content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Break even point
June 9th 2010, 11:04 AM #1
Junior Member
Joined
Jun 2010
Posts
52
Break even point
So here's the question that i have and i hope someone can help me with this because i am kind of stumped.
John and Jack have opened a shop in Kelowna to build customized patio furniture. The projected... | 5 | [
0.039306640625,
-0.0242919921875,
0.0072021484375,
0.0250244140625,
-0.0296630859375,
-0.005279541015625,
-0.06396484375,
-0.06591796875,
-0.0419921875,
0.11181640625,
-0.0341796875,
-0.06591796875,
0.0301513671875,
-0.01904296875,
-0.01092529296875,
0.06640625,
0.0361328125,
-0.03... | 40,600 | 40600 | |
Computing [T]_B and determine whether Beta is a basis consisting of eigenvectors
November 16th 2010, 07:30 PM #1
Member
Joined
Apr 2010
Posts
133
Computing [T]_B and determine whether Beta is a basis consisting of eigenvectors
For the following linear operators T on a vector space V and ordered basis B (... | 5 | [
-0.037109375,
0.022216796875,
-0.0283203125,
-0.0296630859375,
-0.0011138916015625,
0.048583984375,
0.02783203125,
-0.017822265625,
-0.051025390625,
-0.00531005859375,
-0.0308837890625,
-0.040283203125,
-0.055419921875,
0.005584716796875,
-0.02783203125,
0.02294921875,
-0.029296875,
... | 40,601 | 40601 | |
[SOLVED] am I thinking right??
February 22nd 2009, 04:27 PM
codex123
[SOLVED] am I thinking right??
The integral 1/(sqrt((x^2)-9)
so far I have this....
x = 3sec(t)
dx = 3sec(t)tan(t)dt
this gives me --> integral (3sec(t)tan(t))dt/9(tan^2)(t)
1/3 integral sec(t)dt/tan(t) --> 1/3 integral cs... | 5 | [
-0.05224609375,
-0.006744384765625,
0.00946044921875,
0.0223388671875,
0.031005859375,
0.043212890625,
-0.0390625,
0.09765625,
0.007476806640625,
-0.08837890625,
0.0033416748046875,
-0.040283203125,
-0.033447265625,
0.033935546875,
-0.0224609375,
-0.038818359375,
0.005035400390625,
... | 40,602 | 40602 | |
— Nonparametric Tests
Contents
What Are Nonparametrics?
Statistical inference involves drawing samples from populations and making decisions about those populations from the sample data. Statistical techniques, known as parametric methods, make a number
of assumptions about the nature of the sampled populations. The... | 4 | [
-0.04150390625,
-0.0208740234375,
-0.038330078125,
0.022705078125,
-0.00518798828125,
-0.0322265625,
-0.1259765625,
-0.0194091796875,
0.03466796875,
0.0255126953125,
0.1044921875,
-0.06689453125,
0.0194091796875,
-0.00188446044921875,
0.044189453125,
-0.14453125,
0.068359375,
-0.01... | 40,603 | 40603 | |
StudentsBlog100: DESIGN AND ANALYSIS OF ALGORITHMS IMPORTANT TWO MARK QUESTIONS WITH ANSWERS
Subject : DAA
Semester : 4th
Department : CSE
Content : DAA IMPORTANT TWO MARK QUESTIONS WITH ANSWERS
DESIGN AND ANALYSIS OF ALGORITHMS UNIT I INTRODUCTION Definition and properties of an algorithm- Analysis of algorithm... | 5 | [
-0.059326171875,
0.0791015625,
-0.055419921875,
-0.016357421875,
-0.049072265625,
-0.1552734375,
-0.04248046875,
0.033447265625,
0.0184326171875,
0.03466796875,
-0.09521484375,
0.06640625,
0.0277099609375,
0.034912109375,
-0.07763671875,
0.041748046875,
-0.022216796875,
-0.00637817... | 40,604 | 40604 | |
Help please midterm tomorrow!
February 18th 2010, 06:32 PM #1
Newbie
Joined
Feb 2010
Posts
6
Help please midterm tomorrow!
I need help answering this question please:
A machine fills containers with a mean weight per container of 16.0 oz. If no more than 5% of the containers are to weigh less than 1... | 5 | [
0.059326171875,
0.1142578125,
0.04833984375,
-0.00689697265625,
-0.03173828125,
-0.06787109375,
-0.08349609375,
0.11474609375,
-0.041748046875,
-0.045166015625,
0.03173828125,
-0.06494140625,
0.0133056640625,
0.036376953125,
-0.04150390625,
0.0059814453125,
0.08740234375,
-0.017333... | 40,605 | 40605 | |
[SOLVED] Solving simple Nonlinear equation ?
April 2nd 2009, 08:43 PM #1
[SOLVED] Solving simple Nonlinear equation ?
So i need to find the X and Y values ..
xy = 3
x^2 + y^2 = 10
So i solved the first equation for y = 3/x
Plugged in the second equation, but can't solve for x !
x^2 + (3/x)^2... | 4 | [
-0.068359375,
-0.0771484375,
-0.0595703125,
-0.0108642578125,
0.022216796875,
0.03857421875,
-0.0172119140625,
-0.004302978515625,
-0.0174560546875,
-0.1083984375,
0.109375,
-0.0194091796875,
0.0198974609375,
0.06396484375,
-0.0011138916015625,
0.06591796875,
-0.0242919921875,
0.03... | 40,606 | 40606 | |
Hyperbolic Translations
One of the crucial issues in the construction of the implementation of the transversion automaton is how it interpolate its geometric relationships (transversions and rigid body motions) through
space to generate a surface in 3D. The input data is pentagonal tiling of the surface unfolded into... | 4 | [
-0.10498046875,
0.0172119140625,
0.03662109375,
-0.103515625,
-0.019287109375,
-0.07666015625,
-0.05078125,
0.004913330078125,
0.0272216796875,
0.017578125,
0.00006008148193359375,
-0.055419921875,
-0.036376953125,
0.000972747802734375,
0.0196533203125,
-0.014404296875,
-0.0551757812... | 40,607 | 40607 | |
3 Trig Equations and 1 Word Problem Help
May 3rd 2009, 08:32 PM #1
Newbie
Joined
May 2009
Posts
4
3 Trig Equations and 1 Word Problem Help
1. 2sin(x+(pi/2)) + 3tan(pi-x) = 0, in the interval [0, pi)
2. cos2x + 2sin^2(x) - 2tan^2(x) - 1 = 0, in the interval [0, 2pi)
3. 4sin^2(x) - 4sin(x) + 1 = ... | 4 | [
0.0255126953125,
0.01708984375,
-0.01165771484375,
0.005218505859375,
-0.00885009765625,
0.028564453125,
-0.04931640625,
0.02734375,
0.01251220703125,
-0.0177001953125,
0.052734375,
-0.051025390625,
0.039306640625,
-0.03759765625,
0.015869140625,
-0.01806640625,
-0.064453125,
-0.07... | 40,608 | 40608 | |
Random Walks in $Z^2$/$Z^2$-intrinsic characterization of Euclidean distance Part II
up vote 6 down vote favorite
1
For some context see Random Walks in $Z^2$/$Z^2$-intrinsic characterization of Euclidean distance
As per Noah's answer and JBL's comment this was false as stated. However, I think the following reformul... | 5 | [
-0.08203125,
-0.0303955078125,
0.044677734375,
0.0439453125,
0.05126953125,
0.05126953125,
0.053955078125,
0.006439208984375,
0.0216064453125,
-0.08642578125,
0.03173828125,
0.10302734375,
0.0245361328125,
-0.00061798095703125,
-0.060791015625,
-0.02880859375,
0.0888671875,
-0.0341... | 40,609 | 40609 | |
the encyclopedic entry of real gases
Real gas
effects refers to an assumption base where the following are taken into account:
• Compressibility effects
• Variable heat capacity
• Van der Waals forces
• Non-equilibrium thermodynamic effects
• Issues with molecular dissociation and elementary reactions with ... | 4 | [
-0.07373046875,
-0.0279541015625,
-0.039794921875,
0.080078125,
0.0380859375,
0.0185546875,
-0.036376953125,
0.09716796875,
0.052490234375,
0.04345703125,
-0.0625,
-0.006591796875,
0.00909423828125,
0.004638671875,
0.0089111328125,
-0.07373046875,
0.017333984375,
-0.01470947265625,... | 40,610 | 40610 | |
Filtering in the Frequency Domain
Because we are interested in actual computations rather than analytic calculations, we must consider the details of the discrete Fourier transform. To compute the length-NN DFT, we assume that the
signal has a duration less than or equal to NN. Because frequency responses have an expli... | 4 | [
-0.09423828125,
0.02978515625,
0.02392578125,
-0.01513671875,
0.09130859375,
0.0277099609375,
0.02734375,
-0.0166015625,
0.03857421875,
-0.0206298828125,
-0.035888671875,
-0.11376953125,
0.01055908203125,
-0.059326171875,
-0.01708984375,
-0.0712890625,
-0.0654296875,
0.06884765625,... | 40,611 | 40611 | |
find the center and radius
find the center and radius of the sphere: http://img175.imageshack.us/img175/3092/untitledxc6.png any help please.
The equation of a sphere is in the form (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 where the center is (h,k,l) and radius is r. So our first objective is to get the equation in the... | 4 | [
0.068359375,
0.043212890625,
-0.06396484375,
-0.005859375,
0.06884765625,
0.064453125,
-0.046875,
0.049072265625,
0.036865234375,
0.0264892578125,
0.01953125,
0.016845703125,
0.0283203125,
0.005096435546875,
-0.046630859375,
0.061279296875,
-0.1083984375,
-0.029052734375,
-0.0502... | 40,612 | 40612 | |
A product of gamma values over the numbers coprime to n.
up vote 2 down vote favorite
1
Let φ(n) denote Euler's totient function and k $\perp$ n denote that k, n are integers and relatively prime. Let N = φ(n) + 1. If n is not a prime power $$ \prod_{\substack{0 < k < n, \\ k \perp n }}
\Gamma \left(\frac{k}{n}\right)... | 5 | [
-0.08642578125,
-0.004608154296875,
-0.0234375,
-0.020751953125,
-0.0185546875,
0.03955078125,
0.1376953125,
0.08935546875,
0.03173828125,
0.01019287109375,
-0.026611328125,
0.049072265625,
0.044189453125,
0.03955078125,
-0.05322265625,
0.0223388671875,
0.00628662109375,
-0.0461425... | 40,613 | 40613 | |
conjugacy classes
November 5th 2009, 07:16 AM
ux0
conjugacy classes
Prove that the conjugacy classes in $A_5$ have sizes 1,12 ,12, 15 and 20..
so to prove the conjugacy class of size 1, its trivial, its just the identity.
to prove the conjugacy class of size 20, i used a lemma saying... All 3 cycles ... | 5 | [
-0.046875,
0.046142578125,
0.0595703125,
-0.032958984375,
-0.031494140625,
0.005950927734375,
0.09814453125,
-0.027099609375,
-0.049560546875,
0.0211181640625,
0.0281982421875,
-0.00070953369140625,
0.017822265625,
-0.0810546875,
-0.043212890625,
0.072265625,
0.0026702880859375,
-0... | 40,614 | 40614 | |
Kalman filtering: 1D case
up vote 1 down vote favorite
How will the kalman filtering model look like in the case when I just receive some data and want to filter them from noise? The data is actually an acceleration of some object. So the system must be
like this:
$$x_t = A_tx_{t-1} + B_tu_t + \epsilon_t$$ $$z_t = C_... | 4 | [
-0.126953125,
-0.036865234375,
0.041015625,
0.0196533203125,
-0.0233154296875,
-0.01513671875,
0.064453125,
-0.09814453125,
-0.00982666015625,
0.00164794921875,
-0.0113525390625,
-0.024169921875,
0.064453125,
-0.062255859375,
-0.0810546875,
0.01220703125,
0.0673828125,
0.0296630859... | 40,615 | 40615 | |
Lower and Upper Darboux Sums
December 13th 2008, 03:11 PM #1
Newbie
Joined
Dec 2008
Posts
3
Lower and Upper Darboux Sums
Let $f(x) : [a,b] -> R$ be a bounded function such that $U(f,P) = L(f,P)$ for any partition P of [a,b].
Prove that there exists a constant c such that $f(x) = c$ for any x in [a,b]... | 4 | [
-0.048095703125,
0.0186767578125,
0.024169921875,
0.0017242431640625,
0.0120849609375,
0.095703125,
0.056640625,
0.02734375,
-0.06640625,
-0.0361328125,
-0.10009765625,
-0.01165771484375,
0.040283203125,
-0.017822265625,
0.0311279296875,
0.014404296875,
0.044921875,
-0.038818359375... | 40,616 | 40616 | |
Asymptotic bounds for a confluent hypergeometric function $F_{1}[;1;x]$
up vote 4 down vote favorite
I know that for infinite series and $|z|<1$ there exists a confluent hypergeometric expression
$ \sum_{k=0}^{\infty} \frac{z^k}{k!k!} = F_{1}[;1;z] $
This is not very helpful though, and I 'd like to know if it is po... | 5 | [
-0.01123046875,
-0.0238037109375,
-0.0947265625,
0.076171875,
0.035888671875,
-0.08544921875,
0.026611328125,
-0.01507568359375,
0.0198974609375,
0.0123291015625,
-0.08642578125,
0.0306396484375,
0.07861328125,
-0.007080078125,
-0.02490234375,
-0.053466796875,
0.060302734375,
-0.03... | 40,617 | 40617 | |
Perimeters of 2D Shapes
The perimeter of a shape is just the distance around its boundary, or edges. Most of the normal shapes have easy formulae that allow you to quickly work out what the perimeter of the shape is. Here
are some of the formulas:
Sponsored Links Perimeter = 4L
Perimeter = 2(L + W... | 4 | [
0.041748046875,
-0.0191650390625,
-0.047607421875,
0.033203125,
-0.00141143798828125,
-0.0380859375,
0.000736236572265625,
0.08740234375,
0.0966796875,
-0.078125,
-0.0206298828125,
0.0107421875,
0.04541015625,
0.045654296875,
0.04638671875,
-0.07177734375,
0.031494140625,
0.0163574... | 40,618 | 40618 | |
finding points of intersections
May 29th 2010, 04:20 AM #1
Junior Member
Joined
Nov 2009
Posts
27
finding points of intersections
Hi, i'm having a bit of a problem here.. I have no idea how to do this.
Show that the curves
$y=2^x$ and $y=1+2x-x^2$ intersect at A(0,1) and B(1,2)
Thanks in ad... | 4 | [
0.056884765625,
-0.05859375,
-0.01446533203125,
0.06982421875,
0.068359375,
-0.039794921875,
0.08251953125,
0.025390625,
-0.05029296875,
-0.041015625,
0.039794921875,
-0.06103515625,
0.10791015625,
0.052978515625,
-0.0458984375,
0.02783203125,
-0.018798828125,
-0.1689453125,
0.05... | 40,619 | 40619 | |
Double integrals as volume
You are probably familiar that in one-variable calculus, the integral $\int_a^b f(x)dx$ for positive $f(x)$ can be interpreted as the area under the curve $f(x)$ over the interval $[a,b]$.
The integral is the area between the curve $f(x)$ and the $x$-axis.
In the same way, the double integr... | 5 | [
-0.02880859375,
-0.0311279296875,
-0.01287841796875,
-0.07958984375,
0.010009765625,
-0.06298828125,
-0.0439453125,
0.060302734375,
0.00885009765625,
0.02001953125,
-0.0703125,
0.04296875,
0.033203125,
0.05322265625,
0.05615234375,
0.01275634765625,
-0.047119140625,
0.0233154296875... | 40,620 | 40620 | |
tangent with "unknown parabola"
August 14th 2010, 09:48 PM #1
Junior Member
Joined
Apr 2010
From
Australia
Posts
26
tangent with "unknown parabola"
im sorry for posting so many questions. this is the last.
"the line $y=5x-3$ is a tangent to the parabola $y=ax^2 + bx -1$ at the point (1,2). find ... | 4 | [
-0.0791015625,
-0.07958984375,
0.0390625,
-0.0274658203125,
0.0264892578125,
0.06982421875,
0.04638671875,
0.0101318359375,
0.0439453125,
0.01904296875,
0.06591796875,
-0.0289306640625,
0.047119140625,
0.017822265625,
-0.045654296875,
0.1455078125,
-0.057861328125,
-0.05712890625,
... | 40,621 | 40621 | |
Calculating critical points from a non factorable derivative
November 13th 2012, 11:43 AM
matthewporter1965
Calculating critical points from a non factorable derivative
f(x) = x^3 - 2x^2 - 5x + 6 find critical points of f on the interval [4,8]
I know I need to take the derivative,which is f^1 = 3x^2 - 4x -5.... | 4 | [
0.0198974609375,
-0.060791015625,
-0.0157470703125,
0.015380859375,
0.01019287109375,
0.039306640625,
0.0034332275390625,
0.052978515625,
0.026123046875,
0.031494140625,
0.06689453125,
-0.013427734375,
0.07470703125,
0.005401611328125,
0.022216796875,
0.0303955078125,
0.0103149414062... | 40,622 | 40622 | |
Upper bound concerning Snell envelope
up vote 2 down vote favorite
1
Consider, on a filtred probability space $ \left (\Omega, \mathcal F, \mathbb F , \mathbb P \right )$ where $ \mathbb F = \left(\mathcal F_ t \right )_ {t\geq 0}$ is filtration satisfying the usuual
conditions, a non-negative continuous process $X = ... | 5 | [
-0.0712890625,
-0.04541015625,
0.076171875,
-0.103515625,
0.06689453125,
-0.0081787109375,
0.060791015625,
0.031982421875,
-0.0029144287109375,
0.01092529296875,
-0.0517578125,
0.05615234375,
0.047119140625,
0.03173828125,
-0.0218505859375,
0.06982421875,
0.0478515625,
-0.100097656... | 40,623 | 40623 | |
[SOLVED] derivative of integral
April 28th 2010, 03:05 AM #1
Junior Member
Joined
Dec 2009
Posts
48
[SOLVED] derivative of integral
Hello, I want to calculate the derivative of f(x), where:
$f(x)=\int^x_{sin{x}} e^{t^2}dt$
I don't have many ideas how to start with this, I had thought maybe tran... | 4 | [
-0.040771484375,
0.033935546875,
0.00762939453125,
0.0166015625,
0.028564453125,
0.0179443359375,
-0.00830078125,
-0.0029754638671875,
-0.0390625,
0.1181640625,
0.0810546875,
0.04833984375,
-0.01458740234375,
-0.034912109375,
0.00799560546875,
-0.036865234375,
0.033935546875,
0.028... | 40,624 | 40624 | |
Inverse Fourier Transform involving a Bessel Function, Exponential, and Power
up vote 4 down vote favorite
1
I'm interested in this integral as a function of $r$ for various spectral densities $S(s)$: $\frac{2 \pi}{r^{p/2}-1} \int_{0}^{\infty} S(s) J_{p/2-1}(2 \pi r s) s^{p/2} ds $, where $J_{p/2-1}$ is a
Bessel funct... | 4 | [
-0.061767578125,
0.00138092041015625,
0.00159454345703125,
-0.049072265625,
0.0771484375,
0.054931640625,
-0.018798828125,
0.058349609375,
0.01611328125,
0.0712890625,
-0.047607421875,
0.0732421875,
-0.0113525390625,
0.0185546875,
0.0191650390625,
-0.0419921875,
0.037841796875,
0.1... | 40,625 | 40625 | |
how to convert truth table into boolean expressions?
September 11th 2009, 11:22 PM #1
Member
Joined
Apr 2009
Posts
108
how to convert truth table into boolean expressions?
I was wondering if someone can show me a clean cut method to finding boolean expressions for any truth table..
I'll show you an ... | 4 | [
0.04052734375,
0.02001953125,
-0.054443359375,
0.00543212890625,
0.020263671875,
-0.00159454345703125,
0.06591796875,
-0.08251953125,
-0.07568359375,
0.0289306640625,
-0.042236328125,
-0.049560546875,
0.0732421875,
0.0673828125,
-0.00188446044921875,
0.0791015625,
-0.076171875,
0.0... | 40,626 | 40626 | |
"The Z/2-cohomology functor from Top to GrVecSpaces factors through Unstable-A-Mod, and this is the largest algebraic category through which it factors."
up vote 9 down vote favorite
3
(Here A is the Steenrod algebra.)
I have it on good authority (p. 23) that this is true, but I can't quite make sense of it. The crux... | 4 | [
-0.08203125,
0.04541015625,
0.0037994384765625,
0.0263671875,
0.052001953125,
-0.050537109375,
-0.034423828125,
0.032958984375,
0.0201416015625,
-0.0205078125,
0.006744384765625,
-0.050048828125,
-0.00494384765625,
-0.04443359375,
0.083984375,
-0.05224609375,
0.01116943359375,
0.03... | 40,627 | 40627 | |
6.3 - Other types of graphs
Literally dozens of different types of graphs (or charts or plots) have been invented. We will describe the three types that the Algebra Coach uses. We will assume that the variables of interest are
called x and y and that we want to plot the graphs on the cartesian plane.
Graphs of funct... | 4 | [
0.01446533203125,
-0.1025390625,
-0.054931640625,
-0.06640625,
-0.037353515625,
-0.03955078125,
-0.01287841796875,
0.0286865234375,
0.00531005859375,
0.032470703125,
0.0216064453125,
0.060546875,
0.031494140625,
0.09619140625,
0.07373046875,
0.0478515625,
-0.055419921875,
-0.049072... | 40,628 | 40628 | |
format
December 14th 2008, 12:54 PM
polymerase
format
Lets say i have a question, for example, $\int_0^5 (x^2-9)^2\;dx$
Now if i wanted to show my entire work for this question, i would start off like this:
$\int_0^5 (x^2-9)^2\;dx=\int_0^5 x^4-18x^2+81\;dx$
Now lets assume i want to show every sin... | 5 | [
0.01904296875,
0.0888671875,
0.11962890625,
-0.00112152099609375,
0.01409912109375,
0.0037384033203125,
-0.056396484375,
0.0732421875,
-0.00063323974609375,
-0.0198974609375,
-0.00970458984375,
0.01129150390625,
0.03564453125,
0.07080078125,
-0.05810546875,
0.0042724609375,
-0.052978... | 40,629 | 40629 | |
A question about Abel-Jacobi map
up vote 3 down vote favorite
Let $X$ be a Riemann Surface with genus $g$, $S^g(X)$ be the symmetric power of $X$ (which is naturally identified with the set of effective divisors of degree $g$). Let $A$ be the Abel-Jacobi map
from $S^g(X)$ to $Jac(X)$. We know that for any $D \in S^g(X... | 4 | [
-0.09814453125,
-0.0179443359375,
0.07763671875,
-0.024169921875,
0.0234375,
-0.05029296875,
0.0380859375,
0.029296875,
-0.0198974609375,
0.0145263671875,
0.0712890625,
0.078125,
0.038818359375,
-0.04931640625,
0.0031890869140625,
0.0001544952392578125,
-0.0031890869140625,
0.09716... | 40,630 | 40630 | |
Bijective functions
March 27th 2011, 12:38 AM #1
Member
Joined
Mar 2011
From
Awetuouncsygg
Posts
182
Thanks
12
Bijective functions
A is a non-empty set. Is there a bijective function $\displaystyle f:A\mapsto A$ such that there exists $H\subset A, Heq\varnothing$, with $\displaystyle f(H)\subset$... | 5 | [
0.008056640625,
-0.032470703125,
-0.0361328125,
-0.025390625,
-0.06298828125,
0.0106201171875,
0.07373046875,
-0.0771484375,
0.005096435546875,
-0.0341796875,
0.034912109375,
-0.06640625,
0.0400390625,
-0.015869140625,
0.07080078125,
0.037841796875,
0.01373291015625,
-0.03088378906... | 40,631 | 40631 | |
Serious problem with common tangent
August 17th 2005, 04:52 AM #1
Member
Joined
Jul 2005
Posts
187
Serious problem with common tangent
I would like to form common tangent equation for the functions f(x) and g(x) on the attachement. First of all I tried to form tangent equation for simple functions as y=x... | 5 | [
-0.061767578125,
-0.0228271484375,
0.0174560546875,
-0.0069580078125,
0.049560546875,
0.0213623046875,
0.0191650390625,
0.1044921875,
-0.03369140625,
0.01251220703125,
0.1572265625,
-0.044921875,
-0.0244140625,
0.025634765625,
-0.0277099609375,
0.07763671875,
-0.125,
-0.02209472656... | 40,632 | 40632 | |
quotient map
April 23rd 2010, 03:15 PM
rain07
quotient map
Recall that the integer part (or integral part) of a real number x is the unique integer n ∈ Z such that n ≤ x < n + 1. We denote it by I(x).
On R we define the relation xRy ⇔ I(x) = I(y).
(a) Let p : R → R/R be the quotient map, let R/R be endowe... | 5 | [
-0.040771484375,
0.0673828125,
-0.01129150390625,
-0.023193359375,
0.01373291015625,
0.033447265625,
0.134765625,
0.01214599609375,
-0.0184326171875,
-0.111328125,
-0.0087890625,
-0.01904296875,
0.054931640625,
0.015869140625,
-0.0147705078125,
-0.072265625,
0.005584716796875,
-0.0... | 40,633 | 40633 | |
How to find a solution to a particular Bottcher equation
up vote 5 down vote favorite
2
Functional equations of the form $f(g(x))=(f(x))^p$, where $g(x)$ is known, is called Bottcher equation. Generally, we have only asymptotic formula for the solution $f(x)$ under certain conditions.
In one of my study, I come across... | 5 | [
-0.046630859375,
-0.0927734375,
-0.0159912109375,
0.07958984375,
-0.03759765625,
0.02978515625,
-0.00372314453125,
0.00482177734375,
0.048828125,
0.09326171875,
0.04638671875,
-0.001220703125,
-0.0240478515625,
-0.0028533935546875,
0.03955078125,
-0.01123046875,
-0.042724609375,
0.... | 40,634 | 40634 | |
Archives of the Caml mailing list > Message from John Harrison
HOL Light version 2.20 now available
Date: -- (:)
From: John Harrison <John.Harrison@c...>
Subject: HOL Light version 2.20 now available
I'm pleased to announce the release of version 2.20 of the HOL
Light theorem prover, available now from the ... | 4 | [
-0.1435546875,
0.049072265625,
-0.02978515625,
-0.00994873046875,
0.0908203125,
-0.04443359375,
-0.0262451171875,
0.0245361328125,
-0.048095703125,
0.0361328125,
0.061279296875,
0.052978515625,
-0.048095703125,
0.0107421875,
0.0654296875,
0.0361328125,
-0.06494140625,
-0.0130615234... | 40,635 | 40635 | |
Help with parametric equations?
November 13th 2009, 07:16 PM
iheartthemusic29
Help with parametric equations?
Two particles move in the xy-plane. At time t, the position of particle A is given by x(t)=4t−4 and y(t)=2t−k, and the position of particle B is given by x(t)=3t and y(t)=t^2−2t−1.
Find k so that the... | 4 | [
-0.0146484375,
-0.02294921875,
-0.04931640625,
-0.04296875,
-0.032470703125,
0.0322265625,
0.0169677734375,
0.0230712890625,
0.00872802734375,
0.044677734375,
0.06787109375,
0.01397705078125,
0.0216064453125,
0.000308990478515625,
0.024169921875,
0.123046875,
-0.05859375,
-0.015625... | 40,636 | 40636 | |
Sampling Distributions
March 17th 2010, 01:46 PM #1
Member
Joined
Oct 2009
Posts
114
Thanks
1
Sampling Distributions
The thickness (mm) of the coating applied to disk drives is a characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness
... | 5 | [
0.01153564453125,
0.032958984375,
0.062255859375,
-0.025634765625,
-0.003936767578125,
-0.0673828125,
0.076171875,
0.0888671875,
0.04296875,
0.0198974609375,
0.0103759765625,
-0.1044921875,
0.072265625,
-0.03759765625,
0.007049560546875,
-0.080078125,
0.064453125,
-0.060546875,
-... | 40,637 | 40637 | |
Twisted forms and $\check{H}^1$
up vote 4 down vote favorite
2
I am reading Milne's Étale cohomology, III.4.
A twisted form of an object $Y$ (a scheme, a sheaf of modules, of algebras...) over a scheme $X$ is an object $Y'$ such that there exists a covering in some topology (let's say étale to fix the
ideas), $(U_i \... | 4 | [
-0.0673828125,
-0.0115966796875,
0.0206298828125,
-0.0634765625,
0.06298828125,
-0.0164794921875,
0.0830078125,
0.00860595703125,
-0.0400390625,
-0.0859375,
0.09619140625,
0.0064697265625,
-0.0517578125,
-0.011962890625,
0.051513671875,
0.06494140625,
-0.083984375,
-0.076171875,
... | 40,638 | 40638 | |
Find the first order statistic
March 21st 2011, 01:52 PM #1
Newbie
Joined
Jan 2011
Posts
9
Find the first order statistic
Suppose Y_1,..., Y_n is a random sample where the density of each random variable Y_i is f(y) = 2*x^2*y^(-3), y >= 0 for some parameter x > 1. Find the first order statistic, Y_(1).
... | 5 | [
0.0042724609375,
-0.060546875,
0.0556640625,
0.0054931640625,
0.04345703125,
-0.056640625,
0.025634765625,
0.00579833984375,
-0.01287841796875,
0.0279541015625,
0.024658203125,
0.0026092529296875,
0.0152587890625,
-0.056396484375,
0.042236328125,
0.04052734375,
0.0264892578125,
-0.... | 40,639 | 40639 | |
central limit theorem and n being "large enough"
November 20th 2010, 06:55 PM #1
Newbie
Joined
Nov 2009
Posts
21
central limit theorem and n being "large enough"
Let X ~ Binom(n, pi). Then by the Central Limit Theorem, if n is large enough, X is approximately equal to Norm(pi, sqrt(npi(1 - pi))). I need ... | 4 | [
0.046630859375,
-0.0230712890625,
0.0074462890625,
-0.01385498046875,
-0.039306640625,
0.0322265625,
0.01141357421875,
0.06591796875,
0.0302734375,
0.034423828125,
-0.02001953125,
0.0250244140625,
0.05517578125,
-0.03125,
0.0164794921875,
0.013916015625,
0.06884765625,
-0.009582519... | 40,640 | 40640 | |
integration and coordinate geometry
April 1st 2006, 09:56 PM #1
Newbie
Joined
Apr 2006
Posts
3
integration and coordinate geometry
sorry i was going through some past papers and i need help on some questions again.
1)
given that dy/dx = ((3-square root x)^2)/square root x, x>0, and that y=2/3 at... | 5 | [
-0.052490234375,
-0.091796875,
0.00567626953125,
-0.04052734375,
0.0205078125,
-0.04638671875,
-0.012939453125,
0.05908203125,
-0.0245361328125,
0.0233154296875,
0.05517578125,
-0.0224609375,
-0.032470703125,
-0.0042724609375,
-0.0038604736328125,
0.036376953125,
-0.0927734375,
-0.... | 40,641 | 40641 | |
Synthetic Division
January 1st 2006, 12:40 PM #1
Newbie
Joined
Jan 2006
Posts
20
Alright, i have to discuss how synthetic division can be used with any linear factor of the form ax+b. for example, any polynomial divided synthetically by ax+b. I didn't know that it was
possible i thought you could only... | 4 | [
-0.091796875,
-0.006439208984375,
-0.076171875,
0.0238037109375,
0.002593994140625,
0.01806640625,
-0.0240478515625,
-0.0859375,
-0.033447265625,
-0.00689697265625,
0.005645751953125,
-0.035888671875,
0.01220703125,
0.039794921875,
-0.01904296875,
0.0216064453125,
-0.0133056640625,
... | 40,642 | 40642 | |
Model of a scheme regular over the generic point
up vote 5 down vote favorite
3
Let all schemes below be excellent. Let $X_0$ be a regular (not necessarily smooth, projective) non-empty scheme of finite type over the generic point $\eta$ of a regular connected scheme $S$. As the
answers to my question For a morphism f... | 4 | [
0.06396484375,
0.0091552734375,
0.0203857421875,
-0.0213623046875,
0.11279296875,
0.037109375,
0.0185546875,
-0.023193359375,
-0.08349609375,
-0.02197265625,
0.005828857421875,
0.058349609375,
0.017333984375,
0.029052734375,
0.0223388671875,
-0.00848388671875,
0.00897216796875,
-0.... | 40,643 | 40643 | |
lesson
Lesson - Atwood's Pulley - Massive
Name: _________________________
The applet Atwood simulates the motion of two masses connected by a massless, ideal string
which passes over a massive pulley.
Prerequisites
Students should be familiar with the concepts of potential and... | 5 | [
-0.0576171875,
0.0201416015625,
-0.0257568359375,
-0.0191650390625,
-0.06298828125,
-0.032958984375,
-0.00830078125,
0.1083984375,
0.08740234375,
0.00787353515625,
0.12060546875,
-0.033203125,
-0.040771484375,
-0.0277099609375,
-0.02880859375,
0.10009765625,
-0.06396484375,
-0.0008... | 40,644 | 40644 | |
Showing That it is onto?
October 9th 2008, 02:47 AM #1
Junior Member
Joined
Mar 2008
Posts
49
Showing That it is onto?
Define a binary operation on the rationals so that the map defined by is an isomorphism between sets with binary operations. Prove that is an isomorphism.
THIS IS WHAT I HAVE TO... | 5 | [
-0.0191650390625,
-0.00537109375,
0.037109375,
-0.02001953125,
-0.0291748046875,
0.052490234375,
0.0927734375,
-0.0079345703125,
-0.0091552734375,
-0.041748046875,
-0.006103515625,
-0.037109375,
0.0257568359375,
0.01519775390625,
-0.0027313232421875,
-0.0011749267578125,
0.0708007812... | 40,645 | 40645 | |
Intersection probability for 'N' fixed-length rods in one- or two-dimensions
up vote 2 down vote favorite
Please consider the case where I have 'N' rods of length L (and width W) placed on a one- or two-dimensional surface with dimensions [0, A] in 1D, and [ [0, A], [0, B] ] in 2D. For the
two-dimensional case, L and ... | 5 | [
0.01953125,
-0.1123046875,
0.051025390625,
-0.0164794921875,
0.007720947265625,
-0.042724609375,
0.042236328125,
0.01177978515625,
0.004425048828125,
0.0179443359375,
-0.05322265625,
-0.0079345703125,
-0.00115203857421875,
0.0108642578125,
-0.01507568359375,
0.058349609375,
-0.053222... | 40,646 | 40646 | |
Shape of the Sine Curve vs. Circle
Date: 07/18/2001 at 01:11:24
From: Aaron
Subject: Shape of the Sine Curve vs. Circle
I have a question regarding the shape of the sine curve.
A sine curve appears almost linear between its high points. In other
words, if the graph y = 5sinx is graphed, the curve looks almost
linea... | 4 | [
-0.09228515625,
-0.06494140625,
-0.0052490234375,
0.053466796875,
0.045166015625,
-0.07763671875,
-0.06689453125,
0.058349609375,
0.0703125,
-0.00372314453125,
-0.0294189453125,
0.06982421875,
0.00830078125,
0.053466796875,
0.054931640625,
-0.06298828125,
-0.03515625,
-0.0830078125... | 40,647 | 40647 | |
Equivalent definitions of arithmetically Cohen-Macaulay varieties
up vote 3 down vote favorite
2
Let $X\subset \mathbb{P}^n$ be a projective algebraic variety with coordinate ring $R$. $X$ is said to be arithmetically Cohen-Macaulay if $R$ is a Cohen-Macauly ring. A equivalent definition is that
the natural morphism $... | 4 | [
0.026123046875,
0.048583984375,
-0.0208740234375,
-0.000553131103515625,
0.0169677734375,
-0.06298828125,
0.08056640625,
-0.006866455078125,
-0.005462646484375,
-0.08251953125,
0.0198974609375,
-0.07861328125,
0.05224609375,
-0.0019989013671875,
-0.005950927734375,
0.04443359375,
-0.... | 40,648 | 40648 | |
differential geometry?
December 23rd 2008, 08:54 AM
Aradesh
differential geometry?
hello there.
i was reading through some work on curves of pursuit and the author stated a certain equivalence without any comment as to where it came from.
Say i have a differentiable curve $C$ in the plane. Given a poin... | 4 | [
-0.1162109375,
-0.013916015625,
0.057373046875,
-0.0004138946533203125,
0.053955078125,
0.052734375,
-0.00860595703125,
0.11474609375,
0.0810546875,
-0.03955078125,
0.052978515625,
0.0125732421875,
-0.0052490234375,
-0.04296875,
-0.00057220458984375,
0.0419921875,
-0.08984375,
0.01... | 40,649 | 40649 | |
Multiple Choice Question
December 31st 2009, 02:59 PM #1
Super Member
Joined
Dec 2008
Posts
509
Multiple Choice Question
Hi
I few question i am having trouble with:
1)P and Q lie on the curve $y=x^3$. The x coordinates of P and Q are 2 and (2+h) respectively. The gradient of chord PQ is:
A. $... | 4 | [
-0.07763671875,
0.017822265625,
-0.05126953125,
-0.06005859375,
0.032470703125,
0.05810546875,
0.0615234375,
0.054443359375,
0.051513671875,
0.025390625,
0.06787109375,
-0.018310546875,
0.01275634765625,
0.06884765625,
0.03759765625,
0.0693359375,
-0.091796875,
0.01348876953125,
... | 40,650 | 40650 | |
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: [ap-calculus] Implicit Differentiation notation
Re... | 5 | [
-0.10009765625,
0.0220947265625,
0.05712890625,
-0.049072265625,
-0.037841796875,
-0.07470703125,
-0.0201416015625,
0.033935546875,
0.1044921875,
0.03173828125,
0.111328125,
0.0308837890625,
0.013427734375,
0.0830078125,
0.051025390625,
0.062255859375,
-0.068359375,
-0.006500244140... | 40,651 | 40651 | |
Using Polar Coordinates to Solve a Complex Number Problem
Date: 02/03/2005 at 13:41:50
From: Julie
Subject: complex numbers
I am a high school math teacher and have given my students a problem
from an old AMC contest and I am not sure how to solve it or explain
it. Here it is:
Find the number of ordered pairs of re... | 5 | [
-0.0194091796875,
0.0751953125,
-0.027099609375,
0.0390625,
-0.1328125,
0.035888671875,
0.0289306640625,
0.0103759765625,
0.0869140625,
-0.0194091796875,
0.072265625,
0.0673828125,
0.052978515625,
0.103515625,
0.01153564453125,
0.07763671875,
-0.045166015625,
-0.056396484375,
-0.... | 40,652 | 40652 | |
Second Order Recurrence with Non-Constant Coefficients
Date: 05/27/2005 at 15:47:18
From: Bassam
Subject: second order recurrence with non constant coefficient
Hello. I ran into this second order recurrence relation with no
constant coefficients and I was wondering what would be the best way
to get a closed form sol... | 5 | [
-0.06982421875,
-0.035888671875,
0.04638671875,
0.06298828125,
-0.0498046875,
0.0341796875,
-0.1357421875,
-0.08642578125,
0.008544921875,
-0.042724609375,
0.0084228515625,
-0.060302734375,
-0.11962890625,
-0.018310546875,
-0.0184326171875,
-0.0274658203125,
0.03076171875,
-0.00531... | 40,653 | 40653 | |
Approximating operators on Banach spaces by bounded operators on a proper dense subspace
up vote 11 down vote favorite
5
While digging through old piles of notes and jottings, I came across a question I'd looked at several years ago. While I was able to get partial answers, it seemed even then that the answer should b... | 5 | [
-0.041259765625,
0.04248046875,
0.03515625,
0.0181884765625,
-0.01519775390625,
0.08203125,
0.0654296875,
-0.0029296875,
-0.0242919921875,
0.0233154296875,
0.0089111328125,
-0.018798828125,
0.0019378662109375,
-0.0242919921875,
-0.002960205078125,
-0.024658203125,
0.0439453125,
0.0... | 40,654 | 40654 | |
Estimate probability( 0 is in the convex hull of N random points ) ?
up vote 3 down vote favorite
2
Can anyone estimate N such that Prob( 0 is in the convex hull of $N$ points ) >= .95
for points uniformly scatterered in $[-1,1]^d$, $d = 2, 3, 4, 10$ ?
The application is nearest-neghbour interpolation: given values $... | 5 | [
-0.044189453125,
0.002410888671875,
-0.0091552734375,
-0.052734375,
0.0179443359375,
-0.05712890625,
0.060791015625,
0.000461578369140625,
0.01068115234375,
-0.00055694580078125,
-0.0673828125,
-0.0234375,
0.060546875,
-0.0079345703125,
-0.0205078125,
-0.01336669921875,
0.09521484375... | 40,655 | 40655 | |
Proving a messy inequality
up vote 10 down vote favorite
3
EDIT:
After much work I was able to reduce the inequality to a single variable function which I need to show is non-positive. That function is (for $0\leq p\leq\frac{1}{2}$) $$\frac{p^2(\log(p))^2 - (1-p)^
2(\log(1-p))^2}{1-2p} + \log(p)\log(1-p) + p\log(p)+(... | 5 | [
0.03173828125,
0.0078125,
0.05322265625,
-0.003143310546875,
-0.02685546875,
-0.055419921875,
0.015625,
0.014404296875,
0.005218505859375,
0.0498046875,
-0.111328125,
0.03759765625,
0.0634765625,
0.054443359375,
0.01055908203125,
0.00154876708984375,
0.019775390625,
-0.08447265625,... | 40,656 | 40656 | |
Solving differential equations by inspection!
November 11th 2012, 09:39 PM
tjsdndnjs
Solving differential equations by inspection!
I have this question 1. Solve the following DE’s, by inspection.
y’= -sin x
I Know that y=cos x and y'= -sin x. Then is y=cos x the answer? What does it mean when solve by i... | 4 | [
-0.1298828125,
-0.0673828125,
0.0245361328125,
0.072265625,
0.025390625,
0.046875,
-0.05322265625,
-0.052490234375,
-0.0145263671875,
0.01708984375,
0.107421875,
-0.03466796875,
-0.0255126953125,
-0.01019287109375,
-0.034912109375,
-0.0537109375,
-0.01806640625,
0.0286865234375,
... | 40,657 | 40657 | |
Euclid
Using the text of Sir Thomas Heath's translation of The Elements, I have graphically glossed Books I - IV to produce a reader friendly version of Euclid's Plane Geometry. The four books contain 115
propositions which are logically developed from five postulates and five common notions. In the first proposition, ... | 4 | [
-0.0458984375,
0.11474609375,
-0.0096435546875,
-0.08056640625,
-0.0810546875,
-0.0400390625,
0.0263671875,
0.03466796875,
0.01025390625,
0.014892578125,
0.005706787109375,
-0.0189208984375,
0.034423828125,
-0.0167236328125,
0.0191650390625,
0.0224609375,
-0.1044921875,
-0.01135253... | 40,658 | 40658 | |
Numeric analysis and approximation
January 19th 2009, 04:59 AM
tabularasa
Numeric analysis and approximation
Hi, Im not sure wether this question is under right area.
I have a problem, in a field on numeric analysis. I'm trying to understand pragmatically interpolation and extrapolation and other techniques... | 4 | [
0.015380859375,
0.0289306640625,
0.051025390625,
-0.10791015625,
0.0150146484375,
-0.0712890625,
0.06494140625,
0.0634765625,
-0.05517578125,
0.01953125,
-0.015869140625,
-0.0091552734375,
0.05908203125,
0.0634765625,
0.07080078125,
0.01470947265625,
0.005767822265625,
-0.025268554... | 40,659 | 40659 | |
Topological Spaces
4.1.1 Topological Spaces
Recall the concepts of open and closed intervals in the set of real numbers . The open interval includes all real numbers between 0 and , except 0 and . However, for either endpoint, an infinite
sequence may be defined that converges to it. For example, the sequence , , , ... | 4 | [
0.0115966796875,
-0.05322265625,
0.005889892578125,
0.026611328125,
0.005157470703125,
0.047607421875,
-0.03466796875,
0.01312255859375,
0.10400390625,
-0.07275390625,
-0.032470703125,
0.014892578125,
0.026611328125,
-0.0615234375,
0.068359375,
-0.0498046875,
0.03271484375,
-0.1357... | 40,660 | 40660 | |
series convergence by root test
April 7th 2009, 03:54 PM #1
Junior Member
Joined
Jan 2009
Posts
52
series convergence by root test
$<br /> \left(\frac{k}{k + 1}\right)^{k^2}<br />$
The book answer is confusing to me - I would think you could just take the limit of
$<br /> \frac{k}{k + 1}<br />$... | 5 | [
0.02880859375,
-0.02490234375,
0.01953125,
0.046875,
-0.022705078125,
-0.045166015625,
-0.05517578125,
-0.0625,
0.018310546875,
0.10205078125,
-0.029052734375,
0.00787353515625,
0.06494140625,
0.0240478515625,
-0.06689453125,
-0.0341796875,
0.01361083984375,
-0.07421875,
-0.00625... | 40,661 | 40661 | |
Chapter 14 Interval Estimation Confidence Intervals
Chapter 8 Interval Estimation / Confidence Intervals
-this is the technique used when we use a point estimator (sample estimate) to construct
an interval where we expect to find the population parameter with a certain probabi... | 5 | [
-0.0137939453125,
0.0595703125,
0.0537109375,
0.06787109375,
-0.0220947265625,
0.0220947265625,
-0.007293701171875,
0.09033203125,
0.064453125,
-0.0247802734375,
0.0137939453125,
-0.08544921875,
0.1201171875,
-0.11083984375,
0.0400390625,
-0.06005859375,
0.0556640625,
-0.072265625,... | 40,662 | 40662 | |
long enough interval of integers to solve a simultaneous congruence
up vote 23 down vote favorite
6
Let $a$, $b$ be two coprime natural numbers. Let $A \subseteq \{0,1,\ldots, a-1\}$ and $B \subseteq \{0,1,\ldots,b-1\}$ be two nonempty sets, which we think of as sets of residues mod $a$ and $b$
respectively.
I would ... | 5 | [
-0.045166015625,
0.0322265625,
-0.0196533203125,
-0.09423828125,
0.029052734375,
0.03271484375,
0.1298828125,
0.00494384765625,
-0.05078125,
-0.045166015625,
-0.0162353515625,
0.0224609375,
0.1484375,
0.00042724609375,
0.00101470947265625,
0.0130615234375,
0.0439453125,
-0.06933593... | 40,663 | 40663 | |
Very hard inequality
February 10th 2010, 09:10 AM #1
Very hard inequality
Use the inequalities $\sin \theta < \theta < \tan \theta$ for a suitable value of $\theta$ to show that $\pi$ lies between 3 and $2\sqrt{3}$.
Hello, roshanhero!
A fascinating problem . . .
Use the inequalities: $\sin \theta \... | 5 | [
-0.0517578125,
-0.07177734375,
0.01806640625,
0.0087890625,
-0.09521484375,
-0.007110595703125,
-0.05419921875,
0.0673828125,
0.037841796875,
0.00762939453125,
-0.0654296875,
-0.017578125,
0.0478515625,
0.042236328125,
0.01019287109375,
0.004913330078125,
0.052490234375,
0.01080322... | 40,664 | 40664 | |
Radioactive
July 10th 2006, 08:28 AM #1
Member
Joined
Jun 2006
Posts
165
The amount of a radioactive tracer remaining after t days is given by A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half
of the original amount to decay? M... | 4 | [
0.006195068359375,
0.07666015625,
0.0172119140625,
0.0281982421875,
-0.0224609375,
-0.09814453125,
0.031494140625,
0.08984375,
0.00138092041015625,
0.0400390625,
0.072265625,
-0.0400390625,
-0.01361083984375,
-0.00799560546875,
0.0118408203125,
0.0267333984375,
-0.0791015625,
-0.11... | 40,665 | 40665 | |
Cubic Equations
August 10th 2011, 01:23 AM #1
Newbie
Joined
Aug 2011
Posts
4
Cubic Equations
I have a cubic equation that I need to find a real solution to, does anyone have any ideas??
The equation is ((A/B)-1)*(((A/C)^2)-1)=2*(A/C)*((D*E)/F)
where -1 is actually -1 and not the inverse. All va... | 5 | [
-0.0771484375,
-0.0174560546875,
-0.0169677734375,
0.044677734375,
-0.06298828125,
0.00035858154296875,
-0.1123046875,
-0.003509521484375,
0.00579833984375,
0.03173828125,
0.01312255859375,
-0.12890625,
0.0184326171875,
0.07080078125,
0.00787353515625,
0.07470703125,
0.00546264648437... | 40,666 | 40666 | |
Characterizing forcings that don't add any dominating reals
up vote 7 down vote favorite
Regarding reals as functions from $\omega$ to $\omega$, let's say a real $f$ eventually dominates $g$ iff $(\exists n)(\forall m > n)[ f(m) > g(m)]$. Let's say that a (non-trivial separative) forcing
poset $P$ doesn't always add a... | 5 | [
-0.0257568359375,
-0.06884765625,
0.056884765625,
0.00872802734375,
0.050048828125,
0.06201171875,
-0.078125,
0.04833984375,
0.017822265625,
0.0250244140625,
-0.000858306884765625,
-0.00096893310546875,
0.0264892578125,
0.04345703125,
0.0771484375,
-0.0003681182861328125,
0.002212524... | 40,667 | 40667 | |
Directional Derivatives - O'Neil - Elementary Differential Geonetry - Ch 1
July 28th 2012, 04:02 AM #1
Directional Derivatives - O'Neil - Elementary Differential Geonetry - Ch 1
I am reading O'Neill: Elementary Differential Geonetry Ch 1. I am having a problem with Exercise 3 of Exercises 1.3 page 15, which I sus... | 5 | [
0.0166015625,
-0.01068115234375,
0.03076171875,
-0.07861328125,
0.1025390625,
-0.00054931640625,
0.0296630859375,
-0.058349609375,
-0.0125732421875,
0.002685546875,
0.05859375,
0.034423828125,
-0.06103515625,
0.00555419921875,
0.035888671875,
0.02880859375,
-0.11669921875,
-0.00805... | 40,668 | 40668 | |
Rectilinear Motion
August 11th 2010, 05:40 PM #1
Member
Joined
Feb 2010
From
United States
Posts
155
Thanks
1
Rectilinear Motion
The acceleration function and the initial velocity for a particle moving along a line are: a(t)= 2t + 3, v(0)= -4, 0<t<3
Find the distance traveled during the time... | 5 | [
-0.050537109375,
0.000827789306640625,
-0.03955078125,
-0.08154296875,
-0.052001953125,
0.09033203125,
-0.06201171875,
0.072265625,
-0.0260009765625,
0.0216064453125,
0.09521484375,
-0.08251953125,
-0.0294189453125,
0.0228271484375,
-0.0791015625,
-0.01544189453125,
0.04296875,
0.0... | 40,669 | 40669 | |
Quadratic Reciprocity Question
December 10th 2012, 06:31 AM
Tom337
Quadratic Reciprocity Question
I'm having trouble understanding the proof for 2 being a quadratic residue mod p <=> p = plus or minus 1 mod 8. I'm using the Springer Elementary Number Theory text. For (=>), the text says (p^
2-1)/8 is even <=... | 5 | [
-0.0244140625,
0.0634765625,
0.11083984375,
0.023193359375,
0.0673828125,
0.00162506103515625,
0.0203857421875,
0.1044921875,
-0.01318359375,
-0.02734375,
0.006988525390625,
0.056884765625,
0.030517578125,
0.07666015625,
-0.09375,
0.0103759765625,
0.0198974609375,
-0.048828125,
-... | 40,670 | 40670 | |
Math Help
October 24th 2009, 09:10 AM #1
Member
Joined
Oct 2008
Posts
83
question
hello everyone, I dont know how to do this question
(i) For n belongs to IN+, show that n^2 + n + 1 is never a square in IN+
(ii) Find all r in Z (integers) such that r^2 + r +1 is a squre in Z(integers)
Can ... | 4 | [
-0.0206298828125,
0.12890625,
0.07470703125,
0.08544921875,
0.0303955078125,
0.059814453125,
0.03271484375,
0.050048828125,
0.035888671875,
-0.12451171875,
-0.0849609375,
0.033447265625,
0.08740234375,
0.049560546875,
-0.08203125,
-0.1015625,
0.052490234375,
-0.0072021484375,
0.0... | 40,671 | 40671 | |
Combinations with repetition (I think)
December 29th 2012, 09:12 AM
gdmath
Combinations with repetition (I think)
Long time no see...
My greetings to all forum users.
I know that if we have $k$ identical sets that each one of them has $n$ objects and we want to pick $k$ objects, one from each set, how m... | 4 | [
0.06396484375,
-0.027587890625,
-0.05126953125,
-0.0303955078125,
-0.03857421875,
0.049560546875,
0.057861328125,
-0.0000247955322265625,
0.01446533203125,
0.0267333984375,
-0.0732421875,
-0.004180908203125,
0.0301513671875,
-0.0185546875,
-0.007171630859375,
0.052978515625,
0.053955... | 40,672 | 40672 | |
Math Help
April 10th 2009, 09:07 AM #1
Junior Member
Joined
Mar 2009
Posts
65
Related Rates
Ok i have 2 problems that i am stuck on. Please show me how to work this out as compared to simply posting the answer, thanks.
1. A light is affixed to the top of a 12 foot tall lamp-post. A 6 foot tall man... | 5 | [
-0.044677734375,
0.062255859375,
0.013671875,
-0.048095703125,
0.00726318359375,
-0.0654296875,
-0.034912109375,
0.0380859375,
-0.016845703125,
0.01318359375,
0.04541015625,
-0.006988525390625,
-0.022216796875,
0.078125,
0.007110595703125,
0.087890625,
-0.03271484375,
0.07080078125... | 40,673 | 40673 | |
General Solutions
August 2nd 2008, 12:02 AM #1
General Solutions
I have no idea about general solutions since i have never seen them, What are all the general solutions that i must memorize to answer all questions?
and how do i apply these general solutions in this question:
Find all values of x for whi... | 4 | [
-0.0771484375,
-0.0004558563232421875,
0.0478515625,
0.08544921875,
-0.004791259765625,
0.05712890625,
0.06787109375,
0.0225830078125,
0.012939453125,
-0.05810546875,
0.080078125,
-0.03857421875,
-0.00077056884765625,
0.031982421875,
0.025390625,
-0.07470703125,
0.038330078125,
-0.... | 40,674 | 40674 | |
Haskell cartesian product of infinite lists
up vote 13 down vote favorite
3
I want to generate a vectorspace from a basis pair, which looks something like:
genFromPair (e1, e2) = [x*e1 + y*e2 | x <- [0..], y <- [0..]]
When I examine the output though, it sems like I'm getting [0, e2, 2*e2,...] (i.e. x never gets abo... | 5 | [
0.00445556640625,
0.0034332275390625,
-0.055419921875,
0.01904296875,
-0.00579833984375,
-0.041015625,
0.0751953125,
-0.039794921875,
-0.06591796875,
-0.10009765625,
0.0228271484375,
-0.0264892578125,
0.10107421875,
0.03369140625,
-0.01043701171875,
0.02587890625,
0.07763671875,
-0... | 40,675 | 40675 | |
Derivation with Bayes theorem
October 6th 2012, 04:14 AM #1
Junior Member
Joined
Jul 2011
Posts
53
Derivation with Bayes theorem
I'm afraid this is hopelessly trivial, but I'm not able to see why the following holds:
$Pr(X | Y \land Z) = Pr(X | Z) \Rightarrow Pr(Y | X \land Z) = Pr(Y | Z)$
Coul... | 5 | [
-0.038818359375,
-0.029541015625,
0.0277099609375,
0.03173828125,
0.06103515625,
-0.057861328125,
0.06689453125,
-0.0311279296875,
-0.033447265625,
0.0146484375,
0.0634765625,
0.0267333984375,
0.11181640625,
0.06298828125,
0.03564453125,
0.12060546875,
-0.0220947265625,
0.030029296... | 40,676 | 40676 | |
Sorting Out the Genome
COMPUTING SCIENCE
Sorting Out the Genome
To put your genes in order, flip them like pancakes
Ordering Breakfast
Before getting tangled up in loopy strands of DNA, consider a warm-up exercise: flipping pancakes. You are given a stack of n pancakes, no two the same diameter, and asked to sort t... | 4 | [
-0.0361328125,
-0.060302734375,
0.01806640625,
-0.080078125,
-0.0546875,
-0.01904296875,
-0.06884765625,
0.0206298828125,
-0.0012359619140625,
0.015625,
-0.026123046875,
0.058349609375,
-0.047119140625,
-0.0164794921875,
-0.08740234375,
0.044189453125,
-0.03662109375,
-0.0092163085... | 40,677 | 40677 | |
Probability for a Given Distribution of Objects
Date: 7/24/96 at 16:4:8
From: Ariel Di Miro
Subject: Probability for a Given Distribution of Objects
1) A man has a box of light bulbs to sell. 80 percent of these bulbs
are class 'A', and 20% are class 'B'. The 'A' bulbs have a lifetime of
2400 hours, while 'B' bulbs ... | 5 | [
0.0247802734375,
0.07568359375,
0.029541015625,
-0.01171875,
-0.04345703125,
-0.050048828125,
0.03662109375,
0.03369140625,
-0.05712890625,
0.06884765625,
0.0478515625,
-0.0074462890625,
0.0673828125,
0.052001953125,
0.00860595703125,
0.021484375,
-0.0213623046875,
-0.08935546875,
... | 40,678 | 40678 | |
Prove limit of x^5 = a^5 using epsilon delta
December 14th 2011, 10:17 PM
lamp23
Prove limit of x^5 = a^5 using epsilon delta
$\lim_{x\to a}x^5=a^5$
I understand that the power rule for limits could be used here but my teacher wants it done using the epsilon delta definition.
1st attempt (though I thin... | 4 | [
0.0155029296875,
0.00009107589721679688,
0.0286865234375,
0.0048828125,
0.0037689208984375,
-0.04443359375,
0.026611328125,
-0.08154296875,
0.01031494140625,
-0.00372314453125,
0.11083984375,
-0.0213623046875,
0.03955078125,
-0.00457763671875,
0.0263671875,
0.0634765625,
0.0283203125... | 40,679 | 40679 | |
Data Structures: Kruskal's Algorithm
In this tutorial, we will examine Kruskal's algorithm for finding a Minimum Spanning Tree from a Graph. To begin, a minimum spanning tree is an acyclic graph that connects all the vertices in the
Graph so that the sum of their weights is minimized. For this algorithm, the weights ar... | 4 | [
-0.08349609375,
0.1181640625,
-0.0157470703125,
0.033203125,
-0.04541015625,
-0.10009765625,
-0.035888671875,
-0.004669189453125,
-0.01385498046875,
0.060546875,
-0.042724609375,
0.031982421875,
0.06005859375,
0.00860595703125,
-0.09619140625,
0.030517578125,
-0.0208740234375,
0.02... | 40,680 | 40680 | |
Math Forum Discussions - Re: -1 x -1 ?
Date: Sep 16, 1999 6:19 PM
Author: Dave Seaman
Subject: Re: -1 x -1 ?
In article <937516347.13527.0.nnrp-14.c2debf68@news.demon.co.uk>,
Guillermo Phillips <Guillermo.Phillips@marsman.demon.co.uk> wrote:
>Hello All,
>
>Here's something I've always wondered (perhaps in my naivety... | 4 | [
-0.1357421875,
-0.0206298828125,
0.061279296875,
0.048095703125,
-0.005096435546875,
-0.06640625,
0.06494140625,
0.0125732421875,
0.064453125,
-0.0235595703125,
0.056640625,
-0.029296875,
0.08447265625,
-0.00787353515625,
-0.0771484375,
-0.058837890625,
-0.0067138671875,
-0.1416015... | 40,681 | 40681 | |
Proving a metric space with a particularly strange distance is bounded and separable.
October 8th 2013, 09:05 PM #1
Newbie
Joined
Oct 2013
From
New York
Posts
3
Proving a metric space with a particularly strange distance is bounded and separable.
Hi everyone! I'm trying to solve a problem related to ... | 5 | [
-0.08837890625,
-0.049560546875,
0.00531005859375,
-0.10498046875,
0.0086669921875,
0.0654296875,
0.0517578125,
-0.0125732421875,
0.003662109375,
-0.08203125,
0.055908203125,
0.017578125,
0.0021514892578125,
-0.027587890625,
-0.0042724609375,
0.00335693359375,
0.08740234375,
-0.065... | 40,682 | 40682 | |
not sure which on to choose
June 6th 2008, 03:56 AM
crashuk
not sure which on to choose
) A tyre manufacturer claims that his new steel-belted tire has a mean life expectancy of 40,000 miles. A consumer association decides to test these claims against the alternatives that the mean
life expectancy is less th... | 5 | [
0.06787109375,
0.068359375,
0.0264892578125,
-0.00347900390625,
-0.0042724609375,
-0.0096435546875,
-0.09521484375,
0.1767578125,
-0.0157470703125,
0.04150390625,
0.047607421875,
-0.036376953125,
0.04345703125,
-0.0086669921875,
-0.0206298828125,
0.068359375,
0.0224609375,
-0.0625,... | 40,683 | 40683 | |
non exact equation
November 17th 2010, 07:29 AM #1
MHF Contributor
Joined
Nov 2008
Posts
1,401
non exact equation
(2x-4y+6)dx+(x+y-3)dy=0
i cant make integration cofficient
because
(P_y-Q_x)/P is not a function of x and so is the other one
??
how to solve it
If my memory serve... | 4 | [
-0.0439453125,
-0.01416015625,
0.015625,
-0.00592041015625,
-0.0191650390625,
0.0830078125,
0.044677734375,
-0.0625,
0.033203125,
0.0546875,
0.0478515625,
-0.0167236328125,
-0.057861328125,
0.09423828125,
0.068359375,
0.02880859375,
-0.11865234375,
0.09716796875,
-0.080078125,
... | 40,684 | 40684 | |
or
Algorithm::AM::lattice - How to store and manipulate large lattices in C
version 3.02
The Analogical Modeling (AM) algorithm requires constructing and traversing large completely distributive lattices, also known as Boolean algebras. This document tells how we do it in Parallel.xs.
A lot of what appears below cou... | 4 | [
-0.004119873046875,
0.01904296875,
-0.053466796875,
-0.03271484375,
-0.04296875,
-0.0771484375,
-0.02294921875,
-0.04931640625,
-0.0213623046875,
0.03857421875,
-0.056640625,
0.0048828125,
0.09130859375,
0.036376953125,
-0.032958984375,
0.0322265625,
0.04052734375,
0.072265625,
-... | 40,685 | 40685 | |
Show that if f is uniformly continuous on a bounded interval I, then
Show that if f is uniformly continuous on a bounded interval I, then f is bounded on I.
let I =[a,b] a<b. Since f is uniformly continuous on [a,b] we have : for all ε>0 there exists a δ>0 and such that: for all x.yε[a,b] and |x-y|<δ ,then |f(x)-f(y)|... | 5 | [
-0.004425048828125,
0.019287109375,
-0.0185546875,
-0.0810546875,
-0.054443359375,
0.0201416015625,
0.05322265625,
0.0419921875,
-0.07568359375,
-0.03369140625,
-0.0791015625,
-0.0341796875,
0.04150390625,
0.0732421875,
0.06298828125,
-0.00848388671875,
0.0810546875,
-0.07421875,
... | 40,686 | 40686 | |
Residually finite + torsion free + finite index = finite complex?
up vote 7 down vote favorite
2
Suppose $G$ is a residually-finite group and $H < G$ a torsion-free subgroup of finite index.
What characterizes such $G$ such that $BH$ is homotopic to a finite complex?
I believe Serre showed that if $G$ is arithm... | 4 | [
-0.08447265625,
0.0306396484375,
-0.0184326171875,
0.07080078125,
-0.002105712890625,
0.0791015625,
0.041259765625,
-0.091796875,
-0.0126953125,
-0.0296630859375,
0.040283203125,
0.0146484375,
0.0213623046875,
-0.08984375,
-0.06591796875,
-0.0693359375,
-0.0712890625,
0.00616455078... | 40,687 | 40687 | |
Maximal euler characteristic of surfaces bounding two fixed curves
up vote 14 down vote favorite
2
Let $\gamma_0$ and $\gamma_1$ be two simple closed curves in a closed surface $S$.
What is the maximum Euler characteristic of a compact properly embedded surface $\Sigma \subset S\times [0,1]$ such that $\partial \... | 4 | [
0.002593994140625,
-0.080078125,
0.0233154296875,
-0.031005859375,
-0.004730224609375,
-0.0244140625,
0.07861328125,
0.1435546875,
-0.08056640625,
-0.04296875,
0.01611328125,
0.03466796875,
0.08935546875,
-0.02001953125,
-0.0185546875,
0.0177001953125,
-0.010498046875,
-0.049072265... | 40,688 | 40688 | |
implicit diff. question
December 6th 2009, 09:37 AM #1
Member
Joined
Oct 2009
Posts
229
implicit diff. question
$(x+y)^3 = x^3 + y^3$ at the point (-1,1). We need to find y' ... what do?
Here's what I did, please tell me where I went wrong.
3(x+y)^2 (1+y') = 3x^2 + 3y^2 y'
How do I proceed... | 4 | [
-0.06494140625,
-0.041748046875,
-0.0213623046875,
0.0155029296875,
0.021728515625,
0.0042724609375,
0.060302734375,
-0.078125,
0.03564453125,
-0.06884765625,
0.1298828125,
-0.029296875,
-0.028564453125,
-0.044921875,
-0.0159912109375,
-0.01409912109375,
-0.08447265625,
-0.01928710... | 40,689 | 40689 | |
Error propagation and the distance to the sun
Some time ago, I wrote about the awesome things the Greeks did in astronomy. Basically they calculated the size of the Earth, distance and size of the moon and distance and size of the sun. The value
obtained for the distance to the sun was a bit off, but still a bang up jo... | 5 | [
0.039794921875,
0.0927734375,
0.051513671875,
0.01129150390625,
-0.07080078125,
-0.154296875,
-0.0023651123046875,
0.07080078125,
-0.0274658203125,
-0.03369140625,
0.007659912109375,
-0.054443359375,
0.056884765625,
0.0120849609375,
-0.04833984375,
-0.054931640625,
-0.031982421875,
... | 40,690 | 40690 | |
Problem help
March 17th 2010, 03:36 PM #1
Newbie
Joined
Oct 2009
Posts
3
Problem help
I would appreciate it if someone could help me solve or at least steer me in the right direction, thanks.
1)The daily high temperature at a particular resort destination during peak summer mounths follows a normal ... | 5 | [
-0.039306640625,
0.0299072265625,
0.1552734375,
0.018798828125,
0.00653076171875,
-0.05126953125,
0.04638671875,
0.08349609375,
-0.030517578125,
0.035888671875,
0.026611328125,
-0.10400390625,
0.1171875,
-0.024169921875,
0.1142578125,
0.0306396484375,
-0.0673828125,
-0.0654296875,
... | 40,691 | 40691 | |
Prove the height given a diagonal is in d metres ... help please :(-
November 15th 2011, 02:15 AM #1
Newbie
Joined
Nov 2011
Posts
7
Prove the height given a diagonal is in d metres ... help please :(-
Hi all,
Am trying to help my autistic son with his review and one of the question is as per the att... | 4 | [
0.047119140625,
0.1259765625,
-0.026611328125,
-0.11865234375,
0.0159912109375,
0.0634765625,
-0.06640625,
0.0869140625,
-0.047119140625,
-0.0107421875,
0.061279296875,
-0.040283203125,
-0.02001953125,
0.044677734375,
-0.05126953125,
0.0166015625,
0.0128173828125,
0.1376953125,
-... | 40,692 | 40692 | |
finite, separable
March 1st 2010, 01:43 PM
Krahl
finite, separable
Hi
I'm trying to prove the following theorem.
Theorem;
Suppose K,L,M are fields with K subset of L subset of M such that M:K (field extension) is algebraic and separable. Then both L:K and M:L are algebraic and seperable.
Proof:... | 4 | [
0.0235595703125,
0.004150390625,
0.005157470703125,
0.022705078125,
0.058349609375,
0.0185546875,
0.057861328125,
-0.006683349609375,
-0.0289306640625,
-0.024169921875,
0.007598876953125,
0.01141357421875,
0.041015625,
-0.01531982421875,
0.0250244140625,
0.0859375,
-0.04345703125,
... | 40,693 | 40693 | |
conjugate complex
Hey All, Can someone help with the attached pic. Thanks
Find all z satisfying: 3 z z' + 2(z-z') =39 +12 j where z' denotes the complex conjugate of z. i. z z' = |z|^2 ii. z-z' = 2 j Im(z) Hence we have |z|^2 = 39, and 2 Im(z) =12. Now write z=a+jb, then a
^2+b^2 = 39, and b=6, so: a^2 = 3, hence a=+/... | 4 | [
-0.05224609375,
0.04931640625,
-0.0247802734375,
0.004974365234375,
-0.06103515625,
0.009033203125,
0.048095703125,
0.035400390625,
-0.00994873046875,
0.00131988525390625,
0.08935546875,
0.030029296875,
0.068359375,
-0.007049560546875,
-0.000331878662109375,
-0.006072998046875,
-0.09... | 40,694 | 40694 | |
quadratic equation
It factors to ( x - 1 )* ( x + 2 )* ( x - 3 ) = 0 I bet you can get it from there
What is that property or rule or "definition"? Anyway, always test the sum of all the numerical coefficients first. If they add up to zero, then x = 1 is a root. x^3 -2x^2 -5x +6 = 0 1 -2 -5 +6 = 0
-----------------so ... | 4 | [
-0.02685546875,
-0.02685546875,
-0.0311279296875,
0.0634765625,
0.028076171875,
0.0189208984375,
-0.035400390625,
-0.02880859375,
0.016357421875,
-0.043701171875,
0.0517578125,
-0.0791015625,
0.037353515625,
-0.0206298828125,
0.00811767578125,
0.0233154296875,
-0.08935546875,
0.053... | 40,695 | 40695 | |
Harmonic Functions
up vote 4 down vote favorite
Suppose f: RxR -> R is has continuous partial derivatives and
4* f(x,y)=f(x+del,y+del)+f(x-del,y+del)+f(x-del,y-del) + f(x+del,y-del)
for all (x,y) in RxR and all del in R.
I dont believe that f is necessarly harmonic but I cannot construct a counter example. Is f har... | 5 | [
-0.033447265625,
-0.001708984375,
0.01507568359375,
-0.034423828125,
-0.01385498046875,
0.0252685546875,
-0.08740234375,
-0.045654296875,
0.019775390625,
0.02490234375,
0.03857421875,
-0.06884765625,
0.000007241964340209961,
-0.0274658203125,
0.0791015625,
-0.0274658203125,
-0.070800... | 40,696 | 40696 | |
Finding the equation of lines
September 24th 2009, 04:55 PM
~NeonFire372~
Finding the equation of lines
A bit confused on this:
1. Find the equation of the line between the points (9, -9) and (-5, -2).
m=y2-y1 -2 - -9 7 = -1
--------- (over) --------- ---- ----
x2-x1 -5 - -9 -14 2
y=-1/2x+... | 4 | [
-0.0458984375,
-0.0361328125,
-0.0026397705078125,
0.0220947265625,
0.0693359375,
0.03662109375,
0.02783203125,
0.07177734375,
-0.06298828125,
-0.015625,
0.0322265625,
-0.06787109375,
0.017578125,
-0.0147705078125,
-0.0294189453125,
0.1044921875,
-0.07470703125,
-0.06298828125,
0... | 40,697 | 40697 | |
Direct Product
January 16th 2011, 02:13 PM #1
Newbie
Joined
Mar 2010
Posts
4
Direct Product
Given two matrices $A=\{A_{ij}\}_{n \times m} , B=\{B_{kl}\}_{P \times Q}$, how do i define the direct product of $A \otimes B$?
I understand what it means, $(A \otimes B)_{ij} = A_{ij}B$ but how do i define ... | 4 | [
-0.00003504753112792969,
-0.049072265625,
-0.0751953125,
-0.041748046875,
-0.09619140625,
0.03515625,
0.0673828125,
-0.00811767578125,
-0.0169677734375,
-0.019775390625,
-0.032470703125,
-0.025634765625,
0.0673828125,
0.0888671875,
0.03271484375,
0.2001953125,
0.018310546875,
0.024... | 40,698 | 40698 | |
continuous random variables
October 19th 2009, 05:20 AM
Mathew
continuous random variables
A continuous random variable Y has cdf
F(y) = a + ay / 2, − 2 < y < 0
1− be− cy 3 , y > 0
(a)
Sketch the cdf when a = 1/2, b = 1/2 and c = 1.
Then derive Y's pdf generally, and sketch it when a = 1/2... | 4 | [
-0.0078125,
-0.019775390625,
-0.032470703125,
-0.060302734375,
0.0301513671875,
-0.01708984375,
0.01025390625,
0.005096435546875,
-0.00372314453125,
0.039794921875,
-0.032958984375,
-0.037353515625,
0.047119140625,
0.07568359375,
0.0380859375,
0.0147705078125,
-0.053466796875,
-0.1... | 40,699 | 40699 |