content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Evolutionarily stable strategies
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Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Biologic... | 5 | [
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... | 42,200 | 42200 | |
Is Dependent Choice equivalent to the statement that every PID is factorial?
up vote 14 down vote favorite
5
In this question, it was asked if AC is needed in the proof of the well-known fact that every principal ideal domain is factorial. As KConrad and Joel David Hamkins have pointed out, only DC, the
axiom of depen... | 5 | [
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Does a degeneration always have a larger-dimensional automorphism group?
up vote 13 down vote favorite
4
Suppose $\newcommand{\X}{\mathcal{X}}\X$ is an algebraic stack over a field $k$, $\xi$ is a $k$-point which has another $k$-point $x$ in its closure ($x$ is an isotrivial degeneration of $\xi$).
Must the di... | 5 | [
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Finding One Coin of 12 in 3 Steps
Date: 8/6/96 at 19:25:17
From: Josh Schwartz
Subject: Finding One Coin of 12 in 3 Steps
There is a pile of twelve coins, all of equal size. Eleven are of
equal weight. One is of a different weight. In three weighings find
the unequal coin and determine if it is heavier or lighter... | 5 | [
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0.00848388671875... | 42,203 | 42203 | |
For a morphism f from a regular scheme, should there exist an open subscheme U of the target such that fibre of f at each point of U is regular
up vote 5 down vote favorite
4
For a finite type morphism $f:X\to S$, $X$ is a regular scheme, should there always exist an open (dense) subscheme $U\subset S$ such that the f... | 5 | [
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tetrahedra
a few outstanding tetrahedra
The regular tetrahedron and the regular right-angled tetrahedron can easily be obtained from a cube.
a regular tetrahedron a regular tri-right-angled tetrahedron a diamond (compound Schläflis' birectangular tetrahedron
... | 4 | [
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-0... | 42,205 | 42205 | |
Solving for Interval [0, 2pi)
May 8th 2006, 01:06 PM
aussiekid90
Trig Product Formula Problem
My question states: cos(3x)+cos(x)=0
I got two answer pi/2 and pi/4 but there are supposed to be more, can you show me how to get all the answers?
Thanks alot
May 8th 2006, 01:12 PM
aussiekid90
Solving for In... | 4 | [
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... | 42,206 | 42206 | |
the derivative function
October 15th 2008, 07:27 AM #1
Member
Joined
Sep 2008
Posts
144
the derivative function
suppose f(x)= sqrt of 1+3x, x>or equal to 5
k(x^2-5), x<5
for what value of k is continuous? For what value of k is f differentiable?
not even sure where to start i think i am on d... | 4 | [
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calculate volatility
COURSE 7 COMMON CORE CASE STUDY
VALUATION OF EQUITY OPTIONS AND IMPLIED VOLATILITY
Material Given To Candidates Near The End Of The Session
REPORT ON OPTION OPTIONS
There is limited flexibility in the range of ... | 5 | [
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-0.06542968... | 42,208 | 42208 | |
When is a symplectic manifold equivalent to a cotangent bundle?
up vote 21 down vote favorite
11
Let $X$ be a differentiable manifold. Its cotangent bundle $T^*X$ carries a canonical 1-form $ \alpha$ whose exterior differential $\omega = d\alpha$ endows $T^*X$ with the structure of a symplectic
manifold.
But what abo... | 4 | [
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Generate the LDPC Parity Check Matrix
GENERATING THE PARITY CHECK MATRIX
Low Density Parity Check codes can be specified by a Non-Systematic Sparse Parity-Check Matrix, H, having a uniform column weight, (³3)and a uniform row weight. H is constructed at random subject to
these constraints. An (n,j,k) LDPC code is spec... | 4 | [
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hyperbolics
In the complex plane, we define $\cos z=\frac{e^{iz}+e^{-iz}}{2}$. Letting $z=ix$, we have $\cos ix=\frac{e^{i(ix)}+e^{-i(ix)}}{2}=\frac{e^{i^2x}+e^{-i^2x}}{2}=\frac{e^{-x}+e^{-(-x)}}{2}=\frac{e^x+e^
{-x}}{2}=\cosh x$ Thus, when evaluating $\cos ix$ at an angle $x$, its the same as evaluating $\cosh x$.
An... | 4 | [
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Upper bound on largest eigenvalue of a real symmetric n*n matrix with all main diagonal >0, everywhere else <=0
up vote 4 down vote favorite
2
Is there a good analytic upper bound on the largest eigenvalue of a real symmetric n*n matrix with all main diagonal entries strictly positive, all other entries <=0 with typic... | 5 | [
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Well-ordering with a topological property
up vote 5 down vote favorite
Assuming the axiom of choice, is there a well-ordering of the reals such that every initial segment is closed for the usual topology? If the continuum hypothesis helps, we can also assume it.
An initial segment is a set of the form $\{x : x<y\}$ f... | 5 | [
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Is $R(su_{4})\cong R(so_{6})$?
up vote 2 down vote favorite
This is one of small the unsettled questions I had in my senior project. I want to prove for type $D$ we have $R(T)$ is a free module over $R(G)$ by finding a basis. I think we should have,$R(G)\cong
R(g)$, $R(T)\cong R(h_{g})$, but since $SO_{6}$ is not simp... | 4 | [
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Speeding Up the Douglas-Peucker Line-Simpli cation Algorithm
John Hershberger Jack Snoeyink
DEC Systems Research Center Department of Computer Science
130 Lytton Ave ... | 4 | [
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Similar Matrices II
March 10th 2009, 06:29 PM #1
Member
Joined
Oct 2008
Posts
91
Similar Matrices II
Find the eigenvalues of the following pair of matrices, and use them to decide wich of the pairs are similar:
(ii) $A= \begin{pmatrix} 1 & 0 & 0 \\ 4 & -3 & -2 \\ -4 & 1 & 0 \end{pmatrix}$ and $B= \b... | 4 | [
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NO2 decomposes into NO and O2.
June 13th 2011, 02:41 PM #1
NO2 decomposes into NO and O2.
1. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentration of NO2 (in moles per liter), then at 600ºK, y(t) changes according to the reaction law dy/
dt = −.05y2 for time t in... | 4 | [
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Triple Integral
March 26th 2010, 11:52 AM #1
Member
Joined
Sep 2008
Posts
117
Triple Integral
Find the volume of the region.
The region between the cylinder z=y^2 and the xy-plane that is bounded by the planes x=0,x=1,y=-1,y=1
When I graph this it looks like a halfpipe(skateboarding) extending ... | 5 | [
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Fast Normalized Cross-Correlation
J. P. Lewis^1
Industri... | 4 | [
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Math Forum Discussions
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Topic: integral for fun
Replies: 25 Last Post: Mar 6, 201... | 5 | [
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Trigonometric Equation
I need to solve $4\sin\theta + 5\cos\theta =6$
$4(1-\cos^2\theta)+5\cos\theta -6=0$
$-4\cos^2\theta +5\cos\theta -2=0$
$\cos\theta = \frac{-5\pm \sqrt{25-4(-2)(-4)}}{8}$
This gives me complex roots. In my book they solve the equation as follows:
$4\sin\theta=6-5\cos\t... | 4 | [
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Power Factor Calculation by The Finite Element Method Cedrat
SIMULATION SOLUTIONS
Power Factor Calculation by The Finite Element Method.
Francis Bidaud, R&D Electrical Motors, TECUMSEH Europe, France.
A nalytical methodology remains the most... | 5 | [
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0.03955... | 42,222 | 42222 | |
Calculate Number of path between two nodes
up vote 0 down vote favorite
Kingdom Connectivity
It has been a prosperous year for King Charles and he is rapidly expanding his kingdom.A beautiful new kingdom has been recently constructed and in this kingdom there are many cities connected by a
number of one-way roads.Two... | 5 | [
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Find basis for A
April 29th 2009, 08:17 PM #1
Banned
Joined
Jan 2009
Posts
58
Find basis for A
For matrix $A=\begin{pmatrix}1&-1&4&-6&8&14\\-1&1&-3&5&-6&-10\\2&-2&6&-10&12&21\\-1&1&-2&4&-4&-8\\0&0&-1&1&-2&1\end{pmatrix}$
I found $rref(A)=\begin{pmatrix}1&-1&0&-2&0&0\\0&0&1&-1&2&0\\0&0&0&0&0&1\\0&0&0... | 4 | [
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-0.10595703125,
-0.03295898... | 42,224 | 42224 | |
Kinematics
May 17th 2011, 12:22 AM #1
Junior Member
Joined
Nov 2010
Posts
50
Kinematics
Stuck on some problems again
- A car starts from rest and moves in a straight line. After t seconds, its acceleration, a m s^-2 is given by a=(0.2)(18-t). Find the distance travelled in the first 30 s given that ... | 4 | [
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0.0498046875,
0.04541015... | 42,225 | 42225 | |
How To Find The Slope Of A Curve...?
October 15th 2008, 08:25 PM #1
Member
Joined
Apr 2008
Posts
123
How To Find The Slope Of A Curve...?
I understand that it's delta y / delta x. I'm a bit confused about these two questions.
Get m at x = 1
#1 y = x^2+3x
My work:
((x^2+3x+h) - x^2 - 3x... | 4 | [
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0.0947265625,
-0.0119628... | 42,226 | 42226 | |
Math Forum Discussions
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Discussions
Internet Newsletter
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: six strong pseudoprimes, one degree 4096 polynomia... | 4 | [
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0.0198974609375,
0.0267333984375,
-0.0185546875,
0.048095703125,
-0.04443359375,
-0.008422... | 42,227 | 42227 | |
Newton Raphson Method
Hello everybody... The following is a sample program to understand finding solution of a non linear equation using Newton Raphson Method. This program is not a generalised one. But you can understand
the basic idea of the method and how to implement it using MATLAB. For more information about this... | 4 | [
-0.038330078125,
-0.033935546875,
-0.0150146484375,
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0.10546875,
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0.03515625,
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-0.1083984375,
-0.0... | 42,228 | 42228 | |
rearrange tough equation
April 30th 2013, 04:18 AM
dave2014
rearrange tough equation
Hi, I am trying to rearrange the following equation to isolate V, but am having trouble working out the right strategy. Could someone help me by pointing me in the right direction? I have read
about the Lambert W function an... | 4 | [
-0.107421875,
0.076171875,
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0.08935546875,
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0.0869140625,
0.00390625,
0.037353515625,
-0.0673828125,
0.034912109375... | 42,229 | 42229 | |
Math Help
February 12th 2009, 02:00 AM #1
Newbie
Joined
Aug 2008
Posts
21
Distance
dtermine the distance between:
$\<br /> \begin{array}{l}<br /> d_1 :\left\{ \begin{array}{l}<br /> x - y = 0 \\ <br /> 2x - z - 1 = 0 \\ <br /> \end{array} \right. \\ <br /> d_2 :\left\{ \begin{array}{l}<br /> 3x + y ... | 5 | [
-0.12109375,
0.01446533203125,
-0.0849609375,
-0.07177734375,
-0.0040283203125,
-0.0030517578125,
0.010986328125,
0.03662109375,
-0.046630859375,
-0.053955078125,
0.0634765625,
-0.047607421875,
0.056640625,
-0.006744384765625,
-0.08447265625,
0.047119140625,
-0.034912109375,
-0.010... | 42,230 | 42230 | |
Quantifiers and the general solution of the recurrence relation
May 23rd 2012, 08:14 PM #1
Newbie
Joined
May 2012
From
LA
Posts
7
Quantifiers and the general solution of the recurrence relation
Please help me with these 2 problems
1)
a) Express the statement "Every negative number has anothe... | 5 | [
-0.08203125,
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0.059326171875,
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0.034912109375,
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0.031005859375,
0.08349609375,
0.017333984375,
0.0240478515625,
0.007080078125,
-0.1049... | 42,231 | 42231 | |
Two-way Repeated-Measures ANOVA
Research Methods II: Spring Term 2001
Using SPSS: Two-way Mixed-design ANOVA
Suppose we have performed an experiment investigating sex differences in the effects of caffeine on memory. We have two independent variables. On one of these, caffeine consumption, we have repeated
measures (... | 4 | [
0.010498046875,
-0.033447265625,
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0.109375,
0.0098876953125,
0.061279296875,
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0.02880859375,
0... | 42,232 | 42232 | |
Rate of Change: Depth of Water in a Tank
February 16th 2010, 05:36 PM
-DQ-
Rate of Change: Depth of Water in a Tank
The base of a pyramid-shaped tank is a square with sides
of length 12 feet, and the vertex of the pyramid is 10 feet
above the base. The tank is filled to a depth of 4 feet, and
water i... | 5 | [
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... | 42,233 | 42233 | |
The height of an orbit under rational self-maps
up vote 10 down vote favorite
3
I have this basic question on which, strangely enough, the algebraic dynamics literature appears to be silent. But the question does not appear to be totally trivial or uninteresting to me - am I
wrong?
Question. Let $\varphi : \mathbb{A}... | 4 | [
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0.048095703125,
-0.025390625,
-0.0233154... | 42,234 | 42234 | |
Limit: Describing Behavior
October 4th 2007, 10:20 PM #1
Member
Joined
Oct 2007
Posts
178
Limit: Describing Behavior
This was just on the calculus board, but that was 4 hours ago with 3 views. Now, its urgent.
Hallo to everyone!
Describe the behavior of f(x) to the left and right of each vertic... | 4 | [
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0.043212890625,
-0.011962890625,
-0.117187... | 42,235 | 42235 | |
How do I solve second order linear differential equations with functions of x as coef
October 19th 2011, 08:24 AM
s3a
How do I solve second order linear differential equations with functions of x as coef
The title should have been: "How do I solve second order linear differential equations with functions of x as... | 4 | [
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0.01... | 42,236 | 42236 | |
need factors part of trig eqation
November 14th 2006, 12:59 PM
sinewave85
need factors part of trig eqation
Ok, working on a trig equation, have part of it down to:
$-4\cos^{2}x+2\sqrt{1-\cos^{2}x}+3=0$
I need the left side factored (so I can use the zero rule to find values for x) but I can't seem to ... | 4 | [
-0.00762939453125,
0.036865234375,
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0.061767578125,
0.046875,
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0.0380859375,
0.003936767578125,
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0.01104736328125,
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0.0361328125,
-0.0... | 42,237 | 42237 | |
Classical test theory
Talk0
34,135pages on
this wiki
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Social Processes: M... | 4 | [
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0.0361328125... | 42,238 | 42238 | |
Parameter Estimation and Inverse Problems
By
• Richard C. Aster
• Brian Borchers
• Clifford H. Thurber
Parameter Estimation and Inverse Problems, 2e provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of
observations contain... | 5 | [
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-0.01196289... | 42,239 | 42239 | |
Bisection method
Use the bisection method to find the root of: x = e^-x
Read "The Method" from here. Bisection method - Wikipedia, the free encyclopedia Choose $a=-1$ and $b=1$ as endpoints for the first iteration Now find c the midpoint that bisects the interal. $c = \
frac{b+a}{2} = \frac{1-1}{2} = 0$ find $f(a), f(... | 5 | [
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-0.074... | 42,240 | 42240 | |
Trig Substitution
September 2nd 2010, 09:00 AM #1
Junior Member
Joined
Jul 2009
Posts
59
Trig Substitution
Where is my error in this problem?
$\int\sqrt{1-4x^2}\,dx$
$x=\frac{1}{2}\sin{t}$
$dx=\frac{1}{2}\cos{5}$
$\sqrt{1-4x^2}=\sqrt{1-\sin^2{t}}=\sqrt{\cos^2{t}}=|cos t|=cos t$
$\... | 5 | [
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0.013916015625,
-... | 42,241 | 42241 | |
Badly need help with Line Integrals
May 11th 2012, 11:17 PM
linalg123
Badly need help with Line Integrals
Calculate the line integral
$\int$[c ]F dr
where c is given by r(t) = < t, t^2, t^3> , 0<= t <= 1
and F(x,y,z) = (sin(y) - y^2sin(x) , xcosy + 2ycosx , 1)
really not sure how to get starte... | 5 | [
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0.0166015625,
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0.004547119140625,
-0.03369140625,
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-0.07373046875,
-0... | 42,242 | 42242 | |
If $V$ is a vector space with a basis. $W\subseteq V$ has to have a basis too?
up vote 22 down vote favorite
5
Suppose $V$ is a vector space, we say that $\mathcal B$ is a basis for $V$ if:
1. Every $v\in V$ can be written as a linear combination of elements of $\mathcal B$;
2. If $\sum\alpha_i b_i = 0$, where $\al... | 5 | [
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-0.041259765625,
-0.014587... | 42,243 | 42243 | |
Is a countable union/intersection of sigma-algebra also a sigma-algebra?
February 4th 2011, 07:31 AM #1
Is a countable union/intersection of sigma-algebra also a sigma-algebra?
Suppose that I have a set $\Omega$ over which I define a collection of $\sigma$-algebra: $\{\beta_i\}$; that is, each $\beta_1,\beta_2,..... | 4 | [
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-0.01062... | 42,244 | 42244 | |
urgent physics help,
May 29th 2008, 08:43 AM
ice_syncer
urgent physics help,
A person finds that the object’s image placed at his normal
near point converges at a distance of 0.5cm behind his retina.Prescribe him a corrective lens of suitable power
May 29th 2008, 09:14 AM
topsquark
Quote:
Did so... | 4 | [
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-0.0277099609... | 42,245 | 42245 | |
Problem in Coordinate geometry
January 5th 2008, 06:47 PM
geton
Problem in Coordinate geometry
I’ve two question please help me to solve.
1. The line y = 0 is a tangent to the circle (x - 8)^2 + (y - a)^2 = 16. Find the value of a.
2. The circle, center (p, q) radius 25, meets the x-axis at (-7, 0) and... | 4 | [
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... | 42,246 | 42246 | |
Fair Russian Roulette
Q: How can you play Russian Roulette with each person having a 50/50 chance of losing? Assume you only have one bullet and you may not take the bullet out of the gun. The gun has six chambers. Also
assume that the players spin the cylinder before each turn. The problem is to find a sequence of tur... | 5 | [
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-0.047363281... | 42,247 | 42247 | |
When a sequence of coefficients converges to the coefficients of a rational function $R$, when does the sequence $R_n$ converge uniformly to $R$?
up vote 3 down vote favorite
Let $R$ be a rational function of degree $d$ mapping the Riemann sphere to itself:$$R(z) = \frac{a_d z^d + a_{d-1} z^{d-1} + \cdots + a_0}{b_d z... | 4 | [
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0.05517578125,
0.0143432... | 42,248 | 42248 | |
Arithmetic Operations on Binary Numbers
Because of its widespread use, we will concentrate on addition and subtraction for Two's Complement representation.
The nice feature with Two's Complement is that addition and subtraction of Two's c... | 4 | [
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-0.024658203125,
0.030... | 42,249 | 42249 | |
System non-linear ODE's
January 23rd 2010, 02:20 PM #1
Newbie
Joined
Jan 2010
Posts
5
System non-linear ODE's
Hi all,
I have a dynamical system of two non-linear autonomous ODE's.
The general form is
q'[t] = F_1(q,z)
z'[t] = F_2(q,z)
Actually, I'm interested in the function q[t], gi... | 5 | [
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-0.0252685546875,
-0.0... | 42,250 | 42250 | |
Probability question.
October 14th 2010, 07:24 AM #1
Junior Member
Joined
Sep 2009
Posts
33
Probability question.
Hi could any one help me with the following question please.
A poll is carried out in the run up to a general election which give the following results:
Age Group---Conservatives---... | 4 | [
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Multiplicity of solutions due to combined mixed convection and
radiation in a channel discreetly heated from below
A. BAHLAOUI*, A. RAJI* and M. HASNAOUI**
Department of Physics
* Facult... | 4 | [
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0.030273... | 42,252 | 42252 | |
While stringing holiday lights on his home, James pulls the 4.0m string of lights up the side of his home so that the... - Homework Help - eNotes.com
While stringing holiday lights on his home, James pulls the 4.0m string of lights up the side of his home so that the wire is lying perpendicular to EArth's magnetic fiel... | 4 | [
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... | 42,253 | 42253 | |
Calculating Cosine Values Graphically and Algebraically
Date: 05/01/98 at 14:31:10
From: Vern Lindsey
Subject: Trigonometry
I'm trying to upgrade myself and I need more math. Just looking for
help any where I can find it. I took college algebra, and I now need
trig. I am self teaching before I take the class.
I'm s... | 4 | [
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-0.033935546875,
-0.0110473... | 42,254 | 42254 | |
integration problem
August 30th 2009, 08:56 PM
BiGpO6790
integration problem
The position function x(t) of a particle moving along an x axis is x = 4.00 - 7.00t2, with x in meters and t in seconds. (a) At what time and (b) where does the particle (momentarily) stop? At
what (c) negative time and (d) positive... | 4 | [
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-0.034423828125... | 42,255 | 42255 | |
Vanishing of $Ext^i_R(N, R)$
up vote 10 down vote favorite
This question is related to Are the supports of $Ext^i(M,N)$ eventually periodic? .
Let $(R, \mathfrak{m}, k)$ be a Noetherian local ring of dimension $d$. It well known that
Theorem $R$ is Gorenstein iff $Ext^i_R(k, R) = 0$ for some $i > d$, and iff $Ext^i_... | 5 | [
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0.08251953125,
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0.0625,
0.016357421875,
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0.047... | 42,256 | 42256 | |
Finding the answer to a Limit
September 27th 2012, 04:13 PM
Chaim
Finding the answer to a Limit
Find lim->0 (2+5/x^2)
This is what I did first.
I first plugged in 0 to find if it's true.
2+5/0
Of course it's undefined since you can't divide by 0
So I was confused... How do you do this then?
... | 4 | [
-0.055419921875,
0.046142578125,
0.01434326171875,
0.11962890625,
0.09033203125,
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0.016845703125,
0.068359375,
-0.0174560546875,
0.091796875,
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-0.03857421875,
0.10888671875,
-0.078125,
0.021484375,
-0.039306640625,
-0.03002929687... | 42,257 | 42257 | |
minimum distance between two arbitrary circles in space
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
as per the title, i am working out the problem with maxima, but i am surprised by how complicated this rapidly turns... | 4 | [
-0.01483154296875,
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0.027587890625,
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0.0244140625,
0.012939453125,
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-0.01300048828125,
-0.004272460937... | 42,258 | 42258 | |
Normal subgroup question
December 14th 2009, 12:24 PM #1
Junior Member
Joined
Dec 2009
Posts
30
Normal subgroup question
Hi, everyone! This is my first post on the forums.
There is a practice problem I've found that states:
"Given N1, a normal subgroup of G1, and N2, a normal subgroup of G2, sh... | 4 | [
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0.02685546875,
0.0310058... | 42,259 | 42259 | |
Proof by Induction
January 28th 2010, 05:27 PM #1
Newbie
Joined
Sep 2009
Posts
12
Proof by Induction
I apologize if this has been posted before. I have done many searches, but most ended up proving the Binomial Theorem. Anyhow, here goes:
Prove $1^3 + 2^3 + 3^3 + ... + n^3 = (1 + 2 + 3 + ... + n)^2$... | 5 | [
-0.0159912109375,
0.03759765625,
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0.0317... | 42,260 | 42260 | |
Cannot Differentiate ydx?
February 21st 2011, 02:26 PM #1
Member
Joined
Feb 2009
Posts
118
Cannot Differentiate ydx?
Hi,
In class today, we worked out the following question. However, I don't understand why the teacher said we can't differentiate ydx because it will be equal to zero, as well as wher... | 5 | [
-0.0115966796875,
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0.0057373046875,
0.018310546875,
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0.0888671875,
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-0.0269775390625,
0.1015625,
-0.032470703125,
0.027587890625,
-0.058837890625,
0.... | 42,261 | 42261 | |
Problem 17
January 29th 2007, 07:20 AM
ThePerfectHacker
Problem 17
1)Take any three digit number with different digits. Reverse the order of the digits. And find the difference between these two numbers. Consider this result as a three digit number, if you get
three digits good, if not pretend there are zero... | 5 | [
-0.027587890625,
-0.01080322265625,
-0.004425048828125,
-0.04248046875,
-0.06884765625,
0.103515625,
0.0242919921875,
0.037109375,
-0.0625,
0.04052734375,
-0.0281982421875,
0.031005859375,
0.0673828125,
-0.00799560546875,
-0.047607421875,
-0.0135498046875,
-0.000904083251953125,
0.... | 42,262 | 42262 | |
Check this proof.
February 4th 2006, 02:56 PM
ThePerfectHacker
Check this proof.
The author from my book wrote a nasty proof of existence of algebraic
closure for any field. It is nasty because for some reason in the first
paragraph he speaks about something which seems to be unnecessary.
I redone hi... | 5 | [
-0.01416015625,
0.06396484375,
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0.015869140625,
0.0673828125,
0.0673828125,
0.0859375,
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-0.048828125,
-0.05029296875,
-0.004302978515625,
0.01080322265625,
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-0.046142578125,
-0.0303955078125,
0.0810546875,
-0.055908203125,
-0.0045166015... | 42,263 | 42263 | |
Factoring and Divisibility Rules
Date: 12/18/97 at 19:41:10
From: Kate
Subject: Factoring
I have no idea how to factor these problems:
12*13-60+12(squared)
11(squared)-6*11+5*11
I'm not sure where to start.
Date: 01/10/98 at 10:52:02
From: Doctor Marko
Subject: Re: Factoring
Kate,
The word factoring is used i... | 4 | [
-0.05419921875,
0.068359375,
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0.0673828125,
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0.040771484375,
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0.08056... | 42,264 | 42264 | |
Formula For the Sum Of the First N Squares
Date: 02/20/98 at 10:35:55
From: Andres Sandin
Subject: Formula for the sum of the first N squares
Can you show me how (1^2 + 2^2 + 3^2 + ... + N^2) becomes
(N * (N + 1) * (2N + 1)) / 6
Thanks.
Date: 02/20/98 at 11:55:45
From: Doctor Sam
Subject: Re: Formula for the sum ... | 5 | [
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-0.02734375,
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not-so-simple equation to solve
November 28th 2008, 05:39 AM #1
Newbie
Joined
Nov 2008
Posts
22
not-so-simple equation to solve
Dear all,
I have a tricky problem; I need to solve this equation for $N$
$\binom {L} {L-R}\sum_{r=1}^{R}\binom {R} {r} (-1)^{R-r}\left(\frac{r}{L}\right)^N\ln\frac{r}{L... | 5 | [
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-0.04418945312... | 42,266 | 42266 | |
Slope by limit process
May 29th 2009, 08:01 PM
AMaccy
Slope by limit process
Greetings,
I need to use the limit definition of :
$m= \lim_{\Delta x\rightarrow 0} f(x) = (x+\Delta x)- f(x) / \Delta x$
( / means all divided by $\Delta x$)
I have to use the limit definition to find the slope of t... | 4 | [
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0.0439453125,
0.103515625,
0.02978515625,
-0.0009765625... | 42,267 | 42267 | |
Math Forum Discussions - Algebra 1 the vos Savant way
Date: Jul 19, 2004 8:08 PM
Author: Domenico Rosa
Subject: Algebra 1 the vos Savant way
Marilyn vos Savant has written another convoluted
solution to the following problem (PARADE magazine, 18
July 2004, Page 6). This provides another example of
the importance of id... | 4 | [
-0.09375,
0.0244140625,
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-0.0225830078125,
-0.014404296875,
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0.017578125,
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0.061767578125,
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0.00011968612670898438,
-0.0143432617... | 42,268 | 42268 | |
What is the Circumference of the Reservoir?
Date: 04/09/2003 at 12:25:11
From: Lisa
Subject: Finding the circumference of a circle
Dear Dr. Math,
I saw this problem in a forum on the Internet; we know what the answer
(supposedly) is (it was posted as 480 yards), but so far no one has
explained how they arrived at th... | 4 | [
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0.09814453125,
0.08837890625,
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0.0299072265625,
-0.0463867187... | 42,269 | 42269 | |
Introduction to analytic geometry?
May 3rd 2011, 02:15 PM #1
Senior Member
Joined
Dec 2010
From
CPT
Posts
302
Introduction to analytic geometry?
Can anyone assist me in these 2 questions
1. Find all values of a so that the distance between points (A,-9) and (-2A,7) is 20 units. I did this
S... | 4 | [
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0.01708984375,
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0.091796875,
-0.031494140625,
-0.00191497802734375,
-0.07861328125,
-0.0... | 42,270 | 42270 | |
Fibonacci Number Proof
June 7th 2011, 06:44 AM #1
Junior Member
Joined
Jun 2010
Posts
59
Fibonacci Number Proof
Prove that
$f_{2n+1} = f_{n+1}^2 + f_n^2$
for all positive integers.
I assume the solution involves induction, but I'm having trouble with this... Any pointers would be greatly a... | 5 | [
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-0.02... | 42,271 | 42271 | |
The collection of continuous point of a real-valued function
November 18th 2009, 04:00 AM #1
The collection of continuous point of a real-valued function
Let f be a real-valued function defined for all real numbers, C be the set of points at which f is continuous, Show that C is a $G_\delta$ set.
Any help is ... | 5 | [
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0.039306640625,
-0.0986... | 42,272 | 42272 | |
MathNotations
No matter where you introduce a lesson on geometric sequences, we can always begin with definitions, rules and formulas.
The alternative is to build on student intuition and natural curiosity by asking them to write their own observations and questions they would like to have answered.
Imaginary Scenari... | 5 | [
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0.0517578125,
0.0027008056640625,
0.0... | 42,273 | 42273 | |
Homework Help
Posted by Kate on Saturday, July 24, 2010 at 3:48pm.
y = (x^2 -4)/(x^2 - x -12)
dy/dx of numerator I got 2x
dy/dx of denomenator I got 2x - 1
dy/dx of y I got (x^2 - 16x -4)/((x-4)^2(x+3)^2)
setting numerator to zero and solving got 8 +/- sqrt(65) with the critical value being the +
setting denomena... | 4 | [
0.0030059814453125,
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0.0244140625,
0.0225830078125,
... | 42,274 | 42274 | |
sequence problem
May 5th 2009, 02:25 AM #1
Newbie
Joined
Apr 2009
Posts
13
sequence problem
1+(K+1)(14)+12(1+2+3+....(K-1)+K)=X
Solve for K?
Is this solvable? as I said before haven't done maths for years and this is making my head spin. If any one could help that would be great!
Hello, N... | 4 | [
-0.09423828125,
0.043212890625,
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0.00022125244140625,
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0.022216796875,
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-0.09228515625,
-0.0166015625,
-0.0390625,... | 42,275 | 42275 | |
Set Inclusion
December 9th 2006, 11:31 AM #1
Newbie
Joined
Nov 2006
Posts
9
Set Inclusion
Hi
The two sets $V_{1}, V_{2}$ are subsets of the Euclidian space $\mathbb{R}^n$.
I need to show that
(1) $V_{1} \cup V_{2}$ is open.
(2) $V_{1} \cap V_{2}$ is open.
Definion:
I know ac... | 4 | [
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0.052734375,
-0.1... | 42,276 | 42276 | |
Help with Optimization Problem found in research paper
August 9th 2011, 11:56 AM #1
Newbie
Joined
Aug 2011
Posts
3
Help with Optimization Problem found in research paper
Hi all,
I'm an accounting student who has taken one university math course (required) so my math skills are not that high. However... | 5 | [
-0.05224609375,
0.028076171875,
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0.03759765625,
-0.00799560546875,
-0.050048828125,
0.042724609375,
-0.07568359375,
... | 42,277 | 42277 | |
The Computational Universe
The amount of information you could process if you were to use all the energy and matter of the universe is 10^90 bits and the number of elementary operations that it can have performed since the Big
Bang is about 10^120 ops. Perhaps the universe is itself a computer and what it’s doing is p... | 4 | [
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0.07421875,
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-0.0341796875,
-0.01708984375,
-0.01397705078125,
-0.020263671875,
-... | 42,278 | 42278 | |
comparing diffusions
up vote 5 down vote favorite
7
Consider a probability distribution $\pi$ on the real axis that has a density (w.r.t Lebesgue) proportional to $e^{-V(x)}$, where $V(\cdot)$ is a potential function. For any reasonable volatility
function $\sigma:\mathbb{R} \to (0:+\infty)$ the diffusion $$ dX^{\sigm... | 4 | [
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0.0255126953125,
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0.0159912109375,
0.078125,
-0.034423828125,
0.050048828125,
0.042236328125,
-... | 42,279 | 42279 | |
Some Important and Weighty Stuff in Statistics
(note: to create maximal puzzlement I have cross-posted this at my other blog)
Right, now let's talk about methods for stochastic numerical integration, in particular calculating importance weights. This is a technique that is probably underused, largely because...
Why ... | 5 | [
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-0.037841796875,
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0.0625,
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0.057373046875,
0.00396728515625,
-0.052978515625,
0.055908203125,
0.130859375,
... | 42,280 | 42280 | |
A (Hard?) combinatorial optimization problem involving the representation numbers
up vote 2 down vote favorite
1
Given a (suppose prime order) group G, for any two partions $\{A_i\}_{i\in I}$ and $\{B_j\}_{j\in J}$ of the group $G$ consider the following quantity $$ E = \sum\limits_{i \in I,j \in J} \max_{g} r_
{A_i,B... | 5 | [
-0.0026092529296875,
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0.0810546875,
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0.08349609375,
0.1025390625,
... | 42,281 | 42281 | |
Check for Bearing Capacity of the retaining wall
The vertical pressures transmitted to the soil by the base slab of the retaining wall should be checked against the ultimate bearing capacity of the soil.The nature of variation of the vertical
pressure transmitted by the base slab into the soil is shown in fig.8.9. Not... | 4 | [
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0.0179443359375,
-0.1318359375,
-0.001... | 42,282 | 42282 | |
Center of universal enveloping algebra of nilpotent lie algebra
up vote 3 down vote favorite
Let g be a finite dimensional nilpotent lie algebra over a field k of characteristic zero. Let U(g) be the universal enveloping algebra and Z(g) be its center. Denote by Z_1(g) the augmentation ideal
of Z(g). If g is not abel... | 5 | [
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0.0032958984375,
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0.0279541015625,... | 42,283 | 42283 | |
2 x 2 matrix representing a rotation
September 20th 2009, 02:50 PM #1
Junior Member
Joined
Jul 2009
Posts
31
2 x 2 matrix representing a rotation
I'm trying to work through the following theorem in Brannan et al.'s book "Geometry" (you might wish to skip ahead to the bold text "The Source of My Problem",... | 4 | [
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... | 42,284 | 42284 | |
how to explain?
April 13th 2012, 02:54 AM
arangu1508
how to explain?
how to explain -1 x -1 = +1 (minus x minus equals plus). Is there any practical example (explanation) for this? I have read as a mathematical formula, but how it is true? Kindly enlighten me. Any
guidance on this issue is welcome.
With... | 4 | [
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... | 42,285 | 42285 | |
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Topic: about the Kronecker-Weber theorem
Replies: 6 Last ... | 5 | [
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... | 42,286 | 42286 | |
The Guinand-Weil explicit formula without entire function theory
up vote 5 down vote favorite
3
I'll admit from the outset that this question is slightly vague. The actual question appears at the end of the post.
The explicit formula of Guinand and Weil can be written in the following way:
For 'nice' g (i.e. in $C_c... | 4 | [
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... | 42,287 | 42287 | |
What am I doing wrong in this integration problem?
January 18th 2009, 09:04 PM #1
Newbie
Joined
Jan 2009
From
USA
Posts
16
What am I doing wrong in this integration problem?
Hi, I've been working on this integration problem, but when I upload it to our homework program the computer keeps saying that ... | 5 | [
0.0025787353515625,
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prove or desprove by example
September 2nd 2011, 04:40 AM
transgalactic
prove or desprove by example
1.prove or desprove by example:
a)
$sup\{\frac{[x]}{[x]+1}|x\geq0\}=1$
b)prove or desprove that $x^{3}$ 'uniformly' continuous in R
c)if f(x) monotonicly decreasing in $[0,\infty)$ and $lim_{x->\i... | 5 | [
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0.078125,
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-... | 42,289 | 42289 | |
Deligne's “La Categorie des Representations du Groupe Symetrique S_t, lorsque t n’est pas un Entier Naturel.”
Deligne’s “La Categorie des Representations du Groupe Symetrique S_t, lorsque t n’est pas un Entier Naturel.” February 25, 2009
Posted by David Speyer in Uncategorized.
trackback
In the requests section, Noah... | 4 | [
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... | 42,290 | 42290 | |
Weak divergence implies weak differentiability of components?
up vote 1 down vote favorite
2
Suppose $\Omega$ is an open set in $\Bbb{R}^N$ and $\sigma : \Omega \to \Bbb{R}^N$ is a field with all components belonging to $L^2(\Omega)$.
We say that $\sigma$ has weak divergence if there exists a function $w \in L^2(\Ome... | 4 | [
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Propositional Logic Proof
June 16th 2011, 06:03 AM
hmmmm
Propositional Logic Proof
I was wondering if this proof was ok or if (as I suspect) I am wrong and if you could help point me in the right direction.
thanks for any help
Suppose that $\mathcal{F}$ is an inconsistent set of sentences. For each $G\... | 5 | [
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0.033203125... | 42,292 | 42292 | |
Equasions With Fractional Coefficients
May 1st 2007, 08:28 AM #1
Solve and check each of the following.
1. 2x/7 + 3x/2 = 25/7
2. x-2/2 - x+2/4 = 1/2
3. 2.4x - 1.2x = 4.8
Please explain to me how to find the answers to these questions. My teacher is giving me a test on problems like these and I... | 4 | [
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... | 42,293 | 42293 | |
Equation of a Sphere
Date: 09/17/97 at 09:20:03
From: Matt Ream
Subject: Equation of a sphere given 3 points
I am helping write a geometry computer program and we are stuck.
We are trying to find an equation or group of equations simplified
that would solve for the center point and radius of a sphere given
three poi... | 5 | [
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-... | 42,294 | 42294 | |
Math Help
December 2nd 2006, 05:18 PM #1
Newbie
Joined
Dec 2006
Posts
17
I need help solving this question... i dont even know where to start... so confused:
Sand is being poured onto a conical pile at the rate of 9 m^3/h. Friction forces in the sand are such that the slope of the sides of the conic... | 5 | [
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Boxplots in R
In this activity we show our readers how to create a boxplot in R. In preparation for this activity, we must first explore what statisticians call "measures of central tendency," specifically the
mean and median of a data set.
Measures of Central Tendency
We first create a set of data that we will use ... | 4 | [
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... | 42,296 | 42296 | |
Can the standard deviation ever = 0?
My name is Karen. I am a junior in high school and I have a question:
If given a class of 30 people who take a test with a mean of 80. Can the standard deviation ever = 0? If so, why?
My supposition is that the only way the standard deviation can be 0 is if all the students in the... | 4 | [
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... | 42,297 | 42297 | |
Independent Outcomes OR (AND?) Dependent Ones
Date: 08/21/2012 at 04:21:39
From: Millicent
Subject: Do mutually exclusive events always have to be an OR
I was given this problem:
At a certain non-profit organization, 56% of employees are college
graduates and 53% of employees have more than ten years of experience. ... | 4 | [
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Complex Numbers; urgent help needed
November 30th 2008, 11:34 AM #1
Member
Joined
Nov 2008
Posts
79
Complex Numbers; urgent help needed
I have spent a considerable amount of time trying to awnser this question. I have no time left... ANY help on this would be much appreciated
We will look at the fo... | 5 | [
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