content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Picard Type Iterative Scheme with Initial Iterates in Reverse Order for a Class of Nonlinear Three Point BVPs
International Journal of Differential Equations
Volume 2013 (2013), Article ID 728149, 6 pages
http://dx.doi.org/10.1155/2013/728149
Research Article
Picard Type Iterative Scheme with Initial Iterates in Reve... | 5 | [
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Patent US7042951 - Digital sum variation computation method and system
CROSS-REFERENCE TO RELATED APPLICATION
This application is a continuation application of, and claims the priority benefit of, U.S. application Ser. No 10/370,261 filed on Feb. 19, 2003, now U.S. Pat. No. 6,853,684 which is a continuation
applicatio... | 4 | [
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... | 14,801 | 14801 | |
Testing for differences of means - PSPP
5.3.1 Testing for differences of means
A common statistical test involves hypotheses about means. The T-TEST command is used to find out whether or not two separate subsets have the same mean.
t-test uses the file physiology.sav previously encountered. A researcher suspected th... | 5 | [
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Symbolic Logic Help
April 6th 2010, 06:59 AM
johnnyboy1
Symbolic Logic Help
Hey guys,
I've been studying this book "Introduction to Logic" and have come across 3 tough questions I was hoping I could get explained to me as I have no clue where to start. They deal with the rules of
inference and the rules... | 4 | [
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Probability System of four independent components
September 17th 2010, 04:58 PM #1
Junior Member
Joined
Sep 2010
Posts
36
Probability System of four independent components
Here is a probability system
The probability of failure of #1=0.1, #2=0.2,#3=0.3,#4=0.4
Now im trying to find the probabili... | 4 | [
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[SOLVED] Linear Equation
January 17th 2009, 02:13 AM
ronaldo_07
[SOLVED] Linear Equation
Solve the system of linear equations in complex numbers:
$(2+i) x + (-3i) y = 3+i$
$3i x + (3-2i) y = 3-3i$
How would I do this?
January 17th 2009, 02:53 AM
mr fantastic
January 17th 2009, 08:09 AM
1234567
... | 5 | [
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-0.096679687... | 14,805 | 14805 | |
vertical asymptotes
July 6th 2006, 04:24 PM #1
Newbie
Joined
Jun 2006
Posts
14
pretest 6 math questions
Find the horizontal asymptote of the graph f(x)= 2/x-4
A: y=2 B: x=0 C: x=4 D: y=0
Find the vertical asymptote(s) if any, for f(x)= 4x-4/x2-5x-6
A: x=-1, x=6, x=4 B: x=-1, x=6 C: x=4, x=... | 4 | [
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Common Fixed Point for Generalized Bose-Mukherjee-Type Fuzzy Mappings
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 935386, 6 pages
http://dx.doi.org/10.1155/2013/935386
Research Article
Common Fixed Point for Generalized Bose-Mukherjee-Type Fuzzy Mappings
Mathematics and Information Technology School, Jia... | 5 | [
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Discretized Lyapunov Function Approach for Switched Linear Systems under Dwell Time Constraint
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 905968, 10 pages
http://dx.doi.org/10.1155/2014/905968
Research Article
Discretized Lyapunov Function Approach for Switched Linear Systems under Dwell Time Constr... | 4 | [
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2nd linearly independent solution using reduction of order
July 14th 2009, 12:56 PM
diddledabble
2nd linearly independent solution using reduction of order
How do you find the second linearly independent solution using reduction of order.
Examples
$<br /> <br /> t^{2}y'' + 6ty' +6y = 0 <br /> t > 0<br /... | 5 | [
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VOLUME charge density from SURFACE/LINE charge density?
A distribution is a distribution, not a function! A distribution is defined as a linear functional on an appropriate space of test functions. A convenient space of test functions is the space of fast
falling smooth functions, i.e., functions which are differentiab... | 4 | [
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Sum and product of eigenvalues
December 7th 2010, 09:36 AM #1
Junior Member
Joined
Oct 2010
Posts
43
Sum and product of eigenvalues
How to prove that
- the sum of the eigenvalues of a matrix equals to the trace of the matrix?
- the product of the eigenvalues equals to the determinant?
(Of cou... | 5 | [
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isosceles triangle
November 7th 2009, 09:44 PM #1
Senior Member
Joined
Jan 2009
Posts
381
isosceles triangle
In an isosceles triangle ABC , AB=AC and angle BAC =120 degree. Points D and E lie on BC such that BD=DE=EC . Prove that ADE is an equilateral triangle .
Using Sine Law, AD and AE can be prov... | 4 | [
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Energy required to accelerate a ship.. WITH ANTIMATTER
cadsmack
I get stuck at the first part of the problem, I can't formulate the problem in a way that gives any kind of meaningful answer...
The energy requirements are going to depend on a parameter of the ship called the specific impulse. Another equivalent idea ... | 4 | [
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Physics Forums - View Single Post - Power transferred from the sources to the electromagnetic field
In essence, this is equivalent to P = V * I in a conventional circuit, where voltage V and current I are independent of each other as determined by the circuit and the source drive. So the coupling
that you are worried ... | 4 | [
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Homomorphism and Subrings
1. The problem statement, all variables and given/known data
Let f: R -> S be a homomorphism of Rings and T a subring of S.
Let P = { r belongs to R | f(r) belongs to T}
Prove P is a subring of R.
2. Relevant equations
Theorems used:
If S and nonempty subset of R such that S is closed under... | 5 | [
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Math Help
September 22nd 2009, 05:16 PM #1
Junior Member
Joined
Apr 2009
Posts
58
binomial
sorry, im really dumb.. but here's the question
A person researching business-to-business communications found 90% of people used email as their primary means of communication. If there were 20 B2B operators... | 4 | [
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chain rule - second order - quick review
October 24th 2009, 11:13 AM #1
chain rule - second order - quick review
Let: $f(u,v)=usin(v)$
where: $u(x,y)=x-y$ and $v(x,y)=e^{y-x}$
Use only the chain rule to find $f_x, f_y, f_{xx}, f_{yy}$ in terms of v and u.
So,
$f_u*u_x+f_v*v_x$
$=sinv-e^{y... | 5 | [
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Cauchy-Goursat Theorem
Prove the following by means of Cauchy-Goursat theorem. Begin with 12.
You do not even need Cauchy closed curve theorem here. Just note that $\left( e^z \right)' = e^z$ which means if $\Gamma$ it a piecewise smooth closed curve then $\oint_{\Gamma} e^z dz = 0$. You
prove this by writing, $0=\oin... | 4 | [
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Prove C[0,1] is closed in B[0,1] (sup norm)
Well it can't hurt to see the other way, maybe it'll get you more used to it.
One of the most useful characterizations of a closed set is :
A set W is closed if and only if every convergent sequence in W has it's limit in W.
In R^n with the usual Euclidean metric, converge... | 4 | [
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Small world graphs
Chapter 4 Small world graphs
4.1 Analysis of graph algorithms
The order of growth for a graph algorithm is usually expressed as a function of |V|, the number of vertices, and |E|, the number of edges.
The order of growth for BFS is O(|V| + |E|), which is a convenient way to say that the run time... | 4 | [
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When can we detect forcing?
up vote 11 down vote favorite
3
First, a rather broad question: has there been any work on what, given a model $M$ of set theory, we can say about those models of set theory $N$ and posets $\mathbb{P}$ such that $\mathbb{P}\in N$
and $M=N[G]$ for some $G$ $\mathbb{P}$-generic over $N$?
Sec... | 4 | [
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Thomas Industrial Library
12.13 CYLINDRICAL CONTACT
Cylindrical contact is common in machinery. A non-crowned cylindrical roller follower running against a face cam is one example. Roller bearings are another application. The mating cylinders can be
both convex, one convex and one concave (cylinder-in-trough), or, in ... | 4 | [
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0.... | 14,822 | 14822 | |
Basic algebra but dont know what a euler number is?
September 2nd 2010, 09:47 AM #1
Senior Member
Joined
Oct 2008
Posts
393
Basic algebra but dont know what a euler number is?
Assume P(C2) = eP(C1) (where e is the Euler number ln(e) = 1)
And i know P(C2) + P(C1) = 1
find P(C2) and P(C1)
Th... | 4 | [
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help with probability
July 6th 2008, 12:51 AM
hereami
help with probability
Hello!
I have two questions in the area of probability related to a development course being taken, but I never took this stuff back in college and don't know where to begin! Any help would be oh so
appreciated.
Here they ar... | 5 | [
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-0.1... | 14,824 | 14824 | |
reduce PDE to normal form
September 3rd 2011, 09:02 PM #1
Newbie
Joined
Aug 2011
Posts
16
reduce PDE to normal form
Hi, I am having difficulty doing these 2 questions. I tried the change of coordinates but that got very messy and got me nowhere.
Reduce to canonical form:
1. $y^2u_{xx}+2xyu_{xy}+... | 5 | [
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Brevet US20060287823 - Global positioning system receiver and gorrelating circuit thereof
CROSS-REFERENCE TO RELATED APPLICATION
This application claims the priority benefit of Taiwan application serial no. 92130890, filed on Nov. 5, 2003.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention ... | 4 | [
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Probabilty Density Function
October 21st 2008, 09:15 PM #1
Newbie
Joined
Oct 2008
Posts
2
Probabilty Density Function
Hi guy's
I have been given this question.
The Random variable X follows the distribution given by the density
f(x) = cxe^(-x^2/2)
determine c and E(x)
I've taken th... | 5 | [
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-0.033203125,
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0.0361328125,
-0.12890625,
... | 14,827 | 14827 | |
An Implicit Algorithm for the Split Fixed Point and Convex Feasibility Problems
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 854893, 7 pages
http://dx.doi.org/10.1155/2013/854893
Research Article
An Implicit Algorithm for the Split Fixed Point and Convex Feasibility Problems
^1School of Science, Tian... | 5 | [
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-... | 14,828 | 14828 | |
Chessboard Proof
October 16th 2012, 10:12 AM #1
Member
Joined
Oct 2012
From
san francisco
Posts
92
Chessboard Proof
Hey there I also need some help on this proof as well.
Imagine an infinite chessboard that contains a positive integer in each square. If the value in each square is equal to the a... | 5 | [
0.040283203125,
0.06201171875,
0.046142578125,
-0.05322265625,
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-0.0228271484375,
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-0.1142578125,
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0.0185546875,
-0.... | 14,829 | 14829 | |
Optimal spectral reshaping for resolution improvement in optical coherence tomography
« journal navigation
Optimal spectral reshaping for resolution improvement in optical coherence tomography
Optics Express, Vol. 14, Issue 13, pp. 5909-5915 (2006)
http://dx.doi.org/10.1364/OE.14.005909
Abstract
We analyze the reso... | 4 | [
0.044921875,
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-0.00021743774... | 14,830 | 14830 | |
Patent US7650011 - Visual tracking using incremental fisher discriminant analysis
CROSS REFERENCE TO RELATED APPLICATIONS
This application claims priority under 35 USC § 119(e) to U.S. Provisional Patent Application No. 60/586,598, filed Jul. 9, 2004, entitled “Object Tracking Using Incremental Fisher Discriminant
Ana... | 4 | [
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... | 14,831 | 14831 | |
Eigenevectors and Eigenvalues
September 26th 2012, 09:27 PM #1
Newbie
Joined
Aug 2012
From
Perth
Posts
3
Eigenevectors and Eigenvalues
Suppose A is a symmetric N × N matrix with eigenvectors vi, i = 1, 2, 3… N with
corresponding eigenvalues λi, i = 1, 2,3 …N.
Pick any two distinct eigenva... | 5 | [
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0.00546... | 14,832 | 14832 | |
Potential energy and a skateboard, only have until 11:30
A 54.5 kg. skateboarder starts out with a speed of 1.95 m/s. He does +80.0 J of work on himself by pushing with his feet against the ground. In addition, friction does -265 J of work on him. In both
cases, the forces doing the work are nonconservative. The final ... | 4 | [
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0... | 14,833 | 14833 | |
Modeling relationships between calving traits: a comparison between standard and recursive mixed models
Abstract
Background
The use of structural equation models for the analysis of recursive and simultaneous relationships between phenotypes has become more popular recently. The aim of this paper is to illustrate how... | 4 | [
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0.02648925781... | 14,834 | 14834 | |
Cardinality
February 8th 2009, 10:58 AM #1
Junior Member
Joined
Feb 2009
Posts
57
Cardinality
Can anyone tell me how I could show that the following set is countable?
Natural numbers and the integers not divisible by 3?
Recall the theorem that the union of countable sets is countable (in fact, ... | 4 | [
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0.001411437988281... | 14,835 | 14835 | |
Compute Curve Given Implicitly
October 14th 2009, 12:35 AM #1
Junior Member
Joined
Oct 2007
From
Bath, UK
Posts
25
Compute Curve Given Implicitly
So I have a curve given implicitly by the two equasions:
$\frac{x}{a}^2 + \frac{y}{b}^2 + \frac{z}{c}^2 = 1$
$a \sqrt{b^2 - c^2}z = c\sqrt{a^2 - ... | 4 | [
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-0.1... | 14,836 | 14836 | |
Sylow subgroup of group of order 56
May 29th 2010, 11:45 AM
Giraffro
Sylow subgroup of group of order 56
Let $G$ be a group of order 56, $T \in \text{Syl}_2(G), S \in \text{Syl}_7(G)$ be given. Then $|T| = 8, |S| = 7$. Assume $S$ is not normal, so then $T \lhd G$. Show that $T \cong C_2^3$.
Here's what I ha... | 5 | [
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Green function Helmholtz differential equation, monodimensional limit
The solution of the problem
[itex]\left(\nabla^2 + k^2 \right)\psi(\mathbf{r})=f(\mathbf{r})[/itex] is, using green function
[itex] \psi(\mathbf{r})=-\int G(\mathbf{r},\mathbf{r}_1) f(\mathbf{r})[/itex]
where for the tridimensional case the Green fu... | 4 | [
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Angle of projection above an incline?
OK, well I've never seen that form, but I'm using R(t) = do + Vox*t - .5Axt^2. Looks to me like s = r(t), u = Vox, and of course Do = 0...
Anyways, The problem I'm running into is simplifiing to a deferentiable form, since I'm trying to find the maximum gamma (probably should solv... | 4 | [
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0.040283203125,
-0.0314941... | 14,839 | 14839 | |
Holomorphic on C
morphism
But how is g defined on [2,5]?
I have to run so I'll leave you with a hint:
Let [itex]C = \{ z \in \mathbb C \mid |z-3.5| < 1 \}[/itex] and define [itex]g(z) = \frac{1}{2\pi i} \int_C \frac{f(w)}{w-z} dw[/itex] in C. Try to show that f and g agree off of [2,5].
I am not sure why you cent... | 4 | [
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-0.... | 14,840 | 14840 | |
A Bayesian Twist on Tukey’s Flogs
September 30, 2013
By Rasmus Bååth
In the last post I described flogs, a useful transform on proportions data introduced by John Tukey in his Exploratory Data Analysis. Flogging a proportion (such as, two out of three computers were
Macs) consisted of two steps: first we “started” t... | 4 | [
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... | 14,841 | 14841 | |
Applications of Functions :-)
September 10th 2005, 02:21 PM #1
Newbie
Joined
Sep 2005
Posts
2
I have a couple of problems to check over for correction. I'm either over-complicating or over-simplifying them, ahahaha...
Please consider these... They're probably really easy...
Thank you!
(*) A... | 4 | [
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-0.06787109375,
0.... | 14,842 | 14842 | |
Learn about Multi Step Equations
Learn about Multi Step Equations In this lesson, we will learn how to solve multi-step equations which is equations that have to be done using multiple steps. Let's do a couple of them. First one, is
4×4x+1/5=5. As we can see, the variable is x, that’s what we’re solving for. It looks l... | 4 | [
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0.0947265625,
-0.120... | 14,843 | 14843 | |
Given (a+b)(c+d) = ab+ac+bc+bd, How to express (a+b)÷(c+d) OR
December 19th 2010, 10:59 PM #1
Given (a+b)(c+d) = ab+ac+bc+bd, How to express (a+b)÷(c+d) OR
Problem: Generating an expression that removes the parentheses using first principles.
Given (a+b)(c+d) = ab+ac+bc+bd,
Can we say: (a+b)÷(c+d) = ... | 4 | [
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-0.07861328125,
0.15136718... | 14,844 | 14844 | |
Probability Formula Question
July 16th 2007, 08:43 PM #1
Newbie
Joined
Jul 2007
Posts
2
Probability Formula Question
This isn't actually a homework question, but I wasn't sure where to post it so my apologies if I am on the wrong board...
I am trying to figure out what the exact formula would be for... | 5 | [
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-0.008056640625,
-0.04736328125,
-0.... | 14,845 | 14845 | |
Definition of Continuous function.
July 11th 2011, 01:29 PM #1
Newbie
Joined
Jan 2010
Posts
14
Definition of Continuous function.
Hi all member.
Can any one help me to demonstrat that (by definition ):
does the folowing function is continuous at x=2.
f(x)=1/(1+x^4).
Thanks.
Re: Definitio... | 5 | [
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0.07958984375,
-0.0291748046875... | 14,846 | 14846 | |
Is this function integrable?
$\int_{0}^{\infty}x^2e^{-x^2}$ If so, how can you integrate it? Also, what about $\int_0^\infty e^{-x^2}$
A function is integrable $eq$ is possible to find it's primitve o it's exact numerical value (using elemental functions).
You can do this integral using doble integrals, or some know ... | 5 | [
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0.08203125,
-0.07080078... | 14,847 | 14847 | |
derivative of a function
Please, what woudl be the derivative of a function? I foudn sth like: $(f(x)=x^a$ $(f(x)'=x^a(a)'$ is that ok???
Hello! I ment, if a = function! some tol dme it is different!!!
Yep, that is different. $(x^{a(x)})'$ $= (e^{a(x) \ln x})'$ $= e^{a(x) \ln x} \cdot (a'(x) \ln x + a(x) \cdot \frac ... | 5 | [
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0.0308837890625,
... | 14,848 | 14848 | |
Divergent Improper Integral
April 18th 2010, 05:20 PM
kaiser0792
Divergent Improper Integral
I could use some help with an integral. The problem asks to determine whether a given integral converges or diverges. I know that the answer is "diverges" but I'm not sure why.
$\int_{-\infty}^0 xe^{-2x} dx$
I ... | 5 | [
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0.08544921875,
0.042236328125,
-0.07... | 14,849 | 14849 | |
Definite intergrals for an expression of displacement?
October 20th 2012, 12:13 AM #1
Newbie
Joined
Oct 2012
From
lincoln
Posts
8
Definite intergrals for an expression of displacement?
Hi I'm just getting back into education and I've been given some practice questions but this one kind on thrown me.
... | 5 | [
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0.0286865234375,
0.08984... | 14,850 | 14850 | |
What is Little Group ?
I'm preparing a little sketch on the irreps of the Poincaré group according to Wigner's classification. Unfortunately, this subject seems to be not too popular in the textbooks and in review
articles. No author whom I found describes clearly and correctly the structure of the little group of the... | 4 | [
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-0.0732421875,
-0... | 14,851 | 14851 | |
Patent US20030195832 - Method and structure for bid winning probability estimation and pricing model
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] The present invention generally relates to developing an expected winning probability distribution in response to a customer request for a price quot... | 5 | [
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-0.00... | 14,852 | 14852 | |
Y=mx+b Solving for m
Whalstib
That's it!
I forgot it's not about setting y to zero but the y intercept to zero which is b!
Since there are at least 2 ways to solve is there an easy way to convert from the y=mx+b to y=mx+0?
If you equate the two different formulas for
m
(with [itex] b \neq 0[/itex] and [itex]b =... | 4 | [
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0.02978515625,
0.1884765625,
-0.03857421875,
0.0257568359375... | 14,853 | 14853 | |
binomial expansion question - don't know what is being asked?
January 7th 2011, 04:17 AM
angypangy
binomial expansion question - don't know what is being asked?
Hi
I have this question:
(i) show that (2 + x)^4 = 16 + 32x + 24x^2 + 8x^3 + x^4 for all x.
for all x? What does that mean?
(ii) Find... | 4 | [
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0.10205078125,
-0.0105590820... | 14,854 | 14854 | |
Orthogonal polynomials and inner product space
March 5th 2010, 12:50 PM
alice34
Orthogonal polynomials and inner product space
Say we have a set {v1, v2, ..., vk, ...} of orthogonal polynomials in some real inner product space < , >, and assume they're normalised to be monic. If q is a polynomial with deg(q) = k... | 5 | [
-0.05322265625,
0.09375,
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0.04541015625,
0.006866455078125,
0.00124359130859375,
0.036865234375,
-0.0277099609375,
-0.0234375,
0.044189453125,
0.019775390625,
-0.01470... | 14,855 | 14855 | |
Prove that if n > 2, then U_n has a subgroup of order 2.
April 9th 2012, 03:18 AM #1
Junior Member
Joined
Mar 2011
Posts
72
Prove that if n > 2, then U_n has a subgroup of order 2.
Prove that if $n > 2$, then $\mathbb{U}_n$ has a subgroup of order $2$.
There must exist a $g \in \mathbb{U}_n$ such th... | 5 | [
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induction of series P1
February 6th 2010, 04:34 AM #1
Junior Member
Joined
Nov 2009
Posts
45
induction of series P1
Could someone help me with these induction questions? I only need the bit on proving
n=k+1 using the assumption n=k
Prove:
1^3 + 2^3 + 3^3 +....+n^3 = (1+2+3+...+n)^2 for n = 1,... | 5 | [
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... | 14,857 | 14857 | |
Difference similarity shape, length, width, height, regardless of scale, most similar
January 30th 2013, 03:11 PM #1
Newbie
Joined
Jan 2013
From
wa
Posts
3
Difference similarity shape, length, width, height, regardless of scale, most similar
Lets say you have a rectangular prism.
Model: LxWxH: 19... | 4 | [
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Positive Macroscopic Approximation for Fast Attribute Reduction
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 837281, 11 pages
http://dx.doi.org/10.1155/2013/837281
Research Article
Positive Macroscopic Approximation for Fast Attribute Reduction
^1Department of Computer Science & Technology, Tsinghua... | 4 | [
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Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 389017, 8 pages
http://dx.doi.org/10.1155/2012/389017
Research Article
Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimens... | 5 | [
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Jet nozzles effect in seawater
Oh man, you are lucky I'm in the middle of a numerical run right now.
From Viscous Fluid Flow(3rd ed.), Frank White, Chapter 4, Section 10.6.
If a round jet emerges from a circular hole with sufficient momentum, it remains narrow and grows slowly, the radial changes [tex] \partial /\par... | 4 | [
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logarithmic equations
November 10th 2008, 02:30 PM #1
Newbie
Joined
Jun 2008
Posts
24
logarithmic equations
Can someone please help me out?? I'm starting to confuse myself.
log(x-1) = 2 - log (x+1)
okay so heres what i did:
added log (x+1) to the other side, hence log (x-1) + log (x+1) = 2
... | 4 | [
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0.022216796875,
-0.0605468... | 14,862 | 14862 | |
Inverse of a Function
August 17th 2008, 04:01 PM #1
Newbie
Joined
Aug 2008
Posts
13
Inverse of a Function
Would the inverse of
f(x)= (x+1)^3
be
y = + (the square root of x) - 1
or
y= y = - (the square root of x) - 1
thanks
$f(x)= (x+1)^3$
$y = (x+1)^3$
Switch... | 4 | [
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-0.0223388... | 14,863 | 14863 | |
Patent US5438256 - Apparatus and method for measurement from the ground for high voltage overhead lines
The present invention relates to apparatus for measuring the current in overhead electrical lines from the ground, as well as to a method of measurement using such apparatus.
The measurement of current in high volta... | 4 | [
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Electrostatic force question
jmckennon
1. The problem statement, all variables and given/known data
Three charged particles form a triangle: particle 1 with charge Q1=80nC is at xy coordinates (0,3.00mm) particle 2 with charge q2 is at (0,-3.00mm) and particle 3 is at(4.00mm,0).
What is the charge of particle #3?
... | 5 | [
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Math Review Sheet
The following things are the fundamentals on which the Quantitative section of the GMAT is built. You'll want to print this out and make several copies of it to prepare for your exam. Plan on going
through it at least five times before taking the CAT. When you finish, click here for the answers. Good... | 4 | [
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... | 14,866 | 14866 | |
Fundamental Theorem of Complex Calculus
May 1st 2010, 08:40 AM #1
Fundamental Theorem of Complex Calculus
Hello everyone, I was having trouble with the proof of this and I was wondering if anyone could help me!
Let $f:S \rightarrow \mathbb{C}$ be analytic (where S is an open set), and such that if $\gamma : ... | 4 | [
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factorising
September 14th 2009, 03:18 AM
mark
factorising
hi, could someone help me with this please:
a polynomial is given by $p(x) = x^3 - 6x^2 + 9x - 4$
a) factorise p(x) completely- i did this question and came up with $(x - 1)^2 (x - 4)$ but then the next question i didn't get
b) hence solve... | 4 | [
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... | 14,868 | 14868 | |
How big is a meteor?
The first calculation
We needed to make several rough approximations, of which perhaps the roughest was saying that the meteor looked about as bright as an average star (and about the same colour), so it looks about as
bright as the Sun (an ordinary star) would look if it were 10 light years away,... | 5 | [
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... | 14,869 | 14869 | |
Find the area
April 27th 2008, 04:02 PM #1
Find the area
Find the exact area of the region between the curve $y = 4x^3 - 2x^2 - 12x$ and the x=axis, over the interval [-1, 2]
My Work:
$\int_{-1}^2\;(4x^3 - 2x^2 - 12x)\;dx = x^4 - \frac{2}{3}\; x^3 - 6x^2$
$Let\; x = 2\;\;\;\;\; 2^4 - \frac{2}{3}\; ... | 5 | [
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0.0341796875,
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-0.09179687... | 14,870 | 14870 | |
Mixed Variational Principles in Nondissipative Coupled Thermoelasticity
Advances in Mechanical Engineering
Volume 2014 (2014), Article ID 684075, 10 pages
http://dx.doi.org/10.1155/2014/684075
Research Article
Mixed Variational Principles in Nondissipative Coupled Thermoelasticity
Department of Structures for Engine... | 4 | [
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-0.011352539062... | 14,871 | 14871 | |
Tensor product of modules
micromass
OK, so then we wish to prove that
[tex]Ker(f_3\circ \psi \circ f_2^{-1})=Im(f_2\circ \varphi \circ f_1^{-1})[/tex]
I'll do one side of the inclusion:
Take x in the kernel, then [itex]f_3(\psi(f_2^{-1}(x)))=0[/itex]. Since [itex]f_3[/itex] is an isomorphism, its kernel is 0, thus... | 5 | [
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0.05... | 14,872 | 14872 | |
Fibonacci Proof
November 28th 2009, 09:54 PM #1
Fibonacci Proof
I hate to say this, but...I'm stuck on an induction proof. I'm trying to prove that $\gcd(F_m,F_n)=F_{\gcd(m,n)}$, where $F_j$ is the $j$th Fibonacci number. I have it reduced to proving that
$F_m\,|\,F_{qm}$ for all $m$. I have the rest of the ... | 4 | [
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0.039... | 14,873 | 14873 | |
Probability problem
July 27th 2007, 05:17 AM #1
Junior Member
Joined
Jul 2007
Posts
43
Probability problem
Yet another brain freeze. "A student is munching on a bag of plain M&Ms. With 22 pieces left, 5 of which are red and 3 of which are yellow, she spills 10 pieces.
a. Find the probability that the... | 5 | [
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Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits
Abstract
The time behavior of DSN (displaced squeezed number state) for a two-dimensional electronic circuit composed of nanoscale elements is investigated using unitary transformation approach. The original
Hamiltonian of the syst... | 4 | [
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Sizing up BLDC motors
Craig Ludwick
Applications Engineer
Oriental Motor U.S.A. Corp.
Torrance, Calif.
Proper motor sizing is important in these days of cost consciousness. Oversized motors are luxuries that are not cost effective. But a motor that's too small simply won't move the load. Fortunately,
motor sizing is a... | 5 | [
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0.04858398437... | 14,876 | 14876 | |
Integral of a function
January 20th 2010, 11:14 PM #1
Junior Member
Joined
Aug 2008
Posts
52
Integral of a function
I just want to see if this is right. I'm not sure I went down the right path.
Find function f(x) and constant a such that
I set x=a and found that a=3. Then I used the fundamenta... | 4 | [
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... | 14,877 | 14877 | |
Finding the locus
August 25th 2009, 02:23 AM #1
Senior Member
Joined
Jul 2008
Posts
347
Hi
For the question:
P is a variable on the curve y = 2x^2 + 3 and O is the origin. Q is the point of the section of OP nearer the origin. Find the locus of Q.
After I find Q = (2x/3,2y/3) from the ratio... | 4 | [
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-0.0... | 14,878 | 14878 | |
A question involving self-composition.
I can't for the life of me figure this one out all the way.
Suppose f : R -> R is differentiable, and consider g(x) = f(f(x)). Show that if g is monotone decreasing, then g must be constant.
Here's what I've done so far (I'd hesitate to call it "progress"):
By the chain rule, g... | 5 | [
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... | 14,879 | 14879 | |
Limit Proof
October 9th 2007, 09:06 AM #1
Newbie
Joined
Oct 2007
Posts
5
Limit Proof
I am having a bit of trouble with what should be a simple proof:
Let (an) be a convergent sequence of real numers, an >= 0 for all n in the natural number set. If the limit of an is a (an->a) show that a >= 0.
... | 4 | [
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-0.034... | 14,880 | 14880 | |
Using Contour Integration and the Residue Theorem
sikrut
i'm going to throw some more of my work in here and let you check it if thats ok:
[tex] e^{ivs}\oint_C \frac{e^{izs}}{(z-i)(z+i)} = e^{ivs}\int_{-\infty}^\infty \frac{e^{ixs}}{(x^2 + 1)} + e^{ivs}\int_{-R}^R \frac{e^{i(Re^{i\theta})s}}{R^2e^{2i\theta}} - e^{iv... | 4 | [
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0.0322... | 14,881 | 14881 | |
trig integral
March 18th 2009, 08:08 PM #1
Newbie
Joined
Feb 2009
Posts
22
I tried to solve this integral but i was not able to get an answer. I tried foiling the integrand and go from there but was not able to succeed.
Find integral
integral from 0 to pi (xsinx+cosx)(xcosx+sinx)dx
THey ga... | 4 | [
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0.03515625,
0.05... | 14,882 | 14882 | |
The range of this function?
The function is f(x)= [6/(x+2)]-3 I wanted to find the range, also could you please post your working as I want to understand how you came to your answer, thanks. Regards Ossy
$f(x)= \frac{6}{x+2}-3$ Where is $f(x)$ undefined? Naturally we look for such things as division by $0.$ When will ... | 4 | [
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Number Squares Game
November 12th 2009, 06:08 PM #1
Newbie
Joined
Nov 2009
Posts
2
Number Squares Game
Here is the general question:
Start with a square, with a natural number at each corner. Now write, at the
midpoint of each edge, the absolute value |a-b| of the difference of numbers
(a, b... | 5 | [
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-0.036... | 14,884 | 14884 | |
Vin diagrams? is there any other way..
July 25th 2009, 04:47 AM #1
Junior Member
Joined
May 2009
Posts
71
Vin diagrams? is there any other way..
Let a & b be sets:
A u (B-A)U(C-A)=(B u C)-A
How do I solve?
The other ones I have are:
(A n B) E A
A E (A U B)
A-B E A
A n (B - ... | 5 | [
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Example about probability
December 6th 2008, 09:13 AM #1
Member
Joined
Jul 2005
Posts
187
Example about probability
I've one example and I'm wondering where these integration points y and 1 come from. According to the first red rectangular box these integration points should be 0 and 1 but they are not. ... | 5 | [
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... | 14,886 | 14886 | |
Arzela-Ascoli Theorem for Demi-Linear Mappings
Journal of Function Spaces
Volume 2014 (2014), Article ID 679825, 4 pages
http://dx.doi.org/10.1155/2014/679825
Research Article
Arzela-Ascoli Theorem for Demi-Linear Mappings
^1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
^2Department... | 5 | [
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quadratic function general form to standard form
March 9th 2010, 08:11 PM #1
Member
Joined
Jan 2010
Posts
142
quadratic function general form to standard form
Ok here is what I did. I'm kinda weak from factoring
$f(x)= 2x^2+8x-2$
group:
$f(x)= (2x^2+8x)-2$
Completing the Square:
... | 4 | [
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evaluating limits. (part deux)
October 5th 2009, 05:44 PM #1
Member
Joined
Sep 2009
Posts
149
evaluating limits. (part deux)
Evaluate the limit, if it exists.
im not sure how to get this problem going, I try factoring the numerator and get x(x-9) but theres nothing in the denominator (that i can s... | 4 | [
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-0.00576782226562... | 14,889 | 14889 | |
Stats exam questions I need help with
August 24th 2011, 08:05 AM
Nappy
Stats exam questions I need help with
A discrete random variable takes on the values 0,1,2 and 3 with probabilities 1/8,1/4,1/8 and 1/2 respectively. Determine the pgf of the sum of two such random variables which are independent,
stating... | 4 | [
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Can you solve this kind of problem on a TI-89 Calc? finding trig angle
December 1st 2006, 06:25 AM #1
Can you solve this kind of problem on a TI-89 Calc? finding trig angle
I am wanting to know if there is any way that you can solve the following problem by just using your calculator?
Find Exact values using... | 4 | [
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Patent US3846625 - Computing device for an interpolation
United States Patent 1 3,846,625 Sasayama [451 Nov. 5, 1974 1 COMPUTING DEVICE FOR AN INTERPOLATION Takao Sasayama, Hitachi, Japan Assignee: Hitachi, Ltd., Tokyo, Japan Filed: Feb. 21, 1973 Appl.
N0.: 334,401
Inventor:
Foreign Application Priority Data Feb. 21,... | 4 | [
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Legendre symbol
September 29th 2011, 05:01 PM #1
Newbie
Joined
Sep 2011
Posts
3
Legendre symbol
Hey guys, I need a bit of help here.
1. Show that the equation $x^2-71y^2=19$ has no integer solution using Legendre symbol.
So $\left(\frac{a}{p}\right) \equiv a^{(p-1)/2}\ \pmod{p}$
$\left(\fr... | 5 | [
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How does this simplify to this?
December 18th 2010, 10:07 PM #1
Junior Member
Joined
Sep 2010
Posts
34
How does this simplify to this?
So I was just doing a calculus question and on the solutions ..
it jumps from
$\frac{3(x+2)^2(x^2+1)-2x(x+2)^3}{(x^2+1)^2}$
then it skips to
$\frac{(3... | 4 | [
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equivalence relation
October 22nd 2013, 11:19 AM
ronanbrowne88
equivalence relation
question
An equivalence relation R defined on a set contains
the pairs (1,1 ), (1,2 ), ( 2,3). Find R, given that R ≠ A x A.
have to do this for a assignment but have no idea where to start I missed the class cove... | 4 | [
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ST and CT by vectors
Using vectors prove that a) $\sin(\alpha-\beta)= \sin \alpha\cos \beta-\cos \alpha\sin \beta$ b) $\cos (\alpha-\beta)=\cos \alpha\cos \beta + \sin \alpha\sin \beta$
Last edited by ns1954; February 3rd 2010 at 05:56 AM.
Hello ns1954First, note that the dot product of vectors $x_1\,\textbf i+y_1\,\... | 5 | [
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S&P 500 correlations up to date
Posted on 2012/10/08 by Pat
I haven’t heard much about correlation lately. I was curious about what it’s been doing.
Data
The dataset is daily log returns on 464 large cap US stocks from the start of 2006 to 2012 October 5.
The sector data were taken from Wikipedia.
The correlatio... | 4 | [
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... | 14,897 | 14897 | |
again..im lost!
February 24th 2010, 08:43 AM #1
Newbie
Joined
Feb 2010
Posts
3
A tank is in the shape of 1m x 1m x 1m cube and is positioned with its base in a horizontal position.There is a amall hole in the side of the tank at a height of 80cm above the base.At 12.00
water starts to enter the empty ... | 5 | [
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Brevet US5537429 - Error-correcting method and decoder using the same
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an error-correcting method and a decoder using the same.
2. Description of Related Art
FIG. 1 is a hardware block diagram of a prior art decoder. In the diagra... | 4 | [
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