content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Roots of polynomial equations
December 26th 2010, 01:38 PM #1
Roots of polynomial equations
I was happily answering some questions from my further pure textbook earlier until I encountered the last question; forgive me in advance for my lack of understanding, I'm only a sixth form
student at the moment and I ... | 4 | [
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Recovering a monoidal category from its category of monoids
up vote 11 down vote favorite
6
What kind of additional properties and/or structures one needs to impose on the category of (commutative or noncommutative) monoids of some monoidal category so that one can recover the original
monoidal category from this data... | 4 | [
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... | 10,201 | 10201 | |
If Ord(a)=1 iff a=e
March 5th 2012, 08:11 PM #1
Member
Joined
Sep 2010
Posts
151
Thanks
1
If Ord(a)=1 iff a=e
Let a,b,c be elements in G Prove the following.
Ord(a)=1 iff a=e.
Attempt: Could i just use definition of order of a group ? So if Ord(a)=1 then the size of G is a?
Re: If Ord(a)=... | 4 | [
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Math Forum Discussions
Re: As x approaches 5
Posted: Jun 1, 2011 1:55 PM
On Wed, 01 Jun 2011 10:45:17 -0700, Alexandros Bantis
<ambantis@gmail.com> wrote in
<news:94nc5dFituU1@mid.individual.net> in
alt.math.undergrad:
> I'm working on Salas (10th Ed) Calculus: One and Several Variables.
> Problem #41
> "Define the ... | 4 | [
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Homework Help
Posted by Sarah on Saturday, September 25, 2010 at 8:08pm.
Mathmate, I really appreciate all your help regarding my composite function question below but I'm still in need of your help. I don't understand how the range of x^2-x+1 is R. Isn't this a parabola
with a minimum for y? Also, I understand minimu... | 4 | [
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How much does a quantum oracle to find a needle in a haystack really cost?
up vote 5 down vote favorite
1
Among the basic algorithms of quantum computations Lov Grover's result on quantum search stands out, both in regards to its intrinsic interest, and for its undisputable elegance.
Grover's algorithm enables one ... | 4 | [
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When is (n choose k) < (n+j choose k-1) for fixed j?
up vote 4 down vote favorite
2
I was curious if anyone has a reference for a formula giving the values of n and k so that $\binom{n}{k}<\binom{n+j}{k-1}$ for a fixed $j$.
Clearly this will be true if $k>\frac{n}{2}$ because then one will have that $\binom{n}{k}\le\... | 5 | [
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... | 10,206 | 10206 | |
Help rearranging an equation - need to find K
October 20th 2010, 01:05 AM #1
Newbie
Joined
Oct 2010
Posts
2
Help rearranging an equation - need to find K
Ok, maths is not my strongest point... so I need your help...
Topic is hydrogeology, I need to rearrange this to isolate K.
Hx^2=h1^2 - x/L (... | 4 | [
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Hero and Fermat on Receding Mirrors
The law of reflection for a simple plane surface (first annunciated by Hero of Alexandria) states that the angle of incidence equals the angle of reflection as illustrated below.
If the source and receiver are at the same height above the mirror, the point of reflection will be ... | 4 | [
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... | 10,208 | 10208 | |
Modular
Modular forms
One of ‘s computational specialities is (the very technical field of) modular forms and can do a lot more than is even suggested in this very brief introduction.
Cusp forms
How do you compute the dimension of a space of cusp forms using Sage?
To compute the dimension of the space of cusp form... | 5 | [
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Nomenclature
December 11th 2009, 01:49 PM
elninio
Nomenclature
How exactly does this read:
(prove that) R[x]/<x^2+2> (is isomorphic to C)
And what exactly does the "/" imply algebraicly?
Thanks.
December 11th 2009, 10:18 PM
sfspitfire23
...
December 11th 2009, 10:19 PM
sfspitfire23
He... | 5 | [
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Integration by Parts
Associated Topics || Dr. Math Home || Search Dr. Math
Integration by Parts
Date: 05/27/97 at... | 5 | [
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Determining If a Large Number is Divisible by 11
Date: 10/22/2003 at 11:55:28
From: Concerned math student
Subject: 57986*11=637846??????
I just learned a trick to decide whether a large number is divisible
by 11 or not. Here's an example to decide if 637846 is divisible by 11:
637846
Cross out the last two dig... | 4 | [
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... | 10,212 | 10212 | |
Local complete intersections which are not complete intersections
up vote 11 down vote favorite
6
The following definitions are standard:
An affine variety $V$ in $A^n$ is a complete intersection (c.i.) if its vanishing ideal can be generated by ($n - \dim V$) polynomials in $k[X_1,\ldots, X_n]$. The definition can a... | 4 | [
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Answer check (ortho projection)
May 24th 2009, 03:43 AM
scorpion007
Answer check (ortho projection)
Given $X=(4,8,4,-8)\in R^4$ and $S = span\{(1,2,1,0),(-1,1,-1,1), (1,0,1,2)\}$ is a subspace,
Find the orthogonal projections of $X$ onto both $S$ and $S^\perp$.
-------------
Now, I've already found... | 5 | [
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Radius of an Arch
Associated Topics || Dr. Math Home || Search Dr. Math
Radius of an Arch
Date: 05/25/98 at 15:52... | 4 | [
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Find the equation of the normal
September 28th 2009, 03:03 PM #1
Junior Member
Joined
Sep 2009
Posts
57
Find the equation of the normal
The tangent at P to the curve y=x^2 has gradient 3. Find the equation of the normal at P.
The answer of this question is 12y=-4x+33
Please help me with this qu... | 4 | [
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Find the largest rectangular block satisfying some condition without iterating explicitly
up vote 10 down vote favorite
6
I have a few large 2D arrays like:
1 2 3 4 5
--------------
1 | 0 1 1 1 0
2 | 0 1 1 1 0
3 | 0 1 0 1 1
4 | 0 1 0 1 1
So, the largest rectangular block (by area) satisfyi... | 5 | [
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Average speed over an interval.
January 20th 2010, 12:13 PM #1
Average speed over an interval.
Blood flows through an artery of radius R. At a distance r from the central axis of the artery, the speed of the blood flow is given by S(r)=k(Rē - rē). Show that the average speed of the blood
flow is one-half the ... | 5 | [
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0.0495605468... | 10,218 | 10218 | |
partial-fraction-decomp question
July 20th 2010, 12:47 PM #1
Newbie
Joined
Jul 2010
Posts
7
partial-fraction-decomp question
I'm having such a hard time solving the problem below
5-x
_____
2xsquared + x -1
Can you help point me in the right direction?
Thank you very much.
Hi t... | 4 | [
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Homework Help
Posted by Neil on Friday, September 24, 2010 at 1:59pm.
Solve the system of equations by an algebraic method. Leave answer in exact form.
4x² - 7y² = 21
x² + 2y² = 99
• Algebra - Ron, Friday, September 24, 2010 at 4:45pm
4x² - 7y² = 21 (eq1)
x² + 2y² = 99 (eq2)
--> eq1-4*eq2
-->
... | 4 | [
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Algorithm of the Week: Topological Sort Revisited
Introduction
We already know what about the topological sort of a directed acyclic graph. So why do we need to revisit this algorithm? First of all I never mentioned its complexity, thus to understand why we do
need a revision let’s get again on the algorithm.
We hav... | 4 | [
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Rational Exponents - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Rational Exponents - Concept 20,935 views
Any radical can also be expressed as a rational exponent. For example, a cube root is equivalent to an exponent of 1/3; a fourth root is an... | 4 | [
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Math Help
6/4-14i a +bi where a and b are real numbers
$\frac{6}{4-14 \bold{i}}$ $\left(\frac{6}{4-14 \bold{i}}\right) . \left(\frac{4+14 \bold{i}}{4+14 \bold{i}}\right)$ $\frac{6 (4+14 \bold{i})}{(4-14 \bold{i})(4+14 \bold{i})}$ $\frac{24 + 84 \bold{i}}
{16 -56\bold{i} + 56\bold{i} -196\bold{i}^2}$ $\frac{24 + 84 \b... | 4 | [
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... | 10,223 | 10223 | |
Exploring Discrete Math
Exploring Discrete Mathematics with MAPLEV:
Instant Insanity Meets Computer Algebra
... | 5 | [
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3d trig head scratcher
August 20th 2006, 05:06 PM
mrmeanscene
3d trig head scratcher
Hello I am trying to find a formula to calculate coordinates depending on speed, long and lat.
x direction = 90 degrees lat, 0 degrees long
y direction = 0 degrees lat, 90 degrees long
z direction = 0 lat, 0 long
... | 5 | [
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... | 10,225 | 10225 | |
Hausdorff Derived Series
up vote 2 down vote favorite
There is a short section in the book Locally Compact Groups by Markus Stroppel (Chapter B7) on the notion of a "Hausdorff Solvable Group", which he defines as a topological group with a descending
chain of closed normal subgroups, but it ends rather abruptly. I've... | 4 | [
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Series
June 8th 2010, 05:48 AM
darknight
Series
The numbers 1,2,3........1998 are written in natural order.
Numbers in odd places are stricken off to obtain a new sequence.
2,4,6,........
Then, numbers in odd places of this sequence are stricken off.
which will obtain: 4,8,......
This process... | 4 | [
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Monthly payment amount
March 16th 2007, 10:31 PM
sissylove
Monthly payment amount
Amount of purchases=15,000. Down payment= 2,000. Rate of interest=8%. Term of loan=5 yrs. Monthly payment amount (P and I)=? Find the Monthly payment amount. the answer i got is 322.80.
I did the problem by A = 13000(1 + .08/1... | 4 | [
0.048095703125,
0.027587890625,
-0.020263671875,
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0.022216796875,
0.0301513671875,
0.0035552978515625,
0.06494140625,
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0.018310546... | 10,228 | 10228 | |
seperating higher power variables
October 13th 2010, 03:57 PM #1
Junior Member
Joined
Mar 2009
Posts
65
seperating higher power variables
I believe this is a high school level algebra question but if its not please move it.
I am having trouble expanding higher power equations, such as, what steps do... | 4 | [
-0.037841796875,
0.00518798828125,
-0.037353515625,
0.076171875,
0.045166015625,
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0.060791015625,
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0.05322265625,
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0.033447265625,
0.02685546875,
0.03955078125,
0.09033203125,
-0.0712890625,
0.0228271484375,... | 10,229 | 10229 | |
encoding n natural numbers into one and back
up vote 1 down vote favorite
Hello, I want to encode n natural numbers into one natural no. Also I should be able to decode it back. I tried Gödel's encoding scheme, but it takes a lot of space[doesen't fit into a double] and
requires a lot of computation.Is there a better ... | 5 | [
0.033447265625,
-0.005462646484375,
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0.046875,
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-0.061279296875,
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0.0006866455078125,
0.06494140625,
-0.01611328125,
0.00927734375,
0.0274658203125,
0.02197265625,
0.... | 10,230 | 10230 | |
The relative size of Earth, Jupiter, Sun (1 : 10 : 100)
top
The relative size of
Earth, Jupiter, Sun
1 : 10 : 100
Clarifying size, ... | 4 | [
0.0849609375,
0.033203125,
0.045654296875,
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0.06640625,
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0.006072998046875,
0.0285... | 10,231 | 10231 | |
Help with Mean Value Theorem
July 26th 2009, 01:25 PM #1
Newbie
Joined
Jul 2009
Posts
1
Help with Mean Value Theorem
Hey everyone. I first found this forum and thought I'd love to help some people, but it turns out that that will have to wait until I get this problem done. *sigh* It isn't going well. Bas... | 4 | [
-0.08984375,
0.041015625,
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0.0142822265625,
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0.040283203125,
0.007171630859375,
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0.0186767578125,
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0.0046691894531... | 10,232 | 10232 | |
.
3. THE VIRIAL THEOREM APPLIED TO CLUSTERS OF NEBULAE
If the total masses of clusters of nebulae were known, the average masses of cluster nebulae could immediately be determined from counts of nebulae in these clusters, provided internebular material
is of the same density inside and outside of clusters.
As a firs... | 4 | [
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... | 10,233 | 10233 | |
Simplicial complex made of central idempotents of an algebra
up vote 2 down vote favorite
Let $A$ be an algebra, say over $\mathbb{C}$ and finite-dimensional, but not necessary semisimple. I have the strong feeling, which I would like to prove and use, about the following rather natural
approach.
Consider the set $S$... | 4 | [
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0.03662109375,
-0.05859375,
-0.006652832... | 10,234 | 10234 | |
If no proper subset of X is dense..
If no proper subset of the topological space X is dense, is the topology necessarily discreate?
Take $x\in X$ and let $A:=\complement\{x\}$. A is not dense, and $\overline{A}=\overline{\complement\{x\}}=\overset{ \circ}{\{x\}}^c$ hence $\overset{\circ}{\{x\}}eq \emptyset$ and $\{x\... | 4 | [
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0.0693359375,
... | 10,235 | 10235 | |
Math Forum Discussions
Re: Dimension of the space of real sequences
Posted: Nov 19, 2012 10:22 AM
On Sun, 18 Nov 2012 12:54:01 -0500, David Bernier
<david250@videotron.ca> wrote:
>On 11/15/2012 05:14 PM, W^3 wrote:
>> In article
>> <903909e2-4673-4c2c-be09-e1be2da87102@y8g2000yqy.googlegroups.com>,
>> Butch Malahide<... | 4 | [
-0.07470703125,
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-0.0649414... | 10,236 | 10236 | |
Question about series and finding an expression/closed form expression
November 29th 2012, 03:09 PM #1
Newbie
Joined
Nov 2012
From
usa
Posts
1
Question about series and finding an expression/closed form expression
Bill deposits 10,000 dollars every year in a savings account earning 3% a year compound... | 5 | [
0.04931640625,
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0.04248046875,
0.029541015625,
0.047607421875,
0.0198974609375,
-0.08154296875,
0.... | 10,237 | 10237 | |
Find Values of x...
Date: 9/4/96 at 22:33:30
From: michael atienza
Subject: Find Values of x...
Determine all real values of x for which
2
2 x - 2x - 48
(x - 5x + 5) = 1
Thanks,
Margarette
Date: 9/5/96 at 9:35:8
From: Doctor Jerry
Subject: Re: Find Values of x... | 4 | [
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-0.0211181... | 10,238 | 10238 | |
Some things that are the same size as each other
In my last post I introduced the notion of the size of an infinite set and proved two of the fundamental theorems about them.
In particular I pointed out that infinite sets could be the same size as proper subsets of themselves, and that they were strictly smaller than... | 4 | [
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-0.0107421875,
0.037353515... | 10,239 | 10239 | |
inequalties
November 3rd 2008, 07:06 AM #1
Newbie
Joined
Oct 2008
Posts
21
inequalties
1/4x - 1/2x>3
solve the inequality and sketch your solution on the number line. Use a test value to check your solution.
<---I---I---I---I---I---I---I---I--->
Help Please?
$\frac14x - \frac12x$>3
... | 4 | [
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0... | 10,240 | 10240 | |
Math Help
Last edited by yiyayiyayo; October 29th 2005 at 08:05 AM.
yiyayiyayo How do you find max's or min's? I assume this is from a Caculus course. So $f(x)=\frac{(\sin(x)+3)(\cos(x)+2)}{2}$ Now find f'(x) and set it equal to zero. There's your start.
" If f(x)=(sinx+3)(cosx+2)/2 Then f(x)max=? and what about f(x... | 5 | [
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-0.0791015625,
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0.04565429687... | 10,241 | 10241 | |
Vedic Mathematics Lesson 41: Cubic Equations
A cubic equation in one variable is an equation of the sort below:
ax^3 + bx^2 + cx + d = 0
where a ≠ 0. In other words, it is a polymomial of degree 3. In general, cubic equations have 3 roots. Every cubic equation with real coefficients, a, b, c and d, has at least one ... | 4 | [
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0.0732421875,... | 10,242 | 10242 | |
Towers of Hanoi
From Math Images
Towers of Hanoi
Field: Other
... | 5 | [
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-0.125,
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Undefined
Talk0
872pages on
this wiki
Undefined is a term used when a mathematical result has no meaning.
More precisely, undefined "values" occur when an expression is evaluated for input values outside of its domain.
• $\sqrt{-9}$ (if no complex numbers)
• $\ln(-4)$ (if no complex numbers)
• $\tan(\pi/2)$(... | 4 | [
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Latent Class Analysis with a Binary Distal Outcome
(Software available free to members. Register.)
LCA Outcome Probability Calculator
This page provides
• a step-by-step procedure for estimating the effect of latent class membership on a binary distal outcome, and
• an Excel calculator that can be modified and u... | 4 | [
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0.0027618408203125,
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0.01708984375,
0.0012054443359375,
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-0.0216... | 10,245 | 10245 | |
Procedures as General Methods
Next: Procedures as Returned Values Up: Formulating Abstractions with Higher-Order Previous: Constructing Procedures Using Lambda
Procedures as General Methods
We introduced compound procedures in section as a mechanism for abstracting patterns of numerical operations so as to ma... | 5 | [
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0.00762939453125,
... | 10,246 | 10246 | |
Math Forum Discussions
Re: An independent integration test suite
Posted: Apr 26, 2013 1:22 PM
Richard Fateman schrieb:
>
> I'm not sure what the relevance is of DERIVE's performance, since the
> program is neither supported nor distributed at this time, but the
> syntax looked almost identical to Macsyma (commercial,... | 5 | [
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-0.05419921875,
0.0277099... | 10,247 | 10247 | |
more of finding the general solution...
May 5th 2011, 04:42 PM #1
Senior Member
Joined
Aug 2009
Posts
349
more of finding the general solution...
ok so my problem is...
$\frac{dx}{dt}=3x-y$
$\frac{dy}{dt}=9x-3y$
ok so when i started the problem i found that lambda was 0.
well i found ... | 5 | [
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-0.06103515... | 10,248 | 10248 | |
Terms from Introductory Statistics
(from Weiss, D. J., Analysis of Variance and Functional Measurement: A Practical Guide, published by Oxford University Press, 2006)
A priori: Latin phrase for designated in advance. The usual statistical hypotheses are regarded as having been specified without reference to the data. ... | 4 | [
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0.08984375,
-0.003326416015625,
0.01385... | 10,249 | 10249 | |
How should we calculate Zone Rating? (Part II)
In a previous post, I looked at a variety of ways to calculate zone rating--a fielding statistic--using the new dataset that is freely available at The Hardball Times. Tonight, I'd like to report
some of the continued work I've done on this subject.
Introduction & Goals (... | 4 | [
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-0.06127929687... | 10,250 | 10250 | |
This problem is ridiculous
If, ab/(a+b) = 2 ac/(a+c)=5 bc/(b+c)=4 then find a+b+c. I'd really appreciate a step by step solution.
Hi there, We would solve for one variable and after that replace it in the original equation in order to have only one variable equation: You can solve for a or for b, I will show you the e... | 4 | [
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0.0341796875,
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0.09375,
-0.05029296875,
0.03515625... | 10,251 | 10251 | |
Homework Help
Posted by Anonymous on Friday, May 4, 2007 at 6:56pm.
The average of the test scores of a class of p students is 70, and the average of the test scores of a class of n students is 92. When the scores of both classes are combined, the average score is
86. What is the value of p/n?
the total for the first... | 4 | [
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0.05322265625,
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0.05322265625,
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0.01904296875,
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-0.068359375,
-0... | 10,252 | 10252 | |
Points and Interval question..
November 18th 2008, 03:16 PM
Fosite
Points and Interval question..
1. Find the points on the curve $9x^2 + 4xy + 6y^2 = 11$ that are farthest away from the origin.
I'm totally lost on this one.
and the second question:
Let $g(x) = 2x^5 - 10x^3 + 15x - 3$ . Find the i... | 4 | [
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0.072265625,
-0.016357421875,
-0.0708... | 10,253 | 10253 | |
sum of 8 squares
August 7th 2009, 11:02 PM #1
Super Member
Joined
Jan 2009
Posts
715
sum of 8 squares
If $X$ and $Y$ can be written as the sum of 8 squares , then their product is also the sum of 8 squares .
that means
$( a^2 + b^2 + c^2 + d^2 + e^2 + f^2 +g^2 + h^2)( A^2 + B^2 + C^2 + D^2 + E^... | 4 | [
-0.0172119140625,
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0.0830078125,
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-0.0220947265625,
-0.08984375,
0.087890625,
0.00830078125,
0.000499725... | 10,254 | 10254 | |
Homework Help
Posted by aj on Wednesday, July 6, 2011 at 10:52pm.
Solve the problem.
The profit made when t units are sold, t>, is given by Pē-36t+320. Determine the number of units to be sold in order for P>0 (a profit is made).
The future value of $6000 invested for 5 years at rate r, compounded annually, is given... | 4 | [
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-0.107421875,
-0.0541... | 10,255 | 10255 | |
Question on K3 Surface
up vote 3 down vote favorite
Is it possible to realize $K3$ surface as a ramified double cover of rational elliptic surface? If so, is there way to see an elliptic fibration structure on $K3$ from such cover? It seems to me one
can use the divisor $6H - 2E_{1} - \cdots - 2E_{9}$ and the class $3... | 5 | [
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-0.025634765625,
0.057373046875,
-0.0341796875,
0.039306640625,
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0.01373291015625,
-0.029052734375,
0.060302734375,
-0.064453125,
-0.07568359375,
0.005340576171875,
0.0673828125,
-0.052978515625,
-0.053955078125,
... | 10,256 | 10256 | |
Homework Help
Posted by Josh on Wednesday, March 6, 2013 at 10:03pm.
Find three consecutive intergers whose product is 33 larger than the cube of the smallest integer.
• math - Reiny, Thursday, March 7, 2013 at 9:06am
let the smallest be x
the middle one x+1
the largest x+2
x(x+1)(x+2) - x^3 = 33
... | 4 | [
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0.061279296875,
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0.00433349609375,
0.03125,
-0.016845703125,
-0.015869140625,
0.037597656... | 10,257 | 10257 | |
Help with prime number and modulo
June 19th 2010, 05:51 PM
chauhan
Help with prime number and modulo
Hi,
I have a question about performing a modulo with large prime numbers.
If I want to check if A^X + B^Y = C^Z, I was told to try the following filtering method:
(A^XmodN + B^YmodN)modN = C^ZmodN wit... | 4 | [
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0.0244140625,
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-0.01708984375,
-0.006500244140625,
... | 10,258 | 10258 | |
Nagel Point
Date: 04/15/2001 at 19:54:00
From: Max Levine
Subject: Nagel Point
What relation does the Nagel Point have to the incenter, centroid, and
Spieker point of a triangle, and why? Please give a hint at how to
prove it, but not necessarily the proof.
Date: 04/17/2001 at 04:59:38
From: Doctor Floor
Subject: ... | 5 | [
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0.03125,
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0.039794921875,
-0.035888671875,
-0.048583984375,
0.... | 10,259 | 10259 | |
Sphere inscribed in pyramid
September 21st 2012, 10:53 AM
aleschio
Sphere inscribed in pyramid
I need help:
Sphere is inscribed in right pyramid with equilateral triangle in base.We know :
angle of inclination = $\alpha$.
side of the triangle = a
Is it possible express the radius of sphere using ... | 4 | [
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0.0712890625,
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0.051025390625,
-0.009033203125,
-0.00457763671875,
0.02099609375,
0.090820312... | 10,260 | 10260 | |
Math Forum Discussions
Re: circle intersections...
Posted: Aug 29, 2013 7:07 PM
[cross-posted to {alt.math, sci.math}]
"Chris M. Thomasson" wrote in message
news:kvoe76$155$2@speranza.aioe.org...
I was wondering where I could find some programming
methods of clever circle intersection algorithms that use
a single sq... | 4 | [
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-0.0032806396484375,
0.00836181640625,
-0.036376953125,
0.07763671875,
-0.08496093... | 10,261 | 10261 | |
Busted!
“If toast always lands butter-side down, and cats always land on their feet, what happens if you strap toast on the back of a cat and drop it?”
– Steven Wright
I’m a fan of the TV show “Mythbusters.” In case you’re not familiar with it (have you been living in a cave?), they test common “myths” and “... | 5 | [
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0.015625,
0.0192871... | 10,262 | 10262 | |
Need help to understand how the slope was derived in this problem
January 15th 2011, 03:38 PM #1
Newbie
Joined
Jan 2011
Posts
12
Need help to understand how the slope was derived in this problem
I am kind of struggling to understand how the slope is derived in the following problem:
"Find the equatio... | 5 | [
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-0.060791015625,
0.06005859375,
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0.02... | 10,263 | 10263 | |
Time-periodic solutions for a driven sixth-order Cahn-Hilliard type equation
Abstract
We study a driven sixth-order Cahn-Hilliard type equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the Leray-Schauder fixed point
theorem, we prove the existence of ti... | 5 | [
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0.050048828125,
-0.00311279296875,
-0.111328125,
-0.1318359375,
0.0... | 10,264 | 10264 | |
Inequalities
June 2nd 2011, 11:31 PM
Punch
Inequalities
First part of the question says: Solve the inequality $\frac{(x+1)(4-x)}{(3x+1)^2}\geqslant 0$
And after solving, the answer is $-1\leqslant x\leqslant 4, xeq \frac{1}{3}$
Then the next part of the question says: Hence deduce the solution to the i... | 4 | [
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0.046142578125,
-0.0211181640625,
-0.01092529296875,
0.0595703125,
-0.0795898... | 10,265 | 10265 | |
Basic Trig Identities
Date: 09/15/97 at 03:14:55
From: Joyce
Subject: Basic Trig Identities
I am 15 and a junior in high school and currently taking a trig class.
It's only our 3rd week of school and I'm on question 1 and stuck
already. The problem asks:
Solve each of the following for values of (it's a zero with a... | 4 | [
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0.07470703125,
0.0087890625,
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0.005828857421875,
0.06884765625,
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0.1337890625,
-0.0322265625,
-0.02490234375,
-0.04833984375,
0.07080078125... | 10,266 | 10266 | |
Math Forum Discussions - What changes a NHST into a No-NHST?
Date: Dec 13, 2012 10:43 AM
Author: Luis A. Afonso
Subject: What changes a NHST into a No-NHST?
What changes a NHST into a No-NHST?
Some class of Statistics users claim that Null Hypotheses Statistical Tests are useless because a reject result does´nt in... | 4 | [
-0.08203125,
0.037841796875,
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0.0269775390625,
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0.0264892578125,
-0.04150390625,
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0.01953125,
-0.1010... | 10,267 | 10267 | |
length of a curve
find the length of the curve r(t)=2t^(3/2)i + cos(2t)j + sin(2t)k 0<t<1.
$x = 2t^{3 \over 2}$ $y = \cos (2t)$ $z = \sin (2t)$ then the length of the curve is $\int_{0}^{1} \sqrt{ \big(\frac{dx}{dt}\big)^2 + \big(\frac {dy}{dt}\big)^2 + \big(\frac{dz}{dt}\big)^2} \ dt$
In general s= integral (sqrt[(d... | 5 | [
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0.016845703125,
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0.04052734375,
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0.1552734375,
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0.06298828125,
-0.060546875,
-0.0101318359375,
-0.056884765625,
0... | 10,268 | 10268 | |
circle
Context
Topology
Basic concepts
Theorems
Examples
Manifolds and cobordisms
Contents
Idea
The circle is a fantastic thing with lots and lots of properties and extra structures. It is a:
and it is one of the basic building blocks for lots of areas of mathematics, including:
Definition
We consider the ci... | 4 | [
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0.022705078125,
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0.054931640625,
-0.02294921875,
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0.0272216796875,
0.060791015625,
-0.125,
0.035888671875,
-0.015869140625,
0.0284423828125,
-0.0556640625,
-0.0164794921875,
-0.1767578125,
-0.036865234375,
-0.04541015625,
... | 10,269 | 10269 | |
Is there any holomorphic version of the tubular neighborhood theorem?
up vote 15 down vote favorite
8
This question arised when I was studying Beauville's book 'Complex Algebraic Surfaces'.
Castelnuovo's theorem says that a smooth rational curve $E$ on an algebraic surface $S$ is an exceptional curve iff $E^2=-1$. Th... | 4 | [
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0.09375,
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-0.01806640625,
-0.0078125,
-0.099609375,
-0.04345703125,
0.016357421875,
0.04... | 10,270 | 10270 | |
Dynamical Systems
September 15th 2009, 01:24 AM #1
Junior Member
Joined
Dec 2008
Posts
70
Dynamical Systems
Hi, I am studying dynam systems and have missed some classes and am not sure if i'm on the right track or not,
Dynamical system;
dx/dt = rx - ( x/(1 + (x^2)))
when asked to calc the ... | 5 | [
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0.0284423828125,
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0.031982421875,
-0.0654296875,
0.0289306640625,
-0.0184326171875,
... | 10,271 | 10271 | |
. P
3. PHYSICS OF THE INTRACLUSTER MEDIUM
The intracluster medium (ICM) is plasma that is nearly fully ionized due to the high temperatures created by the deep dark matter gravitational potential. Hydrogen and helium, for example, are fully
stripped of their electrons. Heavier elements have retained only a few of thei... | 4 | [
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-0.045654296875,
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-0.0771484375,
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-0.... | 10,272 | 10272 | |
Solving trig equations- Is this right?
$sin(2A)=6sin(A)$ $2sinAcosA-6sinA=0$ $2sinA(cosA-3) = 0$ $sinA= 2$ or $cosA=3$ So, are there no solutions?
From the line $2\sin A\left(\cos A-3\right)=0$, you should get the two equations $2\sin A=0$ or $\cos A-3=0$. If $A\in\mathbb{R}$, the second one is never true (If $A\in\ma... | 4 | [
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0.042724609375,
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0.07080078125,
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0.0283203125,
0.0791015625,
-0.11181640625,
-0.042724609375,
0.004547119140625,... | 10,273 | 10273 | |
Boundary Value Problem
Date: 11/02/2002 at 16:07:07
From: Alex Brigden
Subject: Second Order linear Homogeneous DE's Boundary Value Problem
Differential Equation:
d^2y/dx^2 + P/EI*y = Eulers buckling DE for a pin-ended strut
Where:
P = P critical load for stability
E = Young's Modulus
I = Moment of Inertia
General... | 5 | [
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0.01507568359375,
0.0732421875,
0.03466796875,
-0.042724609375,
-0.0791... | 10,274 | 10274 | |
Factorials
April 27th 2008, 07:30 AM #1
Member
Joined
Dec 2007
From
Georgia
Posts
85
Factorials
I understand how to find them when numbers are involved. However, my problem is I can not figure out how to do it with n terms.
Example:
$\frac{(2n)!}{(2n-2)!}$
Any help will be greatly appr... | 4 | [
0.00811767578125,
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0.04638671875,
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-0.01177978515625,
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0.045654296875,
-0.0262451171875,... | 10,275 | 10275 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: sum of Fibonacci numbers ...
Replies: 0
sum of... | 4 | [
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-0.08837890625,
0.03271484375,
0.111... | 10,276 | 10276 | |
Posts about cryptography on mvngu
Archive for the ‘cryptography’ Category
I’m happy to announce the release of version 0.4 of the book Sage for High School. My primary concern in this version was to flesh out the chapter “Vectors and Matrices”. The PDF and source tarball
are available for download. The chapter outline... | 5 | [
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-0.02685546875,
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0.0228271484375,
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0.0751953125,
0.04541015625,
-0.0186767578125,
0.0040283203125,
-0.0947265625,... | 10,277 | 10277 | |
Volume of a Prismatoid
Date: 10/21/2008 at 10:05:49
From: Ravi
Subject: Volume of circular end pyramid
How can I calculate the volume of a pyramid for which the bottom end
is rectangular and the top end is circular? I'm totally confused.
Date: 10/21/2008 at 10:49:23
From: Doctor Peterson
Subject: Re: Volume of ci... | 4 | [
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0.059814453125,
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0.12890625,
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0.0615234375,
-0.02392578125,
0.0166015625,
-0.032958984375,
0.037353515625,
... | 10,278 | 10278 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Reals in different fields
Replies: 3 Last Post: Ap... | 4 | [
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0.03515625,
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0.07470703125,
0.08984375,
0.015869140625,
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0.05419921875,
0.0159912109375,
-0.0211181640625,
0.02734375,
0.005462646484375,
... | 10,279 | 10279 | |
Fourth-order Runge-Kutta for this equation.
October 18th 2009, 03:08 AM #1
Newbie
Joined
Oct 2009
Posts
6
Hi,
For my 3rd year project I'm meant to code different O.D.E solving algorithms and run them on GPU and compare the results to running them on CPU.
The first algorithm I am meant to code is... | 4 | [
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-0.037109375,
-0.0098876953125,
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0.06396484375,
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-0.064453125,
-0.007232666015625,
0.01446533203125,
0.0081787109375,
0.0... | 10,280 | 10280 | |
texm3x3vspec - ps
Performs a 3x3 matrix multiply and uses the result to perform a texture lookup. This can be used for specular reflection and environment mapping where the eye-ray vector is not constant. texm3x3vspec
must be used in conjunction with two texm3x3pad - ps instructions. If the eye-ray vector is constant,... | 4 | [
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-0.0166015625,
0.086914062... | 10,281 | 10281 | |
Question on Curvilinear Motion
February 6th 2011, 02:37 PM
bradycat
Question on Curvilinear Motion
This is from Applications of the Derivative under Curvilinear Motion:
So a rocket follows a path given by y=x-(1/90)x^3. Distance in km.
If the horizontal velocity is Vx=x, find the magnitude and direction... | 5 | [
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0.0717... | 10,282 | 10282 | |
Showing that f'(z) does not exist at any point (complex analysis)
May 4th 2009, 05:10 PM
nankor
Showing that f'(z) does not exist at any point (complex analysis)
I am having a hard time showing that f'(z) does not exist at any point for
f(z)=z-z(conjugate)
An explanation would be greatly appreciated,
... | 5 | [
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0.036... | 10,283 | 10283 | |
e Math
Students of class 10 can take 10th Grade Math help offered by TutorVista to make their learning method easier. This online learning help is organized under the guidance of subject experts. Hence,
these are worthy for students. This online learning help covers all essential topics, which are added in the class 1... | 4 | [
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-0.052978515625,
-0.013916015... | 10,284 | 10284 | |
Rule of Three
Date: 01/23/2002 at 10:08:38
From: Roger Staiger
Subject: Geometry
My grandfather's grandfather's father (born 1811) was a land surveyor
in Southeast Pennsylvania. I am fortunate to have the notebooks he
kept when he was studying to be a surveyor. He created these
handwritten note books in 1828-29 when... | 5 | [
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-0.014404296875,
-0.138671875,
0.0617675781... | 10,285 | 10285 | |
Parametric equation for a curve
March 22nd 2009, 05:41 PM #1
Junior Member
Joined
Nov 2007
Posts
41
Parametric equation for a curve
If a = 6 and b = 5, find parametric equations for the curve that consists of all possible positions of the point P in the figure, using the angle θ as the parameter. The lin... | 4 | [
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0.05126953125,
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0.134765625,
-0.16015625,
-0.0084838867... | 10,286 | 10286 | |
An identity in an arbitrary commutative ring
up vote 3 down vote favorite
This fact might be either trivial, wrong, or well known.
Let $R$ be a commutative ring. Let $u_1,\dots,u_{s-1},u_s\in R$ and $m,M\in R$. Let us assume that $m,M$ satisfy $$(m-u_1) \dots (m-u_{s-1})=0,$$ $$(M-m)(M-u_s)=0.$$
Question. Is it true... | 5 | [
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0.07861328125,
0.0... | 10,287 | 10287 | |
How can I compare regression coefficients across 3 (or more)
Stata FAQ
How can I compare regression coefficients across 3 (or more) groups?
Sometimes your research may predict that the size of a regression coefficient may vary across groups. For example, you might believe that the regression coefficient of
height
pr... | 5 | [
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0.0908203125,
-... | 10,288 | 10288 | |
Modelling with PDEs - Boundary Condition
November 20th 2011, 03:47 AM #1
Newbie
Joined
Nov 2011
Posts
9
Modelling with PDEs - Boundary Condition
I am working on this question for my Partial Differential Equation seminar and would like some help in understanding how to create boundary conditions.
An ... | 5 | [
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... | 10,289 | 10289 | |
Equation of hyperbola
March 22nd 2011, 10:47 AM #1
Junior Member
Joined
Oct 2010
Posts
27
Equation of hyperbola
write an equation of hyperbola having 3/2 as eccentricity. the point (1,-3) as focus and the line y=2 as its corresponding directrix
Last edited by BAHADEEN; March 22nd 2011 at 12:36 PM.
... | 4 | [
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-0.08789062... | 10,290 | 10290 | |
Metric Space, limit
January 14th 2009, 02:58 PM #1
Newbie
Joined
Nov 2008
Posts
23
Metric Space, limit
Let $(X, d)$ be a metric space. If $(x_n)$ is a sequence in $X$ which converges to both $a \in X$ and $b \in X$, prove that $a=b.$
Suppose x were not equal to y. Then d(x,y) is not 0. Apply the def... | 5 | [
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0.056884765625,... | 10,291 | 10291 | |
ib
#include <boost/math/distributions/non_central_beta.hpp>
namespace boost{ namespace math{
template <class RealType = double,
class Policy = policies::policy<> >
class non_central_beta_distribution;
typedef non_central_beta_distribution<> non_central_beta;
template <class RealType, class Policy>
class... | 4 | [
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-0.00193023681640625,... | 10,292 | 10292 | |
Tricky integral
February 4th 2009, 08:11 AM #1
Member
Joined
Dec 2008
Posts
228
Tricky integral
{ 4/[x sqrt(x^2 - 4)] dx
The answer is 2 arcsec (x/2) but can anyone show me the steps to in solving it? I tried partial decomposition and some trig substitution but nothing really worked.
Let ... | 5 | [
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0.083984375,
0.0490722... | 10,293 | 10293 | |
Social Choice and the Mathematics of Manipulation
More About This Textbook
Overview
Honesty in voting is not always the best policy. This is a book for mathematicians, political scientists, economists and philosophers who want to understand how it is impossible to devise a
reasonable voting system in which voters can... | 4 | [
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Connecting Graphs, Tables, and Equations - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Connecting Graphs, Tables, and Equations - Concept 16,694 views
In Algebra we do a lot of work with lines and their graphs. Connecting graphs, tables, and equa... | 4 | [
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When truths don't commute. Inconsistent histories.
A short introduction to Consistent Histories after some trivial appetizer
When the uncertainty principle is being presented, people usually – if not always – talk about the position and the momentum or analogous dimensionful quantities. That leads most people to eithe... | 4 | [
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0.08... | 10,296 | 10296 | |
square numbers
May 2nd 2010, 06:48 AM
coolminty
square numbers
Hey!
I am trying to solve this problem...
2^2+3^2+6^2=7^2
and
3^2+4^2+12^2=13^2
(^2 represents squared)
I have found out that the first two numbers need to be consecutive. The third number is the product of the first two... | 4 | [
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Homework Help
Posted by JP on Sunday, April 15, 2007 at 4:55pm.
Carbonyl fluoride, COF2, is an important intermediate for organic fluorine compounds. It can be prepared by the following reaction:
CO2(g) + CF4(g) <==> 2COF2(g)
At 1000*C, K for this reaction is .50. What are the partial pressures of all the gases at e... | 4 | [
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Power Series/Differential Equations
November 10th 2008, 10:41 AM #1
Junior Member
Joined
Sep 2008
Posts
58
Power Series/Differential Equations
Find the first four nonzero terms in each of two linearly independent power series solutions about the origin.
What do you expect the radius of convergence t... | 4 | [
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... | 10,299 | 10299 |