content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
The Purplemath Forums
The above post is correct, add bx to both sides and multiply by 1/x to get x+18/x=b Plug in any value of x to get a valid value for b. For example when x=1 then b=19 so x^2 -19x+18=0 is a solution.
This solution is factorable as (x-1)(x-18). Another solution is x=-1 which gives b=-19 and the quadr... | 4 | [
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0.0703125,
0.040771484375,
-0.037841796875,
-0.0... | 24,300 | 24300 | |
Crime Busting Model Based on Dynamic Ranking Algorithms
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 308675, 10 pages
http://dx.doi.org/10.1155/2013/308675
Research Article
Crime Busting Model Based on Dynamic Ranking Algorithms
^1College of Telecommunications and Information Engineering, Nanjing Uni... | 4 | [
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-0.055908203125... | 24,301 | 24301 | |
Solving an inequality
September 12th 2009, 08:29 AM #1
Member
Joined
May 2008
Posts
101
Solving an inequality
Let x and y be positive real numbers. Prove that:
$(p + 2)(q + 2)(p + q) \geq 16pq$
I'm not sure how to approach this. Do I simplify/expand somehow or is there a special thing I should ... | 5 | [
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0.02233886718... | 24,302 | 24302 | |
Prove Function is Discontinuous Using Sequences
October 3rd 2007, 02:49 PM #1
Member
Joined
Jan 2007
Posts
114
Prove Function is Discontinuous Using Sequences
Hi I have to proove this function is discontinuous at x=0 using the formual definition of continuity:
{ 1 / squareroot(-x) x<0
f(x) = { ... | 4 | [
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-0.099121093... | 24,303 | 24303 | |
A Crack Identification Method for Bridge Type Structures under Vehicular Load Using Wavelet Transform and Particle Swarm Optimization
Advances in Acoustics and Vibration
Volume 2013 (2013), Article ID 634217, 10 pages
http://dx.doi.org/10.1155/2013/634217
Research Article
A Crack Identification Method for Bridge Type... | 4 | [
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Why is the sum of 1-2+3-4+... is 1/4?
April 25th 2010, 09:34 AM #16
Clearly this diverges by nth term test. But what i'm not understanding is that the proofs provided on wikipedia make sense also! they even provide a proof to the following: $1-1+1-1+1-1+... = \
frac{1}{2}$!!! HOW IN THE WORLD CAN THIS BE EXPLA... | 4 | [
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The Gram-Schmidt orthonormalization process (original content, x-post from /r/mathpics) • /r/math
all 39 comments
[–]RockofStrength3 points4 points5 points
sorry, this has been archived and can no longer be voted on
[–]lucasvb[S] 9 points10 points11 points
sorry, this has been archived and can no longer be voted on... | 4 | [
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Probability Word Problem involving Inequalities
April 8th 2011, 04:01 PM #1
Junior Member
Joined
Nov 2010
Posts
57
Probability Word Problem involving Inequalities
Leah is asked to get a red sleeping bag out of the back seat of her mother's car. There are 7 sleeping bags in the car, only 2 of which are re... | 4 | [
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... | 24,307 | 24307 | |
Extended Binomial Fractional Powers
November 4th 2011, 10:14 PM
terrorsquid
Extended Binomial Fractional Powers
I'm trying to understand how the binomial theorem can be applied to expand polynomials to fractional powers. I can sought of piece it together without using the theorem, but when I try to use the
t... | 5 | [
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Using the difference quotient?
May 16th 2010, 10:51 AM #1
Newbie
Joined
May 2010
Posts
11
Using the difference quotient?
Hi! I'm new to Math Help Forums, so you'll have to forgive me if I don't do things correctly. I'm not quite sure how to post math icons either =/
So, I just have a basic differenc... | 4 | [
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les and
Comments
For Proceedings of the Sixth Oslo-Silivri Workshop, Geilo, Norway, July 29-August 4, 1996 (Invited presentation of six hourly lectures), Published in Stochastic Analysis and Related Topics VI. The
Geilo Workshop, 1996, Progress in Probability, vol. 42; ed. L. Decreusefond, Jon Gjerde, B. Oksendal, A.... | 4 | [
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-0.... | 24,310 | 24310 | |
Radiation Mitigation for Power Line Communications Using Time Reversal
Journal of Electrical and Computer Engineering
Volume 2013 (2013), Article ID 402514, 9 pages
http://dx.doi.org/10.1155/2013/402514
Research Article
Radiation Mitigation for Power Line Communications Using Time Reversal
^1Orange Labs Networks, 2 ... | 4 | [
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Regularity of Dual Gabor Windows
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 747268, 8 pages
http://dx.doi.org/10.1155/2013/747268
Research Article
Regularity of Dual Gabor Windows
^1Department of Applied Mathematics and Computer Science, Technical University of Denmark, Building 303, 2800 Lyngby, D... | 4 | [
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alg 2 conics
April 8th 2007, 09:01 PM #1
alg 2 conics
if possible help me step by step. i need to understand this.
Find the equation of the hyperbola described:
(a) foci (0, +-3) asymptotes y = +- 3/4
(b) center (-1, 3) vertices (-4,3) and (2,3) foci (-6,3) and (4,3)..
very confused. anyone?
... | 4 | [
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Hello everyone, I need your help...
June 18th 2008, 04:32 PM #1
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Jun 2008
Posts
1
Hello everyone, I need your help...
Hello, studying for a test and I have a review question that I just can't seem to get.. if anyone can help me it would be greatly appreciated...
A container of oil is su... | 4 | [
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Summarising an Equation
July 14th 2010, 06:39 AM #1
Junior Member
Joined
Mar 2009
Posts
42
Summarising an Equation
Hi,
Can someone please explain on how the below equations were summarised?
I can see in the above equation that 3 is common to all the elements so that can go outside the bra... | 5 | [
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-0.... | 24,315 | 24315 | |
Calc FTC with piecewise?
November 23rd 2008, 08:46 AM #1
Member
Joined
Oct 2008
Posts
76
Calc FTC with piecewise?
I'm super confused about what is going on here. I got an email from my prof with an explanation that left me even more lost. Here's the question:
Let f(x) =
0 if x<-4
4 if -4<= x... | 4 | [
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0.078125,
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-... | 24,316 | 24316 | |
Telescoping Sum
May 9th 2010, 04:32 PM #1
Newbie
Joined
Sep 2009
Posts
22
Telescoping Sum
I have a problem similar to this this thread
http://www.mathhelpforum.com/math-he...um-series.html
But my problem is
infinity
$<br /> \sum,(\frac{1}{n(n+2)})<br />$
n=1
And I know that you... | 4 | [
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0.... | 24,317 | 24317 | |
Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 363051, 17 pages
http://dx.doi.org/10.1155/2012/363051
Research Article
Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay
^1Department of Mathemat... | 5 | [
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0.0206298828125,
0.01055908203125,
0.005340576171875,
-0.04931... | 24,318 | 24318 | |
the encyclopedic entry of inter convertible
In physics, mass–energy equivalence is the concept that for particles slower than light any mass has an associated energy and vice versa. In special relativity this relationship is expressed using
the mass–energy equivalence formula
$E = mc^2,$
where
* E = energy,
... | 4 | [
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0.08154296875,
0.... | 24,319 | 24319 | |
Chapter 45. Options Pricing on the GPU
GPU Gems 2
GPU Gems 2
is now available, right here, online. You can
purchase a beautifully printed version of this book
, and others in the series, at a 30% discount courtesy of InformIT and Addison-Wesley.
Please visit our
Recent Documents
page to see all the latest whitep... | 4 | [
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-0.0327148... | 24,320 | 24320 | |
Help with optimization problem
November 6th 2007, 06:03 AM #1
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Nov 2007
Posts
17
Help with optimization problem
Hi,
I'm having problems with optimization, the book calls this section optimization II.
Problem 1:
Packaging . By cutting away identical squares from each corner of a... | 5 | [
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0.0478515625,
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0.0400390625,
0.03369140625,
-0.0228271... | 24,321 | 24321 | |
Numerical Modeling and Simulation of Wind Blown Sand Morphology under Complex Wind-Flow Field
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 590358, 10 pages
http://dx.doi.org/10.1155/2014/590358
Research Article
Numerical Modeling and Simulation of Wind Blown Sand Morphology under Complex Wind-Flow Fi... | 4 | [
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... | 24,322 | 24322 | |
Change of coordinate matrix, new basis
July 11th 2011, 07:23 PM #1
Junior Member
Joined
May 2011
Posts
59
Change of coordinate matrix, new basis
I've been working on the following problem:
"Let $V$ be a finite-dimensional vector space over a field $F$, and let $\beta=\{x_1, ..., x_n\}$ be an ordered... | 4 | [
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0.037109375,
0.072265... | 24,323 | 24323 | |
How to calculate Weighted Average for price increase/decrease
May 12th 2008, 05:11 AM #1
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May 2008
Posts
2
How to calculate Weighted Average for price increase/decrease
Hello,
I have been asked recently by my manager to provide some analysis to the average price increase/decrease for our... | 4 | [
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-0.01385498046875,
0.09130859375... | 24,324 | 24324 | |
proof about ....
September 27th 2009, 03:52 PM #1
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19
proof about ....
the notation a≡b (mod n) to mean that a and b are both represented by
the same element of Zn (under addition (mod n)). Show that a≡b (mod n) if and only if n divide (b-a)
Assume $a \equiv b (mod n)... | 4 | [
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-0.00323486328125,
-0.003707... | 24,325 | 24325 | |
equation for stream's path
June 7th 2007, 05:20 AM #1
Newbie
Joined
Jun 2007
Posts
3
equation for stream's path
Hi, i'm new.
I have a question that gives me the equation of a hill:
h(x,y)=40/(4+x^2+3y^2)
I need to find an equation for the path of a stream that follows the path of steepest des... | 4 | [
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0.0830078125,
-0.1123046875,
0.... | 24,326 | 24326 | |
Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 323186, 23 pages
http://dx.doi.org/10.1155/2012/323186
Research Article
Dynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System
^1College of Mathematics and Information... | 5 | [
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0.08056640625,
-0.039794921875,
0.0096435546875,
0.03857421875,
-0.0673828125,
0.0135498046875,
0.0025787353... | 24,327 | 24327 | |
Infinite product of a sequence of real numbers
October 7th 2007, 04:44 PM #1
Newbie
Joined
Sep 2007
From
Wisconsin
Posts
12
Infinite product of a sequence of real numbers
I'm not sure what this is defined as, so I'm putting this here for lack of better knowledge.
I'm working on problems involvin... | 5 | [
-0.1318359375,
-0.028564453125,
-0.068359375,
-0.0177001953125,
-0.04541015625,
0.0203857421875,
0.052490234375,
0.0279541015625,
0.046875,
-0.0269775390625,
-0.041748046875,
0.02490234375,
0.04541015625,
0.0181884765625,
-0.0400390625,
0.029296875,
-0.021728515625,
0.0033721923828... | 24,328 | 24328 | |
A Local World Evolving Model for Energy-Constrained Wireless Sensor Networks
International Journal of Distributed Sensor Networks
Volume 2012 (2012), Article ID 542389, 9 pages
http://dx.doi.org/10.1155/2012/542389
Research Article
A Local World Evolving Model for Energy-Constrained Wireless Sensor Networks
College ... | 4 | [
0.0228271484375,
0.0252685546875,
0.02490234375,
0.08935546875,
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0.08251953125,
-0.0732421875,
... | 24,329 | 24329 | |
how high was the ball dropped?
December 18th 2010, 03:54 PM #1
how high was the ball dropped?
Can anybody help me on this problem please ?
A ball rebounds each time to a height which is half that of the previous
one. If the total distance traveled before coming to rest is 72 meters,
from how high was... | 4 | [
0.0191650390625,
0.0194091796875,
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0.0296630859375,
-0.10888671875,... | 24,330 | 24330 | |
expected values
October 7th 2009, 07:54 PM #1
Newbie
Joined
Oct 2009
Posts
24
A book store orders only 3 copies of a certain math book per month, because the manger does not believe that more will be sold. If the number of requests follows a Poisson distribution with mean
36 per year,
1. what is ... | 5 | [
0.0625,
-0.0380859375,
0.004608154296875,
-0.0419921875,
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0.0732421875,
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0.0947265625,
0.05029296875,
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0.06640625,
-0.0115966796875,
-0.051025390625,
-0.1044921875,
-0.09... | 24,331 | 24331 | |
ational Number
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ┃
... | 4 | [
0.0087890625,
-0.0245361328125,
0.047119140625,
-0.031005859375,
0.01556396484375,
0.08251953125,
0.03857421875,
0.06103515625,
0.0439453125,
-0.03271484375,
0.02880859375,
0.0001850128173828125,
0.02587890625,
-0.06689453125,
-0.02001953125,
0.011962890625,
-0.08349609375,
-0.0317... | 24,332 | 24332 | |
prime ideal, integral domain proof
October 21st 2012, 02:18 AM
rayman
prime ideal, integral domain proof
I am going through the following proof and I need some explanation
Thm: Let A be a commutative ring, an ideal $P\subset A$ is prime iff $A/P$ is an integral domain.
Proof:
$(\Rightarrow)$ Assume t... | 5 | [
-0.027587890625,
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0.09765625,
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0.0133056640625,
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0.0302734375,
0.02734375,
0.03662109375,
-0.0078125,
-0.0098876953125,
-0.00399... | 24,333 | 24333 | |
Fourier sine and cosine series of x(Pi-x)
December 28th 2009, 03:35 AM #1
Newbie
Joined
Dec 2009
From
North Wales when at home, Durham when at uni
Posts
2
Fourier sine and cosine series of x(Pi-x)
f(x) = x(π –x) on [0, π]
Find:
a)Odd completion (sine series)
f(x) ~ ∑bnsin(nx) where bn= 2... | 4 | [
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0.037353515625,
0.05419921875,
0.072265625,
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0.00167083740234375,
0.025146484375,
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0.08447265625,
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-0.0113525390625,
-0.0390625,
0.01239013671875,
-0.12255859375,
0.00118255615234375... | 24,334 | 24334 | |
Concerning the Sharpness of Blades
A high level of sharpness of cutting tools is preferable, just as it is for edged weapons. While tools are generally used in well defined situations for which they are optimised, edged weapons,
particularly those with longer blades, have to meet conflicting requirements. Within the s... | 4 | [
0.00830078125,
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0.0308837890625,
-0.08154296875,
0.046630859375,
-0.04174804687... | 24,335 | 24335 | |
th Mean Practical Stability for Large-Scale Itô Stochastic Systems with Markovian Switching
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 573439, 11 pages
http://dx.doi.org/10.1155/2012/573439
Research Article
pth Mean Practical Stability for Large-Scale Itô Stochastic Systems with Markovian Swi... | 4 | [
-0.0242919921875,
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0.000591278076171875,
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0.01116943359375,
-0.08447265625,
-0.055908203125,
0.09912109375,
-0.00... | 24,336 | 24336 | |
circle geometry help 4
May 22nd 2010, 01:15 AM #5
Junior Member
May 21st 2010, 11:59 PM #4
Super Member
May 21st 2010, 05:38 PM #3
Junior Member
May 21st 2010, 10:57 AM #2
Junior Member
May 21st 2010, 07:19 AM #1
Junior Member
im really sorry about this but im not sure what to do im not very good at circl... | 4 | [
0.053955078125,
0.1201171875,
-0.00543212890625,
-0.054931640625,
-0.01092529296875,
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0.09228515625,
0.031494140625,
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0.0849609375,
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0.01300048828125,
-0.0634765625,
0.00747... | 24,337 | 24337 | |
ode45 Matlab
November 26th 2008, 08:41 PM #1
Senior Member
Joined
Nov 2008
Posts
461
ode45 Matlab
Hello everyone!
I need to solve a IVP, for example
$\dot{x} = x + 2\dot{y} + y$
$\dot{y} = y - 2\dot{x} + 5x$
x(0) = 0.995
y(0) = 0
(I actually don't know if there is a solution.... | 5 | [
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0.08447265625,
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0.028564453125... | 24,338 | 24338 | |
99 questions/21 to 28
From HaskellWiki
< 99 questions
(Difference between revisions)
(typo) (→Problem 22: formatting)
... | 5 | [
-0.03955078125,
0.06396484375,
0.07421875,
0.000499725341796875,
-0.03369140625,
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0.0218505859375,
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0.039794921875,
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0.016845703125,
-0.0849609375,
-... | 24,339 | 24339 | |
Relations and Functions.
September 26th 2010, 04:44 PM #1
Junior Member
Joined
Nov 2009
Posts
38
Relations and Functions.
A salesman has a base salary of $28,000 and earns in a addition 5% commission per unit for the first 100 units sold, 7.5% per unit for the next 100 units sold and 12% per unit for any... | 4 | [
0.00872802734375,
-0.002838134765625,
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0.0247802734375,
-0.0673828125,
0.087890625,
-0.01458740234375,
-0.06396484375,
0.09423828125,
0.07080078125,
0.043212890625,
0.08642578125,
-0.035400390625,
-0.0368652... | 24,340 | 24340 | |
the encyclopedic entry of Horn clauses
In
formal logic
,
Horn-satisfiability
, or HORNSAT, is the problem of deciding whether a given set of propositional
Horn clauses
is satisfiable.
A Horn clause is a clause with at most one positive literal, called the head of the clause, and any number of negative literals, ... | 4 | [
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-0.03955078125,
-0.... | 24,341 | 24341 | |
limit when a>>x
April 10th 2011, 12:55 PM
hurz
limit when a>>x
I'm not getting the algebric trick to do this limit, when $a>>x$
$\frac{1}{a}\ln(\frac{\sqrt{a^2+x^2} + a}{\sqrt{a^2+x^2} - a})$
In a similar question i did the taylor expansion with 2 terms: $(1+b)^n=1+nb$ for $b<<1$, and it worked fine (i t... | 5 | [
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0.0079345703125,
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0.072265625,
-0.043701171875,
-0.05883... | 24,342 | 24342 | |
Study on the Road Network Connectivity Reliability of Valley City Based on Complex Network
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 430785, 14 pages
http://dx.doi.org/10.1155/2012/430785
Research Article
Study on the Road Network Connectivity Reliability of Valley City Based on Complex Netw... | 4 | [
0.025390625,
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0.07861328125,
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0.0224609375,
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0.045654296875,
-0.03369140625,
0.05029296875,
0.0556640625,
-0.046386... | 24,343 | 24343 | |
Diffusion Approximations of the Geometric Markov Renewal Processes and Option Price Formulas
International Journal of Stochastic Analysis
Volume 2010 (2010), Article ID 347105, 21 pages
http://dx.doi.org/10.1155/2010/347105
Research Article
Diffusion Approximations of the Geometric Markov Renewal Processes and Option... | 4 | [
-0.0302734375,
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0.052490234375,
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0.0130615234375,
-0.01953125,
-0.060302734375,
-0.074... | 24,344 | 24344 | |
Advanced Calculus - Convergence Sequence Problem
October 15th 2006, 09:06 PM
tttcomrader
Advanced Calculus - Convergence Sequence Problem
I had been trying to solve these problems for the entire weekend, and I just can't think of anything that would work, please help!!!
#1. Let c be a real number. Prove tha... | 5 | [
-0.0303955078125,
0.00074005126953125,
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0.01373291015625,
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0.00787353515625,
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-0.111328125,
-0.0908203125,
0.011962890625,
-0.0147705078125,
-0.018310546875,
0.0240478515625,... | 24,345 | 24345 | |
Stability Test with respect to the Characteristic Impedance
International Journal of Microwave Science and Technology
VolumeΒ 2012Β (2012), Article IDΒ 865625, 4 pages
http://dx.doi.org/10.1155/2012/865625
Research Article
Invariance Property of the Stability Test with respect to the Characteristic Impedance
^1Elec... | 4 | [
-0.039794921875,
0.01434326171875,
0.0076904296875,
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0.048583984375,
-0.0255126953125,
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0.0172119140625,
0.... | 24,346 | 24346 | |
Posts about modeling on Hindered Settling
Grain settling is one of the most important problems in sedimentology (and therefore sedimentary geology), as neither sediment transport nor deposition can be understood and modeled without knowing
what is the settling velocity of a particle of a certain grain size. Very small ... | 5 | [
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0.0322265625,
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... | 24,347 | 24347 | |
Trig derivative questions.
$I\ have\ an\ equation\ and\ solution.\ I'm\ unclear\ on\ a\ couple\ of\ things.$
$An\ analysis\ of\ the\ motion\ of\ a\ particle\ resulted\ in\ the\ differential\ equation$
$\frac{d^2y}{dt^2}\ +\ b^2y\ =\ 0$
$Show\ that\ y=a\ sin\ bx\ is\ a\ solution\ of\ this\ equation.$
... | 4 | [
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0.08544921875,
-0.0390625,
-0... | 24,348 | 24348 | |
Monetary Policy & Credit Easing pt. 7: R Econometrics Tests
January 1, 2012
By Steven Sabol
In post 6 we introduced some econometrics code that will help those working with time-series to gain asymptoticly efficient results. In this post we look at the different commands and libraries
necessary for testing our assum... | 4 | [
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-0.019287109375,
-0.033447265625... | 24,349 | 24349 | |
Power function
From HaskellWiki
(Difference between revisions)
← Older edit
(4 intermediate revisions by 2 users not shown)
Line 7: ... | 4 | [
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0.053955078125,
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0.004791259765625... | 24,350 | 24350 | |
Hyperbola
June 4th 2010, 06:48 PM #1
Newbie
Joined
May 2010
Posts
10
Hyperbola
-x^2 + y^2 -2x -12y + 31 =0
(y^2-12y +36) - (x^2 -2x +1) = -31 +36 -1
(y-6)^2/4 -(x-1)^2/4 =1
Did I do this right?
You have made a mistake...
$-x^2 + y^2 - 2x - 12y + 31 = 0$
$y^2 - 12y - (x^2 + 2... | 4 | [
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0.00927734375,
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0.07666015625,
-0.0791015625,
-0.0625,
0.01586... | 24,351 | 24351 | |
On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 165452, 12 pages
http://dx.doi.org/10.1155/2012/165452
Research Article
On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations
^1Department of Applied Mathe... | 5 | [
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-0.019165... | 24,352 | 24352 | |
A Finite Element Method for the Multiterm Time-Space Riesz Fractional Advection-Diffusion Equations in Finite Domain
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 868035, 15 pages
http://dx.doi.org/10.1155/2013/868035
Research Article
A Finite Element Method for the Multiterm Time-Space Riesz Fractiona... | 4 | [
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-0.07275390625,
... | 24,353 | 24353 | |
Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through
International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 753965, 8 pages
http://dx.doi.org/10.1155/2013/753965
Research Article
Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
... | 5 | [
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-0.032958984375,
-0.0424... | 24,354 | 24354 | |
x^7 = 12 mod 29 (primitive roots)
April 23rd 2010, 02:56 PM
santiagos11
x^7 = 12 mod 29 (primitive roots)
I need to solve the following problem:
"=" means is congruent to.
x^7 = 12 mod 29
This is what I have:
I am using q=2 as the primitive root mod 29.
7*I(x)=I(12) mod 28
7*I(x)=7 mod 2... | 5 | [
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0.0595703125,
-0.09619140625,
-0.0023193... | 24,355 | 24355 | |
Could use some help with a rhombus question
January 24th 2008, 10:59 AM #1
Junior Member
Joined
Dec 2007
Posts
34
Sigh... I'm doing independant study to get some much needed math credits and I'm starting to get a feeling that the work material was designed for the sole purpose of testing my sanity. The ke... | 4 | [
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0.0234375,
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A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 137468, 7 pages
http://dx.doi.org/10.1155/2014/137468
Research Article
A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers
^1Mathematics Section... | 5 | [
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On Generalized Bazilevic Functions Related with Conic Regions
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 982321, 10 pages
http://dx.doi.org/10.1155/2012/982321
Research Article
On Generalized Bazilevic Functions Related with Conic Regions
Department of Mathematics, COMSATS Institute of Information... | 5 | [
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discrete topology, product topology
December 6th 2008, 10:03 AM #1
Newbie
Joined
Dec 2008
Posts
6
discrete topology, product topology
My friend and I are still stuck on:
For each $n \in \omega$, let $X_n$ be the set $\{0, 1\}$, and let $\tau_n$ be the discrete topology on $X_n$. For each of the foll... | 4 | [
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0.0211181640625... | 24,359 | 24359 | |
Why the square root algorithm works
You are here: Home → Articles → Why square root algorithm works
Why the square root algorithm works
- the logic behind it
In a nutshell:
Let's say we are to find the square root of a. The algorithm is finding one more digit to the square root at each 'go'. (Read here how to use th... | 4 | [
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Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 853127, 9 pages
http://dx.doi.org/10.1155/2013/853127
Research Article
Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion ... | 5 | [
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Black-Litterman Model
November 15, 2011
By systematicinvestor
The Black-Litterman Model was created by Fisher Black and Robert Litterman in 1992 to resolve shortcomings of traditional Markovitz mean-variance asset allocation model. It addresses following two
items:
• Lack of diversification of portfolios on the m... | 4 | [
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Greatest lower bound and lower bounds
October 13th 2009, 11:30 AM #1
Junior Member
Joined
Jan 2009
Posts
70
Greatest lower bound and lower bounds
R={1/n: n in N}
Cans some one please explain to me why
1. Set of all lower bounds of R is {x:x in R and x<= 0}
2. the greatest lower bound is 0.... | 4 | [
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Maximum and minimum values
November 19th 2008, 03:00 AM
koalamath
Maximum and minimum values
find the max and min values of the function f(x,y,z,t)= (x+y+z+t) subject to the constraint $x^2+y^2+z^2+t^2=49$
I have never calculated for t before and I'm thrown off as how to do it.
You get no critical points... | 5 | [
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Math question
November 15th 2006, 05:36 PM #3
Member
November 15th 2006, 05:33 PM #2
November 15th 2006, 04:58 PM #1
Member
yes in deed
are you the same mr. green that posted this?
Because you certainly have asked a lot of questions
are you the same mr. green that posted
this
?
Because you certain... | 4 | [
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The EH Interpolation Spline and Its Approximation
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 745765, 6 pages
http://dx.doi.org/10.1155/2014/745765
Research Article
The EH Interpolation Spline and Its Approximation
^1Department of Mathematics and Physics, Hefei University, Hefei 230601, China
^2Depa... | 4 | [
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Exponents .. logic.. please explain !
Priyanka2011 wrote:
Hai.. sorry for the bad usage of syntax.. yeah what you have inferred is absolutely right !
[(x+4)^2]^(1/2) = 3
If the problem is as above, how is x=-7 ( i get the other part being simple ! )
Well, there are a few ways to approach this ---- the straightforwa... | 4 | [
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Lusin Theorem.
December 21st 2011, 04:45 AM #1
Junior Member
Joined
Mar 2010
Posts
45
Lusin Theorem.
I have a doubt in the proof of lusin theorem. Before i ask the question, let me state down the proof first.
Lusin Theorem : If f is a measurable function on A where m(A)< $\infty$, then given any $\v... | 5 | [
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Number of ways in which 7 distinct objects can be put..?
May 27th 2009, 09:49 AM #1
Number of ways in which 7 distinct objects can be put..?
Find the number of ways in which 7 distinct objects can be put in three identical boxes so that no box remains empty.
This is similar to a problem i had in an old cours... | 5 | [
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Sum of Prime Numbers
Show $\sum_{i=1}^n p_i \sim \frac12n^2\log n$ where $p_i$ is the $i^{th}$ prime number.
I came up with two methods. Is one of them the one you used? Method 1: (I prefer this one, as it "finds" the asymptote) Using $p_n \sim n \ln n$ : $<br /> \sum_{k=1}^n p_k \sim \sum_{k=1}^n k\ln k =
\ln \prod_{... | 5 | [
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Surjectivity of a natural ring homomorphism
February 22nd 2008, 02:34 AM #1
Newbie
Joined
Feb 2008
Posts
20
Surjectivity of a natural ring homomorphism
Hi,
I am stuck on a question, I think I know the process required to solve it as we covered a similar example in class. I'm just a bit stuck...
... | 5 | [
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On the Conharmonic Curvature Tensor of Generalized Sasakian-Space-Forms
ISRN Geometry
Volume 2012 (2012), Article ID 876276, 14 pages
http://dx.doi.org/10.5402/2012/876276
Research Article
On the Conharmonic Curvature Tensor of Generalized Sasakian-Space-Forms
^1Department of Pure Mathematics, University of Calcutta... | 5 | [
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Math Help
September 24th 2007, 12:05 AM #1
Junior Member
Joined
Jan 2006
Posts
37
Gamma(i)
Express Gamma(i) in terms of elementary functions, if possible.
(i is the imaginary unit and Gamma is Euler's Gamma Function)
(Elementary functions are as defined in Wickepedia)
Bob.
Last edited... | 4 | [
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Need help with a derivitive problem
November 19th 2007, 09:01 AM
stanger4jo
Need help with a derivitive problem
I'm getting lost in the algebra. Can somebody please help me!
I'm trying to get a derivitive of:
x(x^2-6x+16)/(x-2)^3
I've gotten this far:
(x-2)^3(2x-6)-(x^2-6x+16)3(x-2)/((x-2)^2)^... | 5 | [
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0.052... | 24,374 | 24374 | |
me
The following instructions have been taken, with minor editing, from: Minor, Ralph S. Physical Measurements: A Laboratory Manual in General Physics for Colleges. Part II: Heat, Mechanics and
Properties of Matter. Berkeley, Calif. (1919) pp. 26-30.
... | 4 | [
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0.026245117187... | 24,375 | 24375 | |
Complex Power Series
April 20th 2010, 06:31 AM #1
Newbie
Joined
Mar 2010
Posts
16
Complex Power Series
Hi, how are you supposed to represent f(z) = sin(z)/z as a power series of the form sigma c_n z^n ? I have in my notes a formula for this when f is holomorphic in a ball centred at 0, but clearly
he... | 4 | [
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Identities - Finding Unlnown Coefficients
May 23rd 2012, 06:04 AM
GrigOrig99
Identities - Finding Unlnown Coefficients
Having a bit of trouble with this one. Can anyone help?
Many thanks.
Q. Find the values of a & b if $(2x+a)^2 = 4x^2+12x+b$, for all x.
Attempt: $4x^2+4xa+a^2 = 4x^2+12x+b$
$4... | 4 | [
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0.03759765625,... | 24,377 | 24377 | |
A Comparative Study of Data Transformations for Wavelet Shrinkage Estimation with Application to Software Reliability Assessment
Advances in Software Engineering
Volume 2012 (2012), Article ID 524636, 9 pages
http://dx.doi.org/10.1155/2012/524636
Research Article
A Comparative Study of Data Transformations for Wavele... | 4 | [
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Length of an Archimedean Spiral
By Murray Bourne, 21 Sep 2011
Reader Anantha recently wrote asking the following interesting question:
To find the total length of a flat spiral having outer end radius = 15.5 units, inner radius = 5 units & the increase in radius per turn = 0.81 unit, the total No. of turns in th... | 5 | [
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0.04809... | 24,379 | 24379 | |
Convergence Problem... Problems
April 21st 2010, 07:00 PM #1
Newbie
Joined
Apr 2010
Posts
2
Convergence Problem... Problems
Currently taking integral calculus and I have a problem that I have no idea how to approach.
Given the integral from 1 to infinity of dx/(x^p *(ln(x))^a)
- For what values... | 5 | [
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-0.01831054687... | 24,380 | 24380 | |
tmoertel - Google challenge task and computing the digits of e
Now, one can find the digits of
e
online, or one can ask Mathematica to spit them out, but that wouldn't be as fun as computing them. I had recalled so-called "spigot algorithms" for computing
π
digit by digit, and I thought now would be a good time to ... | 4 | [
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0.0... | 24,381 | 24381 | |
the encyclopedic entry of Hyperreal_number
The system of hyperreal numbers represents a rigorous method of treating the ideas about infinite and infinitesimal numbers that had been used casually by mathematicians, scientists, and engineers
ever since the invention of calculus by Newton and Leibniz. The hyperreals, or n... | 4 | [
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Find derivative!
March 26th 2006, 11:49 AM #1
Member
Joined
Jan 2006
From
Gdansk, Poland
Posts
117
Find derivative!
The task is defined the following way:
"We have the function $f(x) = x^{x^{x^{\ldots}}}$
Find it's derivative!"
There is no more additional information about f(x) so, obvio... | 5 | [
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-0.04492... | 24,383 | 24383 | |
Combination Question
September 16th 2011, 02:55 AM #1
Newbie
Joined
Sep 2011
Posts
2
Combination Question
Hey guys, I'd appreciate any help on this stats question... working would also be appreciated so I can learn how its done
15 People have been given complementary tickets to 3 shows.
There a... | 4 | [
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... | 24,384 | 24384 | |
Oscillation of Second-Order Sublinear Impulsive Differential Equations
Abstract and Applied Analysis
VolumeΒ 2011Β (2011), Article IDΒ 458275, 11 pages
http://dx.doi.org/10.1155/2011/458275
Research Article
Oscillation of Second-Order Sublinear Impulsive Differential Equations
Department of Mathematics, Middle East ... | 5 | [
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... | 24,385 | 24385 | |
Dense-in-itself set
October 25th 2012, 05:40 PM #1
Junior Member
Joined
Jun 2011
Posts
73
Thanks
2
Dense-in-itself set
Let $E\subset \mathbb{R}^1$ be a non-empty countable set. Suppose $E$ has no isolated points, prove that $\bar E\backslash E$ is dense in $\bar E.$
It is difficult, isn't it?
R... | 5 | [
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i
ĐỐ VUI
Puzzle (1):
YIN OR YANG (by CLIFFORD A. PICKOVER)
Solution :
Puzzle (2):
SIRIUS GEOMETRY (by CLIFFORD A. PICKOVER)
Solution :
(In the first century A. D., Hero of Alexandria used a similar argument to conclude that when light is reflected from a mirror, the angles of incidence and reflection are... | 5 | [
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Harmonic Generation and Wave Mixing in Confinement Structures: An Account of Pump Depletion in Second-Order Nonlinear Multilayer Microcavities
Journal of Nanomaterials
Volume 2012 (2012), Article ID 943204, 12 pages
http://dx.doi.org/10.1155/2012/943204
Research Article
Harmonic Generation and Wave Mixing in Confinem... | 4 | [
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An interesting integral
February 17th 2009, 03:30 AM
simplependulum
An interesting integral
Integrate 1/sqrt[ (tan(x))^2 + (cot(x))^2 ] w.r.t. x
Do you think this integral is very beautiful ??
Try to solve and leave opinions for this , thank you
February 17th 2009, 04:18 AM
Mush
February 17th 2009, 07... | 5 | [
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Star Polygons
May 16th 2005, 04:18 AM #1
Star Polygons
Alice's netball squad warms up by spacing themselves equally around a circle, facing inwards, and doing the following exercises.
In the first exercise, each girl passes the ball to the first player on her left, starting and ending with Alice. In the seco... | 4 | [
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intersections of 3sin(2x) and y=2
February 7th 2010, 06:08 AM #1
Senior Member
Joined
Oct 2009
Posts
459
intersections of 3sin(2x) and y=2
I need to find the intersections of 3sin(2x) and y=2. I can expand sin(2x) with a double angle formula but I'm not getting the answers. The range is 0 - 360.
I p... | 4 | [
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An Extended Non-Lane-Based Optimal Velocity Model with Dynamic Collaboration
Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 124908, 8 pages
http://dx.doi.org/10.1155/2013/124908
Research Article
An Extended Non-Lane-Based Optimal Velocity Model with Dynamic Collaboration
The Key Laboratory of Em... | 4 | [
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Geometry (Pythagoras)
March 11th 2007, 02:44 PM #1
Newbie
Joined
Mar 2007
Posts
10
Geometry (Pythagoras)
If anyone can help me with this questions that would be great!!
The hypotenuse of a right triangle is 3.00ft longer than one of the sides, which in turn is 5.00ft longer than the other side. How ... | 4 | [
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Automorphic Numbers
March 17th 2010, 07:19 PM #1
Member
Joined
Mar 2010
Posts
144
Automorphic Numbers
An automorphic number reappears at the end of its square. Disregarding 0 and 1, the only one-digit automorphic numbers are 5 and 6 since 5² = 25, and 6² = 36. Find all two-digit and three-digit
autom... | 4 | [
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Finding the median
July 25th 2012, 10:11 AM #1
Junior Member
Joined
Mar 2010
Posts
64
Finding the median
The sum of 5 consecutive integers is 10n + 5. What is the median of the 5 integers in terms of n?
How can you prove that it must be 2n + 1?
Last edited by dannyc; July 25th 2012 at 06:41 PM.... | 4 | [
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Re-arrange equation for D
April 26th 2012, 07:02 AM #1
Newbie
Joined
Apr 2012
From
Aberdeen
Posts
4
Thanks
1
Re-arrange equation for D
I am trying to rearrange this equation
Q=0.098[(D^4-d^4)/D]
For D=
I have spent to hours factoriseing, swapping sides, etc. but im getting nowhere.... | 4 | [
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... | 24,396 | 24396 | |
Example Using Absolute Volume Method
Example Using Absolute Volume Method Determine the mix proportions for a retaining wall, using the following specifications and conditions: Required 28-day compressive strength (f´[c])
Maximum size aggregate Exposure condition Fineness modulus of fine aggregate Specific gravity... | 4 | [
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0.0766601... | 24,397 | 24397 | |
Measuring model uncertainty
December 22nd 2009, 05:19 AM #1
Newbie
Joined
Apr 2009
Posts
7
I have a model with a number of parameters. I can calculate the posterior distribution of the parameter vector. This, in part, means that I can calculate the expected value and the variance of
each parameter.
... | 4 | [
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Log question
March 9th 2013, 10:39 AM
Krislton
Log question
Please can someone help with this problem: solve $2^2^x^+^1 - 5 (2^x) + 2 = 0$ Now we were told to let y=2 but I can't figure out where the y is coming from? Is it just as a function of x?
Thanks in advance for your help!
Kris :)
March 9th 20... | 4 | [
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