content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Integration
Use the substitution x = 1/u to find the value of $\int_{\frac{1}{2}}^{2} \frac {lnx}{1+x^2}dx$ Please help me to solve this.
Hi $x=\frac{1}{u} \implies \mathrm{d}x=-\frac{\mathrm{d}u}{u^2}$ Substitute this in the integral, it should give something interesting.
$\displaystyle x=\frac{1}{u}\Rightarrow dx=-... | 5 | [
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0.04541015625,
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0.042236328125,
-0.07421875,
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0.030029296875,
-0.034912109375,... | 9,900 | 9900 | |
Cumulative binomial distribution tables - Mathematics
Cumulative binomial distribution tables
This section is a continuation from the previous
binomial distribution article
. It may be a good idea to go through it before attempting this article. This article explores using tables of the cumulative distribution funct... | 4 | [
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0.0625,
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0.03662109375,
0.06494140625,
0.005767822265625,
-0.01806640625,
0.0299072265625,
-0.0010833740234375,
0.056640625,
0.0206298828125,
0.012939453125,
0.01586914... | 9,901 | 9901 | |
U substitution with integral
December 14th 2011, 01:05 PM
Rstewart
U substitution with integral
Integrate 4 + 2x(1+x^2)^3 dx from x=0 to 1
I tried u substitution with u = 1 + x^2 and du = 2x dx and got 7.75, but the answer in the back of the book says 19. What did I do wrong?
December 14th 2011, 01:13 PM
... | 5 | [
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-0.0108032226562... | 9,902 | 9902 | |
Having trouble separating e^in from the equation
October 14th 2011, 07:53 AM
dexteronline
Having trouble separating e^in from the equation
I am working with the formula that calculates the present value annuity factor given that interest is compounded continuously
PVIFA = [1 - e^-in]/[e^i - 1]
I am not... | 4 | [
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inequality problem
January 2nd 2010, 06:35 PM #1
Member
Joined
Jul 2006
Posts
90
inequality problem
For some dang reason I can't figure out this inequality problem..it's just not working! The solution is $c < -2$ but I keep getting $c > -2$
Problem: $|\frac{4+c} {c}|<1$
(absolute value of the fr... | 4 | [
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0.06787109375... | 9,904 | 9904 | |
spectra of VERY sparse random matrices
up vote 2 down vote favorite
Consider an $n\times n$ random binary matrix $M$ with i.i.d. entries $m_{ij} \sim {\rm Bernoulli}(p)$, where $p = n^{-\beta}$ with $\beta \in (1,2)$. I am interested in the behavior of the singular
value decomposition of $$M = \sum_{i=1}^{rank(M)} \si... | 4 | [
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0.01043701... | 9,905 | 9905 | |
Social Insurance Number
Associated Topics || Dr. Math Home || Search Dr. Math
Social Insurance Number
Date: 7... | 4 | [
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-0.05... | 9,906 | 9906 | |
Gaussian vector, again
January 4th 2010, 02:30 PM #1
Junior Member
Joined
Nov 2009
Posts
57
Gaussian vector, again
Let $(\xi_1,\xi_2,...,\xi_n)$ be a Gaussian vector with zero mean and covariance matrix $B$. What is the distribution of the random variable defined by the conditional expectation $\mathbb{E... | 4 | [
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... | 9,907 | 9907 | |
Integrating Trigonometry
June 24th 2011, 03:09 AM #1
Junior Member
Joined
Oct 2010
From
Johor Bahru
Posts
27
Integrating Trigonometry
I tried doing 2 questions here which I fail to get the answer.
1) ∫ $tan^2 (1-3x) dx$
f(x) = tan(1-3x)
f'(x) = -3 sec^2 (1-3x)
By using the integrat... | 5 | [
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Differential Equations (3 questions)
December 23rd 2008, 02:15 PM #1
Differential Equations (3 questions)
1 Obtain the General Solution of the differential equations:
(i) $x\frac{dy}{dx} + y = xe^{3x}$
(ii) $\frac{d^2y}{dx^2}=5\frac{dy}{dx}+6y=10e^{-2x}$
2 (a) Find the general solution of the differ... | 5 | [
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-0.0181... | 9,909 | 9909 | |
ax+b=e^(cx)
January 23rd 2010, 08:23 PM #1
Newbie
Joined
Jan 2010
Posts
6
ax+b=e^(cx)
I ran into this problem at the end of a differential equation problem on interest. If I ever learned to solve such a problem I am drawing a complete blank.
Specifically the part I'm stuck at is:
500r + 1 = e^(... | 5 | [
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Mathemati
Mathematical pendulum
a mathematical pendulum is an idealization of a material pendulum. It is a fundamental model to understand of hunting oscillations.
Mathematical pendulums are characterized by two substantial characteristics:
• It does not prevail a friction in any form, thus neither to flow resista... | 4 | [
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0.0275... | 9,911 | 9911 | |
Please help solving Linearly Dependent question for 4 variation
November 2nd 2012, 07:46 AM
angelme
Please help solving Linearly Dependent question for 4 variation
cosx, sinx, e^x, and e^-x are LI or LD ( 0 =or< x =or< 1)
I can see without calculation that it is LI but I do not know how to prove it.
I ... | 5 | [
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Group cannot be the union of conjugates
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I have seen that if $G$ is a finite group and $H$ is a proper subgroup of $G$ with finite index then $ G \neq \bigcup\limits_{g \in G} ... | 5 | [
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-... | 9,913 | 9913 | |
Length of a Roll of Carpet
Date: 08/21/97 at 15:41:38
From: Shane Massey
Subject: Length of a roll
How would one determine the length of a roll of (say carpet)
without uncoiling it? You are allowed to measure the thickness of the
carpet and the diameter of the roll.
I started by letting the thickness of a layer = ... | 4 | [
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Constant and nonconstant growth valuation
September 20th 2009, 03:41 PM
drod1218
Constant and nonconstant growth valuation
Can someone please help me, i am stumped on these 2 problems? Thanks.
1-A company currently pays dividnd of $2 per share. It is estimated that the conpnay's divivend will grow at a rate... | 5 | [
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assignment solution_spring2012_smu
Master of Business Administration- MBA Semester 1 MB0040 – Statistics for Management - 4 Credits (Book ID: B1129) Assignment Set - 1 (60 Marks) Note: Each question carries 10 Marks. Answer all the
questions. Q1. What are the functions of Statistics? Distinguish between Primary data a... | 4 | [
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Need proof of theorem about log branch-cuts
June 8th 2009, 03:48 AM #1
Super Member
Joined
Aug 2008
Posts
903
Need proof of theorem about log branch-cuts
I'm going to need the following theorem for a problem in here, and I was wondering if anyone could help me prove it?
Theorem:
For $p$ and $q$... | 4 | [
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-0.11376953125,
-0.007415771484375... | 9,917 | 9917 | |
Cauchy sequence
September 27th 2009, 08:10 AM
zhupolongjoe
Cauchy sequence
Let a0 and a1 be distinct real numbers.
Define an=((an-1)+(an-2))/2 for each positive integer n>=2.
Show that {an} is a Cauchy sequence...
Hint:
Use induction to show that
(an+1 - an)=(-1/2)^n*(a1-a0) and then us... | 4 | [
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0.01080322265625,
-0.0947... | 9,918 | 9918 | |
Dynamics Problem
March 3rd 2009, 09:43 PM #1
Junior Member
Joined
Feb 2008
From
NWT, Canada
Posts
51
A mass of 25kg is being pulled to the right by an applied force of 85 N. A mass of 8 kg is located between the applied force and the 25 kg mass. The coefficient of friction is 0.2
What is the ... | 4 | [
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Dense-in-itself set
October 25th 2012, 05:40 PM
xinglongdada
Dense-in-itself set
Let $E\subset \mathbb{R}^1$ be a non-empty countable set. Suppose $E$ has no isolated points, prove that $\bar E\backslash E$ is dense in $\bar E.$
It is difficult, isn't it?
October 25th 2012, 08:51 PM
hollywood
Re: Dense-i... | 5 | [
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Arcsinx
February 25th 2014, 07:41 AM
davidciprut
Arcsinx
So there is a question that asks that to show that sinx has an inverse function, and show that it;s differantiable at any point. So I showed that it's one to one and it's bijection func at [-pie/
2,pie/2], and ther3fore exists an inverse function in th... | 5 | [
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0.087890625,
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Splitting matrix of rank one
up vote 1 down vote favorite
Let R a normal domain, that is an integrally closed noetherian domain, like Dedekind domains, UFD, etc
Let A=(a[ i j ]) a matrix with elements in R and dimension n x m.
Suppose
• rank A=1 ↔ all 2 x 2 minors are =0.
• J:= ideal generated by a[ i j ] verif... | 4 | [
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algebra problem
June 2nd 2009, 10:09 PM #1
Junior Member
Joined
May 2009
Posts
29
algebra problem
1/sqrt(n) - 1/sqrt(n+1)
is there a quick way to find out the sum of the series where n=1 + n=2 + n=3, all the way up to...99?
Couldn't you have replied to your own thread at http://www.mathhelpfo... | 4 | [
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... | 9,923 | 9923 | |
Cross Product
Definition
The cross product of a and b, written a x b, is defined by:
a x b = n a b sin q
where a and b are the magnitude of vectors a and b; q is the angle between the vectors, and n is the unit vector (vector with magnitude = 1) that is perpendicular (at 90 degrees to/ orthogonal to/
normal to) both a... | 4 | [
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0.0688476... | 9,924 | 9924 | |
Martingales with brownian motion
August 11th 2012, 03:04 PM
Tribal5
Martingales with brownian motion
Hi,
I've to prove that a couple of equations are martingales. yet i don't really know where to start (well i know that if i can show them as driftless or as an itos integral that would answer the
questio... | 5 | [
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... | 9,925 | 9925 | |
Particle Motion
May 3rd 2009, 04:47 AM #1
Junior Member
Joined
Feb 2009
Posts
36
Particle Motion
A particle moves on the X-axis so that its velocity at any time t is given by v(t)=sin2t. At t=0, the particle is at the origin.
a.) For 0<=t<= pi, find all values of t for which the particle is moving t... | 4 | [
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Calculate slope of a data set or trend line
On Database » Microsoft Access
3,909 words with 4 Comments; publish: Wed, 02 Jan 2008 20:01:00 GMT; (250171.88, « »)
Hello everyone,
I hope someone is out here who can help me with a simple calculation...
I have a sales data base in access with monthly sales history by
... | 5 | [
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0.01263427734375,
0.1015625,
-0.09521484375,
0.04052734375,
0.0... | 9,927 | 9927 | |
Non linear map - determinant
January 15th 2009, 12:45 PM #1
Junior Member
Joined
Sep 2008
From
Freiburg i. Brgs. Germany
Posts
45
Non linear map - determinant
Hi,
How to calculate a determinant if the coefficients are not linear? This confuses me because the determinant map is an alternating k-m... | 5 | [
-0.0230712890625,
-0.004180908203125,
-0.02294921875,
-0.080078125,
-0.04150390625,
0.015625,
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-0.0869140625,
-0.042724609375,
0.03662109375,
0.06298828125,
-0.01531982421875,
0.0042724609375,
-0.01202392578125,
-0.0859375,
0.0751953125,
-0.08837890625,
0.037109375,
... | 9,928 | 9928 | |
Verifying Trigonometric Identities
Date: 07/12/2002 at 08:10:05
From: Dianne Graham
Subject: How do you verify a Trigonometry Identity?
How do you verify a Trigonometry Identity? I looked in my textbook
and the directions were not clear.
Date: 07/12/2002 at 17:24:22
From: Doctor Ian
Subject: Re: How do you verify ... | 4 | [
-0.138671875,
0.06982421875,
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0.09375,
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1000 monkeys, 1000 typewriters and 1000 years
June 25, 2012
One thousand monkeys on one thousand typewriters banging away for one thousand 1000 years will actually not likely produce a shakespearian novel. It actually takes longer, so wear this shirt and show
those around you that you can do math.
“There is a straig... | 5 | [
-0.031005859375,
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0.1064453125,
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Measurability/Dilations
April 19th 2012, 09:26 PM
TaylorM0192
Measurability/Dilations
Hello. I wasn't going to ask this question on here, since I'm sure I've been over-thinking and just need to take a minute to reevaluate my solution attempt, but I need to get this done ASAP.
Problem Statement: Let $\delta ... | 5 | [
0.08544921875,
0.024658203125,
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0.0439453125,
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0.0869140625,
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... | 9,931 | 9931 | |
Trying to figure out how to rotate an ellipse...
February 8th 2011, 09:48 PM #1
Junior Member
Joined
Jan 2011
Posts
28
Trying to figure out how to rotate an ellipse...
Hi,
So, I have been trying to figure out how to rotate an ellipse in the form of:
$x^2/a^2 + y^2/b^2 = 1$
My guess is that... | 5 | [
0.01092529296875,
-0.004302978515625,
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-0.... | 9,932 | 9932 | |
Area and Pythagoras
August 2nd 2007, 05:09 PM
Sazza
Area and Pythagoras
Hey! I couldn't find a section here that was dedicated to this topic, so i posted here:
I'm having trouble.
In my Textbook it has: Use (pie sign) = 3.14
1. (a) Draw the net of this cylinder/[it's a normal cylinder only it's on it... | 4 | [
0.0252685546875,
0.03955078125,
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0.000511169433593... | 9,933 | 9933 | |
A treatise on practical mensuration
CALCULATION.
*
Here 36.8x18.3=673.44, the are... | 4 | [
-0.006561279296875,
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... | 9,934 | 9934 | |
Uniform Continuity Proof
October 15th 2007, 02:52 PM
tbyou87
Uniform Continuity Proof
Let f, g be uniformly continuous functions on (a,b). Show that the function f+g is uniformly continuous on (a,b) by using the epsilon - delta definition.
I'm pretty sure it will involve something along the lines of |x-y| =... | 5 | [
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-0.050537109... | 9,935 | 9935 | |
calculus integration problem
Indefinite Integral of e^(7x)(sin(4x))dx cant seem to get the substitution/integration by parts to work for me thanks in advance!
Use integration by parts twice and treat the integral as the unknown. Then you can solve for the integral as if it's an algebra problem.
Integration by parts s... | 5 | [
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... | 9,936 | 9936 | |
Server utilization: Joel on queuing
Joel Spolsky of Joel on Software fame mentions queuing theory in the latest StackOverflow podcast. He mentions a rule of thumb that wait times go up quickly as server utilization exceeds 80%. The
same principle applies whether you’re talking about computer servers or human servers. ... | 4 | [
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0.099609375,
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-0.05... | 9,937 | 9937 | |
Another Proof for Distributivity of Cross Product
October 1st 2012, 09:56 AM #1
Newbie
Joined
Oct 2012
From
Istanbul
Posts
14
Greetings,
In the book Field and Wave Electromagnetics by David K. Chen, I am asked whether the distributive law holds for cross product or not. However, I am asked not to... | 5 | [
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0.10693359375,... | 9,938 | 9938 | |
two intersecting circles with a triangle
April 12th 2009, 12:32 PM
Itachi888Uchiha
two intersecting circles with a triangle
Two circles intersect and have a common chord 24 cm long. The centers of the circles are 21 cm apart. The radius of one circle is 13 cm. Find the radius of the other circle.
I don't ge... | 4 | [
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Induction Proof of Series Sum
Associated Topics || Dr. Math Home || Search Dr. Math
Induction Proof of Series Sum
... | 5 | [
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0.... | 9,940 | 9940 | |
Derivative of additively seperable function
October 4th 2012, 11:27 AM
aroyal641
Derivative of additively seperable function
I'd like to take the derivative w.r.t. y(x) of the following function:
$\theta = g\{y[\phi(x)]\} + y(x)$
where g(.), y(.) and phi(.) are all functions and x is a random variable.... | 5 | [
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... | 9,941 | 9941 | |
differentiate arcsin, need to check if I've done right
March 5th 2013, 10:05 AM #1
differentiate arcsin, need to check if I've done right
I have done another one, which is f(x)= 8arcsin(x^4);
f’(x) = 8 (1/(sqrt(1 – (x^4)^2))*4x^3 =>
f’(x)=32x^3/(sqrt(1 – (x^4)^2))=>
f’(x)=32x^3/(sqrt(1 – (x^8))=>, ... | 5 | [
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0.053466796875,
-0.06884765625,
0.00921... | 9,942 | 9942 | |
Inverse Problems Functions
December 15th 2008, 03:44 PM #1
Newbie
Joined
Dec 2008
Posts
5
Inverse Problems Functions
Explain best you can and if possible please just give answers i have to go to sleep dont know if i can finish in morning
A linear equation has the form y=mx+c.
In the first... | 4 | [
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0.05615234375,
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0.000522613525390625,
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0.10986328125,
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-0... | 9,943 | 9943 | |
Math Forum Discussions
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Handle function implicitly accounting for independ... | 5 | [
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0.035400390625,
0.01068115234375,
0.0390625,
0.0029754638671875,
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0.014892578125,
-0.04150390625,
-0.02001953125,
-0.11572265625,
0.03... | 9,944 | 9944 | |
Measuring Electric Power at Home Without Special Tools
Using just your watch and the electric meter outside your house, you can accurately and safely measure the power consumption of various household appliances and devices. Here's how:
Procedure overview:
First with the device in question turned on, then with it of... | 4 | [
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0.0284423828125,
0.039306640625,
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0.03125,
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0.0030975341796875,
-0.0035552978515625,
0.0286865234375,
-0.019287109375... | 9,945 | 9945 | |
Trig derivatives
October 9th 2007, 03:14 PM #1
Junior Member
Joined
Sep 2007
Posts
26
Trig derivatives
ok so I think this is using chain rule again but i'm stuck at simplifying
y= ((1+cosx)/(sinx))^(-1)
i'm at
-1 (1+cosx/sinx) ^(-2) times (-sinx^2 - cos x +cos x^2)/sinx^2
and also
... | 5 | [
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0.043212890625,
-0.0118408203125,
0.03466796875,
0.0162353515625,
0.0264892578125... | 9,946 | 9946 | |
How Much Popcorn did Paul Sell?
Date: 01/28/2002 at 08:50:16
From: Melissa
Subject: How much popcorn did he sell?
Paul made $44.14 selling 27 items (beer and popcorn). If he made $1.22
selling popcorn and $2.62 selling beer, how many boxes of popcorn were
sold?
What I did...
I said that x(1.22) + n(2.62) = 44.14
... | 4 | [
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0.10546875,
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0.0206298828125,
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-0.032470703125,
-0.027099609375,... | 9,947 | 9947 | |
Exponentiating both sides of an equation.
November 23rd 2013, 06:52 PM #1
Member
Joined
May 2011
Posts
133
Thanks
2
Exponentiating both sides of an equation.
$ln(y+1)+ln(y-1)=2x+ln(x)$
So if both sides are exponentiated with base e then the resulting left side of the equation comes out to by my ... | 4 | [
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0.0615234375,
-0.1259765625,
0.025390625,
-... | 9,948 | 9948 | |
Stirling Numbers
Date: 05/26/99 at 05:58:31
From: John C. Westmoreland
Subject: Evaluate Stirling Numbers of the First and Second Kinds
Hello Dr. Math,
I need some practical examples of how to evaluate Stirling Numbers of
the First and Second Kinds. So far, I'm not satisfied with what I've
found regarding the formu... | 5 | [
-0.06689453125,
-0.053466796875,
0.01141357421875,
0.007781982421875,
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0.04736328125,
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0.018310546875,
0.007537841796875,
... | 9,949 | 9949 | |
Help with simplifying?
simplify x/(y-x)(z-x) + y/(z-y)(x-y) + z/(x-z)(y-z) *Hint: the common denominator consists of 3 factors only Please show all important steps
You need to change the sign on some of the factors, so the factor is the same in each fraction, for instance $(y-x)=-(x-y),\ (z-x)=-(x-z),\ (z-y)=-(y-z)$ $... | 4 | [
-0.07177734375,
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0.0311279296875,
0.045654296875,
0.047607421875,
-0.05224609375,
0.078125... | 9,950 | 9950 | |
Solve the equation z^4 + 81 = 0
norivea $z^4+81=0$ $z^4=-81$ Taking the square root of both sides: $z^2 = \pm 9i$ Again taking the square root of both sides: $z = \pm \sqrt{\pm 9i}$ = $\pm 3 \sqrt{\pm i}$ So what is $\sqrt{\pm i}$?
To answer this, let's write "i" a bit differently using the exponential form for complex... | 5 | [
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0.006439208984375,
-0.007293701171875,
-0.00909423828125,
0.0189208... | 9,951 | 9951 | |
Nature of the triangle
December 21st 2009, 09:12 AM
dhiab
Nature of the triangle
Determine the nature of the triangle ABC, the measurements of his angles of which are respectively, a, b, c such as:
$\frac{{\sin a}}{{\sin b}} = 2\cos c<br />$
December 22nd 2009, 12:54 AM
Grandad
Hello dhiab
Quote:... | 4 | [
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Mathematical Morphology
Next: References Up: Computer Vision IT412 Previous: Identifying connected components
Subsections
Mathematical Morphology is a tool for extracting image components that are useful for representation and description. The technique was originally developed by Matheron and Serra [3] at the Ec... | 4 | [
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-0.042724609375,
-0.01904296875,
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0.08... | 9,953 | 9953 | |
Cracking Random Number Generators - Part 4
In Part 3 of this series, we investigated the Mersenne Twister, and saw how with 624 consecutive integers obtained from it, we can predict every subsequent integer it will produce. In this part, we
will look at how to calculate previous integers that it has produced. We will a... | 4 | [
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-0.068359375,
-0.0390625,
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-0.1455078125,
-0.04345703125,... | 9,954 | 9954 | |
Homework Help
Posted by Ron on Sunday, October 2, 2011 at 2:39am.
a) What is the area of the tri-angle determined by the lines y= − 1/ 2x + 5,y =6x and they-axis?
(b) If b > 0 and m < 0, then the line y = mx +b cuts off a triangle from the first quadrant. Express the area of that tri-angle in terms ofm andb.
(c) The... | 4 | [
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-0.068359375,
-0.0244140625,
... | 9,955 | 9955 | |
2nd order differential equation - variation of parameters
March 30th 2009, 11:50 PM #1
Newbie
Joined
Mar 2009
Posts
24
2nd order differential equation - variation of parameters
Hi,
I would like to know how to solve the following:
Solve the differential equation using the method of varaition of ... | 4 | [
0.00994873046875,
-0.0400390625,
0.0478515625,
-0.055419921875,
0.044921875,
-0.01129150390625,
-0.0054931640625,
0.005035400390625,
-0.07373046875,
-0.0218505859375,
0.0693359375,
-0.10693359375,
0.036865234375,
-0.048828125,
0.01953125,
-0.04443359375,
-0.021240234375,
-0.0368652... | 9,956 | 9956 | |
Belt and Wheel Problem
June 6th 2012, 04:07 PM #1
Member
Joined
Oct 2011
Posts
153
Belt and Wheel Problem
The treadmill at Robert's gym is run by a belt and wheel system.
A motor spins wheel A which is attached by a belt to wheel B.
Wheel B is fixed by an axle to wheel C which spins the conveyor ... | 4 | [
-0.052490234375,
0.025390625,
-0.10595703125,
-0.037841796875,
-0.0167236328125,
0.01275634765625,
-0.0439453125,
0.051025390625,
0.02001953125,
-0.019775390625,
0.08740234375,
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0.04736328125,
0.0198974609375,
-0.0107421875,
0.12890625,
0.006805419921875,
0.0393066... | 9,957 | 9957 | |
Matrix Notation and Matrix Multiplication
February 8th 2011, 07:05 PM
Erich
Matrix Notation and Matrix Multiplication
If A and B are n by n matrices with all entries equal to 1, find $\ (ab)_{ij}$. Summation notation turns the product AB, and the law (AB)C=A(BC), into
$\\ (ab)_{ij}= \displaystyle \sum_{k}\ a... | 5 | [
-0.09619140625,
0.00738525390625,
-0.043212890625,
-0.011962890625,
-0.0830078125,
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0.03125,
-0.05078125,
0.0027008056640625,
0.0179443359375,
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-0.03759765625,
-0.0089111328125,
-0.029052734375,
-0.033935546875,
0.1328125,
-0.0284423828125,
0.108... | 9,958 | 9958 | |
Tricky Infinite Series and Radius of Convergence
Date: 04/21/2008 at 21:32:09
From: Adam
Subject: A Very Tricky Series (Radius of Convergence-Endpoint Test)
This problem has consumed and befuddled 5 professors, and the entire
Tutor Center (me included) at Sierra College here. Any help on this
final portion of the pr... | 5 | [
-0.048095703125,
-0.0556640625,
-0.032958984375,
0.025146484375,
0.00927734375,
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0.045166015625,
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-0.04931640625,
0.0634765625,
-0.02197265625,
-0.0302734375,
0.0023651123046875,
-0.066... | 9,959 | 9959 | |
Suppose that the graph of f(x) is a parabola intersecting the origin and containing t
October 4th 2009, 06:00 PM
Evan.Kimia
Suppose that the graph of f(x) is a parabola intersecting the origin and containing t
Suppose that the graph of f(x) is a parabola intersecting the origin and containing the points (-2,8) a... | 4 | [
-0.038818359375,
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0.036376953125,
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0.021240234375,
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0.0986328125,
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0.0225830078125,
0.021240234375,
-0.0133056640625,
0.07861328125,
-0.0615234375,
-0.121... | 9,960 | 9960 | |
Homology-Cohomology Pairing
up vote 5 down vote favorite
The Steenrod algebra $\mathcal{A}^*$ is the algebra of cohomology operations for the spectrum $\mathrm{H}\mathbb{F}_2$, i.e. $\mathcal{A}^*\simeq (\mathrm{H}\mathbb{F}_2)^*(\mathrm{H}\mathbb{F}_2)$.
The dual Steenrod algebra $\mathcal{A}^\vee _*$ can be interpre... | 4 | [
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0.072265625,
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-0.035400390625,
-0.0244140625,
0.08642578125,
0.01409912109375,
-0.125,
0.021728... | 9,961 | 9961 | |
Lines
Consider the line L containg the points (-3,8)and (6,-4) what is the length of the hypotenuse of the right triangle formed b the intersection of L and the x and Y axes
Hello, Dragon! Did you make a sketch? Quote: Consider the line $L$ containg the points (-3,8)and (6,-4). What is the length of the hypotenuse of ... | 4 | [
-0.021240234375,
0.06103515625,
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0.1328125,
0.017333984375,
0.02978515625,
0.0291748046875,
0.017578125,
0.0014495849609375,
0.0106201171875,
0.006195068359375,
0.125,
-0.10498046875,
-0.109375,
... | 9,962 | 9962 | |
Global maximum and minimum
December 7th 2011, 08:34 PM #1
Newbie
Joined
Dec 2011
Posts
1
Global maximum and minimum
I am having trouble with finding the global maximum and minimum values of this function:
$\frac {1} {(x-8)^2+6}$
Am I supposed to be finding the derivative of it and then setting ... | 4 | [
0.01116943359375,
-0.00830078125,
0.024658203125,
-0.0478515625,
-0.0419921875,
0.023193359375,
-0.043701171875,
0.09326171875,
0.03125,
-0.015869140625,
0.0213623046875,
0.0087890625,
0.0185546875,
0.000713348388671875,
-0.0615234375,
-0.004669189453125,
0.068359375,
-0.0303955078... | 9,963 | 9963 | |
Homework Help
Posted by Dani mak on Monday, January 14, 2013 at 1:31am.
Ship A is 70 km west of ship B and is sailing south at the rate of 25 km/hr.ship B is sailing north at the rate of 45 km/hr.how fast is the distance between the two ships changing 2 hours later?
• Derivatives - Reiny, Monday, January 14, 2013 a... | 5 | [
0.002532958984375,
0.087890625,
-0.0186767578125,
-0.03173828125,
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0.06201171875,
-0.0859375,
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0.021484375,
-0.046142578125,
0.09521484375,
-0.0244140625,
-0.04... | 9,964 | 9964 | |
Order Preserving Embeddings
March 7th, 2008 by James Chapman
Last friday I talked about OPEs which Peter Morris and I have been thinking about recently. OPEs give you a nice way of implementing weakening for a syntax with de Bruijn variables and binding.
Here’s one:
data Ty : Set where
ι : Ty
_→_ : Ty -> Ty ->... | 4 | [
-0.00665283203125,
-0.0081787109375,
0.10302734375,
-0.026123046875,
-0.06298828125,
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0.09814453125,
-0.01031494140625,
-0.0185546875,
0.0203857421875,
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0.02587890625,
0.045166015625,
0.021240234375,
0.038330078125,
0.10791015625,
0.07861328125,
0.05... | 9,965 | 9965 | |
How to find f(x) - I suspect an error in the command
March 20th 2011, 01:17 PM
Viou
How to find f(x) - I suspect an error in the command
Hello
I want to solve a question, I don't understand why my answer is false so i think there might be an error in the order.
The quadratic function takes the value of ... | 4 | [
-0.0250244140625,
0.050048828125,
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-0.052734375,
-0.01239013671875,
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0.080078125,
-0.0257568359375,
0.047607421875,
0.0810546875,
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0.027099609375,
0.06494140625,
-0.00518798828125,
0.05908203125,
0.007049560546875,
-0.0520... | 9,966 | 9966 | |
Logarithms help
April 25th 2010, 04:46 AM #1
Junior Member
Joined
Apr 2010
Posts
42
Logarithms help
Well I have 2 questions but they are labeled (i) and (ii) from the same question so I'll post them in a single thread. Please forgive me if I'm not supposed to that because I just joined today
and I'm ... | 4 | [
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0.0693359375,
0.052734375,
-0.0032958984375,
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0.0201416015625,
0.0302734375,
0.01007080078125,
0.06298828125,
-0.08251953125,
0.10888671875,
0.022705078125,
-0.00677490234375,
0.042236328125,
-0.1513671875,
-0.041259765... | 9,967 | 9967 | |
A Neighborhood of Infinity
This is a quick followup to a post on
reddit
. This time a crude approximation to the Maybe monad implemented in C:
include <stdio.h>
typedef struct {
int something;
int just;
} MaybeInt;
MaybeInt returnMaybe(int i)
{
MaybeInt r;
r.something = 1;
r.just = i;
return r;
... | 4 | [
-0.0157470703125,
-0.006744384765625,
0.0322265625,
-0.021728515625,
-0.0262451171875,
-0.030029296875,
-0.0223388671875,
0.0169677734375,
-0.04541015625,
-0.078125,
0.0361328125,
-0.043212890625,
0.00537109375,
0.0322265625,
-0.01336669921875,
-0.06787109375,
0.0111083984375,
0.06... | 9,968 | 9968 | |
Calculate Activation Energy from Reaction Rate Constants
This example problem demonstrates how to determine the activation energy of a reaction from reaction rate constants at different temperatures.
Problem:
A second-order reaction was observed. The reaction rate constant at 3 °C was found to be 8.9 x 10^-3 L/mol an... | 4 | [
-0.06005859375,
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0.0213623046875,
0.060546875,
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0.08203125,
0.025634765625,
0.0108642578125,
0.047119140625,
0.0101318359375,
0.01... | 9,969 | 9969 | |
Trajectorial version of Doob's $L^2$ inequality
up vote 4 down vote favorite
1
In the paper http://www.mat.univie.ac.at/~schachermayer/pubs/preprnts/prpr0154.pdf
you can find a trajectorial version of Doob's inequality. It is given by:
$$\bar{s}^2_T+4\sum_{k=0}^{T-1}\bar{s_k}(s_{k+1}-s_k)\le 4s^2_T$$
$$ \ba... | 5 | [
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-0.083984375,
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0.060302734375,
0.09375,
-0.00579833984375,
... | 9,970 | 9970 | |
Reference for a nice proof of "undetermined coefficients"
up vote 8 down vote favorite
3
I'm teaching an honors differential equations class and have been using linear algebra heavily. I thought it would be interesting to include a proof of the method of undetermined coefficients along
the lines described below, which... | 5 | [
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0.0927734375,
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0.0194091796875,
0.01806640625,
0.06787109375,
-0.12890625,
0.04638671875,
0.037109... | 9,971 | 9971 | |
Perplexing Mensuration Question - sphere in a cone
September 26th 2010, 12:33 AM
PythagorasNeophyte
Perplexing Mensuration Question - sphere in a cone
Hello everyone.
This maths question is somewhat beyond my ken. One part of it talks about similarity while the other talks about mensuration. Still, I could ... | 4 | [
-0.01043701171875,
0.0673828125,
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0.0908203125,
0.111328125,
0.0380859375,
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0.0137939453125,
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0.08935546875,
-0.03125,
-0.07470703125,
-0.016357421875,
0.02490234375,
... | 9,972 | 9972 | |
Trig Word Prob- how wide is the fire?
November 13th 2008, 07:15 PM #1
Newbie
Joined
Nov 2008
Posts
3
Trig Word Prob- how wide is the fire?
hey just wondering if anyone can figure out the following problem...
A helicopter is dropping water on a forest fire from a height of 300 feet. If one side of th... | 4 | [
-0.00384521484375,
0.10791015625,
-0.026123046875,
0.01043701171875,
0.0177001953125,
0.0029449462890625,
-0.0390625,
0.0654296875,
-0.03076171875,
0.05224609375,
0.056396484375,
-0.006988525390625,
0.0306396484375,
0.025634765625,
0.068359375,
0.062255859375,
-0.1455078125,
-0.021... | 9,973 | 9973 | |
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Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: AC method of factoring polynomials
Replies: 5 Last... | 4 | [
-0.072265625,
-0.012451171875,
-0.0286865234375,
0.09716796875,
0.04541015625,
0.06982421875,
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0.0234375,
-0.041748046875,
0.041259765625,
0.08447265625,
0.03564453125,
0.10009765625,
0.06298828125,
-0.01116943359375,
0.09033203125,
-0.0400390625,
-0.001136779785156... | 9,974 | 9974 | |
Salt Concentration
Date: 01/23/97 at 13:11:47
From: Ruth Carver
Subject: calculus question
Dr. Math,
We're preparing for the calculus BC exam and are having difficulty
with this question.
Tank A contains 100 gallons of fresh water. Tank B contains 100
gallons of a brine solution with a salt concentration of 2 lb/g... | 5 | [
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0.0234375,
-0.035400390625,
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0.0223388671875,
-0.006011962890625,
0.009033203125,
-0.01544189453125,
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0.029052734375,
-0.046875,
0.05029296875,
-0.05029296875,
-0.0346679... | 9,975 | 9975 | |
Minimal normal subgroups of a finite group
up vote 1 down vote favorite
I have encountered a few problems regarding the minimal subgroups of a finite group $G$. Any references and/or answers regarding the following questions will be very welcome.
1)If $G$ is a finite group, what can be said about its minimal normal s... | 4 | [
-0.02978515625,
0.0224609375,
0.0869140625,
0.04638671875,
0.064453125,
-0.038818359375,
0.03515625,
0.06396484375,
-0.056884765625,
-0.01055908203125,
0.035400390625,
-0.0206298828125,
0.07275390625,
-0.06494140625,
-0.034912109375,
0.0001277923583984375,
0.0194091796875,
0.007110... | 9,976 | 9976 | |
Recovering probabilities for nucleotide trimming processes for T cell receptor TRA and TRG V-J junctions analyzed with IMGT tools
Abstract
Background
Nucleotides are trimmed from the ends of variable (V), diversity (D) and joining (J) genes during immunoglobulin (IG) and T cell receptor (TR) rearrangements in B cells... | 4 | [
-0.023193359375,
-0.007293701171875,
0.0037384033203125,
-0.040283203125,
0.00054931640625,
-0.0064697265625,
0.0615234375,
0.09033203125,
0.091796875,
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-0.037841796875,
0.051513671875,
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0.047119140625,
-0.0390625,
0.053466796875,
-0.06640625,
0.0625,
... | 9,977 | 9977 | |
Inequality involving size of nodes & min degree of graph.
up vote 1 down vote favorite
Context: http://www.sciencedirect.com/science/article/pii/S0019995882904776
Lemma 1 on 3rd page.
Question excerpted / rewritten as follows:
(V,E) = a graph on {0,1}^n, where there is an edge between x, x' iff (x,x') differ in exa... | 5 | [
0.072265625,
0.07958984375,
0.07763671875,
-0.05810546875,
0.0751953125,
-0.03662109375,
-0.021728515625,
0.00665283203125,
-0.0439453125,
0.07080078125,
-0.06591796875,
-0.058837890625,
0.002288818359375,
-0.017822265625,
0.04931640625,
0.052001953125,
0.0498046875,
-0.03515625,
... | 9,978 | 9978 | |
Distance from point to line on Earth
Take the 2-minute tour ×
Stack Overflow is a question and answer site for professional and enthusiast programmers. It's 100% free, no registration required.
We'll start with some assumptions:
• We'll model the figure of the earth as an oblate spheroid.
... | 4 | [
-0.0269775390625,
-0.0203857421875,
-0.037109375,
-0.06640625,
0.0218505859375,
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0.095703125,
-0.00482177734375,
-0.0693359375,
-0.008544921875,
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0.0306396484375,
0.042236328125,
-0.01263427734375,
-0.0213623046875,
-... | 9,979 | 9979 | |
Rings, and zero divisors
April 2nd 2009, 09:24 PM
lttlbbygurl
Rings, and zero divisors
Let R be a ring that contains at least two elements. Suppose for each nonzero a in R there exists a unique b in R such that aba = a.
a. show that R has no divisors of 0
b. show that bab = b
c. show that R has unit... | 5 | [
-0.078125,
0.036376953125,
-0.07470703125,
0.039794921875,
-0.001617431640625,
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-0.061279296875,
0.005828857421875,
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0.04345703125,
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0.09521484375,
0.022705078125,
0.019775390625,
0.0306396484375,
0.003936767578125,
0.02... | 9,980 | 9980 | |
Inequality with even powers of trigonometric functions
up vote 0 down vote favorite
For $m>0$,
$0 < n\leqslant m+1$ ($m,n\in \mathbb{Z} $) , and $0 < a < 1$ , prove that $$2^{n}\cdot \left( a^{n}\cos ^{2m}\dfrac {\pi a} {2}+\left( 1-a\right) ^{n}\sin ^{2m}\dfrac {\pi a} {2}\right) \leqslant\
cos ^{2m}\dfrac {\pi a} {2... | 5 | [
-0.031494140625,
0.0078125,
-0.046630859375,
0.10595703125,
-0.052978515625,
-0.003936767578125,
-0.08154296875,
0.03857421875,
-0.007720947265625,
0.06787109375,
-0.000423431396484375,
-0.01300048828125,
0.03369140625,
-0.02734375,
0.036376953125,
-0.003173828125,
0.049560546875,
... | 9,981 | 9981 | |
Simultaneous Equations
January 5th 2008, 07:55 AM #1
Newbie
Joined
Jan 2008
Posts
2
HI Guys,
Can any body solve these simultaneous equations:
2a + 3(a-b) = 7
4b + 3(b-a) = 1
If anybody could show me how to do these that would be great !!
Thanks!
Well start by simplifying:
... | 4 | [
-0.11279296875,
-0.034912109375,
-0.01202392578125,
-0.0159912109375,
-0.08642578125,
0.06884765625,
-0.01025390625,
-0.0189208984375,
-0.03955078125,
0.0244140625,
-0.01904296875,
-0.060302734375,
0.08349609375,
0.034912109375,
0.01611328125,
0.07861328125,
-0.08740234375,
-0.0073... | 9,982 | 9982 | |
How Many Handshakes?
Date: 08/18/2005 at 20:39:33
From: Victor
Subject: How Many Handshakes
Thirty people at a party shook hands with each other. How many
handshakes were there altogether?
Before answering this question, draw a diagram and see if you can
establish a pattern by collecting data in a table for one, tw... | 4 | [
0.033447265625,
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0.0164794921875,
-0.0137939453125,
0.06591796875,
0.0048828125,
-0.0625,
-0.0908203125... | 9,983 | 9983 | |
mathschallenge.net
Quarter Circles
Problem
Four quarter circles are drawn from each vertex in a unit square.
Find the area of the shaded region.
Solution
Consider the diagram below.
By using the unit circle (see diagram below), we can find the area between 0.5 and a by integrating under the curve, x² + y^2 ... | 5 | [
0.033935546875,
0.076171875,
0.004913330078125,
-0.003814697265625,
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-... | 9,984 | 9984 | |
Need to know intermediate steps for this equation..
March 28th 2010, 08:07 AM
climbo
Need to know intermediate steps for this equation..
I haven't touched algebra in years, so bear with me.
The start of the equation is..
(plus or minus) +/-.76 = x/0.0200-x
the two it splits into are..
x= 0.020... | 4 | [
-0.04248046875,
0.0625,
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0.064453125,
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0.0142822265625,
0.021484375,
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0.0086669921875,
0.01733... | 9,985 | 9985 | |
Find the best unbiased estimator of 1/b of gamma dist.
May 5th 2009, 06:19 PM
survivor1980
Find the best unbiased estimator of 1/b of gamma dist.
Hi guys. I have a question and I hope someone can help me out
Let X1,.....Xn be a random sample from gamma(a,b) with a known.
Find the best unbiased estimator... | 5 | [
-0.078125,
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0.0947265625,
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-0.1... | 9,986 | 9986 | |
Development and Simulation of Mathematical Modelling of Hydraulic Turbine
ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 02, June 201 1
Development and Simulation of Mathematical
Modelling of Hydraulic Turbine
Gagan Singh and D.S. Chauhan
^ttarakhand Technical University, Dehradun, (U.K), India.
... | 4 | [
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-0... | 9,987 | 9987 | |
AP Calc BC - too easy?
Click here to go to the NEW Colle... | 5 | [
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-0.02600097656... | 9,988 | 9988 | |
Projectile Motion - Vector
September 28th 2009, 08:45 AM #1
Member
Joined
May 2008
Posts
138
Projectile Motion - Vector
The velocity xy plane is given by t - 4.8 t2) t (> 0) in seconds. (a) What is the acceleration when t = 2.3 s? (b) When (if ever) is the acceleration zero? (c) When (if ever) does the s... | 4 | [
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-0.02648925... | 9,989 | 9989 | |
Relatively easy math problem...
10-17-2005
gcn_zelda
Relatively easy math problem...
We're learning related rates, and I'm still trying to completely understand them, so I'm not sure how correct my answer to this question is, and I just wanted some help on it.
Quote:
A container has the shape of an op... | 5 | [
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0.0703125... | 9,990 | 9990 | |
Projective Varieties
up vote 2 down vote favorite
1
Let $\mathbb F_q$ be a finite field with $q$ elements where $q$ is a power of a prime $p$. Consider the polynomial ring
$$\mathbb F[x_{ij}],$$ for $i,j=1,\ldots ,n$. Let $f$ and $g$ be polynomils in $\mathbb F[x_{ij}]$ defined by $$f=\sum_{\sigma\in S_n}sgn(\sigma)x... | 5 | [
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0.020996093... | 9,991 | 9991 | |
State the Value of K
Date: 11/26/97 at 21:05:39
From: Jennifer
Subject: Algebra
I need an explanation and am really hopeful that I have found a good
place for help...
State the value of k so that the given point lies on the graph of the
given equation
A) 2x + ky = 21; (3,5)
B) kx - 3y = 11; (-1,-5)
C) 2kx + 5... | 4 | [
-0.06201171875,
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0.033203125,
-0.00022220611572265625,
0.00052642822265625,
0.038330078125,
-0.095703... | 9,992 | 9992 | |
Learning Haskell's Basics - Problems from Project Euler
Learning Haskell’s Basics – Problems from Project Euler
Recently I started to learn Haskell and figured, it would be a good Idea to experiment with some of the Problems from Project Euler
I worked through several of the Euler problems some time ago, when I was l... | 4 | [
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... | 9,993 | 9993 | |
When a semigroup extension $S \times A$ of a semigroup $S$ with a commutative group $A$ contains a copy of $S$?
up vote 2 down vote favorite
1
Maybe is a trivial question, but I don't know how to handle it.
Setting: Let $S$ be a semigroup (i.e. has an associative operation with neutral element $e$) and let $(A,+)$ be... | 4 | [
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0.02172851... | 9,994 | 9994 | |
Unexpected standard errors with weighted least squares in Python Pandas
up vote 2 down vote favorite
1
In the code for the main OLS class in Python Pandas, I am looking for help to clarify what conventions are used for the standard error and t-stats reported when weighted OLS is performed.
Here's my example data set,... | 5 | [
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-0.02355957... | 9,995 | 9995 | |
The Square Root of 2 is Irrational (Geometric Proof)
Problem: Show that $\sqrt{2}$ is an irrational number (can’t be expressed as a fraction of integers).
Solution: Suppose to the contrary that $\sqrt{2} = a/b$ for integers $a,b$, and that this representation is fully reduced, so that $\textup{gcd}(a,b) = 1$. Consid... | 4 | [
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0.0093994140625,
... | 9,996 | 9996 | |
Falling object
June 6th 2007, 01:58 PM #1
Junior Member
Joined
Apr 2007
Posts
40
Hi...
Q) A stone is thrown vertically upwards with a speed of 16m/s from a point h metres above the ground. The stone hits the ground 4s later. Find the value of h.
Using suvat equations, how is this done?
Than... | 4 | [
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0.078125,
-... | 9,997 | 9997 | |
Can somebody teach me about logarithms?
July 10th 2009, 08:28 AM
A Beautiful Mind
Can somebody teach me about logarithms?
Okay, so I'm just trying to run through this study guide and at the present time I'm on logarithms before it progresses to complex numbers. I just looked at this math latex site I usually go ... | 4 | [
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0.00106... | 9,998 | 9998 | |
Finding a Parabola
Date: 2/5/96 at 23:43:48
From: Anonymous
Subject: Calculus proof (more or less)
The question given to me seems simple, but no one in my class (including
BJMares (the Riverdale student who asks interesting integral questions)
has been able to figure it out.
Question:
Find the equation of the para... | 5 | [
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-0.0... | 9,999 | 9999 |