content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Lucas numbers and the Golden Section
Francois-Edouard-Anatole Lucas (4.4.1842 - 8.10.1891) is the French mathematician, professor. He was educated at the Ecole Normale in Amiens. After this he worked at the Paris Observatory under Le
Verr... | 4 | [
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Scheduling - integer programming question [desperate]
May 26th 2012, 11:37 PM #1
Member
Joined
Sep 2010
Posts
151
Thanks
3
Scheduling - integer programming question [desperate]
Question:
Vicky is attending a summer school where she must study four units. She must do a one-hour lecture for each of... | 5 | [
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Inverse of sinx with arcsinx?
June 25th 2008, 01:49 PM
SportfreundeKeaneKent
Inverse of sinx with arcsinx?
I don't even understand the wording of this. Also arcSINx?
Denote by y=arcsinx, -1< or = x < or = 1, the inverse of y=sinx with x between -pi/2 and pi/2. Show that
d/dx arcsinx = 1/sqrt(1-x^2) wit... | 5 | [
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... | 8,402 | 8402 | |
Linearization
February 12th 2011, 09:26 AM
veronicak5678
Linearization
x'=-y-x^3
y'=x
Using linearization, I see that the only fixed pt, (0,0) is a center. But the real parts of the eigenvalues are 0, so maybe linearization hasn't worked. I tried changing to polar to analyze, and
I now have
the... | 4 | [
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inferring the slope of a digitized line
up vote 8 down vote favorite
1
Given real numbers $a$ and $b$, and an integer $n \geq 2$, let $f(n,a,b)$ be the minimum of $(nint(ja+b)-nint(ia+b)+1)/(j-i)$ (for $1 \leq i < j \leq n$) minus the maximum of $(nint(ja+b)-nint(ia+b)
-1)/(j-i)$ (for $1 \leq i < j \leq n$), where $ni... | 4 | [
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Vertex Angle of a Cone
October 4th 2010, 07:02 PM
Latszer
Vertex Angle of a Cone
Here is the problem I have for my homework...
Find an equation for the cone in 3D space which has vertex angle 2pi/3. (Hint: What is the vertex angle for z = sqrt(x^2+x^2)? How could you change this equation to get a cone with ... | 4 | [
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Math Forum Discussions - Re: Finite Rings
Date: Feb 4, 2013 12:12 PM
Author: quasi
Subject: Re: Finite Rings
Arturo Magidin wrote:
>uasi wrote:
>> William Elliot wrote:
>> >
>> >[In forum "Ask an Algebraist", user "Anu" asks] (edited):
>> >
>> >> If R is a finite commutative ring without multiplicative
>> >> identity ... | 5 | [
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Calculating Cast9
Following is the proof that Cast9(a) = mod[9] (a-1) + 1. Let's start with a few definitions that the proof will use:
• Let a = source number.
• Let's refer to the rightmost digit of a as a[0] and to the leftmost digit of a as a[n].
• Let a' = ∑ ^n i=0[a]^i, i.e., sum of digits of a.
• Let a" ... | 5 | [
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Displacement of a particle
Re: Displacement of a particle
Re: Displacement of a particle
Re: Displacement of a particle
These problems are so much easier to write out if you do some trig to begin with. Here the 3 and the 4 are a bit of a giveaway indicating a 3,4,5 triangle. Taking the liberty of changing the d ... | 5 | [
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Lucas sequences and Chebyshev polynomials
This is a sequel to last week’s blog post “Two applications of finite fields to computational number theory“. The main reason I decided to write a follow-up is that I’ve learned a lot about
Concluding Observations #1 and #6 from that post during the last week. In Observatio... | 4 | [
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Understanding Ultra Narrowband Modulation
Modulation advances have fueled more efficient use of bandwidth, although conventional modulation formats still require allowance for upper and lower sidebands around the carrier frequency. Ultra
narrowband modulation, however, is an efficient form of transmitting information w... | 4 | [
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Limits question
April 4th 2009, 10:36 AM
champrock
Limits question
Limit[(Sum[i^0.5, {i, n}] - n^0.5)/n^1.5, n -> \[Infinity]]
F[x] = [ 1^0.5 + 2^0.5 ....... (n-1)^0.5 ] / n*n^0.5
Find Limit f(x) where n tends to infinity.
Thanks
April 4th 2009, 12:26 PM
o_O
$\lim_{n \to \infty} \frac{\sum... | 5 | [
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proving that two subspaces are direct sum
January 6th 2013, 02:19 PM
Stormey
proving that two subspaces are direct sum
Let $W,U\subset V$ be subspaces.
i need to prove that if $dim(V)=dim(U)+dim(W)$ and $W\cap U=\left \{ \vec0 \right \}$ then $W\oplus U=V$.
here's the thing.
i proved it, but withou... | 4 | [
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Sums and Differences of Discrete Functions
One of the many ways of expressing the sum of powers of the first n integers is in terms of binomial coefficients and either Eulerian numbers or Stirling numbers. The derivation of these formulas can
best be described by an example. Consider the sequence of 5th powers of the ... | 5 | [
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Rate of Change Constant?
Date: 03/20/2002 at 03:27:01
From: Mariam
Subject: Why are (diff(e^x,x)=e^x, sin(x)&sinh(x) similar) ?
Hello Dr. Math,
First I want to thank you for this service.
My first quesion is: int(e^x,x) = e^x diff(e^x,x)=e^x - these are the
formulas, but what I am looking for is not the proof but ... | 5 | [
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Amortized loan
September 20th 2009, 01:31 PM
tbl9301
Amortized loan
On May 1, 1988, the Shaws purchased a home for $308,000. Their down payment was $46,000, and the remaining $262,000 was financed with a standard 15-year amortized loan at a nominal interest rate
of 5.55% compounded monthly. Assuming monthly ... | 5 | [
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- May 1996
From: shelly@rgs.edu.sg
Sophia Yong
Grade: 9
School: Raffles Girls School (Secondary)
Answer: Formula: 1/2 x (breadth1+ breadth2) x height,
where breadth1 and breadth2 are the sides parallel to each
other and perpendicular to the height, which may be a
... | 4 | [
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Range of cos(x)
September 23rd 2011, 12:07 PM #1
Newbie
Joined
Sep 2011
Posts
7
Range of cos(x)
Hi! I need to find the range of the function y = cos(x) on the interval -pi/6<x<pi/4. Help would be appreciated!
Re: Range of cos(x)
The correct answer is something like: [p,q]. I know that q = 1, but ca... | 4 | [
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Quantum Probs
April 6th 2008, 06:25 PM #1
Member
Joined
Feb 2008
Posts
79
Quantum Probs
1.) Given A and B are both hermitian operators,
a.) Prove the product $AB$ will be hermitian only if $A$ and $B$ commute
b.) Prove $(A+B)^n$ is hermitian.
2.) Through the use of dirac notation, prove th... | 5 | [
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Geometric Sequences and Series
August 23rd 2011, 03:45 PM #1
Member
Joined
Jul 2011
Posts
140
Geometric Sequences and Series
Q. Show that if log a, log b and log c are three consecutive terms of an arithmetic sequence, then a, b and c are in geomtric sequence.
Eq.s: Un = a + (n - 1)d and Un = ar^n -... | 4 | [
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Synopses of Topics - Inequalities
Inequalities
As we start this section, you should recall the
basic rules which involve order
(these are BR10, BR11, and BR12), that were introduced in the Real Numbers section. (These should start becoming quite familiar to you now.)
We note the following:
a < b implies that b... | 4 | [
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Number of Diagonals in a Polygon - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Number of Diagonals in a Polygon - Concept 16,980 views
A diagonal is a segment that connects two non-consecutive vertices in a polygon. The number of diagonals in a p... | 4 | [
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A question on K_1 of an elliptic curve
up vote 8 down vote favorite
3
Consider an elliptic curve $E/ \mathbb{Q}$, with a regular model $\mathcal{E} / \mathbb{Z}$. We have (Beilinson regulator) maps $$ K_1(\mathcal{E})^{(2)} \to K_1(E)^{(2)} \to H_D^3(E_{/ \mathbb{R}} ,
\mathbb{R}(2) )$$ from (an Adams eigenspace of) K... | 4 | [
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Differentiation
July 22nd 2011, 01:41 AM #1
Member
Joined
Jan 2011
Posts
110
Differentiation
I need to prove from the definition of defferntiability that the function
f(x)= 2x-1/x-2
is differentiable at the point 1 and find f'(1)
So far I have
The difference quotient for f at 1 is
... | 5 | [
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Square Root
√Square Roots
© Copyright 1996-2006 by Paul Hsieh Everything you ever wanted to know about square roots, but were afraid to ask.
Compute one now! Algorithms Implementations By Hand Distance Estimates Mathematics Acknowledgements
1. Compute a square root now!
(If the output comes up as NaN, it mean... | 5 | [
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Strict
March 15th 2009, 02:20 PM
manjohn12
Strict
Let $f: [a,b] \to \mathbb{R}$ be Riemann integrable on $[a,b]$. Suppose that $f(x) \geq 0$ for all $x \in [a,b]$ and that $f$ is continuous on $[a,b]$. If $f>0$ somewhere in $[a,b]$, prove that $
\smallint_{a}^{b} f > 0$.
Proof. If we look at the most ex... | 5 | [
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logs and expontential functions
May 3rd 2007, 06:03 AM #1
Newbie
Joined
Aug 2006
Posts
24
logs and expontential functions
I am not sure if I am getting this or not. Would you please check a couple of problems before I go any further.
f(x) = ln2x
f'(x) =1/u (du/dx 1/2x)(d/dx2x)
f'(x) = 2/2x
... | 5 | [
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[SOLVED] IVP for an exact Diff Eqn
September 2nd 2009, 06:30 PM #1
[SOLVED] IVP for an exact Diff Eqn
Solve the given initial value problem and determine at least approximately where the solution is valid.
$(2x-y)dx + (2y-x)dy=0$ where $y(1)=3$
I really have no idea how to go correctly solve this. I eve... | 5 | [
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-0.0189208984375,
-0... | 8,427 | 8427 | |
l'hospital rule
November 6th 2009, 07:43 PM #1
Senior Member
Joined
Apr 2009
Posts
253
l'hospital rule
$\lim_{x\to 0^+} \frac{ln x}{x}$
My answer: $\infty$
Correct answer: $-\infty$
And yes its $\lim_{x\to 0^+} NOT \lim_{x\to 0^-}$
I don't get it.
This is a case where L'Hopital's... | 5 | [
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Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
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Homework Help
Posted by Please help me understand on Thursday, February 9, 2012 at 1:39am.
Yes it was answered previously but I am sorry that I did not follow the pattern. I was told that the answer that I submitted was incorrect. Please help if you can. Thank you so very much.
THE PROBLEM READS:
A three-digit numbe... | 4 | [
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Efficient calculation of steady state probability distribution for stochastic biochemical reaction network
Abstract
The Steady State (SS) probability distribution is an important quantity needed to characterize the steady state behavior of many stochastic biochemical networks. In this paper, we propose an
efficient an... | 4 | [
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... | 8,431 | 8431 | |
number of even integers with no repeated digits between 20000 and 70000
August 11th 2012, 11:36 PM
myenemy
number of even integers with no repeated digits between 20000 and 70000
I have been given the problem to solve how many even integers with no repeated digits between 20,000 and 70,000.
my first thought... | 4 | [
0.006561279296875,
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-0.100... | 8,432 | 8432 | |
minimize the sum of absolute eigenvalues
up vote 6 down vote favorite
Hi,
We have a real symmetric matrix M with diagonal elements 0's, the eigenvalues and eigenvectors of M are computed.
Now we wish to change its diagonal elements arbitrarily to minimize the sum of absolute eigenvalues. Does there exist a way to fi... | 5 | [
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0.109375,
0.038330078125,
0... | 8,433 | 8433 | |
integration by substitution
It's a good idea to get a common denominator... \displaystyle \begin{align*}\int{\frac{1}{e^x + e^{-x}}\,dx} &= \int{\frac{1}{e^x + \frac{1}{e^x}}\,dx} \\ &= \int{\frac{1}{\frac{e^{2x} + 1}{e^x}}
\,dx} \\ &= \int{\frac{e^x}{e^{2x} + 1}\,dx} \end{align*} Now make the substitution $\displaysty... | 5 | [
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Patent US7606703 - Layered celp system and method with varying perceptual filter or short-term postfilter strengths
CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims priority from provisional application: Ser. No. 60/248,988, filed Nov. 15, 2000, which is incorporated herein by reference.
BACKGROUND OF ... | 4 | [
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Solving a proof
March 4th 2007, 07:00 AM
sergeantjoker
Solving a proof
The problem is:
There are real numbers a and b such that
squareroot(a+b) = squareroot(a) + squareroot(b).
Basically, I have to find two numbers that when added together the resulting squareroot is equal to if I took the square ... | 4 | [
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Thevenins Equivalent Circuit Example: The Bridge Circuit
Thevenin s Equivalent Circuit Example: The Bridge Circuit
The Thevenin theorem states that any real source may be represented as an ideal potential source in series with a resistor. In many ... | 5 | [
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Applied Numerical Methods for Engineers and Scientists
More About This Textbook
Overview
The availability of inexpensive high-speed computing power makes the numerical solution of even complex engineering problems economically feasible. In the face of ever-increasing demands on the
engineering profession to perform b... | 4 | [
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how to find p and q (Charpit method) for this equation
April 27th 2013, 05:42 AM #1
Newbie
Joined
May 2009
Posts
2
how to find p and q (Charpit method) for this equation
$2uq^2+y^2(q-p)=0$
$p= \partial u/\partial x$; $q= \partial u/\partial y$
We get the charpit equations:
$\frac{dx}{-y^2}=... | 4 | [
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-... | 8,439 | 8439 | |
Sample Size Formula
Sample Size
Sample size is the act of determining the number of samples or replicates to include in the statistical sample.
The important feature of this is to make inferences in the population of the sample.
It is based on the expenses of the data collection and plays a vital role to determine st... | 4 | [
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0.060546875,
-0.0361328... | 8,440 | 8440 | |
Angle Help Please
April 23rd 2008, 05:36 PM
stellina_91
Angle Help Please
Find a in the diagram below, giving all reasons.
Could someone please help me with this question. I have no idea where to start!
Thanks.
April 23rd 2008, 10:02 PM
Soroban
Hello, stellina_91!
I assume that $EFHD$ is a ... | 4 | [
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Silly question about mixing
up vote 7 down vote favorite
3
Let $T$ be a measure-preserving transformation on a probability space $(\Omega,\mathcal B,\mu)$. Assume that for any pair of measurable sets $A,B\in\mathcal B$ with $\mu(A), \mu(B)>0$, one can find
$N$ such that $T^{-n}(A)\cap B\neq\emptyset$ for all $n\geq N$... | 4 | [
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0.00830078... | 8,442 | 8442 | |
Geometry problem
April 15th 2008, 05:54 AM #1
Newbie
Joined
Apr 2008
Posts
1
Geometry problem
Hi everyone my name is Rukkk and I am new to this forum I have been trying to solve the below problem but not succeeding.
Can anyone help me?
Working outs would also be greatly appreciated.
Thanks fo... | 4 | [
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Stuck on a mechanics sum in moon's gravity:help:
December 28th 2008, 04:17 AM #1
Stuck on a mechanics sum in moon's gravity:help:
The moon can be modeled as a sphere of radius 1740 km and mass 7.44*10^22 kg. A rocket of mass m is fired vertically from the surface of the moon with speed 1.5 km/s. It may be assumed... | 5 | [
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0.02294921875,
0.05834960... | 8,444 | 8444 | |
Related rates problem
July 18th 2007, 05:04 PM #1
Junior Member
Joined
Jul 2007
Posts
45
Related rates problem
Hello, I'm working on a related rates problem that I can't seem to get. It should be fairly easy, but trying to piece the values together just isn't working out for me.
The question is:
... | 4 | [
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0.125,
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0.09375,
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0.064941406... | 8,445 | 8445 | |
Find a basis for the solution space of the homogeneous system of equations.
October 8th 2010, 04:12 PM
linalg123
Find a basis for the solution space of the homogeneous system of equations.
Find a basis for the solution space of the homogeneous system of equations.
2x1 + x2 + x3 + x4 = 0,
3x1 + x2 - x3 ... | 5 | [
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0.01287841796875,
-0.0732421875,
-0.062011... | 8,446 | 8446 | |
Reducing Algebraic Fractions by Cancelling
Date: 03/16/2004 at 22:26:49
From: Jennie
Subject: canceling factors or terms
When reducing fractions, how come you can cancel factors but you can't
cancel terms? Can you please explain, hopefully with examples too?
Thank you so much!
Date: 03/17/2004 at 14:34:44
From: D... | 4 | [
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probability space and non-random variables
September 26th 2010, 09:50 AM
0123
probability space and non-random variables
Hello! on my book there is this exercise, but I don't understand what it is asking and clearly I don't know how to solve it.
It says: Give an example of a probability space and a real-val... | 4 | [
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... | 8,448 | 8448 | |
reflexive, symetric,transitive - examples?
December 30th 2009, 04:21 AM #1
Newbie
Joined
Dec 2009
Posts
9
reflexive, symetric,transitive - examples?
Hello,
I was wondering if someone could help me with this problem:
A relation on set can be reflexive (R), symmetric (S) or transitive(T) (..of cou... | 4 | [
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0.080078125,
-0.00494384765625... | 8,449 | 8449 | |
Need help re-arranging an equation!
June 18th 2012, 10:44 PM
Rhys101
Need help re-arranging an equation!
Hey all I need some help re-arranging this equation so I can find z here it is:
also is w^2/wn^2 the same as (w/wn)^2? so I could replace w^2/wn^2 with say r^2?
x= (w^2/wn^2) / (sqrt( {1-w^2/wn^2}^2... | 4 | [
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0.11572265625,
-0.037841796875,
-0.002838134... | 8,450 | 8450 | |
Bohr's First Big Mistake, by Miles Mathis
return to homepage
return to updates
... | 4 | [
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-0.043212890625,
... | 8,451 | 8451 | |
Math Forum Discussions
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Topic: Pierre Fermat ever stack rectangles? If so, then h... | 5 | [
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0.0732421875,
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0.057373046875,
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0.05810546875,
-0.041748046875,
0.00897216796875,
-0.087890625,
-0.01672363... | 8,452 | 8452 | |
Solving Equations Numerically: Newton's Method, Bisection Method
Date: 11/05/2002 at 07:36:30
From: Emily Bardsley
Subject: Solving equations numerically
Hey,
Would you be able to tell me how you can work out equations that can
only be solved numeraically and not algebraically. Surely the only way
is not to try out ... | 5 | [
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0.034423828125,
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0.0005035400390625,
-0.0927734375,
0.0483... | 8,453 | 8453 | |
Help with finding an expression for an integral...
December 25th 2008, 06:34 AM #1
Member
Joined
Nov 2007
Posts
100
Help with finding an expression for an integral...
Find an expression for $\int_1^s \frac {1}{x^m} dx$ in terms of m and s, where m is a positive rational number, m != -1 and s > 1. Show th... | 5 | [
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0.052490234375,
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0.06201171875,
0.0869140625,
... | 8,454 | 8454 | |
OpenGL Matrices
03-13-2006 #1
User
Join Date
Jan 2006
Location
Canada
Posts
498
OK, I've got several things I need to know.
#1: I need an algorithm for finding the inverse of a given matrix.
#2: I want to be able to modify OpenGL's projection matrix manually, instead of using glRotatef and g... | 4 | [
-0.07373046875,
-0.0274658203125,
-0.058837890625,
-0.055419921875,
-0.0230712890625,
-0.060791015625,
-0.024169921875,
-0.046630859375,
-0.046875,
0.0093994140625,
-0.00958251953125,
0.01275634765625,
-0.032958984375,
-0.01507568359375,
-0.0830078125,
-0.00567626953125,
0.0079956054... | 8,455 | 8455 | |
index of morse functions and homotopical dimension
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is it true that any manifold homotopy equivalent to a k-dimensional CW-complex admits a proper Morse function with critical po... | 5 | [
-0.035400390625,
-0.01123046875,
0.00933837890625,
0.01318359375,
-0.08935546875,
0.07275390625,
0.03369140625,
-0.0240478515625,
0.03173828125,
0.06396484375,
-0.02197265625,
0.01544189453125,
0.042724609375,
0.0390625,
-0.0255126953125,
-0.0732421875,
-0.058349609375,
0.002151489... | 8,456 | 8456 | |
Applications of exponential equations
October 9th 2007, 10:59 AM #1
Junior Member
Joined
May 2007
Posts
36
Applications of exponential equations
I have two problems on my test review that I have no idea where to start.
1.) The population of Merchantville was 20,000 in 1990 and 25,000 in 1995. If exp... | 4 | [
-0.042724609375,
0.05322265625,
0.0196533203125,
0.0242919921875,
-0.009033203125,
0.0079345703125,
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0.08251953125,
-0.039794921875,
0.08056640625,
0.1376953125,
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0.039794921875,
0.036865234375,
0.056396484375,
0.033203125,
-0.059326171875,
-0.0830078125... | 8,457 | 8457 | |
Some problems
December 29th 2005, 11:44 PM #1
Newbie
Joined
Dec 2005
From
Kolkata, India
Posts
19
Some problems
Hi I have problems in some questions.
A) My answers to these questions do not match the book answers:-
1) The three vertices of a paralleologram are $(3,4), (3,8)$ and $(9,8)$. Fin... | 4 | [
-0.044189453125,
0.06201171875,
-0.020263671875,
-0.08154296875,
-0.040283203125,
0.03466796875,
0.03564453125,
0.02587890625,
-0.036376953125,
0.04638671875,
0.036865234375,
-0.053955078125,
0.00970458984375,
0.04150390625,
0.033203125,
0.05078125,
-0.023681640625,
-0.0693359375,
... | 8,458 | 8458 | |
Laplace Transforms
Date: 05/28/97 at 11:54:17
From: Grahame Duke
Subject: Laplace Transforms
I'm stuck on inverse Laplace transform problems. Like everything else,
the simple ones I can do, but as soon as they get harder, I can`t find
any textbooks that can help me.
Can you tell me the solution and step-by-step wor... | 5 | [
-0.126953125,
0.05419921875,
0.1015625,
-0.02001953125,
0.10986328125,
0.078125,
-0.10595703125,
0.07861328125,
-0.027099609375,
-0.03076171875,
0.03662109375,
0.00982666015625,
0.016357421875,
0.03173828125,
-0.06787109375,
-0.041015625,
-0.02294921875,
0.0712890625,
-0.04174804... | 8,459 | 8459 | |
Factoring a Trinomial
Date: 08/22/2003 at 04:09:26
From: Jen
Subject: Factoring a trinomial
What is factoring by grouping? When factoring a trinomial, why is it
necessary to write the trinomial in four terms?
2x^3 - 5 x^2 + 3 x
First, we factor out x such that
2x^3 - 5 x^2 + 3 x = x (2x^2 - 5 x + 3)
We obtain the fo... | 4 | [
-0.052490234375,
0.0086669921875,
0.043212890625,
0.04150390625,
0.046875,
0.10693359375,
-0.0115966796875,
-0.030029296875,
-0.035888671875,
-0.04931640625,
0.06103515625,
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0.044921875,
-0.05859375,
0.018310546875,
0.033203125,
-0.053466796875,
0.0030517578125,
-... | 8,460 | 8460 | |
conic sections, parabola
May 27th 2008, 02:56 PM
Tim28
conic sections, parabola
What if the directrix is not parallel to an axis? Suppose it is y=x+2, and let the focus be ((4,0)
How do I derive the equation of the parabola? The distance from the parabola is perpendicular to the directrix.
May 27th 2008, 11... | 5 | [
0.01190185546875,
0.003875732421875,
-0.0830078125,
-0.09326171875,
0.02294921875,
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0.1005859375,
0.0400390625,
0.068359375,
0.09228515625,
-0.0164794921875,
0.0203857421875,
0.03466796875,
-0.040771484375,
0.0849609375,
-0.056884765625,
-0.0825195312... | 8,461 | 8461 | |
Curve
November 29th 2008, 02:35 PM
Rimas
Curve
Given the curve $x^2-xy+y^2=9$
(A) write a general expression for the slope of the curve.
(B) Find the coordinates of the points on the curve where the tangents are vertical.
(C) At the point (0,3) find the rate of change in the slope of the curve with r... | 4 | [
-0.0634765625,
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0.0224609375,
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0.0791015625,
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0.006317138671875,
0.06591796875,
-0.0966796875,
-0.004974365... | 8,462 | 8462 | |
solve an xor'd linear equation
July 18th 2012, 10:51 PM
MathGeek1983
solve an xor'd linear equation
hello,
i have 6 variables
a=5
b=10
c=7
d=9
x=1
y=2
when i solve this equation using gauss-jordan it gives me wrong answer
a⊕0⊕c⊕0⊕0⊕0=2
0⊕b⊕0⊕d⊕0⊕0=3
a⊕0⊕0⊕0⊕x⊕0=4
... | 5 | [
-0.06494140625,
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-0.04541015625,
-0.048095703125,
-0.025634765625,
-0.0771484375,
-0... | 8,463 | 8463 | |
Problem
November 8th 2006, 05:51 PM
jarny
Problem
I need help on how to solve this problem: Each car of a five car train must be painted a solid color. The only color choices are red, blue, and yellow. If each of these colors must be used for at
least one car, in how many ways can this train be painted? Help... | 4 | [
-0.01611328125,
0.0037078857421875,
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0.011474609375,
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0.00555419921875,
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0.09912109375,
0.064453125,
0.0218505859375,
0.11279296875,
0.01263427734375,
-0.0... | 8,464 | 8464 | |
Ring Theory - a Telescoping Problem
Date: 01/20/2002 at 16:30:59
From: VAH
Subject: Abstract Algebra - Ring Theory
An element a in a ring R is said to be nilpotent if there exists a
positive integer n such that a^n = 0.
Show that if a is nilpotent, a-1 is a unit.
a-1 is a unit if there is an element b such that (a... | 5 | [
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0.10595703125,
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0.0771484375,
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-0.06298828125,
0.01953125,
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0.0308837890625,
-0.0274658203125,
0.0322265625,
-0.04150390625,
-0.01477050781... | 8,465 | 8465 | |
Laplace transform - Hypberbolic cosine
December 13th 2010, 09:27 PM #1
Laplace transform - Hypberbolic cosine
Problem:
Find the laplace transform of $\cosh bt$ where $b \in \mathbb{R}$
Attempt:
$\mathcal{L}\{\cosh bt\} = F(s) = \frac{1}{2}\left[\displaystyle\int_0^{\infty} e^{(b - s)t}dt + \displayst... | 5 | [
-0.025634765625,
-0.01055908203125,
-0.031005859375,
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0.0732421875,
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0.0245361328125,
-0.027587890625,
0.07421875,
0.058837890625,
-0.028076171875,
0.0279541015625,
-0.0206298828125,
0.031005859375,
0.06494140625,
-0.0052490234375,
-0.1367... | 8,466 | 8466 | |
Quantifying, displaying and accounting for heterogeneity in the meta-analysis of RCTs using standard and generalised Q statistics
Abstract
Background
Clinical researchers have often preferred to use a fixed effects model for the primary interpretation of a meta-analysis. Heterogeneity is usually assessed via the well... | 4 | [
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0.04443359375,
0.03857421875,
-0.039306640625,
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-0.0... | 8,467 | 8467 | |
Imaginary part of number
January 25th 2009, 02:48 PM #1
Junior Member
Joined
Jan 2009
Posts
40
Imaginary part of number
Find the real and imaginary parts of the complex number.
4 - √-11
I know that the real part of this is 4, but I don't know the imaginary portion.
a + bi
a is the rea... | 4 | [
-0.0634765625,
0.041015625,
-0.0032196044921875,
-0.01312255859375,
-0.0595703125,
-0.04150390625,
0.005859375,
0.049560546875,
0.05078125,
-0.036865234375,
0.0169677734375,
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0.05029296875,
0.09130859375,
-0.05908203125,
-0.055419921875,
0.042236328125,
0.0164794921875... | 8,468 | 8468 | |
Need Little Help
March 30th 2010, 06:57 AM
kap
Need Little Help
Hello Everybody,
I need help in solving this question. The equation is:
$5x^2 + 4x + 1 \equiv 0$
The question is to:
determine all the solutions in Z(17) and in Z(20).
[In Z(17): 9 and 14, in Z(20): none ]
NOTE::
The... | 4 | [
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0.09619140625,
0.1171875,
0.025146484375,
0.04296875,
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0.0216064453125,
0.00003838539123535156,
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0.03466796875,
-0.00201416015625,
0.08544921875,
0.0859375,
-0.07861328125,
0.032470703125,
0.01519775390625,
-0.0185546875,
... | 8,469 | 8469 | |
MathPages Wanted List
The twenty-five mathematical problems and questions listed below were
first posted on the internet in 1995. Since that time, Problems 5, 7,
8, and 22 have been solved completely, and part of Question 12 has
been answered. The other problems remain unsolved.
The links in this list point to arti... | 5 | [
-0.043701171875,
0.005035400390625,
0.0250244140625,
-0.08203125,
0.012451171875,
0.0732421875,
0.05322265625,
-0.005157470703125,
0.00016880035400390625,
-0.0517578125,
0.017333984375,
0.037353515625,
0.052734375,
0.064453125,
-0.0162353515625,
0.020263671875,
-0.029296875,
-0.014... | 8,470 | 8470 | |
Fractions
Can anybody give me give me some idea how to tackle this: 1/ (2/5) - 1/ (2/3)
When you have an expression like $x=\frac a{\dfrac bc}$ it's the same if we say $x=a:\dfrac bc$ Does that make sense?
OK. These are completely new to me but here goes: 1/ (2/5) - 1/ (2/3) = 1 : 2/5 - 1: 2/3 1/1 divide by 2/5 flip ... | 4 | [
-0.0869140625,
-0.0174560546875,
0.0927734375,
0.0015411376953125,
-0.034912109375,
-0.08251953125,
-0.0172119140625,
-0.003997802734375,
0.01361083984375,
0.0189208984375,
-0.0216064453125,
-0.15234375,
0.0216064453125,
0.04931640625,
-0.006011962890625,
0.06494140625,
0.02856445312... | 8,471 | 8471 | |
Interesting set/divisibility/counting question
May 3rd 2010, 04:59 PM
Chris11
Interesting set/divisibility/counting question
A set S, with only a finite number of integers as members, has the property that the average of any 3 of its members is not an integer. What is the maximum number of elements that S may ha... | 4 | [
0.03125,
-0.0419921875,
-0.0419921875,
-0.0159912109375,
0.050048828125,
-0.00830078125,
0.10546875,
0.0250244140625,
-0.018310546875,
0.0238037109375,
-0.13671875,
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0.126953125,
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-0.00567626953125,
-0.019287109375,
0.0322265625,
-0.060302734375,
0.03710... | 8,472 | 8472 | |
Convergence- proving bounded
May 8th 2010, 05:50 AM #1
Newbie
Joined
May 2010
Posts
13
Convergence- proving bounded
Given sequence, a= 1/1^2+1/2^2+1/3^2+.......+1/n^2
(1) I have to prove for natural numbers n, such that n is greater than or equal to 2,
a is less than or equal to 1+1/1*2+1/2*3+1... | 4 | [
-0.023193359375,
0.0037841796875,
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0.037353515625,
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-0.0478515625,
0.10400390625,
-0.128... | 8,473 | 8473 | |
How Wide is the Garden?
Associated Topics || Dr. Math Home || Search Dr. Math
How Wide is the Garden?
Date: 01/06... | 4 | [
0.06884765625,
0.0927734375,
0.04345703125,
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0.0252685546875,
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0.0859375,
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0.05517578125,
-0.003326416015625,
-0.008483... | 8,474 | 8474 | |
Lin. Dep. Matrix
September 29th 2008, 04:31 PM #1
Newbie
Joined
Sep 2008
Posts
9
Lin. Dep. Matrix
Find all values of $a$ such that the set \{\left[ \begin {array}{c} a\\oalign{\medskip}1\end {array} \right], \left[ \begin {array}{c} a+2\\oalign{\medskip}a\end {array}\right]\} is linearly
dependent.
... | 4 | [
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-0.00653076171875,
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-0.0205078125,
-0.052490234375,
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0.032470703125,
-0.08056640625,
-0.0101318359375,
0.0390625,
0.00121307373046875,
0.02294921875,
-0.0299072265625,
-0.02880859375,
-0.06640625,
0.0947265625,
-0.010009765625,
-0.02429... | 8,475 | 8475 | |
Math Forum Discussions - Re: how to find x for given y
Date: Jan 13, 2013 5:14 PM
Author: Derek Goring
Subject: Re: how to find x for given y
On Monday, January 14, 2013 10:14:38 AM UTC+13, johnyyy wrote:
> Hi everyone!
>
> I have a problem with matlab. I was trying to find the answer in the Internet, but I didn't.
>
... | 5 | [
-0.0693359375,
-0.0032806396484375,
0.01287841796875,
-0.03515625,
0.05126953125,
-0.08203125,
0.011474609375,
0.026123046875,
-0.0191650390625,
0.0302734375,
0.04345703125,
-0.0234375,
-0.0240478515625,
0.03662109375,
-0.0252685546875,
-0.03271484375,
-0.07470703125,
-0.033203125,... | 8,476 | 8476 | |
Math Forum Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Gamma Function - Bessel Function Identity
Replies:... | 4 | [
-0.140625,
0.0167236328125,
0.0361328125,
0.06005859375,
-0.050537109375,
0.028076171875,
0.0703125,
-0.018798828125,
0.04052734375,
0.06787109375,
0.013427734375,
-0.006927490234375,
0.0206298828125,
0.049072265625,
0.01806640625,
-0.015625,
-0.03515625,
0.09814453125,
-0.066406... | 8,477 | 8477 | |
Max and Min of Functions without Derivative
Date: 04/22/2003 at 11:36:29
From: Roy
Subject: Max and Min of functions without derivative
Hello Dr. Math,
I was curious to know if there is a general way to find the max and
min of cubic functions without using derivatives. Our book does this
with the use of graphing cal... | 5 | [
0.0025482177734375,
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0.04443359375,
0.06689453125,
0.0380859375,
0.0123291015625,
0.0035247802734375,
... | 8,478 | 8478 | |
Is it possible to solve this (simple?) set of equations?
September 14th 2011, 05:44 AM #1
Newbie
Joined
Sep 2011
Posts
7
Is it possible to solve this (simple?) set of equations?
Hi guys,
Is it possible to solve:
d = a - (b /2);
e = d + b;
f = p - (c /2);
g = f - (d /2);
h = g +... | 4 | [
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0.0390625,
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0.01177978515625,
-0.00885009765625,
-0.1005859375,
0.046875,
... | 8,479 | 8479 | |
holomorphic equation
up vote -2 down vote favorite
hi,
i am working for some time on a problem and at some point i cant go further. here the critical part: Let $U \subset \mathbb{C}^{n}$ be a open set and consider $c : U \rightarrow \mathbb{R}$ a smooth
positive function. Does there exist any holomorphic function $f ... | 5 | [
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0.058349609375,
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0.1162109375,
0.0021820068359375,
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0.0030975341796875,
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0.01287841796875,
-0.0380859375,
-0.07275390625,
-0.051025390625,
-0.041... | 8,480 | 8480 | |
Poincare dodecahedron space
up vote 9 down vote favorite
1
The Poincare homology sphere $X$ is constructed by identifying opposite faces of a dodecahedron by a (clockwise) twist of 36 degree.
Many books say its fundamental group $\pi_1(X)$ is the binary icosahedron group, my question is how to prove this. In Ratcliff... | 5 | [
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-0.06396484375,
-0.09814453125,
-0.035888671... | 8,481 | 8481 | |
Integrating Factor.
May 26th 2010, 11:57 PM
krzyrice
Integrating Factor.
cos x dy/dx + y sin x = sin x cos x
dy/dx - y/x = (ln x)^4
How would i solve for find y in these two problems? I'm looking over a similar example which used substitution but I'm confused on these two.
May 27th 2010, 01:22 AM
Pro... | 5 | [
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0.09912109375,
0.080078125,
0.0242919921875,
-0.039306640625,
0.0375976562... | 8,482 | 8482 | |
Normal Approximation confusion
December 3rd 2007, 03:38 AM #1
Member
Joined
Oct 2007
Posts
145
Normal Approximation confusion
There is an example on the normal approximation for binomial distribution.
Given n =10, p = 0.2.
We calculate binomial distribution from k=0 to k=6.
$k=0: {10 \choose... | 5 | [
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finding cp when sp and profit or loss percent are given
Finding CP when SP and Profit or Loss Percent are given
Finding CP when SP and Profit or Loss Percent are given Examples on finding cp when sp and profit or loss percent are given :
1) A man sells his scooter for $18000 making a profit of 20%. How much did the ... | 4 | [
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Runners and Heart Attacks
Date: 01/14/97 at 11:54:21
From: casey beck
Subject: Statistics
Hello,
I have a statistics problem. I tried all last night to figure it out
and I am just stumped. The problem is:
The influence of running on preventing heart attacks has been studied
by a local runners club. The following t... | 5 | [
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... | 8,485 | 8485 | |
Exponential Derivative
October 31st 2009, 08:28 PM #1
Junior Member
Joined
Oct 2009
Posts
29
Exponential Derivative
What is the derivative of
I was thinking of converting it to x^(1/6)(ln(x)), but after I take the derivative, my answer is always wrong.
$y = \left(\sqrt[6]{x}\right)^{\ln{x}}$
... | 5 | [
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... | 8,486 | 8486 | |
Magnetic Fields in the Early Universe - D. Grasso and
H.R. Rubinstein
5.1. Low Lying States for Particles in Uniform Magnetic Fields
Following Refs. [216, 217] in this section we will consider questions related to the mass shifts and decay of bound states of quarks. Mass shifts occur both due to the effect that magnet... | 4 | [
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Math Help
Find y′ if y = (10x+3)^6x+7 differentiate both sides with respect to x = ? solve for y' = ?
I assume that you mean: $y = (10x+3)^{6x+7}$ If so re-write the term of the function to: $y = e^{(6x+7) \cdot \ln(10x+3)}$ To differentiate this exponential function use chain rule and product rule:
$y'= e^{(6x+7) \c... | 5 | [
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Parametric equation problem?
April 2nd 2011, 11:54 AM
homeylova223
Parametric equation problem?
The human cannonball is shot out of a cannon with an initial velocity of 70 mph 10 feet above the ground at an angle of 35 degrees.
What is the maximum range of the cannon?
I did this parametric equation
... | 4 | [
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... | 8,489 | 8489 | |
Infinity proving
November 25th 2009, 02:43 PM
450081592
Infinity proving
Suppose f : D --> R is a function whose domain contains (-infinity, a) for some a $\in$R. We define $lim x--> - infinity f(x) = infinity$to mean for all M >0 there exists K <0 such that
$x < K ==> f(x) > M$.
We define $lim x--> - ... | 4 | [
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Trig identity
January 29th 2010, 07:51 AM #1
Senior Member
Joined
Oct 2009
Posts
459
Trig identity
I have partially solved a question.
Prove that:
(sin x)^2 - (sin y)^2 = (sin x cos y)^2 - (cos x sin y)^2
$(\sin x)^2 - (\sin y)^2 = (\sin x \cos y)^2 - (\cos x \sin y)^2$
$\sin^2 x - \s... | 4 | [
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x^3 + (a-1)x^2 + (9-a)x - 9 = 0
July 12th 2005, 01:33 AM #1
Junior Member
Joined
May 2005
Posts
33
x^3 + (a-1)x^2 + (9-a)x - 9 = 0
For what values of a there are exactly two real numbers that satify the equation:
x^3 + (a-1)x^2 + (9-a)x - 9 = 0
Find all possible answers.
Firstly this is wh... | 4 | [
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Basic Integration
December 11th 2008, 04:46 PM
Sm10389
Basic Integration
Find the area between y=ln(x) and the x axis on the interval [1,e^2]
I know how to integration, but is this possible? How would I integrate lnx?
December 11th 2008, 05:02 PM
Jhevon
Quote:
one way, the most famous, is to in... | 5 | [
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Math Forum Discussions
Re: can someone point me to the proof that
Posted: Jul 24, 2013 10:39 AM
On 23 Jul 2013 19:15:56 GMT, Bart Goddard <goddardbe@netscape.net>
wrote:
>dullrich@sprynet.com wrote in news:ppiqu8d1micop548h956stpcfgoopcufjv@
>4ax.com:
>
>> Looking at the difference of our two polynomials,
>> say p(t)... | 4 | [
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nvesting
by CI Staff
The relationship between risk and return is an essential concept in finance, which argues that riskier investments should compensate investors with higher returns and safer investments should not
experience exorbitant price fluctuations.
When comparing the performance of two securities, funds or ... | 4 | [
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Equation of a horizontal and vertical asymptote
May 10th 2010, 06:35 PM #1
Member
Joined
Apr 2008
Posts
78
Equation of a horizontal and vertical asymptote
Consider the rational function f(x)= 3x^2 - 12 / x^2 - 3x + 2
A. Give the equation of the horizontal asymptote.
B. Give the equation(s) ... | 4 | [
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... | 8,496 | 8496 | |
Operations with Algebraic Vectors
February 22nd 2013, 08:41 PM
misiaizeska
Operations with Algebraic Vectors
The question that I am having trouble with is:
a) Find the point on the y-axis that is equidistant from the points (2,-1,1) and (0,1,3).
b) Find a point not on the y-axis that is equidistant from ... | 4 | [
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Parallelogram with Vectors
November 22nd 2009, 12:49 AM #1
Junior Member
Joined
May 2009
Posts
51
Parallelogram with Vectors
Hello! Im writing a linear Algebra test in January and im currently practicing. But my problem is, that its hard to verify my
results so id thought i could post here. Please t... | 4 | [
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trig substitution and integration by parts
January 14th 2009, 07:40 PM #1
Member
Joined
Jan 2009
Posts
91
trig substitution and integration by parts
how do i find the area of the ellipse 4x^2 + y^2 = 9
using some form of integration by parts?
trig substitution?
Last edited by razorfever; Jan... | 5 | [
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