content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
[SOLVED] parallelograms
June 16th 2008, 01:12 PM #1
Newbie
Joined
Dec 2007
Posts
9
[SOLVED] parallelograms
The diagonals of a parallelogram have measures of 8 and 10 and intersect at a 60 degree angle. Find the area of the parallelogram.
Hello,
See the sketch below...
Hint : use trigonomet... | 4 | [
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0.006... | 45,800 | 45800 | |
Denseness of inner automorphisms inside automorphisms of hyperfinite type III_1 factor
up vote 14 down vote favorite
6
Let $R$ be the hyperfinite type $III_1$ factor, and let $Aut(R)$ be its group of automorphisms, equipped with the $u$-topology (topology of pointwise convergence on the predual). An automorphism $\
al... | 5 | [
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0.020263671875,
-0.060... | 45,801 | 45801 | |
Point of intersection of the tangent to the graph of y=x^2
September 30th 2009, 11:15 PM #1
Junior Member
Joined
Sep 2009
Posts
57
Point of intersection of the tangent to the graph of y=x^2
Find the coordinates of the point of intersection of the tangents to the graph of y=x^2 at the points at which it m... | 4 | [
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0.0201416015625,
0.162109375,
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-0... | 45,802 | 45802 | |
Completing the square
From Conservapedia
Completing the square is a method for solving for the roots of the general quadratic equation:
ax^2 + bx + c = 0, where $a e 0$
It is first taught using equations with "friendly" numbers in place of a, b, and c to get the student used to the process.
What one does is ad... | 4 | [
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0.0... | 45,803 | 45803 | |
Finding the nth Term
Date: 03/30/2002 at 07:40:43
From: Kathy Angus
Subject: Finding the nth term
This is the investigation. This was the starting point:
A colony of bees is making a honeycomb consisting of hexagonal cells.
They start with the center cell. The next day they add the six cells
round the center cell, ... | 4 | [
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Climbing Powers
Copyright © University of Cambridge. All rights reserved.
'Climbing Powers' printed from http://nrich.maths.org/
There are two definitions of $2^{3^4}$ . Definition 1 gives $(2^3)^4$ which is $2^{12}$ and definition 2 gives $2^{(3^4)}$ which is $2^{81}$.
Similarly the values of $(\sqrt{2}^{\sqrt{2}}... | 4 | [
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-0.0966796875,... | 45,805 | 45805 | |
Is there a good definition of the universal cover for non-connected Lie groups?
up vote 5 down vote favorite
1
It is well-known that the universal cover $\tilde G$ of a connected Lie group $G$ has a Lie group structure such that the covering projection $\tilde G\to G$ is a Lie group morphism. Of course $\
tilde G$ mig... | 4 | [
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Position of roots
The following result is quite useful in irreductibility problems for polynomials.
Prove that if $a_0 \geq a_1\geq ... \geq a_n >0$ then all the roots $z$ of $p(x)=a_nx^n+...+a_1x+a_0$ satisfy $|z| >1$ or $z$ a root of unity of some order.
Solution:
If all $a_i$ are equal, then the polynomial is a ... | 5 | [
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theorem on constructible angles
theorem on constructible angles
Theorem 1.
Let $\theta\in\mathbb{R}$. Then the following are equivalent:
1. 1.
2. 2.
$\sin\theta$ is a constructible number;
3. 3.
$\cos\theta$ is a constructible number.
Proof.
First of all, due to periodicity, we can restrict ou... | 4 | [
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Convergence to a (unique?) fixed point?
up vote 3 down vote favorite
1
Consider a given $N\times P$ matrix $X$ (full rank with columns ${\bf x}_p$, $p=1,\ldots,P$), a given vector ${\bf y}\in R^N$ and a thresholding function $\eta_\lambda(|x|)=(|x|-\lambda)_+$ with $\
lambda>0$.
Start with a vector ${\boldsymbol \alp... | 4 | [
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One yes or no and one ellipse equation
June 7th 2006, 05:47 PM #1
Newbie
Joined
Mar 2006
Posts
8
One yes or no and one ellipse equation
For ((X^2)/ 9) + ((Y^2)/16) = 1
the general form after 4 units right and 2 units down would be:
16x^2 + 9y^2 - 128x +36y + 148 = 0 Yes/No
and for the equat... | 4 | [
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Bimmerfest - BMW Forums - View Single Post - Horsepower vs Torque Relevance and Explanation Attempt!
Horsepower vs Torque Relevance and Explanation Attempt!
Quote:
POWER/TORQUE/GEARING
Engine horsepower and engine torque is perhaps the single most misunderstood subject amongst people and even proclaimed car enthusia... | 4 | [
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series convergence question
April 14th 2009, 07:49 PM #1
series convergence question
This is probably really obvious, but I am not seeing it.
Why does,
$\lim_{n\rightarrow \infty} (1 + \frac{1}{n})^n = e$ ?
Apply L'Hopital's rule. By direct evaluation, it has the indeterminate form of $1^{\infty}$
... | 5 | [
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Jacobian Matrices in Transformations
Date: 08/05/99 at 00:58:31
From: Mike Smith
Subject: Determinants
I have a question involving determinants. In calculus, to make an
integration simple we do transforms on x, y, z. We use this formula we
were given, without proof of its correctness:
partial x/partial U partia... | 5 | [
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How can this inequality be proved?
If x, y > 0 and 0 < p < 1, then (x+y)^p < x^p+y^p. It was on Wikipedia: http://en.wikipedia.org/wiki/Inequality_(mathematics)#Power_inequalities
There are a few fun ways to prove this. First, consider the case $\, x=y$. Note then that $(x+y)^p = (x+x)^p = (2x)^p = 2^p(x^p)$and $x^p +... | 5 | [
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[SciPy-dev] Possible Error in Kendall's Tau (scipy.stats.stats.kendalltau)
[SciPy-dev] Possible Error in Kendall's Tau (scipy.stats.stats.kendalltau)
Almer S. Tigelaar almer@gnome....
Tue Mar 17 14:05:49 CDT 2009
Hello,
(I realize this mail is a bit lengthy, but I would appreciate it if someone could comment on it).... | 5 | [
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Recurrence Relations
August 14th 2008, 04:37 PM #1
Junior Member
Joined
Apr 2008
Posts
37
Recurrence Relations
I don't realy understand how to solve recurrence relations. I have the following 2 problems and I don't know how to work them.
1)
$<br /> a_{n} = 6a_{n-1} - 8a_{n-2}, for n >= 2, a_{0} ... | 5 | [
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[Scipy-svn] r5096 - in trunk/scipy: cluster odr optimize spatial
scipy-svn@scip... scipy-svn@scip...
Thu Nov 13 16:23:16 CST 2008
Author: ptvirtan
Date: 2008-11-13 16:22:59 -0600 (Thu, 13 Nov 2008)
New Revision: 5096
Modified:
trunk/scipy/cluster/hierarchy.py
trunk/scipy/odr/odrpack.py
trunk/scipy/optimize/... | 4 | [
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Rearrange for X - cant seem to make any sense of this problem
February 23rd 2013, 01:57 PM #1
Newbie
Joined
Feb 2013
From
Norway
Posts
4
Rearrange for X - cant seem to make any sense of this problem
Please see attached formula picture. ee(P), ee(S), c and E are variables
I really want to rearran... | 5 | [
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A Question of Odds
My son is studying for his Ohio 3rd Grade Achievement Assessment test. He brought home this practice test and I'm confused. Take a look:
Basically, the test is asking which number will most likely come up next and gives three choices. My kid chose the sucker's bet, the one Vegas hopes you choose. The... | 4 | [
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In the sense of Collatz
up vote 0 down vote favorite
Let $n=a_ka_{k-1}\ldots a_1a_0$ be a $(k+1)$ digit number.
Step 1: Find $a_k \times a_{k-1} \times \ldots \times a_1 \times a_0= c_tc_{t-1}\ldots c_1c_0$.
Step 2: Find $a_k + a_{k-1} + \ldots + a_1 + a_0= d_ld_{l-1}\ldots d_1d_0$.
Then form $n_1=c_tc_{t-1}\ldots ... | 5 | [
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quadratic roots
November 27th 2009, 01:31 PM #1
Senior Member
Joined
Sep 2009
Posts
300
quadratic roots
I worked out that the roots of this
3x^2 -3
are x=1 or x=-1 is this correct?
my classmate said he got x=-1 or x=1.7
You are correct.
You have $3x^2 - 3 = 0$
Divide both side... | 4 | [
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... | 45,821 | 45821 | |
Inital Value Problem with Laplace Transforms
July 25th 2009, 06:21 AM #1
$y" + 6y' +5y = 12e^t$
Solve with the initial conditons y(0)=-1 y'(0)=6
$L{y"}s +6L{y'}s + 5Y(s)= 12e^t$
I am stuck on this because of the $12e^t$
The other problems I think I have done right.
Example:
y" -y' - 2y ... | 5 | [
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... | 45,822 | 45822 | |
Need to find a number according to this:
February 23rd 2013, 02:11 AM
Sott
Need to find a number according to this:
Hello :)
How I would have to solve it, what do you think?
I need to find the smallest natural number X [ http://latex.codecogs.com/gif.latex?...lon \mathbb{N}] with these features:
1... | 4 | [
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0.035644... | 45,823 | 45823 | |
probability
January 29th 2009, 12:50 AM #1
Newbie
Joined
Jan 2009
Posts
2
probability
A line of 100 airline passengers is waiting to board an aeroplane. They each have a ticket to one of the 100 seats of that flight. (For convenience, let's suppose that the kth passenger in the
line has a ticket for ... | 5 | [
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0.0072937011718... | 45,824 | 45824 | |
An expression for the function $f_e$ that appears in the Weil Pairing
up vote 2 down vote favorite
1
Let $K$ be a local field and $E/K$ an elliptic curve such that the set of $N$-torsion points, $E[N]$, is contained in $E(K)$. For $e$ in $E[N]$, I am interested in finding and expression for the
function $f_e$ in K(E) ... | 4 | [
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Euclidean algorithm
September 25th 2012, 11:24 AM #1
Senior Member
Joined
Sep 2012
From
Sweden
Posts
250
Thanks
6
Euclidean algorithm
Determine
(SGD means GCD)
i need the answer fast if any1 can plz i have solve it this far:
14400=14*1022+92 (r1=92)
1022=92*11+10 (r2=10)
92=... | 5 | [
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0.002166748046875,
-0.049560546875,
-0.037841796875,
0.02734375,
0.0279541015... | 45,826 | 45826 | |
Why does Tate's conjecture imply semisimplicity of crystalline Frobenius?
up vote 15 down vote favorite
5
I'm trying to find a reference for the following fact:
If Tate's conjecture is true for all smooth projective varieties over $\mathbb{F}_p$, then the Frobenius endomorphism on the crystalline cohomology of an... | 4 | [
-0.006927490234375,
-0.005889892578125,
0.022705078125,
0.03955078125,
0.115234375,
0.024658203125,
0.0177001953125,
-0.0118408203125,
-0.0311279296875,
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0.02197265625,
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-0.00543212890625,
-0.008056640625,
0.05859375,
-0.023681640625,
-0.0986328125,
... | 45,827 | 45827 | |
General Solution to an Equation
September 13th 2008, 01:07 AM #1
Junior Member
Joined
Jul 2008
Posts
27
General Solution to an Equation
Hi,
I was wondering if someone could take five minutes to explain how you work out the general solution to an equation. I sort of understand it but is there a way i... | 5 | [
-0.06982421875,
-0.06494140625,
0.058837890625,
0.019287109375,
0.00994873046875,
-0.029296875,
-0.0091552734375,
-0.04833984375,
-0.01373291015625,
-0.0223388671875,
0.07666015625,
-0.0072021484375,
-0.0037384033203125,
0.0625,
0.0224609375,
-0.052734375,
-0.033935546875,
-0.01330... | 45,828 | 45828 | |
minimise/maximise distance between (0,4) and y=x^2/4
December 9th 2009, 02:28 PM #1
Newbie
Joined
Dec 2009
Posts
11
I am trying to find the minimum and maximum distance between point (0,4) and the line y=(x^2)/4 in the region of 0<=x<=2√3.
This is what i have so far
y(distance)=√((x-0)^2+((x^2)/... | 4 | [
0.08349609375,
0.007659912109375,
-0.049072265625,
-0.07421875,
-0.031005859375,
-0.05712890625,
-0.057373046875,
0.0693359375,
0.0400390625,
-0.05517578125,
0.10107421875,
0.029541015625,
0.032470703125,
0.11328125,
-0.017822265625,
0.0927734375,
0.056640625,
-0.06591796875,
-0.... | 45,829 | 45829 | |
Appendix
There are many measures of association used to measure the strength of relationship. Each has advantages and disadvantages. In this module, we have used two--Cramer's V and Goodman and Kruskal's
Gamma. This appendix describes how to compute these measures. However, you will use a statistical package s... | 5 | [
0.03955078125,
-0.050537109375,
-0.130859375,
-0.00909423828125,
-0.052001953125,
0.0771484375,
0.039794921875,
0.0211181640625,
-0.05224609375,
0.01239013671875,
0.033935546875,
-0.01953125,
0.04833984375,
0.054931640625,
-0.06005859375,
0.046142578125,
0.0169677734375,
-0.0115356... | 45,830 | 45830 | |
Error in Complex Analysis Proof
May 24th 2007, 07:20 PM #1
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Error in Complex Analysis Proof
My Complex Analysis book states the following interesting theorem:
Let $N(c,r)$ be a open disk in $\mathbb{C}$. Let $f$ be a co... | 4 | [
-0.0380859375,
0.0751953125,
0.00665283203125,
0.004608154296875,
0.0087890625,
0.042724609375,
0.0220947265625,
0.0023040771484375,
-0.0986328125,
0.0240478515625,
0.0498046875,
-0.013671875,
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0.01287841796875,
0.027099609375,
-0.0869140625,
-0.03466796875,
-0.0... | 45,831 | 45831 | |
Solving Differential Equations with An Integrating Factor
May 14th 2010, 11:50 AM #1
Junior Member
Joined
Sep 2008
Posts
33
Solving Differential Equations with An Integrating Factor
I have two differential equations that I need to solve. All the teacher told me is that I need to use a integrating factor ... | 5 | [
-0.0033416748046875,
-0.08203125,
0.052490234375,
0.0966796875,
0.0810546875,
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-0.00897216796875,
-0.11669921875,
0.01806640625,
0.08984375,
-0.016357421875,
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0.07470703125,
-0.00872802734375,
0.07470703125,
0.0016326904296875,
0.0800... | 45,832 | 45832 | |
Economics Model Answers Eight
From Conservapedia
Introductory: 1. A monopoly can be extraordinarily profitable because there is no __________.
Competition.
2. Provide three specific examples of monopolies and describe briefly what they do.
The United States Postal Service, which delivers mail; Microsoft, which sel... | 5 | [
-0.0301513671875,
-0.049560546875,
0.08056640625,
-0.0615234375,
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-0.0162353515625,
0.049072265625,
0.04345703125,
0.0252685546875,
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0.09765625,
0.010986328125,
0.02490234375,
0.042236328125,
-0.02978515625,
0.05029296875,
-0.01... | 45,833 | 45833 | |
Factoring expressions! I know the answers, I need help learning how to get answers.
November 10th 2013, 06:42 AM #1
Newbie
Joined
Nov 2013
From
Mississippi
Posts
1
I know the answers to these expressions, Its just that I don't know how to work them. I need help learing
(fx)=3x/(7-x) Answer:7
... | 4 | [
-0.01239013671875,
0.00701904296875,
0.04052734375,
0.08251953125,
0.04248046875,
0.048583984375,
0.006072998046875,
-0.002655029296875,
-0.03173828125,
0.0216064453125,
0.061767578125,
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0.02392578125,
0.07666015625,
-0.0223388671875,
0.00616455078125,
-0.02734375,
0.... | 45,834 | 45834 | |
Velocity and Displacement Please Help I have lost it completely.
September 1st 2013, 09:40 AM
camorris
Velocity and Displacement Please Help I have lost it completely.
Right. It may be because I have hurt my back and am heavily medicated but I cannot do this. I have sat here for 4 hours and have started going in... | 4 | [
0.09765625,
-0.0101318359375,
0.0966796875,
0.01141357421875,
0.0185546875,
0.04150390625,
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0.04541015625,
0.01165771484375,
0.00148773193359375,
-0.00159454345703125,
-0.0072021484375,
-0.03466796875,
0.062255859375,
-0.061767578125,
-0.00927734375,
0.0211181640625,
... | 45,835 | 45835 | |
Deriving the Distance Formula from the Pythagorean Theorem
Date: 03/23/2003 at 05:14:57
From: Hans
Subject: Formula derivation
How does one derive the distance formula from the Pythagorean theorem?
Thanks.
Date: 03/23/2003 at 09:23:14
From: Doctor Jerry
Subject: Re: Formula derivation
Hi Hans,
Suppose we have po... | 4 | [
-0.0361328125,
-0.00628662109375,
-0.042236328125,
-0.0732421875,
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0.030517578125,
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0.025390625,
-0.054931640625,
0.051513671875,
-0.031494140625,
-0.047851... | 45,836 | 45836 | |
Math Forums @ Math Goodies - Probability Help ?testing headertesting left navtesting footer
Math Goodies is a free math help portal for students, teachers, and parents.
... | 4 | [
-0.051513671875,
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0.... | 45,837 | 45837 | |
Rotating curves to find volume
November 25th 2009, 03:24 PM #1
Member
Joined
Oct 2009
Posts
77
Rotating curves to find volume
1) Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.
$y = 1-\frac{5}{2}x, y=0, x=2, x=3$
Cut it into circles and integrate... | 4 | [
-0.0264892578125,
-0.076171875,
0.0203857421875,
-0.111328125,
-0.0089111328125,
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0.02099609375,
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0.0234375,
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0.025390625,
0.005340576171875,
-0.020874... | 45,838 | 45838 | |
One to One proof
September 8th 2011, 04:02 PM #1
Junior Member
Joined
Sep 2009
Posts
62
One to One proof
Let f: R+ --> R+ where R+ is the positive reals, and f(x)=x^4. Prove or disprove that it's one to one.
Ok, I understand the whole f(a)=f(b) thing down to a=b. But the book says it's not one to on... | 4 | [
-0.01019287109375,
0.0673828125,
-0.07080078125,
0.07080078125,
-0.051513671875,
0.038330078125,
0.04541015625,
-0.0498046875,
0.035888671875,
-0.00872802734375,
-0.00127410888671875,
-0.048583984375,
0.08935546875,
0.078125,
-0.00482177734375,
0.035888671875,
-0.05419921875,
-0.03... | 45,839 | 45839 | |
e^(i*pi) = -1: pi = 0 ?
Date: 10/17/97 at 11:29:15
From: John K. Koehler
Subject: Weird tricks
Dr. Math,
I know that from a certain trig identity we get the equation
e^(i*pi) = -1. I have been playing around with this equation and have
found some disturbing things. I hope that you can help me.
First:
e^(2*... | 5 | [
-0.1484375,
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0.154296875,
-0.011474609375,
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0.0498046875,
0.0279541015625,
-0.068359375,
-0.07275390625,
0.00199890136718... | 45,840 | 45840 | |
tra
Tutorial on Power Spectral Density Calculations for Mechanical Oscillators
( with an exhaustive discussion of Units )
... | 4 | [
-0.0693359375,
0.000522613525390625,
-0.0272216796875,
0.053466796875,
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-0.04052734375,
-0.0008544921875,
-0.01202392578125,
0.0198974609375,
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0.051025390625,
-0.053955078125,
-0.013916015625,
-0.033203125,
0.0546875,
0.... | 45,841 | 45841 | |
Random analyses in MATLAB
Correlation is a basic and fundamental concept. By 'correlation' I refer to Pearson's product-moment correlation (r), which I find to be most useful, but there are other versions of correlation. In a
nutshell, correlation is a single number ranging from -1 to 1 that summarizes how well one set... | 5 | [
-0.020263671875,
-0.0966796875,
-0.06591796875,
-0.0400390625,
0.0184326171875,
0.017578125,
0.06884765625,
-0.016845703125,
0.06005859375,
0.028564453125,
0.02734375,
0.0267333984375,
0.0498046875,
0.0179443359375,
-0.0390625,
-0.07373046875,
-0.01055908203125,
-0.06689453125,
-... | 45,842 | 45842 | |
reidhex
> I wonder if the flaw can be removed with this shape.
Comments by Michael Reid:
interesting! i can show that no perfect hexagon is possible,
i assume that's what you're asking.
however, it is possible to make hexagonal annuli with arbitrarily
small inner hexagon and arbitrarily large outer hexagon.
now that... | 5 | [
0.00872802734375,
0.03955078125,
-0.0673828125,
-0.052978515625,
-0.0289306640625,
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0.01806640625,
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-0.019775390625,
0.044189453125,
0.00042724609375,
-0.020751953125,
-0.022705078125,
0.033447265625,
0.00738525390625,
-0.061279296875,
-0.044189453125... | 45,843 | 45843 | |
Partial derivative examples
Video introduction
Partial derivative examples.
Once you understand the concept of a partial derivative as the rate that something is changing, calculating partial derivatives usually isn't difficult. (Unfortunately, there are special cases where
calculating the partial derivatives is hard... | 5 | [
0.046142578125,
-0.034912109375,
0.001495361328125,
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-0.046142578125,
-0.0172119140625,
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0.059326171875,
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0.06591796875,
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-0.016845703125,
0.04150390625,
0.09375,
0.007080078125,
-0.09228515625,
0.014465... | 45,844 | 45844 | |
dy
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Here's the question you clicked on:
ksaimouli Group Title
antiderivative?
•... | 5 | [
-0.03955078125,
0.0576171875,
-0.00140380859375,
-0.0225830078125,
0.02685546875,
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0.0341796875,
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0.0458984375,
0.11572265625,
-0.031982421875,
-0.045166015625,
-0.021484375,
0.00628662109375,
-0.0245361328125,
0.0029296875,
0.04199218... | 45,845 | 45845 | |
Find a Vector
October 4th 2008, 03:05 AM #1
MHF Contributor
Joined
Jul 2008
From
NYC
Posts
1,489
Find a Vector
Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.
The vector $\vec p = i+j$ has the magnitude $|i+j| = \sqrt{2}$... | 4 | [
-0.006195068359375,
-0.035888671875,
0.0002117156982421875,
-0.005828857421875,
0.013427734375,
0.021728515625,
-0.03173828125,
-0.01513671875,
-0.044677734375,
0.056640625,
0.00848388671875,
0.01092529296875,
-0.044189453125,
0.04150390625,
-0.035888671875,
-0.046630859375,
-0.01794... | 45,846 | 45846 | |
expansion and factorisation diophantine equation
February 17th 2007, 04:17 PM #1
Newbie
Joined
May 2006
Posts
11
expansion and factorisation diophantine equation
hey could someone please help me with this question... i think 10 is one of the answers buh i got that through guess and check and not through ... | 4 | [
-0.0869140625,
0.0264892578125,
0.01434326171875,
0.01287841796875,
0.07373046875,
0.01409912109375,
0.048583984375,
0.0181884765625,
-0.07470703125,
-0.056396484375,
0.072265625,
0.016357421875,
0.01446533203125,
0.10595703125,
-0.0179443359375,
0.045166015625,
-0.010498046875,
-0... | 45,847 | 45847 | |
Finite Groups and Normal Subgroups
Date: 10/30/2004 at 15:22:12
From: Emily
Subject: Finite groups and normal subgroups
Let G be a finite group of order n such that G has a subgroup of order
d for every positive integer d dividing n. Prove that G has a proper
normal subgroup N such that G/N is Abelian.
If n is prim... | 5 | [
-0.07275390625,
-0.004119873046875,
0.1279296875,
0.07080078125,
0.078125,
-0.053466796875,
-0.0223388671875,
-0.006439208984375,
-0.07275390625,
0.0002593994140625,
0.037353515625,
0.05078125,
-0.06103515625,
-0.072265625,
-0.04248046875,
0.03759765625,
-0.0162353515625,
0.0174560... | 45,848 | 45848 | |
area using riemann sums
May 30th 2011, 11:42 AM #1
Member
Joined
Jan 2011
Posts
75
area using riemann sums
I am learning about using riemann sums to calculate area. I came across this example and it doesn't make much sense to me.
the example is: find the area of the region bounded by y = 16 - x^2 an... | 5 | [
0.006561279296875,
0.01104736328125,
0.033447265625,
0.03173828125,
0.0052490234375,
-0.06640625,
-0.048828125,
0.0302734375,
0.04248046875,
-0.12353515625,
-0.054443359375,
0.009765625,
-0.01116943359375,
0.043701171875,
-0.030029296875,
-0.09033203125,
0.021484375,
-0.07080078125... | 45,849 | 45849 | |
Systems of first order linear equations
November 26th 2009, 10:33 PM #1
Newbie
Joined
Oct 2009
Posts
8
Systems of first order linear equations
$x' = \left[ \begin{array}{cccc} -\frac{5}{2} & 1 & 1 \\ 1 & -\frac{5}{2}& 1 \\ 1 & 1 & -\frac{5}{2} \end{array} \right]x$
I have found that the eigenvalues ... | 5 | [
-0.08544921875,
-0.0986328125,
0.0177001953125,
-0.06689453125,
0.04541015625,
-0.054443359375,
0.028564453125,
-0.0257568359375,
-0.03076171875,
-0.0027008056640625,
0.064453125,
-0.05615234375,
0.017822265625,
-0.0172119140625,
-0.0625,
0.01409912109375,
-0.020751953125,
-0.09375... | 45,850 | 45850 | |
Functions and Inverses
Date: 05/29/2002 at 01:42:57
From: Marianne Richa
Subject: Functions (Surjection, Bijection)
Hi Dr. Math,
I was doing the following exercise and I couldn't find when both are
injective and surjective:
Let A, B, and C be three sets, and f:A->B, g:B->C are two
functions.
Define A, B, C, ... | 5 | [
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0.0118408203125,
-0.0162353515625,
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0.02734375,
0.003265380859375,
0.004638671875,
-0.042724609375,
-0.041015625,
-0.035400390625,
0.019287109375,
-0.010986328125,
-0.0185546875,
0.05908203125,
-0.021728515625,
-0... | 45,851 | 45851 | |
Prove quotient group cyclic
Let $G=C_8\times C_8$ and $H\leq G$. $H$ is cyclic of order 8. Show that $G/H$ is cyclic.
I'm not sure my solution is correct, but here it goes. I assume $C_8$ is a cyclic group of order 8. So H is isomorphic $Z_8$, or to $\{0\} \times Z_8$. So $(C_8 \times C_8)/H$ is isomorphic to $(Z_8
\t... | 5 | [
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-0.051513671875,
-0.0244140625,
-0.0206298828125,
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0.010986328125,
-0.072265625,
0.07421875,
-0.004364013671875,
0.0228271484375... | 45,852 | 45852 | |
5 CONCEPTUAL problems I need help with, thank you.
July 26th 2011, 01:34 PM
jimmeyers
5 CONCEPTUAL problems I need help with, thank you.
These are not difficult subjects, but they are tricky problems. To prepare for a test our professor gave us some practice problems to make sure we understand the concepts. I go... | 5 | [
-0.0771484375,
0.004852294921875,
0.087890625,
-0.06640625,
-0.023193359375,
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0.042724609375,
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-0.0037994384765625,
-0.042724609375,
0.078125,
-0.07080078125,
-0.0673828125,
... | 45,853 | 45853 | |
Can Hölder's Inequality be strengthened for smooth functions?
up vote 20 down vote favorite
9
Is there an $\epsilon>0$ so that for every nonnegative integrable function $f$ on the reals,
$$\frac{\| f \ast f \|_\infty \| f \ast f \|_1}{\|f \ast f \|_2^2} > 1+\epsilon?$$
Of course, we want to assume that all of the no... | 4 | [
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-0.005767822265625,
0.01495361328125,
... | 45,854 | 45854 | |
Math Help
February 25th 2014, 07:41 AM #1
Member
Joined
Jun 2013
From
Israel
Posts
158
Arcsinx
So there is a question that asks that to show that sinx has an inverse function, and show that it;s differantiable at any point. So I showed that it's one to one and it's bijection func at [-pie/
2,pie... | 5 | [
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0.0869140625... | 45,855 | 45855 | |
Product of complex numbers in polar form
July 18th 2011, 05:15 PM #1
Newbie
Joined
Jul 2011
Posts
21
Product of complex numbers in polar form
Two complex numbers, $z_{1}$ and $z_{2}$, are expressed in polar form.
$z_{1}=(\sqrt{2},10^{\circ})$
$z_{2} = (2\sqrt{2}, 15^{\circ})$
What is the pr... | 4 | [
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Help with an algebraic proof
March 29th 2008, 01:20 PM #1
Member
Joined
Mar 2008
Posts
78
Help with an algebraic proof
Prove that if $0 \leq a<b$, then
$a < \sqrt{ab} < \frac{a+b}{2} < b$
I know how to find $a < \sqrt{ab}$, but I don't understand how to find $\sqrt{ab} < \frac{a+b}{2}$, or that... | 4 | [
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Application of revenue and cost function.
December 10th 2008, 10:35 AM
jdv214
Application of revenue and cost function.
well first it would help if I knew how to type the math equation so if you can answer that it will help me in the future.. Here is the question.
daily revenue: R(x)=x^2-18
Daily Cost: ... | 4 | [
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problem to find out the numbers
November 7th 2012, 01:54 AM #1
Newbie
Joined
Nov 2012
From
melbourne, australia
Posts
4
problem to find out the numbers
Hi
My son has brought the below problem from his school and unable to achieve the solution. please advise if any one could help how to resolve t... | 4 | [
-0.016845703125,
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0.0385742... | 45,859 | 45859 | |
Finding limit of function using series expansion
March 26th 2010, 08:19 AM
thepopasmurf
Finding limit of function using series expansion
Hi,
I'm trying to prove the following limit
$\sqrt{x(x+1)}-x = \frac{1}{2}$ as x approaches infinity.
I'm getting stuck on the expansion of
$x\sqrt{1+1/x}$
... | 5 | [
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... | 45,860 | 45860 | |
resolution of singular points on plane curves and base change
up vote 0 down vote favorite
Let $k$ be a field and $C/k$ be an affine plane curve over $k$, namely $C = \mathrm{Spec}(A)$ for some $A = k[x,y]/(f(x,y))$, here $f(x,y) \in k[x,y]$ is an irreducible polynomial. Let $B$ be the
integral closure of $A$ in the q... | 4 | [
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... | 45,861 | 45861 | |
Prove set theorems
December 1st 2008, 12:42 PM #1
Newbie
Joined
Dec 2008
Posts
10
Prove set theorems
For any sets A, B, C in a universe U:
Prove that:
If A n B = C n B and A n B' = C n B' then A = C
the "n" symbol means "intersect"
Hello,
$(A \cap B) \cup (A \cap B')=(C \cap B) \c... | 4 | [
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help
January 21st 2007, 05:07 PM
zasi
help
a migrating elephant herd started moving at the rate of 6 miles per hour. one elephant stood still and was left behind.then this stray elephant sensed danger and began running at the rate of 10
miles per hour to reach the herd. the stray caught up in 5 minutes.
... | 4 | [
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... | 45,863 | 45863 | |
Solutions to Ergodic Theory：Lecture Eight
Lecture eight：The mean ergodic theorem
((note:：Professor Terence Tao began posting his lecture notes about the course “ergodic theory” early in 2008. I try doing all the exercises. This is the ten exercises in lecture eight. Here is the
the page of this course，and here is the... | 5 | [
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-0.01843261718... | 45,864 | 45864 | |
well ordering
July 17th 2008, 09:23 AM
particlejohn
well ordering
Prove: Let $X \subset \bold{N}$. Then $X$ is at most countable. Let $A_{0} := X$, and let $a_{0} := \min(A_{0})$. Then $A_{n++} := A_{n} - \{a_{n} \}$ and $a_{n++} := \min(A_{n++})$. So basically
after removing the first smallest element, $a_0... | 4 | [
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0.07666015625... | 45,865 | 45865 | |
Understanding proof by contradiction
October 25th 2008, 09:53 AM #1
Newbie
Joined
Oct 2008
Posts
5
Hello guys,
I have problems understanding proofs by contradiction.
This is one of my exercises :
Give a proof by contradiction that if 2n^9 + 5n^7 - 6n^4 - n^2 - 27 = 0 where n is an integer, ... | 4 | [
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Complex Analysis - Coefficients of Laurent series
April 10th 2012, 09:54 AM #1
Newbie
Joined
Apr 2012
From
Canada
Posts
1
Complex Analysis - Coefficients of Laurent series
I have some past exam questions that I am confused with
I'm not sure how to approach this, I'm completely lost and just... | 4 | [
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-0.01989... | 45,867 | 45867 | |
PLaneT Package Repository : Home > williams > science.plt > package version 4.6
#lang racket
;;; Science Collection
;;; statistics-example.rkt
;;; Copyright (c) 2004-2011 M. Douglas Williams
;;;
;;; This file is part of the Science Collection.
;;;
;;; The Science Collection is free software: you can redistribute it an... | 5 | [
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-0.04443359375,
0.0441894... | 45,868 | 45868 | |
Solving Simple Logarithmic Equations - Problem 2
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Solving Simple Logarithmic Equations - Problem 2 7,838 views
Solving a simple logarithmic equation. So whenever we're solving a logarithmic equation, what we wan... | 4 | [
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0.0888... | 45,869 | 45869 | |
Intraclass correlation
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 |
Statistics: Scient... | 4 | [
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-0.... | 45,870 | 45870 | |
Logarithm Equation
October 24th 2010, 09:09 AM #1
I have this one. It's looks easy to solve. I'm trying to solve and nothing. I can't get an answer.
$\frac{1}{2}lg(x^2 +x-5)=lg5x+lg\frac{1}{5x}$
...
$\frac{1}{2}lg(x^2 +x-5)=lg1$ Can I divide /:1/2
You need two rules and one fact here:
First, ... | 4 | [
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-0.14... | 45,871 | 45871 | |
Field of quotients probs
April 10th 2009, 03:16 AM
Zinners
Field of quotients probs
Hi,
Can anyone get me going on these two problems below. Not really sure how to start off. Thanks
The ring Z6 cannot be imbedded in a field. Why?
The field of quotients of any field D is isomorphic to D. Why?
Apri... | 5 | [
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0... | 45,872 | 45872 | |
Induction question..
November 12th 2007, 07:52 PM #1
Newbie
Joined
Nov 2007
Posts
17
Induction question..
Hello,
I just have a question about Induction.
Lets say we we need to prove that N^3 > N^2 + 3, when N >= 2.
So we start with the base case: where N = 2.. obviously 2^3 is > N^2 + 3.. ... | 4 | [
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0.07... | 45,873 | 45873 | |
Efficiently sampling points uniformly from the surface of an n-sphere
up vote 7 down vote favorite
2
Is there an efficient way to sample uniformly points from the unit n-sphere? Informally, by "uniformly" I mean the probability of picking a point from a region is proportional to the area of that
region on the surface ... | 4 | [
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0.1279296875,
0.019897... | 45,874 | 45874 | |
Finding Inverse of Functions
September 30th 2011, 05:46 PM #1
Junior Member
Joined
Jun 2010
Posts
50
Finding Inverse of Functions
Here's what I have:
f(x)= $\frac{x+3}{x+4}$; x not equal to -4
$f^-1(x)=\frac{3-4x}{x-1}$; x not equal to -1
$f(x): y=\frac{x+3}{x+4}$
$x=\frac{y+3}{y+4}$... | 4 | [
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0.052734375,
-0.0164794921875,
0.072265625,
-0.033935546875,
-0.... | 45,875 | 45875 | |
dy
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Here's the question you clicked on:
1.
cbrusoe Group Title
Best Respon... | 4 | [
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... | 45,876 | 45876 | |
MLE: Sampling Distribution, mean absolute deviation, consistency and bias
November 4th 2012, 03:24 AM
Mick
MLE: Sampling Distribution, mean absolute deviation, consistency and bias
This thread follows on from the other one I posted which involved finding the maximum likelihood estimator.
X[i], i=1,...,n ind... | 4 | [
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-0.00686645... | 45,877 | 45877 | |
Homework Help
Posted by Anonymous on Friday, February 22, 2008 at 9:59pm.
The problem with these two questions is that I cannot determine the a and r. The 3rd question-I don't know what I did wrong. Thanks for the help!
Tell whether the series converges or diverges. If it converges, give its sum.
infinity
(sigma) s... | 5 | [
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0.000652313232421875,... | 45,878 | 45878 | |
Probability birthday same day
October 7th 2005, 11:32 PM #1
Newbie
Joined
Sep 2005
Posts
2
Probability (need it for Tuesday)
There are two soccer teams (2x11 people) and a referee at a soccer stadium. What is the probability that at least two of the 23 people have birthday on the same day? And how do you... | 4 | [
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-0.1337890625,
-0... | 45,879 | 45879 | |
Vertical and Horizontal Asymptotes
Date: 6/3/96 at 3:29:21
From: Anonymous
Subject: Vertical and Horizontal Asymptotes
My name is Margot and I am an Algebra II student in
high school. This is one of the test questions with which I am having
trouble. Using the function f(x)= the quantity x squared minus 2 times
x min... | 4 | [
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-0.024047... | 45,880 | 45880 | |
find the formula for the function
f(x)= x^2+1 g(x)=1/(x-3) f(g(x)) so (1/(x-3))^2 +1 and from there i am lost on this problem. thanks
Your working out is correct. You also don't really need to go any further, unless you are asked to write it down in a different way... $f(g(x))=\left(\frac{1}{x - 3}\right)^2 + 1$ $= \f... | 4 | [
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Proving O(n)
Date: 01/23/2001 at 12:14:01
From: Shawn Marriott
Subject: Proving O(n)
How would you prove that an equation is of order n, or n squared?
Ex: 3n(squared) -31n + 100 O(n square)
Date: 01/23/2001 at 16:17:21
From: Doctor Rob
Subject: Re: Proving O(n)
Thanks for writing to Ask Dr. Math, Shawn.
You nee... | 5 | [
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If f is a uniformly continuous function on a bounded set S, then f is a bounded on S
March 17th 2010, 05:32 PM
Pinkk
If f is a uniformly continuous function on a bounded set S, then f is a bounded on S
Here's my attempt:
Assume to the contrary that $f$ is a uniformly continuous function on a bounded set $S$... | 5 | [
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compute income
Price * Number Sold = Total Income. x(y) = Price based on number sold = 400 - 0.3y y = Number sold y*x(y) = Total Income = z(y) = y*(400-0.3y) = 400y - 0.3y^2
z(y)=400y-0.3y^2 v(y)=4000+6y-.001y^2 $Profit(y) = z(y)-v(y) = 4000 + 394y - 0.299y^{2}$ What do you know about parabolas with negative leading c... | 5 | [
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-0.... | 45,884 | 45884 | |
Relatively simple real analysis related to mean value theorem.
December 2nd 2012, 05:29 PM #1
Junior Member
Joined
Sep 2008
Posts
42
Relatively simple real analysis related to mean value theorem.
Prove that |cos(x)-cos(y)| =< |x-y| for all x,y in the reals. This should be equivalent to showing that |x-y|... | 5 | [
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0.031982421875,
-... | 45,885 | 45885 | |
Pythagorean triples
June 18th 2011, 10:40 AM
Mischa
Pythagorean triples
I have been trying to figure out this problem for hours with no luck.
There exist infinitely many primitive Pythagorean triples in which one of the legs is 8 (which means the difference between the other, longer, leg and hypotenu... | 4 | [
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-0.0502... | 45,886 | 45886 | |
Optimization Cylinder
April 13th 2010, 12:21 PM #1
Newbie
Joined
Apr 2010
Posts
7
Optimization Cylinder
An open-topped cylindrical glass jar is to have a given capacity. Find the ratio of height to diameter if the area of glass is a minimum.
You need surface area in terms of a single variable, in or... | 5 | [
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Combinatorial problem
October 16th 2011, 10:12 AM #1
Combinatorial problem
Consider the problem :
Given $S=\left\{1,2,\cdots, 15\right\}$. How many subsets S' of 4 different elements can we make, such S' contain no consecutive numbers?
I like to show that this problem is equivalent with finding the numb... | 4 | [
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... | 45,888 | 45888 | |
Exponential Growth
Section 9.1
The growth of a population depends on its initial size.
Delta Notation: Greek letter D = Change in quan... | 4 | [
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Does the fact that this vector space is not isomorphic to its double-dual require choice?
up vote 35 down vote favorite
17
Let $V$ denote the vector space of sequences of real numbers that are eventually 0, and let $W$ denote the vector space of sequences of real numbers. Given $w \in W$ and $v \in V$, we can take the... | 5 | [
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0.030517578... | 45,890 | 45890 | |
ation
Arbitrary precision computation
(Click here for a Postscript version of this page.)
1 Introduction
The basic numerical data types provided in most langages (C, C++, Fortran, ...) are limited to a given precision which depends o... | 4 | [
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-0.0329589843... | 45,891 | 45891 | |
Optimization and calculus
please if anyone could help that would be great! The question is about optimisation/calculus.
By your "...about optimisation/calculus." here, you mean using Calculus to find the maximum F based on v. The Calculus part is getting the 1st derivative of F with respect to v. This is dF/dv, or
jus... | 5 | [
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0... | 45,892 | 45892 | |
13ubiccjournalvolume2no5 13
AN EFFICIENT BLOCK-BY-BLOCK SVD-BASED IMAGE
WATERMARKING SCHEME
R. A. Ghazy #, N. A. El-Fishawy#, M. M. Hadhoud$, M. I. Dessouky# and F. E. Abd El-Samie#
# Dept. of Electronics and Elect. Commun... | 4 | [
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Definite Integral, just plain evilness from my teacher?
June 18th 2011, 06:39 PM #1
Member
Joined
Mar 2011
Posts
99
Hi Forum
I started reviewing some of my calculus material and I found this unanswered question.
$\int_0^1 \! (x+2)(x+1)^5 \, \mathrm{d}x.$
Now, Wolfram tells me to actually cal... | 5 | [
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Convergence and the central Limit Theorem
The central limit theorem (CLT) asserts that if random variable X is the sum of a large class of independent random variables, each with reasonable distributions, then X is approximately normally
distributed. This celebrated theorem has been the object of extensive theoretical ... | 5 | [
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Homework Help
Posted by Debbie on Thursday, December 11, 2008 at 8:48pm.
If $5,600 is deposited into an account paying 5% interest compounded annually (at the end of each year), how much money is in the account after 3 years?
This is what I get"
5600 X .05 =280 X 3 =840
• math 115 #17 - Ms. Sue, Thursday, Decembe... | 4 | [
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Find the Real solutions
Find the real solutions for: $\sqrt x+\sqrt y +\sqrt {z-2} +\sqrt u+ \sqrt v = x+y+z+u+v$
$\sqrt x+\sqrt y +\sqrt {z-2} +\sqrt u+ \sqrt v = x+y+z+u+v$ Has no real solutions. 1. $x-\sqrt x+y-\sqrt y+(z-2) -\sqrt {z-2}+u -\sqrt u+v- \sqrt v+2 =0 \Rightarrow$$(x-\sqrt x+\frac{1}{4})+(y-\sqrt
y+\fr... | 4 | [
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0.08251953125,
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-0.013916015625,
-0.041015... | 45,897 | 45897 | |
dy
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marcoduuuh Group Title
A right triangle ha... | 4 | [
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Solve Differential equation for the original equation
February 21st 2011, 11:17 AM #1
Member
Joined
Feb 2009
Posts
118
Solve Differential equation for the original equation
Hi,
Is my working correct for the following question?
Question: Solve for the following differential equation for the orig... | 4 | [
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