content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Number of choices
October 11th 2013, 08:42 PM
harbottle
Number of choices
This one is from Hogg & Tanis, 1.3-21.
A manufacturer makes storage files, which are made up of a top, a base, and up to six storage modules. There are four bases to choose from and two tops, and the storage modules come in five
d... | 4 | [
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... | 42,800 | 42800 | |
Polar form
April 6th 2011, 04:09 AM
Rine198
Polar form
Let z=2exp(-Pi/6) and w=sqrt(2)exp(Pi/4)
Find zw in polar form and hence express tan(Pi/12) in surd form
So I manage to find zw in polar form, which is 2sqrt(2)exp(Pi/12), but I don't know how to express tan(Pi/12) in surd form. Please help me than... | 4 | [
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0.09375,
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The Formation of Galaxies - G. Efstathiou and J. Silk
8.2. Angular momentum and dissipative collapse
In Section 6.3 we showed that the tidal torque theory for the origin of angular momentum is inconsistent with the idea that spiral discs formed by the dissipative collapse of a self-gravitating gas
cloud. The White and... | 4 | [
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-0.0150756835937... | 42,802 | 42802 | |
Calculating Square Footage or Area
Date: 01/08/2007 at 07:34:47
From: Melissa
Subject: square footage
I recently got a job at a home improvement store, and I am constantly
asked to figure out square footage. I need the formula that is used
on most areas like square and rectangle. Also, what if a wall is not
square ... | 4 | [
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Definition of Limit proof: x -> infinity of sqrt(x) - x = -infinity
January 28th 2011, 07:26 AM #1
Newbie
Joined
Jan 2011
Posts
4
Definition of Limit proof: x -> infinity of sqrt(x) - x = -infinity
First post! yay!
Okay so yesterday I had a problem set due and it had two definition of limit at infin... | 5 | [
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Error control coding in digital communications systems
An important function of any modern digital communications system is error control coding. Such coding is the field of communications that deals with techniques for detecting and correcting errors in
a signal. Though used in a variety of systems, error control codi... | 4 | [
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Mass and Energy Balances
Next: Mass Transport Processes Up: CE251 Part I Previous: Introduction
One of the fundamental laws of physics states that mass can neither be produced nor destroyed---that is, mass is conserved. Equally fundamental is the law of conservation of energy. Although energy
can change in form, ... | 5 | [
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eek
August 30, 2002
This Week's Finds in Mathematical Physics (Week 185)
John Baez
I'd like to continue the story of "q-mathematics" which I was telling you in "week183" and "week184". Sorry for the enormous pause - I was travelling around a bunch.
Let's see... where were we? We were talking about "q-deformation" -... | 4 | [
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Gauss's Law - Examples
Required math: vectors, calculus
Required physics: electrostatics
Reference: Griffiths, David J. (2007) Introduction to Electrodynamics, 3rd Edition; Prentice Hall – Problems 2.11 – 2.18.
Gauss’s law in electrostatics relates the integral over a closed surface of the electric field to the inte... | 5 | [
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Volume 54,
Volume 54, Issue 6, June 2013
FEATURED ARTICLE
•
A global analysis is presented of solutions for Laplace's equation on three-dimensional Euclidean space in one of the most general orthogonal asymmetric confocal cyclidic coordinate systems which
admit solutions through separation of variables. ... | 4 | [
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d
Last updated: June 27, 1999. Updates will be posted as they become available.
Notice: This material will be included in a forthcoming (summer 2000) book with the tentative title Experiencing Geometry in Euclidean, Spherical, and Hyperbolic Spaces. This new book will be an
expanded and updated version of Experiencing... | 4 | [
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Number Theory - Eulers Criterion and Gauss' Lemma
Hi all any help with the attached question would be wonderful
The discrimant is, $121-103 = 18$ Consider, $\left\{ 18\cdot 1,18\cdot 2 , ... , 18\cdot 9 \right\}$ There are $9$ such numbers so that the remainders exceede $19/2$. Thus the Legendre symbol is $
(-1)^9=-1$... | 5 | [
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positive hermitian elements in $M_n(\mathbb{C})$
up vote 5 down vote favorite
1
Elements of the set $P$ of positive hermitian $n×n$ matrices over complex numbers have some special properties:
(i) they are closed under sum,
(ii) they are closed under multiplication by positive scalars,
(iii) spectrum of every matrix... | 4 | [
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The maximum of a polynomial on the unit circle
up vote 34 down vote favorite
17
Encouraged by the progress made in a recently posted MO problem, here is a "conceptually related" problem originating from a 2003 joint paper of Sergei Konyagin and myself.
Suppose we are given $n$ points $z_1,...,z_n$ on the unit circle ... | 5 | [
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I can't get the equation
April 26th 2005, 08:20 AM
ldc_girl
I can't get the equation
An amoeba propogates by simple division: it takes 3 minutes for each split. We put such an amoeba in a glass container with nutriet fluid; it takes 1 hour unti the vessel is full of amobeas. How
long will it take to fill the... | 4 | [
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Me, Myself and Mathematics
Paradox about high-dimensional spheres!
March 27, 2013
I have been out of puzzle world for sometime. Leaving IIT Kanpur meant leaving company of theoretical souls such as Ramprasad, Deepanjan and Sagarmoy. Interactions with them drove me to write most of
the articles I write here.
Anyways,... | 5 | [
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Graphing Complex Functions
Date: 08/11/98 at 03:44:56
From: Michael Liddle
Subject: Complex solutions to polynomials
In my Calculus class (Paraparaumu College, New Zealand), we have just
begun a new unit on "Complex Numbers." In our study so far, we have
learned the significance of i and its properties and the way i... | 5 | [
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Solving recurrences
Note: this page uses the following special characters: Greek capital letter theta: (Θ), Greek capital letter omega (Ω), minus sign (−). If these characters do not appear correctly, your browser is
not able to fully handle HTML 4.0, and some of the following text will likely not have the correct app... | 5 | [
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... | 42,817 | 42817 | |
Find the 276th Letter
Date: 08/15/2001 at 15:06:49
From: Cale McMellon
Subject: Sequence pattern
What is the pattern for this problem? I know the answer is g, but
isn't there an easier way to find it than writing it out?
Find the letter that is the 276th entry in the following sequence:
g,l,g,l,l,g,l,l,l,g,l,l,l,l,... | 4 | [
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0.046875,
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0.000881195068359375,
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-0.027... | 42,818 | 42818 | |
An Introduction to Fuzzy Sets
Hardcover | $75.00 Short | £30.95 | ISBN: 9780262161718| 7.1 x 10.1 in | April 1998
Essential Info
Table of Contents
FOREWORD
PREFACE
Philosophy
Significant Features
Chapter Descriptions
Intended Readership... | 4 | [
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0.031982421875,
-0.1220... | 42,819 | 42819 | |
proof with complex numbers
February 10th 2010, 02:10 AM #1
Member
Joined
Dec 2008
From
Australia
Posts
161
proof with complex numbers
a, x, y, z are real numbers such that:
$\frac{cosx + cosy + cosz}{cos(x+y+z)}= \frac{sinx + siny + sinz}{sin (x+y+z)} = a$
Using the identity, a = $\frac{cos... | 5 | [
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-0.01293... | 42,820 | 42820 | |
Math riddle, optimization of angle and parametric eqations.
November 11th 2009, 08:29 AM #1
Newbie
Joined
May 2009
Posts
9
Thanks
1
Math riddle, optimization of angle and parametric eqations.
Sorry if this is posted in the wrong esction. I just couldnt find a better place.
[Question]
You and... | 5 | [
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... | 42,821 | 42821 | |
divergence
Context
Riemannian geometry
Basic definitions
Further concepts
Theorems
Applications
Differential geometry
Contents
Definition
In Riemannian geometry, the divergence of a vector field $X$ over a Riemannian manifold $(M,g)$ is the real valued smooth function $div(X)$ defined by
$div(X) = \star_g^{-1... | 4 | [
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0.05761... | 42,822 | 42822 | |
Precalculus Help. Finding exact solutions on the equation
July 29th 2010, 05:35 AM #1
Newbie
Joined
Jul 2010
From
New Jersey
Posts
20
Precalculus Help. Finding exact solutions on the equation
Hi
Find all exact solutions on [0,2pi)
2(cos^2)x + 3sinx = 3
Someone said i had to use (cos^2)... | 4 | [
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... | 42,823 | 42823 | |
Reference request for two-generator subgroups of a free group
up vote 2 down vote favorite
2
According to B. Fine, G. Rosenberger, On restricted Gromov groups, Comm. Algebra 20 (1992) 2171--2181, Gromov proved the following in his long article introducing word-hyperbolic groups:
Let $x$ and $y$ be elements of a t... | 5 | [
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Random High-Low Searching
Consider a row of n identical boxes arranged in a line from left to right. We know that in one of the boxes, selected secretly at random, has been placed a red marble, whereas in all the boxes to
the left of that box has been placed a black marble, and in all the boxes to the right has been ... | 5 | [
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0.0341796875,
... | 42,825 | 42825 | |
Non-homeomorphic spaces that have continuous bijections between them
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
What are nice examples of topological spaces $X$ and $Y$ such that $X$ and $Y$ are not homeomorphic but... | 5 | [
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-0.015380859375,
... | 42,826 | 42826 | |
Totally Ordered Relations
October 13th 2007, 10:55 AM #1
Junior Member
Joined
Nov 2006
Posts
59
Totally Ordered Relations
Are there any sets A for which $(\mathcal{P}(A), \subseteq)$ is totally ordered? Prove your answer.
To be courteous, I will include the definitions for partial ordering and total... | 4 | [
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0.09716796875,
-0.... | 42,827 | 42827 | |
dual Coxeter number, affine algebra, invariants under twisting
up vote 2 down vote favorite
Sometime ago we came across invariant quantities under twisting of all affine algebra. (See the appendix E of http://arxiv.org/abs/hep-th/0403076 .) Choose the convention so that the longest root has
length $\sqrt{2}$, and the... | 4 | [
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-0.0595703125,
0.05908203125,
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0.0072021484375,
... | 42,828 | 42828 | |
Cost of Phone Call
Date: 02/27/97 at 16:05:31
From: CAI Lab User
Subject: problem
Hi Dr. Math!
A direct-dial long distance call between two cities costs $1.04 for
the first 2 minutes and $0.36 for each additional minutes or fraction
thereof. Use the greatest integer function to write the cost (C) of a
call in term... | 5 | [
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-0.0... | 42,829 | 42829 | |
An explicit description of Lawvere's segment in the category of simplicial sets
up vote 7 down vote favorite
In any presheaf topos, there exists an object called Lawvere's segment, which can be described as the presheaf $L:A^{op}\to Set$ such that for each object $a\in A$, $L(a)=\{x\hookrightarrow\ h_a: x\
in Ob([A^{o... | 4 | [
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Math Tools Discussion: Roundtable, exponents
Discussion: Roundtable
Topic: exponents
<< see all messages in this topic
< previous message | next message >
Subject: RE: exponents
Author: Mathman
Date: Oct 18 2004
On Oct 18 2004, Susan wrote:
> Even after teaching the students why x^-1 is 1/x in the same... | 4 | [
-0.025390625,
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0.032958984375,
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0.0218505859375,
0.0390625,
-0.08740234375,
0.0341796875,
-0.0... | 42,831 | 42831 | |
A melting snowball
Hi Jay.
Let's take this question step by step: first, the "snowball melts at a rate..." is clearly referring to the change in volume of the snowball with respect to time. If V = volume,
A = surface area and R = radius, then dV/dt is what this phrase means.
Now "...proportional to its surface area."... | 5 | [
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0... | 42,832 | 42832 | |
Basic Trigonometric Functions
From Math Images
(Redirected from
Basic Trig
)
Ratios: The Idea Behind Trig Functions
Imagine two lines that extend infinitely from one point. Let's call the the angle that these lines make $\angle A$.
We can draw right triangles using $\angle A$ by creating lines that are perpendi... | 4 | [
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retract in a topological space
March 23rd 2009, 04:46 PM
math8
retract in a topological space
If X is a topological space, what would be an example of a retract of X which is not closed?
I know that if X is Hausdorff, every retract of X must be closed. So I think we need to come up with a topological space ... | 5 | [
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Determining if n is a square from number of divisors?
August 20th 2009, 06:01 PM
QM deFuturo
Determining if n is a square from number of divisors?
I've noticed for a few cases that if you compute all the divisors of a composite number, if this list of divisors (including 1 and the number) is even, then the numbe... | 4 | [
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Quadratic optimization without non-negativity restriction
up vote 3 down vote favorite
1
I need an algorithm to solve a Quadratic Programming optimization problem where the unknowns are allowed to be negative. I have an implementation of the Philip Wolfe simplex algorithm based on his
article http://pages.cs.wisc.edu/... | 4 | [
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Markov chain
November 19th 2010, 09:23 PM #1
Member
Joined
Oct 2008
Posts
206
Markov chain
Suppose three out of every four trucks on the road are followed by a car, while only one out of every five cars is followed by a truck. What fraction of vehicles on the road are trucks?
I form a markov chain a... | 5 | [
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-0... | 42,837 | 42837 | |
Semigroups, Problems For Fun
June 16th 2009, 02:19 AM
Swlabr
Semigroups, Problems For Fun
A semigroup is a non-empty set $S$ together with an associative binary operation $*$, $*:S \times S \rightarrow S$.
A rectangular band is a semigroup $S := A \times B$, $A, B$ non-empty sets, under the operation $(a_1,... | 5 | [
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Could I get some help finding the rate of an angle changes
March 9th 2009, 05:36 PM #1
Newbie
Joined
Mar 2009
Posts
23
Could I get some help finding the rate of an angle changes
The question reads:
A fish is being reeled in at a rate of 30cm/s from a bridge 4m above water. At what rate is the angle ... | 5 | [
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Proving the Properties of Natural Numbers
Date: 03/09/2000 at 10:53:15
From: Harsha
Subject: How to prove a+b = b+a
Dear Dr. Math,
Can you please tell me how to prove or derive the commutative property
of addition (i.e. a+b = b+a)? Does this have something to do with set
theory?
Also, how does one go about proving... | 5 | [
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Bobby Bonilla's Deferred Deal: A Case Study
Bobby Bonilla’s Deferred Deal: A Case Study August 2, 2011
Posted by tomflesher in Finance, Macro, Teaching.
Tags: annuity formula, Bobby Bonilla, compound interest, CPI, finance, macro, macroeconomics, teaching
trackback
Note: This is something of a cross-post from The Wor... | 5 | [
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Slope-intercept
March 28th 2012, 06:27 PM
Kibbygirl
Slope-intercept
Problem states -
Find the slope-intercept form of the equation of the line perpendicular to 4x+5y= -11, and containing the point (-7,6):
I came up with y= - 4/5x + 2/5
Is this right? I feel like the example I am following from the ... | 4 | [
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Questions
Selection of Homework Questions
... | 4 | [
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Help me for nonlinear hyperbolic first order system of pde
June 19th 2008, 04:56 AM
mr.mu_vn
Help me for nonlinear hyperbolic first order system of pde
Hi,
i have a problem with the solving of nonlinear hyperbolic first oder system of pde. This look like following
http://farm3.static.flickr.com/2398/..... | 4 | [
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-0.0444335... | 42,844 | 42844 | |
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Topic: Maximum entropy
Replies: 0
ferreat Maximu... | 4 | [
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0.024658203125,
-0.125,
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0.034423828125,
-0.106... | 42,845 | 42845 | |
Two Shortcut Formulas for Set Problems -
If you’re one of those people who goes crazy over overlapping sets problems, this post is for you. Oftentimes, Venn Diagrams are the way to go on these problems, and I highly recommend that you
master them in our GMAT course. However, if you’re more formula-oriented, there’s a h... | 4 | [
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-0.05419921875,
-0.0203857421875,
-0.0... | 42,846 | 42846 | |
matrix row echelon form
May 17th 2008, 01:20 PM #1
Newbie
Joined
May 2008
Posts
2
I have never done this before and I am not sure I am doing this right.
I am taking college algebra online and I am lost in this matrix stuff. I have had several folks try to help me but no one has come up with the correc... | 4 | [
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-0.087... | 42,847 | 42847 | |
Expected value of a random variable from a bivariate distribution
February 25th 2009, 09:30 AM #1
Newbie
Joined
Oct 2008
Posts
17
Expected value of a random variable from a bivariate distribution
Hi,
I have two random variables, $X_1$ and $X_2$ that have joint pdf:
$f_{(x_1,x_2)}(x_1,x_2) = \le... | 4 | [
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5.1. Open and Closed Sets
In the previous chapters we dealt with collections of points: sequences and series. Each time, the collection of points was either finite or countable and the most important property of a point, in a
sense, was its location in some coordinate or number system. Now will deal with points, or mo... | 4 | [
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-0.0732421875,... | 42,849 | 42849 | |
Math Help
July 22nd 2012, 02:22 PM #1
Newbie
Joined
Jul 2012
From
USA
Posts
2
Bob deposited $25k in a savings account @ 10% interest compounded semiannually. At the beginning of year 4 he deposited another $40k @10% compounded semiannually. At the end of 6yrs, what is the
balance in his account? ... | 4 | [
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Difference of Two Cubes
Date: 11/18/96 at 20:48:48
From: James Fletcher
Subject: Difference of two cubes
Dear Dr. Math
I am wondering if there is an algebraic method to solve the following
problem:
The difference of two cubes is 56,765. What two positive integers
satisfy this condition?
Thank you very much,
Jame... | 4 | [
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Loan Payment
January 28th 2010, 05:20 AM #1
Member
Joined
Nov 2007
Posts
232
Loan Payment
I don't think I did the question right. Please check my solution and correct it! Is there a simple way of calculating this (it's very tedious...)?
Consider a $100,000 loan with the following 48-month repayment... | 5 | [
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Trig Properties - Due tomorrow morning!
February 11th 2007, 02:52 PM #1
Junior Member
Joined
Jan 2007
Posts
35
Trig Properties - Due tomorrow morning!
Hi, I just got slipped up on a few problems here, not sure which angle to attack from
Simplify
1. (2sinxcosx + 2cosx)/(cosx((sin^2)x - 1))
2... | 4 | [
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0.... | 42,853 | 42853 | |
SOFTWARE FOR COMPUTING OF THE HYDRAULIC TURBINES CHARACTERISTICS
Scientific Bulletin of the The 6th International Conference on
Politehnica University of Timisoara Hydraulic Machinery and Hydrodynamics
Tr... | 4 | [
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creating 1 watt rms power from 5 watt chip amp? - Page 5 - diyAudio
Decoupling Capacitor Calculations
The audible signal in an electronic music reproduction system is electric current that comes directly from the reservoir capacitors of the power supply (and occasionally from farther upstream, if the
rectifiers are co... | 4 | [
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0.... | 42,855 | 42855 | |
Learning-with-Perceptrons-and-Neural-Networks
Learning with Neural Networks
Artificial Intelligence
CMSC 25000
February 19, 2002
Agenda
• Neural Networks:
– Biological analogy
• Review: single-layer perceptrons
• Perceptron: ... | 4 | [
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0.0908203125,
0.026123046875,
-0.01147460... | 42,856 | 42856 | |
Binomials: Completing the Square
Date: 08/01/97 at 20:07:23
From: Anonymous
Subject: Binomials
Dr. Math,
I have two questions I really need your help on!
1. Find two binomials whose product is X ^ 2 - 25.
2. Find two binomials whose product is X ^ 2 - 6X + 9.
Could you please tell me how you decided on these two... | 4 | [
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0.0223388671875,
0.034912109375,
0.11572265625,
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0.0... | 42,857 | 42857 | |
Math Forum Discussions - Re: Some important demonstrations on negative numbers
Date: Nov 29, 2012 1:31 AM
Author: Peter Duveen
Subject: Re: Some important demonstrations on negative numbers
To demonstrate that 1/-a = -(1/a):
(1/-a) x -a = 1 definition of 1/-a eq.1
- - (1/a) x a = -1 definition of 1/a
- -1 (1/a... | 4 | [
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Is the following invariant of rooted trees a complete invariant?
up vote 12 down vote favorite
5
Recall that rooted trees may be generated by starting with a trivial rooted tree (just a vertex), along with the operations of grafting a number of trees (identify their roots) and adding a new
vertex to the tree to be a n... | 4 | [
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0.048828125,
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Surjective Homomorphism
December 27th 2013, 03:08 AM #1
Surjective Homomorphism
Let $Z_{36} = <x>$. For which $a \in \mathbb{Z}$ does the map $\psi _a : Z_{48} \to Z_{36} : \overline{1} \mapsto x^a$ extend to a well defined homomorphism? Can $\psi _a$ ever be a surjective
homomorphism?
In case the symbol... | 5 | [
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... | 42,860 | 42860 | |
Chebyshev Functional Link Artificial Neural Networks for Denoising of Image Corrupted by Salt and Pepper Noise
ACEEE International Journal on Signal and Image Processing Vol 1, No. 1, Jan 2010
Chebyshev Functional Link Artificial Neural
Networ... | 4 | [
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Henselian couples and finite etale morphisms
up vote 9 down vote favorite
2
Let $S$ be a scheme and $S_0 \subset S$ a closed subscheme. Then $(S, S_0)$ is said to be a Henselian couple if for every finite $X \rightarrow S$, setting $X_0 := X\times_S S_0$, the natural map
from the clopen subsets of $X$ to those of $X_0... | 4 | [
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Integration by Substitution - Confusion
January 23rd 2010, 08:22 AM #1
Member
Joined
Feb 2008
Posts
126
Integration by Substitution - Confusion
So the integral question is:
Int(1/((1-x^2)^(-3/2)))
I thought I would substitute in x=cos(u) dx=-sin(u)du ...
Wolfram Alpha uses x=sin(u)
Bu... | 5 | [
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0.058349609375,
-... | 42,863 | 42863 | |
Tangent lines
May 10th 2009, 12:18 PM #1
Junior Member
Joined
Mar 2009
Posts
33
Tangent lines
Hi, I want to get a solid understanding of the actual definition of a tangent line. I believe a tangent line is a line which touches the graph of another equation at one point? But is it always
perpendicular... | 4 | [
-0.0673828125,
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0.... | 42,864 | 42864 | |
The Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra Help
By
Rhonda Huettenmueller
— McGraw-Hill Professional
Updated on Oct 4, 2011
Introduction to The Fundamental Theorem of Algebra
By the Fundamental Theorem of Algebra, every polynomial of degree n has exactly n zeros (some might be counted mo... | 4 | [
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-0.0... | 42,865 | 42865 | |
Hawking radiation: pure and thermal mixed states are a micron away
I think that the recent paper by Raju and Papadodimas (arXiv) is the most convincing and least confusing paper about the black hole information available to the infalling observer that has been
written on this planet so far.
However, I also think th... | 4 | [
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-0.0... | 42,866 | 42866 | |
Complex unit circle questions
December 12th 2006, 07:06 AM #1
Newbie
Joined
Nov 2006
Posts
9
Complex unit circle questions
Hi there,
I have these complex unit Cicle questions.
Let O = {w \mathbb{C}||z|=1}
Let the sets alpha, beta, delta and gamma be defined as the following.
alpha ... | 5 | [
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-0.064453125,
-0.083... | 42,867 | 42867 | |
The Joy of Algebra Word Problems
Understanding Algebra
Word Problems
How Do I Teach?
Project a positive attitude
Explain types
Emphasize systematic approach
• Identify type
• Identify key unknown
• Express all quantities in terms of... | 4 | [
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-0... | 42,868 | 42868 | |
l3
3: The delta rule
Kevin Gurney
Dept. Human Sciences, Brunel University
Uxbridge, Middx. UK
1 Generating input vectors for Neural Nets
In order to make the ... | 4 | [
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0.00288391113281... | 42,869 | 42869 | |
Solution to Heat Equation
July 20th 2007, 08:09 AM #16
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
Are you sure, did you try substituting that solution in terms of Fourier series into the equation and seeing if it works. I am sure it does.
I'm afraid I cannot ex... | 5 | [
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0.01409912109375,
-0.131... | 42,870 | 42870 | |
Math Forum Discussions
RCA
Posts: 11
Registered: 11/26/05
Re: Area and volume of solid of revolution
Posted: Nov 27, 2005 8:21 PM
>>>Take a thin slice of this sphere perpendicular to the
>>>xy-plane that goes through the point x = a. This thin
>>>slice is a disk with radius f(a) and so the area of this
>>>disk is pi ... | 5 | [
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-0.09130859375,
0.0113525390625,
-0.05151367... | 42,871 | 42871 | |
Alternating multilinear invariants of GL(n) on End (k^n)
up vote 6 down vote favorite
5
Introduction. Let $k$ be a field of characteristic $0$, and let $n\in\mathbb N$. Let $V=k^n$. The group $\mathrm{GL}_n\left(k\right)=\mathrm{GL} V$ acts on $\mathrm{End} V$ by conjugation, and thus
also on the space of $s$-multilin... | 4 | [
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-0.0036773681640625,
-0.021728515625,
0.099609375,
-0.053466796875... | 42,872 | 42872 | |
Math Help
Hello. I've tried numerous online calculators without being able to find the answer given for this equation: 3 500 000 = 71706.70(1-(1+i)^-60/i) Is it possible to determine algebraically?
It is not a perpetuity, it looks like an ordinary annuity with 60 payments in amount of 71706.70 having a present value ... | 5 | [
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0.02160644531... | 42,873 | 42873 | |
non-linear mixed integer programming question
up vote 1 down vote favorite
I tried this question over in the algorithms section of stackoverflow and never really got a handle on the problem. I know it concerns non-linear mixed integer programming.
[In the following, 1...n and k are subscripts. n will be relatively sm... | 5 | [
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0.1279296875,
0.072265625,
... | 42,874 | 42874 | |
differentiation ..... :(
May 13th 2005, 04:39 AM
slurch901
differentiation ..... :(
can someone help me sove this ??????
Differentiate (x^2 + 1)^8;
Hence Find Sx(x^2 + 1)^7 dx
thanks all ... ps can you post it step by step so i can understand it as well :)
May 13th 2005, 05:51 AM
ticbol
(x^2... | 5 | [
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-0.03466796875,
0.007263... | 42,875 | 42875 | |
Linear programming
February 8th 2013, 12:35 AM #1
Newbie
Joined
Mar 2012
Posts
24
Linear programming
Hi.
I'm trying to solve a linear programming task (using the graphing method) for profit maximization.
Say, there's a small business producing peanut and raisin mixtures called PR and RP.
The ... | 4 | [
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0.0625,
-0.042236328125,
-0.06030273437... | 42,876 | 42876 | |
Volume and surface area ?
August 15th 2010, 02:28 AM #1
Member
Volume and surface area ?
Come on. First, you need the area of the cross section which is a trapezium. How do you find the area of a trapezium?
Post what you get. We'll try to continue from there.
Last edited by Unknown008; August 15th 2010... | 4 | [
0.0106201171875,
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-0.0224609375,
0.000484466552734375,
-0.0673828125... | 42,877 | 42877 | |
notes on science, math and computers
I have been thinking about how to interpret integrals in my formalism of exterior calculus. So far, I have not been very successful at getting a good analogue to Stokes' theorem mainly because I am
having trouble defining a boundary. In time that may change. For now, I am thinking t... | 4 | [
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0.040283203125,
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0.000865936279296875,
0.03759765625,
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-0.036376953125,
-0.006256103515625,
-0.004547119140625,
-0.05615234375,
-0.008... | 42,878 | 42878 | |
Surface Area of Solid of Revolution
Date: 05/21/2001 at 09:32:13
From: Stan Winston
Subject: Alternate Surface Area of Solid of Revolution Formula
My teacher mentioned that we were going to be looking at surface areas
of solids of revolution shortly after we did volumes of rotation. So,
before checking it out in the... | 5 | [
0.040283203125,
-0.01904296875,
0.0625,
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0.054443359375,
0.0137939453125,
-0.00872802734375,
-0.045166015625,
0.0344238... | 42,879 | 42879 | |
show harmonic function can be the real part of an analytic one
If we can assume that the Phi(x,y) is a real valued function then this is what you do: Apply the Cauchy-Riemann equations and show that F is analytic. Use the chain rule: $\frac{\partial }{\partial
x}f=2\left ( \frac{\partial \phi ((z+1)/2,(z-1)/2i) }{\par... | 4 | [
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-0.09130859375,
-0.04736328125,
-0.07... | 42,880 | 42880 | |
Divergence of sequence
April 3rd 2011, 02:49 PM #1
Member
Joined
Nov 2009
Posts
169
Divergence of sequence
Consider $f: \mathbb{C} \rightarrow \mathbb{C}$, $f(z) = z^2 - 2$.
Show that if $|z| > 2$, then the sequence z, f(z), f(f(z), ... diverges, i.e. is unbounded.
Yes good point! Now consider $... | 5 | [
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0.025146484375,
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0.00011730194091796875,
-0... | 42,881 | 42881 | |
Setting up a triple integral in spherical coordinates to find volume
July 5th 2010, 03:16 AM #1
Setting up a triple integral in spherical coordinates to find volume
I want to use spherical coordinates for the volume of a solid contained within the sphere x²+y²+z²=16 and outside the cone z=4-√(x²+y²).
Could s... | 5 | [
0.0272216796875,
0.09375,
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0.035400390625,
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0.044189453125,
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0.01531982421875,
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0.13671875,
-0.017822265625,
-0.0164794921875,
0.033447265625,
0.0476074... | 42,882 | 42882 | |
Applications involving relative extremum:Finding numbers
February 9th 2007, 09:45 PM #1
Senior Member
Joined
Jul 2006
From
Shabu City
Posts
381
Find the number in the interval [-1,1] such that the difference of the number minus its square is
a.) A maximum
b.) a minimum
Support your answer... | 4 | [
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-0.01336669921875,
0.06884765625,
-0.09423828125,
-0.07373046875,
-0.01092529296875,
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0.038330078125,
-0.031494140625,
-0.05078125,
0.08203125,
-0.08203... | 42,883 | 42883 | |
Prove by Contradiction
December 15th 2012, 07:30 PM
DirectorRico
Prove by Contradiction
Help!:
Prove by contradiction. If a,b and c are consecutive integers s.t. a<b<c then a^3 + b^3 /=/ c^3 (Cannot equal to c^3).
Here are my steps... let me know if I am on the right track:
For the sake of contrad... | 4 | [
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0.076171875,
-0.00131988525390625,
0.076171875,
-0.04833984375,
0.0279541015625,
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0.02490234375,
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-0.005218505859375,
-0.01904296875,
-0.0152587890625,
-0.0267333984375,
0.061... | 42,884 | 42884 | |
Square Roots and Fractions
Date: 10/25/98 at 17:57:56
From: Billy Dickson
Subject: Dividing Equations
How do you simplify a square root with a fraction? I have problems
like:
___
/ 1
_ / ---
\/ 2
Help!
Billy Dickson
Date: 10/27/98 at 08:49:33
From: Doctor Peterson
Subject: Re: Dividing Eq... | 4 | [
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0.095214... | 42,885 | 42885 | |
LAW OF CONSERVATION OF ENERGY
┌─────────────────────────────┐
│LAW OF CONSERVATION OF ENERGY│
└─────────────────────────────┘
LAW OF CONSERVATION OF ENERGY
According to the law of conservation of energy :
"Energy can neither be... | 4 | [
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-0.03149... | 42,886 | 42886 | |
Complex Analysis: Maximal Modulus Principle question
September 12th 2011, 11:17 AM
bachdylan
Complex Analysis: Maximal Modulus Principle question
Hi all,
I am stuck with this problem
Attachment 22252
It is suggested that the Maximal Modulus Principle would help but in fact, I couldn't find a place ... | 5 | [
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0.046630859375,
-0.018066... | 42,887 | 42887 | |
complex dynamics
Home Scattering Mandelbrot Fracture Software Mandel Software Binomial
Wolf Jung jung@mndynamics.com • Deutsch • Polski • Português
Gesamtschule Aachen-Brand, Rombachstrasse 99, 52078 Aachen, Germany.
Mandel: software for real and complex dynamics
Mandel is an interactive program for drawing ... | 4 | [
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Modular Exponentiation
November 13th 2010, 11:46 AM
matt.qmar
Modular Exponentiation
Hello!
I am trying to apply a result from a theorem to an example.
There is a thorem that states, for $a, n \in Z$ and $gcd(a,n)=1$ and Euler's phi-function,
$a^{\phi(n)}\ mod\ n = 1\ mod\ n$
So I am trying t... | 5 | [
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-0.12158203125,
0.00567626... | 42,889 | 42889 | |
[SOLVED] Planes of some sort?
March 31st 2009, 07:00 PM #1
Newbie
Joined
Mar 2009
Posts
8
So in my calculus and vectors course, I was assigned the following question:
Determine ALL real values of x, y and z, that satisfy the following
system of equations:
1)x^2 - yz + xy + zx = 82
2)y^2 -... | 4 | [
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0.04931640625,
-0.076171875,
... | 42,890 | 42890 | |
Set intersection Proof
February 22nd 2010, 07:43 PM
jzellt
Set intersection Proof
Show that the intersection of two non-empty open sets is open.
Proof:
Let X and Y be two nonempty open sets. Let p e XnY (n = intersection) We must show that p is an interior point of XnY. Since p e XnY, by def. of intersec... | 4 | [
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-0.052001953125,... | 42,891 | 42891 | |
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Topic: The integration test suites for Sage.
Replies: 14 ... | 4 | [
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0.03125,
0.0703125,
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... | 42,892 | 42892 | |
Complex Sort Algorithm
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1... | 4 | [
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Data Fitting
Introduction
Given a two variable data set we are interested in writing a polynomial equation that relates one quantity, x to another, y. The equation can then be used for prediction purposes. That is, finding
un... | 5 | [
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0.0137939453125... | 42,894 | 42894 | |
beta distribution
May 11th 2009, 09:42 PM #1
Newbie
Joined
Mar 2009
Posts
24
beta distribution
Let P be the prob. that an MP3 player produced in a certain factory is defective, with p assumed a priori to have the uniform distribution on 0 to 1. in a sample of one hundred MP3 players, 1 is
found to be... | 5 | [
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Standardized Incidence Ratio and Confidence Limits
Various authors discuss the standardized mortality ratio (SMR) and provide exact and approximate confidence limits for the true SMR. These results are also applicable to the standardized incidence
ratio (SIR). The following sections provide a brief outline of the resu... | 4 | [
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Use Derivatives to solve problems: Area Optimization
A problem to maximize (optimization) the area of a rectangle with a constant perimeter is presented. An interactive applet is used to understand the problem. Then an analytical method, based on... | 5 | [
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Is the $\ell$-adic cohomology of a non-proper variety unramified at good primes?
up vote 7 down vote favorite
1
Let $X$ be a smooth variety of finite type over a number field $k$. Let $\overline{X} = X \times_{k} \overline{k}$, and let $\ell$ be a prime. It's well known that if $X$ is proper, then the étale
cohomology... | 4 | [
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Negative holomorphic sectional curvature
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Let X be a complex hermitian manifold with hermitian form $\omega$. How can you prove that if $\omega$ has negative holomorphic sectio... | 5 | [
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