content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Analytical function
September 22nd 2011, 06:58 AM #1
Member
Joined
May 2010
Posts
241
Analytical function
Hi there. I have to study the analyticity for the complex function:
$f(z)=\displaystyle\frac{y-ix}{x^2+y^2}$
The exercise suggest me to use polar coordinates. So, I do this kind of exercise... | 5 | [
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Material Discrimination Based on K-edge Characteristics
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 308520, 6 pages
http://dx.doi.org/10.1155/2013/308520
Research Article
Material Discrimination Based on K-edge Characteristics
^1The Key Lab of Optoelectronic Technology and Syste... | 4 | [
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0.01904296875,... | 25,501 | 25501 | |
Characterizations of Strongly Paracompact Spaces
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 916765, 5 pages
http://dx.doi.org/10.1155/2012/916765
Research Article
Characterizations of Strongly Paracompact Spaces
School of Mathematics and Quantitative Economics, Shandong University of Fina... | 5 | [
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Derivative of composite function including natural logarithm/ln.
March 1st 2011, 10:29 AM #1
Junior Member
Joined
Feb 2011
Posts
66
Derivative of composite function including natural logarithm/ln.
Hi, I'm having a problem reconciling my solution with the book I'm working from.
The question is:
Ca... | 4 | [
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Implicit differentiation (2 different answers!)
February 2nd 2008, 11:00 AM #1
Newbie
Joined
Feb 2008
From
Southampton, UK
Posts
4
Implicit differentiation (2 different answers!)
Trying to find dy/dx for x^2/(x-y^2)=5
Method 1: x^2 = 5x - 5y^2
2x = 5 - 10y(dy/dx)
dy/dx = (5-2x)/10y
... | 5 | [
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Inequalities
June 15th 2009, 11:00 AM #1
Junior Member
Joined
Feb 2009
Posts
36
Solve 1/(2x+1) > x/(3x-2)
I've so far done 1/(2x+1) - x/(3x-2) > 0
(2x^2 + 2x -2)/(2x+1)(3x-2) > 0
Now I know that I have to make the top line zero, but it doesn't factorise. Any help?
Thanks.
You woul... | 4 | [
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Horizontal and Vertical asymptotes of a curve
October 2nd 2012, 09:00 PM
Oldspice1212
Horizontal and Vertical asymptotes of a curve
Find the horizontal and vertical asymptotes of the curve.
y = 4e^x/e^x-6
x=
y= (smaller y - value)
y = (larger y - value)
How do you do this?
October... | 4 | [
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Analysis and Minimization of the Oscillatory Currents in Multibranch Thyristor-Switched Capacitors
Advances in Power Electronics
Volume 2012 (2012), Article ID 643716, 9 pages
http://dx.doi.org/10.1155/2012/643716
Research Article
Analysis and Minimization of the Oscillatory Currents in Multibranch Thyristor-Switched... | 5 | [
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Imperfect Power Control and Imperfect
Sectorization
International Journal of Vehicular Technology
Volume 2008 (2008), Article ID 413821, 8 pages
http://dx.doi.org/10.1155/2008/413821
Research Article
Performance Analysis of CDMA WLL Systems with Imperfect Power Control and Imperfect Sectorization
Department of El... | 4 | [
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SAT challenge
Read the following SAT test question, then click on a button to select your answer.
Note: Figure not drawn to scale.
The circle shown above has center O and a radius of length 5. If the area of the shaded region is 20 pi, what is the value of x?
18
36
45
54
72
I like this
challenging SAT problem
be... | 4 | [
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Gas Bubbles Expansion and Physical Dependences in Aluminum Electrolysis Cell: From Micro- to Macroscales Using Lattice Boltzmann Method
ISRN Materials Science
Volume 2014 (2014), Article ID 454691, 11 pages
http://dx.doi.org/10.1155/2014/454691
Research Article
Gas Bubbles Expansion and Physical Dependences in Alumin... | 4 | [
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Modeling and Optimization of Cement Raw Materials Blending Process
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 392197, 30 pages
http://dx.doi.org/10.1155/2012/392197
Research Article
Modeling and Optimization of Cement Raw Materials Blending Process
^1Department of Information Service and Int... | 4 | [
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Bolt Torque Chart
There are several factors that determine a proper bolt torque specification. Some of them are listed below...
Material containing the external thread (bolt)
Most bolt torque charts, including this one, are based on the material strength of the bolt - the component containing the external thread.
R... | 4 | [
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How to make a scientific result disappear
February 27, 2013
By Justin Esarey
Nathan Danneman (a co-author and one of my graduate students from Emory) recently sent me a New Yorker article from 2010 about the “decline effect,” the tendency for initially promising scientific
results to get smaller upon replication. Wi... | 5 | [
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Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials
RETRACTED
This article has been retracted as an almost identical paper by the same author has been simultaneously submitted to and published in Journal of Computational and Appl... | 5 | [
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complex fractions
what is the technique when solving complex fractions? a -------- 1 - 1 ---- 1+ 1 --- a-1
Last edited by 21_knip; January 13th 2009 at 09:11 PM. Reason: just try to see the attachment. i ifnd it hard to input it here.
Hello 21_knipIf I read your attachment correctly, start with the 1 and the fraction... | 4 | [
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Adjustment Computations. Spatial Data Analysis. 5th Edition
• Published: April 2010
• 672 Pages
• John Wiley and Sons Ltd
the complete guide to adjusting for measurement error—expanded and updated
no measurement is ever exact. Adjustment Computations updates a classic, definitive text on surveying with the lat... | 5 | [
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Cognitive Code-Division Channelization with Admission Control
Journal of Computer Networks and Communications
Volume 2012 (2012), Article ID 510942, 9 pages
http://dx.doi.org/10.1155/2012/510942
Research Article
Cognitive Code-Division Channelization with Admission Control
^1Department of Electrical Engineering, The... | 4 | [
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Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Based on VIKOR and Choquet Integral
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 656879, 16 pages
http://dx.doi.org/10.1155/2013/656879
Research Article
Interval-Valued Intuitionistic Fuzzy Multicriteria Group Decision Making Ba... | 4 | [
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Maths Assignment Help !
May 26th 2012, 06:44 PM
PapaJones
Maths Assignment Help !
Could someone please help me with this question, I really have know clue how to do this.
A parcel is to be tied with a length of string in a normal way.
Assume that the parcel is a cuboid with square cross section and wit... | 4 | [
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Solutions
85. Find all pairs (a, b) of positive integers with a ¹ b for which the system
Solution 1.
Suppose that the system is solvable; note that x = 0 is not a solution. Then cosax = -cosbx so that sinax = esinbx wh... | 5 | [
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# of Chords with Integral Length
October 13th 2009, 04:25 AM #1
Junior Member
Joined
Sep 2009
Posts
32
# of Chords with Integral Length
If the Point Z is 6 units from the center of a circle who's radius is 10.
Then, what is the number of chords with integral length, that run through Z.
Last edit... | 4 | [
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physics i really need help :(
Posted by juanita on Saturday, November 24, 2012 at 8:19pm.
A projectile is fired with an initial speed of 61.3m/s at an angle of 31.5° above the horizontal on a long flat firing range.
a)Determine the maximum height reached by the projectile.
b)Determine the total time in the air.
c)D... | 4 | [
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the encyclopedic entry of Turán graph
In
graph theory
,
Turán's theorem
is a result on the number of edges in a
K[r+1]
-
free graph
.
An n-vertex graph that does not contain any (r + 1)-vertex clique may be formed by partitioning the set of vertices into r parts of equal or nearly-equal size, and connecting tw... | 5 | [
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differential equation
February 9th 2010, 07:43 AM
JQ2009
differential equation
I have a 2nd order differential equation:
(d^2*y)/(d*x^2) = cosh(x)sinh(x)
How do you find a general solution?
Also how would you find a particular solution satisfying the conditions y(0) =1 and y'(0)= 2?
I really ... | 5 | [
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Differentiate functions
April 10th 2006, 03:02 PM #1
Junior Member
Joined
Feb 2006
From
New Zealand
Posts
26
Differentiate functions
1. Find dy/dx for each of the following. (You do not need to simplify your answers)
a) y = loge 3x + 8x³
b) y = e^x cosec x
c) y = e^4x+3/4x + 3
d) y = ... | 5 | [
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0.... | 25,525 | 25525 | |
raftional expression?
x2-x-12 . 3+x x2-9 4-x ans (x-4)(3+X) (X-3)(4-X) THERE IN THE BOOK IS (3+X) (X-3)
Last edited by Reckoner; June 10th 2012 at 07:03 AM.
\displaystyle \begin{align*} \frac{x^2 - x - 12}{x^2 - 9} \cdot \frac{3 + x}{4 - x} &= \frac{(x - 4)(x + 3)}{(x - 3)(x + 3)}\cdot \frac{3 + x}{4 - x} \\ &= \frac... | 4 | [
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Finding the radius of a circle inscribed in a sector.
April 13th 2012, 02:32 PM #1
Finding the radius of a circle inscribed in a sector.
Hello
I have a question where I need to find the area of a circle inscribed, I think that's the right word, in a sector. The circle touches both straight edges of the secto... | 4 | [
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-0.040283203125,
0.00988769531... | 25,527 | 25527 | |
Integral Notation
January 1st 2008, 07:58 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Integral Notation
One of the thing that bothered me for a long time with the $\bold{d}x$ appearing in the end of the integral. What is it for? And why was it but there? People... | 4 | [
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0.0238037109375,
0.024780... | 25,528 | 25528 | |
Cascadable Current-Mode First-Order and Second-Order Multifunction Filters Employing Grounded Capacitors
Active and Passive Electronic Components
Volume 2012 (2012), Article ID 261075, 6 pages
http://dx.doi.org/10.1155/2012/261075
Research Article
Cascadable Current-Mode First-Order and Second-Order Multifunction Fil... | 4 | [
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0.07275390625,
-0.0595703... | 25,529 | 25529 | |
the average of a set....
March 4th 2012, 09:28 PM #1
Senior Member
Joined
Aug 2009
Posts
349
the average of a set....
ok so here is the problem....
the average of a set of 8 consecutive odd integers is 18, what is the greatest of these integers?
this problems seems straight forward..
so i... | 4 | [
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Applied Regression Analysis and Multivariable Methods
Synopses & Reviews
Publisher Comments:
This bestseller will help you learn regression-analysis methods that you can apply to real-life problems. It highlights the role of the computer in contemporary statistics with numerous printouts and
exercises that you can so... | 4 | [
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Learning in General Games with Nature’s Moves
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 453168, 9 pages
http://dx.doi.org/10.1155/2014/453168
Research Article
Learning in General Games with Nature’s Moves
Kedge Business School, Domaine de Luminy, BP 921, 13 288 Marseille Cedex 9, France
Received... | 4 | [
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The Hybrid Local Ensemble Transform Kalman Filter
ABSTRACT
Hybrid data assimilation methods combine elements of ensemble Kalman filters (EnKF) and variational methods. While most approaches have focused on augmenting an operational variational system with
dynamic error covariance information from an ensemble, this s... | 4 | [
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... | 25,533 | 25533 | |
Directional derivative of a vector field
February 1st 2008, 06:36 AM #1
Directional derivative of a vector field
Does anyone know some links (exclude wiki) that explain the "Directional derivative of a vector field". I've been googling but found none, and i have a task that deals with it but have no
literatur... | 5 | [
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... | 25,534 | 25534 | |
Linear Algebra Help
January 31st 2008, 07:33 PM #1
Newbie
Joined
Jan 2008
Posts
8
Linear Algebra Help
These are linear algebra problems for an advanced engineering math class.
1. Find the angles in the triangle with these vertices:
[2, -1, 0] , [5, -4, 3] , and [1, -3, 2]
2. Determine the va... | 5 | [
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0.... | 25,535 | 25535 | |
Differentials: estimate maximum percentage error
June 25th 2008, 12:27 AM #1
Differentials: estimate maximum percentage error
I'm having such a hard time with this one :/
A model for the surface area of a human body is given by $S = 0.1091w^{0.425}h^{0.725}$, where w is the weight (in pounds), h is the heigh... | 5 | [
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-0.1... | 25,536 | 25536 | |
Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 926519, 6 pages
http://dx.doi.org/10.1155/2013/926519
Research Article
Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
^1Schoo... | 4 | [
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Linear Programming
July 13th 2008, 05:45 PM
squarerootof2
Linear Programming
i'm trying to maximize the equation z=2x1+4x2+3x3 subject to
x1+x2+x3<=12
x1+3x2+3x3<=24
3x1+6x2+4x3<=90
x1>=0,x2>=0, and x3>=0
where x1,x2,and x3 are the axis in the graph. i was able to maximize problems in R^2 ea... | 5 | [
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0.0308837890625,
0.05712890625,
-0.0593261718... | 25,538 | 25538 | |
Boundary Value Problems for the Classical and Mixed Integrodifferential Equations with Riemann-Liouville Operators
International Journal of Partial Differential Equations
Volume 2013 (2013), Article ID 157947, 7 pages
http://dx.doi.org/10.1155/2013/157947
Research Article
Boundary Value Problems for the Classical and... | 5 | [
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-0.... | 25,539 | 25539 | |
A Low-Complexity Decision Feedforward Equalizer Architecture for High-Speed Receivers on Highly Dispersive Channels
Journal of Electrical and Computer Engineering
Volume 2013 (2013), Article ID 587108, 10 pages
http://dx.doi.org/10.1155/2013/587108
Research Article
A Low-Complexity Decision Feedforward Equalizer Arch... | 4 | [
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Math Help
how many integers between 1500 and 8000 (inclusive) contain no repeated digits?
If we fix first 2 digits we'll get exactly 7*8 numbers with this proprty. So the number of non-repeaters between 1500 and 8000 is equal to the number of non-repeaters between 15 and 80 multiplied by
56. So: 56(5+9+9+9+9+9+9)=56.... | 4 | [
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0.017822265625,
-0.0238037109375,
-0.0517... | 25,541 | 25541 | |
Increasing and decreasing interval, natural exponential function
November 14th 2008, 09:06 AM
angrynapkin
Increasing and decreasing interval, natural exponential function
Given: f(x) = e^(-2x^2)
f'(x) evaluated as -4xe^(-2x^2)
Now, every example I've seen thus far is a polynomial function, which makes ... | 4 | [
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0.007537841796875,
-0.07... | 25,542 | 25542 | |
Help with a Generalized integral
How can we calculate this generalized integral: $\int_{0}^{+oo} \frac{x^2}{x^4+1} dx$ Thanks in advance!!
Let $f(z) = \frac {z^{2}}{z^{4}+1}$ There are two simple poles in the upper half complex plane $\frac {\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i$ and $-\frac {\sqrt{2}}{2} + \frac{\sqrt{2... | 5 | [
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0.0169677734375,
0.0267333984375,
0... | 25,543 | 25543 | |
please help with this stastic related question(
March 18th 2007, 12:34 PM #1
Newbie
Joined
Feb 2007
Posts
5
please help with this stastic related question(
Hello,
Iam trying to solve a question from genetic epidemiology.
but my math knowledge is pathetic.
Could you please verify the steps an... | 4 | [
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0.01263427... | 25,544 | 25544 | |
Posts about hyperplane separation theorem on Delta Epsilons
Posted by Akhil Mathew in analysis, functional analysis, MaBloWriMo.
Tags: convex sets, Hahn-Banach theorem, hyperplane separation theorem, linear functionals, Muntz approximation theorem
5 comments
I have been finishing my MaBloWriMo series on differential g... | 4 | [
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Electric Field due to a Dipole (not on a z-axis)
Register to reply
by Oijl
Tags: dipole, electric, field, zaxis
P: 115 1. The problem statement, all variables and given/known data
The figure shows an e... | 5 | [
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Permutations
September 20th 2008, 07:22 AM #1
Junior Member
Joined
Aug 2008
From
Dubai, UAE
Posts
58
Permutations
Calculate the number of permutations of the word CALENDAR in which C and A are together but N and D are not.
This is what I did:
No. of possible permutations $\: = \frac {8!}{2!... | 4 | [
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0.031494140625,
0.020263671875,
0.02392578125,
-0.07373046875,
0.009765625,
-0.0025787353515625,
-0.0252685546875,
0.00738525390625,
-0.043212890625,... | 25,547 | 25547 | |
Composite Right- and Left-Handed Traveling-Wave Field-Effect Transistors
Active and Passive Electronic Components
Volume 2012 (2012), Article ID 498146, 7 pages
http://dx.doi.org/10.1155/2012/498146
Research Article
Composite Right- and Left-Handed Traveling-Wave Field-Effect Transistors
Graduate School of Science a... | 4 | [
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0.0556640625,
-0.01470947265... | 25,548 | 25548 | |
Zahlenspiel
October 3rd 2012, 05:22 PM
newbie11
Zahlenspiel
Each symbol represents a unique digit between 0 and 9. What are the missing three digit numbers for A A A and B B B
Attachment 25032
October 3rd 2012, 06:56 PM
richard1234
Re: Zahlenspiel
Hint: The fact that AAA - BBB does not have three of... | 4 | [
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0.0546875,
-0.0257568359375,
-0.08544921875,
-0.05322265625,
-0.077636718... | 25,549 | 25549 | |
An Interpolated Flying-Adder-Based Frequency Synthesizer
Journal of Electrical and Computer Engineering
VolumeΒ 2011Β (2011), Article IDΒ 871385, 11 pages
http://dx.doi.org/10.1155/2011/871385
Research Article
An Interpolated Flying-Adder-Based Frequency Synthesizer
Department of Computer and Communication Engineeri... | 4 | [
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0... | 25,550 | 25550 | |
A cute result relating to sums of cubes
It’s well known, and easy to prove, that
$1^3+2^3+3^3+\cdots +n^3=(1+2+3+\cdots +n)^2$.
But here’s a generalization of that which has been attributed to Joseph Liouville (1809 – 1882). Pick any number, say 56, and write down all of its divisors:
$[1, 2, 4, 7, 8, 14, 28, 56]$
... | 5 | [
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0.01293945312... | 25,551 | 25551 | |
A is a set holding only all possible solutions of x, and B
Author Message
TAGS:
A is a set holding only all possible solutions of x, and B [#permalink] 06 Aug 2013, 11:15
... | 4 | [
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-0.15625,
... | 25,552 | 25552 | |
Maximum value
April 18th 2013, 11:52 PM #1
Junior Member
Joined
Aug 2012
From
The Earth
Posts
71
Thanks
1
Maximum value
Determine the maximum value of dP/dt where dP/dt = rP(1-(P/k)), r and k are positive constant, and interpret the meaning of this maximum value.
I do it like this,
let y ... | 5 | [
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0.00168609619140625,
0.07470703125,
-0.026123046875,
0.04541015625,
-0.0517578125,
0.038818359375,
0.02001953125,
0.09814453125,
0.0130615234375,
0.039794921875,
0.024658203125,
-... | 25,553 | 25553 | |
Quadratic Clarifications
February 23rd 2008, 09:52 PM
andrew2322
Quadratic Clarifications
can someone help me out with these problems with explanations please
1.) if 2x^2 + p = 3x
find a value of P so that there are two rational solutions
ive already done the problem however i got anything less th... | 4 | [
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-0.041015625,
... | 25,554 | 25554 | |
Differentiation:very confused...please help!
May 13th 2007, 02:54 PM #1
Newbie
Joined
May 2007
Posts
2
Differentiation:very confused...please help!
Hi, I have this diff. question which i keep getting wrong:
Find dy/dx of:
v=1/(1+e^-x)
This is my working:
v=1/1 + 1/(e^-x)=1+1/(e^x)=1+e... | 5 | [
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... | 25,555 | 25555 | |
Third Order Universal Filter Using Single Operational Transresistance Amplifier
Journal of Engineering
Volume 2013 (2013), Article ID 317296, 6 pages
http://dx.doi.org/10.1155/2013/317296
Research Article
Third Order Universal Filter Using Single Operational Transresistance Amplifier
Department of Electronics Engine... | 4 | [
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Determining the first three nonzero terms for Taylor polynomial approximation for IVP
December 3rd 2011, 03:37 PM
s3a
Determining the first three nonzero terms for Taylor polynomial approximation for IVP
I only know how to do this with regular equations. How do I do this with a differential equation involved?
... | 5 | [
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Relativity Science Calculator - Law of Energy Conservation and the Doppler Effect
Law of Energy Conservation and the Doppler Effect
"It is thus shown that, although mechanical energy is indestructible, there is a universal tendency to its dissipation, which produces gradual augmentation and diffusion of heat, cessatio... | 4 | [
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Minimizing electric field on coaxial electrodes
To reduce the possibility of breakdowns, a common goal in high-voltage engineering is to minimize peak electric field values on electrodes for a given voltage. One example is the choice of conductor
and shield radii for a coaxial cable. For a given shield radius ro, what... | 4 | [
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Homeomorphism
March 2nd 2008, 09:56 AM #1
Member
Joined
Nov 2007
Posts
108
Homeomorphism
Can someone help me to show that Q is not homeomorphic to N.
We know that there exists a bijection between Q and N. How can I show that f:Q onto N is not continuous ?
I also have trouble with showing any is... | 5 | [
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A Simulation Study of the Fundamental Vibrational Shifts of HCl Diluted in Ar, Kr, and Xe: Anharmonic Corrections Effects
International Journal of Spectroscopy
Volume 2012 (2012), Article ID 851923, 7 pages
http://dx.doi.org/10.1155/2012/851923
Research Article
A Simulation Study of the Fundamental Vibrational Shifts... | 4 | [
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... | 25,561 | 25561 | |
A Ship Collision Analysis Program Based on Upper Bound Solutions and Coupled with a Large Rotational Ship Movement Analysis Tool
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 375686, 27 pages
http://dx.doi.org/10.1155/2012/375686
Research Article
A Ship Collision Analysis Program Based on Upper Bound ... | 4 | [
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-Continuous Posets
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 607934, 14 pages
http://dx.doi.org/10.1155/2013/607934
Research Article
Fuzzy -Continuous Posets
^1College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
^2Faculty of Sciences, Nanchang Institute of Technology,... | 4 | [
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prove this result please
i know this result, alpha <= 1, it is then divergent...but how to prove that?
I $\sum\frac{1}{n\ln(n)}$ $\int_3^{\infty}\frac{dn}{n\ln(n)}=\ln(\ln(n))\bigg |_3^{\infty}=\infty$ divergent ii $\sum_{n=3}^{\infty}\frac{1}{n\ln(n)(\ln\ln(n)))^2}$ $\int\frac{dn}{n\ln(n)(\ln\ln(n)))
^2}=\frac{-1}{\l... | 5 | [
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O
{Page 104}
DESIGN OF COMPOSITE-MATERIAL PLATES FOR MAXIMUM UNIAXIAL COMPRESSIVE BUCKLING LOAD
Timothy L. C. Chen and Charles W... | 4 | [
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find intersections without calculator
March 14th 2009, 06:38 AM #1
Member
Joined
Feb 2009
Posts
125
find intersections without calculator
How would I find complex intersections without the intersection function on the calculator.
Say I have y=4xe^(-x^2) and y = |x|. How would I find this intersectio... | 4 | [
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1st Payment in a Growth Annuity
October 10th 2006, 12:02 AM #1
Newbie
Joined
Oct 2006
Posts
3
1st Payment in a Growth Annuity
Hi,
I'm trying to locate a formula for calculating the first payment in a growth annuity where the following is known:
1) The Future Value of the Annuity
2) The grow... | 4 | [
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Question on interval of convergence
November 23rd 2011, 01:22 PM #1
Junior Member
Joined
Apr 2011
Posts
30
Question on interval of convergence
Question 37 from 11.8 of Stewart's Early Transcendentals -
A function is defined by
f(x) = 1 + 2x + x^2 + 2x^3 + x^4.....
that is, its coefficients ... | 5 | [
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-Contractive Mappings
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 456482, 13 pages
http://dx.doi.org/10.1155/2014/456482
Research Article
Discussions on Recent Results for --Contractive Mappings
^1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
^2Depa... | 5 | [
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Math Help
September 26th 2011, 02:20 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Isomorphism
Show that two finite dimensional vector spaces over F are isomorphic iff. they have equal dimensions.
$(\Rightarrow)$
Suppose X, Y are isomorphic where X, Y are finit... | 5 | [
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Evaluating Integrals
April 22nd 2007, 04:42 PM #1
Junior Member
Joined
Mar 2007
Posts
56
Evaluating Integrals
Evaluate the following integral by interpeting it in terms of areas:
The definite integral of f(x) from 1 to 0
f(x) = sqrt(1 - x^2)dx = (1/4)3.14x^2 = (1/4)3.14(1)^2 = 3.14/4
This ... | 4 | [
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Solving two equations with three variables
March 1st 2009, 09:53 AM #1
Newbie
Joined
Mar 2009
Posts
2
We have been taught that in order to solve three variables, you need three equations. Here is a two equations with three variables that can be solved: 8X+2Y+Z=48 AND X+Y+Z=12; Solve for X, Y and
Z.
... | 4 | [
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Chinese Remainder Theorem
April 9th 2006, 03:39 PM
darren_a1
Chinese Remainder Theorem
have a problem on hand - this one is kinda easy- but am stuck :P
the problem is :
Solve using CRT:
x congruent to 8(mod13)
x congruent to 1(mod 5)
x congruent to 5 (mod 6)
i have gotten most of it. ... | 5 | [
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exponents and e problem
July 14th 2007, 07:47 PM #1
Junior Member
Joined
Jul 2007
Posts
33
exponents and e problem
Here's the problem:
7e^(-2t) - 5e^(-5t) + 4e^(-6t) = 0
Solve for t.
I've tried to solve it a few ways (taking the natural log) but each leads to a dead end.
Please help!
... | 4 | [
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A question from Number Theory book of Thomas Koshy?
October 11th 2007, 04:35 AM #1
Newbie
Joined
Oct 2007
Posts
7
A question from Number Theory book of Thomas Koshy?
I have a question here from the book I have mentioned above
The question is - There are 4 nos between 100 and 1000, which are equal to... | 5 | [
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0.007354... | 25,575 | 25575 | |
Invertible Matrix
May 4th 2010, 04:49 PM #1
Junior Member
Joined
Jan 2010
Posts
32
Invertible Matrix
I need to show that if $T:\ell^2(\mathbb{N},\mathbb{C})\rightarrow\ell^2(\ mathbb{N},\mathbb{C})$ is an operator defined by $(Tx)(j)=\frac{1}{2^j}x(j)$ and $\lambdaeq0$ is NOT in the set of
eigenvalue... | 5 | [
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-0.... | 25,576 | 25576 | |
Circle problem
December 18th 2010, 03:11 AM #1
Junior Member
Joined
Mar 2010
Posts
64
Circle problem
For what value of a will a circle centered at (2, -3) pass through points (1,a) and (a,3) in the standard (x,y) plane?
The answer should be 3, but how?? And how would you find the radius too?
Si... | 4 | [
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-0.061279296875,... | 25,577 | 25577 | |
Very difficult integration.
September 5th 2011, 02:06 PM #1
Junior Member
Joined
Jun 2011
Posts
37
Very difficult integration.
I'm really having difficulty integrating this, everytime I start I just ending up with workings that go on forever, and using Mathcad is just giving me useless answers.
Can ... | 5 | [
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0.022827148437... | 25,578 | 25578 | |
Values of Angle in Standard Position
June 2nd 2011, 04:43 AM #1
Junior Member
Joined
Jun 2011
Posts
38
Values of Angle in Standard Position
I'm having a little bit of difficulty with this question. I think I may have solved it, but I'm not sure about the negative symbols and whether or not they should be... | 4 | [
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-0.0055847167... | 25,579 | 25579 | |
Integral question
June 16th 2011, 08:39 PM #1
Senior Member
Joined
Apr 2010
Posts
487
Integral question
The question
Evaluate $\oint_{|z| = 4} \frac{z^3 \ dz}{(z - 3)^3(z - 2)^2}$ using the Cauchy Integral Formula, where the circle is traversed once anti-clockwise.
My attempt
z = 3, z = 2 ar... | 5 | [
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-... | 25,580 | 25580 | |
simple geometric sequence question
November 27th 2009, 07:13 PM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
simple geometric sequence question
The number of people attending the yearly Abletown show is rising by 5% per annum, and the number attending the yearly Bush Creek Show is falling by 5%... | 5 | [
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Matrix help
January 30th 2007, 11:45 PM #1
Member
Joined
Jun 2006
Posts
165
Find 3A-B when
A= 2 -1
3 0
B= 4 -2
5 1 my answer is 2 -1
4 1 is this right, thanks for checking and helping me also.
$A=\left( \begin{array}{cc} 2&-1 \\ 3&0 \end{array}\right)$
$B=\left( \begin{a... | 4 | [
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... | 25,582 | 25582 | |
Piecewise-Defined Function
January 19th 2007, 01:05 PM
symmetry
Piecewise-Defined Function
For both questions below:
(a) Find the domain of the function.
(b) Locate any intercepts.
(1)
.....{3 + x......if -3 <or= to x < 0
f(x){3...........if......x = 0
.....{Sqrt{x}..if......x > 0
... | 4 | [
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0.01458740234375,
-0.0422363... | 25,583 | 25583 | |
Need help on series! Relatively easy...
November 24th 2008, 02:09 PM #1
Junior Member
Joined
Dec 2006
Posts
40
Need help on series! Relatively easy...
Alright. We were just assigned this work and its due tomorrow. I got everything except these three problems, so help would be appreciated.
1) Find th... | 5 | [
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0.05126953125,
0.025146484375,
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0.0247802734375,
-0.05224609375,
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0.04638671875,
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-0.037109375,
-0.02392578125,
-0.0698242... | 25,584 | 25584 | |
Algebraic
Two multiplied by three more than a number is fourteen. 2(3) + x =14 Not sure if that is right
Again, your applying the multiplication to only one term of the sum. Let the number be x. So 3 more than the number is x + 3, then we miltiply that by 2 and the result is 14. So 2(x + 3) = 14
.............expand th... | 4 | [
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0.01507568359375,
0.006805419921875,
0.037353515625,
-0.056884765625,... | 25,585 | 25585 | |
Conservative Force
A conservative force is a force that acts on a particle, such that the work done by this force in moving this particle from one point to another is independent of the path taken. To put it another
way, the work done depends only on the initial and final position of the particle (relative to some coo... | 4 | [
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0.03857421875,
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0.03... | 25,586 | 25586 | |
Lebesgue outer measure.
October 27th 2013, 08:45 PM #1
Junior Member
Joined
Nov 2012
From
Taiwan
Posts
41
Lebesgue outer measure.
Let A ^n and let |A|[e] be the Lebesgue outer measure.
Suppose A, B ^n and d(A,B)>0. How do I prove that |A [e]=|A|[e]+|B|[e]?
Having thought about this problem fo... | 5 | [
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Optimization of Resource Control for Transitions in Complex Systems
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 625861, 12 pages
http://dx.doi.org/10.1155/2012/625861
Research Article
Optimization of Resource Control for Transitions in Complex Systems
Faculty of Automatic Control and Computer... | 4 | [
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-0.0405273... | 25,588 | 25588 | |
Help me to solve the trigonometric equation
January 10th 2011, 05:46 AM #1
Junior Member
Joined
Aug 2009
Posts
47
Hi I have tried to solve this... (but my teacher never gets satisfied).
Solve the trigonometric equation:
4sinx*sin2x*sin4x=sin3x
My solution so far...
4sinx*sin2x*sin4x−sin... | 4 | [
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-0.009033203125,
0.0625,
-0.0952... | 25,589 | 25589 | |
Logarthim - Finding expression - URGENT PLZZ
September 28th 2008, 11:53 PM #1
Newbie
Joined
Sep 2008
Posts
5
Logarthim - Finding expression - URGENT PLZZ
log[base2]8, log[base4]8, log[base8]8, log[base18, log[base32]8, log[base64]8,
I am given this sequence and i need to find an expression for the n... | 4 | [
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0.03662109375,
-0.159179... | 25,590 | 25590 | |
Newton's Method: Numerical Analysis
June 8th 2008, 06:31 PM #1
Newbie
Joined
Apr 2008
Posts
12
Newton's Method: Numerical Analysis
Could someone please so me how Newton's Method is used in Numerical Analysis? My teacher is doing a horrible job of teaching it and he skips a lot of steps.
Newtons Meth... | 5 | [
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-0.0067138671875,
-0.00823974... | 25,591 | 25591 | |
Prove Lemma on the norms of a function.
February 24th 2011, 09:11 PM #1
Prove Lemma on the norms of a function.
Hi.
Problem:
(i) Suppose that the real-valued weight function $w$ is defined, continuous, positive and integrable on the interval $(a,b)$. Then, for any function $f\in C[a,b]$,
$||f||_2 \... | 5 | [
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-0.... | 25,592 | 25592 | |
Galois Theory, Please Help
December 10th 2005, 08:56 PM
chester_l12
Galois Theory, Please Help
Let F have characteristic 0 and suppose the coefficients of the polynomial
f(x)=a_n x^n + a_(n-1) x^(n-1) + ... + a_1 t + a_{0}
be in F[x] and satisfy a_n=1, a_i = a_(n-i) for all i=0,...,n
(forexample f(t)... | 4 | [
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-0.0493164... | 25,593 | 25593 | |
Sum Divergent Series, I
Every few months, I get in a particular mood that inspires me to look for reasonable finite values to assign to superficially divergent sums. I’d like to share some of them with you and start a
discussion of just what “reasonable” means in this context. Finally, I have an open (and open-ended) ... | 4 | [
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... | 25,594 | 25594 | |
Fermat Little Theorem
October 4th 2008, 12:07 PM #1
Member
Joined
Nov 2007
Posts
108
Fermat Little Theorem
Can someone check if my work is correct on this problem?
Given $1728=2^63^3$. Show that if $(a,7)=1, (a,13)=1, (a,19)=1$ then $a^{1728}\equiv 1 mod(7); a^{1728}\equiv 1 mod (13); a^{1728}\equiv ... | 5 | [
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... | 25,595 | 25595 | |
Digamma Integral Representation
May 12th 2010, 07:45 PM
Anthonny
Digamma Integral Representation
Hi,
I'm trying to figure out how the integral representation of the Digamma function works.
I understand that the Digamma function is the logarithmic derivative of the Gamma function. Therefore
$\Psi(z... | 5 | [
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... | 25,596 | 25596 | |
search results
Expand all Collapse all Results 1 - 5 of 5
1. CJM 2013 (vol 65 pp. 1287)
$K$-theory of Furstenberg Transformation Group $C^*$-algebras
The paper studies the $K$-theoretic invariants of the crossed product $C^{*}$-algebras associated with an important family of homeomorphisms of the tori $\math... | 4 | [
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... | 25,597 | 25597 | |
Related Rates
August 6th 2009, 02:00 AM
noobonastick
Related Rates
Can someone help me with the following question?
A tank contains 100 litres of brine whose concentration is 3grams/litre. Three litres of brine whose concentration is 2 grams/litre flow into the tank each minute and at the same time 3 litres... | 5 | [
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-0.008... | 25,598 | 25598 | |
definite integrals
April 21st 2013, 02:40 PM #1
Newbie
Joined
Apr 2013
From
San Francsico
Posts
1
definite integrals
Interpret the definite integrals as sums and differences of areas and then use simple geometric formulas to evaluate the integrals
Can somebody please help me with this one, I a... | 5 | [
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