content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Iris Models
The following models are provided by Iris for fitting to SED data. Models can be combined together in complex mathematical expressions to better model features of a SED. Models are assumed to be
suitable for modeling the continuum, unless it is specifically noted that the model is for modeling spectral lin... | 4 | [
-0.07080078125,
-0.11669921875,
0.0498046875,
0.0390625,
-0.03515625,
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0.00506591796875,
0.033447265625,
-0.0458984375,
0.0196533203125,
0.0247802734375,
-0.0546875,
-0.004425048828125,
-0.033203125,
0.0341796875,
0.0025482177734375,
-0.000010788440704345703,
-0.0168... | 3,200 | 3200 | |
could someone please help me prove these equations have the same frequency
August 13th 2012, 10:18 PM
rich1979
could someone please help me prove these equations have the same frequency
V1=3sin(wt)
V2=2cos(wt) v3=v1+v2
v3=3.61sin(wt+33.7degrees)
how do i prove that the resultant voltage V3 is in the... | 4 | [
-0.1083984375,
0.00799560546875,
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0.039794921875,
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0.0068359375,
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0.12890625,
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-0.0908203125,
0... | 3,201 | 3201 | |
Find a basis for teh corresponding cyclic subspace
February 20th 2013, 02:59 PM
TimsBobby2
Find a basis for teh corresponding cyclic subspace
For each of the following find a basis for the corresponding cyclic subspace:
a) T = d/dx : R[<=3][x] --> R[<=3][x], v = x^2
b) T = d/dx: R[<=3][x] --> R[<=3][x]... | 5 | [
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0.0380859375,
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-0.115234375,
-0.00... | 3,202 | 3202 | |
Multi - Balancing An Object
April 14th 2007, 04:09 AM #1
Member
Joined
Sep 2006
Posts
221
Multi - Balancing An Object
Suppose we have a landmass of an island that needs to be balanced by an elephant using its tusk. We need to find the right place to place the elephant's tusk to balance it. The center of ... | 4 | [
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0.02099609375,
0.03564453125,
0.00011968612670898438,
0.00... | 3,203 | 3203 | |
Triangle w/semicircle, calculating area, changing variables in length
June 7th 2009, 06:31 PM
realintegerz
Triangle w/semicircle, calculating area, changing variables in length
I'm reviewing for finals but this geometry question got me.
http://i40.tinypic.com/jzbj2p.jpg
The figure above is an isosceles ... | 4 | [
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0.01177978515625,
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-0.021... | 3,204 | 3204 | |
Is the following a sufficient condition for asphericity?
up vote 18 down vote favorite
1
I recently came across the following question while working on some problems on manifolds with lower Ricci curvature bounds.
Given $n$ does there exist a large $R>0$ with the following property:
Suppose $M^n$ is a closed Riemann... | 5 | [
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0.048339843... | 3,205 | 3205 | |
area of a circle in a square
February 11th 2011, 10:13 AM #1
Junior Member
area of a circle in a square
You forgot length of red line...
oh yeah sorry it is 6
i meant 6
You could use Pythagoras' theorem
$R^2=(R-6)^2+(R-3)^2$
$R^2=R^2-12R+36+R^2-6R+9$
$R^2-18R+45=0$
$(R-3)(R-15)... | 4 | [
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0.048828125,
... | 3,206 | 3206 | |
Verify the trigonometric identity
May 7th 2013, 06:03 AM #1
Newbie
Joined
Aug 2012
From
Nairobi
Posts
8
Verify the trigonometric identity
I'm currently learning trigonometric identities and my favourite way of verifying a given trigonometric identity is to transform one side to the other.
I usual... | 5 | [
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0.09082031... | 3,207 | 3207 | |
Binomial coefficients 3
September 16th 2009, 06:49 PM #1
Newbie
Joined
Sep 2009
Posts
15
Binomial coefficients 3
This problem is very difficult...can someone help me with this please? ...this is all about binomials
1. Show that
$<br /> \sum_{k=1}^{n}k\binom{n}{2k+1}=(n-2){2}^{n-3}<br />$
... | 5 | [
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0.0673828125,
-0.032958984... | 3,208 | 3208 | |
Von Neumann Morgenstern Utility - Expected Value Choice Under Uncertainty
May 12th 2011, 07:12 AM
Apache
Von Neumann Morgenstern Utility - Expected Value Choice Under Uncertainty
If Mr.D doesnt break the speed limit he earns a guaranteed income of £30000. If he breaks speed limits he is able to double his income... | 5 | [
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0.0625,
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Fick's 1st
ECE532 Biomedical Optics
©1998
Steven L. Jacques, Scott A. Prahl
Oregon Graduate Institute
to next page
Chapter 5 Fick's 1st law of diffusion
Course
Home
Diffusion occurs in response to a concentration gradient expressed as the change in c... | 5 | [
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understanding the meaning of the answer
December 30th 2007, 01:25 AM
0123
understanding the meaning of the answer
All the answers to these excercices on hypothesis testing go like this : " therefore reject H_0 at a alfa greater than **(number)** " WHat does it mean? For example, at this last excercice I got
... | 5 | [
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Eigenvalues
November 3rd 2007, 08:01 PM
Thomas
Eigenvalues
Find all the eigenvalues (real and complex) of the matrix:
$\left( \begin{array}{ccc} -6 & 22 & 11 \\ -2 & -7 & -2 \\ -1 & 26 & 10 \end{array} \right)$
I started off by using the formula for finding the characteristic polynomial, and reducing t... | 4 | [
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Homework Help
Posted by anxious on Monday, May 4, 2009 at 9:35pm.
Jack usually mows his lawn in 6 hours. Marilyn can mow the same lawn in 5 hours How much time would it take them to mow the lawn together?
• algebra - bobpursley, Monday, May 4, 2009 at 9:51pm
In 30 hours, Jack mows 5 lawns, and Marilyn can mow ... | 4 | [
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Small Challenge # 2
August 1st 2010, 05:42 AM #1
Small Challenge # 2
This is a challenge question:
Let $f:[0,1]\to \mathbb{R}$ with $f(0)>0$ and $f(1)<0$. If there exists a continuous function $g:[0,1]\to \mathbb{R}$ such that $f+g$ is non-decreasing, show there exists a $x_0\in (0,1)$ such
that $f(x_0)=... | 5 | [
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... | 3,214 | 3214 | |
Math Help
April 6th 2006, 01:04 AM #1
Newbie
Joined
Feb 2006
Posts
14
continuity
5 Consider the function f with rule f(x) {(x^2 - 25 )/ (x-5) if x ≠ 5
a if x = 5
If f is continuous on R, find the value of a.
rachael
5 Consider the function f with rule f(x) {(x^2 - 25 )/ (x-5) if x ≠ 5
... | 4 | [
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Homework Help
Posted by Keya on Tuesday, May 24, 2011 at 9:57pm.
The volume of a ball is 36 pi cm^3. Find the dimensions of a rectangular box that is large enough to hold the ball.
• math - MathMate, Tuesday, May 24, 2011 at 10:02pm
The box to hold the ball must be cubic, and each side is equal to the diameter... | 4 | [
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... | 3,216 | 3216 | |
Need proof by induction
September 8th 2013, 01:41 PM #1
Newbie
Joined
Sep 2013
From
Texas
Posts
4
Need proof by induction
(original question) Prove that the Summation of j=0 to n of (-1/2)^j = (2^n^+1 + (-1)^n) / (3*2^n)
I have a question that includes the following
P(k) (-1/2)^0 + (-1/2)^1... | 5 | [
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[Maxima] realonly in algsys.lisp
Alexey Beshenov al at beshenov.ru
Sun Apr 26 05:05:35 CDT 2009
The option variable realonly is quite confusing since it does not find
real solutions, but only solutions which are free of %i (purely using
freeof).
For example, when realonly is false,
algsys ([x^4 + 1], [x]);
retur... | 5 | [
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0.01495361328... | 3,218 | 3218 | |
Factoring
If one root of the equation 2x^2 + 10x + k = 0 is -2, what is the other root?
Plug in -2 for x and solve for k: \begin{aligned}<br /> 2x^2 + 10x + k &= 0 \\<br /> 2(-2)^2 + 10(-2) + k &= 0 \\<br /> 8 - 20 + k &= 0 \\<br /> -12 + k &= 0 \\<br /> k &= 12<br /> \end{aligned} For
a quadratic equation $ax^2 + bx ... | 4 | [
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When Parry is better than Dodge
12-01-2008, 03:05 PM
shushikiary
When Parry is better than Dodge
So I was thinking the other day to my self, hmm with the DR curves it might be possible for parry to be better than dodge at some point, so I did some digging and saw that no one did any math on
it yet, so here c... | 4 | [
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absolute functions help
September 19th 2010, 09:55 AM #1
Newbie
Joined
Sep 2010
Posts
1
absolute functions help
This problem was proposed to me recently and the absolute values are throwing me off.
Given the functions f(x) = |-2x-4| and g(x) = |x+3|, considering appropriate domain restrictions, stat... | 4 | [
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newton's method of approximation
September 2nd 2009, 01:02 AM
deej813
newton's method of approximation
A first approximation to the equation x^3 - 3x^2 + 1 = 0 is 0.5. Using one application of Newton's method, find a better approximation to two decimal places.
is this correct??
P(0) = 1 -pos
P(1) = ... | 5 | [
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Solving Systems of Linear Equations by Substitution
To solve linear systems by substitution, we solve one equation for one variable and then use that information to solve the other equation for the other variable. It's exactly the same as when a
basketball team makes a substitution, except with less basketball and more... | 4 | [
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How do I find the linear factor?
May 20th 2009, 07:55 AM #1
Newbie
Joined
May 2009
Posts
17
How do I find the linear factor?
Hello, I need help with the following. could someone please help?
Find the linear factor of the form x-a, when a is a constant, of the cubic polynomial
$f(x) = x^3+2x^2+2... | 4 | [
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0.0... | 3,224 | 3224 | |
Number Fields
GCDs and LCMs
Since every ideal factors in a Dedekind domain, we may naturally define the greatest common divisor $gcd(I,J)$ and least common multiple $lcm(I,J)$ of two ideals $I,J$. Note "greatest" and "least"
take the opposite meaning here. We take "multiple" to mean subideal, and "divisor" means large... | 4 | [
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0... | 3,225 | 3225 | |
The Yummie Deal and Variations
April 2009
In Sheer Luck, the December 2004 Card Colm, we highlighted a well-known card control based on an elimination deal credited to Stewart Judah in the 1930s. It hinges on the fact that the 22nd card from
the top is the last one dealt when the following procedure is applied to a fu... | 4 | [
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... | 3,226 | 3226 | |
Proposition 19
If four numbers are proportional, then the number produced from the first and fourth equals the number produced from the second and third; and, if the number produced from the first and fourth equals
that produced from the second and third, then the four numbers are proportional.
Let A, B, C, and D be ... | 4 | [
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-0.020751953125,
-0.017578125,
0.0654296875,
0.021240234375,
-0.05908203125,
0.0888671875,
0.031494140625,
-0.01385498046875,
0.00933837890625,
-0.07177734375,
0.141601562... | 3,227 | 3227 | |
Problem with complexe numbers.
November 7th 2010, 11:00 AM #1
Newbie
Joined
Nov 2010
Posts
1
Problem with complexe numbers.
Hi !
I am have a problem resolving an equation with complexe numbers on their algebrique form.
Here is it :
For all complexe z = x + iy (x and y real and different fro... | 4 | [
-0.1171875,
0.0306396484375,
0.0111083984375,
0.045654296875,
-0.0498046875,
-0.07080078125,
-0.01287841796875,
-0.0002117156982421875,
0.0201416015625,
-0.07568359375,
0.019287109375,
-0.041015625,
0.076171875,
0.08203125,
-0.068359375,
-0.0286865234375,
-0.045654296875,
-0.061523... | 3,228 | 3228 | |
CS129: Introduction to Matlab (Code)
intro.m
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Introduction to Matlab
% (adapted from http://www.stanford.edu/class/cs223b/matlabIntro.html)
%
% Stefan Roth <roth (AT) cs DOT brown DOT edu>, 09/08/2003
%
% Stolen from cs143 for cs129 by
% Patri... | 4 | [
-0.080078125,
0.01324462890625,
-0.09716796875,
-0.03125,
0.027099609375,
-0.00933837890625,
0.0159912109375,
0.0224609375,
-0.037109375,
0.031494140625,
0.037353515625,
0.021728515625,
0.051025390625,
-0.0201416015625,
-0.05224609375,
0.03662109375,
-0.0810546875,
0.0458984375,
... | 3,229 | 3229 | |
Prove that the sequence is not bounded above
We use $\ln(1+x)\geq x-\frac{x^2}2$ for $x\geq 0$ to get $\ln a_n=\sum_{j=1}^n\ln\left(1+\frac 1{2j}\right)\geq \sum_{j=1}^n\frac 1{2j}-\frac 12\sum_{j=1}^n\frac 1{(2j)^2}=\frac 12\sum_{j=1}^n\frac
1j-\frac 18\sum_{j=1}^n\frac 1{j^2}$. Since $\lim_{n\to \infty}\sum_{j=1}^n\f... | 5 | [
0.02978515625,
-0.041015625,
0.0986328125,
0.00518798828125,
-0.004241943359375,
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-0.029296875,
0.07275390625,
0.0203857421875,
0.0115966796875,
-0.06787109375,
0.0322265625,
-0.00994873046875,
0.0216064453125,
-0.10107421875,
-0.044189453125,
0.078125,
0.012145996... | 3,230 | 3230 | |
Linear dependence
October 10th 2007, 05:49 AM #1
Newbie
Joined
Oct 2007
Posts
12
Linear dependence
hi
Determine whether the functions in the following set are linearly dependent or linearly independent. If they are linearly dependent find a linear equation which they satisfy.
{ ln(x - 1), 2l... | 5 | [
-0.07666015625,
-0.0859375,
0.0159912109375,
0.041259765625,
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-0.030029296875,
0.0263671875,
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0.0286865234375,
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0.0205078125,
-0.0849609375,
0.03662109375,
-0.09326171875,
-0.053955078125,
-... | 3,231 | 3231 | |
One integration by parts problem
September 24th 2008, 01:34 PM #1
Junior Member
Joined
Dec 2006
Posts
40
One integration by parts problem
Just, the Integral of (x^3)/(x^3+1) dx
I know you can turn the denominator into (X+1)(X^2-x+1). What do you do from there? thanks =)
I doublechecked this but... | 5 | [
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-0.03515625,
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0.0220947265625,
... | 3,232 | 3232 | |
An experimental investigation of the oscillatory boundary layer around the breaking point/Ostsilleeruva piirikihi eksperimentaalne uurimine laine murdepunkti umbruses.
Link/Page Citation
1. INTRODUCTION
One of the most interesting problems, associated with the modelling of oscillatory ... | 4 | [
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-0.0299072265625,
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-0.05029296875,
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0.0363... | 3,233 | 3233 | |
BBC - h2g2 - Mersenne Numbers
- A670051
A Mersenne number is a number that is one less than a power of 2. For example, 2, 4, 8, 16, 32 and 64 are all powers of 2, so 1, 3, 7, 15, 31 and 63 are the first six Mersenne numbers. To form the
7th Mersenne number, take seven twos, multiply them together and subtrac... | 4 | [
0.0263671875,
0.06689453125,
-0.041015625,
0.0108642578125,
0.00762939453125,
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-0.0272216796875,
0.1240234375,
-0.0120849609375,
-0.0081787109375,
-0.126953125,
0.011474609375,
0.083984375,
-0.0712890625,
-0.06884765625,
-0.0052490234375,
-0.095703125,
0.02001953125,... | 3,234 | 3234 | |
Calculus 4: equation of a plane
September 13th 2008, 07:55 PM #1
Junior Member
Joined
Sep 2008
Posts
44
Calculus 4: equation of a plane
Hello everyone,
Could someone please help me on this problem?
A plane has equation z=5x-2y+7
a. Find the value of W making the vector Wi+j+.5k normal to t... | 4 | [
-0.1025390625,
0.0042724609375,
0.0033416748046875,
0.0086669921875,
-0.0027618408203125,
0.039306640625,
0.040283203125,
0.0034027099609375,
-0.03564453125,
0.1201171875,
-0.00003266334533691406,
-0.00421142578125,
0.0194091796875,
0.046142578125,
-0.05224609375,
0.10302734375,
-0.1... | 3,235 | 3235 | |
Sorting and Searching
4.2 Sorting and Searching
This section under construction.
The sorting problem is to rearrange a set of items in ascending order. One reason that it is so useful is that it is much easier to search for something in a sorted list than an unsorted one. In this
section, we will consider in detail... | 5 | [
0.001434326171875,
0.0986328125,
0.00347900390625,
-0.06396484375,
-0.06298828125,
0.00970458984375,
0.0390625,
0.05029296875,
-0.034423828125,
-0.0228271484375,
-0.06201171875,
0.02294921875,
0.1318359375,
-0.029052734375,
-0.026123046875,
-0.08642578125,
0.019287109375,
0.0131835... | 3,236 | 3236 | |
Proving y^2=-4x
May 27th 2010, 04:48 AM #1
Newbie
Joined
May 2010
Posts
14
Proving y^2=-4x
I am given equations with coefficients related by a common ratio, thus a geometric sequence, such as
2x+4y=8
3x+12y=48
I plotted numerous lines which obey this geometric pattern and discovered that th... | 5 | [
-0.0303955078125,
-0.0045166015625,
-0.0390625,
-0.0021514892578125,
-0.0703125,
0.038818359375,
-0.0174560546875,
-0.0240478515625,
0.035400390625,
-0.028076171875,
0.095703125,
0.032958984375,
0.0181884765625,
0.08740234375,
0.0022735595703125,
0.130859375,
-0.07080078125,
-0.044... | 3,237 | 3237 | |
find values for x
November 14th 2009, 07:27 PM
scrible
find values for x
Hi, I have a problem that trying to solve all evning and it is in two parts (a) If $a$ is a positive constant, find the set of valus of $x$for which $a(x^2 +2x-8)$ is negative. Find the value of
a if this function has a minimum value of... | 4 | [
-0.02001953125,
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-0.01263427734375,
-0.0260009765625,
0.10791015625,
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0.10009765625,
0.0142822265625,
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0.1318359375,
-0.03564453125,
0.083984375,
0.031005859375,
0.00628662109375,
-0.005340576171875,
0.02294921875,
-0... | 3,238 | 3238 | |
Re: st: Reconcile Log Transformed with Untransformed Results
Notice: On March 31, it was announced that Statalist is moving from an email list to a forum. The old list will shut down on April 23, and its replacement, statalist.org is already up and running.
[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][... | 4 | [
-0.0869140625,
0.0038299560546875,
0.00970458984375,
0.08544921875,
0.05712890625,
0.01312255859375,
-0.0164794921875,
0.006072998046875,
0.024169921875,
0.0281982421875,
0.0255126953125,
0.04345703125,
-0.0189208984375,
0.01373291015625,
-0.04833984375,
-0.0191650390625,
-0.07226562... | 3,239 | 3239 | |
Arithmetic : Powers and Roots Question
January 6th 2011, 04:09 AM #1
Member
Joined
Jan 2011
Posts
95
Arithmetic : Powers and Roots Question
Hi All,
I'm new to the forum so firstly hello. The following question may be rudimentary given the level of ability of some of you but I would very much apprecia... | 4 | [
-0.00946044921875,
-0.09033203125,
-0.1025390625,
0.06884765625,
-0.03125,
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0.04833984375,
-0.00885009765625,
0.039794921875,
0.044677734375,
0.050537109375,
0.0031585693359375,
0.04833984375,
0.035888671875,
0.083984375,
0.047119140625,
-0.1484375,
0.072265625,
... | 3,240 | 3240 | |
Differentials
April 17th 2008, 01:58 PM #1
Junior Member
Joined
Sep 2007
Posts
56
Differentials
If $x^2y + yx^2 = 6$, then what does $\frac{d^2y}{dx^2}$ equal at the point $(1,3)$?
**I have not attempted this solution because I do not understand how $\frac{d^2y}{dx^2}$ works.
I am going to ass... | 5 | [
-0.08154296875,
-0.049560546875,
0.005096435546875,
0.0419921875,
0.033447265625,
0.0546875,
-0.0751953125,
-0.0198974609375,
0.059326171875,
0.000499725341796875,
0.140625,
-0.012451171875,
-0.01446533203125,
-0.032470703125,
-0.031982421875,
0.06103515625,
-0.11474609375,
0.01287... | 3,241 | 3241 | |
Finding Volume of a Torus by revolving a disk.
October 4th 2012, 12:53 PM #1
Newbie
Joined
Oct 2012
From
NY
Posts
3
Finding Volume of a Torus by revolving a disk.
Ok everyone, new to the forum here. I just started taking Calc 2 (online) after graduating 8 years ago. Taking it to apply for master's in... | 5 | [
-0.056884765625,
0.06591796875,
0.0147705078125,
-0.027587890625,
-0.0252685546875,
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-0.0830078125,
0.01031494140625,
0.004913330078125,
0.0155029296875,
0.00848388671875,
0.03125,
-0.00994873046875,
0.00885009765625,
-0.087890625,
-0.02880859375,
-0.0810546875,
0.01... | 3,242 | 3242 | |
TSGL
petsc-3.5.1 2014-07-24
TSGL
DAE solver using implicit General Linear methods These methods contain Runge-Kutta and multistep schemes as ... | 4 | [
-0.154296875,
-0.031982421875,
0.042236328125,
-0.0081787109375,
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-0.037841796875,
0.015380859375,
-0.01171875,
-0.0220947265625,
0.06640625... | 3,243 | 3243 | |
Compact MU or BP Modules
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Is there a classification of the compact MU or BP modules in any category of spectra? Can the periodicity theorem be finagled to give a MU-module st... | 5 | [
-0.047607421875,
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0.0179443359375,
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0.00885009765625,
-0.0267333984375,
-0.00775146484375,
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0.017333984375,
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0.02392578125,
0.07763671875,
0.026611328125,
-0.0191650390625,
0.11132... | 3,244 | 3244 | |
How to prove sinx+3-2x=0 has only one unique solution
November 21st 2010, 11:58 AM #1
Newbie
Joined
Nov 2010
Posts
3
How to prove sinx+3-2x=0 has only one unique solution
I know sinx +3-2x=0 has only one unique solution that i found using Newtons algorithm in excel and from seeing the graph of sinx+3-2x=... | 5 | [
-0.09619140625,
-0.00445556640625,
-0.0771484375,
-0.01348876953125,
-0.0274658203125,
0.08251953125,
-0.0107421875,
0.0225830078125,
0.0032196044921875,
0.01220703125,
0.0849609375,
-0.072265625,
0.017822265625,
-0.0400390625,
0.0230712890625,
-0.0478515625,
-0.0810546875,
-0.0541... | 3,245 | 3245 | |
Writing Equations
Converting Among Forms
The goal in converting an equation to slope-intercept form is to isolate y on one side of the equation. Thus, to convert to slope-intercept form, perform inverse operations on variable terms and
constant terms until y stands alone on one side.
Example: Convert 6y + 4x = 7 to ... | 4 | [
-0.0693359375,
-0.0274658203125,
-0.0264892578125,
0.006134033203125,
-0.01068115234375,
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0.0037078857421875,
0.01373291015625,
0.0174560546875,
0.052734375,
0.0113525390625,
-0.03271484375,
0.0751953125,
0.01165771484375,
0.08740234375,
0.09130859375,
-0.1162109375,
... | 3,246 | 3246 | |
Independent Random Variables
January 16th 2009, 12:47 AM #1
Senior Member
Joined
Jan 2009
Posts
404
Independent Random Variables
Question 1)
Note: iid=idependent and identically dsitributed
I don't get the part underlined in red. Why are they independent? How can we prove that, or at least intu... | 5 | [
-0.04638671875,
-0.10546875,
0.0703125,
-0.0264892578125,
0.08837890625,
0.0147705078125,
0.08984375,
-0.0615234375,
0.01129150390625,
-0.01153564453125,
0.027099609375,
0.06640625,
0.003448486328125,
-0.05908203125,
0.003082275390625,
0.001312255859375,
-0.06494140625,
-0.04541015... | 3,247 | 3247 | |
factorising query
factorise: 13x^2 + 14x - 27 = 0 (x-27)(13x+1) is this correct???
Quote: Originally Posted by x-disturbed-x $(x-27)(13x+1) \ \ \ = \ x(13x+1) -27(13x+1)$ $=\ 13x^2+x\ -351x-27$ $=\ 13x^2 -350x-27$ So the answer is no. RonL
Quote: Originally Posted by x-disturbed-x If you can't factor it just by spott... | 4 | [
-0.0238037109375,
0.0262451171875,
-0.01025390625,
0.06201171875,
-0.0125732421875,
0.078125,
-0.0024566650390625,
0.0289306640625,
-0.00433349609375,
-0.06298828125,
0.12060546875,
-0.0260009765625,
0.0859375,
0.050048828125,
-0.049072265625,
-0.0159912109375,
-0.07421875,
0.03906... | 3,248 | 3248 | |
domain of f
f(x) = (square root -x) / x^3 + 2x^2 - 3x find the domain of f
1)The square root needs to be non-negative. Thus, $\sqrt{-x}$ for $-x\geq 0$ thus, $x\leq 0$. 2)The numerator cannot be zero. $x^3+2x^2-3x=0$ $x(x^2+2x-3)=0$ $x(x+3)(x-1)=0$ Thus, $xot = 0,1,-3$.
Since $x\leq 0$ the only one of those that works... | 4 | [
-0.00537109375,
-0.04541015625,
-0.107421875,
-0.01251220703125,
-0.057373046875,
-0.057861328125,
-0.036376953125,
0.005340576171875,
0.03173828125,
-0.03369140625,
0.07080078125,
-0.09912109375,
0.03076171875,
0.0220947265625,
0.0205078125,
-0.031494140625,
-0.016357421875,
-0.11... | 3,249 | 3249 | |
Calculating the area under a curve using Riemann sums
The area under a curve
Given a function $f(x)$ where $f(x) \ge 0$ over an interval $a \le x \le b$, we investigate the area of the region that is under the graph of $f(x)$ and above the interval $[a, b]$ on the $x$-axis.
For example, the below purple shaded region ... | 5 | [
-0.0380859375,
0.00848388671875,
0.0306396484375,
-0.037109375,
-0.051513671875,
-0.05615234375,
-0.0024261474609375,
0.064453125,
0.00726318359375,
-0.0498046875,
-0.078125,
0.0020294189453125,
0.0302734375,
0.049072265625,
0.05126953125,
-0.0135498046875,
0.0283203125,
-0.0546875... | 3,250 | 3250 | |
School Crosswalk Rating Criteria
The Public Works Department conducts "School Counts" during each time period when children are going to and from school. The data gathered includes the number of children crossing and the total
number of opposing cars and trucks. The data is summarized and a crosswalk rating is derived ... | 4 | [
0.000522613525390625,
-0.0174560546875,
-0.0203857421875,
0.035400390625,
0.07275390625,
0.054443359375,
-0.037353515625,
0.0908203125,
-0.06982421875,
0.02880859375,
0.134765625,
-0.06884765625,
0.045654296875,
0.07275390625,
-0.02587890625,
0.08642578125,
0.1181640625,
0.03735351... | 3,251 | 3251 | |
Non-Horizontally Launched Projectile
In the previous part of Lesson 2, the use of kinematic equations to solve projectile problems was introduced and demonstrated. These equations were used to solve problems involving the launching of
projectiles in a horizontal direction from an elevated position. In this section of L... | 4 | [
-0.01611328125,
0.053466796875,
0.022705078125,
-0.08984375,
-0.047607421875,
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0.031494140625,
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0.1376953125,
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0.047119140625,
-0.0181884765625,
0.04638671875,
-0.023681640625,
0.079589... | 3,252 | 3252 | |
Moments of a Probability Distribution
We are now familiar with some of the properties of probability distributions. On this page we will introduce a set of numbers that describe various properties of such distributions. Some of these
have already been encountered in our previous discussion, but now we will see... | 5 | [
-0.0296630859375,
-0.05419921875,
0.019287109375,
0.0137939453125,
-0.0006256103515625,
-0.007232666015625,
0.061279296875,
0.08642578125,
0.123046875,
0.06591796875,
0.0419921875,
0.0888671875,
0.03466796875,
0.005615234375,
-0.0546875,
-0.0673828125,
-0.0106201171875,
-0.02465820... | 3,253 | 3253 | |
Re: st: Using multiple equations with Optimize()
[Date Prev][Date Next][Thread Prev][Thread Next][Date index][Thread index]
Re: st: Using multiple equations with Optimize()
From jpitblado@stata.com (Jeff Pitblado, StataCorp LP)
To statalist@hsphsun2.harvard.edu
Subject Re: st: Using multiple equations with Op... | 4 | [
-0.08544921875,
-0.01287841796875,
0.0269775390625,
0.0205078125,
0.0269775390625,
0.00750732421875,
0.007415771484375,
-0.0076904296875,
0.0196533203125,
0.0184326171875,
0.056884765625,
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0.01300048828125,
-0.061279296875,
-0.015625,
0.04150390625,
-0.0242919921875,
... | 3,254 | 3254 | |
[SOLVED] Polynomials to solve for area
March 17th 2008, 05:42 PM
strafer
[SOLVED] Polynomials to solve for area
A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.
2X +... | 4 | [
0.0030670166015625,
0.078125,
0.0654296875,
0.064453125,
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Logic Puzzle Forums - View Single Post - Advanced Techniques using "Either-Or" clues
I think the difficulty stems from the fact that the Englishized clues don't state the missing logical terms (thankfully).
Ready for some tedium? If not, start another puzzle and have some more fun
Let's take your clue 2 first:
"2) ... | 4 | [
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Pascal's Simplices
II. Pascal's Simplices
Pascal's triangle is composed of binomial coefficients, each the sum of the two numbers above it to the left and right. Trinomial coefficients, the coefficients of the expansions (a + b + ... | 4 | [
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Help
Statistics[Fit] - fit a model function to data
Calling Sequence
Fit(f, X, Y, v, options)
Fit(f, XY, v, options)
Parameters
f - algebraic; model function
X - Vector or Matrix; values of independent variable(s)
Y - Vector; values of dependent variable
XY - Matrix; values of... | 5 | [
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Complex number question
March 11th 2011, 06:08 PM
Glitch
Complex number question
The question:
Suppose both c and $(1 + ic)^5$ are real (c != 0). Show that c = $\pm \sqrt{5 \pm 2\sqrt{5}}$
How do I solve this? I substituted the value of c into the complex number with the intent to find the magnitude and... | 5 | [
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Munkres' Topology
August 4th 2012, 11:41 PM #1
Junior Member
Joined
Oct 2008
Posts
41
Munkres' Topology
Hello,
I'm looking at Munkres' Topology (2nd edition), trying to refresh myself on some of the basics. I'm having an issue with an early Lemma of his (Lemma 13.1), which states:
Let X be a se... | 4 | [
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reduction of a relationship to a linear law
May 5th 2009, 11:14 PM
scouser
reduction of a relationship to a linear law
y= k(x+1) to the power of n
find approximate values for k and n given that
x 4 8 15
y 4.45 4.60 4.8
May 6th 2009, 01:57 AM
Grandad
Logs
Hello scouser
Quote:
Take l... | 4 | [
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0.02783203125... | 3,261 | 3261 | |
Wave equation
October 15th 2009, 03:38 AM #1
Member
Joined
Oct 2009
Posts
82
Wave equation
I have to verify by substitution that u(x,t)=F(x+ct) + G(x-ct) satisfies the one-dimensional wave equation.
I feel really stupid. This is supposed to be easy, but how do you simplify $\frac{\partial u}{\partia... | 5 | [
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multiple integration: hemisphere/cylinder
November 5th 2009, 03:18 AM
headaches11
multiple integration: hemisphere/cylinder
Hi, I've been stuck on this problem for a while now. I would be grateful for any help please.?
Q. Find the surface area remaining when the hemisphere
$x^2 + y^2 +z^2 = a^2$
... | 5 | [
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GMAT
Author Message
Post subject: The greatest common factor of 16
ajafari Posted:
Sun Dec 06, 2009 3:22 pm
The greatest common factor of 16 and the positive ... | 4 | [
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Algebra help
January 28th 2009, 09:30 PM #1
Newbie
Joined
Jan 2009
Posts
1
yeah I have a few problems that i can't solve. help..
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill th... | 4 | [
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Related Rates - Angles
July 4th 2011, 03:22 PM #1
Newbie
Joined
Jun 2011
Posts
4
Related Rates - Angles
Note: I already got part a, but posted it because it includes information useful for part b.
A baseball diamond is a square 90 ft on a side. A player runs from first base to second at a rate of 16... | 5 | [
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fsolve for competing equilibria
I'm trying to solve an equilibrium problem for the following competing chemical reaction:
AP + P -><- APa@P (K1 = APa@P/(AP*P) = 1e5)
AP + P -><- APp@P (K2 = APp@P/(AP*P) = 1e4)
That is; AP can bind in two ways to P and does so with two different association constants (K1 and K2). I wil... | 5 | [
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Surely You Must Be Joking, Mr. Mahajan! The "Street-Fighting Mathematician" Answers Your Questions
We recently solicited your questions for Sanjoy Mahajan, author of Street-Fighting Mathematics. As usual, you came up with some excellent questions, about everything from the methodology of educated
guessing to Mahajan’s ... | 5 | [
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I=PRT problem
August 16th 2007, 10:12 AM #1
theyellowsky17
Guest
I=PRT problem
It costs Sweet Shop Company C=0.01x^2+625 dollars to produce x pounds of chocloate creams. The company brings in R=11xdollars of Revenue from the sale of x pounds of choclolate creams.
Sweet shop company will maximize its profits ... | 5 | [
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The decadic metric
Continuing my series of posts exploring the decadic numbers… in my previous post, I explained that we will define a new “size function”, or metric, different from the usual “absolute value”, and
written $|-|_{10}$. Two numbers will be “close to” each other when the size of their difference is small.... | 4 | [
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Quadratic formula 4(a+b)±√(16(a²+2ab+b²)-48ab) / 24
September 19th 2009, 04:54 AM #1
Junior Member
Joined
Sep 2009
Posts
34
Quadratic formula 4(a+b)±√(16(a²+2ab+b²)-48ab) / 24
Hi,
I have a question in regard to a quadratic formula I'm solving.
4(a+b)±√(16(a²+2ab+b²)-48ab) / 24
4(a+b)±4√(a²... | 4 | [
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Attempting Proof by Induction with Pi
April 15th 2012, 12:32 PM
Capricious
Attempting Proof by Induction with Pi
Sorry if this is in the wrong section, this is apparently University level mathematics (I'm in HS), so I don't really know what topic it belongs to. Anyways, the problem is an attachment (I have
n... | 5 | [
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trig identity prob
November 5th 2007, 06:22 PM #1
Newbie
Joined
Sep 2007
Posts
7
trig identity prob
-Simplify each expression using the fundamental identities
2) Sec theta x cos theta
3) 1/csc^2x + 1/sec^2x
4) 1-sin^2u/cosu
5) cos^2x+ (sin x +1)^2/sin x + 1
Pleeease help, I don't... | 4 | [
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al number
Citizendium - building a quality free general knowledge encyclopedia. Click here to join and contribute—free
Many thanks December donors; special to Darren Duncan. January donations open; need minimum total $100. Let's exceed that.
Donate here. By donating you gift ... | 4 | [
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... | 3,274 | 3274 | |
Posts about rstats on Darren Wilkinson's research blog
Several papers have appeared recently discussing the issue of how to tune the number of particles used in the particle filter within a particle MCMC algorithm such as particle marginal Metropolis
Hastings (PMMH). Three such papers are:
• Doucet, Arnaud, Michael ... | 5 | [
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... | 3,275 | 3275 | |
Correlation of samples
March 5th 2010, 01:49 PM #1
Correlation of samples
Let $X_i, i= 1,..,n,$ be i.i.d. sampes from $N(\mu, \sigma^2).$ Let $\bar{X} = \frac{1}{n}\sum_{i=1}^{n} X_i.$
Prove that $\bar{X}$ and $X_i - \bar{X}$ are uncorrelated for any $i.$
for simplicity let i=1....
Let's obtain the... | 5 | [
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-... | 3,276 | 3276 | |
Interval of convergence and ratio test
April 15th 2009, 08:06 PM #1
Newbie
Joined
Apr 2009
Posts
2
Interval of convergence and ratio test
I was wondering if I could get some help on these two problems...
Find the interval of convergence....
$\sum^{\infty}_{n=2} \frac{(x-7)^{n}}{(2 ^ {n} {n}^2 l... | 5 | [
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Induction Proof
Hi all, Prove by induction that $\sum_{r=1}^n r(r!)$= (n+1)!-1 for all integers n>=1
Inductive base case. Let n=1. Then you have for LHS $\sum_{r=1}^1 r(r!) = 1(1!) = 1$ And RHS (1+1)! - 1 = 2! - 1 = 2-1 = 1. So hold for n=1. Assume it holds for n, i.e $\sum_{r=1}^n r(r!) = (n+1)! -
1$ Try to prove it ... | 4 | [
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0.01159667... | 3,278 | 3278 | |
Biomod/2013/NanoUANL/Reactor
From OpenWetWare
What is a reactor?
Introduction
The CCMV capsid was considered as a continuous stirred-tank reactor with accumulation of the product.
For an enzymatic reaction of the type:
$E + S \leftrightarrow ES \rightarrow E^0 + P$
with a reaction rate of:
$\frac{d[ES]}{dt}=k_1... | 4 | [
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-0.035888671875,... | 3,279 | 3279 | |
Want a 750+? Do this question in 30 seconds.
lot more than studying the hardest questions.
What’s another crucial component? Finding faster / easier ways to answer questions that you can already answer now.
Why? The questions that you can do right now in the 650 or 700 range will need to turn into very easy for you ... | 4 | [
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-0.0407714843... | 3,280 | 3280 | |
Please help me with this GCSE trigo question
October 9th 2008, 03:21 AM #1
Newbie
Joined
Oct 2008
Posts
10
Please help me with this GCSE trigo question
Given that x is measured in radians and x>20, find the smallest value of x such that
Is this an inequality question?
Can someone please guide m... | 4 | [
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Financial Calculation Programs for Linux
Mr. Shapiro shows us how to write a program to compute internal rate of return using three programming languages supported by Linux—Perl, C and Java.
The world of finance is rife with mathematical formulas. We are all familiar with the elementary ones like those for compound i... | 5 | [
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... | 3,282 | 3282 | |
Math Help
September 19th 2007, 06:41 PM #1
Member
Joined
Sep 2006
Posts
221
Dif EQ
Another Dif EQ, yay.
I have to solve the following Dif EQ, and give the interval for which the largest general solution is defined:
dP/dt + 2tP = P + 4t - 2
So I don't think I can do separation of variables... | 5 | [
-0.00335693359375,
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0.... | 3,283 | 3283 | |
Re
View Post [edit]
Poster: Bassy Twang Date: Jan 28, 2009 10:21am
Forum: GratefulDead Subject: Re: Hey Tell, do you tutor math?
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how... | 4 | [
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Finding the variable by differentiating
October 19th 2011, 01:04 AM
maay
Finding the variable by differentiating
Heys, does anyone know how to perform this question to check if I did mt working out correctly? The question is ...
Consider the flow of air past an ideal turbine with a swept area of A.
The... | 5 | [
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Differentiate by definition - please help
April 17th 2013, 05:41 PM #1
Newbie
Joined
Mar 2013
From
USA
Posts
8
Differentiate by definition - please help
Can someone confirm I have done this correctly?
Y = 3x^4 + 2x^3 + 4x at P (x, y), let Q (X + Δx, y+Δy)
lim(Δx->0)
3(x+Δx)^4 + 2(x+Δx)^3... | 4 | [
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... | 3,286 | 3286 | |
self-complementary graph
September 19th 2006, 08:05 PM
jaidon
self-complementary graph
A simple graph G is self-complimentary. Show there exists an integer k such that the order of G = 4k or 4k+1.
I'm feeling a tad lost on this. I understand the idea of self-complimentary. G and its compliment will be isomo... | 5 | [
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he O
Chapter 4 - Reply From the Observatory of Cambridge
Barbicane, however, lost not one moment amid all the enthusiasm of which he had become the object. His first care was to reassemble his colleagues in the board-room of the Gun Club. There, after
some discussion, it was agreed to consult the astronomers regarding... | 5 | [
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KVR Forum: What is the principle behind zero delay feedback filters? (Topic in the 'DSP and Plug-in Development' forum)
KVRist
197 posts since 26 May, 2013, from Lausanne (Switzerland)
Hi,
I wonder what is the principle behind zero delay feedback filters?
Thanks!
KVRian
608 posts since 9 Jan, 2006
... | 4 | [
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Physics307L:People/Harriger/Formal/Rough Draft
From OpenWetWare
class notes:
• cite and rewrite-but don't copy
• figures: must be numbered and have good captions, and be bold when in text (tables and graphs too)
• graphs don't have to be figures (Steve Koch 20:52, 29 November 2010 (EST):I'm not sure what I sai... | 4 | [
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more inverse trigonometric functions
October 30th 2009, 05:06 AM
iiharthero
more inverse trigonometric functions
a) show that tan-1 (4) - tan-1(3/5) =pi/4
b) tan-1(5/12)+cos-1(5/13)=pi/2
okayy i dont understand inverse trig. i draw the diagrams and i input it into my calculator but they are never exact v... | 4 | [
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Deivative by first principle.
September 12th 2008, 11:56 AM #1
Newbie
Joined
Sep 2008
Posts
13
Deivative by first principle.
I am not able to find the derivative of the following function by first principle. I need the entire procedure of the first principle. Thanx in advance.
f(x)= x^2.cosx
La... | 5 | [
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Finding the area of a cardioid
February 12th 2007, 03:23 PM #1
Member
Joined
Jun 2006
Posts
93
Finding the area of a cardioid
The problem states that S is the region inside the cardioid r = 6 - 6sin(theta)
It says we are to solve the problem by calculating Double integral r dr dtheta
I'm fairly... | 4 | [
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[SOLVED] Integrating by parts with a double integral
April 21st 2010, 08:01 PM #1
Newbie
Joined
Apr 2010
Posts
13
[SOLVED] Integrating by parts with a double integral
So I have this double integral...
xsin(x+y)dA
I decided to integrate in respect to dydx....
∫∫xsin(x+y)dydx
the inn... | 4 | [
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Math Help
August 27th 2009, 07:35 AM #1
Senior Member
Joined
Jan 2009
Posts
381
polynomial
Given that $3+\sqrt{2}$ and 2-i are the roots of the equation f(x)=0 . If the degree of f is 4 and f(1)=8 . Find the polynomial f(x)
Hi
I suppose that f(x) is a polynomial with integer coefficients
T... | 4 | [
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Limit of A Sequence
November 15th 2009, 10:11 PM #1
Member
Joined
Nov 2009
Posts
186
Limit of A Sequence
I am having trouble grasping the concept of a limit in terms of sequences as I am trying to learn sequences/series. I feel this is an important concept to be grasped but the definition of the
limi... | 5 | [
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Integer-valued polynomial
December 6th 2009, 11:36 PM #1
Integer-valued polynomial
I came across this problem when I was going through Yahoo answers.
Show that the values of the polynomial $f(n)=1+n+n^2$ have no prime factors of the form $5 \pmod{6}$ for any $n\in \mathbb{Z}$.
straightforward: suppose t... | 5 | [
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Please help me (solve trigonometry equation)
November 21st 2006, 08:28 PM #1
Ccrow
Guest
Please help me (solve trigonometry equation)
Code:
Find all solutions of
2 cos(3x)^2 + sin(3x)
I can simplify it all the way down to cos(6x) + sin(3x) = 0, however I get stuck here
I don't believe your expr... | 4 | [
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Math
Demonstration of Math Applets
Instructions and a detailed help menu are provided with each applet. This demonstration module illustrates the use of the two of them: the Java Math Pad Applet and the Plot-Solve Applet.
Java Math Pad Applet
This applet allows the user to evaluate mathematical expressions. A math... | 4 | [
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