content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
prove by wilson theorem
(i) By Wilson's Theorem: $(p-1)!\equiv{-1}(\bmod.p)$ $(p-1)(p-2)...\left(\frac{p+1}{2}\right)\cdot{\left(\frac{p-1}{2}\right)!}\equiv{-1}(\bmod.p)$ But note that $p-1\equiv{-1}(\bmod.p)$$p-2\equiv
{-2}(\bmod.p)$ and so on... $\frac{p+1}{2}\equiv{-\frac{p-1}{2}}(\bmod.p)$ Thus: $(-1)^{\left(\frac... | 4 | [
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Base change for the Gauss-Manin sheaf
up vote 3 down vote favorite
1
I want to see the following thing:
$\ \ $If $X$ is a smooth geometrically connected scheme over a field $k$ of characteristic 0, $U\subseteq X$ is a non-empty open, $(E,\nabla)$ is an integrable connection on $X/k$, then $H_{DM}^0(X/
k,(E,\nabla))\h... | 5 | [
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-... | 38,901 | 38901 | |
Characterisation of positive elements in l¹(Z)
up vote 2 down vote favorite
1
Consider the Banach $^* $-algebra $\ell^1(\mathbb Z)$ with multiplication given by convolution and involution given by $a^*(n)=\overline{a(-n)}$.
I would like to find nice necessary and sufficient conditions for an element $b\in\ell^1(\math... | 4 | [
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Powers of a matrix
December 8th 2009, 10:54 AM
Volcanicrain
Powers of a matrix
Hi!
If I have the following matrix, call it B, (3x3 with entries separated by commas)
8, 12, 0
0, 8, 12
0, 0, 8
How can I find a matrix A such that A^3 = B?
Since B is not diagonalizable I have no idea how to... | 5 | [
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Lines Parallel to Diameters
July 6th 2011, 04:33 AM
ughprecalc
Lines Parallel to Diameters
I'm pretty sure I understand these but still having trouble with some...
So if someone could help me?
Find and equation of the line that contains a diameter of a circle x^2+y^2+2x-4y=4,
and which is parallel t... | 5 | [
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0.0... | 38,904 | 38904 | |
Collinear points formed by a measurement on a square's perimeter
July 29th 2011, 01:20 AM #1
Junior Member
Joined
Jul 2011
Posts
53
Collinear points formed by a measurement on a square's perimeter
Let a square ABCD with sides of length 1 be given. A point X on BC is at distance d
from C, and a point ... | 4 | [
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... | 38,905 | 38905 | |
Homework Help
Posted by anon on Sunday, February 20, 2011 at 11:30pm.
okay so i have this trigonometry problem were i HAVE to use logarithms.
Now this is my work but can u help me solve it using logarithms.
Find the area of the following triangles:(use logarithms)
1) c=426, A=45degrees 48' 36",and B=61degrees 2' 13... | 4 | [
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How far is a set of vectors from being orthogonal?
up vote 14 down vote favorite
5
Given some vectors, how many dimensions do you need to add (to their span) before you can find some mutually orthogonal vectors that project down to the original ones?
Or, more formally...
Suppose $v_1,v_2,\ldots,v_k \in \mathbb C^m$.... | 4 | [
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Propagation of error
At the onset, this was strictly an excercise of my own curiosity and I didn't imagine writing this down in any form at all. As someone who has done some modelling work in the past, I'm embarrassed to
say that I had never fully grasped how one can gauge the error of a model output without having to ... | 5 | [
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0.136... | 38,908 | 38908 | |
Find eq of hyperbola
Find the eq of Hyperbola whose eccentricity is $\sqrt{2}$ and the distance between the focii is 16.
For a hyperbola, $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$, eccentricity = $\frac{\sqrt{a^2 + b^2}}{a} = \sqrt{2}$ the foci are at a and -a, so distance between the two foci is 2a. $2a = 16$ $\
theref... | 4 | [
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Prove span
January 25th 2010, 05:27 PM #1
Newbie
Joined
Jan 2010
Posts
1
Prove span
It's an easy question...
Let $u = [1, 2]^T$ and $v = [1, -2]^T$
Show that $[a, b]^T$ is in Span{u,v} for all a and b. In other words $R^2$ = Span{u,v}
$\begin{bmatrix}<br /> 1 & 1\\ <br /> 2 & -2<br /> \end... | 5 | [
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Jordan-Hölder theorem for subfactors?
up vote 4 down vote favorite
2
All the subfactors $(N\subset M)$ are irreducible and finite index inclusions of II$_1$ factors.
First recall that in this paper, D. Bisch characterizes the Jones projections $e_K$ of the intermediate subfactors $(N \subset K \subset M)$ as proj... | 4 | [
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On the independence of the Kurepa Hypothesis
up vote 4 down vote favorite
1
Kurepa Hypothesis says there is a Kurepa tree, which is a $\omega_1$-tree has at least $\omega_2$ many branches. It is known that beginning from a model with an inaccessible cardinal $\kappa$, after
collapes $\kappa$ to $\omega_2$ using the Le... | 5 | [
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please need help-urgent
bobby77 $\int dx \, \sqrt{x} \, csc^2 \left ( x^{3/2} \right )$ Let $y = x^{3/2}$ Thus $dy = \frac{3}{2} \sqrt{x}\, dx$ $\int dx \, \sqrt{x} \, csc^2 \left ( x^{3/2} \right ) = \frac{2}{3} \int dy \,
csc^2(y)$ $= -\frac{2}{3}cot(y) = -\frac{2}{3} cot \left ( x^{3/2} \right )$ -Dan
bobby77 $\fra... | 5 | [
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Bernoulli number formula involving roots of Taylor polynomial of $\exp-1$
up vote 4 down vote favorite
5
Please prove, give more symbolic or numeric support (counterexample!?), simplify or drop me a reference (or some vague hunch).
We have $$B_n = n!\sum_{\lambda} \frac{\lambda^{2n}}{p'_n(\lambda)}$$ where $\lambda$ ... | 5 | [
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number theory
October 20th 2013, 11:39 AM #1
Newbie
Joined
Sep 2013
From
africa
Posts
20
number theory
need some help to prove that for each n, there are n consecutive integers, each of which is divisible by perfect square larger than 1.
Re: number theory
Try induction? Only consider squares of... | 5 | [
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Continuity of f(x)
April 3rd 2012, 06:50 PM
Kingdu8457
Continuity of f(x)
Being new to continuity, how do I use the definition of continuity to show that
f(x) = sqrt(x) is continuous on the domain of f?
Any help would be very appreciated!
April 3rd 2012, 10:41 PM
princeps
Re: Continuity of f(x)
Apr... | 4 | [
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Second Order Partial Differential Equation (Wave Eqn)
March 29th 2009, 09:24 AM
harkapobi
Second Order Partial Differential Equation (Wave Eqn)
Hi,
i have this question:
$u_{tt}$ = $c^2u_{xx}$
Find u(x,t) the deviateion from equilibrium for a stretched string fixed at its ends x=0 and x= pi. Initia... | 4 | [
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Math Forum Discussions - Multiplication of Numbers made with digit 1
Date: Apr 28, 2013 1:40 PM
Author: Doctor Nisith Bairagi
Subject: Multiplication of Numbers made with digit 1
From: Doctor Nisith Bairagi
Subject: Multiplication of Numbers made with Digit 1
Date: April 28, 2013
(alt.math.recreational.independent)
>>... | 5 | [
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Counting Special Graphs
up vote 5 down vote favorite
1
Do we have any formula for counting the number of graphs with $n$ vertices, that has exactly $k$ vertices with degree $d$ and the other vertices have different and disjoint degrees? (Different and
disjoint are the same, $d_1$ is different or disjoint rather than $... | 4 | [
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... | 38,919 | 38919 | |
differentiate and simplify #5
August 7th 2009, 06:42 AM #1
Senior Member
Joined
Nov 2008
Posts
425
differentiate and simplify #5
Can someone please check my answers below for accurateness? The instructions are: Differentiate and simplify.
1) y=(2x^2+3x-1)(3x^2-5x-3)
y'=(4x+3)(3x^2-5x-3)+(2x^2+3x... | 4 | [
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Conservapedia
Prime number
From Conservapedia
A prime number is a natural number greater than 1 that is divisible by only 1 and itself. Described another way, a prime number has only two factors, 1 and itself. The first few prime numbers are 2,
3, 5, 7, 11, 13 .... The opposite of a prime number is a highly composit... | 4 | [
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Topic: fminunc + transformation
Replies: 5 Last Post: Apr... | 5 | [
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... | 38,922 | 38922 | |
Geometric proof
February 28th 2009, 10:22 AM #1
Junior Member
Joined
Sep 2008
Posts
44
Geometric proof
Hello everyone,
Could someone please help me on this problem?
Prove: If two straight lines (line segments) bisect each other forming right angles, any point on either of them is equal distance... | 4 | [
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Commutative Noetherian Domains of Krull Dimension One
up vote 2 down vote favorite
1
k is an alegraically closed field and A is a commutative k-algebra. We also know that A is a Noetherian domain and its Krull dimension is one. Are there any necessary and sufficient conditions on A
under which A becomes finitely gener... | 5 | [
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... | 38,924 | 38924 | |
The free group $F_2$ has index 12 in SL(2,$\mathbb{Z}$)
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there someone who can give me some hints/references to the proof of this fact?
I'm not so sure this question... | 5 | [
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Abelian Factor Group
November 29th 2007, 09:17 PM
temp31415
Abelian Factor Group
Question: Let G be a group and N be a normal subgroup of G. Show that the factor group G/N is abelian iff aba^-1b^-1 is in N for all a,b in G.
If G/N is abelian then Na*Nb = Nb * Na and Naa^-1bb^-1 is in N and so Naba^-1b^-1 is... | 5 | [
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Number theory question 1-3
Show that if $2^{m} + 1$ is an odd prime, then $m = 2^{n}$ for some n in natural integers.
Simple proof. x^(2n + 1) + 1 has a factorization, as (x + 1) * (x^2n - x^(2n - 1) + x^(2n - 2) - ....). Consider x = 2. If 2^m + 1 is an odd prime, then that means, it does not have such
factorization ... | 5 | [
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0.0139160156... | 38,927 | 38927 | |
Length and area #3
October 14th 2010, 12:20 AM #1
Newbie
Joined
Jul 2010
Posts
24
Length and area #3
2. A circle is inscribed in square. One point of a circle is 1 and 2 away from the two closest sides of the square. Find the area of the square.
3. A certain city block is in the form of a parallelog... | 4 | [
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0.0225830078125,
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0.00146... | 38,928 | 38928 | |
Solving a linear congruence
November 29th 2009, 04:30 PM #1
Solving a linear congruence
Hi again,
From practice questions for upcoming test:
Solve the linear congruence: 4x $\equiv$ 5 (mod 11)
First find the inverse, 11 = (2)(4) + 3; 4 = (1)(3) + 1
so 3 = 11 + (-2)(4) and 1 = 4 - 3 = 4 - [ (1)... | 5 | [
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0.02880859375,
-0.002120... | 38,929 | 38929 | |
Homomorphism and order of groups
October 15th 2011, 10:43 PM
H12504106
Homomorphism and order of groups
Question: If $f: G \rightarrow H$ is a homomorphism and $gcd(\mid G \mid, \mid H \mid ) = 1$, prove that $f(x) = 1$, $\forall x \in G$.
I am able to write down some simple results but is unable to piece t... | 5 | [
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-0.0419921875,
0.023437... | 38,930 | 38930 | |
entire function
November 11th 2008, 07:05 AM #1
Member
Joined
Nov 2006
Posts
142
entire function
Let f(z) be an entire function and f(z) = 0 on a subinterval a < x < b of the real axis. Show that f(z) = 0 for all z in C (set of complex numbers). Conclude that if f and g are entire functions
and that ... | 5 | [
-0.051513671875,
0.0625,
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-0.011474609375,
-0.1005859... | 38,931 | 38931 | |
quadratics help needed
January 1st 2009, 08:45 AM #1
Member
Joined
Nov 2008
Posts
79
quadratics help needed
I need to solve for x in these two question;
x: -3x2 + 4x = 4
x: x2 + 3x + 4 = 0
I'm quite sure there will be two awnsers for each question
I tried plugging in the numbers into thi... | 4 | [
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-... | 38,932 | 38932 | |
triangle - More...
Inscribed equilateral triangle - More...
We have already seen in the parent problem how to generate all equilateral triangles inscribed in a given ABC.
An other way of getting the whole family of these triangles is from the "isodynamic centers".
This will give us a different way to construct the ... | 4 | [
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0.052978515625,
0.0113525390625,
-0.01287841... | 38,933 | 38933 | |
Even Great Mathematicians Guess Wrong
April 13, 2011
How Hamilton spent ten years on an impossible search
William Hamilton, Sir William Rowan Hamilton, was one of the great mathematician-physicists of the 1800’s. He invented a key way to look at physical systems—now called Hamiltonian mechanics—that is
used in most... | 4 | [
-0.12451171875,
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0.078613... | 38,934 | 38934 | |
Taylor Series
November 3rd 2010, 09:38 AM #1
Newbie
Joined
Nov 2010
Posts
1
Taylor Series
Hello all,
Unfortunately I was absent during one of my classes this week when the professor covered Taylor Series. i have gone through the book and finished all of the first section of the homework. The
seco... | 5 | [
-0.017822265625,
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... | 38,935 | 38935 | |
help with limits
Rewrite: $\lim_{x\to \infty} \sin\left(\frac{1}{x}\right)\cdot x=\lim_{x\to \infty} \frac{\sin\left(\frac{1}{x}\right)}{\frac{1}{x}}$ You can use the substitution, let $\frac{1}{x}=u$. If $x\to \
infty$ then $u \to ?$, afterwards you should recognize a standard limit.
sin(h) / h as x-> 0 should be 0, ... | 5 | [
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0.07666015625,
-0... | 38,936 | 38936 | |
SoYouThinkYouAreAGenius?
Okay, let us call AB =x; AD = y; CE = u and CF = v In triangle ABE: (1/2)(x)(y-u) = 4 y-u = 8/x u = y -(8/x) ---------** In triangle ADF: (1/2)(y)(x-v) = 5 x-v = 10/y v = x -(10/y) --------** In
triangle CEF: (1/2)(u)(v) = 3 u*v = 6 Substitutions, [y -(8/x)]*[x -(10/y)] = 6 xy -10 -8 +80/(xy) =... | 4 | [
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... | 38,937 | 38937 | |
applied mathematics
April 20th 2009, 10:34 AM
grettadoty
applied mathematics
find the equation of Line L in standard form L is parallel to Y=1/3X. Both lines are diagonal to each other. The other points are (2,5)
April 20th 2009, 11:41 AM
masters
Quote:
Hi grettadoty,
Quote:
Find the equa... | 4 | [
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0.0634765625,
-0.1435546875,
-0.... | 38,938 | 38938 | |
Math Forum Discussions
Topologising a Group
Posted: Nov 21, 2012 11:28 PM
Let F be a filter over a group G, with e in /\F.
For all g in G, let B_g = { gU | g in G }.
Notice that B_g can be taken as a base for g
and B = \/{ B_g | g in G } as a base for a topology for G.
Accordingly give G the topology tau, generated ... | 4 | [
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0.037353515625,
0.00002694129943847... | 38,939 | 38939 | |
Optimization problem
December 1st 2011, 06:52 AM #1
Newbie
Joined
Nov 2011
From
Grand Rapids, Michigan
Posts
2
Optimization problem
This problem is giving me some trouble. It's irritating because it seems so easy.
The question is
"The figures are made of rectangles and semicircles.
a.) ... | 5 | [
0.0478515625,
0.059326171875,
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0.0252685546875,
0.00... | 38,940 | 38940 | |
Prove by using Binomial Theorem
September 19th 2010, 12:08 PM #1
Newbie
Joined
Jan 2010
Posts
4
Prove by using Binomial Theorem
$\sum i \binom{n}{i}=n2^{n-1}$
The summation is from i=0 to n but I couldnt figure out how to put that in with latex.
I tried expanding out the Left Side but that didn... | 4 | [
0.037841796875,
0.0007171630859375,
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0.021240234375,
0.027343... | 38,941 | 38941 | |
Prove Primitive over Z_5
December 6th 2008, 11:44 AM
mandy123
Prove Primitive over Z_5
Prove that polynomial x^2+x+2 is a primitive over Z_5 (The polynomial p(x)=x is the generator of multiplicative group of the field
Z_5[x]/<x^2+x+2>)
Don't have a clue?
December 6th 2008, 12:44 PM
NonCommAlg
Qu... | 4 | [
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0.0478515625,
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-0.044921875,
-0.065... | 38,942 | 38942 | |
q-series related to d(n)=# of divisors of n
up vote 1 down vote favorite
1
Let $\sigma_m (n)=\sum_{d|n}d^m$, and $d(n)=\sigma_0(n)$ as stated in the title.
My question is: Does the q-series $f(q)=\sum_{n\ge 1} d(n)q^n$ gives something like a modular form (i.e. with some kind of identity under the action of $SL_2$) wh... | 5 | [
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0.01348876953125,
0.0299072265... | 38,943 | 38943 | |
profit maximising monoloys
July 17th 2009, 04:09 AM #1
Junior Member
Joined
Mar 2009
Posts
32
profit maximising monoloys
can anyone help?
A monopoly firm has a total revenue function:
and a total cost function:
where R, C and Q are total revenue, total cost and quantity respectively.
(a... | 4 | [
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0.00604248046875,
... | 38,944 | 38944 | |
Base Six
Shack's Base Six Dialectic
There must be a better way
This arose out of my familiarity, typical of US citizens, with both the metric system and the English system of measurement. Naturally, there are some areas where the metric system is the obvious
choice, most notably scientific measurements. On the other ... | 4 | [
0.002777099609375,
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-0.0673828125,
... | 38,945 | 38945 | |
Math Help
December 23rd 2010, 05:40 PM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
uu_{xy}-u_{x}u_{y}=0
Find the general solution.
$uu_{xy}-u_{x}u_{y}=0$
My PDE book doesn't offer explanations so I have no clue on how to approach this problem.
You probably... | 5 | [
0.01214599609375,
-0.037841796875,
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-0.125,
-0.0693359375,
-0.06... | 38,946 | 38946 | |
[Algebra?(rationalize)] I've never learnt this
I never been taught this and it's on the exam papers, how do I do this?
You'll need to get it of the form $\frac{2(x^2 - 2x - 3) + R}{x^2 - 2x - 3}$ where $R$ is some remainder... $\frac{2x^2 + 2x + 1}{x^2 - 2x - 3} = \frac{2x^2 - 4x - 6 + 6x + 7}{x^2 - 2x - 3}$ $= \frac
... | 5 | [
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... | 38,947 | 38947 | |
Summations and Recurrences
Consider the sum
[]
For example, we have
[]
and so on. Is S[n] ever an integer for any posi... | 5 | [
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... | 38,948 | 38948 | |
Fitting a mesh to a density function
up vote 7 down vote favorite
1
Suppose I have a probability density function defined on a region in the plane (in my case, the pdf is of the form $f(x) = \alpha\|x\|^{-\beta}$, and the region is the unit disk). For large $N$, is
it possible to place $N$ points $X_1,\dots,X_N$ in th... | 4 | [
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0.0162353515625,
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0.08935546875,
-0.068... | 38,949 | 38949 | |
two calculus trig integral problems!
$\int tan^{2}(3x)sec^{4}(3x)dx$ Let $u=3x, \;\ \frac{du}{3}=dx$ $\frac{1}{3}\int tan^{2}(u)sec^{4}(u)du$ Rewrite by using the identity $sec^{2}(u)=tan^{2}(u)+1$ $\frac{1}{3}\int sec^{2}(u)tan^{2}(u)
du+\frac{1}{3}\int tan^{4}(u)sec^{2}(u)du$ Now, a simple sub and it works out well t... | 4 | [
-0.00848388671875,
0.031494140625,
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0.034423828125,
-0.05029296875,
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0.01519775390625,
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0.02734375,
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0.07666015625,
0.0145263671875,
0.01055908203125,
-0.01953125,
0.0263... | 38,950 | 38950 | |
a problem related borel cantelli's lemma
May 29th 2009, 03:31 AM
bogazichili
a problem related borel cantelli's lemma
A coin is tossed indefinitely. Assume that the tosses are independent and let p be the probability of heads in each toss. For each k = 0, 1, . . . let A_k be the event that k consecutive heads
... | 4 | [
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0.05859375,
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-0.0289306640625,
-0.0380859375... | 38,951 | 38951 | |
displacement and distance
December 22nd 2008, 02:06 PM
vassago
displacement and distance
if i had a velocity function how would i find the displacement and distance traveled? the distance i'm guessing is an arclength but how do i find displacement? say $v(t) = 2t^2+3t+1$ and interval
[-3,8].
December 22nd 2... | 5 | [
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0.059326171875,
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-0.0225830078125,
0.042236328125,
0.... | 38,952 | 38952 | |
Conjugacy of nilpotent injectors in soluble groups
up vote 1 down vote favorite
2
Hello,
I was wondering if anyone is aware of an elementary proof of the claim in the title, assuming the existence of nilpotent injectors in soluble groups. By elementary I mean a proof that does not
involve any recourse to Fitting clas... | 4 | [
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0.0208740234375,
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... | 38,953 | 38953 | |
Math Forum: Teacher2Teacher - Q&A #3784
View entire discussion
[<<prev]
From: Pat Ballew (for Teacher2Teacher Service)
Date: Apr 29, 2000 at 02:45:12
Subject: Re: Tree diagram: Four Children (2B's/2G's any order)
Yes, and so simple it makes you laugh out loud.... The solution uses
something called the binomial theo... | 4 | [
0.0400390625,
0.0240478515625,
0.046630859375,
0.031494140625,
-0.05078125,
-0.040283203125,
0.034423828125,
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0.007080078125,
0.060791015625,
0.0279541015625,
-0.052978515625,
0.054443359375,
-0.00811767578125,
0.046875,
0.1162109375,
0.0625,
-0.0301513671875,
-0... | 38,954 | 38954 | |
Show a nonempty finite subset of R has a max and min
August 31st 2011, 01:22 PM #1
Show a nonempty finite subset of R has a max and min
Show that a nonempty finite subset of the Real Numbers has both a maximum and minimum.
I know I can use induction to solve this but I seem to be having some problems getting... | 4 | [
-0.0230712890625,
0.0634765625,
-0.0133056640625,
-0.00946044921875,
0.056884765625,
0.07763671875,
0.0546875,
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0.1064453125,
0.027587890625,
0.035888671875,
-0.047119140625,
0.10107421875,
-0.01... | 38,955 | 38955 | |
Help needed on two questions!
December 11th 2010, 10:05 AM #1
Junior Member
Joined
Dec 2010
Posts
61
Help needed on two questions!
Hi, i have recently been trying to complete an assignment of 10 mathematical questions. I have managed to answer 8 of the 10 questions but unfortunately have been unable to a... | 4 | [
-0.0732421875,
0.003753662109375,
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0.004638671875,
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0.00164794921875,
-0.052734375,
-0.004638671875,
-0.117187... | 38,956 | 38956 | |
Number of paths equal less than equal to a certain length
up vote 3 down vote favorite
Hey,
I need to count the number of paths from node $s$ to $t$ in a weighted directed acyclic graph s.t. the total weight of each path is less than or equal to a certain weight $W$. I have an algorithm to
do it in $O(nW)$ using dyna... | 4 | [
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0.11767578125,
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0.007110595703125,
0.008544921875,
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0.03662109375,
0.052001953125,
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0.09521484375,
0.05126953125,
... | 38,957 | 38957 | |
Rate change
July 3rd 2010, 07:24 PM #1
MHF Contributor
Joined
Dec 2007
From
Ottawa, Canada
Posts
3,082
Thanks
66
Rate change
Code:
0 rate=9%=u% 1000.00=a
k rate=12%=v%
11=n 3000.00=b
Ok, here's the dope:
1000 bucks deposited in savings account... | 5 | [
-0.00836181640625,
0.07861328125,
-0.053955078125,
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0.058837890625,
-0.0551... | 38,958 | 38958 | |
Could anyone help on this one ?
November 4th 2010, 10:01 AM #1
Newbie
Joined
Nov 2010
Posts
5
Could anyone help on this one ?
I have to derive two equations in order to get a Merit Index.
so the question is how you derive the
m=b^2*l*r , r=density
and Fy = (b^4/12 /(b/2) * sy/(m/b^2*r)
... | 4 | [
0.06591796875,
0.048583984375,
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0.00141143798828125,
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0.04150390625,
-0.064453125,
-0.006591796875,
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0.0322265625,
0.08349609375,
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0.07958984375,
-0.05322265625,
0... | 38,959 | 38959 | |
Algebra for Equivalence
Date: 11/12/2011 at 17:48:42
From: Steven
Subject: Why do I lose solutions when solbing trig equations?
My teacher explained in class that I would lose possible solutions to
trigonometric equations if I divided by a function or took the square root
of a function.
I want to avoid any kind of l... | 4 | [
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0.0615234375,
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0.01953125,
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0.03515625,
-0.129... | 38,960 | 38960 | |
[SOLVED] Log Function
February 10th 2009, 05:26 AM
MathLoser
[SOLVED] Log Function
Real variables:
ln(2+y) = 5ln(3-x) -2sqrtx
(where sqrtx = the square root of x sorry!)
I need to find the range of values of x and y for which they're defined and express as y = f(x)
Can someone show me how to ... | 5 | [
0.00567626953125,
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0.0242919921875,
0.07763671875,
0.0274658203125,
-0.1064453... | 38,961 | 38961 | |
Line bundles in abelian $\otimes$-categories
up vote 4 down vote favorite
1
By an abelian $\otimes$-category I mean a symmetric monoidal category $(\mathcal{A},\otimes,\mathcal{O})$, such that $\mathcal{A}$ also is an abelian category and for every $M \in \mathcal{A}$ the
functor $M \otimes - $ is cocontinuous (i.e. r... | 5 | [
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0.04296875,
0.0122680664... | 38,962 | 38962 | |
Need some help with simple problem.
September 14th 2011, 06:13 PM
WannaBSmart
Need some help with simple problem.
"Tyler writes this equation to solve a problem:
3(b - 4) = 9 + 6b,
He divides both sides of the equation by 3 to get
b - 4 = 3 +2b
so he concludes that
b= -7."
Okay, wel... | 4 | [
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0.045654296875,
-0.0407... | 38,963 | 38963 | |
Please Need Help Fast World Problems
December 13th 2006, 10:57 PM #1
Newbie
Joined
Dec 2006
Posts
4
I am suppose to list variables and give equations. I have six word problems in my homework that I can not seem to figure out I know that of at least 3 that have to use the supply and demand model
and an... | 4 | [
0.029296875,
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Are metrics borel measurable functions?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let (X,d) be a polish space. Does the metric d have to be measurable (regarding the Borel sigma-algebra in the product sp... | 5 | [
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0.0625,
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0.08154296875,
-0.03125,
-0.1152... | 38,965 | 38965 | |
find formulas
November 7th 2009, 05:17 AM
ohadch
find formulas
Find closed formulas for the following two sums:
1 + cos
X + cos 2X + . . . + cos nX
sin
X + sin 2X + . . . + sinnX
Hint: Use the sum of the geometric series with the general term eikX.
November 7th 2009, 08:00 AM
to... | 5 | [
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0.0771484375,
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0.02880859375,
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0.005828857421875,
-0.... | 38,966 | 38966 | |
another integral w/ sub u
December 5th 2011, 07:09 PM #1
Member
Joined
Sep 2011
Posts
106
Thanks
1
another integral w/ sub u
I am trying not to use formulas..
$\int_{}{}\ (^4\sqrt{3x+5}) (x) dx$
Answer : $\frac{4}{81} (3x+5)^{\frac{5}{4} }(3x-4)+C$
I am pretty sure I am on the right tr... | 5 | [
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0.07470703125,
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0.07421875,
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0.0299072265625,
0.00738525390625,
0.0... | 38,967 | 38967 | |
Not Principal Ideal
March 30th 2011, 10:03 PM #1
Member
Joined
Mar 2009
Posts
76
Not Principal Ideal
How would you prove it's not a P.I.D. by using I?
Let I is not a principal ideal of
I've been trying this for a long time... and I'm just saying okay it has this form, and then I multiply it by ... | 5 | [
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0.0283203125,
-0.031494140625,
-0.03833007812... | 38,968 | 38968 | |
Fourier Inversion
February 22nd 2010, 12:51 PM
Deadstar
Fourier Inversion
Given that f is a function of moderate decrease, $\hat{f}(\xi)$ is continuous and also satisfies,
$|\hat{f}(\xi)| \leq \frac{C}{|\xi|^{1+\alpha}}$.
Use the inversion theorem to derive an expression for $f(x+h) - f(x)$. It should ... | 4 | [
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0.000518798828125,
0.0231... | 38,969 | 38969 | |
Math Help
August 26th 2009, 08:12 PM #1
Newbie
Joined
Aug 2009
Posts
1
Discrete
I'm doin revision questions and I came along this question:
CAn anyone help ?
1. Suppose that the discrete random variable X has a geometric distribution with parameter p (0 < p < 1). In other words, suppose that
... | 5 | [
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0.047607421875,
0.0349... | 38,970 | 38970 | |
help please-hard question
March 25th 2013, 11:24 PM
mathkid182
help please-hard question
If 20 × 20 = 400, execute the difference of two squares to find 19×21?
I have no idea how to do this. any help would be great please?
March 25th 2013, 11:40 PM
Gusbob
Re: help please-hard question
March 26th 2013, 1... | 4 | [
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0.010... | 38,971 | 38971 | |
exponential growth/decay word problem
June 8th 2008, 01:07 AM
cityismine
exponential growth/decay word problem
The department of health in a developing country has issued a warning that the number, N, of reported cases of a certain disease is increasing exponentially at an annual rate of 9%. The first
year t... | 4 | [
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-0.07861... | 38,972 | 38972 | |
Lower Bound in Expected Value Problem
July 10th 2010, 03:02 AM
himanshubahmani
Lower Bound in Expected Value Problem
E[min (t, sigma y(i))] >= Sigma [q(i)/p(i)]
or in other words
E[min (t,i1+i2+i3+.........+in)*Pr(i1)Pr(i2)...........P r(in)]
i1,i2,i3,,,,,,,in goes from 1 to infinity
where y i... | 4 | [
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0.0150146484375,
-0.059326171875,
... | 38,973 | 38973 | |
Write down the equation in spherical and cylindrical coordinates.
March 20th 2012, 07:57 PM
linalg123
Write down the equation in spherical and cylindrical coordinates.
x^2 + y^2 + z^2 = 2.
Not sure how to start this problem. If someone could point me in the right direction that would be great.
Thanks
... | 5 | [
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-0.055419921875,
-0... | 38,974 | 38974 | |
FILE - JustAnswer Ask a Question_ Get an Answer ASAP_
Question 1 5 points Save
The following table relates the grades in an advanced mathematics course
to the student's year in college:... | 4 | [
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0.0196533203125,
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0.125,
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-0.080078125,
-0.06... | 38,975 | 38975 | |
Fourier Transform
February 13th 2009, 04:10 PM #1
Newbie
Joined
Feb 2009
Posts
2
Fourier Transform
Hi there,
Just wondering if anyone can give me some clues as to how to go about getting the fourier transform using the formula integral from - infinity to + infinity f(t) e^-iwt dt
f(t) = { 1 - t... | 5 | [
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0.00775146484375,
-0.022338... | 38,976 | 38976 | |
Find Limit
factorize the denominator as (sqrx-1)(sqrx+1) then simplify and the limit is in front of you.........1/2 MINOAS
You can use l'hopital's rule, since you get 0/0 by direct substitution. Which says: $\lim \frac{f(x)}{g(x)} = \lim \frac{f'(x)}{g'(x)}$ as long as the first limit is 0/0 or infinity/infinity
There... | 5 | [
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0.0277099609375,
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0.0498046875,
-0.0751953125,
-0.033935546875,
0.0301513671875,
-0.023559... | 38,977 | 38977 | |
Cardinality of cofinal set of normal functions $f \colon \omega_1 \to \omega_1$
up vote 4 down vote favorite
What is the cardinality of the set $F$ of all normal functions $f \colon \omega_1 \to \omega_1$, where $\omega_1$ is the first uncountable ordinal? What is the least cardinality of a subset of $F$
such that eve... | 5 | [
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0.023193359375,
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0.045166015625,
0.06591796875,
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0.043212890625,
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0.01190185546875,
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-0.006591796875,
-0.07080078125,
0.00482177734375,
-0.138... | 38,978 | 38978 | |
Complex numbers problem
August 3rd 2012, 09:15 AM
shiny718
Complex numbers problem
Let $z$ be a complex number represented by $x +iy$ What is the condition for the relationship between x and y such that $\frac {z}{1+z^2}$ is a real number? A. xy=1 B. x=y C. $x^2 -y^2 =1$ D. $x^
2 + y^2 =1$ E. none of them ab... | 4 | [
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0.126953125,
-0.017822265625,
-0.0517578125,
-0.025634765625,
-0.0747070312... | 38,979 | 38979 | |
Slidding ladder calculous problem
November 20th 2012, 06:31 PM
taylorp
Slidding ladder calculous problem
A 25 ft ladder is leaning against a house when its base starts to slide away. By the time the base is 7 ft from the house, the base is moving away at the rate of 24 ft/sec
a. what is the rate of change of... | 4 | [
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0.09375,
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0.11376953125,
-0.07275390625,
-0.007049560546875,
-0.03491... | 38,980 | 38980 | |
Find Eigenvalues
January 2nd 2010, 05:58 AM #1
Member
Joined
May 2008
Posts
106
Find Eigenvalues
Given a matrix with components
$<br /> (A^{\pm})_{ij} = \delta_{ij} \pm a_i a_j<br />$
where a is a constant real vector, find the eigenvalues of the matrix.
I can't really see where to start w... | 4 | [
-0.0213623046875,
-0.050048828125,
-0.07666015625,
0.00567626953125,
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0.09130859375,
-0.0322265625,
-0.00372314453125,
0.0018310546875,
0.041015625,
0.07666015625,
-0.01251220703125,
... | 38,981 | 38981 | |
Homework Help
Posted by Sarah on Tuesday, April 8, 2008 at 6:57pm.
Find the dimensions and area of the largest rectangle that can be inscribed in a right triangle whose sides are 9cm, 12cm, 15cm.
Use quadratic functions to solve.
• Algebra 2 - drwls, Tuesday, April 8, 2008 at 7:51pm
Put the points of the tria... | 5 | [
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0.00... | 38,982 | 38982 | |
Aime 2006 II #6
April 9th 2006, 08:26 AM
Jameson
Aime 2006 II #6
"Square $ABCD$ has sides of length 1. Points $E$ and $F$ are on $\overline{BC}$ and $\overline{CD}$, respectively, so that $\triangle AEF$ is equilateral. A square with vertex $B$ has sides that
are parallel to those of $ABCD$ and a vertex on $... | 4 | [
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-0.0654... | 38,983 | 38983 | |
Math Forum Discussions
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Topic: Factoring
Replies: 1 Last Post: Apr 21, 1999 9:28 ... | 4 | [
0.018310546875,
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0.0030364990234375,
0.126953125,
-0.0027618408203125,
0... | 38,984 | 38984 | |
Integral Test
Does this fail the Integral Test? I think it does. Summation n=1 to infinity (ne^(-n/2))
$\int_{1}^{\infty}xe^{-\frac{x}{2}}dx$ using integration by parts ( and L'hosiptals rule)you get and please forgive my abuse of notation $\int_{1}^{\infty}xe^{-\frac{x}{2}}dx=-\frac{x}{2}e^{-\frac{x}
{2}}\bigg|_{1}^{... | 5 | [
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0.048583984375,
-0.... | 38,985 | 38985 | |
absolute extrema
March 4th 2009, 05:41 PM #1
Member
Joined
Feb 2009
Posts
91
absolute extrema
Hi
My problem tonight is I don't have a firm enough grasp of e
The question is to find all local extreme values and determine if any are absolute
f(x) = x^2 e^-x^2
So I think f'(x) = x^2 (-2x... | 4 | [
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... | 38,986 | 38986 | |
Which Spheres are Complex Manifolds?
up vote 3 down vote favorite
3
Possible Duplicate:
complex structure on S^n
The two sphere $S^2$ is a real manifold of dimension $2$, while the three sphere $S^3$ is a real manifold of dimension $3$. Now $S^2$ is a complex manifold, while $S^3$ being odd dimensional is not... | 4 | [
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-0.0302734375,
... | 38,987 | 38987 | |
Solve using quadratic formula?
September 21st 2010, 06:21 PM #1
Newbie
Joined
Sep 2010
Posts
1
Solve using quadratic formula?
Someone solve this for me pleasee solving using quadratic formula?
please someone explain this to me and be as descriptive as possible i would really appreciate.
4x^2-12... | 4 | [
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Parallel Lines: Two Column Proof
Date: 09/09/98 at 23:06:05
From: Turtle
Subject: Geometry
Hello,
I was wondering if there is any way that you could break down the steps
in doing a two-column proof? One that we had to do for homework is:
Given: Angle 1 congruent angle 2, angle 3 congruent angle 4
Prove: n ... | 4 | [
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0.121... | 38,989 | 38989 | |
Math Help
Can someone please help me with the questions in the attachment. Thanks
Clearly we would be doing you no favours in just solving them all for you, so I will do one example and if you have specific problems with the others you can post the question, what you have done and
what the difficulty is. <usual warni... | 5 | [
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0.01483154296875,
-0.01495361328125,
0.095703125,
-0.037109375,
0.02... | 38,990 | 38990 | |
Math Forum Discussions
Math Forum
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Discussions
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Topic: Who cares the null hypotheses (two-tail test) is r... | 5 | [
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-0.029296875,
-0.00168609619140625,
-0... | 38,991 | 38991 | |
REGULARIZED HILBERT SPACE LAPLACIAN AND LONGITUDE OF HILBERT SPACE
REGULARIZED HILBERT SPACE LAPLACIAN
AND LONGITUDE OF HILBERT SPACE
Akira Asada and Nobuhiko Tanabe
Abstract
Let H be a real Hilbert s... | 4 | [
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-0.0... | 38,992 | 38992 | |
Torsion points in Abelian varieties over number fields
up vote 13 down vote favorite
4
Hello, Suppose $A$ is an Abelian variety of dimension $g$ over a number field $k$. Then using height functions one can show that there are non-torsion points in $A(\bar k)$. This looks like an
overkill. Is there an easy, elementary ... | 4 | [
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0.05004... | 38,993 | 38993 | |
The Quadratic Formula.
October 9th 2007, 05:12 PM #1
Newbie
Joined
Oct 2007
Posts
8
Hey there. I am having difficulties with the Quadratic formula,
I know what goes where in the cases, but its just solving from there.
like in this equasion.
2x^2-5x=0
I know how to get it into the qua... | 4 | [
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-0.0235595703125,... | 38,994 | 38994 | |
Spatial Filters
Feb 5, 2001
Noise
Common types of noise found in images:
1. Uniform (white) noise:
2. Gaussian noise:
where m is the mean and σ is the standard deviation.
3. Negative exponential noise:
4. Salt-and-Pe... | 4 | [
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How does one know the following surface contains no other lines?
up vote 4 down vote favorite
2
In Heath-Brown's 2002 paper, "Rational points on curves and surfaces", he states
"We may observe that if $d \geq 3$, the surface $$x_1^d + x_2^d - x_2^{d-2} x_3 x_4 = 0$$ is absolutely irreducible, and contains no lines ot... | 5 | [
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-0.06689453... | 38,996 | 38996 | |
Succinctly naming big numbers: ZFC versus Busy-Beaver
up vote 33 down vote favorite
18
Years ago, I wrote an essay called Who Can Name the Bigger Number?, which posed the following challenge:
You have fifteen seconds. Using standard math notation, English words, or both, name a single whole number---not an infini... | 4 | [
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express in m and n
July 20th 2010, 04:39 AM
tempq1
express in m and n
If cos θ = $m^2-n^2 / m^2+n^2$ , where m>n>0,and cosec θ <0 , express sin θ and tan θ in terms of m and n.
i don't really know how to even start it.
July 20th 2010, 04:50 AM
Also sprach Zarathustra
Hint(I think):
sin^2(x)+cos^2... | 4 | [
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Finding Roots of Polynomials
October 19th 2008, 02:08 PM
skyslimit
Finding Roots of Polynomials
On problems like $-12x^3+12x^2+24x$
I try to solve for roots.
What I get is, (12+x)(-x^2+x+2), leaving me to find
x=-12 x=-1 x=2
Come to find out, x=-12 should be x=0. How can I fix this?
Also,... | 4 | [
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