content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Power Series of -ln(1-x)/x?
November 13th 2010, 02:37 PM #1
Newbie
Joined
Nov 2010
Posts
1
From the list of basic power series: $-ln(1-x) = x + \frac{x^2}{2} +\frac{x^3}{3} + \frac{x^4}{4} +...$
How do you write a power series for $f(x)= \frac{-ln(1-x)}{x}$ ?
Using the result how do you write a ... | 5 | [
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0.06298828125,
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0.00787353515625,
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0.0179443359375,
0.033935546875,
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0.017578125,
0.004425048828125,
-0.045166015625,
0.0269775390625,
-0.047119140625... | 9,300 | 9300 | |
Operators from $L^{\infty}$ to $L^{\infty}$
up vote 5 down vote favorite
1
If $T$ defined as $T(f)(x)=\int K(x,y)f(y)dy$, where $K(x,y)$ is locally integrable, is bounded from $L^{\infty}$ to $L^{\infty}$, how can we show that $\|\int|K(\cdot,y)|dy\|_{L^{\infty}}\le \|T\|_
{L^{\infty}\rightarrow L^{\infty}}$?
This pr... | 5 | [
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0.0264892578125,
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0.0087890625,
-0.06787109... | 9,301 | 9301 | |
Algebra in Pre-Calc
If f(x)=(x-B)/(x=A) and f(2)=0 and f(1) is undefined what is A and B?
If f(2) is 0 then that means the top is 0 so 2 - B is 0. Which means B is ...? If f(1) is undefined, that means the bottom is 0 so whatever the bottom was supposed to be is 0, which means A is ...?
You meant $f(x)=\frac{x-B}{x-A... | 4 | [
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0.044921875,
-0.072265625,
-0.0644531... | 9,302 | 9302 | |
Eclipses & Ellipsoids
May 27th 2006, 11:36 PM #1
Newbie
Joined
May 2006
Posts
5
Eclipses & Ellipsoids
OK, it all started when my Geomotry teacher was curious about the area of an elipse, so I got thinking. Here are a few of my ides, tell me what you think, and any possible counter examples. I am
curi... | 4 | [
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0.006011962890625,
0.0673828125,
0.0279541015625,
0.008... | 9,303 | 9303 | |
Dedekind eta function identity involving two complex variables
up vote 1 down vote favorite
Given the Dedekind eta function $\eta(\tau)$ and complex numbers a,b with imaginary part > 0, anybody knows how to prove the proposed identity,
$$\sum_{k=0}^{p-1} e^{2\pi i k/4}\eta^3\big(\tfrac{a+k}{p}\big)\eta^3\big(\tfrac{b... | 4 | [
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0.021728515625,
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0.03662109375,
-0.0146484375... | 9,304 | 9304 | |
Help with trig and radians
Fidn all the values of θ with θ_< θ< 2pi such that sin(3θ)= -0.5
Last edited by mr fantastic; July 12th 2010 at 06:34 PM. Reason: Deleted excessive ?'s in post title.
Two questions: 1. Is that $0<\theta<2\pi$? 2. What have you done so far?
1. Yep that's right. 2. I haven't done anything ye... | 4 | [
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... | 9,305 | 9305 | |
Polynomial squaring ladders
July 20th 2009, 02:26 PM #1
Member
Joined
Jun 2008
Posts
148
Polynomial squaring ladders
Consider the polynomial below:
((x^2 - 85)^2 - 4176)^2 - 2880^2 = (x^2 - 1)*(x^2 - 11^2)*(x^2 - 13^2)*(x^2 - 7^2)
This polynomial could be considered a ''type 3'' polynomial,sinc... | 5 | [
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0.08203125,
-0.07910156... | 9,306 | 9306 | |
Unique Geodesic
April 1st 2007, 07:41 PM
ThePerfectHacker
Unique Geodesic
My book defines, the Riemannian Metric (below) for hyperbolic geometry.
Given a set of points say in R^2 defined by the Riemannian Metric, is there always a geodesic between them? Furthermore, is it unique. (My book never mentions tha... | 4 | [
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-0.0732421875... | 9,307 | 9307 | |
Ratio question, please help
August 14th 2009, 08:59 PM #1
Newbie
Joined
Aug 2009
Posts
7
Ratio question, please help
There are 3 crates of apples A, B and C. The ratio of the number of apples in crate A to crate B to crate C is 8 : 5 : 3. David removed 42 apples from crate A and placed them into crate C.... | 4 | [
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0.04... | 9,308 | 9308 | |
Integration Problem
antiderivative of [(sinx)^2 - (cosx)^2] / [sinx] dx Do I start by splitting up? use u-sub situation?
You have $\int \! \frac{1 - 2 \cos^2 x}{\sin x} \, dx$. Substitute $u = \cos x \Rightarrow dx = - \frac{du}{\sin x}$. So you get $\int \! \frac{1 - 2 u^2}{\sin^2 x} \, (-du) = \int \! \frac{2 u^2 -
... | 5 | [
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0.116699... | 9,309 | 9309 | |
Inverse of a Multivariate Function
Date: 05/30/2002 at 10:17:15
From: Subha
Subject: calculus
Let f: NxN->N such that
f(x,y) = 2^x(2y + 1) - 1
for all natural numbers x, y. Let the inverse of f, g be given by
g:N->NxN. Find g.
Date: 05/30/2002 at 13:18:17
From: Doctor Peterson
Subject: Re: calculus
Hi, Subha.... | 5 | [
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Newton's Method Calculator
Find the roots between 0 and 1 of the equation x^3− 5x + 2 = 0 correct to three decimal places.
Step 1 :
The given function is: x^3 - 5x + 2 = 0,
Initial point x[o] = 0,
no of decimal places n = 3.
Step 2 :
f(0) = 0^3 - 5(0) + 2 = 2
f(1) = 1^3 - 5(1) + 2 = -2
The Root lies betw... | 5 | [
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Probability of Being Born on Monday
Date: 8/26/96 at 12:1:19
From: Robert Ferra
Subject: Probability of being born on Monday
Dear Dr. Math:
Could I please get your take on the following problem:
To the nearest percent, the probability that any one person selected
at random was born on a Monday is 14 percent. What... | 5 | [
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... | 9,312 | 9312 | |
Finding the sum, verify my answer please.
Hello, Can someone please verify my answer? Here's what I got: 8/2e-10 Thanks,
\displaystyle \begin{align*} \sum_{n = 1}^{\infty}\left[\frac{5}{e^n} + \frac{3}{n(n + 1)}\right] &= 5\sum_{n = 1}^{\infty}\left(\frac{1}{e}\right)^n + 3\sum_{n = 1}^{\infty}\left(\frac{1}{n} - \fra... | 5 | [
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-0.07... | 9,313 | 9313 | |
Combinatorics
April 27th 2010, 07:54 PM #1
Member
Joined
May 2008
Posts
87
Combinatorics
How many ways are there to put 9 distinguishable objects into 5 distinguishable slots such that two particular objects (from the same 9 distinguishable objects) are placed next to each other
among the 5 slots?
... | 4 | [
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Fluid Pressures/Statics
December 14th 2007, 08:42 AM
akhayoon
Fluid Pressures/Statics
THE QUESTION IS POSTED ON THE ATTACHMENT FILE BELOW
1. The problem statement, all variables and given/known data
density of the gates is 4000 kg/m^3
width of the gate is 6m
2. Relevant equations
Static E... | 4 | [
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0.01... | 9,315 | 9315 | |
Water flowing into hemisphere rates
January 21st 2006, 07:44 PM #1
Water flowing into hemisphere rates
Water is flowing into a hemispherical container of radius 10cm at a constant rate of 6cm³ per second. It is known that the forumla for the volume of a solid segment cut off a sphere is
$<br /> V = \frac{\pi}... | 5 | [
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0.066... | 9,316 | 9316 | |
Finding the Maximum Area of a Rectangle
Date: 1/28/96 at 18:35:47
From: Anonymous
Subject: Grade 12 Calculus
The sides of a triangle are 10cm, 10cm and 12cm. A rectangle is
inscribed in the triangle, with one side on the 12cm side of the
triangle. The other two vertices of the rectangle are on the 10cm
sides. Fin... | 5 | [
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0.0556640625... | 9,317 | 9317 | |
definite integral, evaluation
If you know the result of this famous integral : $\int_0^{\frac{\pi}{2} } \ln[\sin(x)]~dx = -\frac{\pi}{2}\ln{2}$ what to do with your problem is changing $1 + \cos(x)$ to $2 \cos^2(\frac{x}{2})$ ,
and remind that $\int_0^{\pi } \ln[\cos(\frac{x}{2})] ~dx = 2 \int_0^{\frac{\pi}{2} } \ln[\c... | 5 | [
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0.00120544... | 9,318 | 9318 | |
definite integrate
evaluate $\int^{\frac{\pi}{3}}_0(sinx-cosx)^2 dx$ what i did $\int^{\frac{\pi}{3}}_0(sinx-cosx)^2 dx=[\frac{(sinx-cosx)^3}{3(-cosx-sinx)}]^{\frac{\pi}{3}}_0$ is this right?
I think you can treat it as: $\int (f(x))^n dx = \frac{f^{(n+1)}(x)}{(n+1)(f'(x))}$ EDIT: After you edited your post, yes, that... | 5 | [
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0.011047... | 9,319 | 9319 | |
differential equation
February 8th 2009, 09:17 AM
razorfever
differential equation
If we assume that a person's weight depends on the energy consumed minus energy ued, one model is that weight changes in proportion to the difference, so:
dw/dt = k(C - 38.5w) where w(0) = w subscript 0
where w(t) kg is ... | 5 | [
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0.04858398... | 9,320 | 9320 | |
Product of normal PDFs
The product of two normal PDFs is proportional to a normal PDF. This is well known in Bayesian statistics because a normal likelihood times a normal prior gives a normal posterior. But because
Bayesian applications don’t usually need to know the proportionality constant, it’s a little hard to fi... | 4 | [
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0.0888671875... | 9,321 | 9321 | |
line equation in vectors
February 6th 2013, 07:54 AM #16
Banned
Joined
Aug 2010
Posts
961
Thanks
98
Re: line equation in vectors
r = a + λc is equation of line through a in dir of c. r is vector from origin to a point on line and λ is arbitrary parameter. A simple sketch makes this clear.
Let i, ... | 5 | [
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Investigation Involving Square Root of 2
Date: 07/09/2001 at 14:14:43
From: Loka
Subject: Further investigation involving Square root of 2
Please Dr. Math, can you help me on this problem?
I have had to work out: (1+sqrt(2))^2 = 1 + 2(sqrt(2) + 2).
I have gone on to work out (1+sqrt(2))^4, and then (1+sqrt(2))^8 i... | 5 | [
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... | 9,323 | 9323 | |
Seeking Noetherian normal domain with vanishing Picard group but not a UFD
up vote 11 down vote favorite
3
Once again, the question says it all.
My motivation is the article on factorization I am writing. I want to explain (as well as to understand!) why for normal Noetherian domains of dimension greater than one, th... | 5 | [
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Help Solving Integral
February 20th 2009, 12:47 PM #1
Member
Joined
Feb 2009
Posts
125
Help Solving Integral
Before I ask the problem, I also want to know how to post or what program to use to show the integral sign and square root sign etc...
Now to the problem
X^7 / fifth root of 2X^4+5
... | 5 | [
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-0.00352478027... | 9,325 | 9325 | |
Surface Integral Qu
July 27th 2008, 12:55 PM #1
Newbie
Joined
Jul 2008
Posts
3
Surface Integral Qu
Hi, I am new to this forum and would be grateful if anyone could help me in this surface integral question.
Find the area of the surface of the cone z^2=3(x^2+y^2) cut out by the paraboloid z=x^2+y^2.
... | 5 | [
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-0.0299072265625,
0.0284423828125,
-0.0167236328125,
0.040771484375,
-0.123046875,
0.0... | 9,326 | 9326 | |
Percentage Increase vs. Percentage
Date: 05/13/2003 at 13:57:36
From: Diane Portantiere
Subject: Percentage increase
If there were 10,000 claims in 2001, and that is a 300 percent
increase since 1999, how many claims were there in 1999?
My colleagues are giving me all different answers. I think the answer
is 2,500. ... | 4 | [
-0.058349609375,
-0.0216064453125,
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0.072265625,
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0.021... | 9,327 | 9327 | |
modulo arithmetic
April 13th 2010, 03:56 AM
aman_cc
modulo arithmetic
This question is inspired from a earlier post on this forum.
Prove that if
x.y = -1 mod 24
Then, prove
x = -y mod 24.
Is there a smart way to do this? All I could do was enlist the distinct values for x,y and prove the... | 4 | [
-0.08447265625,
0.0286865234375,
0.006134033203125,
0.0235595703125,
0.0022735595703125,
-0.0191650390625,
0.09423828125,
-0.0089111328125,
-0.053466796875,
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0.04443359375,
0.032958984375,
0.0712890625,
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0.032470703125,
0.037841796875,
-0.06494140625,
... | 9,328 | 9328 | |
geometry problem
November 19th 2008, 07:55 AM #1
Junior Member
Joined
Oct 2008
Posts
73
geometry problem
1. pic 7
A. 7
B. 21
C. 26
D. 52
2. Pic 8
A. -1
B. 2
C. -2
D. 1/2
A median of a triangle is a segment drawn a vertex to the midpoint of the opposite side.
... | 4 | [
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0.083984375,
-0.0732421875,
0.0034027099609375,
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0.12109375,
-0.087890625,
0.028564453125,
0.0250244140625,
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0.027587890625,
0.04052734375,
-0.05224609375,
0.095703125,
-0.044921875,
-0.015380859375... | 9,329 | 9329 | |
Greatest integer function limit?
Evaluate: $\lim_{x\rightarrow 0}\left(\frac{(1 + [x])^{\frac{1}{[x]}}}{e}\right)^{\frac{1}{[x]}}$ if it exists where $[x]$ denotes the greatest integer function.
I don't understand the point of the question. [x] is the step function, which is discontinuous at x=0. So the left hand limi... | 5 | [
0.041015625,
-0.038330078125,
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0.03662109375,
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0.046142578125,
-0.0263671875,
0.0191650390625,
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0.01275634765625,
0.035400390625,
0.08251953125,
0.01531982421875,
-0.0576171875,
0.031005859375,
-0.087402... | 9,330 | 9330 | |
Snell
Snell's Law
From Math Images
Snell's Law
This is a picture of a spoon in a glass of water that seems to be bent. Snell's Law is a mathematical formula that predicts the amount of bend seen in the image.
Basic Description
In order to understand the concept of Snell's Law, it is important to understand t... | 4 | [
-0.0152587890625,
-0.05810546875,
-0.0152587890625,
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0.029541015625,
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0.0400390625,
0.039306640625,
0.1298828125,
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0.02978515625,
-0.035400390625,
0.10888671875,
0.0208740234375,
-0.035888671875,
-0.0947265625,
-0.0029449... | 9,331 | 9331 | |
Could someone please check my math on this question involving equivalent rates?
August 20th 2012, 08:40 PM
Lliam
Could someone please check my math on this question involving equivalent rates?
**Funny side note: While typing this up, as a question, half way through I think I figured it out, which is why this is ... | 4 | [
-0.0036773681640625,
-0.01214599609375,
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0.047607421875,
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0.0966796875,
0.020751953125,
0.00933837890625,
0.039794921875,
0.0291748046875,
0.047607421875,
0.056396484375,
-0.041259765625,
... | 9,332 | 9332 | |
Word problem involving the weather and a leaking barrel
November 10th 2010, 06:36 PM #1
Junior Member
Joined
Sep 2010
Posts
32
Word problem involving the weather and a leaking barrel
The question states
During a rain weather, a barrel with the height of 90cm is filled to the top. When it stops to rai... | 5 | [
-0.024169921875,
0.055419921875,
0.11376953125,
0.0286865234375,
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0.000713348388671875,
-0.015869140625,
0.055419921875,
0.0126953125,
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0.020751953125,
0.06494140625,
-0.0322265625,
0.033203125,
-0.03466796875,
0.... | 9,333 | 9333 | |
Math Help
December 15th 2013, 05:56 PM #1
Senior Member
Joined
Sep 2013
From
Portland
Posts
422
Thanks
53
Scalars
Having some LaTeX issues so this might look a bit off
let $e_1$= (1,0) and $e_2$ = (0,1) Show that for every $X$$\in$$R^2$, there exist unique scalars
$\alpha$ and $\beta$ ... | 5 | [
0.0242919921875,
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0.078125,
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0.0111083984375,
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0.02734375,
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0.03564453125,
-0.04345703125,
-0.0185546875,
-0.07177734375,
0.000610351... | 9,334 | 9334 | |
dy
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Here's the question you clicked on:
ashleighelizabeth Group Title
A ball is th... | 4 | [
0.0008392333984375,
0.036865234375,
0.0036773681640625,
-0.0927734375,
-0.010498046875,
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0.08349609375,
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0.034423828125,
0.0634765625,
0.0079345703125,
0.0308837890625,
0.01953125,
0.0205078125,
0.06201171875,
0.033447265625,
-0.0556640... | 9,335 | 9335 | |
Evaluating concentration estimation errors in ELISA microarray experiments
Abstract
Background
Enzyme-linked immunosorbent assay (ELISA) is a standard immunoassay to estimate a protein's concentration in a sample. Deploying ELISA in a microarray format permits simultaneous estimation of the
concentrations of numerous... | 4 | [
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-0.01672363281... | 9,336 | 9336 | |
[SOLVED] error propagation: the approximation formula
August 3rd 2008, 08:51 AM
sinewave85
[SOLVED] error propagation: the approximation formula
I can't seem to get the right answer to this one, and I hope someone can tell me what I am doing wrong!
"You measure the radius of a circle to be 12 cm and use the... | 5 | [
0.006866455078125,
0.0361328125,
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0.11767578125,
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0.0361328125,
-0.01495361328125,
-0.0135498046875,
-0.011962890625,
0.0927... | 9,337 | 9337 | |
Topological weak mixing and $\omega$-linearly-independent sequences generated by composition operators
up vote 3 down vote favorite
4
A research problem on which I am currently working requires a construction in topological dynamics of the following type:
Let $T \colon X \to X$ be a continuous transformation of a... | 4 | [
-0.087890625,
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-0.0098876953125,
0.07763671875,
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0.043212890625,
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-0.05810546875,
0.019775390625,
-0.037841796875,
-0.003509521484375... | 9,338 | 9338 | |
Finding the Greatest Common Factor (GCF)
Date: 03/31/98 at 21:14:18
From: Kimmy
Subject: I need help finding the GCF including exponents
Hi!
I am having trouble finding the greatest common factor (GCF) with
exponents in the problems along with variables. Here is one of many
questions that I am having trouble with:
... | 4 | [
0.04248046875,
-0.0245361328125,
-0.0216064453125,
0.0177001953125,
0.0014801025390625,
0.01708984375,
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0.0194091796875,
0.007171630859375,
-0.01531982421875,
-0.00738525390625,
0.06201171875,
0.091796875,
0.0859375,
-0.09228515625... | 9,339 | 9339 | |
Advanced Periodic and Exponential Functions
August 11th 2013, 02:44 AM #1
Newbie
Joined
Mar 2013
From
Australia
Posts
5
Advanced Periodic and Exponential Functions
Please help solve using advanced periodic and exponential functions?
At 9am, 5% of the students in a school have heard a rumour conc... | 4 | [
-0.10595703125,
0.041015625,
0.0042724609375,
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0.02099609375,
0.0390625,
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0.091796875,
0.01513671875,
-0.0673828125,
0.000766754150390625,
-0.06... | 9,340 | 9340 | |
Math Help
November 10th 2008, 02:24 PM #1
Newbie
Joined
Oct 2008
Posts
9
sin&cos
I am given a graph and asked:
let f(x)=sin(2pi x) and g(x)= cos(2pi x). Find a possible formula in terms of f or g for the graph.
the graph: cos function
period=1
midline=-3
amp=2
the top of the w... | 4 | [
-0.126953125,
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0.02685546875,
-0.01708984375,
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0.0498046875,
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0.022216796875,
0.049072265625,
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0.017333984375,
-0.018798828125,
0.1171875,
0.0142822265625,
-0.034912109375,
-0.04736328125,
-0... | 9,341 | 9341 | |
Monte Carlo Method
To explain Monte Carlo simulation method, I’ll give a quick introduction/motivation of monte-carlo method, then I’ll walk through an example. I will give details the technical concepts as per need,
i.e. I won’t just list down definitions/explanations all at once and then use them in an example.
Wha... | 5 | [
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0.07958984375,
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0.055419921875,
0.02490234375,
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0.0205078125,
-0.072265625,
0.06787109375,
0.0341796875,
-0.078613... | 9,342 | 9342 | |
Finding values of quadratic equation
May 6th 2011, 03:24 AM
yorkey
Finding values of quadratic equation
Got a math sum I'm working on thats troubling me.
${x}^{2} + 4x - 8$ can be written in the form ${(x + p)}^{2} + q$
Find the values of $p$ and $q$
May 6th 2011, 03:27 AM
mr fantastic
Quote:
... | 4 | [
-0.033447265625,
0.046630859375,
0.0927734375,
0.087890625,
-0.00787353515625,
0.0908203125,
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0.057861328125,
0.0703125,
-0.049072265625,
0.0751953125,
0.035400390625,
-0.0233154296875,
0.04443359375,
-0.0322265625,
0.050537109375,
0.01611328125,
0.0087890625,
-0.... | 9,343 | 9343 | |
Venn Diagram Problem
October 16th 2009, 07:34 AM #1
Member
Joined
May 2006
Posts
148
Thanks
1
Venn Diagram Problem
In a group of 100 students, more students are on the fencing team than are members of the French club. If 70 are in the club and 20 are neither on the team nor in the club, what is the m... | 4 | [
0.10009765625,
0.0341796875,
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-0.06640625,
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0.0247802734375,
0.007232666015625,
0.053955078125,
0.0458984375,
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0.1240234375,
0.09375,
0.041748046875,
0.04150390625,
-0.04541015625,
-0.0703125,
-0.0... | 9,344 | 9344 | |
Average of a variable given the function?
April 17th 2014, 08:19 AM #1
Member
Average of a variable given the function?
Re: Average of a variable given the function?
Let's find out. First, let's figure out where it crosses the $x$-axis:
$0 = 4x-x^3 = x(4-x^2) = x(2+x)(2-x)$
So, it crosses the axis at ... | 5 | [
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0.1181640625,
0.02587890625,
-0.110351... | 9,345 | 9345 | |
Do DG-algebras have any sensible notion of integral closure?
up vote 19 down vote favorite
9
Suppose R → S is a map of commutative differential graded algebras over a field of characteristic zero. Under what conditions can we say that there is a factorization R → R' → S through an "integral
closure" that extends the n... | 4 | [
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Problems with related rates
July 5th 2010, 11:58 AM #1
Problems with related rates
It has been a while since I last worked with derivatives so I may be forgetting something basic but here's my problem.
A street light is mounted on top of a 15 ft pole. A man 6 ft tall walks away from the pole at a rate of 5 f... | 4 | [
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0.05029296875,
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0.10986328125,
-0.0578613281... | 9,347 | 9347 | |
Series, Annuties
April 7th 2009, 12:30 PM #1
Newbie
Joined
Mar 2009
Posts
12
if you deposit $1000 in your bank account yearly, and earn 5% interest per year, what is the formula for the nth term of this series?
Hi
Each year your money is multiplied by 1.05
At the end of year n, you have got... | 4 | [
0.00153350830078125,
0.0732421875,
-0.01123046875,
-0.00634765625,
-0.014404296875,
-0.041015625,
0.031494140625,
0.0038909912109375,
0.036376953125,
0.07177734375,
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-0.0233154296875,
-0.017333984375,
0.0194091796875,
0.013916015625,
0.030517578125,
-0.09912109375... | 9,348 | 9348 | |
Need help with a "completing the square" problem in quadratic factoring!
August 13th 2012, 11:34 AM
EJdive43
Need help with a "completing the square" problem in quadratic factoring!
When I try to solve x^2+3x-10 just by factoring it from it's standard form I get x=-5 and x=2 which is good. But when I try to chec... | 4 | [
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0.055419921875,
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0.068359375,
0.00946044921875,
... | 9,349 | 9349 | |
Combining equations to make one!
April 20th 2012, 01:27 PM
chunkylumber111
Combining equations to make one!
Hello this question is based on a transfer function problem and I have the following formulas and need to arrive at an equation for T/V[D] in terms of k[0], k[1], k[2] and k[t]
where E = V[D] - V[M], ... | 5 | [
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-0.00160980224609375,
... | 9,350 | 9350 | |
ut
Computation of Limits
Maxima can compute limits for a wide range of rational and transcendental functions.
For rational functions, it is often important to know the value at inifinity:
limit ((x^2 - 1)/(x^2 + 1), x, inf);
1
The value of a "0/0" expression can be easily computed:
limit ((x^2 + x - 6)/(x^... | 5 | [
-0.037841796875,
-0.00457763671875,
-0.03662109375,
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0.0262451171875,
-0... | 9,351 | 9351 | |
Principal Ideal Domain
January 25th 2010, 03:40 AM #1
Junior Member
Joined
May 2009
From
Tokyo, Japan
Posts
46
Principal Ideal Domain
I've run into this question that should be easy somehow, but I can't get a hold of:
$R = \{ \frac{a}{3^k} \in \mathbb{Q} : a \in \mathbb{Z}, k \in \mathbb{Z}_{\ge... | 5 | [
-0.0267333984375,
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0.01055908203125,
0.0066528320... | 9,352 | 9352 | |
Knuth-Morris-Pratt in Haskell
Published: 2007-04-15
T
22:00
Z
A request that comes up regularly on the Haskell mailing list is for a function to determine whether one string (the needle) is a substring of another one (the haystack). While there is no such
function in the Haskell standard library^†, it is easy enou... | 4 | [
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0.011962890625,
0.04296875,
0.03857421... | 9,353 | 9353 | |
How do I prove these general formulas for the volume of the n-sphere?
December 6th 2012, 05:00 AM #1
Newbie
Joined
Dec 2012
From
Ohio
Posts
2
How do I prove these general formulas for the volume of the n-sphere?
Hi, I am working on a project dealing with n-spheres.
I have an even equation
Vn... | 5 | [
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-0.043212890625,
0.0498046875,
-0.00201416015625,
-0.07275390625,
0.0291748046875,
0.07... | 9,354 | 9354 | |
Using the Sine and Cosine Addition Formulas to Prove Identities - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Using the Sine and Cosine Addition Formulas to Prove Identities - Concept 28,305 views
:Applying the cosine addition and sine addition f... | 4 | [
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Minimum problem...with distances.
January 4th 2009, 04:31 PM
Jukixel
Minimum problem...with distances.
This one requires some drawing...I think. A diagram maybe? ^^"
Town A is 11 miles from a straight river and town B is 6 miles from the same river. The distance from town A to town B is 13 miles. A pumping ... | 5 | [
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Algorithm for making fraction of root?
November 13th 2006, 02:56 PM #1
The algorithm to calculate the square root of a number a
r(n+1) = (r(n) + a/r(n))/2 can be developed to manage fractions:
p(n+1)/q(n+1) = (p(n)/q(n) + a*q(n)/p(n))/2 =>
p(n+1)/q(n+1) = (p(n)^2 + a*q(n)^2) / (2*p(n)*q(n)) =>
p... | 4 | [
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Abelian Groups
April 10th 2012, 04:53 PM #1
Abelian Groups
Let G be an Abelian group. Let H and K be subgroups of G with orders 36 and 45, respectively. Which of the following is a possible order of HK?
a) 5
b) 9
c) 20
d) 90
e) 180
This doesn't seem difficult, but I've never taken Abstra... | 4 | [
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The Manager's Pocket Calculator: A Quick Guide to Essential Business Formulas and Ratios
Overview
Your success or failure is reflected in one number: the bottom line. So you’d better get a handle on the numbers that influence it. The Manager’s Pocket Calculator gives you the essentials of
budgeting and forecasting, fi... | 4 | [
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matrix of inner product on span(s) with respect to a ordered basis
May 6th 2010, 07:20 PM #1
Newbie
Joined
May 2010
Posts
5
matrix of inner product on span(s) with respect to a ordered basis
so i have no idea how to approach this second part of the problem. for the first part, i've figured out that the v... | 4 | [
-0.03369140625,
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0.01623535... | 9,360 | 9360 | |
Evaluate the indefinite integral
October 15th 2010, 08:21 PM #1
Newbie
Joined
Oct 2010
Posts
2
Evaluate the indefinite integral
I need to evaluate this integral
∫dt/(t^2-1)^2
I originally tried trig sub, by setting t=secx, but I only got so far as secx/(tanx)^3.
Any help would be greatly a... | 4 | [
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Vector problems
August 27th 2011, 04:27 PM
andrew2322
Vector problems
http://www.mathhelpforum.com/math-he...cons/icon1.gif Vector Calculations
Hello all. Need to verify some answers to questions i've completed.
Given the vectors v = (1,0,1) and w = (-1,1,2)
i) Find the vector projections of w ont... | 4 | [
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Re-partitioning a partitioned set using quotient sets
March 29th 2011, 07:46 AM #1
Newbie
Joined
Mar 2011
Posts
6
Re-partitioning a partitioned set using quotient sets
Hi,
I hope I've posted this in the right subforum.
I've been thinking about a problem for a while, but I've come to a halt. I w... | 4 | [
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Need Some Calc. Help
November 25th 2009, 02:24 PM
redsoxfan0825
Need Some Calc. Help
Find the value of k so that f(x)=xe^x/k has a critical value at x=10.
I am pretty sure I have to find the derivative here, using the product rule? But I'm not exactly how to find the derivative of e^x/k and after that I'm n... | 5 | [
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need to know the length
October 26th 2012, 03:59 PM
jaypym
need to know the length
If I have a circle with the circumference of 7660mm and a straight line bisecting it 426 mm down from the center then what is the length of the arc between the points on the circle and how do I
find this
October 26th 2012, 04... | 4 | [
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0... | 9,365 | 9365 | |
Trigonometric substitutions, dx/(9+x^2)^(1/2), basic problem
February 18th 2011, 02:04 PM #1
Member
Joined
Aug 2009
Posts
101
Trigonometric substitutions, dx/(9+x^2)^(1/2), basic problem
Alright, so my problem is problem #1 out of this homework section.
I have the integral of dx/(9+x^2)^(1/2).
... | 5 | [
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ŷhat | Estimating User Lifetimes - the right and many wrong ways
We're happy to bring you our first guest blog post. It comes to you from Cam Davidson-Pilon, author of Bayesian Methods for Hackers. Cam is a strategic data analyst at Shopify, a leading ecommerce
solution for small and medium businesses, and head organiz... | 5 | [
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so confused
May 13th 2010, 08:12 PM #1
Junior Member
Joined
Apr 2010
Posts
43
so confused
Using the parametric representation
z(t) = e^(it)= cost + isint how do we evaluate the following integral
(a) integral from 1 to -1 (1/z)dz along |z|=1, the upper half plane.
I'm not quite sur... | 5 | [
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Continuous proof
November 11th 2009, 07:23 AM
spikedpunch
Continuous proof
Prove: If f is a continuous function whose domain includes a closed interval [a,b], and L is a horizontal line, and (a,f(a)) is below L, and (b,f(b)) is above L, then there is a number x between
a and b such that (x,f(x)) is on L.
... | 4 | [
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ordinal sum
Ordinal sums
Idea
In ordinal arithmetic?, the ordinal sum is a natural addition on ordered sets and so provides a useful tool when manipulating simplicial sets. In ordinal sum you ‘first put one of the two ordinals
and then the other’, so that the elements of the second ordinal are all bigger than those i... | 4 | [
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0.07861328125,
0.0109252... | 9,370 | 9370 | |
quadratic formula problem
September 6th 2007, 08:29 PM
echidnajess
quadratic formula problem
Hi, I'm actually in a college precal2 class, but I think this is an alegbra issue...
I'm sure I'm just being an idiot and doing something completely stupid here, as I haven't taken a math class in over a year and ha... | 4 | [
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-0.0471... | 9,371 | 9371 | |
Linear Operators
December 26th 2010, 11:51 AM #1
MHF Contributor
Joined
Mar 2010
From
Florida
Posts
3,093
Thanks
5
Linear Operators
To be linear, $L(\alpha u+\alpha v)=\alpha (L(u)+ L(v)) \ \alpha\in\mathbb{R}$.
How is this equation (see below) linear?
$yu_{xxy}-e^xu_x+3=0$
$yu_{xx... | 4 | [
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-0.069... | 9,372 | 9372 | |
February 25, 2013
COMS W4115
Programming Languages and Translators
Lecture 10: Bottom-Up Parsing
February 25, 2013
Lecture Outline
1. Bottom-up parsing
2. LR(1) parsing
3. Constructing a simple LR(1) parser
4. DFA for viable prefixes
1. Bottom-up Parsing
• Bottom-up parsing can be viewed as trying to find a ... | 4 | [
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... | 9,373 | 9373 | |
Homework Help
Posted by Please Help!!! on Thursday, November 14, 2013 at 10:13pm.
Lexi and Maria had $250 altogether. After Lexi spent 2 over 5 of her money and Maria spent $40, they had the same amount of money left. How much money did Lexi have in the beginning?
• math - Reiny, Thursday, November 14, 2013 at 10:2... | 4 | [
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0.0441894... | 9,374 | 9374 | |
probability and statictics work
April 11th 2008, 12:26 PM #1
Newbie
Joined
Apr 2008
Posts
8
probability and statictics work
1.state the Axioms of property
2.suppose that A and D are independent event such that the
probability that neither occurs is a and the probability of B
occuring is b. sh... | 4 | [
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-0.07568359375,
-0.005... | 9,375 | 9375 | |
Probability to get an orphan disease
December 17th 2012, 02:38 PM #1
Newbie
Joined
Dec 2012
From
paris
Posts
5
Probability to get an orphan disease
Hello all,
p : Probability of population with a specific orphan disease (p=10^-7)
q : Probability to get one allele called L1 on his X chromosom... | 5 | [
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Help about Arithmetic mean!
May 28th 2012, 02:08 PM
Mat724
Help about Arithmetic mean!
Ok, its a word problem and i am struggling so much with it... i know the answer, which is 2/7 or .285... idk how to do it. please help
One adult and 10 children are in an elevator. If the adult's weight is 4 times the a... | 4 | [
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-0.1054687... | 9,377 | 9377 | |
Rates of Change word problems
October 18th 2009, 01:33 AM #1
Newbie
Joined
Sep 2008
Posts
16
Rates of Change word problems
Hey everyone!
I'm having some problems getting started on some Calculus problems here. (I know, complete answers aren't supposed to be given out, but I don't even know how to ap... | 4 | [
-0.041748046875,
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0... | 9,378 | 9378 | |
Auroville Earth Institute
CATENARY METHOD
Past developments
An English engineer of the 17^th century, Robert Hooke, made already in 167... | 4 | [
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0.... | 9,379 | 9379 | |
Sets/Functions
October 5th 2007, 03:16 PM
darken4life
Sets/Functions
Hi! I have a question regarding Sets and Functions, please help, thanks!
I have set A{1,2,3,4,5}, B{3,4,5,6,7}, C{5,6,7,8,9}
A union B = {1,2,3,4,,6,7}
A intersection B = {3,4,5}
Define an onto(surjective) function f: A union... | 4 | [
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0.0284423828125,
0.039306640625,
-0.03295898... | 9,380 | 9380 | |
Planar graphs
December 6th 2009, 07:13 AM
chella182
Planar graphs
Let $G$ be a simple, connected, planar graph with $n\geq3$ vertices, $m$ edges and $r$ faces. Assume that every vertex of $G$ has degree at least $3$.
a) Show that $2m\geq3n$ and use Euler's formula to deduce that $2\leq r-\frac{m}{3}$.
b... | 4 | [
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0.11328125,
-0.04638671875,
-0.020263671875,
-0.0268... | 9,381 | 9381 | |
Eventually bounded/bounded sequences - I can't complete the proof -_-
October 21st 2012, 05:23 AM
Femto
Eventually bounded/bounded sequences - I can't complete the proof -_-
Proposition
If a sequence is eventually bounded, then it is bounded.
Proof
Suppose $a_n \rightarrow a$ as $n \rightarrow \in... | 4 | [
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0.01104736328125,
-0.007110595703125,
0.10205078125,
-0.03759765625,
0.031494140625,
0.011962890625,
-0.0673828125,
0.01080322265625,
0.0751953125,
-0.0308837890625,
0.052490234375,
0.0101318359375,
0.02587890625,
0.06103515625,
0.0039... | 9,382 | 9382 | |
Project involving catapults
April 28th 2009, 10:03 PM #1
Newbie
Joined
Mar 2009
Posts
12
Project involving catapults
A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is
s = -4... | 4 | [
0.00439453125,
0.050537109375,
0.002716064453125,
-0.0206298828125,
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0.09326171875,
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0.0615234375,
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0.03857421875,
-0.033935546875,
0.021972... | 9,383 | 9383 | |
integration by parts.
September 9th 2012, 12:22 AM #1
Newbie
Joined
Jul 2012
From
UK
Posts
16
integration by parts.
can someone confirm if i am doing this correctly
5xcos(4x) solve using integration by parts
let V=5x so dv/dx=5
du/dx=cos(4x) u=1/4sin4x
5x(1/4sin4x)-int 5(1/4sin4x... | 5 | [
0.0003376007080078125,
0.059814453125,
0.130859375,
-0.0267333984375,
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0.000576019287109375,
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0.03271484375,
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0.0625,
-0.052978515625,
-0.009033203125,
0.035888671875,
0... | 9,384 | 9384 | |
Linear function equation help please
May 22nd 2014, 05:29 AM #1
Newbie
Joined
May 2014
From
Alberta
Posts
2
Linear function equation help please
I need help understanding the following:
write the equations, in general form, for the lines that pass through point (4,3) and are parallel AND perpend... | 4 | [
-0.1298828125,
-0.00579833984375,
0.005889892578125,
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0.0244140625,
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0.09033203125,
0.03125,
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0.041015625,
0.05029296875,
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0.1220703125,
-0.11474609375,
-0.01019287109375... | 9,385 | 9385 | |
Parabolas in word problems
May 6th 2007, 01:11 AM #1
Newbie
Joined
Apr 2007
Posts
9
Parabolas in word problems
Hi guys!
We gad a disscusiion on parabolas last week and I wasn;t able to understand it very well
1) Find 2 numbers whose diff. is 20 and whose product is a minimum
2) What are th... | 4 | [
0.08642578125,
-0.02294921875,
0.0225830078125,
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0.1357421875,
-0.038330078125,
0.09375,
0.0306396484375,
0.004638671875,
0.05419921875,
0.09619140625,
-0.029296875,
0.039794921875,
-0.0103759765625,
-0.038330078125,
-0.106... | 9,386 | 9386 | |
pump
October 25th, 2011, 09:04 PM #1
Senior Member Work to pump out a tank
Joined: Sep 2011 The hemispherical tank shown is full of water. Given... | 5 | [
-0.037109375,
0.07421875,
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-0.044189453125,
-0.029052734375,
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0.0203857421875,
-0.03759765625,
-0.006... | 9,387 | 9387 | |
Circle / Ellipse Tangent
July 16th 2009, 07:24 AM #1
Newbie
Joined
Jul 2009
Posts
11
Circle / Ellipse Tangent
I'm trying to figure out an equation for the distance between the midpoints of a circle and an ellipse while they are tangent to each other as the ellipse rotates. The ellipse and the circle are
... | 4 | [
-0.04296875,
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0.061767578125,
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0.06396484375,
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0.0230712890625,
0.02392578125,
0.1171875,
-0.055419921875,
0.0849609375,
... | 9,388 | 9388 | |
HELP: Normal distribution probability problem
June 3rd 2010, 09:53 AM
mchliakh
HELP: Normal distribution probability problem
I have the following problem:
A certain small freight elevator has a max. capacity C, which is Normally distributed, with mean 400 lbs., and standard deviation 4 lbs.
The weight... | 4 | [
0.052734375,
0.0201416015625,
0.0186767578125,
0.0361328125,
-0.00732421875,
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0.07763671875,
-0.03125,
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0.095703125,
0.05078125,
0.00421142578125,
-0... | 9,389 | 9389 | |
Is there a composite number that satisfies these conditions?
up vote 12 down vote favorite
3
We know that if $q=4k+3$ ($q$ is a prime), then $(a+bi)^q=a-bi \pmod q$ for every Gaussian integer $a+bi$. Now consider a composite number $N=4k+3$ that satisfies this condition for the case $a+bi=
3+2i$. I use Mathematica 8 a... | 4 | [
0.0068359375,
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-0.006378173828125,
... | 9,390 | 9390 | |
Group generators and order
October 21st 2012, 01:04 PM #1
Newbie
Joined
Oct 2012
From
District of Columbia
Posts
16
Group generators and order
a) We say g is a generator for G iff every element in G can be written as g^k for some integer k. Supposing G is a finite group with n elements, show that g i... | 5 | [
-0.0810546875,
0.1201171875,
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0.02197265625,
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0.0042724609375,
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0.0556640625,
-0.1064453125,
-0.0235595703125,
0.021728515625,
-0.05078125,
0.016845703125,
-0.... | 9,391 | 9391 | |
Differential equations, need help with further simplifying
November 15th 2009, 02:26 PM #1
Newbie
Joined
Nov 2009
Posts
2
Differential equations, need help with further simplifying
I have tried and tried to figure this out, please help.
Find the general solution to this problem:
2x(y+1) - y dy/d... | 4 | [
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0.02587890625,
0.076171875,
0.0654296875,
0.04443359375,
0.0400390625,
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0.0234375,
-0.02587890625,
-0.00811767578125,
0.0556640625,
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-0.06201171875,
0.080078125,
-0.048583984375,
-0.0025482177734375,
-0.03466796875,
0.0262451171875,
-0.... | 9,392 | 9392 | |
limit question (indeterminate forms??)
October 14th 2010, 05:57 AM #1
Newbie
Joined
Sep 2010
Posts
24
limit question (indeterminate forms??)
Question:
We work in the real numbers. Are the following true or false? Give a proof or counterexample.
(a) If $\sum a^4_n$ converges, then $\sum a^5_n$ con... | 5 | [
-0.049560546875,
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0.04443359375,
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0.040283203125,
0.0042724609375,
0.00125885009765625,
0.03759765625,
-0.01214599609375,
0.01007080078125,
-0.01275634765625,... | 9,393 | 9393 | |
Express a Function in Terms of Another Function
Date: 09/18/97 at 13:29:20
From: Migdalia Anes
Subject: Expressing a function in terms of another function
The altitude perpendicular to the hypotenuse of a right triangle is
12 cm. Express the length of the hypotenuse in terms of the perimeter.
I tried lots of things... | 5 | [
0.0005645751953125,
0.1357421875,
-0.01129150390625,
-0.050048828125,
-0.032958984375,
0.0306396484375,
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0.08056640625,
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0.01409912109375,
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0.0390625,
0.01904296875,
0.0201416015625,
-0.07470703125,
... | 9,394 | 9394 | |
Homework Help
Posted by Anonymous on Tuesday, August 21, 2012 at 10:41pm.
Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6% interest. Suppose that you can put 40% down. Assume that the monthly cost to finance $1,000 is $6.00. What are the
monthly payments
• Finance - Reiny, Tuesday... | 4 | [
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-0.0223388671875,
... | 9,395 | 9395 | |
Help:Tau day
From Wikiproofs
Happy tau day, everyone.^[1]
Wikiproofs.org is a site where we write math proofs in a formal language which is automatically checked for correctness. We assume axioms and prove theorems from them. Eventually, we hope to prove
all of mathematics from a small set of axioms, the axioms of l... | 5 | [
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0.06884765625,
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-0.0849609375,
0.011230... | 9,396 | 9396 | |
Graphing Inequalities? Solution sets?
October 21st 2007, 02:55 PM
Dunit0001
Graphing Inequalities? Solution sets?
Thanks for all your help...I don't understand this one....
How do I graph it?
x^2 < or = x + 12
I factored it into (x+3)(x-4) < or = 0
My teacher taught me to make number lines fo... | 4 | [
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0.0234375,
0.035888671875,
-0.07861328125... | 9,397 | 9397 | |
Clock Problem
March 3rd 2009, 03:51 PM #1
Newbie
Joined
Mar 2009
Posts
7
Clock Problem
The minute hand and hour hand form a right angle at 3:00. How long after till they form a right angle again? Give the answer to the nearest second.
let the 12 position be $\theta = 0$
$t$ = time in seconds af... | 4 | [
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-0.00309753417... | 9,398 | 9398 | |
Amenable groups not containing free semigroups
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
It is known that all amenable groups do not contain free subgroups (of rank>1). But there are amenable groups containing free se... | 5 | [
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-0.... | 9,399 | 9399 |