
On Some Layer-Based Risk Measures with Applications to Exponential Dispersion Models
Journal of Probability and Statistics
Volume 2010 (2010), Article ID 357321, 19 pages
http://dx.doi.org/10.1155/2010/357321
Research Article
On Some Layer-Based Risk Measures with Applications to Exponential Dispersion Models
^1Actu... | 5 | [
-0.06689453125,
-0.02392578125,
0.06787109375,
0.05517578125,
0.05078125,
0.00023937225341796875,
0.0458984375,
0.08447265625,
0.07421875,
0.021240234375,
0.037841796875,
-0.054931640625,
0.06298828125,
0.0439453125,
-0.054443359375,
-0.058837890625,
0.01141357421875,
-0.0167236328... | 26,171 | 26171 | |
parabola-hyperbola tangent point (a derivatives starting point)
April 18th 2013, 07:46 AM #1
Junior Member
Joined
Mar 2013
From
moon
Posts
56
Hello
I have this problem I'm trying to solve without much success, it says:
The parabola y=c-x^2 is tangent to the hyperbola y=2/x.
Draw and find ... | 4 | [
0.0224609375,
-0.047607421875,
0.01470947265625,
0.018310546875,
0.0034332275390625,
0.03515625,
-0.051513671875,
0.0849609375,
0.00396728515625,
0.0123291015625,
0.10009765625,
-0.059326171875,
-0.0126953125,
0.03515625,
0.0093994140625,
0.12060546875,
-0.05712890625,
-0.024414062... | 26,172 | 26172 | |
HUYGENS–FRESNEL PRINCIPLE
The Huygens–Fresnel principle (named after Dutch physicist Christiaan Huygens and French physicist Augustin-Jean Fresnel) is a method of analysis applied to problems of wave propagation both in the
far-field limit and in near-field diffraction.
Huygens–Fresnel principle Contents
Huygens–Fres... | 4 | [
-0.07373046875,
0.01611328125,
0.07568359375,
0.024169921875,
0.09619140625,
-0.01068115234375,
0.0235595703125,
0.04833984375,
-0.0228271484375,
0.0260009765625,
0.0191650390625,
0.0693359375,
0.00408935546875,
-0.0888671875,
0.041748046875,
-0.01226806640625,
-0.05419921875,
0.00... | 26,173 | 26173 | |
slope of implicit function
July 22nd 2011, 12:46 PM #1
Newbie
Joined
Dec 2010
Posts
2
slope of implicit function
Suppose $u\left( x\right) =k\left( \rho +\tau x\right) ^{-\frac{1}{\tau }+1}$
for some constant real numbers k and $\rho$, and $\tau >0$. Suppose $\phi$ is defined by the following implici... | 4 | [
-0.09716796875,
-0.0074462890625,
0.009521484375,
-0.012939453125,
0.033203125,
0.0213623046875,
0.0595703125,
-0.09716796875,
-0.05224609375,
0.0213623046875,
0.051513671875,
0.042724609375,
-0.0189208984375,
0.06689453125,
0.032958984375,
0.0255126953125,
-0.050537109375,
-0.0634... | 26,174 | 26174 | |
Optimal Fuzzy and Dynamics Design of Ecological Sandwich Panel Vessel Roofs
Advances in Fuzzy Systems
Volume 2011 (2011), Article ID 879049, 9 pages
http://dx.doi.org/10.1155/2011/879049
Research Article
Optimal Fuzzy and Dynamics Design of Ecological Sandwich Panel Vessel Roofs
^1Himtech Oy, Ollintie 4, 54100 Jouts... | 4 | [
0.047119140625,
0.107421875,
0.018798828125,
-0.061767578125,
-0.006439208984375,
-0.076171875,
-0.0279541015625,
0.04248046875,
-0.01953125,
0.07568359375,
-0.043701171875,
0.006072998046875,
0.0155029296875,
0.035400390625,
-0.0556640625,
0.024169921875,
0.025146484375,
-0.077636... | 26,175 | 26175 | |
Area of an Isosceles Trapezoid
December 4th 2007, 04:17 AM
garrett88
Area of an Isosceles Trapezoid
How do I find the area of an isosceles trapezoid circumscribed about a circle when I know the lengths of the bases (8 and 18) but do not know the radius of the circle? Thanks.
December 4th 2007, 04:46 AM
colby21... | 4 | [
-0.0291748046875,
0.03076171875,
-0.005279541015625,
0.036865234375,
0.013671875,
-0.033935546875,
0.03271484375,
0.16015625,
0.0098876953125,
-0.05419921875,
0.0005035400390625,
-0.01458740234375,
0.007476806640625,
-0.0625,
0.0291748046875,
0.03564453125,
-0.035400390625,
0.02038... | 26,176 | 26176 | |
Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems
Abstract and Applied Analysis
VolumeΒ 2011Β (2011), Article IDΒ 792689, 13 pages
http://dx.doi.org/10.1155/2011/792689
Research Article
Existence Conditions for Bounded Solutions of Weakly Perturbed Linear Impulsive Systems
^1Ins... | 5 | [
-0.051025390625,
-0.026611328125,
0.035888671875,
0.029541015625,
0.06201171875,
0.038330078125,
0.0245361328125,
0.010498046875,
0.05859375,
-0.07275390625,
0.060546875,
0.0712890625,
0.11572265625,
-0.01470947265625,
-0.07421875,
0.09423828125,
0.0498046875,
-0.09619140625,
-0.... | 26,177 | 26177 | |
cardinality formulae
March 9th 2010, 05:23 AM #1
Newbie
Joined
Mar 2010
Posts
8
cardinality formulae
I need help in the following problem:
Let $\mathcal{L}=\mathcal{L}()$ be a (first order) language. Find $\mathcal{L}$-fomulae $\phi_{\leq n}, \phi_{= n}, \phi_{\geq n}$ that for any $\mathcal{L}$-str... | 4 | [
0.026123046875,
-0.03271484375,
0.05419921875,
-0.048583984375,
-0.0157470703125,
0.138671875,
-0.005828857421875,
0.04345703125,
0.0125732421875,
-0.01031494140625,
0.044677734375,
0.002838134765625,
0.041259765625,
0.0155029296875,
0.0166015625,
0.0517578125,
-0.01385498046875,
-... | 26,178 | 26178 | |
Finite Groups Whose Certain Subgroups of Prime Power Order Are
ISRN Algebra
VolumeΒ 2011Β (2011), Article IDΒ 851495, 8 pages
http://dx.doi.org/10.5402/2011/851495
Research Article
Finite Groups Whose Certain Subgroups of Prime Power Order Are -Semipermutable
Department of Mathematics, Faculty of Science, King Abdu... | 5 | [
-0.08935546875,
0.049560546875,
-0.006134033203125,
0.050048828125,
0.06201171875,
0.0189208984375,
0.00921630859375,
-0.02734375,
-0.0028839111328125,
-0.01336669921875,
-0.0191650390625,
0.099609375,
0.03466796875,
-0.05517578125,
-0.029541015625,
0.03466796875,
0.0194091796875,
... | 26,179 | 26179 | |
RANDOM_2: Probability Measure on Discrete Spaces and Algebra of Real Valued Random Variables
:: Probability Measure on Discrete Spaces and Algebra of Real Valued Random Variables
:: by Hiroyuki Okazaki and Yasunari Shidama
::
:: Received March 16, 2010
:: Copyright (c) 2010-2011 Association of Mizar Users
begin
the... | 4 | [
-0.05419921875,
-0.06591796875,
0.0267333984375,
-0.0033111572265625,
0.02978515625,
0.028564453125,
0.1494140625,
0.010498046875,
0.03759765625,
-0.0130615234375,
-0.0142822265625,
-0.01220703125,
0.004364013671875,
-0.042724609375,
-0.01019287109375,
0.047607421875,
-0.011108398437... | 26,180 | 26180 | |
Basic logorithmic equation
March 24th 2010, 01:19 PM
Drozman03
Basic logorithmic equation
Quote:
The half-life of iodine-123 is about 13 hours. You begin with 50 grams of iodine-123.
Write an equation that gives the amount of iodine-123 remaining after t-hours.
It says that the equation ends u... | 5 | [
-0.05615234375,
0.08349609375,
0.04638671875,
-0.03369140625,
0.03955078125,
-0.08056640625,
0.0478515625,
0.10693359375,
0.0267333984375,
0.044189453125,
0.0194091796875,
-0.0673828125,
0.0130615234375,
0.03662109375,
-0.017822265625,
0.0673828125,
-0.09716796875,
-0.025390625,
... | 26,181 | 26181 | |
[SOLVED] Best approximation/least squares/inner product
June 18th 2008, 12:33 PM
arbolis
[SOLVED] Best approximation/least squares/inner product
Let $f^*=\sum_{j=0}^n c_j^* \phi_j$ be the best approximation with respect to f for the least squares, where { $\phi_0,\phi_1,...,\phi_n$} is a linear independent set. ... | 4 | [
-0.025390625,
0.041015625,
0.0419921875,
-0.0048828125,
-0.028076171875,
0.09423828125,
-0.0556640625,
0.08642578125,
-0.01019287109375,
0.04541015625,
0.0037384033203125,
0.01141357421875,
-0.0289306640625,
-0.045654296875,
-0.04443359375,
-0.0108642578125,
-0.007232666015625,
0.0... | 26,182 | 26182 | |
2 equations with 2 unknows Y & C
August 14th 2011, 10:08 AM #1
Newbie
Joined
Jul 2011
Posts
17
2 equations with 2 unknows Y & C
Hi this is part of a matrix question. I am ok with matrix but am having trouble with getting the equations -
Here it is -
Y = C + I + G
C =C* + yYD C*>0: 0<y<1 (Th... | 4 | [
-0.10546875,
0.01251220703125,
0.004180908203125,
0.005126953125,
0.00665283203125,
-0.0074462890625,
-0.0390625,
0.038330078125,
-0.0147705078125,
0.0888671875,
0.0595703125,
-0.044189453125,
-0.00946044921875,
0.0308837890625,
-0.0098876953125,
0.054931640625,
-0.02978515625,
0.0... | 26,183 | 26183 | |
Two intersecting circles, Circle 2's...
September 15th 2008, 12:02 AM #1
Newbie
Joined
Sep 2008
Posts
1
Their are two intersecting circles. Circle 2's center sits on a point on the circumference of Circle 1.
Circle 2 has to overlap HALF of Circle 1's area.
Given that we know the diameter(/radius... | 5 | [
-0.0264892578125,
0.0009307861328125,
-0.057373046875,
0.052978515625,
0.058837890625,
-0.126953125,
0.00823974609375,
0.0556640625,
-0.010498046875,
-0.05859375,
-0.020751953125,
-0.033203125,
0.044677734375,
0.043701171875,
0.0673828125,
-0.0164794921875,
-0.0380859375,
-0.014160... | 26,184 | 26184 | |
Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 719729, 9 pages
http://dx.doi.org/10.1155/2012/719729
Research Article
Statistical Convergence of Double Sequences in Locally Solid Riesz Spaces
^1Department of Mathematics, Faculty ... | 5 | [
-0.1279296875,
-0.083984375,
0.040771484375,
0.0196533203125,
-0.01080322265625,
0.054443359375,
0.01531982421875,
0.01507568359375,
0.051025390625,
-0.051513671875,
0.01556396484375,
0.04296875,
0.057373046875,
-0.049560546875,
-0.0203857421875,
-0.09716796875,
0.037841796875,
-0.... | 26,185 | 26185 | |
Perturbation-Based Schemes with Ultra-Lightweight Computation to Protect User Privacy in Smart Grid
International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 230140, 8 pages
http://dx.doi.org/10.1155/2013/230140
Research Article
Perturbation-Based Schemes with Ultra-Lightweight Computation t... | 4 | [
-0.0791015625,
0.068359375,
-0.01275634765625,
0.0791015625,
0.035888671875,
-0.1162109375,
0.07568359375,
-0.0361328125,
0.004974365234375,
-0.003021240234375,
-0.0078125,
0.0201416015625,
0.0869140625,
-0.1044921875,
-0.06689453125,
0.0159912109375,
0.0419921875,
-0.0126342773437... | 26,186 | 26186 | |
Center of mass
March 5th 2006, 01:24 PM #1
MHF Contributor
Joined
Oct 2005
From
Earth
Posts
1,599
Center of mass
What is the center of mass of the region bounded by $y=\sqrt{3}|x|$ and the line y=3?
A) (0,0)
B) (0,1)
c) (0,2)
d) (0,3)
Ok, I know the x-coordinate of the center of... | 5 | [
0.0076904296875,
-0.0849609375,
-0.0556640625,
-0.06884765625,
0.04833984375,
-0.051025390625,
-0.034912109375,
0.0546875,
-0.013916015625,
-0.01226806640625,
0.01080322265625,
-0.0220947265625,
-0.0089111328125,
0.01409912109375,
0.052978515625,
-0.01495361328125,
-0.04638671875,
... | 26,187 | 26187 | |
Nonlinear Adaptive Dynamic Output-Feedback Power-Level Control of Nuclear Heating Reactors
Science and Technology of Nuclear Installations
Volume 2013 (2013), Article ID 794167, 15 pages
http://dx.doi.org/10.1155/2013/794167
Research Article
Nonlinear Adaptive Dynamic Output-Feedback Power-Level Control of Nuclear He... | 4 | [
-0.0341796875,
0.02734375,
-0.034423828125,
0.10888671875,
-0.0283203125,
-0.039794921875,
-0.06982421875,
0.02490234375,
-0.06494140625,
-0.010009765625,
-0.005767822265625,
-0.0140380859375,
0.107421875,
-0.09619140625,
-0.05419921875,
0.0654296875,
0.026611328125,
0.001541137695... | 26,188 | 26188 | |
Need help with Constrained Optimization
December 1st 2006, 05:09 AM #1
Junior Member
Joined
Nov 2006
Posts
32
Need help to continue with the following solution: Find the stationary points of the function, $f(x,y) = x^2 + y^2$
subject to the constraint, $3x^2 + 7y^2 + 12x - 28y + 1 = 0$
$L_{xy \l... | 5 | [
0.037353515625,
-0.050537109375,
-0.0478515625,
-0.0625,
0.041015625,
0.11279296875,
-0.0020599365234375,
0.0458984375,
-0.061279296875,
0.0286865234375,
0.050048828125,
0.00885009765625,
-0.0130615234375,
-0.0247802734375,
-0.0311279296875,
0.046875,
-0.038330078125,
-0.1108398437... | 26,189 | 26189 | |
Simplifying a trig identity
November 28th 2012, 05:20 PM #1
Newbie
Joined
Dec 2011
Posts
14
Thanks
1
Simplifying a trig identity
Simplify the expression:
cos(θ + π/6) - sin (θ + π/6)
Write your answer as an exact value.
I'm taking grade 12 math through an independent learning course an... | 4 | [
-0.05517578125,
0.002105712890625,
-0.0211181640625,
0.0093994140625,
-0.03662109375,
0.039794921875,
-0.0184326171875,
0.01202392578125,
0.06640625,
0.01171875,
0.0439453125,
-0.04638671875,
-0.01385498046875,
-0.0289306640625,
0.0673828125,
0.0020599365234375,
-0.0849609375,
0.09... | 26,190 | 26190 | |
inf and sup of a compact subset of R
February 28th 2010, 07:52 PM #1
Junior Member
Joined
Feb 2010
Posts
35
inf and sup of a compact subset of R
Let K be a compact set
I have to show that for some a, b in K, we can show |a-p| = inf{|x-p|: x in K} and |b-p|=sup{|x-p|: x in K}
My proof
Since K... | 4 | [
0.0281982421875,
0.047607421875,
-0.037109375,
-0.054931640625,
0.044677734375,
0.07568359375,
0.1748046875,
0.0186767578125,
-0.08642578125,
0.01397705078125,
-0.046630859375,
0.05810546875,
0.06884765625,
0.01123046875,
0.02685546875,
0.00762939453125,
0.030029296875,
-0.01904296... | 26,191 | 26191 | |
Parametric equation of an ellipse
April 10th 2010, 01:39 PM
dolkam
Parametric equation of an ellipse
Can somebody please help me if the following is correct:
I must give parametric equations for the following ellipses:
1) 3x^2 + 5y^2 = 75
Since a=5 and b=sqrt(15), is this my correct answer:
x ... | 4 | [
-0.0966796875,
-0.011474609375,
-0.06396484375,
-0.07470703125,
0.0279541015625,
-0.00909423828125,
-0.02734375,
0.01361083984375,
0.04052734375,
-0.029541015625,
0.1376953125,
0.03271484375,
-0.05078125,
0.05029296875,
0.033447265625,
0.1064453125,
-0.060791015625,
-0.040771484375... | 26,192 | 26192 | |
not sure if it is algebra...
September 13th 2010, 06:22 AM #1
Super Member
not sure if it is algebra...
if i multiply all by 3x-7 it would be, 6x+7/3x-7=2? then what would i do?
Dear andyboy179,
First multiply both sides of the equation by 3x-7. Afterwards you can substract 2x from both sides. Hope you... | 4 | [
-0.057861328125,
0.0120849609375,
0.0537109375,
0.0771484375,
-0.0289306640625,
0.055419921875,
-0.052734375,
0.026123046875,
-0.033447265625,
0.007720947265625,
-0.00775146484375,
-0.158203125,
0.041259765625,
0.01513671875,
-0.046142578125,
0.03271484375,
-0.07177734375,
0.083496... | 26,193 | 26193 | |
Advanced Stochastic Modeling of Railway Track Irregularities
Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 401637, 7 pages
http://dx.doi.org/10.1155/2013/401637
Research Article
Advanced Stochastic Modeling of Railway Track Irregularities
^1Department of Industrial Engineering, Tsinghua Universit... | 4 | [
-0.0242919921875,
-0.0247802734375,
0.08447265625,
0.07958984375,
-0.012451171875,
-0.07421875,
-0.017578125,
0.04541015625,
-0.033203125,
-0.06689453125,
0.005615234375,
0.04541015625,
0.049560546875,
-0.033447265625,
-0.1005859375,
0.051513671875,
0.0771484375,
0.037353515625,
... | 26,194 | 26194 | |
Solving a trigonometric equation
note that this is the same as $5 \cos^2 \theta - 4 \cos \theta - 2 = 0$. now, note that this is a quadratic equation in $\cos \theta$. to see this easier, let $y = \cos \theta$, then you have $5y^2 -
4y - 2 = 0$ now solve for $y$, and then set it equal to $\cos \theta$ to solve for $\th... | 4 | [
-0.006011962890625,
-0.04541015625,
0.0537109375,
-0.017578125,
-0.039794921875,
-0.002166748046875,
-0.0291748046875,
0.083984375,
0.056640625,
-0.04345703125,
0.1201171875,
0.0159912109375,
-0.006195068359375,
0.07275390625,
-0.0341796875,
0.07666015625,
-0.025634765625,
-0.01373... | 26,195 | 26195 | |
ordered pair!!
January 6th 2008, 01:07 PM #1
Newbie
Joined
Jan 2008
Posts
3
ordered pair!!
Determine the number of ordered pairs (A,B), where A is a subset of B and B is a subset of {1,2,....,n}.
For a particular subset $B \subseteq \left\{ {1,2,3, \cdots ,n} \right\}$ and B has k elements then ther... | 5 | [
0.0211181640625,
-0.0218505859375,
0.0059814453125,
0.01361083984375,
0.0081787109375,
0.06884765625,
0.0546875,
-0.02294921875,
-0.0189208984375,
0.030517578125,
-0.10546875,
-0.002838134765625,
0.0712890625,
-0.0732421875,
0.04443359375,
0.1240234375,
0.0184326171875,
-0.08203125... | 26,196 | 26196 | |
Nonlinear Electrical Circuit Oscillator Control Based on Backstepping Method: A Genetic Algorithm Approach
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 597328, 14 pages
http://dx.doi.org/10.1155/2012/597328
Research Article
Nonlinear Electrical Circuit Oscillator Control Based on Backstepping M... | 4 | [
-0.09130859375,
0.0218505859375,
0.00054931640625,
0.04150390625,
-0.09619140625,
-0.0164794921875,
-0.04736328125,
-0.006805419921875,
-0.0281982421875,
0.0096435546875,
0.023681640625,
-0.01348876953125,
0.08642578125,
-0.0986328125,
-0.12109375,
0.080078125,
-0.0673828125,
-0.00... | 26,197 | 26197 | |
the encyclopedic entry of skin friction drag
In
physics
and
fluid mechanics
, a
boundary layer
is that layer of
fluid
in the immediate vicinity of a bounding surface. In the
Earth's atmosphere
, the
planetary boundary layer
is the air layer near the ground affected by diurnal heat, moisture or momentum tran... | 4 | [
-0.0223388671875,
0.0038299560546875,
0.06494140625,
-0.001983642578125,
0.055908203125,
-0.010009765625,
0.010009765625,
0.0162353515625,
0.09814453125,
-0.04833984375,
-0.046875,
-0.06640625,
-0.0269775390625,
0.001556396484375,
-0.019287109375,
-0.0869140625,
-0.03759765625,
-0.... | 26,198 | 26198 | |
HP 15C RPN How To
What is RPN?
• RPN stands for Reverse Polish Notation. RPN was developed in 1920 by the Polish mathematician Jan Lukasiewicz as a way to write a mathematical expression without using parentheses.
Why use RPN?
• RPN is more efficient for both the user and the calculator.
□ When you use RPN... | 5 | [
-0.1416015625,
0.015625,
0.001617431640625,
0.009033203125,
-0.10107421875,
-0.00872802734375,
-0.06591796875,
0.1171875,
0.05029296875,
0.0174560546875,
0.01611328125,
0.041748046875,
-0.0189208984375,
0.08544921875,
-0.0615234375,
-0.0164794921875,
-0.052978515625,
0.031982421875... | 26,199 | 26199 |