content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Centre of a group proof
May 4th 2012, 08:16 PM #1
Newbie
Joined
Mar 2012
From
UK
Posts
23
Thanks
1
Centre of a group proof
Hey,
I have this question which asks to prove that if a group has an element, a such that |a|=2, (exactly one order 2 element a) that this element is in the centre of th... | 4 | [
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Egoroff's Theorems Proof
November 23rd 2011, 12:51 AM #1
Junior Member
Joined
Mar 2010
Posts
45
Egoroff's Theorems Proof
There are some part of this proof I couldn't understand. First, let me state the theorem and its proof which quoted from an analysis book.
EGOROFF's THEOREM :
$m(A)< \infty$ w... | 5 | [
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Computing Individual Discrete Logarithms
Next: The Number Field Sieve Up: No Title Previous: Linear Algebra
Computing Individual Discrete Logarithms
The challenge, provided by M. Shannon of Sun Microsystems, was to find m such that:
where
z = 3... | 4 | [
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Math Forum Discussions
Re: Problem with NMaximize
Posted: Jun 28, 2008 5:58 AM
ramiro wrote:
> Thank you very much for your responses, Bobby and Jean-Marc. I did try
> changing the parametrization (thanks Bobby!) and I got an answer.
>
> However, let me try again with a hopefully more clear example, as I
> don't under... | 5 | [
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Show that 98^76543 + 21 is not divisible by 11.
Show that $98^{76543} + 21$ is not divisible by $11$. I do not know how to approach this.
Since $n = 76543$ is odd, so $98^{76543} - 1 \equiv 9 (mod 11)$. We also have $20 \equiv 9 (mod 11)$. Hence $98^{76543} - 1 - 20 \equiv 9 - 9 (mod 11)$ or $98^{76543} - 21 \equiv 0 ... | 5 | [
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Pendulum – a third way
Looking back at part I of this idea, I don’t think I did a very good job. Let me summarize the key things I wanted to say:
• Normally, there are two ways of modeling the motion of an object:
• Calculating the forces on the object and using the momentum principle or Newton’s second law (which... | 4 | [
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Math Forum Discussions
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Topic: Inverse gamma function
Replies: 1 Last Post: Nov 4... | 5 | [
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Makeup Classwork and Homework Assigned for Lectures 1 - 22
updated 27 April 2009 This handout provides all makeup classwork and homework assignments that are assigned during each class. Students will miss 5 points for every lecture they miss, unless they complete the Makeup Class... | 4 | [
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Polar coordinates area of the region bounded problem
July 21st 2010, 10:08 AM #1
Newbie
Joined
Jul 2010
Posts
4
Polar coordinates area of the region bounded problem
Find the area of the region bounded by: r = 9 − 4 sinθ
I tried this multiple times and the answer i got was 381.7035 but that is not co... | 5 | [
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FCM Integral Functions
Mathematical Tripos Part II Michaelmas term 2007
Further Complex Methods Dr S.T.C. Siklos
Example: Functions defined by integrals
We will investigate the ra... | 5 | [
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Linear Feedback Shift Registers
Author: Burt Rosenberg
Created: 11 March 2009
Last Update: 11 March 2009
Overview
One way of providing a pseudo random bit stream is to use a shift register in which the bits shifted in depend on the current contents of the shift register. There are two forms for such shift
registers:... | 4 | [
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Galois group of a product of irreducible polynomials
up vote 4 down vote favorite
2
Hello
Suppose given a polynomial $P=Q_1\cdots Q_k$ of degree $n$, where each $Q_i$ is irreducible. Suppose also that I know the Galois group $G_i$ (over the rationals) of each irreducible factor $Q_i$.
Is there an easy correlation be... | 5 | [
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Surface Area of Surface
November 1st 2010, 01:11 AM #1
Senior Member
Joined
Apr 2009
Posts
306
Surface Area of Surface
I got part a) b) c) however I am just unsure on part d)
For a) I got $r(\theta, \phi) = \sin(\phi)\cos(\theta)i + \sin(\phi)\sin(\theta)j+\cos(\phi)k$
b) $r(x,y) = xi+yj... | 4 | [
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Dividing Polynomials
First, separate the dividend and divisor. Divide each term of the dividend by its divisor.
Need to divide $\frac{x^{2} + 3x + 5}{x + 1}$
x2 + 3x + 5 = (2 + x)*(1 + x) + 3
Which is in the form of Dividend = (Quotient)(Divisor) +Remainder.So, Quotient = (2 + x)
x2 + 3x2 - 6 = (x2 - x + 4)*(x2 + x... | 4 | [
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Posts about Inverse Relations and Functions on Algebra and Geometry Help
Findng Inverses of Formulas and Compositions of Inverse Functions
Posted on April 3, 2010 by Mr. Pi
Recent Comments
quadratic equation c… on Modeling Data With Quadratic…
Lemuel on Quadratic Functions and Their…
Arizona Bayfield on How To... | 4 | [
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Limits Help
November 18th 2012, 01:40 PM
NettieL
Limits Help
Hi there,
just pondering this equation: lim (3x^3(-6x^2)+5x+35)/((x^4)-5x^3-27) when x->∞
what is the best way to figure this out? I tried to divide everything by the highest factor I would find in the denominator, like my textbook said, but t... | 5 | [
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Title page for ETD etd-122099-153321
Adaptive filtering techniques are used in a wide range of applications, including echo cancellation, adaptive equalization, adaptive noise cancellation, and adaptive beamforming. The performance
of an adaptive filtering algorithm is evaluated based on its convergence rate, m... | 4 | [
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Arc elasticity of demand
From Conservapedia
The arc elasticity of demand is a way of accurately calculating elasticity and is also known as the midpoint method (for example in Greg Mankiw's introductory texbook).
Elasticity measures percentage change in one variable (usually quantity demanded) in response to a perce... | 4 | [
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Tests for convergences
SUM(arctan(a_n) converges if and only if SUM(a_n) converges. a_n in this case is a sequence of positive numbers.
[quote=Juancd08;337083]SUM(arctan(a_n) converges if and only if SUM(a_n) converges. preposition 1.Let arctan(a_n)=b_n => tan(b_n)=a_n 2.ıf any sequence is converges than its subsequen... | 4 | [
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Algorithms Algorithm
Algorithm Analysis
Math Review – 1.2
• Exponents
– XAXB = XA+B
– XA/XB=XA-B
– (XA)B = XAB
– XN+XN = 2XN ≠ X2N
– 2N+2N = 2N+1
• Logarithms
– XA=B iff logXB=A
– logAB =logCB/logCA; A,B,C > 0, A ... | 5 | [
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-0.... | 43,619 | 43619 | |
Please explain sine
April 20th 2014, 04:52 PM #1
Member
Joined
Aug 2012
From
Utah
Posts
88
Please explain sine
There is a formula:
Area of segment of circle = r^2 (pi*theta/360) - (sin theta/2), where theta is a measure of corresponding arc in degrees.
Could you please explain how they intro... | 4 | [
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Math Help
Prove that if $\mathbf{A}\mathbf{B}=\mathbf{B}\mathbf{A}$ then $(\mathbf{A}+\mathbf{B})^n=\binom n0\mathbf{A}^n+\binom n1\mathbf{A}^{n-1}\mathbf{B}+\dots + \binom n{n-1} \mathbf{A}\mathbf{B}^{n-1}+\
binom nn\mathbf{B}^n$.
Hi You can first prove by induction that $\mathbf{B}^k\mathbf{A}=\mathbf{A}\mathbf{B}^... | 5 | [
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0.005340576171875,
... | 43,621 | 43621 | |
trig substitutions for integrals
September 23rd 2008, 11:47 AM #1
Junior Member
Joined
Sep 2007
Posts
55
trig substitutions for integrals
i have a test coming up and i wanted to double-check my answers:
1. integral (b = 1, a = 0) x(sqrt (x^2 + 4)) dx
i got 1/8 - 1/4sqrt(5) + c
2. integral (... | 5 | [
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Method for automatic generation of optimal space frame
Patent application title: Method for automatic generation of optimal space frame
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstract:
Space f... | 4 | [
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Help: quadratic function whose graph is given
April 30th 2007, 10:33 PM #1
Newbie
Joined
Mar 2007
From
East Meadow, NY
Posts
23
Help: quadratic function whose graph is given
Determining the quadratic function whose graph is given.
Graphic is a parabola going upwards.
Vertex: -3,2
Y-Inter... | 4 | [
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A Sobolev-type inequality with weights
up vote 2 down vote favorite
2
In the study of a particular PDE I found myself wanting to prove the following inequality:
$( \int_0^{\infty} r^{-3} |f|^6 \; dr )^{1/6} \leq C ( \int_0^{\infty} [ r^{-1} |f|^2 + r |f'|^2 + r |f''|^2] \; dr )^{1/2}$
for some constant $C > 0$ and a... | 5 | [
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a matrix similarity problem.
up vote 2 down vote favorite
1
I'd like to know whether the following statement is true or not.
Let $T_1, T_2\in \mathbb{C}^{n\times n}$ be upper triangular matrices. If there exists a nonsingular matrix $P$ such that $T_1=PT_2P^{-1}$, then there is a nonsingular uppper triangular matrix ... | 5 | [
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... | 43,626 | 43626 | |
Quizzes
Old Quizzes
Return to SYLLABUS
Old First Quizzes
First Quiz, 1998
1 - What are the SI units of pressure? (Give the answer in units of length, mass and time.)
2 - Calculate the value of the gas constant R in
a) L... | 4 | [
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-0.02587890625,
-0.002716064453125,
-0.08544921875,
-0... | 43,627 | 43627 | |
Solving a system of equations using Cramer's rule.
May 13th 2010, 02:04 PM #1
Junior Member
Joined
Mar 2010
Posts
49
Solving a system of equations using Cramer's rule.
OK, I have this question here that says:
Using Cramer's rule, solve
2x-y=4
3x+y-z=10
y+z=3
I have no idea how to s... | 5 | [
-0.03564453125,
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0.072265625,
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0.053955078125,
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0.0263671875,
0.06005859375,
0.0225830078125,
-0.004608154296875,
0.048828125,
-0.03662109375,
-0.007568359375,
0.03... | 43,628 | 43628 | |
Connecting Fibonacci and geometric sequences
Here’s a quick demonstration of a connection between the Fibonacci sequence and geometric sequences.
The famous Fibonacci sequence starts out 1, 1, 2, 3, 5, 8, 13 … The first two terms are both 1, then each subsequent terms is the sum of the two preceding terms.
A general... | 4 | [
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0... | 43,629 | 43629 | |
in
1. How do I convert floating point values (say 2.05 bar) to an integer that my PLC can use? The PLC does not have floating point maths functions.
2. I have a requirement to interface my PLC to some other PLC/DCS that only wants to use floating point values via MODBUS. They dont want to convert them in their PL... | 4 | [
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0.... | 43,630 | 43630 | |
Polynomial, area of a polygon
October 12th 2011, 08:48 AM #1
Newbie
Joined
Sep 2011
Posts
12
Polynomial, area of a polygon
Hi!
Could you help me solve this problem?
Integers $(x,y)$ satisfying the equation
$xy^2 - y^3 - xy + x^2 + 5 =0$
are vertexes of a certain polygon. What is its ar... | 4 | [
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0.1162109375,
0.... | 43,631 | 43631 | |
Solving the Law of Tangents for an Angle
Date: 12/18/2004 at 01:19:38
From: Jeff
Subject: Law of Tangents
For (a - b)/(a + b) = tan (A/2 - B/2) / tan (A/2 + B/2), given
a = 3, b = 2, and A = 40, solve for B using only the Law of Tangents.
This question can easily be answered using the Law of Sines. But I
can not an... | 5 | [
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0.0654296875,
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... | 43,632 | 43632 | |
help:( with standard deviation
June 2nd 2007, 01:28 PM
brandy
help:( with standard deviation
A manufacture of metal washer turn out washer with a mean of 4.5 g and a standard deviation of 0.047g, what is the probability that a randomly selected washer wall have a mass lees than 4.58g?
June 2nd 2007, 05:42 PM
T... | 5 | [
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-0.04443... | 43,633 | 43633 | |
Projectiles
June 23rd 2010, 04:29 AM #1
Senior Member
Joined
Feb 2008
Posts
383
Projectiles
A particle of Q is projected from A at ground level. After 4 seconds the particle strikes the ground again at B where AB = 200m. Calculate the initial velocity of Q.
using A=theta
Equation 1
$2usinA-2... | 4 | [
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... | 43,634 | 43634 | |
Volume of a Pyramid
Date: 5/20/96 at 17:56:33
From: Anonymous
Subject: Geometry
Hi. I have a problem that I'm trying to solve.
The problem reads: All six edges of a triangular pyramid are 4 inches
long. Find the volume of the pyramid.
I can't figure out a way to find the altitude.
I tried the Pythagorean theorem ... | 4 | [
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0.123046875,
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0.021606445312... | 43,635 | 43635 | |
Differential equation in a distribution space
April 4th 2010, 11:22 AM #1
Newbie
Joined
Apr 2010
Posts
2
Hi everybody!
I need your help to solve the following exercise:
find the general solution of the equation
x^2*u'(x) = pv(1/x)
where u'(x) is the derivative of u with respect to x and ... | 5 | [
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0.0069580078125,
... | 43,636 | 43636 | |
Diophantine elements in SU(2)
up vote 7 down vote favorite
Following notions from [1], call a set of elements $g_1, \dots, g_k \in G = SU(2)$ Diophantine if it satisfies the following property: there exists a constant $D$ such that for every word $W_m$ of
length $m$ in $g_1, \dots, g_k$, if $W_m \neq \pm e$ (identity ... | 4 | [
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0.02465820... | 43,637 | 43637 | |
Why is arithmetic difficult, II
Posted by: Alexandre Borovik | May 26, 2008
Why is arithmetic difficult, II
I expand an earlier post with the same title.
My colleague EHK told me about a difficulty she experienced in her first encounter with arithmetic, aged 6. She could easily solve “put a number in the box” proble... | 5 | [
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0.0422363... | 43,638 | 43638 | |
Equivalence of 2 expressions involving radicals
June 8th 2013, 04:19 AM #1
Newbie
Joined
Aug 2012
From
Nairobi
Posts
8
Equivalence of 2 expressions involving radicals
Hi.
I need help in seeing how the following two expressions are equal.
$\frac{\sqrt{6} + \sqrt{2}}{4}$ and $\frac{\sqrt{2}\s... | 4 | [
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0.0274... | 43,639 | 43639 | |
Critical Thinking
August 20th 2007, 07:39 PM
wpcp15
Critical Thinking
This is so confunsing, can someone please help?
A line passes through A(3,7) and B(-4,9). Find the value of a if C(a,1) is on the line.
I thought it had something to do with finding the slope . . .
August 20th 2007, 07:44 PM
ThePer... | 4 | [
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0.1162109375,
-0.09716796875,
-0.0... | 43,640 | 43640 | |
Stereo
Stereo:
Epipolar geometry
Wednesday March 23
Kristen Grauman
UT-Austin
Announcements
• Reminder: Pset 3 due next Wed, March 30
Last time
• Image formation affected by geometry,
photometry, and optics.
• Projection equations exp... | 4 | [
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0.013122... | 43,641 | 43641 | |
Computing (on a computer) higher ramification groups and/or conductors of representations.
up vote 12 down vote favorite
9
I am supervising an undergraduate for a project in which he's going to talk about the relationship between Galois representations and modular forms. We decided we'd figure out a few examples of
we... | 5 | [
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-... | 43,642 | 43642 | |
Please check answer for percentage rate of change function
November 13th 2009, 01:26 AM #1
Junior Member
Joined
May 2008
Posts
45
Please check answer for percentage rate of change function
The question is to determine the percentage rate of change of the function at t=1 and t=5 for:
$f(t)=e^{0.3t^2}... | 4 | [
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0.0003185272216796875,
0.0172119140625,
0.01373291015625,
-0.002685546875,
-0.04736... | 43,643 | 43643 | |
Effective Temperature
What is Effective Temperature?
In planetary astronomy, this is the temperature a planet would have just taking into account its reflectivity and its distance from the sun (or another star, if we're talking about ... | 5 | [
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Generate Digital Chirp Signals With DDS
Understanding the inner workings of modern direct digital synthesizers helps their deployment for advanced waveform generation, including the control of linear FM or chirp signals.
Direct-digital synthesis (DDS) is a mature digital-signal-processing (DSP) technology that offers ... | 4 | [
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-0.0001010894775390... | 43,645 | 43645 | |
Linear Programming ISQA 511 Dr Mellie Pullman
ISQA 511
Dr. Mellie Pullman
EVALUATING CONSTRAINED RESOURCES
W/ LINEAR PROGRAMMING
Tinker Toys
We need to allocate scarce resources among
several alternatives
resources= ?
alternatives=?
Need to get int... | 5 | [
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0.022094... | 43,646 | 43646 | |
Isosceles triangle inscribed in a circle
January 7th 2010, 05:24 AM #1
Newbie
Joined
Jan 2010
Posts
2
Determine the dimensions of the isosceles triangle inscribed in a circle of radius "r" that will give the triangle a maximum area. express the dimensions in terms of the circle's radius r.
figure:
... | 5 | [
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1 Dummy Dependent Variable
1 Dummy Dependent Variable
Have considered how to deal with discrte variables in terms of dummy varaibles
-as explanatory variables. In some cases we may have a dummy dependent
variable> For example if we want to look at transport mode choice, wh... | 4 | [
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METHOD OF CONTROLLING TRANSMISSION POWER OF FEMTOCELLS FOR INTERFERENCE CONTROL
Patent application title: METHOD OF CONTROLLING TRANSMISSION POWER OF FEMTOCELLS FOR INTERFERENCE CONTROL
Sign up to receive free email alerts when patent applications with chosen keywords... | 4 | [
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-0.... | 43,649 | 43649 | |
Sum of odd numbers results in a square number
up vote 0 down vote favorite
Recently I discovered by myself that sum of N sequential odd numbers will result into N^2.
Can anyone explain this to me? I want to know why not a proof.
Some examples:
1 1^2 1
1+3 2^2 4
1+3+5 ... | 4 | [
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0.02734375,
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0.00147247314453125,
-0.06494... | 43,650 | 43650 | |
Surjectivity of the normal exponential map
up vote 4 down vote favorite
2
Given an isometric (in the Riemannian way) immersion $f:N\rightarrow M$ between complete, smooth riemannian manifolds, are there conditions on $M$, $N$, $f$, such that the normal exponential map $\
mathrm{exp}^{\nu}:\nu(N)\rightarrow M$ is surje... | 5 | [
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-0.007141113281... | 43,651 | 43651 | |
the groups of real numbers
the groups of real numbers
Proposition 1.
The additive group of real number $\langle\mathbb{R},+\rangle$ is isomorphic to the multiplicative group of positive real numbers $\langle\mathbb{R}^{+},\times\rangle$.
Proof.
Let $f(x)=e^{x}$. This maps the group $\langle\mathbb{R},+\rangle$ to ... | 5 | [
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0.02111816406... | 43,652 | 43652 | |
Volume 7,
Volume 7, Issue 11, November 1966
•
View Description Hide Description
The Proca‐type system of partial differential equations [−curl curl A + k A = τ grad φ; ▿^2φ − Kφ = τ div A, with k, K, and τ constants] is transformed into a new system such that the vector
potential A and the scalar pote... | 4 | [
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Jacobian Integration Problem
February 23rd 2010, 10:41 AM
llamagoogle
Jacobian Integration Problem
$\int \int e^(-r(x-2y)^2) dxdy$
x =2u+v
y=u-v
The Jacobian is -3
I've substituted for x and y in the integral to get $\int \int -3e^r(3v)^2 dudv$
where r is a positive constant
But my pr... | 5 | [
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-0.01324462890625,
... | 43,654 | 43654 | |
nth roots of unity
December 2nd 2007, 01:06 PM #1
Newbie
Joined
Sep 2007
Posts
17
nth roots of unity
Hello everybody,
I'm having some difficulties with some problems about complex numbers and I would appreciate it if you could help me. It's mainly about the nth roots of unity.
1. I know that th... | 5 | [
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0.01483154... | 43,655 | 43655 | |
THE FOURIER TRANSFORM AND THE MELLIN TRANSFORM For suitable
THE FOURIER TRANSFORM AND THE MELLIN TRANSFORM
For suitable functions
f : R −→ C
the Fourier transform of f is the integral
g : R −→ C, g(y) = ... | 4 | [
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-0.07373046875... | 43,656 | 43656 | |
8: Path Planning
Obstacle Avoidance and Navigation in the Real World by a Seeing Robot Rover, Hans Moravec, 1980
<-- Previous  Next -->
Chapter 8: Path Planning
The cart vision system has an extremely simple minded approach to the world. It models everything it sees as clusters of points. If enough such points a... | 4 | [
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-0.0771484375,
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-0.0011749267578125,
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0.04638671875... | 43,657 | 43657 | |
Are quotients of stacks flat?
up vote 2 down vote favorite
Let $\cal X$ be a DM stack of finite type over a field (if necessary, I will assume that $k=\mathbb{C}$ and $\cal X$ is a scheme, or even a variety) and $G$ be a finite group. Then we have a quotient
stack $[\mathcal{X}/G]$ and in fact we have a natural morphi... | 5 | [
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0.0198974609375,
0.06640625,
0.0244140625,
-0.0244140625,
0.0244140... | 43,658 | 43658 | |
Difference of Two Proportions in Statistics
Date: 08/15/2005 at 10:02:38
From: Roberta
Subject: Difference of two proportions
In stats class we are studying the binomial distribution and we
tackled the difference of two proportions. Why is it that we assume
np > 5 and n(1-p) > 5? Where does the 5 come from?
Date... | 4 | [
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0.046142578125,
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-0.0... | 43,659 | 43659 | |
Statistics, laymen, and shuffling cards
On Sunday, we usually spend hours by playing Canasta, a card game, in a broader family.
Most typically, there are 2 teams with 2 players each (the composition of the team may change during the tournament which consists of something like 25 games per afternoon).
Sometimes men ... | 4 | [
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Essay:Demystified gravitation
From Conservapedia
1. REDIRECT Gravitation demystified
This essay is an original work by W. Jim Jastrzebski.
JimJast 09:43, 22 August 2011 (EDT)
Demystifying gravitation
Introduction
I'm writing this essay to explain to people interested in gravitation how it works according to... | 4 | [
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... | 43,661 | 43661 | |
The Case for a Positive Lambda-Term - V. Sahni &
A. Starobinsky
8.4. Reconstructing the effective potential V(
In view of the large number of models capable of predicting a small cosmological constant at the present epoch, it is necessary to ask whether cosmological observations themselves may be used to
determine mod... | 4 | [
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Fast trace of inverse of a square matrix
up vote 6 down vote favorite
3
Which would be the most efficient way (in computational time) to compute tr(inv(H)), where H is a (dense) square matrix?
In my particular problem I also have a LU decomposition of H already available, which was used in a previous context to solve... | 5 | [
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... | 43,663 | 43663 | |
Periodic Function - Instantaneous rate of change
January 9th 2014, 02:26 PM #1
Periodic Function - Instantaneous rate of change
Find the IRoC at the point (90 degrees, 5) on f(x) = 5sin(x)
I started with the different quotient formula:
IRoC = ( f(x+h) - f(x) ) / h , h-->0
=( 5 sin (90 +h) - 5 ) /h
... | 5 | [
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-0.05322265625... | 43,664 | 43664 | |
Differentiating the root of a quotient
April 27th 2011, 01:15 PM #1
Newbie
Joined
Mar 2011
Posts
14
Differentiating the root of a quotient
How do you differentiate $\sqrt{\left ( \frac{1-x}{1+x}\right )}$with respect to x?
I've tried using $\frac{dy}{du}\times \frac{du}{dx}$ with $u=\left ( \frac{1-... | 5 | [
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0.0400390625,
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-0.0... | 43,665 | 43665 | |
Optimizing PLL Performance Levels
Designing a PLL synthesizer for modern mobile communications systems involves achieving the proper balance among a number of tradeoffs, including spurious levels and frequency switching speed.
Samir Kameche, Mohammed Feham, and Mohammed Kameche
Frequency synthesizers based on phase-l... | 4 | [
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0.... | 43,666 | 43666 | |
Problem with IB past paper, Triangle and sin
March 15th 2010, 05:37 AM #1
Newbie
Joined
Mar 2010
Posts
7
Problem with IB past paper, NOT SOLVED
Hello everyone, I do Math SL for the IB, and I don't fully understand the following question that I've attached as an image to this post. I would appreciate any ... | 4 | [
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-0.0181884765... | 43,667 | 43667 | |
More calculus questions
December 18th 2008, 03:04 PM #1
here's some more problem that I am on right this moment:
1. determine the derivative of F(x)=(cos(2x-4))^3 at x=pie/b
2. determine d/dx 3x^4-3x/3x^4+3x
3. compute
4. an open rectangular box with volume 6m^3 has a square base. Express the ... | 5 | [
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0.0000065565109... | 43,668 | 43668 | |
Please help! just one Simultaneous equations' problem'''
Hi below is the problem: 3x2 – 4x + 3y = 0 3y2- 4y + 3x = 0 thx u!
if i make 3x^2 - 4x + 3y = 0 ---- 1 3y^2 - 4y + 3x = 0 ---- 2 (1) - (2) hence i gt: 3x^2 - 3y^2 + 3y - 3 x + 4y - 4 x = 0 3( x - y ) ( x + y ) - 7( x - y ) = 0 how shd i continue from here thx...... | 4 | [
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Set of 4 simultaneous equations using modular
March 17th 2011, 04:17 PM #1
Member
Joined
Mar 2009
Posts
182
Thanks
1
Set of 4 simultaneous equations using modular
Hi all,
I have the following set of equations:
(13a + 4b)mod729 = 19
(13c + 4d)mod729 = 15
(4a + 3b)mod729 = 5
(4c +... | 5 | [
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0.0301... | 43,670 | 43670 | |
Determine Your True Field of View
Hack 57. Determine Your True Field of View
A drift test lets you figure out just how much of the sky you can keep in your sights.
Any combination of telescope and eyepiece has a specific true field of view (TFoV), which is determined solely by the focal length of the telescope and t... | 4 | [
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-0.0264892... | 43,671 | 43671 | |
SAMPLE SIZE
Very frequently asked question in statistical consulting is, how large should the sample size be to estimate a mean?
The answer will depend on the variation associated with the random variable under observation. The statistician could correctly respond, only one item is needed, provided that the standard d... | 5 | [
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... | 43,672 | 43672 | |
More Complex Integration Please Help
October 4th 2009, 07:39 PM
The Power
More Complex Integration Please Help
I'm working through problems on my book and I have one problem, It seems like for the more complex functions they just memorize the table, which to me is pointless if you do not know how to get
to t... | 5 | [
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0.0218505859... | 43,673 | 43673 | |
Consider the matrix D = [[3,0],[0,5]] and P = [[9,4],[-20,-9]]
Say A = [[-157,-72],[360,165]] is (P^-1)(D)(P)
then... - Homework Help - eNotes.com
Consider the matrix D = [[3,0],[0,5]] and P = [[9,4],[-20,-9]]
Say A = [[-157,-72],[360,165]] is (P^-1)(D)(P)
then A^n equals to?
`A=P^(-1)DP` given
`A^n=(P^(-1)DP)^n... | 5 | [
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0.021118164062... | 43,674 | 43674 | |
Simplifying Boolean Equations
July 16th 2010, 06:43 PM #1
Super Member
Joined
Dec 2008
Posts
509
Simplifying Boolean Equations
Hi
The following question i don't understand why it is incorrect.
1) (z+v'(w'+x(v+z'))'
z'v+w(v'z)+x
(wv'z+x)(w+vx)
(x+w)(x+v')(x+z)(w+r)(w+x)
(x+v'... | 5 | [
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0.0712890625,
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0.048828125,
-0... | 43,675 | 43675 | |
Factoring a large Diff of Squares
October 28th 2008, 12:23 PM
krystaline86
Factoring a large Diff of Squares
y = x^1000 - 1
I would like to factor out an x-1 from this but I don't remember which rules apply.
1) Do I apply something similar to a difference of squares and just keep going until I get (x-1... | 4 | [
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0.04541015625,
0.0400390625,
-0.02685546875,
0.060791015625,
-0.010803222656... | 43,676 | 43676 | |
Cohomology of finite quotients of Lie groups
up vote 6 down vote favorite
2
Let $G$ denote the $Spin(n)$ group with $n>4$ and let $\Gamma$ be a cyclic subgroup $G$ of a prime order $p >2$. When does the projection $G \to G/\Gamma$ induce a surjection between cohomology
groups $H^3$ with integral coefficients?
at.alg... | 5 | [
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-0.0305175781... | 43,677 | 43677 | |
Help understanding simplification of problem with radicals and exponents
April 18th 2012, 08:49 PM
Jkoziol
Help understanding simplification of problem with radicals and exponents
Hello,
Im working on trying to learn trigonometry but my lack of a comprehensive understanding of algebra and basic math is holdi... | 4 | [
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0.0048828125,
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0.08154296875,
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0.06884765... | 43,678 | 43678 | |
to pump water out of
February 15th, 2012, 06:32 #2
PM
Global Moderator Re: Work to pump water out of a tank
... | 5 | [
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0.051025390625,
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0.111328125,
-0.0673828125,
0.05517578125,
-0.083984375,
0.0050048828125... | 43,679 | 43679 | |
Fermat's last theorem
Fermat's Last Theorem is the name of the statement in number theory that:
It is impossible to separate any power higher than the second into two like powers,
or, more precisely:
If an integer n is greater than 2, then the equation a^n + b^n = c^n has no solutions in non-zero integers a... | 4 | [
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-0.0257568359375,
-0.0673828125,
0.0251464843... | 43,680 | 43680 | |
Intersection of surfaces
April 15th 2009, 05:55 PM
eddi
Intersection of surfaces
I want to find the equation of the intersection between a sphere and cylinder (in the first octant) but it's kind of weird.
Sphere: x^2 + y^2 +z^2 = 4
Cylinder: x^2 + y^2 - 2y = 0
If I just sub one of them into the oth... | 5 | [
-0.031982421875,
0.013916015625,
0.03369140625,
0.051513671875,
0.068359375,
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0.025390625,
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0.0791015625,
-0.025146484375,
-0.0035552978515625,
-0.0654296875,
-0.0339355... | 43,681 | 43681 | |
Waves
The Wave Equation
In deriving the motion of a string under tension we came up with an equation:
∂ 2 y ∂ x 2 = 1 v 2 ∂ 2 y ∂ t 2 ∂ 2 y ∂ x 2 = 1 v 2 ∂ 2 y ∂ t 2 which is known as the wave equation. We will show that this leads to waves below, but first, let us note the fact that solutions of
this equation can be... | 4 | [
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0.01904296875,
0.080078125,
-0.06298828125... | 43,682 | 43682 | |
algebra problem world problem
May 21st 2007, 01:57 AM
ncbabe
algebra problem world problem
The Emperor of Qin secretly counts his soldiers in an enigmatic manner. When he counts his soldiers in groups of three, two soldiers are left. When the emperor counts in groups of five, three
soldiers are left, and whe... | 4 | [
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-0.011291503906... | 43,683 | 43683 | |
logarithms/calculator/solving
November 18th 2007, 12:24 PM
crazydaizy78
logarithms/calculator/solving
Can't I solve these using my calculator?
If not, can you help me get started? I'm drawing a total blank. Thanks!! :eek:
4^x=1/256
and
10^log(3x)=4
November 18th 2007, 01:28 PM
topsquark
... | 4 | [
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0... | 43,684 | 43684 | |
Complex Integration
August 16th 2010, 07:33 AM #1
Newbie
Joined
Aug 2010
Posts
22
Complex Integration
I'm stuck on a question of complex integration; there doesn't seem to be any way to integrate the function, so I imagine there must be a 'trick' somewhere, but I can't work it out
Compute
$\oin... | 4 | [
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0.06982421875,
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-0.0250244140625,
0.02587890625,
0.00726318359... | 43,685 | 43685 | |
i can't figure out how the teacher got 7x..please help
December 6th 2009, 08:12 AM
Candy101
i can't figure out how the teacher got 7x..please help
ok so i got this question and i know how to slove it and everything but im lost as of where the teacher got this one number.. so here it is
(x+5)/(x-2) = 5/(x+2... | 4 | [
-0.06640625,
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0.037109375,
-0.04931640625,... | 43,686 | 43686 | |
Fractional indicies?
April 5th 2011, 12:00 PM #1
Junior Member
Joined
Nov 2008
Posts
39
Fractional indicies?
OK I'm a bit stumped. Can anyone explain in as clear and plane terms as possible why 9 to the power of 1/2 = 3? (or more exactly why 9 to the power of 1/2 is equivalent to the square root of 9,
... | 4 | [
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0.0625,
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0.03076171875,
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On closed totally disconnected subgroups of connected real Lie groups
up vote 5 down vote favorite
1
So the following statement seems to be obvious but I don't see how to prove it:
Q: How does one prove that a closed totally disconnected subgroup of a connected real Lie group is discrete?
Note that it is essential ... | 5 | [
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0.... | 43,688 | 43688 | |
Is there a known natural model of Peano Arithmetic where Goodstein's theorem fails?
up vote 12 down vote favorite
2
(I've previously asked this question on the sister site here, but got no responses).
Goodstein's Theorem is the statement that every Goodstein sequence eventually hits 0. It turns out that this theorem ... | 4 | [
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0.... | 43,689 | 43689 | |
3D Vectors
All 3D vectors can be represented by a directed line segment in 3D space R^3, which has a start point and an end point. This gives each vector a magnitude (the length of the line segment) and
direction (from the start point to the end point). They have a rigorous definition in terms of vector spaces, but th... | 4 | [
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0.0400390625,
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-0.0322265625... | 43,690 | 43690 | |
Counting Ones
June 15, 2012
Today’s exercise is a fun math problem:
Consider a function f that takes a positive integer n and returns the number of 1s in the decimal representation of all the integers from 0 to n, inclusive. For example, f(13) = 6, for the
numbers 1, 10, 11 (twice, for two 1s), 12 and 13. No... | 5 | [
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0.0322265625,
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-0.064453125,
-0.... | 43,691 | 43691 | |
Intersection of an uncountable number of sets.
up vote 3 down vote favorite
Let $\mathcal{I}$ be an uncountable set. Let $(\Omega, \mathcal{F},\mathbb{P})$ be a probability space, and $E_i, i\in \mathcal{I}$ be a measurable set such that $\mathbb{P}(E_i)=1$. What can we say
about $\mathbb{P}(\cap_{i\in \mathcal{I}} E_... | 4 | [
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0.007598876953125,
-0... | 43,692 | 43692 | |
Adelic description of moduli of $G$-bundles on a curve
up vote 7 down vote favorite
3
Let $X$ be a smooth, projective, geometrically connected curve over a field $k$ and $G$ an an affine algebraic group group over $k$ (we can put more hypotheses on $G$ if necessary). If $K$ denotes
the function field of $X$ and $\math... | 4 | [
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... | 43,693 | 43693 | |
Trig Problems
April 5th 2009, 12:46 PM #1
Newbie
Joined
Apr 2009
Posts
7
Trig Problems
I'm having some more difficulties with these two.
This one is I'm supposed to find the solutions in interval $[0,2pi)$
$cos(x)=sin(\frac{x}2)$
This is what I've done so far but I'm unsure how to continue:... | 4 | [
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0.00933837890625,
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equation using identites
April 4th 2011, 05:04 AM #1
equation using identites
solve the following equation for A, giving all the roots in the interval 0<A<360 (including 0 and 360, i don't know how to write the dash under the sign) correct to the nearest dp:
4((sinA)^2)cosA=(tanA)^2
ok i already know my ... | 4 | [
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0.0012664794921875,
-0.01... | 43,695 | 43695 | |
limit with integral
August 31st 2011, 01:41 PM #1
Newbie
Joined
Aug 2011
Posts
19
limit with integral
Find:
$\lim_{r \rightarrow 0^+} \frac{1}{r|\ln r|^{\alpha}} \int^{r}_{0} |\ln x|^{\alpha} e^{-x^2} dx$ for $\alpha \in (0;1)$.
My intuition says that would be 0 so I have tried to use squeeze the... | 4 | [
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0.02197265625,
0.078125,
-0.0198974609375,
0.048095703125,
-0.0172119140625,
-0.0269775390625... | 43,696 | 43696 | |
Confusing Question
Can somebody please explain to me what is meant by the following question: If $(8x-5)^5=Ax^5+Bx^4+Cx^3+Dx^2+Ex+F$, find $A+B+C+D+E+F$. Thanks.
Last edited by drguildo; January 30th 2009 at 03:55 PM.
$(8x-5)^5=(8x-5)(8x-5)(8x-5)(8x-5)(8x-5)$ Multiply the parantheseses and you should get the constant... | 4 | [
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0.006256... | 43,697 | 43697 | |
I need logic/math help.
I'm on my phone, can respond to problem later, but I think I instead what you want now. As for the assignment operator =, remember that it is one of the few operators that is right associative.
Permutation: Permutation - Wikipedia, the free encyclopedia They are like combinations, but in math c... | 5 | [
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Solving Systems of Equations by Substitution
Date: 08/24/98 at 19:14:21
From: Lynn
Subject: Solving Systems of Equations by Substitution
Hi. I am currently in the 10th grade at my school and I am having
problems using the substitution method. When they want you to
substitute the x value in place of it in the y probl... | 4 | [
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... | 43,699 | 43699 |