content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Negative fractional indices
February 17th 2010, 08:27 PM
olivia59
Negative fractional indices
Rewrite x^(-3/2) without negative indices.
I thought it would be x^(2/3)... why is this not correct?
Also what is the difference between indices and exponents?
February 17th 2010, 09:02 PM
Jhevon
Quote... | 4 | [
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0.1005859375,
0.00628662109375,
0.07080078125,
-0.052734375,
0.00933837890625,
0.04931640625,
-0.0255126953125,
0.01470947265625,
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... | 3,500 | 3500 | |
Binary Search Trees
3.2 Binary Search Trees
We examine a symbol-table implementation that combines the flexibility of insertion in linked lists with the efficiency of search in an ordered array. Specifically, using two links per node leads to
an efficient symbol-table implementation based on the binary search tree d... | 4 | [
0.031494140625,
0.06396484375,
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0.01470947265625,
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0.06689453125,
-0.0228271484375,
... | 3,501 | 3501 | |
in the circle
Member
Registered: 2006-03-12
Posts: 1,306
Re: in the circle
in the circle
get A and B which make ( AX + BY ) ² = X (4 Y - 3 X ) + 1 an equation for a circle and then get the centre and the radius .
help please
ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...
A... | 4 | [
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0.0255126953125,
-0.123535... | 3,502 | 3502 | |
finite order.
May 20th 2009, 09:17 AM #1
Member
Joined
May 2009
Posts
86
finite order.
Can you please help me with this?
G is a group such that the intersection of all its subgroups which are different from (e) is a subgroup different from (e). Prove that every element in G has finite order.
HOw... | 5 | [
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Find the Basis
January 11th 2010, 07:23 AM #1
Newbie
Joined
Jan 2010
Posts
12
Find the Basis
for the each of the following vector spaces V, find the Basis and give the dimension:
a) V = [ 3x3 real matrices]
b) V= smooth real-valued functions on [0,1] satisfying y'''-y' = 0]
c) V= [real valued... | 5 | [
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0.0422... | 3,504 | 3504 | |
Help with differentiation.
July 12th 2010, 08:41 AM #1
Newbie
Joined
Jul 2010
Posts
6
Help with differentiation.
dy/dx of :
y=cos(x) / (e^x) +1
__________________________________________
This is what I have got so far:
Use the quotient rule, so make u=cos(x) and make v=(e^x)+1
y=... | 5 | [
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0.0072631835... | 3,505 | 3505 | |
Functional equation
Solve the functional equation: $f(xy)=[f(x)]^{y^\beta}[f(y)]^{x^\beta}$, where $x>0,~f(x)>0,~\beta\in\mathbb{R}$. P.S. Good luck!
it seems that $f_{\alpha}(x)=x^{\alpha x^{\beta}}, \ \alpha \in \mathbb{R},$ are all the solutions ...
let b=beta taking the logarithm of the both sides , we get : $ln(... | 5 | [
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Graphs of surfaces z=f(x,y), contour curves,
continuity and limits
Here is the surface defined by z=x^2+y^2, with a square domain [-1,1] x [-1,1] and another surface with the unit disk domain. Even though the defining equation is the same in both cases, the
functions are different since they have different doma... | 4 | [
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Memorandum from R. L. Murray to C. K. Beck
Typescript
... | 4 | [
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divisibility problem?
February 23rd 2010, 09:40 PM
kimberu
divisibility problem?
Let a, b be positive integers such that a^5 = b^7. Prove there exists some n in natural numbers such that a = n^7 and b = n^5.
Any help would be appreciated - I'm not really sure how to approach this question or even what it is... | 4 | [
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... | 3,509 | 3509 | |
Largest Sum of Consecutive Integers
Comment on Largest Sum of Consecutive Integers
Download Code
Re: Largest Sum of Consecutive Integers
by madbombX (H... | 5 | [
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math 30 pure help please
January 16th 2009, 07:05 PM #1
Newbie
Joined
Jan 2009
Posts
6
math 30 pure help please
can i please get some help in this one. trying to figure it out and i have atest tomm....
Five of the six players on the receiving team must stand in an approximately elliptical arrangement... | 4 | [
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Counting Inversions
First week of algorithm course programming assignment is to compute the number of inversion count of given array. We have a given array A[0...n - 1] of n distinct positive integers and we have to
count all the pairs ( i , j ) such that i < j and A[i] > A[j].
1. Brute Force
Brute force idea is very ... | 5 | [
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Managing Uncertainty in Groundwater Yield Estimates
Kansas Geological Survey, Open-file Report 96-63
Managing Uncertainty in Groundwater Yield Estimates
... | 5 | [
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remainder theorem issue
August 7th 2012, 04:54 AM #1
Senior Member
Joined
Jul 2010
Posts
357
Thanks
4
remainder theorem issue
Hi;
When using the remainder theorem do I always plug the root in?
If yes why?
ie dividing by (x - 1) plud in a 1 and (x + 1) plug in -1
Re: remainder theorem is... | 4 | [
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October
I've applied the
online EM approach
previously discussed to my
low-rank model for nominal labels
, and by reduction to my
model for multi-labels
. At this point it's just turning the crank with a different label emission likelihood.
Unfortunately due to the combinatorial nature of the multi-label reduc... | 4 | [
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0.1069... | 3,515 | 3515 | |
Lectures 12 & 13: Finite Fields
Number Theory, Math 413
In Galois Fields, full of flowers
primitive elements dance for hours
climbing ... | 5 | [
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... | 3,516 | 3516 | |
Different forms of same integral?
April 17th 2008, 04:40 AM #1
Newbie
Joined
Apr 2008
Posts
10
Different forms of same integral?
Hey people, I just came up across something I didn't know about in my revision. Say I want to find the integral
$\int \frac{1}{3x}dx$
Normally I would do this as foll... | 5 | [
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0.107421875,
... | 3,517 | 3517 | |
MathGroup Archive: September 2006 [00845]
[Date Index] [Thread Index] [Author Index]
Re: Vector operations,
• To: mathgroup at smc.vnet.net
• Subject: [mg70018] Re: [mg69993] Vector operations,
• From: Murray Eisenberg <murray at math... | 4 | [
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0.00933837890625,
-0.0296630859375,
0.00933837890625,
0.057373046875,
-0.061279296875,
0.07... | 3,518 | 3518 | |
Least Significant Non-Zero Digit of n!
Let p(k) be the least significant non-zero decimal digit of k! The
first several values of this sequence are
2,6,4,2,2,4,2,8,8,8,6,8,2,8,8,6,8,2,4,4,8,4,6,4,4,8,4,6,8,...
Can we directly determine the kth term for any given k? Also, what
is the asymptotic distribution of th... | 5 | [
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0.00946044921875,
0.0152587890625,
-0.0260009765625,
-0.06494140625,
-0.019653320... | 3,519 | 3519 | |
Story Problems: Make Them Real
On the other hand, we have to figure out what they’re talking about, and then we have to translate the words into math, and then we have to come up with an approach. That’s where story problems start
to go off the rails.
You know what I mean, right? Those ones where you think it’ll be f... | 4 | [
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0.0302734375,
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0.023315429... | 3,520 | 3520 | |
# Copyright 2012, 2013, 2014 Kevin Ryde # This file is part of Math-PlanePath. # # Math-PlanePath is free software; you can redistribute it and/or modify # it under the terms of the GNU General
Public License as published by the # Free Software Foundation; either version 3, or (at your option) any later # version. # # ... | 4 | [
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0.11083984375,
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-0.01208... | 3,521 | 3521 | |
Planckian locus
From Wikipedia, the free encyclopedia
In physics and color science, the Planckian locus is the path or locus that the color of an incandescent black body would take in a particular chromaticity space as the blackbody temperature changes.
It goes from deep red at low temperatures through orange, yellowi... | 4 | [
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Group homomorphism problem
May 5th 2012, 12:22 AM
Angela11
Group homomorphism problem
hey,
i have this question,
From my notes these groups are written as addition modulo 10 and 8, but this means that they both have different sizes, so no homomorphism can exist right?
This makes me think that ma... | 5 | [
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0.03... | 3,523 | 3523 | |
Is there a statistic like standard deviation for bounded variables?
November 22nd 2013, 09:01 AM #1
Newbie
Joined
Oct 2013
From
United States
Posts
11
Confidence estimates for bounded variables?
Is there a sample statistic that gives us easy confidence intervals about the sample mean of bounded varia... | 5 | [
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0.032470703125,
0.00433349609375,
0.0947265625,
-0.125,
0.064453125,
-0.03540039062... | 3,524 | 3524 | |
Equation solver
"Leo " <leoj_cruzz@hotmail.com> wrote in message <ib6vnn$dps$1@fred.mathworks.com>...
> "Leo " <leoj_cruzz@hotmail.com> wrote in message <ib6utf$ldq$1@fred.mathworks.com>...
> > Hi,
> >
> > I have the following equation:
> > i = a*(z - s*log(1 + z/s))*(1 + s/z)
> >
> > I want to assign numeric values to... | 4 | [
-0.09423828125,
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0.044921875,
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0.03369140625,
0.03466796875,
0.0390625,
-0.052978515625,
0.0284423828125... | 3,525 | 3525 | |
MathGroup Archive: June 2000 [00257]
[Date Index] [Thread Index] [Author Index]
Re: RE:Working Precision
• To: mathgroup at smc.vnet.net
• Subject: [mg23976] Re: [mg23928] RE:Working Precision
• From: David Withoff <withoff at wolfram... | 5 | [
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0.0390625,
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0.01611328125,
0.03173828125,
-0.0220947265625,
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0.02246093... | 3,526 | 3526 | |
[SOLVED] Can Anyone help solve this one?
part i: $y''+6y'+8y=40$ $p^{2}Y-py(0)-y'(0)+6(pY-y(0))+8Y=\frac{40}{p}$ Using the initial conditons y'(0)=0 and y(0)=0: $Y(p^{2}+6p+8)=\frac{40}{p}$ $Y=\frac{5}{p+4}-\frac{10}{p+2}+\frac{5}{p}$ Use
the inverse Laplace for each and get: $y=5e^{-4t}-10e^{-2t}+5$
| 5 | [
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0.0257568359375,
-0.0598144531... | 3,527 | 3527 | |
Simultaneous Equations
January 25th 2009, 09:53 AM
Mathtard
Simultaneous Equations
Hey guys, I have these two questions, which I am confused about. If anyone could help me I would be very grateful!
"Solve the following simultaenous equations using an analytical method (either elimination or by substitution ... | 4 | [
-0.0242919921875,
-0.017333984375,
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0.006561279296875,
0.0281982421875,
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-0.0625,
0.06591796875,
-0.02392578125,
-0.005126953125,
0.1162109375,
0.0208740234375,
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0.026123046875,
0.007080078125,
0.043212890625,
-0.0927734375,
-0.0390625,
... | 3,528 | 3528 | |
linear system of non-reduced divisor and associated reduced divisors
up vote 0 down vote favorite
Let $X$ be a smooth degree $d$ $(d \ge 5)$ surface in $\mathbb{P}^3$. Let $D$ be an effective Cartier divisor (hence locally of complete intersection) on $X$ and $D_{red}$ the associated reduced
scheme which is also a Car... | 4 | [
-0.04638671875,
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0.0576171875,
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0.10546875,
0.0146484375,
-0.06494140625,
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0.04638671875,
0.035888671875,
0.0087890625,
0.06396484375,
-0.07470703... | 3,529 | 3529 | |
March 2
I worked on this
applet
for a while, but
Frank
offered some good pushback which got me to rethink how I wanted to go about this lesson.
Day 1+Falling Object (Question)
from
David Cox
on
Vimeo
.
Show the first part of the video and discuss what we notice. I
"9.8 meters per second per second."
I ask... | 4 | [
0.055419921875,
-0.0245361328125,
-0.036376953125,
-0.02734375,
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0.08056640625,
-0.035400390625,
0.0546875,
-0.048095703125,
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0.0191650390625,
-0.0162353515625,
0.005279541015625,
0.05224609375,
0.06298828125,... | 3,530 | 3530 | |
Polar Coordinates and Polar Graphs
October 2nd 2007, 01:17 PM
googoogaga
Polar Coordinates and Polar Graphs
Hello, I am having a dificult time working these problesms. I made an attempt to work them out unfortunately my book does not show the answers. So I have no clue if I am following the right
steps. Coul... | 4 | [
-0.07666015625,
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0.0859375,
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0.051513671875,
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-0.10... | 3,531 | 3531 | |
Continuity and differentiability
July 30th 2009, 10:27 AM #1
Newbie
Joined
Jul 2009
Posts
13
Continuity and differentiability
Hi all,
I got some problems doing some exams exercises...
They ask me to study the continuity and the differentiability of some functions but I always get similar results... | 4 | [
0.0303955078125,
-0.0966796875,
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-0.07275390625,
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0.1533203125,
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0.04150390625,
0.0732421875,
0.05908203125,
-0.01519775390625,
-0.0634765625... | 3,532 | 3532 | |
sicp-ex-2.38
;; Accumulates the result of the first and the already-accumulated
;; rest.
(define (accumulate op initial sequence)
(if (null? sequence)
initial
(op (car sequence)
(accumulate op initial (cdr sequence)))))
(define (fold-right op initial sequence)
(accumulate op initial... | 5 | [
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0.0947265625,
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Categories and Surreals: Disordered Thoughts
I’ve been going through André Joyal’s category-theoretic construction of the surreal numbers, futzing around to see how restricting the construction to yield only the real numbers affects things.
(See my earlier remarks on this and/or Mark Chu-Carroll’s discussion for backg... | 4 | [
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-0.078125,
0.02685546875,
-0.001312255859375,
-0.058349609375,
0.0152587890625,
0.037109... | 3,534 | 3534 | |
Center of mass
March 5th 2006, 01:24 PM
Jameson
Center of mass
What is the center of mass of the region bounded by $y=\sqrt{3}|x|$ and the line y=3?
A) (0,0)
B) (0,1)
c) (0,2)
d) (0,3)
Ok, I know the x-coordinate of the center of mass is 0 because this is an even function. The y-coordinate ... | 5 | [
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0.03662109375,
0.055908203125,
-0.00823974609375,
-0.05395507812... | 3,535 | 3535 | |
scipy.signal.hann
scipy.signal.hann¶
scipy.signal.hann(M, sym=True)[source]¶
Return a Hann window.
The Hann window is a taper formed by using a raised cosine or sine-squared with ends that touch zero.
M : int
Number of points in the output window. If zero or less, an emp... | 5 | [
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-0.0952148437... | 3,536 | 3536 | |
Sequence question
May 6th 2009, 01:24 PM #1
Sequence question
First off, sorry if this is in the wrong section.
The question goes...
We define a sequence by $x_{n}=\cos{(n\pi/3)}$. Find an increasing list of numbers $1\leq n_{1}<n_{2}<n_{3}<...$, so that the subsequence $y_{k}=x_{n_{k}}$ tends to 1. Prov... | 4 | [
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0.06640625,
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-0.... | 3,537 | 3537 | |
GMAT Case Study: Hidden Information in Word Problems -
Here’s another post in our GMAT Case Study series, where we dig into the key concepts behind GMAT practice questions. This week: word problems.
After you practice long enough for the GMAT, you may find yourself answering certain common types of problems on autopil... | 4 | [
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0.041015625,
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Solving a cubic equation.
I have $f(x)= x^4 + 2x^2$ and am trying to solve $f'(x)= 1$, that is $4x^3 + 4x= 1$
Last edited by mr fantastic; September 23rd 2010 at 03:55 PM. Reason: Heavily edited for clarity. Re-titled.
The common factor is 4x. Can you try to factor it? Either that, or I'm not understanding what you n... | 5 | [
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0.05224609375,
-0.00299072265625,
0.034912109375,
-0.037353515625,
0.05224609375,
... | 3,539 | 3539 | |
Need help with exponents: simplifying 2
One more question. Is (x^-1 + y^-1)^-2 = x^2 + y^2? Thanks anyone who can help, please answer =)
also, this is not right. we can distribute powers across products, not sums $(a + b)^2 e a^2 + b^2$ for instance, but rather $(a + b)^2 = (a + b)(a + b) = a^2 + 2ab + b^2$ similarly,... | 4 | [
0.00457763671875,
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0.0216064453125,
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0.048095703125,
0.046875,
-0.046875,
0.1064453125,
-0.0157470703125,
-0.002700... | 3,540 | 3540 | |
[SOLVED] Fourier transform
June 24th 2008, 07:24 AM #1
[SOLVED] Fourier transform
So I'm just sitting in the chair being bored and I decided to review Fourier transforms. I pick what I thought would be an easy function to transform: $e^{-x^2}$, so I have
$g(k) = \int_{-\infty}^{\infty}e^{-x^2} e^{-ikx}~dx$
... | 5 | [
-0.056396484375,
0.08154296875,
0.01519775390625,
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-0.00093841552734375,
-0.026123046875,
0.078125,
0.10400390625,
-0.0006103515625,
-0.0098876953125,
-0.0164794921875,
0.0225830078125,
-0.07373046875,
0.06396484... | 3,541 | 3541 | |
Integral of sqrt(1+cos x)
Integral of sqrt(1+cos x) The radical has stumped me on this. Can anybody help?
Last edited by mr fantastic; June 3rd 2010 at 03:53 PM. Reason: Copied post title into main body of post.
Try substituting $x = cos^{-1}(u)$ and it will reduce to a known rational integral.
Or: $\int \, \sqrt{1+... | 5 | [
0.039794921875,
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0.039794921875,
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0.052001953125,
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0.05859375,
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0.07275390625,
-... | 3,542 | 3542 | |
Problem 4
In the rectangle ABCD, the point X on AB is chosen so that XB/AX = 2. If [] is a bisector of [], with U and V on side [] and [] as shown, compute the ratio PV/UP, where P is the midpoint of [].
[Problem submitted by Iris Magee, LACC Associate Professor of Mathematics.]
Solution:
Draw a line segment ef th... | 4 | [
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0.0255126953125,
-0.005828857421875,
-0.1572265625,
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0.0303955078125,
0.035888671875,
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0.041259765625,
-0.002227783203125,
-0.00075531005859375,
-0.0791... | 3,543 | 3543 | |
Effective Health Theory Calculation example, help.
09-29-2007, 01:32 PM
Newname
Effective Health Theory Calculation example, help.
I'm trying to understand it all, could you please review my calculation and see if I am doing it correctly?
Ok, I will attempt to calc [item]Destroyer Shoulderguards[/item] vs. ... | 4 | [
0.04931640625,
0.06787109375,
-0.00034332275390625,
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0.005889892578125,
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0.08154296875,
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0.0024871826171875,
0.030029296875,
0.0439453125... | 3,544 | 3544 | |
Common Core Standards : CCSS.ELA-Literacy.RST.9-10.5
Common Core Standards: ELA - Literacy
ELA - Literacy.CCSS.ELA-Literacy.RST.9-10.5
Analyze the structure of the relationships among concepts in a text, including relationships among key terms.
Set the Stage
Most scientific or technical concepts do not stand alone;... | 4 | [
0.026123046875,
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0.036376953125,
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0.01287841796875,
0.01422119140625,
0.005645751953125,
-0.0089111328125... | 3,545 | 3545 | |
Series and Sequences
January 9th 2010, 03:32 AM #1
Junior Member
Joined
Nov 2009
Posts
45
Series and Sequences
Find x and y, given that 1,x and y are in arithmetic sequence, and 1,y,x are in geometric sequence
Find the first three terms of a geometric sequence given that the sum of the first four ter... | 4 | [
-0.06640625,
0.037109375,
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-0.10693359375,
0.041015625,
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0.009521484375,
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0.053466796875,
0.0301513671875,
0.028076171875,
-0.07275390625,
0.0031... | 3,546 | 3546 | |
Lines Parallel to Diameters
July 6th 2011, 04:33 AM #1
Newbie
Joined
Jul 2011
Posts
2
Lines Parallel to Diameters
I'm pretty sure I understand these but still having trouble with some...
So if someone could help me?
Find and equation of the line that contains a diameter of a circle x^2+y^2+2x-4y... | 5 | [
-0.0751953125,
0.0673828125,
0.0038604736328125,
0.026611328125,
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0.0294189453125,
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0.00750732421875,
0.04296875,
0.0771484375,
-0.030029296875,
0.111328125,
-0.06103515625,
0.01... | 3,547 | 3547 | |
MathGroup Archive: January 2012 [00385]
[Date Index] [Thread Index] [Author Index]
Re: InverseFunction: how to manage?
• To: mathgroup at smc.vnet.net
• Subject: [mg124298] Re: InverseFunction: how to manage?
• From: Murray Eisenberg ... | 5 | [
-0.08203125,
0.03515625,
0.051513671875,
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0.076171875,
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0.031494140625,
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0.04248046875,
0.0264892578125,
-0.0952... | 3,548 | 3548 | |
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Topic: Numerical integration of polyfit coefficients
Repl... | 4 | [
0.000518798828125,
0.03369140625,
0.06298828125,
-0.02685546875,
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0.05322265625,
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-0.00933837890625,
-0.0098876953125,
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-0.0016021728515625,
0.03173828125,
-0.017578125,
0.0157470703125,
-0.046875,
... | 3,549 | 3549 | |
Systems of Equations - Practical Applications and Problem Solving
TITLE: Systems of Equations - Practical Applications and Problem Solving
TASK DEVELOPER: James Ring
CONTENT AREA AND GRADE:10th and 11th Grade Foundations of Algebra II
SCOPE AND SEQUENCE: Section 8.8,8.9,10.10 Algebra Text
TARGET TEACHING DATE: March 22... | 4 | [
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0.08837890625,
-0.09814453125,
0.083984375,
-0.05639... | 3,550 | 3550 | |
Inverse of Linear Transformation - Two Non-Standard Bases
October 12th 2011, 10:20 AM #1
Member
Joined
Oct 2010
Posts
150
Inverse of Linear Transformation - Two Non-Standard Bases
Let V=S2x2 (2x2 real symmetric matrices) with basis (1,1;1,0) (0,1;1,0) (1,0;0,1) and let W=P2(R) with basis {x^2,x+1,1-x}.
... | 5 | [
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-0.0751953125,
-0.0216064453125,... | 3,551 | 3551 | |
Volume of a Cylinder Lesson Plans & Worksheets | Lesson Planet
Volume of a Cylinder Teacher Resources
Find Volume of a Cylinder educational ideas and activities
Showing 1 - 20 of 216 resources
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several... | 4 | [
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0.0172119140625,
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0.04931640625,
0.12255859375,
0.0026397705078125,
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-0.07421875,
0.06... | 3,552 | 3552 | |
IntroductionSystem ArchitecturesPosition and Orientation SystemDigital Imaging SensorsTime Synchronization SensorDirect Sensor OrientationCamera CalibrationMounting Parameters CalibrationSingle-step Mounting Parameters CalibrationTwo-Step Mounting Parameters CalibrationMounting Parameters Calibration: Final RemarksPosi... | 4 | [
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-0.03564453125,
0.... | 3,553 | 3553 | |
Proposition 8
Similar pyramids with triangular bases are in triplicate ratio of their corresponding sides.
Let there be similar and similarly situated pyramids with triangular bases AB and DEF vertices G and H.
I say that the pyramid ABCG has to the pyramid DEFH the ratio triplicate of that which BC has to EF.
Comp... | 4 | [
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0.03... | 3,554 | 3554 | |
Sampling a time dependent signal
Next: Conclusion Up: number6 Previous: Frequency Measurement
The problems involved in handling a more general time dependent signal, say a digitized acoustic signal, are considerably trickier. A primary problem is how to make the measurements without high
frequency aliasing distort... | 4 | [
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0.015625,
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0.0167236328125,
0.04296875,
-0.... | 3,555 | 3555 | |
Proof for the Radius of Curvature
Date: 08/17/2003 at 18:02:05
From: Cam Coward
Subject: A proof for the radius of curvature
The equation of a circle of radius R centered at the origin is
x^2+y^2 = R^2. Demonstrate that the radius of curvature is equal to R.
I've found the first and second derivative but I can't see... | 5 | [
-0.019287109375,
0.0155029296875,
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0.06494140625,
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-0.035888671875,
0.0986328125,
0.03662109375,
0.00830078125,
-0.048828125,
0.0198... | 3,556 | 3556 | |
help in differentiating
March 13th 2010, 03:50 AM
goaway716
help in differentiating
function f is defined by f(x)=4sin(x)+9/(1+sin(x)) with 0<=x<=pi
1)Evaluate the first and second derivative of f.
2)Find and classify the stationary points of the funtion
3)Find the greatest and least values of f(x)
... | 4 | [
-0.043212890625,
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0.08251953125,
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0.1015625,
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0.00836181640625,
0.0341796875,
-0.0074462890625,
-0.095703125,
0.05224609375,
-0.00927... | 3,557 | 3557 | |
Cardinality
April 5th 2010, 10:01 AM #1
Cardinality
What's the cardinality of $B=\{(x,X)| \ x\in A, \ X \subseteq A, \ x \in X \}$ where A is a set of n elements?
$|B|=|A|.|X|$ since it's the result of a binary operation.
Therefore $|B|=n.|X|$.
Can we say anything about $|X|$? At most, $|X|=n$, but... | 5 | [
0.041015625,
0.018310546875,
-0.037109375,
0.003997802734375,
0.002899169921875,
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0.00701904296875,
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0.08349609375,
-0.0341796875,
0.054443359375,
0.1025390625,
0.039306640625,
-0.03637... | 3,558 | 3558 | |
Help
dsolve/numeric - find numerical solution of ordinary differential equations
Calling Sequence
dsolve(odesys, numeric, vars, options)
dsolve(numeric, procopts, options)
Parameters
odesys - set or list; ordinary differential or differential-algebraic equation(s) and initial/boundary conditions
numer... | 5 | [
-0.1318359375,
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-0.081... | 3,559 | 3559 | |
position vector given points, but ratio between the two points?
February 6th 2009, 10:43 PM #1
Junior Member
Joined
Jan 2009
Posts
36
position vector given points, but ratio between the two points?
Use vectors to find the position vector of point 'P' if 'P' divides AB in the ratio 3:2 given A(-1,6,4) and... | 4 | [
-0.0308837890625,
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0.02783203125,
0.0634765625,
-0.032470703125,
0.0419921875,
-0.0267333984375,
-0.... | 3,560 | 3560 | |
Evaluating Formulas by Substitution
As we mentioned, a formula has a dependent variable on one side and an expression involving the independent variable(s) on the other side. To evaluate a formula, we evaluate the expression containing
the independent variable(s). The result is the value of the dependent variable. Read... | 4 | [
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0.091796875,
0.03662109375,
-0.0771484375,
0.0463867187... | 3,561 | 3561 | |
Ratio of two Cauchy random variables. [Archive] - Statistics Help @ Talk Stats Forum
univariate
06-18-2010, 09:54 PM
Hello.
I'm trying to find the probability density function (pdf) of the random variable U = X/Y where X and Y are both iid Cauchy random variables, the pdf of X is f(x) = a/(pi (a^2 + x^2)) and the p... | 5 | [
0.00067901611328125,
-0.0303955078125,
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0.035888671875,
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-0.007049560546875,
-0.08349609375,
-0.0126953125,
-0.000518798828125,
0.140625,
0.050048828125,
0.03857421875,
0.06591796875,
-0.027099609375,
0.030029296875,
-0.013793945312... | 3,562 | 3562 | |
Finding limits...
May 15th 2009, 08:54 PM #1
Newbie
Joined
Jun 2007
Posts
8
Finding limits...
Hi, I need some help finding the limit of the following....
$\lim_{n \to \infty} \frac{2^n - n}{3^n - n}$
There is also one more i am stuck on,
$\lim_{n \to \infty} \sqrt[n]{2^n + 3^n + 4^n}$
... | 5 | [
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-... | 3,563 | 3563 | |
Yet Another Eliot Blog
Project Euler Problem 1
Part 1,2
Project Euler problem 1 wants a person to find the sum of all numbers less than 1000 that are divisible by 3 and 5. I was able solve this problem pretty easily in Scala. My solution is very similar
to how I would solve the problem in Java. Quickly glancing at... | 4 | [
-0.06396484375,
0.08203125,
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0.034912109375,
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-0.03955078125,
-0.00872802734375,
0.102050... | 3,564 | 3564 | |
riemann sum
December 13th 2008, 05:51 PM #1
Member
Joined
Oct 2008
Posts
76
riemann sum
Write down the Riemann sum for int_2^3 2x dx using N equal subintervals, simplify, and find the limit as N approaches infinity.
I am not sure if I set the sum up properly and I am having trouble with the simplifi... | 5 | [
-0.0242919921875,
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0.0025787353515625,
0.05712890625,
0... | 3,565 | 3565 | |
Solving Systems Using Elimination
I need help solving this problem using elimination 2x-2y=61 2x+y=-7 Please help
2x+2y=61 2x+y=7 2x+2y=61 -2y -2y __________ 2x = 61 - 2y ___________ 2 -> divide both sides by 2 x = 30.5 - y put this x value into other equation: 2(30.5 -y) +y = 7 61 - 2y + y = 7 -y -y
______________ 61... | 4 | [
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0.0471191... | 3,566 | 3566 | |
Complex number equation
Hello can you please help me to solve this equation. $z^3+8=0$ (Wink) (Wink) (Wink)
An alternative... \displaystyle \begin{align*} z^3 + 8 &= 0 \\ z^3 &= -8 \\ z^3 &= 8e^{i\pi} \\ z &= \left(8e^{i\pi}\right)^{\frac{1}{3}} \\ z &= 2e^{\frac{i\pi}{3}} \end{align*} Since this is a
cubic, there are... | 5 | [
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-0.07275390625,
-0.01171875,
-0.059... | 3,567 | 3567 | |
Graphing the curve and both tangents...
August 21st 2010, 07:07 PM #1
Junior Member
Joined
Jun 2010
Posts
47
Graphing the curve and both tangents...
QUESTION:
(a) Find the slope of tangent to the curve y=3+4x^2-2x^3 at the point where x=a.
(b) Find equations of the tangent lines at the points (1... | 4 | [
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-0.02587890625,
-0.... | 3,568 | 3568 | |
number theory
December 2nd 2008, 02:25 AM #1
Junior Member
Joined
Sep 2008
Posts
39
number theory
thanks for helpin me. guys
1. let p be a prime, show that every prime divisor of (2^p) -1 is greater than p.
2. let n= 3^(t-1). show that 2^n = -1 (mod 3^t)
1. Suppose $q$ is a prime divisor o... | 5 | [
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-0.051025390625,
0.0245361... | 3,569 | 3569 | |
|x-1| = 1 - x
November 12th 2011, 10:05 AM
SweatingBear
|x-1| = 1 - x
Hey forum, I'm dealing with this one
$|x-1| = 1 - x$
I use the definition of the absolute value of an arbitrary argument which gives
$|x-1| = \{ x-1 \ , \te{ \ if \ } x-1 \geq 0 \ \Leftrightarrow \ x \geq 1 \ \ \ \ (1) \\ -(x-1)... | 4 | [
-0.06103515625,
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0.0322265625,
-0.165039062... | 3,570 | 3570 | |
Normalizer of a group and its relation to a subgroup
December 18th 2013, 08:30 AM #1
Normalizer of a group and its relation to a subgroup
Let H be a subgroup of a group G.
a) Show that $H \leq N_G(H)$. Give an example to show that this is not necessarily true if H is not a subgroup of G.
b) Show that $H ... | 5 | [
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0.04736328125,
0.04296875,... | 3,571 | 3571 | |
Academic Year Mathematics
High School Mathematics-Physics SMILE Meeting
1997-2006 Academic Years
... | 4 | [
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0... | 3,572 | 3572 | |
Mathematics 141 > Desesa > Notes > Practice_Final__Exam_Ans._Key_Spring_201.doc | StudyBlue
MATH 141, PRACTICE FINAL EXAM , SPRING 2010 ANSWER KEY Evaluate the following indeterminate forms using L?Hôspital?s rule. Show all major steps. State what type of indeterminate form it is. Express
final answer in simplest exact... | 5 | [
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... | 3,573 | 3573 | |
Find a non subgroup out of subgroups cosets
September 13th 2008, 06:02 AM #1
Super Member
Joined
Mar 2006
Posts
705
Thanks
2
Find a non subgroup out of subgroups cosets
Find a group G with subgroups A and B such that AB is not a subgroup.
I think I may be overthinking this, let G be the set of i... | 5 | [
-0.03662109375,
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0.035400390625,
0.04345703125,
0.055908203125,
-0.022705078125,
... | 3,574 | 3574 | |
Treasure Island
You find an old treasure map in your grandma’s attic. the map shows a cannon, a coconut tree, and a palm tree. the map states that to find the treasure you must:
a. start at the cannon, walk toward the palm tree while counting your paces. when you reach the palm tree, turn 90 degrees to your left and w... | 4 | [
0.04296875,
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0.0123291015625,
-0.06689453125,
0.038085... | 3,575 | 3575 | |
Absolute maximum & minimum values.
January 14th 2007, 05:50 PM #1
Newbie
Joined
Jan 2007
Posts
19
Absolute maximum & minimum values.
Find the absolute maximum & minimum values of f(t)=2t(16-t^2)^(1/2) in the interval [-2, 4]. Give the answer in the form of f(a1)=b1, f(a2)=b2. Do not round the answers.
... | 5 | [
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-0.04638671875,
0.10546875,
0.056884765625,
-0.119140625,
-0.04... | 3,576 | 3576 | |
est for
Load the sample data. Create vectors containing the first and second columns of the data matrix to represent students' grades on two exams.
load examgrades;
x = grades(:,1);
y = grades(:,2);
Test the null hypothesis that the data in x and y comes from distributions with the same variance.
[h,p,ci,stats] = v... | 5 | [
0.025634765625,
-0.00102996826171875,
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-0.0186767578125,
-0.002471923828125,
0.026123046875,
-0.07470703125,
-0.03979492187... | 3,577 | 3577 | |
September
Back in January, I told my readers that I had been
expelled from the teacher certification program
at the University of Winnipeg. Over the next two months, I attempted to fight my expulsion. The University set up a kangaroo court to hear my final appeal, which was rejected in the end.
Last week, I filed ... | 4 | [
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0.0458984375,
-... | 3,578 | 3578 | |
Math Help
March 22nd 2009, 12:46 AM #1
Member
Joined
Oct 2008
Posts
158
differentiate
how do u differentiate nlnnln(lnn)? i have the answer but I dont know how to do it. Please help explain how to differntiate 3 or more products.
Do you mean:
$n\cdot \ln(n) \cdot \ln(\ln(n))~,~n \in \mathbb R^... | 5 | [
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0.029052734375,
-0.00823974609375,
-0.1... | 3,579 | 3579 | |
Sums of Powers of Positive Integers - Johann Faulhaber (1580-1635), Germany
Johann Faulhaber was an arithmetic teacher (rechenmeister), who spent his entire life in Ulm, Germany. He also was an enthusiastic adherent of the new Protestantism who highlighted the number 666 in
all of his books, whether religious or mathem... | 5 | [
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0.0299072265625... | 3,580 | 3580 | |
Localized geometric topologies with bounded node degree for three-dimensional wireless sensor networks
Abstract
Three-dimensional (3D) wireless sensor networks have attracted a lot of attention due to their great potential usages in both commercial and civilian applications, such as environmental data
collection, poll... | 4 | [
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-0.062... | 3,581 | 3581 | |
Proposition 22
To construct a triangle out of three straight lines which equal three given straight lines: thus it is necessary that the sum of any two of the straight lines should be greater than the remaining
one.
Let the three given straight lines be A, B, and C, and let the sum of any two of these be greater than... | 4 | [
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0.0084838867187... | 3,582 | 3582 | |
Statistical Inference
Introduction to Statistical Inference
The following paragraphs provide a quick review of ideas central to statistical inference. For a more detailed treatment, see Chapter 6 of [DeGroot, 1986].
Parameters and Parameter Spaces
Statistical inference concerns the problem of inferring properties of... | 4 | [
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0.0208740234375,
... | 3,583 | 3583 | |
Quickie #7
January 3rd 2007, 04:34 AM #1
Super Member
Joined
May 2006
From
Lexington, MA (USA)
Posts
11,657
Thanks
598
Quickie #7
Show that for all integer values of $x$,
. . $x^9 - 6x^7 + 9x^5 - 4x^3$ is divisible by $8640.$
Soroban, am I on the right track?.
We have to show that... | 5 | [
0.01019287109375,
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-0.107421875,
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-0.003... | 3,584 | 3584 | |
probablity with normal distribution
February 18th 2007, 08:19 AM
gracy
probablity with normal distribution
If a baseball player's batting average is 0.260 (26%), find the probability that the player will get at most 21 hits in 100 times at bat.
February 18th 2007, 11:39 AM
Soroban
Hello, Gracy!
Who a... | 4 | [
0.095703125,
0.04052734375,
-0.0125732421875,
-0.0084228515625,
-0.054931640625,
0.02197265625,
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0.123046875,
0.007476806640625,
0.1416015625,
0.047119140625,
-0.09130859375,
0.0208740234375,
0.047607421875,
0.0615234375,
-0.00189971923828125,
-0.046630859375,
-0.0... | 3,585 | 3585 | |
GRE Practice Questions : 2013
The average age of the 5 members of a family is 25 years. The age of the youngest member is 5 years. What was the average age of the members of the family just before the youngest member was born?
Sum of ages of 5 members = 25*5
The sum of ages of five members increased by 25 years in th... | 4 | [
0.044921875,
0.0213623046875,
0.05615234375,
-0.062255859375,
-0.0242919921875,
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0.0888671875,
-0.007080078125,
0.0308837890625,
-0.046875,
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0.019775390625,
-0.001922607421875,
-0.055908203125,
0.011474609375,
-0.07177734375,
-0.060058... | 3,586 | 3586 | |
Cones - Center of Gravity, Center of Mass, etc.
2012-May-14, 03:56 PM #271
Established Member
Join Date
Jul 2006
Posts
221
Is This Correct Solution
Is this the correct solution for the double-integral?
So if the 2nd segment has an h=6 and r=1.5 then the answer is 0.029857499854668?
Not Sure
Je... | 4 | [
0.00787353515625,
0.048095703125,
0.01519775390625,
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0.00946044921875,
0.0869140625,
-0.027099609375,
-0.051513671875,
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0.00994873046875,
-0.01361083984375,
-0.047607421875,
-0.04052734375,
-0.031494140625,
-0.054199218... | 3,587 | 3587 | |
Number of subgraphs within a complete graph
April 24th 2013, 09:58 AM
JK94
Number of subgraphs within a complete graph
How many subgraphs with at least one vertex does K3 (a complete graph with 3 vertices) have?
I know that K3 is a triangle with vertices a, b, and c. From asking for help elsewhere I was told... | 4 | [
-0.049560546875,
-0.017578125,
-0.0308837890625,
-0.03515625,
-0.00885009765625,
-0.03515625,
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-0.0269775390625,
0.0220947265625,
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0.05126953125,
-0.015869140625,
0.036865234375,
0.068359375,
0.013916015625,
-0.07519531... | 3,588 | 3588 | |
Metrigear Vector Pt 8: Pedal Speed (2)
In
the last post
I discussed some data Metrigear presented on
their blog
showing accelerations measured at the pedal spindle, decomposed into radial and tangential components. I wanted to step back and discuss the derivation of power from pedal speed. Okay, to be honest
I'd pr... | 4 | [
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0.05126953125,
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0.027587890625,
0.0002689361572265625,
-0.041748046875,
-0.06884765625,
0.09521484375,
-0.03112792... | 3,589 | 3589 | |
euler stepwise method
not to sure how to do this question, thanks for any help
Euler, without correction, is the simplest possible method of solution approximation. Are you SURE you are serious about this class? Really, if you are struggling with this, you will not be a happy
camper at all in the real near future. Jus... | 4 | [
-0.04296875,
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0.0625,
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0.06591796875,
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0.019775390625,
-0.11767578125,
-0.03... | 3,590 | 3590 | |
RE: st: precision problems with Mata? naaaahh...
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
RE: st: precision problems with Mata? naaaahh...
From "Jann Ben" <ben.jann@soz.gess.ethz.ch>
To <statalist@hsphsun2.harvard.edu>
Subject RE: st: precision problems with Mata? naaaahh...... | 4 | [
-0.03955078125,
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0.03662109375,
0.00... | 3,591 | 3591 | |
Natural logarithms
April 8th 2010, 06:17 AM
Schdero
Natural logarithms
1) ln( $x^{\frac{1}{2}}$)=2.
We know: ln( $x^{n}$)=n ln(x)
-> 2ln(x)=ln(2) --> ln(x)= ${\frac{ln(2)}{2}}$. --> x= $e^{\frac{ln(2)}{2}}$.
Is that correct? Because my booklet, again, says something different ;)
2) are generally... | 4 | [
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0.017822265625,
0.06884765625,
-0.11328125,
0.0219726... | 3,592 | 3592 | |
Modulo Classes Problems
February 8th 2009, 08:49 PM #1
Member
Joined
Mar 2008
From
Acolman, Mexico
Posts
118
Modulo Classes Problems
Hello, I need help with the following problem
Let $n \in \mathbb{N}$ and $a \in \mathbb{Z}$, so $[a] \in \mathbb{Z}_n$. Prove that there exists an integer $b$ suc... | 5 | [
-0.07763671875,
0.08447265625,
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-0.05810546875,
-0.07666015625,
-0.07958984375,
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0.010986328125,
0.068359375,
-0.0274658203125,
-0.0027313232421875,
-0.004669189453125,
0.001701354980468... | 3,593 | 3593 | |
Kllll by Catefanfan
Sub: Finance Question:
Calculation of variance of portfolio.
Topic: Portfolio management
ClassOf1 provides expert guidance to College, Graduate, and High school students on homework and assignment problems in Math, Sciences, Finance, Marketing, Statistics, Economics, Engineering, and
many other su... | 4 | [
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-0.03369140625,
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0.0002040863037109375,
-... | 3,594 | 3594 | |
Uniform Convergence of Series
November 3rd 2007, 06:30 PM #1
Member
Joined
Jan 2007
Posts
114
Uniform Convergence of Series
Hi,
Show that the series $\sum \frac{x^n}{1+x^n}$ converges uniformly on [0,a] for any a in (0,1)
There is a theorem in the book that says that is the series of functions ... | 4 | [
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-0.010498046875,
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-0.019775390625,
-0.05712890625,
-0.10498046875,
0.05053710937... | 3,595 | 3595 | |
John's Chess Playground
al-Suli's Diamond
One Abu Bakr Muhammad bin Yahya al-Suli composed this ancient problem that went unsolved for over a thousand years. It uses the ferz piece which is like a bishop that only moves one step.
. . . . . . . .
. . . . . . . .
. . . . . . . .
. . . k . . . .
. . . . . . . .
.... | 4 | [
-0.00130462646484375,
0.0830078125,
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-0.10791015625,
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0.... | 3,596 | 3596 | |
Limit Problem
$lim_{x \to 0^{+}} \frac{b}{x}*[\frac{x}{a}] =$ (a > 0 , b > 0)
I must be reading your question wrong, because it looks like you have $\mathop{\lim}\limits_{x \to 0+} \frac{b}{x} * \frac{x}{a}$ In which case those x's will cancel and the limit is just $\frac{b}
{a}$
Which is NOT standard notation. I wou... | 5 | [
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0.0358886... | 3,597 | 3597 | |
[SOLVED] Rearrange to solve
May 11th 2009, 02:19 PM #1
Newbie
Joined
May 2009
Posts
3
[SOLVED] Rearrange to solve
Okay I feel dumb asking this, I should know this, but it's been so long since I've bothered to use any algebra I've completely forgotten how it would be done.
Consider this equation.
... | 4 | [
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0.0057373046875,
0.01519775390625,
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0.0771484375,
-0.0966796875,
0... | 3,598 | 3598 | |
SAT problem
May 15th 2012, 03:57 PM
klg
SAT problem
the question is:
A four-digit integer, WXYZ, in which W,X,Y and Z each represent a different digit, is formed according to the following rules.
1. x=w+y+z
2. w=Y+1
3. Z=W-5
what is the four-digit integer?
I have tried every system of eq... | 4 | [
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0.08203125,
0.0830078125,
0.091796875,
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0.0108642578125,
-0.07763671875,
-0.012451171875... | 3,599 | 3599 |