content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Fourier sine series...
February 10th 2008, 05:05 AM #1
Member
Joined
Jan 2008
Posts
114
Fourier sine series...
Let f(x) = cos x on 0<= x <= pi. Calculate the Fourier sine series representation of f(x).
Can anybody possibly start me off on this question or give me any help at all as I don't understan... | 5 | [
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0.009521484375,
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0.04541015625,
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0.0096435546875,
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-0.08447265625,
0.004058837890625,
-0.03857421875,
0.042236328125,
-0.0... | 41,500 | 41500 | |
The Orbit of Triangles
Consider an arbitrary non-equilateral triangle with edge lengths a, b, and c. Place the edge of length a on the segment [0,a] of the x-axis of a Cartesian coordinate system and mark the location of
the opposite vertex. Then place the edge of length b on the x-axis at [0,b] mark the location of t... | 4 | [
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0.038330078125,
-0.01080322265625,
-0.053955078... | 41,501 | 41501 | |
Help with Simple Math Problem Needed
July 5th 2008, 08:27 PM
max6166
Help with Simple Math Problem Needed
This is a real life problem, but I hope it is ok that I posted it here.
I have an inaccurate postal scale.
I compiled a list of weights given by the incorrect scale versus the correct weights that ... | 5 | [
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0.0644... | 41,502 | 41502 | |
Posts about probability on Matt Dickenson
What do fighter pilots, casinos, and streetlights all have in common? These three disparate topics are all the subject of statistical thinking that led to (and benefitted from) the development of
modern computing. This process is described in Turing’s Cathedral by George Dyson,... | 5 | [
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-0.07275390... | 41,503 | 41503 | |
Differential Equation Problem
November 4th 2008, 02:58 PM #1
Newbie
Joined
Nov 2008
Posts
4
Differential Equation Problem
A spherical mothball evaporates uniformly at a rate proportional to its surface area. Hence deduce a differential equation that links its radius with time. Given that the radius halve... | 5 | [
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... | 41,504 | 41504 | |
Have axioms / axiom schemata of this flavour been proposed or otherwise considered?
up vote 2 down vote favorite
With the exception of a few miscellaneous cases, the axioms (and/or schemeta) of ZFC can roughly be divided into two kinds:
1. Those that guarantee the existence of more complicated sets, given that simpl... | 4 | [
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Regular expressions
Regular Expressions
1
Regular Expression
• A regular expression (RE) is
defined inductively
a ordinary character
from S
e the empty string
2
Regular E... | 5 | [
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0.054... | 41,506 | 41506 | |
I'm totally confused!
December 15th 2008, 09:21 AM #1
Junior Member
Joined
Sep 2008
Posts
48
I am so confused on these!!
I get stated and then don't know where to start and where to end. Please help.
6a-3a^2-2ab+a^2b
I started with 3(3a-a^2) but not even sure if that is correct.
Thank ... | 4 | [
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... | 41,507 | 41507 | |
A fully nonlinear problem arising in financial modelling
Abstract
We state existence and localisation results for a fully nonlinear boundary value problem using the upper and lower solutions method. With this study we aim to contribute to a better understanding of
some analytical features of a problem arising in finan... | 5 | [
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Math help wanted :)
September 10th 2009, 04:30 PM #1
Junior Member
Joined
Jul 2009
Posts
47
Math help wanted :)
A firm’s cost function and the demand functions are
C ( x ) = 5x and p = 25 - 2x respectively, where x is the amount produced and/or demanded.
(a) Find the output level that will ... | 5 | [
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Brief summary
This experiment is carried out to show the differing effects of axial and mid-span loading. The
experiment highlights how theoretical buckling characteristics differ from actual results observed and
from analysis of the results one can attempt to account for these ... | 5 | [
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Tutorial Site On BlueJ for ICSE and ISC Students, C and Data Structure, C++ For Engineering Students
Array in Java
This page is mainly for ISC Students on array address calculation.
An array is a list of a finite number of homogeneous data elements.The number of elements in an array is called the array length. Array l... | 4 | [
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Equations - Can't solve it!
January 21st 2009, 08:22 AM
Pingu
Equations - Can't solve it!
Here's the thing:
$<br /> \frac{3}{x-3}-\frac{1}{2x-6}=\frac{5}{6}<br />$
For this to add up, I need the bottom(?) to be the same, but how can I do that?
January 21st 2009, 10:24 AM
Moo
Hello,
Quote:
... | 4 | [
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Math Trick 3: The Answer is Always 1089
This is the third part of the Math and Multimedia Math Trick Series. The first two tricks are multiplying by 11 and squaring numbers ending in 5.
As I have promised, I will teach you more math tricks that will impress your friends. The most exciting part, however, is not actua... | 4 | [
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0.104492187... | 41,513 | 41513 | |
Swedish Math problem i got. Seems to be easy. but not quite....?
March 30th 2014, 04:16 AM #1
Newbie
Joined
Mar 2014
From
Sweden
Posts
11
Swedish Math problem i got. Seems to be easy. but not quite....?
This is a problem i chose because i thought it would be interesting as well as easy, however, i sh... | 5 | [
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bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 732.51007
Autor: Drake, David A.; Erdös, Paul
Title: Bounds on the number of pa... | 4 | [
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Write formula using quantifiers
November 12th 2012, 09:29 AM
MachinePL1993
Write formula using quantifiers
Hello there.
I need to write a following formula using quantifiers, but it has to be in prenex normal form.
The formula is : function f is not weakly decreasing and not weakly increasing.
I go... | 4 | [
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please help me with a maths question
November 13th 2008, 03:13 AM #1
Newbie
Joined
Nov 2008
Posts
1
please help me with a maths question
a 9m cable has to hold 9000 kg . the steel to be used has failure stress of 1200MNm_2. Force=9000kg*10ms_2. what is diameter of the cable?
Assume that the weight o... | 4 | [
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Generalization on Coupon Collector's Problem
up vote 2 down vote favorite
1
Player extracts card from the deck (which has infinite number of size) to obtain one of $k$ colors of cards. The possibility that the player pick a card with $i$th color is given by $p_i>0$. Of
course, $\sum_{i=1}^{k}p_{i} = 1$. If you collect... | 5 | [
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0.080078125,
-... | 41,518 | 41518 | |
Lift smooth projective varieties over $\mathbb F_p$ to $\mathbb Z_p$?
up vote 2 down vote favorite
1
Given a smooth projective variety $X / \mathbb F_p$, can one find a smooth projective $\mathcal X / \mathbb Z_p$ such that $\mathcal X \times_{\mathbb Z_p} \mathbb F_p = X$? (or similarly with $\
mathbb Z$ instead of $... | 4 | [
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This is a discussion thread [·] 5 replies
Red-Eyed:
hey herp type people.
if i have a tank that is 2foot long, 1 foot front to back, and 18 inches tall, how many GALLONS does it hold? how do you calculate it? whats the formula as such??
cheers guys
This thread originates from within 'usenet', and as such the conten... | 4 | [
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Convergence of alternating harmonic sums
up vote 10 down vote favorite
4
I owe the idea of asking this question to Max Muller and his curiosity.
What is the set of $\alpha$ in the interval $0\le\alpha < 1$ for which the alternating sum $$ \sum_{n=1}^\infty\frac{(-1)^{n+[n^\alpha]}}n $$ converges? Here $[\ \cdot\ ]$ d... | 5 | [
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Maximum likelihood estimator
April 29th 2009, 04:17 PM #1
Maximum likelihood estimator
Similar to another thread I've posted, only that one's asking how to sketch the functions, this time I'm stumped on the calculations.
So the full Question (apart from part (i) because I've done that, and it doesn't relate)... | 4 | [
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... | 41,522 | 41522 | |
Show solution of y=x*p + f(p) is y=cx+f(c), with p = dy/dx
October 20th 2011, 03:16 PM #1
Member
Joined
Nov 2010
Posts
164
Show solution of y=x*p + f(p) is y=cx+f(c), with p = dy/dx
Hello guys any help would be appreciated for this question.
Show that the general solution of y=x*p + f(p) is y=cx+f(c... | 5 | [
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0.0048217773... | 41,523 | 41523 | |
find domain
The domain of a function is : all possible x that we can 'plug' in our formula with a result that is a real number (not infinity or square root of a negative number or non-positive logarithm). In
usual functions, all x work fine. Usually, the problems araise when you have your x in the denominator of a frac... | 4 | [
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0.03955078125,
... | 41,524 | 41524 | |
Integrate with respect to u
Hello. Please can you help me integrate with respect to u: $q_{uu} = (\frac{u-3}{2u})q_{u}$
Let $\displaystyle y(u) = q_u$ Then you have $\displaystyle y' = \left( \frac {u - 3}{2u} \right)y$ .......................where $\displaystyle y' = \frac {dy}{du}$ $\displaystyle \Rightarrow \frac
{... | 5 | [
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-0.0... | 41,525 | 41525 | |
Free Printable Wonderlic Practice Test Sample Questions (1-150) Part IX
This is my 9th blog on free Wonderlic Practice Test Sample Questions. Wonderlic Personnel Test (WPT) is a general test of problem solving ability that many consider to be the best measure of
intelligence.
Please print and practice and PASS (PPP)
... | 4 | [
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Running Shoes
Date: 04/03/2001 at 12:21:25
From: Detti Rattay
Subject: Probability
Dear Dr. Math,
This is a fascinating little problem, and I have been struggling with
it for a long time. Please help, if you can.
Each morning an individual leaves his house and goes for a run. He is
equally likely to leave either f... | 5 | [
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Basic Conics Help (elipse)
April 23rd 2006, 03:10 PM
kidluff
Basic Conics Help (elipse)
Given the length of the semi-major axis, and the distance between the 2 focus, how can I find the length of the semi-minor axis?
http://i14.photobucket.com/albums/a3...uff/elipse.jpg
April 23rd 2006, 03:53 PM
ThePerfec... | 4 | [
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0.047607421875,
0.03759765625,
-0.0439453125,
0.072265625,
0.042724609375,
0.0223388671875,
0.0888671875,
0.0140380859375,
0.008056640625,
-0.005126953125,
-0.06591796875,
0.031005859375,
-0.02783203125,
-0.0600585937... | 41,528 | 41528 | |
trig problems:
October 31st 2010, 10:36 PM #1
Member
Joined
Feb 2010
From
in the 4th dimension....
Posts
122
Thanks
9
trig problems:
1. prove that $\frac{ \cos A +1-\sin A }{ \cos A - 1+\sin A} = \frac{1+\cos A}{\sin A}$
2.if $\tan A=n \tan B$ ,then find the maximum value of $\tan^2 (A-B)$
... | 4 | [
-0.07763671875,
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0.0205078125,
-0.04833984375,
... | 41,529 | 41529 | |
plz give me the formula of integration by parts
i need to know the integration formula for double components like integration of u*v......plz suggest
Just in case a picture helps... ... is lazy integration by parts, doing without u and v. ... is the product rule. Straight continuous lines differentiate downwards (inte... | 4 | [
-0.002655029296875,
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-0.034912109375,... | 41,530 | 41530 | |
Calculus - Integration
• Calculus - Integration
how would I go about integrating:
[x^2 / (1+x^2)] dx
•
•
And if you didn't know that, you could use trigonometric substitution.
$\int{1 - \frac{1}{1 + x^2}\,dx} = \int{1\,dx} - \int{\frac{1}{1 + x^2}\,dx}$
$= x - \int{\... | 5 | [
0.054931640625,
-0.0036163330078125,
0.07568359375,
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0.039794921875,
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0.0242919921875,
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-0.00732421875,
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0.064453125,
-0.05126953125,
0.00750732421875,
0.0703125,
0.051269... | 41,531 | 41531 | |
Statistics - Uniform Distribution
March 4th 2014, 06:39 AM
AwesomeHedgehog
Statistics - Uniform Distribution
Let X1, X2, ... Xn be independent, uniformly distributed random variables on the interval [0, theta].
a.) Find the c.d.f. of Yn = max(X1, X2, ..., Xn).
b.) Find the p.d.f. of Yn = max(X1, X2, ..... | 5 | [
-0.01220703125,
0.013671875,
0.040771484375,
-0.1396484375,
0.037353515625,
0.005950927734375,
0.00579833984375,
0.06640625,
-0.01214599609375,
-0.01031494140625,
0.0233154296875,
0.08251953125,
0.007415771484375,
0.04052734375,
0.00787353515625,
-0.01953125,
0.048828125,
-0.101074... | 41,532 | 41532 | |
Math Forum Discussions - multiple variable exponential regression
Date: Nov 4, 2013 2:32 PM
Author: TARUN REDDY
Subject: multiple variable exponential regression
Hello,
I was using other nonlinear regression methods but was getting an imaginary solution (a+ib) form
I need to solve y = a0 + (a1*(x1^b1)) + (a2*(x2^b2))... | 4 | [
-0.08740234375,
-0.043701171875,
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0.04248046875,
0.0045166015625,
0.040283203125,
0.03173828125,
0.099609375,
-0.07080078125,
0.052978515625,
0.01361083984375,
0.08642578125,
0.126953125,
-0.060546875,
... | 41,533 | 41533 | |
Wolfram Demonstrations Project
Lorenz's Model of Global Atmospheric Circulation
This attractor arises from Lorenz's model of global atmospheric circulation (known as Lorenz–84). It models the behavior of the Earth's atmosphere on each hemisphere by averaging conditions at
different latitudes, enabling a reduction to j... | 4 | [
-0.0027008056640625,
0.000911712646484375,
0.1416015625,
0.0625,
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-0.01275634765625,
0.03466796875,
0.0035247802734375,
-0.024658203125,
-0.01519775390625,
0.06884765625,
-0.026611328125,
0.03125,
0.042724609375,
-0.055908203125,
-0.010192... | 41,534 | 41534 | |
Time dilation: Energy slows down clocks ... (Newtonian time dilation)
Time dilation: Energy slows down clocks … (Newtonian time dilation) ^ 1
The archimedes principle of time-dilation: If you go against energy your clocks will slowdown and if your clocks take energy pills they will run faster.
All types of energy slo... | 4 | [
-0.0164794921875,
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0.1015625,
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-0.021728515625,
0.02441406... | 41,535 | 41535 | |
Scale problem
June 3rd 2007, 05:52 AM
GAdams
Scale problem
When you cut a piece of A4 paper in half (portraiot way up, cut across) youget two pieces of A5 paper.
Ignoring its thickness, A5 paper is similar to A4 paper.
Express the length of A5 paper as a percentage of the length of A4 paper.
OK,... | 4 | [
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0... | 41,536 | 41536 | |
PDE - Two Dimensional Inhomogeneous??
up vote 0 down vote favorite
1
I'm looking at a two dimensional, second order, inhomogeneous equation which has no boundary conditions. I realize that there could be zero or infinite solutions to a problem like this, but I can't
think of how one would even get started on a general... | 5 | [
-0.09326171875,
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-0.047119140625,
-0.156... | 41,537 | 41537 | |
Finding Equation of Tangent Lines
October 13th 2011, 07:49 PM #1
Newbie
Joined
Oct 2011
Posts
1
Finding Equation of Tangent Lines
Hi everyone.
I'm new to this forum so if I'm doing anything wrong, im sorry
I'm just doing some study revision, and a question popped up like iv'e never seen before.... | 5 | [
-0.06396484375,
-0.0556640625,
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0.0174560546875,
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0.0042724609375,
0.042236328125,
0.048095703125,
0.10693359375,
-0.09716796875,
-... | 41,538 | 41538 | |
Variance bound and moment bound help
up vote 0 down vote favorite
I'm trying to learn Stein's method by working through parts of Approximate Computation of Expectations, but I don't follow two of his bounds ((55) and (57)) in his proof of Hoeffding's combinatorial
CLT on pages 38-42.
We have an $nxn$ array of numbers... | 4 | [
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-0.058837890625,
... | 41,539 | 41539 | |
area and volume bounded by y axis
March 25th 2009, 04:07 PM #1
Newbie
Joined
Jan 2009
Posts
15
area and volume bounded by y axis
Let area A be the region bounded by y=(2^x)-1, y=-2x+3, and the y axis.
a) find the exact value for the area of region A.
b) set up, but DONT integrate, an integral e... | 5 | [
0.01214599609375,
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0.02001953125,
-0.05908203125,
-0.06933593... | 41,540 | 41540 | |
Solving an Exponential Diophantine Equation with Modular Arithmetic
Date: 11/23/2005 at 07:36:15
From: Amar
Subject: number theory
Solve for positive integers a,b,c:
(5^a)*(7^b) + 4 = 3^c
eg a = 1, b = 0, c = 2 is a solution.
Date: 11/23/2005 at 22:00:13
From: Doctor Vogler
Subject: Re: number theory
Hi Ama... | 5 | [
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0.023803... | 41,541 | 41541 | |
Sinusoidal Functions-word problem
November 10th 2008, 06:07 PM #1
Newbie
Joined
Nov 2008
Posts
2
Sinusoidal Functions-word problem
I really need help on this problem:
A rodeo performer spins a lasso in a circle perpendicular to the ground. The height of the knot from the ground is modeled by h= -3 c... | 4 | [
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0.0284423828125,
-0.... | 41,542 | 41542 | |
ent
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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-... | 41,543 | 41543 | |
Is it a base for a Topology in R^N
November 9th 2012, 04:57 AM #1
Junior Member
Joined
Oct 2012
From
Bonn
Posts
46
Thanks
1
Is it a base for a Topology in R^N
Hi there
Prove this statement or the opposite:
Consider the set $\mathbb{R}^{\mathbb{N}} := \{ (x_n)_{n \in \mathbb{N}} : x_n \i... | 4 | [
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0... | 41,544 | 41544 | |
GR11 Math: finding endpoints of chord within a circle.
May 6th 2009, 06:43 PM
nathan02079
GR11 Math: finding endpoints of chord within a circle.
Given...
1. Point P is on the line $3x+y=26$ and is 10 units from the origin. Determine the coordinates of P.
I've gotten this far...
So:
$3x+y=26$
... | 4 | [
0.007049560546875,
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0.003936767578125,
-0.092773437... | 41,545 | 41545 | |
Volume 13,
Volume 13, Issue 9, September 1972
•
View Description Hide Description
The exact solutions for the fields inside and outside a dielectric ring in a uniform, axial, electrostatic field are derived in the system of toroidal coordinates. Comparison is made with the
perturbationsolution generat... | 4 | [
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0.0419921875,
-0.03063... | 41,546 | 41546 | |
Asymptotic approximation of $x^\alpha$ by entire functions
up vote 11 down vote favorite
Given a non-integral real $\alpha$, is there an entire (see http://en.wikipedia.org/wiki/Entire_function) function $h(x)$ such that $x^{-\alpha}h(x)\longrightarrow 1$ for $x\rightarrow+\infty$ (with
$x$ real non-negative)?
Clearl... | 5 | [
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0.09375,
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0.0235595703125,
-0.09326171875,
... | 41,547 | 41547 | |
Evaluating integrals
July 13th 2010, 07:21 PM
khch313
Evaluating integrals
Hello! I have done all of my math homework but I'm so stuck on these couple problems.'
0∫1 [ 1/(1+∛x) ]dx (integral between 0 and 1)
and
∫ [ x²/√(1-x²) ]dx
Thank you!!
July 13th 2010, 07:59 PM
Prove It
For the s... | 5 | [
0.03857421875,
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0.02197265625,
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0.0068359375,
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0.05517578125,
0.047607421875,
-0.02... | 41,548 | 41548 | |
Isomorphism between Galois Groups and triangulated cover groups of form π (X)
Though we discussed Galois groups before, it's interesting to go back and explore further an area that overlaps abstract and homological algebra. In this brief blog, I explore the isomorphism between
a Galois group of form E(n) = 2 πi/n a... | 4 | [
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... | 41,549 | 41549 | |
Worked Solution does not explain why tan x = - √15 is rejected
February 11th 2010, 02:11 AM #1
Newbie
Joined
Feb 2010
Posts
8
Worked Solution does not explain why tan x = - √15 is rejected
Can any kind soul help me in the below?
1. If x is obtuse and 2 tan^2 x = 5 sec x +10, find the value of tan x ... | 4 | [
-0.01104736328125,
0.10009765625,
0.10693359375,
-0.03271484375,
0.0093994140625,
0.00848388671875,
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0.033935546875,
0.037109375,
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-0.0771484375,
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0.0927734375,
0.041748046875,
-0.006927490234375,
0.064453125,
0.0161132... | 41,550 | 41550 | |
Equation for a summed series with a limit
June 11th 2011, 08:14 AM
ColinJ
Equation for a summed series with a limit
Hi,
I'm completely new to this. I am a software developer and haven't had the calculus books open for about a quarter of a century so I do aplologize if this is not in the correct forum. Furth... | 5 | [
-0.08642578125,
0.00531005859375,
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0.04931640625,
0.025634765625,
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0.046875,
0.04150390625,
-0.006805419921875,
-0.046875,
0.01324462890625,
-0.02001953125,
0.01165771484375,
0.0595703125,
-0.08447265625,
0.1123046875,
-0.057373046875,
0... | 41,551 | 41551 | |
Static solutions of an elastic rod in a helical shape without twist
Benjamin Armbruster∗
Mentor: Alain Goriely†
Undergraduate Research Assistantship
... | 4 | [
-0.058349609375,
-0.0191650390625,
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-0.037353515625,
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0.11572265625,
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0.0693359375,
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-0.050537109375,
-0.018798828125,
0.01251220703125,
-0.006378173828125,
-0.1279296875... | 41,552 | 41552 | |
How to Calculate MAXINT
Introduction
MAXINT or INT_MAX is the highest number that can be represented by a given integer data type. In SQL Server this number for the INT data type is 2,147,483,647. The highest number you can store using
the BIGINT data type is 9,223,372,036,854,775,807.
The question I would like to lo... | 5 | [
0.078125,
0.009765625,
-0.05615234375,
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-0.1015625,
-0.10498046875,
0.021728515625,
0.1240234375,
-0.0712890625,
0.0252685546875,
-0.1220703125,
0.04052734375,
0.0478515625,
0.02978515625,
0.047119140625,
0.0155029296875,
0.053466796875,
0.01263427734375,
-0.031494... | 41,553 | 41553 | |
One Dimensional Kinematics Question
May 7th 2012, 02:44 PM #1
Newbie
Joined
May 2012
From
UK
Posts
2
Hello all, first post so I'll try to be as clear as possible. I'm doing some revision for a University exam, and I have been trying to learn about trigonometry and some complementry equations for
V... | 4 | [
-0.00518798828125,
0.0634765625,
0.080078125,
-0.0311279296875,
0.055419921875,
-0.00037384033203125,
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0.07470703125,
-0.06494140625,
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0.0096435546875,
-0.0810546875,
0.036865234375,
-0.047119140625,
-0... | 41,554 | 41554 | |
Square with Area Equal to a Triangle
Date: 10/23/1999 at 11:53:34
From: Christina
Subject: Areas of triangles and squares
Given an arbitrary triangle, how can you construct a square with the
same area as the triangle? I just can't seem to figure it out.
Date: 10/27/1999 at 05:06:46
From: Doctor Floor
Subject: Re: ... | 4 | [
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0.09033203125,
0.0027008056640625,
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0.04150390625,
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0.0159912109375,
0.04833984375,
0.042724609375,
0.044921875,
-0.0230712890... | 41,555 | 41555 | |
Im completely stumped by this one.
April 23rd 2008, 03:05 PM #1
Newbie
Joined
Mar 2008
Posts
8
Im completely stumped by this one.
Find an equation for the distance traveled by an object moving along a straight line if the velocity at time t is given by: v=1/the square root of (9-t^2). The object was 10m ... | 5 | [
-0.0047607421875,
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-0.0419921875,
0.10302734375,
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0.03662109375,
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0.04150390625,
-0.103515625,
0.01531982421875,
0.0274658203125,
0.0476... | 41,556 | 41556 | |
Module 4 -- Graphing Motion and Acceleration vs. Deceleration
From PER wiki
Learning Goals
After working through this module, you should be able to:
• Recognize or construct a velocity versus time graph illustrating 1-D motion with constant acceleration.
• Recognize or construct a position versus time graph il... | 4 | [
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0.0693359375,
0.0598144... | 41,557 | 41557 | |
Lecture 1 Solutions 1020 S11
SOLUTIONS
A solution is a homogeneous mixture of two or more substances; the dissolved substance is called the
solute and the substance in which the solute is dissolved is called the solvent. The relative a... | 4 | [
0.035400390625,
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0.041015625,
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0.062255859375,
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-0... | 41,558 | 41558 | |
Solving Cubic and Quartic Polynomials
Date: 04/30/98 at 17:53:13
From: E. Aevan vonBerwick, IV
Subject: Cubic, Quartic Formulas
Hi,
I know you have received numerous questions about the Cubic and
Quartic Formulas, and I know they are very long, so I will not ask you
to give them to me. But, I was wondering if you c... | 5 | [
-0.06005859375,
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0.06201171875,
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0.06005859375,
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0.068... | 41,559 | 41559 | |
Urgent! Need help with Differential Compound Interest Rate Problem!
November 7th 2012, 06:22 AM #1
I've been thinking about this problem for an hour and it's due in 2 hours!
Find the amount in a savings account after one year if the initial balance in the account was $1000, the interest is paid continuously i... | 4 | [
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How to find next to optimal path in hidden Markov model or what should be LIST-Viterbi algorithm ?
up vote 1 down vote favorite
The Viterbi algorithm is an algorithm for finding the most likely sequence of hidden states – called the Viterbi path.
Question If I am interested in list of several paths - optimal, sub-opt... | 4 | [
-0.059326171875,
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metalogic :: Satisfaction of a theory by a structure: finite and infinite models
metalogic
Article Free Pass
Satisfaction of a theory by a structure: finite and infinite models
A realization of a language (for example, the one based on L) is a structure
in which the second term is a function that assigns a member o... | 4 | [
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... | 41,562 | 41562 | |
Calculus Limit Problem
February 12th 2009, 12:55 PM
mathamatics112
Calculus Limit Problem
I need help solving the following problem. I need the find the values of m and b.
limit x->0 [(root mx + b) - 3 ] / x = 1
I tried rationalizing this which was multiply by (root mx + b) + 3 on both the denominator... | 4 | [
-0.045166015625,
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-0.01287841796875,
0.0373535156... | 41,563 | 41563 | |
Salie-type sum bound
up vote 7 down vote favorite
1
I am interested in bounding the following Salie-type ("twisted Kloosterman") sum
$$ S(a,b,\beta) = \sum_{x \in \mathbb{Z}/{p^{\beta}}\mathbb{Z}} \left( \frac{x}{p^{\beta}} \right) \chi(ax + bx^{-1}). $$
Here, $\left( \frac{\cdot}{q} \right)$ denotes the Jacobi symb... | 4 | [
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Azimuth Angle
Date: 09/08/98 at 01:24:30
From: Rachel Harrington
Subject: Calculating the azimuth angle
I am trying to find out more about the azimuth angle. I think that it
is used to find the error between true north and magnetic north. I
know that the formula is:
AZ = (cos D*sin t)/[(cos L*sin D)-(sin L*cos D... | 4 | [
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Solving for t?
June 10th 2010, 08:53 AM #1
Newbie
Joined
Jun 2010
Posts
2
Solving for t?
Hey all not sure if this should be in pre-calc or calc. I'm trying to solve the following equation (Von Bertalanffy) for T.
L(t)=Li(1-e^(-k(T-To)))
L(t)=Length at age t
Li=Theoretical maximum length
... | 4 | [
-0.060791015625,
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-0.0505... | 41,566 | 41566 | |
integration
integrate 1/ (y^2 - 1) with respect to dy. no idea how.. ;0
There are 2 ways to go here 1. Use partial fraction decomposition 1/(y^2-1) = 1/(y-1)(y+1) = A/(y-1) + B/(y+1) 1 = A(y+1) + B (y-1) if y= 1 A =1/2 If y = -1 B= -1/2 1/(y^-1) = 1/2[1/(y-1) - 1/(y+1)]
you have 2 simple integrals 2. Trig sub y =sec(t... | 5 | [
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Differentiation problem
May 21st 2009, 11:49 AM #1
Member
Joined
Apr 2008
Posts
137
Thanks
4
Differentiation problem
Hi,
I'm mistified about where I'm going wrong here:
Find the derivative of: [(4x-1)(4x-1)^1/2]
The answer given is 6(4x-1)^1/2
but I get 6(4x -1)
not sure wher... | 4 | [
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0.09375,
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-... | 41,568 | 41568 | |
Computer Graphics
Computer Graphics
Lecture 14
Curves and Surfaces II
Computer Graphics
Spline
• A long flexible strips of metal used by
draftspersons to lay out the surfaces of
airp... | 4 | [
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Compound angles question Rsin...
May 29th 2009, 02:01 PM #1
Newbie
Joined
May 2009
Posts
3
Compound angles question Rsin...
Hello
I have a compound angles question that I have attempted but I am not sure if it is correct or not.
The question and my educated answer is laid out below:
Expres... | 4 | [
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Probability and statistics blog
Chances are you’ve already heard about the Monty Hall problem. I wouldn’t be mentioning it at all, except that I keep reading descriptions of the problem that miss the absolutely critical point. For
those who are new to the problem, here’s a summary:
Suppose you’re a contestant on a gam... | 4 | [
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Hey guys i have these two questions on complex numbers help please????
May 9th 2009, 08:22 PM #1
Newbie
Joined
Mar 2009
Posts
15
hey guys i gt tese two questions on dot and vectors , thing is im trying to revise and this topic is alien to me so hopefully by having several answers i can practice and unders... | 4 | [
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Memoization and Laziness
In this chapter we will discuss memoization, a programming technique for cacheing the results of previous computations so that they can be quickly retrieved without repeated effort. Memoization is
fundamental to the implementation of lazy data structures, either "by hand" or using the implement... | 5 | [
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Math Help
prove the identity sin 3 x = 3 sin x - 4 sin ^3 x
Hello, meli3000! Prove the identity: . $\sin3x \:= \:3\sin x - 4\sin^3\!x$ We will need these identites: . . $\sin(A+B) \;=\;\sin A\cos B + \sin B\cos A$ . . $\sin2A \:=\: 2\sin A\cos A$ . . $\cos2A
\:=\:1-2\sin^2\!A$ . . $\cos^2\!A \:=\:1 - \sin^2\!A$ $\sin... | 4 | [
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0.06640625,
... | 41,574 | 41574 | |
Does every cocontinuous functor between categories of presheaves on small categories have a right adjoint?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let C, E be small categories, let Ĉ = Set^C^op, and let F:Ĉ → Ê be c... | 5 | [
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0.05... | 41,575 | 41575 | |
differentiation applying two rules
here is my second example - please see if my inital steps are correct- while I get my head around what I did wrong in first example- ta
Ok I read what you said and I tried again- you can't fail me for trying. Please have a look
For that last example, you overlooked squaring the enti... | 5 | [
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0.04... | 41,576 | 41576 | |
Cohomological dimension of a homomorphism
up vote 9 down vote favorite
Let $G$ and $\Gamma$ be discrete groups, and let $\phi\colon\thinspace G\to \Gamma$ be a homomorphism.
Define its cohomological dimension $\operatorname{cd}\phi$ to be the least integer $d$ such that $\phi^\ast\colon H^i(\Gamma;M)\to H^i(G;M)$ is ... | 5 | [
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0.0233154296875,
0.1162109... | 41,577 | 41577 | |
Do Irrational Roots Come in Pairs? (Part 2)
continued from this post…
Are all irrationals of the form $a+b\sqrt{c}$?
Consider, for instance, the simple third degree polynomial
$g(x)=x^3-2$
This function has one real root, $x=\sqrt[3]{2}$, and two nonreal roots. But notice that this root isn’t of the form $a+b\sqrt... | 4 | [
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0.0002307891845703125,
... | 41,578 | 41578 | |
proof by induction
September 7th 2008, 08:01 PM #1
Member
Joined
Jun 2007
Posts
77
proof by induction
Say I am given that $w^r$ means the string is spelled backwards. Ex:
$(hello)^R$ = olleh
The definition is:
1. w is a string of length 0 then w^R = empty set
2. w = ua, where $a \in \S... | 5 | [
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-0.06005859375... | 41,579 | 41579 | |
Cube roots of perfect cubes
Cube roots of perfect cubes Using Vedic Mathematics
It may take two-three minutes to find out cube root of a perfect cube by using conventional method. However we can find out cube roots of perfect cubes very fast, s... | 4 | [
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0.... | 41,580 | 41580 | |
Using limits to find an equation of a tangent line to the graph of f at given point
May 31st 2009, 11:39 AM #1
Newbie
Joined
May 2009
Posts
12
Using limits to find an equation of a tangent line to the graph of f at given point
Given:
$\sqrt{x+2}$ at the point $(7,3)$
I need to use the limit def... | 4 | [
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-0.047119140625,
-... | 41,581 | 41581 | |
Please, could someone help me with this Optimization problem?
What is the largest possible area for a triangle whose hypotenuse is 5cm. long?
Since it has a hypotenuse, we'll assume that it's right-angled. Call the base of the triangle \displaystyle \begin{align*} x \end{align*}, then the height must be \displaystyle ... | 5 | [
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-... | 41,582 | 41582 | |
Airplane Engine - Probability Question!
February 4th 2009, 04:57 PM #1
Junior Member
Joined
Nov 2008
Posts
53
Airplane Engine - Probability Question!
If someone could check my answer that would be AWESOME
Q. Assume that airplane engines operate independently of each other and that at least half of t... | 4 | [
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0.06494140625,
-0.02807617187... | 41,583 | 41583 | |
Quadratic Residues
November 27th 2012, 07:54 AM
babygill
Quadratic Residues
Let p be a prime number with p>5. Prove that the sum of the squares of the quadratic nonresidues modulo p is divisible by p.
July 11th 2013, 02:59 AM
brosnan123
Re: Quadratic Residues
Answer :- f we consider the sum:
∑ i^2, ... | 5 | [
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-0.099609375,
0.07177734375,
0.0264892578125,
0.06... | 41,584 | 41584 | |
Solubility of the quintic?
up vote 23 down vote favorite
9
Over the p-adics, every Galois group is solvable. Does this imply that the quintic (and higher-order polynomials for that matter) can be solved by radicals over $\mathbb{Q}_p$?
EDIT: The original place I learned that the p-adic galois groups were solvable was... | 5 | [
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Complexity of a fixed point
up vote 5 down vote favorite
1
Let $\varphi:\mathbb{R}^{2}\rightarrow\mathbb{R}^{2}$ be a homeomorphism of the plane with fixed point $p$, i.e. $\varphi(p)=p$, and no other periodic points. Let $r$ be a fixed natural number. My
question is:
Is it possible to partition the plane into a fini... | 5 | [
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-0.04614... | 41,586 | 41586 | |
Percent help
March 25th 2014, 06:04 AM #1
Newbie
Joined
Oct 2011
Posts
9
Percent help
There is 2 positive numbers
1 number is p% of the other
How many percent is those numbers geometric mean from arithmetic mean?
Answer is (20√(10) / p+100) %
How to get there? Been struggling with thi... | 4 | [
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0.0634765625,
-0.045654296875,
0.0004062652587890625,
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0.076171875,
0.115234375,
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0.025390625,
0.052734375,
-0.028076171875,
0.008850... | 41,587 | 41587 | |
Integration by partial fractions: HELP!
Hey guys, I need some help on these questions: Please help!
#55 (a.) Partial fractions (b.) Partial fractions (c.) Trigonometric substitution (use the "completing the square" operation) As for #53, use polynomial division. I don't understand #54 at all.
For 53: You want to perf... | 5 | [
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0.03051... | 41,588 | 41588 | |
Indefinite integrals
January 9th 2010, 06:01 AM
mj.alawami
Indefinite integrals
Question:
$\int x^3.(2-x^2)^7$
$u=2-x^2$
$\int x^3 .u^7$
$du=-2x$
I dont know what to do next.
Please answer in steps ,Thank you
January 9th 2010, 06:10 AM
Prove It
Quote:
For this you should use... | 5 | [
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-0.01519775390625,
-0.02... | 41,589 | 41589 | |
Morphisms of Sheaves
We’ve got sheaves now, so naturally we move on to morphisms between them. We begin by fixing $X$ a topological space and take $\mathscr{F},\mathscr{G}$ to be two presheaves on $X$. A morphism of
presheaves is an abelian group homomorphism $\phi(U):\mathscr{F}(U)\to\mathscr{G}(U)$ for each $U\subset... | 4 | [
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-0.02587890625,... | 41,590 | 41590 | |
Trisecting an Angle
Date: 06/15/99 at 19:00:49
From: Eric Kovach
Subject: Trisecting an angle
I've been looking for someone to talk to about the trisecting an angle
problem from ancient Greece. I understand the whole modern algebra
proof thing but it doesn't disprove the possibility of angle
trisection. At least not... | 4 | [
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0.... | 41,591 | 41591 | |
Hard discs, configuration spaces, kissing spheres, the 15 puzzle
Persi Diaconis has a lovely article in this month’s Bulletin of the AMS about the “Markov chain Monte Carlo revolution.” I especially liked the discussion of the “hard disk model” for fluids, which
was new to me. Suppose X is a region in the plane and ... | 4 | [
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Common Core Standards : CCSS.Math.Content.HSA-REI.D.11
Common Core Standards: Math
Math.CCSS.Math.Content.HSA-REI.D.11
11. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately,
e.g.... | 4 | [
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-0.02746582... | 41,593 | 41593 | |
Maclaurin series question
April 29th 2009, 09:59 AM #1
Member
Joined
Dec 2008
Posts
228
Maclaurin series question
It seems like it's impossible to get the maclaurin series of sinx, cosx, and ln(x+1) to have a series index beginning at n=0. I'm confused because I think I was taught that taylor series
... | 4 | [
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fun with "necessarily" abelian
October 25th 2010, 02:35 PM
MichaelMath
fun with "necessarily" abelian
I have this problem:
Suppose that $X$ is a group with $x^2=1$ for all $x \in X$. Show that $X$ is necessarily abelian.
Prove that if $X$ is finite, then $|X|=2^n$ for some $n \geq 0$ and $X$ needs at l... | 5 | [
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0.... | 41,595 | 41595 | |
Linear operator if I know its image and kernel
February 12th 2010, 01:54 AM #1
Newbie
Joined
Feb 2010
Posts
2
Can somebody suggest how to solve these problems?
1.
U = l(a1, a2, a3)
$a_{1}$= (1, 0, 3,−1),$a_{2}$ = (1,−1, 1, 1),$a_{3}$ = (1, 1, 5,−3)
W is the solution space of:
$3x_{1}$... | 5 | [
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0.032... | 41,596 | 41596 | |
subsets of products of trees
up vote 7 down vote favorite
2
A subset of a geodesic metric space is called convex if for every two points in the subset one of the geodesics connecting these points lies in the subset. Is it true that every convex subset of a
product of two trees with $l_1$-metric is a median space, that... | 5 | [
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-0.0708... | 41,597 | 41597 | |
Algebra HW questions
November 10th 2008, 05:00 AM #1
Newbie
Joined
Nov 2008
Posts
1
Algebra HW questions
Hello,
I am currently taking a college algebra class online and needs some help on a few homework questions. My instructor has not gotten back to me yet, so I found this forum and thought I would... | 4 | [
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How many Combinations ?
January 17th 2014, 08:17 PM
Melody2
How many Combinations ?
If 2 numbers and 5 letters are chosen in any order, how many possible ordered combinations are there?
-----------------------------------------------------------------------------------------------------------
If the two... | 4 | [
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