content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Factoring Formulas
This is certainly equal to the original formula but I would not consider it "factoring". I agree with MarkFL. Since the equation $x^2+ 49= 0$ has no real roots, $x^2+ 49$ pr $x^2= -49$ cannot be
factored using real coefficients. But it can be factored as $(x- 7i)(x+ 7i)$ since, if $x^2= -49$, then $x... | 4 | [
0.00408935546875,
0.04833984375,
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0.1484375,
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0.045166015625,
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0.12890625,
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0.162109375,
0.043701171875,
-0.07763671875,
-0.0159912109375,
0.06494140625... | 35,100 | 35100 | |
Space of boundary modular symbols
Used mainly for computing the cuspidal subspace of modular symbols. The space of boundary symbols of sign 0 is isomorphic as a Hecke module to the dual of the space of Eisenstein series, but this
does not give a useful method of computing Eisenstein series, since there is no easy way ... | 5 | [
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-0.01416015625,
0.02124023437... | 35,101 | 35101 | |
Interesting sum of series
March 20th 2009, 08:21 AM #1
Newbie
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Mar 2009
Posts
2
Interesting sum of series
Hi,
I'm an engineer and recently, within my work on non uniform signal sampling, I encountered the following series :
$S(t)=\sum _{n=1}^{+\infty }{\frac{1}{\sigma \sqrt{2\pi n}}}\cdot... | 5 | [
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0.12158203125,
-0.08496093... | 35,102 | 35102 | |
Inequalities Question
If $a,b,c$ are positive real numbers prove that $\Bigl[ (1+a)(1+b)(1+c) \Bigr]^{7}>7^{7} a^{4}b^{4}c^{4}$
Use AM $\geq$ GM . $a^7 + b^7 + c^7 + (ab)^7 + (ac)^7 + (bc)^7 + (abc)^7 \geq 7 (abc)^4$ Replace a,b,c by $a^{\frac{1}{7}}, b^{\frac{1}{7}}, c^{\frac{1}{7}}$ it becomes : $a + b + c + ab + ac... | 5 | [
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0.... | 35,103 | 35103 | |
Mathematical Induction problem
April 6th 2011, 07:31 AM #1
Member
Joined
Sep 2009
Posts
149
Mathematical Induction problem
problem #14 on here:
This is what ive done so far:
1.) prove that the 2 equations are equal by testing P(n) at 0. They are, so i proceed to the inductive step and rewrite ... | 5 | [
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Graphing square root functions
April 28th 2013, 04:51 PM
Unreal
Graphing square root functions
Hi!
I can tell the domain from the graph of these functions but how do I tell the range from their graphs?
$h(x) = -\sqrt{x + 2}$ and $f(x) = \sqrt{2 - x} - 1$
I can find the domain easily: $h(x) = x + 2 ... | 4 | [
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-0.01416015625,
-0.009338378906... | 35,105 | 35105 | |
Math Help
April 13th 2008, 07:59 PM #1
Member
Joined
Sep 2006
Posts
221
Sets
Given $A$ is a set with 6 elements,
a.) Determine the number of relations on $A$ there are
b.) Determine the number of symmetric relations on $A$ there are
c.) Determine the number of reflexive relations on $A$ t... | 4 | [
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... | 35,106 | 35106 | |
Polar coordinates
January 27th 2008, 01:49 AM #1
Member
Joined
Sep 2007
Posts
198
Polar coordinates
The polar equation of a curve C is r^2 = 2 sin 2Ѳ.
(a) Find a Cartesian equation for C.
(b) Show that C could be represented parametrically by the equations
x =(2t)/(1 + t^4), y = (2t^3)/(1+t^... | 5 | [
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Proposition 36
If two rational straight lines commensurable in square only are added together, then the whole is irrational; let it be called binomial.
Let two rational straight lines AB and BC commensurable in square only be added together.
I say that the whole AC is irrational.
Since AB is incommensurable in leng... | 5 | [
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Brazilian Journal of Physics
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Print version ISSN 0103-9733
Braz. J. Phys. vol.31 no.4 São Paulo Dec. 2001
http://dx.doi.org/10.1590/S0103-97332001000400008
Thermodynamics of the limiting cases... | 4 | [
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Brazilian Journal of Physics
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Print version ISSN 0103-9733
Braz. J. Phys. vol.37 no.1a São Paulo Mar. 2007
http://dx.doi.org/10.1590/S0103-97332007000100010
Cold and dense perturbative Yukawa theory with massive fermions
L. F. Palhares; E. S. Fraga
Ins... | 4 | [
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0.03417... | 35,110 | 35110 | |
Function of an area problem
September 20th 2009, 12:31 PM #1
Newbie
Joined
Sep 2009
Posts
11
Function of an area problem
Given 1200 meters of fencing, a farmer needs to enclose three sides of a field (with the other side being a river).
Write a function finding the area (A) in terms of the width (x)... | 4 | [
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Lever Rule For Computation Of Live Load Distribution Factors In CONSPAN [TN]
Comments: 1
Document Information
Document Type: TechNote
Product(s): LEAP CONSPAN
Version(s): All
Original Author: Bentley Technical Support Group
EXAMPLE 1: COMPUTATION OF LEVER RULE FOR EXTERIOR BEAM
The distribution f... | 4 | [
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Even Number Proof
Prove all even perfect numbers will end in 6 or 8.
Since it is even we can write, by Euler, n=2^{k-1}*(2^k-1) ---> Note k must be a prime. Trivial for k=2. Assume k>2. Divide the proof into two cases. Case I If k=4j+1 then just by working modulo 10
you find that n = 6 (mod 10). Case II If k=4j+3 then... | 4 | [
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IMU-Based Online Kinematic Calibration of Robot Manipulator
The Scientific World Journal
Volume 2013 (2013), Article ID 139738, 10 pages
http://dx.doi.org/10.1155/2013/139738
Research Article
IMU-Based Online Kinematic Calibration of Robot Manipulator
School of Computer Science & Engineering, South China University ... | 4 | [
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painted cubes
07-30-2009 10:45 AM #2
Posts
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Thanked 0 Times in 0 Posts
07-30-2009 09:45 AM #1
Posts
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painted cubes
How many different ways can 3 cubes be painted if each cube is painted one color and only the 3 colors red, blue, and gree... | 4 | [
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Lessons In Electric Circuits -- Volume II
Lessons In Electric Circuits -- Volume II
Chapter 8
FILTERS
It is sometimes desirable to have circuits capable of selectively filtering one frequency or range of frequencies out of a mix of different frequencies in a circuit. A circuit designed to perform
this frequency... | 5 | [
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triangle proof
March 9th 2009, 10:22 PM #1
Newbie
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Mar 2009
Posts
9
triangle proof
you have an isosceles triangle whose angle is x and the two equal sides are s. show that the area of the triangle is given by A=1/2 s^2 sinx.
I got 1/2 s sinx but i cant get s^2 can someone help? i greatly appre... | 4 | [
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... | 35,117 | 35117 | |
tetrahedron die probability
January 17th 2010, 01:45 AM #1
Senior Member
Joined
Jan 2009
Posts
381
tetrahedron die probability
A fair tetrahedron die has four faces , each with digit 1,2,3,4 . THe die is tossed three times. The sum of three visible surfaces is recorded as T at each toss . The events A , ... | 5 | [
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questions in physics help
December 11th 2010, 09:10 AM #1
Senior Member
Joined
Oct 2009
Posts
290
questions in physics help
1 What is the relation between the main current which flows from the source and the current in each resistor in series ?
The current is same for each resistor in series
2... | 4 | [
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0.0095214843... | 35,119 | 35119 | |
Qestion in set theory
December 17th 2008, 02:26 AM
John G
Qestion in set theory
L is the set of cofinite subsets of N (i'm not sure if i understand the concept of cofinite sets).
I need to prove that L is countable. How do i prove this? What to do?
Thanks for any kind of help :-)
December 17th 2008, 12... | 5 | [
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Periodic Function
October 29th 2006, 01:21 AM
needmathshelp
Periodic Function
Hey can anyone help me with this Q
Mr Johnston is a very keen fisherman who will go fishing at any time of the day or night. He requires 1.5 metres of water at the boat ramp (ie. 1.5 m above the mean sea level) to launch his boat
... | 5 | [
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0.00... | 35,121 | 35121 | |
Homework Help
Posted by Ravinder on Monday, November 12, 2012 at 11:31pm.
Suppose we pump water into an inverted right-circular cone tank at the rate of 6 cubic feet per minute. The tank has the height 9 ft and radius on the top is 8 ft. What is the rate at which the water
level is rising when the water is 3 ft deep? ... | 5 | [
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th
Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.
Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable te... | 4 | [
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0... | 35,123 | 35123 | |
Revista de Saúde Pública
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Print version ISSN 0034-8910
Rev. Saúde Pública vol.37 no.4 São Paulo Aug. 2003
http://dx.doi.org/10.1590/S0034-89102003000400013
... | 4 | [
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... | 35,124 | 35124 | |
Answer check (Vector space)
April 4th 2009, 01:11 AM #1
Senior Member
Joined
Jul 2006
Posts
364
Answer check (Vector space)
Hi, can someone just check my answer, please?
Question:
Two subspaces S and T of $P_2(\mathbb{R})$ are given by
$S = \lbrace f(x) ~| ~3f(0)+f'(0) = 0 \rbrace$
$T =... | 4 | [
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-0.06079... | 35,125 | 35125 | |
finding the vaule of a raised power
May 20th 2012, 09:26 AM
davellew69
finding the vaule of a raised power
I have the following
12.0*1.08^x =25.0
I need to find the value of x but Im lost on how its done.
Dave
May 20th 2012, 09:45 AM
earboth
Re: finding the vaule of a raised power
Quote:
... | 4 | [
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-0.0922851562... | 35,126 | 35126 | |
Equation - Changing the subject
May 14th 2011, 08:51 PM
GamerMath
Equation - Changing the subject
Hi,
I'm working through a game graphics book (and I've been learning the math from scratch) and every now and again the author shoves in a bunch of equations and simplifies them, or changes their
subject wi... | 4 | [
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0.05322265625,
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0.0439453125,
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0.00628662109375,
-0.... | 35,127 | 35127 | |
C Program to find multiplication of complex numbers
Multiply complex numbers:
Given two complex numbers 2 + 3i , & 3 + i The result of multiplication is
(2 + 3i) (3 + i )= 6 + 2i + 9i + 3i2
since i2 = -1
=> 6 + 11i - 3 =3 + 11i
Write a C program to multiply two complex numbers
Write a C program to find mult... | 4 | [
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For any quadrilateral the lines containing the diagonals always intersect
October 9th 2010, 12:28 PM #1
For any quadrilateral the lines containing the diagonals always intersect
Please let me know if the following proof is solid or if it contains errors. Thanks.
Show that for any quadrilateral (convex or not... | 4 | [
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Calculus..Need Help Soon
Posted by Leanna on Sunday, September 12, 2010 at 10:09pm.
If f(x)=1-x^3 and f^-1 is the inverse of f, how many solutions does the equation f(x)=f^-1(x) have?
a)none b)one c)three d)five e)six
• Calculus..Need Help Soon - MathMate, Sunday, September 12, 2010 at 11:30pm
Work out the in... | 5 | [
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... | 35,130 | 35130 | |
Inventory Management Review
Recent Comments
In previous articles I've referenced the Economic Order Quantity (EOQ). This article is going to be the first of a few articles detailing various aspects of EOQ. This first post will discuss the
basics and go step-by-step through an example of how to use EOQ when trying to d... | 5 | [
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... | 35,131 | 35131 | |
Am I more likely to roll at least one six if I have more dice?
May 28th 2011, 05:31 PM #1
Newbie
Joined
May 2011
Posts
3
Am I more likely to roll at least one six if I have more dice?
Hi,
I've had a debate with some friends, about whether I'm more likely to roll at least a single 6 when I have 1000 ... | 4 | [
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-0.08154296875,
... | 35,132 | 35132 | |
Trigonometric Identity Problem
How do you show that: 2sinxcosx= (4tan{x/2})/(1+tan2{x/2}) . (1-tan2{x/2})/(1+tan2{x/2}) Thanks a lot for helping!!
$1+\tan^2(\frac x 2) = \sec^2(\frac x 2)$ $1-\tan^2(\frac x 2) = \dfrac{2 \tan(\frac x 2)}{\tan(x)}$ $\sin(2x)=2\sin(x)\cos(x)$ ------------------------- $\dfrac{4 \tan(\fr... | 5 | [
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0.... | 35,133 | 35133 | |
Gravitational Law
May 5th 2009, 04:49 AM #1
Junior Member
Joined
Nov 2008
Posts
68
An object is fired vertically upwards from the surface of a planetary body; it moves under the action of Newton’s Gravitational Law, without
resistance, so the equation is z'' = -gR^2 / (z + R)^2 . Find the relation bet... | 5 | [
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0... | 35,134 | 35134 | |
Linear and Circular Parametric Equations
Date: 05/05/98 at 01:06:28
From: Adrian Preston
Subject: To calculate a parametric line segment from 2 arbitrary
points.
I'm an amateur computer programmer who is home schooling. I'm trying
to figure out how I can write a computer program to plot a line
segment between (x1,y1... | 4 | [
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Subrings of Algebraic Extentions
March 14th 2012, 08:57 AM
leshields
Subrings of Algebraic Extentions
Let $L:K$ be an algebraic extension. Suppose that $R$ is a subring of $L$that contains $K$. Show that $R$ is a field. Give an example to show that the algebraic restriction is necessary.
Take an $r\in R, r ... | 5 | [
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0.013977050... | 35,136 | 35136 | |
Number of metric spaces on N points
up vote 13 down vote favorite
8
Given $X = \{x_1, ..., x_n\}$, how many collections $C$ of subsets of $X$ are there such that $C$ is the listing of all open balls of some metric space?
The first nontrivial example is $n=3$; let's call the points $x, y$ and $z$. Also, let $a = d(x, ... | 5 | [
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how to handle fraction + integral?
March 6th 2013, 08:31 AM #1
Member
Joined
Sep 2011
Posts
75
how to handle fraction + integral?
The equation from my book: (25.4)
integral u^n du = u^(n+1) / (n + 1) + c
says in the book its a confusing equation to boot. Can I get an explanation on this quiz qu... | 5 | [
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0.... | 35,138 | 35138 | |
Math Forum Discussions
achille
Posts: 575
Registered: 2/10/09
Re: Probability Pill
Posted: Dec 31, 2012 7:16 AM
On Thursday, December 27, 2012 5:39:14 PM UTC+8, William Elliot wrote:
> Each day I take 1/2 an aspirin tablet. I bought a bottle of 100 tablets;
>
> each day I take out one, if it's whole I break it half a... | 5 | [
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0.0047607421875,
-0... | 35,139 | 35139 | |
Cube roots
Date: 05/30/97 at 09:34:01
From: Elena
Subject: Cube roots
Dear Dr. Math,
How can I can figure out the cube root of a number? (i.e., that the
cube root of 216 is 6).
Thank you for helping me!
Elena
Date: 05/31/97 at 08:30:28
From: Doctor Jerry
Subject: Re: Cube roots
Hi Elena,
There isn't a "test"... | 4 | [
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0.... | 35,140 | 35140 | |
Complexity of Algorithm
June 21st 2008, 08:04 AM
sjenkins
Complexity of Algorithm
Can someone please help me with a formula I can use to calculate the complexity of an algorithm?
For example, How large a problem can be solved in 1 second using an algorithm that requires f(n) bit operations, where each bit o... | 5 | [
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... | 35,141 | 35141 | |
Double Root of a Polynomial
May 23rd 2010, 04:43 AM
Lukybear
Double Root of a Polynomial
If x^3 + 3px^2 + 3qx + r = 0 has a double root, show that the double root must be (pq-r)/(2q-2p^2)
May 23rd 2010, 05:02 AM
Dinkydoe
It's not hard to see that it's a root of $f(x)=0$ in the first place.
Now you're... | 5 | [
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0.01312255859375,
-0.075683... | 35,142 | 35142 | |
Math Forum Discussions
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Topic: What is pi_0?
Replies: 2 Last Post: Jan 20, 2013 3... | 4 | [
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-0.03564453125,
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Is is preferable to use a difference formula of higher order of accuracy for spatial derivatives to solve this IVP problem ?
up vote 2 down vote favorite
I want to numerically integrate the equation $\partial_t u= a(t) \partial_xu+b\partial_{xxx}u+c$ to get $u(t)$. Is is preferable to use a difference formula of highe... | 5 | [
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0.0219726... | 35,144 | 35144 | |
discrete math.proof.set theory.
Theorem: A\(BUC)=(A\B)intersection(A\C) How to proof ?Any ideas would be useful. Thanks, Sasha
A\(BUC) = (A\B) ∩ (A\C) PROOF: x are A\(BUC) => (x aren’t (A)) and (x are (BUC)) => (x aren’t (AUA)) and (x are (BUC)) => (x aren’t (A)) or (x are (B∩C)) => ((x aren’t A) or (x are B)) and ((x... | 4 | [
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... | 35,145 | 35145 | |
marginal variance of discrete joint distribution
August 14th 2013, 12:30 AM #1
Senior Member
Joined
Oct 2009
Posts
295
Thanks
9
marginal variance of discrete joint distribution
$\\\text{Given }Pr(X=i,\text{ }Y=j)=\frac{i+j-1}{8}\text{ for }i=1,\text{ }2\text{ and }j=1,\text{ }2.\\\\\text{Find }Var[Y]... | 5 | [
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-0.00411... | 35,146 | 35146 | |
Expected distance between two random vectors in n-dimensional space
February 14th 2013, 02:35 AM
Mathsdog
Expected distance between two random vectors in n-dimensional space
Hi, Any help with this appreciated.
If I have two column vectors $\mathbf{a}$ and $\mathbf{b}$, where the $n$ elements of each are dra... | 5 | [
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0.048828125,
-0.06... | 35,147 | 35147 | |
Finding the expected value of r^X
October 12th 2011, 09:30 PM #1
Newbie
Joined
Mar 2009
Posts
1
Finding the expected value of r^X
Hello, I have recently enrolled in a 3rd year Introductory Probability course.
I'm having a pretty tough time with the course so I came to this forum again to seek some gu... | 5 | [
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0.001... | 35,148 | 35148 | |
define radi of convergence and give example
1) Let $\{ a_n\}$ be be complex sequence. Say $wot = 0$ is such that $\{ |a_nw^n| : n\geq 0\}$ is bounded. Let $A$ be an upper bound, so, $|a_nw^n| < A$ for all $n\geq 0$. Let $|z| < |w|$. Note, $|
a_nz^n| \leq |a_nw^n| \cdot |\tfrac{z}{w} |^n < A \left| \tfrac{z}{w} \right|^... | 4 | [
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One logarithm question
November 15th 2008, 06:00 AM
BG5965
One logarithm question*EDITED
Hi, I am having problem with one difficult looking logarithm. Please help me!
$<br /> 3log_2 \frac{9}{8} + 4*log_2 \frac{16}{15} - 2 log_2 \frac{24}{25}<br />$
Thanks! Please show your working -
*EDIT: This is ... | 4 | [
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A couple induction set proofs
February 17th 2009, 09:10 PM
noles2188
A couple induction set proofs
Prove the following statements
1) Prove: There is just one minimal induction set.
I know that there cannot be two minimal induction sets, but this says there does not exit zero minimal induction sets. I'm... | 5 | [
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-0.01336669921875,
-0.023... | 35,151 | 35151 | |
Matrix Operations
February 17th 2010, 06:23 PM
Sprintz
Matrix Operations
Hi all; I have two quick Linear Algebra questions that I am struggling with. I think they are connected.
#1) Suppose CA = I(sub)n (the n * n identity matrix). Show that the equation Ax = 0 has only the trivial solution. Explain why A c... | 5 | [
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0.00... | 35,152 | 35152 | |
Polynomial Functions-Factoring
June 17th 2008, 09:04 PM #1
Newbie
Joined
Jun 2008
Posts
1
Polynomial Functions-Factoring
Im having trouble with this problem in particular involving a complex trinomial
6x^2y^3 - 18x^3y^2 + 21x^2y
i know i need to divide them all by 3x^2y but what are my steps af... | 4 | [
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0.01428222656... | 35,153 | 35153 | |
Need help with these convergence Tests?
November 28th 2010, 06:35 PM
Playthious
Need help with these convergence Tests?
Do these converge absolutely, conditionally, or diverge?
sigma from n = 1 to infinity of (n + 1)^2 / n!
sigma from n = 1 to infinity of (1/ (arctan(n))^(2n)
explain please!
Nove... | 5 | [
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0.06787109375,
-0.10595703125,
-0.04833984375,
0.0712890625,
-0.0... | 35,154 | 35154 | |
Cost-Benefit Analysis
CBA 100401
Discounting, Inflation, and the Social
Discount Rate
Guide to readings
• Most material in Chapter 6 in text is straightforward and just
make sure you know it. I will just review some important
po... | 5 | [
-0.0101318359375,
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0.0169677734375,
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0.00555419921875,
-0.... | 35,155 | 35155 | |
Finding the equation of a circle given it pases through the 4 vertices of a pyramid?
December 24th 2010, 07:34 AM #1
Junior Member
Joined
Nov 2009
Posts
60
Finding the equation of a circle given it pases through the 4 vertices of a pyramid?
In 3D Euclidian Vector geometry, if given the 4 vertices of a (T... | 4 | [
0.01513671875,
0.045166015625,
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0.0201416015625,
-0.0361328125,
0.0... | 35,156 | 35156 | |
Limit Questions
January 17th 2010, 02:03 PM #1
Newbie
Joined
Jan 2010
Posts
20
Limit Questions
Any help would be wonderful, please work out the answers too, I'm just learning!
lim
x→ 2
x^2−4x+4 / x^2+x−6
lim
x→ 0
x / |x|
lim
x→ 1
x^3−1 / x−1
lim
... | 4 | [
0.00994873046875,
0.000644683837890625,
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0.042724609375,
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0.11083984375,
-0.04296875,
-0.032958984375,
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-0.03564453125,
0.030517578125,
0.0037231445... | 35,157 | 35157 | |
Trig help.
October 1st 2007, 11:21 AM #1
Junior Member
Joined
Mar 2007
Posts
36
Trig help.
I need help on these questions please.
1. given that sin^2 x + cos^2 x = 1 show that 1+cot^2 x = cosec^2 x
2. Solve for values x in the interval -pi<x<pi for the following in 2 decimal places:
a. 2co... | 4 | [
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0.0034027099609375,
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-0.02783203125,
0.051513671875,
-0.019... | 35,158 | 35158 | |
Problem - Finite Abelian Group - Order of each element is = 2
September 5th 2009, 11:49 PM #1
Super Member
Joined
Apr 2009
Posts
677
Problem - Finite Abelian Group - Order of each element is = 2
Problem: G = {a1,a2,a3,..,an} is a finite abelian group where order of each element (except of identity of-cou... | 5 | [
-0.01055908203125,
0.017822265625,
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0.00152587890625,
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0.034423828125,
... | 35,159 | 35159 | |
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Topic: well-ordering the reals
Replies: 2 Last Post: Jan ... | 4 | [
-0.130859375,
-0.0107421875,
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0.0311279296875,
0.003082275390625,
-0.043212890625,
0.045166015625,
-0.0095... | 35,160 | 35160 | |
Matrix of a Nilpotent Operator Proof
March 27th 2011, 02:40 PM #1
Junior Member
Joined
Apr 2010
Posts
50
Matrix of a Nilpotent Operator Proof
I'm trying to understand this one proof about the matrix of a nilpotent operator and I'm stuck on this one part. Here is the theorem I'm trying to prove and how th... | 4 | [
-0.040283203125,
0.0693359375,
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0.040771484375,
-0.01287841796875,
... | 35,161 | 35161 | |
On intermediate transitive models for ZFC between M an M[G]
up vote 5 down vote favorite
1
Let $P$ be a forcing notion. Let $B(P)$ be the boolean completion of $P$ and $i : P \rightarrow B(P)$ be the corresponding dense embedding (in $B(P)^{+}$). Let $G$ be $B(P)$-generic over $M$, the
transitive ground model satisfyi... | 4 | [
0.039306640625,
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0.03173828125,
0.040283203125,
0.0211181640625,
0.019287109375,
0.0771484375,
0.134765625,
0.02160644... | 35,162 | 35162 | |
Is this a textbook error or...
June 1st 2007, 04:42 AM
david18
Is this a textbook error or...
I'm currently going through some questions in my textbook and came across a question on a quadratic and linear simultaneous equation.
Solve the equation:
x + y = 1
x^2 + y^2 = 16
I am not interested in... | 4 | [
-0.043212890625,
0.0927734375,
0.05322265625,
0.03076171875,
0.05712890625,
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0.06982421875,
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0.0791015625,
-0.00341796875,
-0.0859375... | 35,163 | 35163 | |
Conditional Probability Problem
August 30th 2008, 03:13 AM
ban26ana
Conditional Probability Problem
Problem: Balls are drawn (one at a time) from an urn containing M balls numbered from 1 to M. The ball is kept if it is numbered 1, and returned to the urn otherwise. What is the probability that
the second ba... | 5 | [
0.0242919921875,
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0.05224609375,
0.0159912109375,
0.006561279296875,
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0.0245361328125,
0.0185546875,
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0.03076171875,
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0.08349609375,
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0... | 35,164 | 35164 | |
Prove the quadratic equation
Word Problem Answers (8,113)
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Pre-Algebra Answers (11,116)
A quadratic equation in the standard form is given by
ax 2 + bx + c = 0
... | 4 | [
-0.076171875,
0.019775390625,
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-0.01495361328125,
0.0247802734375,
-0.0... | 35,165 | 35165 | |
[SOLVED] Trigonometric integration by substitution
July 2nd 2008, 07:36 PM
redman223
[SOLVED] Trigonometric integration by substitution
$\int \frac {1-tanx^2}{secx^2} ~dx$
I figure you have to break it up first:
$\int cosx^2 ~dx - \int \frac {tanx^2}{secx^2} ~dx$
But from here, I am somewhat stuck... | 5 | [
0.0247802734375,
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0.040283203125,
0.021240234375,
-0.0135498046875,
0.091796875,
0.03637... | 35,166 | 35166 | |
Vector Plane Problem
May 23rd 2010, 03:34 AM #1
Newbie
Joined
May 2010
Posts
7
Vector Plane Problem
This question has stumped me, it is the only question like this in my textbook and i can't figure out how to solve this, i'm not the best at maths so any help people could give me would be great!
The ... | 5 | [
0.01123046875,
-0.00665283203125,
-0.03173828125,
-0.0244140625,
0.034423828125,
0.023681640625,
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0.091796875,
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-0.027587890625,
0.03125,
-0.0341796875,
0.005279541015625,
... | 35,167 | 35167 | |
Recommendations for binomial system solver
up vote 1 down vote favorite
I am interested in solving binomial systems of the form $$ \begin{cases} a_1 x_1^{d_{11}} x_2^{d_{12}} \cdots x_n^{d_{1n}} + b_1 x_1^{d_{11}} x_2^{d_{12}} \cdots x_n^{d_{1n}} &= 0 \\\\ \vdots &\vdots
\\\\ a_m x_1^{d_{m1}} x_2^{d_{m2}} \cdots x_n^{... | 4 | [
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0.043701171875,
0.05419921875,
0.16015625,
0.0234375,
0.05615234375,... | 35,168 | 35168 | |
Another proof
July 5th 2006, 04:04 PM #1
Junior Member
Joined
Jun 2006
Posts
53
Another proof
I have to Prove (a+b)^2 + (b+c)^2 + (c+a)^2 >= 4(ab + bc + ac)
I multiplied out both sides and then move everything to the left, but I don't know what I should do after that.
Nichelle14
I have to P... | 4 | [
-0.056884765625,
0.07470703125,
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0.0595703125,
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0.067... | 35,169 | 35169 | |
Measuring the Wattage of the Sun and
Labs from Chicago, Summer 1993 :
Measuring the Wattage of the Sun and a "Standard Candle."
Dr. Jim Sweitzer
Labs written for the CARA Space Explorers, Summer 1993
This is meant to be handed out to the students.
Introduction
By now you should now know quite a bit about light and... | 4 | [
0.0228271484375,
0.099609375,
0.0035858154296875,
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0.04345703125,
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0.0174560546875,
0.01092529296875,
-... | 35,170 | 35170 | |
topology on the automorphism group of a C* algebra
up vote 8 down vote favorite
Let $A$ be a $C^*$-algebra. The group $Aut(A)$ of $\ast$-automorphisms of $A$ is usually equipped either with the pointwise norm topology, i.e. the topology generated by the semi-norms $\lVert \
varphi \rVert_a = \lVert \varphi(a) \rVert$ ... | 5 | [
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0.03564453125,
0.0098876953125,
0.033935546875,
-0.0155029296875,
-0.04541015625,
-0.010559082... | 35,171 | 35171 | |
greatest acceleration
October 2nd 2006, 12:16 PM #1
Member
Joined
Sep 2005
Posts
136
greatest acceleration
A disc, a sphere and a thin-walled tube are placed on an incline and roll down without slip. Which will acquire the greatest acceleration? Does the answer depend on the object having the same
di... | 4 | [
0.0211181640625,
0.022216796875,
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0.035400390625,
0.00180816650390625,
0.03515625,
0.0084228515625,
0.1162109375,
-0.0... | 35,172 | 35172 | |
Summations of n^(-2k)
Date: 09/10/2000 at 00:37:43
From: Mark Rosel
Subject: Summations: What are sigma(n^-2) and sigma(n^-4)
I am trying to find out what the following are:
sigma(n^-2)
sigma(n^-4)
sigma(n^-[2k])
sigma(n^-[2k+1])
where k is an integer and all are summations from 1 to infinity.
... | 5 | [
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0.03662109375,
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0.0947265625,
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0.0283203125,
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0.0712890625,
0.0272216796875,
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0.0203857421875,
-0.0267333984375,
-0.1357421875,
0.00640869140625,
0.07861328125,
-0.01... | 35,173 | 35173 | |
Equ. of normal
April 17th 2006, 11:16 AM #1
Could you check this question to see if I have done it right:
Question: Find the equation of the normal to the curve y=x+ 4/x at the point p where x=4. If the normal meets the curve agian at N, find the co-ordinates of N.
This is what I have done:
y= x+4x^-... | 4 | [
0.01202392578125,
-0.00762939453125,
0.032470703125,
-0.032958984375,
-0.0240478515625,
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-0.007720947265625,
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0.00927734375,
-0.01422119140625,
0.03369140... | 35,174 | 35174 | |
Property value estimation for inhaled therapeutic binary gas mixtures: He, Xe, N2O, and N2 with O2
Abstract
Background
The property values of therapeutic gas mixtures are important in designing devices, defining delivery parameters, and in understanding the therapeutic effects. In the medical related literature the
v... | 4 | [
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0.0291748046875,
0.0016021728515625,
0.11328125,
0.015563964... | 35,175 | 35175 | |
Maximal class of simple graphs of order $n$ with mutually distinct numbers of spanning trees
up vote 8 down vote favorite
4
This problem in some ways related to this post.
Let $A_n$ be the set of all integers $x$ such that there exist a connected simple graph of order $n$ having precisely $x$ spanning trees. Stud... | 4 | [
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0.09619140625,
0.0291748046875,
-0.033447265625,
-0.04736328125,
0.0311279296875,
-0.004913330078125,... | 35,176 | 35176 | |
Inverse of a totally unimodular matrix
up vote 6 down vote favorite
A unimodular matrix $M$ is a square integer matrix having determinant $+1$ or $−1$. A totally unimodular matrix (TU matrix) is a matrix for which every square non-singular submatrix is unimodular. A
totally unimodular matrix need not be square itself.... | 5 | [
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-0.0810546875,
0.043212890625,
0.0771484375,
0.0603027343... | 35,177 | 35177 | |
Why do primes dislike dividing the sum of all the preceding primes?
up vote 22 down vote favorite
3
I was investigating primes with the property that the sum of the first $n$ primes is divisible by $p_n$. It turns out that these primes are extremely extremely rare. For primes less than $10^9$, I
have found that there ... | 4 | [
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0.00946044921875,
0.01953125,
-0.12890625,
0.02197265625,
-0.05615234375,... | 35,178 | 35178 | |
derivative problem
October 7th 2009, 08:24 AM #1
Member
Joined
Oct 2009
Posts
79
derivative problem
Y(u)=(u^-2+u^-3)(u^5-2u^2), y'=?
My attempt:
=(-2u^-3 + -3u^-4)(u^5 - 2u^2) + (5u^4-4u)(u^-2+u^-3)
=(-2u^2-4u^-1 -3u + 6u^-2) + (5u^2 +5u-4u^-1-4u^-2)
=3u^2 +2u -8u^-1+2u^-2
Where ... | 4 | [
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0.0048828125,
-0.037841796875,
0.04150390625,
-0.051513671875,
-0.07519531... | 35,179 | 35179 | |
small sums of entries in submatrices - strange phenomenon
up vote 1 down vote favorite
Suppose that $x \in \mathbb{R}^{n}$ is a vector of small positive fractions, i.e. $x_{i} \approx \frac{1}{n}$. The exact values are unknown. I form the matrix $M=diag(x)-\frac{xx^{T}}{2}$ which is a
Stieltjes matrix and is diagonall... | 5 | [
0.0159912109375,
-0.012451171875,
-0.04541015625,
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0.025390625,
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0.005523681640625,
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0.01031494140625,
0.029541015625,
-0.06591796875,
-0.0380859375,
0.032958984375,
0.1376953125,
0.02844... | 35,180 | 35180 | |
Slope of 3-Dimensional Equations
Date: 11/12/97 at 21:31:35
From: j.keenan
Subject: Slope of 3-dimensional equations
Is it possible to find the slope of three-dimensional equations?
Date: 11/13/97 at 18:20:49
From: Doctor Tom
Subject: Re: Slope of 3-dimensional equations
I'm not positive what you mean by "three-d... | 4 | [
-0.091796875,
-0.044677734375,
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-0.052734375,
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0.01153564453125,
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0.00714111328125,
-0.01495361328125,
0.0184326171875,
0.02197265625,
0.11279296875,
0.07763671875,
0.0157470703125,
-0.1083984375,
0.... | 35,181 | 35181 | |
When? does the inequality solve
January 1st 2007, 12:15 PM
Freaky-Person
When? does the inequality solve
In what cases would you have to change the inequality sign?
I mean, if you have an equation like,
|x| + |2x-5| < 5
You would have 3 cases right?
So what would the sign (< and >) look like ... | 4 | [
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increasing or decreasing
July 14th 2009, 06:04 PM #1
Junior Member
Joined
Jul 2009
Posts
42
increasing or decreasing
the question is
Let F(a) be the function which gives the area under the graph of y=x*e^-x between x=0 and x=a for a>0
i found F(a) to be (-x*e^-x)-(e^-x)
then evaluated with ... | 5 | [
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0.0135498046875,
-0.... | 35,183 | 35183 | |
taking trig class and forgot how to do this problem.
June 23rd 2010, 07:33 PM #1
Newbie
Joined
Jun 2010
Posts
5
taking trig class and forgot how to do this problem.
haven't taken math in a while and I'm taking a trigonometry class. I believe i learned this in algebra but i can't remember how its done.
... | 4 | [
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... | 35,184 | 35184 | |
completely expand the ln function, then find the derivative
Re: completely expand the ln function, then find the derivative
Expression= lnx-ln(e^xlnx)=lnx-(lne^x+ln(lnx)=lnx-x-ln(lnx)
Derivative=1/x-1-1/(xlnx) (The last term came from 1/lnx times 1/x by the chain rule)
Re: completely expand the ln function,... | 5 | [
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How to classify the algebras C^∞(M)?
up vote 14 down vote favorite
8
This continues my question about smooth Gelfand-duality. In the book
Juan A. Navarro González & Juan B. Sancho de Salas, C^∞-Differentiable Spaces, LNM 1824
it is shown that $M \mapsto C^\infty(M)$ is a fully faithfull contravariant functor fro... | 4 | [
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Simple Probability Problem
October 10th 2008, 09:16 PM #1
Senior Member
Joined
Jul 2008
Posts
347
In a particular town 60% of the population are women. 4% of the men and 1% of the women are taller than 180 cm.
i) What % of the town's population is taller than 180 cm?
ii) If a person is chosen at... | 5 | [
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0.038... | 35,187 | 35187 | |
A Circle Circumscribed about a hexagon
January 12th 2010, 05:30 AM
arenkun
A Circle Circumscribed about a hexagon
i need your help again !
help me to solve this...please :)
God bless you more .(Smile)
*A circle is circumscribed about a hexagon. The area outside the hexagon but inside the circle is ... | 4 | [
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0.011596679... | 35,188 | 35188 | |
Distance Metric Proof
August 17th 2010, 06:57 PM
hoffmann
Distance Metric Proof
Say I have two lists, List1 and List2 containing elements such as words. Some words are common two both List1 and List2. I want to create a distance metric that tells me how far apart the two
lists are based on a similarity "scor... | 4 | [
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-0.04516601562... | 35,189 | 35189 | |
Quadratic Expansion using Binomial Theorem
January 7th 2012, 03:50 AM #1
Newbie
Joined
Jan 2012
Posts
2
Quadratic Expansion using Binomial Theorem
Hi, I am stuck with a question about Binomial Expansion using Binomial Theorem, here is the question:
Find, in ascending powers of x, the first 4 terms i... | 4 | [
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0.024536132812... | 35,190 | 35190 | |
Quick question on conditional expectation
August 25th 2010, 04:07 AM
aman_cc
Quick question on conditional expectation
Let x,y be continous random variables.
Prove that E(E(y|x)) = E(y)
I am sure this is a very basic question but still if someone can provide/guide towards a rigourous proof for the same... | 5 | [
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-0.00164031982421875,
0.00970458... | 35,191 | 35191 | |
Triangle Midpoints and Vertices
Date: 02/23/2003 at 11:54:32
From: Katie
Subject: Geometry
How do you figure out the vertices of a triangle algebraically by
using its three midpoints?
Date: 02/23/2003 at 20:43:30
From: Doctor Greenie
Subject: Re: Geometry
Hi, Katie -
This problem is solved very neatly using this ... | 4 | [
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-... | 35,192 | 35192 | |
premutation
July 6th 2007, 11:57 AM #1
Newbie
Joined
Jun 2007
Posts
10
premutation
Evaluate P(7,3)
what does the p stand for and how do i solve it? the question before it was evaluate 6! (720) so it might be along those lines but is this a typo?
Judging by what your previous question asked, i t... | 4 | [
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Group theory
January 1st 2010, 10:17 PM #1
Super Member
Joined
Dec 2009
From
1111
Posts
872
Thanks
3
Group theory
Hi,
G={1,5,25,125} is a cyclic group under modulo 625. Is this correct?
I had a course on Group theory recently. Based on the answer to the above question I want to know whe... | 5 | [
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OF BIOLOGICAL SYSTEMS INTERACTING WITH FLUIDS
Next: About this document
A GENERAL METHOD FOR THE COMPUTER SIMULATION OF BIOLOGICAL SYSTEMS INTERACTING WITH FLUIDS
Charles S. Peskin a... | 4 | [
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0.... | 35,195 | 35195 | |
Solutions of a exponential diophantine equation involving the $\sigma$ function
up vote 2 down vote favorite
1
As usual $\sigma_k(n)$ denotes the sum of the $k$-th powers of the positive divisors of an integer $n.$ Note that $k$ is also an integer so that it may be negative.
There are no odd perfect numbers known but... | 4 | [
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0.03515625,
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Are the categories of representations of G and C*(G) isomorphic?
up vote 3 down vote favorite
2
Let G be a locally compact Hausdorff group, and C*(G) the full group C* algebra.
I found in some books that "representation theory of both is the same". Can this be expressed as "the categories are equal"?
(Here "represen... | 5 | [
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Topic: Linear System in Mathematica -- Solve returns only... | 4 | [
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0.0203857421875,
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0.0712890625,
-0.0966796875,
-0.08... | 35,198 | 35198 | |
Polynomial coefficient equivalence
August 18th 2011, 08:39 PM
mathnerd15
Polynomial coefficient equivalence
what is the fundamental algebra result that allows you to equate coefficients for 2 polynomials if they have equal values for all values of x?
and how can you replace this expression-
F(x)=A(x-alph... | 4 | [
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... | 35,199 | 35199 |