content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Intuition behind the Cauchy-Schwarz, Markov’s, and Jensen’s inequality
People often tend to learn inequalities just as formulas that are to be memorized, not to be thought about. There is, however, usually an intuitive explanation of the inequality which allows you the
understand what it actually means. In this article... | 4 | [
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Student Worksheet
Solution for Calculate the Energy! Student Worksheet
Neils Bohr numbered the energy levels (n) of hydrogen, with level 1 (n=1) being the ground state, level 2 being the first excited state, and so on. Remember that there is a m... | 4 | [
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Fusor Math
First, a quote from R.W. Hamming: "The purpose of computing is insight, not numbers." Use the math to get a feel for what is going on, but don't expect it to predict everything that will happen.
This page has descriptions and sample calculations for things of interest for fusorites:
Reaction Rates and Cro... | 5 | [
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bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 271.04003
Autor: Erdös, Paul; Milner, E.C.
Title: A theorem in the partition ca... | 4 | [
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Linkage analysis of a derived glucose phenotype in the Genetic Analysis Workshop 13 simulated data using a variety of Haseman-Elston based regression methods
Abstract
A variety of Haseman-Elston type regression procedures were used to perform a genome scan across five chromosomes, using replicates 1–5 of the Genetic A... | 4 | [
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OpenGL Transformation
Related Topics: OpenGL Pipeline, OpenGL Projection Matrix, OpenGL Matrix Class
Download: matrixModelView.zip, matrixProjection.zip
Overview
Geometric data such as vertex positions and normal vectors are transformed via Vertex Operation and Primitive Assembly operation in OpenGL pipeline before ... | 4 | [
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Marginal Cost derivative
September 26th 2012, 10:14 PM #1
Member
Joined
Jun 2012
From
Australia
Posts
86
Marginal Cost derivative
I have an issue with a problem.
I have the following function...
$Cost: C^2 = x^2 + 100(x)^[1/2] + 50$
I'm asked to find and interpret the marginal cost dC/... | 5 | [
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Proving limit
April 3rd 2011, 09:57 AM #1
Junior Member
Joined
Oct 2010
Posts
43
Proving limit
Let be $x_1 \geq x_2 \geq ... \geq x_n \geq ...$ positive numbers and $\sum _{n=1}^{\infty}x_n < \infty.$ Prove that $\lim_{n \to \infty}nx_n =0.$
Thank you very much in advance!
We have $0\leq nx_{2n... | 5 | [
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Math Help
December 24th 2008, 05:57 AM #1
Banned
Joined
Sep 2008
Posts
47
Minima
Find the minimal value of the product $P(x, y, z) = (x+y)(y+z)(z+x)$, when $xyz=1$ and $x, y, z$ are positive real numbers.
We have: $<br /> x + y \ge 2 \cdot \sqrt {xy} <br />$ ( just see that $<br /> \left( {\sqrt x ... | 5 | [
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Paradoxes Resolved, Origins Illuminated - Requiem for Relativity
Author Topic
Stoat
Posted - 09 Oct 2010 : 07:17:34
United Kingdom Just by way of a little note to myself; got a memory like a si... | 4 | [
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Poker Hand Probabilities
Date: 02/11/99 at 13:32:34
From: Jason
Subject: Poker Probabilty
I have to figure out the probability of different poker hands. I know
all of the hands but need help figuring out the probability of each.
I would like to see if my answers are correct.
Thank you,
Jason Charpentier
Date: 02/... | 5 | [
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closed monoidal category
Context
Monoidal categories
With symmetry
With duals for objects
With duals for morphisms
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Examples
Theorems
In higher category theory
Contents
Idea
A closed monoidal category $C$ is a monoidal categor... | 4 | [
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Probability Questions
April 7th 2009, 06:33 PM #1
Junior Member
Joined
Sep 2008
Posts
46
Probability Questions
I always have disliked probablility...
So... I need some help.. If you will please much appreciated..
How many different signals can be made using four flags of different colors on a v... | 4 | [
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C
Annu. Rev. Astron. Astrophys. 1994. 32: 371-418
Copyright © 1994 by . All rights reserved
3. MEASURING PECULIAR VELOCITIES
3.1 Distance indicators
Measuring redshift-independent distances to many galaxies at large distances is the key to large-scale dynamics (review: Jacoby et al. 1992). The simplest method... | 4 | [
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pentagon decagon hexagon identity
Contents
Idea
A certain identity in Euclidean geometry.
Suppose we inscribe a regular pentagon, a regular decagon, and a regular hexagon in circles of the same radius. If we denote the respective edge lengths of these polygons by $P$, $D$ and $H$, then
these lengths will satisfy the... | 5 | [
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Mohr's Circles for 3-D Stress Analysis
Mohr's Circle for 2-D Stress Analysis
If you want to know the principal stresses and maximum shear stresses, you can simply make it through 2-D or 3-D Mohr's circles!
You can know about the theory of Mohr’s circles from any text books of Mechanics of Materials. The following two... | 4 | [
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Bounded linear operators of a Hilber space
March 30th 2010, 05:05 AM #1
Bounded linear operators of a Hilber space
I have two questions.
Let $T \in \mathcal{B}(H)$, a bounded linear operator of a Hilbert space $H$, and let $T^{\ast}$ be the adjoint of $T$.
Firstly, is it true that $\|TT^{\ast}\|^n = \|(... | 5 | [
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Linear Algebra Proof Help
June 25th 2009, 12:52 PM
Danneedshelp
Linear Algebra Proof Help
Hello, I need help with a proof again.
Q: prove that if $A^{2}=A$, then $I-2A=(I-2A)^{-1}$.
So, from that I gather...
Givens: $A^{2}=A \rightarrow A$ is square.
Goal: $I-2A=(I-2A)^{-1}$
So, I don't ... | 4 | [
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Convergence of sequence using definition
March 24th 2013, 05:24 AM
learning
Convergence of sequence using definition
"using the definition (epsilon-N definition), show that the sequences (-1)^n(1/3n) + (1/2n) and cos(n^2)/(3n+1) both converge to the limit zero". ok, so i know the limit and i know the process. i
... | 5 | [
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Newton Method - HELP!
July 26th 2012, 06:37 AM #1
Junior Member
Joined
Dec 2010
Posts
61
Newton Method - HELP!
How would I carry out the newton method on the non-linear system below:
x[1]^2 - 10x[1] + x[2]^2 + 8 = 0
x[1]x[2]^2 + x[1] - 10x[2] + 8= 0
Perform one iteration using (0,0)^T
... | 4 | [
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olo
4-4 Calculating CFU from dilution plating results
(194152 Reads)
Table of Contents| Chapter Article List| Printable Version | Printable Chapter
[Prev]
|
[Next]
How des a count on a plates get converted to CFUs per gram or ml of sample? Let's illustrate the procedure with an example. Imagine that we perform th... | 4 | [
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2429H
CSC 2429H: Introduction to Bounded Arithmetic and Propositional Translations
Fall, 2007
Announcements
Solutions to all four assignments are posted below.
N... | 4 | [
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Posts about trigonometry on Lucky's Notes
Notes on Mercator’s Projection
November 7, 2010
The following work is my math essay assignment (an essay on any topic related to the Math 30 curriculum). I found it interesting enough that I’ll post it here on my math blog. Yay.
Introduction
How do you make a world map? We ... | 5 | [
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Trig Functions of Angles Expressed in Degrees and Minutes
Date: 05/04/98 at 19:15:06
From: Reddog
Subject: Trigonometry
I'm a student of a technical college. We just started using trig for
machining applications. I'm having trouble, due to my schedule not
allowing me to attend lectures. I'm having trouble with cotan... | 4 | [
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Publications
E Olsen
Keywords
Citation
E Olsen. Harmony Theory: New Theory of Space-Time and DNA. The Internet Journal of World Health and Societal Politics. 2005 Volume 3 Number 1.
Abstract
The sine circle map $\theta$n+1= $\inline \theta$n+$\Omega$-(k/2$\inline \pi$)sin(2$\inline \pi \theta$n) is investigated fr... | 4 | [
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binomial probability problem
June 10th 2012, 08:27 AM #1
Member
Joined
Sep 2011
From
india
Posts
106
Thanks
2
binomial probability problem
This problem has been taken from old paper of 'Master of Business Administration examination' of university in India. Problem goes as follows: A certain make ... | 5 | [
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Homework Help
Posted by Unknown on Wednesday, July 10, 2013 at 6:39pm.
1.Explain why we use the formula AB = |a - b| to find the distance of a segment. Include why you need to subtract and why you need to take the absolute value.
The formula for finding vector AB is AB = b - a where a and b are the position vectors O... | 4 | [
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Visible/Hidden Sides on Stacked Cubes
Associated Topics || Dr. Math Home || Search Dr. Math
Visible/Hidden Sides on Stacked Cubes
... | 4 | [
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or
A Tour of NTL: Some Performance Data
Here are some timing figures from using NTL. The figures were obtained using a 700MHz Pentium I... | 4 | [
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-0.0024566650390625,
-0.003631591796875,
-0.022705078125,
-0.03271484375,
-0.01708984375,
-0.013122558593... | 10,328 | 10328 | |
nd Fractal Geometry
What is a Fractal?
Classical Euclidean geometry works with objects which exist in integer dimensions: zero-dimensional points, one-dimensional lines and curves, two-dimensional surfaces like planes, and
three-dimensional solid objects such as balls and blocks (think spheres and cubes). However, man... | 5 | [
-0.0157470703125,
-0.05419921875,
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0.00189971923828125,
-0.06201171875,
-0.0595703125,
0.028076171875,
0.140625,
-0.01141357421875,
-0.04296875,
-0.06689453125,
-0.07275390625,
0.07470703125,
-0.064453125,
-0.08984375,
-0.042236328125,
-0.00891... | 10,329 | 10329 | |
Find the maximum interval sum in a list of real numbers
up vote 3 down vote favorite
1
Here's an interview questions that a colleague asked for a programming position. I thought this was great for watching the interviewee think it through. I'd love to get responses for how the SO
community thinks of it.
Given a list ... | 5 | [
-0.064453125,
-0.0211181640625,
-0.0751953125,
-0.003997802734375,
-0.051513671875,
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0.0028076171875,
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-0.0341796875,
-0.0284423828125,
-0.1142578125,
0.050048828125,
0.0673828125,
0.0311279296875,
-0.054443359375,
0.06298828125,
0.09716796875,
-0.0... | 10,330 | 10330 | |
entanglement
Contents
Idea
While in classical mechanics a (pure) state is an element of an object in a cartesian monoidal category, in contrast in quantum mechanics a pure state is an element of an object in a non-cartesian
monoidal category (say of Hilbert spaces). As a result, in quantum mechanics a state of a comp... | 4 | [
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-0.06787109375,
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0.03271484375,
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0.0849609375,
0.0703125,
-0.00288... | 10,331 | 10331 | |
Integration help?
November 13th 2012, 06:40 AM
EarlyTravel
Integration help?
How would I go about integrating these two problems?
1. http://i47.tinypic.com/34q2ryq.png dx
2. http://i46.tinypic.com/2wqqtuh.png dx
With #2, I know that Sin integrated is is -Cos x (+c), and that Cos integrated is Sin ... | 5 | [
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Block 3: The Lorenz Attractor
In this block we are working on systems of Non-Linear Differential Equations, The Edward Lorenz’s equations, and the Lorenz attractor. When dealing with biological and physical phenomena it can be
hard to find solution curves to your differential equation. In fact there are very few exact... | 5 | [
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-0.0424804687... | 10,333 | 10333 | |
The Stata Blog - Not Elsewhere Classified
Today I want to talk about effect sizes such as Cohen’s d, Hedges’s g, Glass’s Δ, η^2, and ω^2. Effects sizes concern rescaling parameter estimates to make them easier to interpret, especially in
terms of practical significance.
Many researchers in psychology and education adv... | 5 | [
0.04296875,
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... | 10,334 | 10334 | |
Writing up a Recurrence Relation Problem...
October 11th 2010, 11:40 AM
aamiri
Writing up a Recurrence Relation Problem...
I know how to solve Recurrence Relation problems, I just need help writing up the equation:
Assume that the deer population of Rustic County is 200 at time
n = 0 and 220 a... | 5 | [
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-0.056884765625... | 10,335 | 10335 | |
Understanding another linear algebra proof
May 11th 2013, 04:00 PM #1
Newbie
Joined
May 2013
From
Australia
Posts
3
Understanding another linear algebra proof
Hi again!
This is a DIFFERENT question to the one I posted yesterday. This question provides less assumptions, therefore requiring differe... | 4 | [
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0.043212890625,
... | 10,336 | 10336 | |
Euler Totient problem
The $\varphi(*)$ is a multiplicative function so that if m and n are coprime, then... $\varphi(m\cdot n)= \varphi(m)\cdot \varphi(n)$ (1) For $n=1$ and $n=2$ is $\varphi(n)=1$ and $\forall n>2$$\
varphi(n)$ is an even number, so that the solutions of the equation... $\varphi (m\cdot n)=12$ (2) ...... | 4 | [
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0.00732421875,
-0.01104736328125,
0.0157470703125,
-0.0771484375,
... | 10,337 | 10337 | |
Time domain acoustic absorption: A unified model for linear and
ASA 127th Meeting M.I.T. 1994 June 6-10
2pBV3. Time domain acoustic absorption: A unified model for linear and nonlinear acoustics.
Kenneth D. Rolt
MIT, Dept. of Ocean Eng., Cambridge, MA 02139
Dissipation of a linear acoustic wave, at frequency (omeg... | 4 | [
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Finite State Automata
7.3 Finite State Automata
This section under major construction.
Abstract machines. Modern computers are capable of performing a wide variety of computations. An abstract machine reads in an input string, and, depending on the input, outputs true (accept), outputs
false (reject), or gets stuck ... | 4 | [
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Homework Help
Posted by Lynn on Tuesday, December 13, 2011 at 11:11am.
Solve by completing the square:
x^2-6x+3=0
please take me step by step
• Algebra - Steve, Tuesday, December 13, 2011 at 12:54pm
Remember that (a-b)^2 = a^2 - 2ab + b^2
So, if you have x^2 - 6x you need half of the 6 to complete the s... | 4 | [
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... | 10,340 | 10340 | |
Math Help
October 6th 2012, 11:53 AM #1
Junior Member
Joined
Aug 2012
From
The Earth
Posts
71
Thanks
1
Vector
A straight line is given as 2(x+4) = -2(y-5) = -3(z-6),
(a)determine the vector equation of the straight line. The answer I found is r = -4i +5j +6k + t(3i -3j +2k), is this correct... | 4 | [
-0.10888671875,
0.0703125,
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-0.0027313232421875,
0.06298828125,
0.026611328125,
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0.0218505859375,
-0.038330078125,
0.04541015625,
-0.09326171875,
-0.012756... | 10,341 | 10341 | |
Help me to solve this Hypothesis problem
June 22nd 2007, 02:18 PM
fahad
Help me to solve this Hypothesis problem
Past experience indicates that the time for high school seniors to complete standardized test is a normal random variable with a standard deviation of 6 minutes. Test the hypothesis that sigma=6
a... | 5 | [
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0.04833984375,
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0.0290527343... | 10,342 | 10342 | |
ation
Two Learning Activities for a Large Introductory Statistics Class
Hrissoula Zacharopoulou
Aristotelean University of Thessaloniki
Journal of Statistics Education Volume 14, Number 1 (2006), www.amstat.org/publications/jse/v14n1/zacharopoulou.html
Copyright © 2006 by Hrissoula Zacharopoulou, all rights reserved... | 5 | [
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isomorphismes
Posts tagged with bijection
This post should give you the feeling of bijecting between domains without knowing a lot of mathematics. Which is part of getting the intuitive feeling of mathematics with less work.
Besides automorphisms, there’s another interesting kind of bijection. I’ll try to give you th... | 5 | [
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0.050537109375,
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0.0260009765625,
0.0106201171875,
0.... | 10,344 | 10344 | |
Math Help
November 30th 2008, 08:53 PM #1
Newbie
Joined
Nov 2008
Posts
3
Help me!
Let V be the usual real vector space of all 3 x 3 real matrices. Define subsets of V by
U = { A is in V : A^T= A } and W = { Ais in V : A^T= -A }
Show that both U and W are subspaces of V.
Show that V = U (dire... | 4 | [
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-0.1025390625,
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-0.0241699... | 10,345 | 10345 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: x + y + z >= xyz implies x^2 + y^2 + z^2 >= Axyz
R... | 5 | [
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0.05615234375,
-0.0084228515625,
0.00665283203125,
... | 10,346 | 10346 | |
Cardinality of types
← Branddating | Readline Hell →
Cardinality of types
In a recent blog entry, Dan Piponi wondered how many functions f :: () -> () there are. When interpreting the question in the widest sense, his answer was 5, taking the special “value” bottom into
account. (Whether bottom actually is a value... | 5 | [
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-0.1... | 10,347 | 10347 | |
Business Velocity: a Newtonian Perspective
Earlier this week I came across a YouTube clip featuring a well known “business futurist” lecturing an HR audience on the concept of building business velocity. Shortly afterward, I came across a
similar AT&T video on business velocity accompanied by the following summary quo... | 4 | [
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0.01373291015625,
-0.03955078125,
0.085449... | 10,348 | 10348 | |
Equation of a Line
Vector Equation
A line is defined as the set of alligned points on the plane with a point, P, and a directional vector,
If P(x[1], y[1]) is a point on the line and the vector
Examples
A line passes through point A = (−1, 3) and has a directional vector
Write the vector equation of the line wh... | 4 | [
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-0.06396484375,
-0.0791015625,
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0.064453125,
-0.0023651123046875,
-0.0164794921875,
0.126953125,
-0.1386... | 10,349 | 10349 | |
Scientific Papers - Vi
1919]
ON RANDOM VIBRATIONS AND RANDOM FLIGHTS
605
or in terms of r, 6,
J^
Trn
(4)
Thus all phases are equally probable, and the chance that the resultant amplitude lies between r and r + dr is
-e-r2'nrdr..................................(1)
n ^... | 4 | [
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0.006317138671875,
-0.0405... | 10,350 | 10350 | |
Maths problem
March 4th 2008, 07:48 AM #1
Newbie
Joined
Mar 2008
Posts
2
Hello to all of you,
I need help for this problem:
A solid pyramid of height 40cm and with a square base of side 30cm is put into a cubical tank of side 40cm. The tank is then filled with water. If the pyramid is removed, f... | 4 | [
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0.0081787109375,
-0.0286865234375,
0.08... | 10,351 | 10351 | |
Find all real solutions
October 7th 2009, 06:48 PM #1
Newbie
Joined
Sep 2009
Posts
7
Find all real solutions
1. $4x^4 - 18x^2 = 0$
2. $\sqrt[3]{3x + 1} - 5 = 0$
it says to find all real solutions for the 1st problem, and find all solutions for the second problem...then it says to check
I w... | 4 | [
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0.00133514404296875,
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0.0751953125,
0.0238037109375,
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0.02392578125,
0.0732421875,
0.0002899169921875,
0.0673828125,
-0.0522... | 10,352 | 10352 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
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Teacher Exchange
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: Given a set , is there a disjoint set with an arbi... | 5 | [
0.0220947265625,
-0.014404296875,
-0.0240478515625,
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0.033935546875,
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-0.017822265625,
0.0751953125,
0.038330078125,
0.0079345703125,
0.0010986328125,
0.0291748046875,
... | 10,353 | 10353 | |
Cramer's Rule
August 8th 2009, 03:27 AM
Chris1981
Cramer's Rule
Hi, I am new to the forum. I am having trouble with solving three simultaneous equations using Cramer's Rule. I have forgotten the method.
I know the way I used to do it was to take a column outside and label it Q P and R using the cover-up meth... | 5 | [
-0.06201171875,
0.06005859375,
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0.09375,
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-0.10693359375,
0.0712890625,
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-0.0157470703125,
0.05224609375,
-0.11767578125,
-0.0439453125,
-0... | 10,354 | 10354 | |
Optimization (ii)
April 4th 2007, 02:57 PM
r_maths
Optimization (ii)
Once again this question isn't really optimization but the second part is (which I know how to do). Its the first part i'm stuck at.
A semi-circular window of rcm is divided into sectors, each of area 125cm^2
http://img208.imageshack.u... | 4 | [
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0.0625,
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-0.007476806640625,
-0.018310546... | 10,355 | 10355 | |
The wind giveth a little and taketh away a lot
I ride my bike and mostly the wind makes me unhappy. On a very few days the wind is with me on the way to work and then changes so that it is with me again. But most days the wind is fairly constant.
So, if the wind is constant then shouldn’t everything even out? (Even Ste... | 4 | [
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0.0279541015... | 10,356 | 10356 | |
Choosing Socks
Date: 05/20/99 at 10:08:44
From: Gabriel Alume
Subject: Evaluating Numbers
What are the steps to evaluate the following:
a. C(n,1)
b. C(n,2)
I know the formula is for C(n,r) ... n!/r!(n-r)!
The answer to question b (from the back of the book) is n(n-1)/2. How
was this answer discovered if the init... | 4 | [
-0.0908203125,
0.005859375,
0.0167236328125,
-0.00982666015625,
-0.0517578125,
0.08349609375,
-0.029296875,
0.0108642578125,
-0.00836181640625,
0.026611328125,
-0.04833984375,
-0.0098876953125,
-0.0299072265625,
-0.009521484375,
-0.055419921875,
0.0223388671875,
-0.068359375,
-0.06... | 10,357 | 10357 | |
New Question
January 15th 2010, 11:55 AM #1
Banned
Joined
Oct 2009
Posts
39
Thanks
1
New Question
Hey again !
1) We have for example, 100 Questions to be answered for a test (Yes/No).
In order to pass the test you must have at least 95 right answers. So, how many ways there exist in order som... | 4 | [
0.030029296875,
-0.0517578125,
0.027099609375,
-0.0262451171875,
-0.0927734375,
0.078125,
0.10009765625,
0.018798828125,
-0.059326171875,
0.0966796875,
0.034423828125,
-0.01544189453125,
0.051513671875,
0.024658203125,
-0.0294189453125,
-0.005035400390625,
-0.068359375,
-0.02319335... | 10,358 | 10358 | |
Showing Differentiation
April 18th 2010, 06:10 AM #1
Member
Joined
Jan 2010
Posts
80
Showing Differentiation
Let $I\subset \mathbb{R}$ be an open interval, let $f:I \rightarrow \mathbb{R}$ be differentiable on $I$, and suppose $f''(a)$ exists at $a\in I$. Show that
$f''(a) = \lim_{h\to 0}\frac{f(a+h)... | 4 | [
0.016845703125,
-0.0272216796875,
0.0169677734375,
0.00445556640625,
0.0115966796875,
0.020263671875,
0.0283203125,
0.00726318359375,
0.0030975341796875,
0.043212890625,
0.115234375,
-0.056884765625,
0.05859375,
-0.040771484375,
0.0189208984375,
-0.038818359375,
-0.0283203125,
-0.0... | 10,359 | 10359 | |
Antiderivative
January 8th 2009, 06:03 PM #1
Junior Member
Joined
Dec 2008
From
America, Ohio
Posts
32
Antiderivative
hi,
Q1. Write the gerneral form of the antiderivative of
f(x) = 4x - 2x^2 + x*squareroot(x) + e^x
b) Hence calculate
f (4x - 2x^2 + x*squareroot(x) + e^x) dx
*... | 5 | [
0.048095703125,
-0.0546875,
0.055419921875,
-0.004302978515625,
-0.0206298828125,
-0.005859375,
-0.05517578125,
0.051513671875,
-0.030517578125,
-0.006591796875,
0.068359375,
-0.07958984375,
-0.0081787109375,
-0.056640625,
0.000934600830078125,
0.0208740234375,
0.01019287109375,
-0... | 10,360 | 10360 | |
Power and type I error rate of false discovery rate approaches in genome-wide association studies
Abstract
In genome-wide genetic studies with a large number of markers, balancing the type I error rate and power is a challenging issue. Recently proposed false discovery rate (FDR) approaches are promising
solutions to ... | 4 | [
-0.06298828125,
0.04931640625,
-0.01483154296875,
-0.0291748046875,
0.0267333984375,
-0.041015625,
-0.0771484375,
0.036376953125,
0.012451171875,
0.0019683837890625,
0.02490234375,
-0.033935546875,
0.021728515625,
-0.06298828125,
-0.0947265625,
0.05810546875,
-0.06982421875,
0.0615... | 10,361 | 10361 | |
How do you solve linear congruences?
April 23rd 2014, 06:58 AM #1
Newbie
Joined
Feb 2014
From
United States
Posts
21
How do you solve linear congruences?
Hi all,
So we just covered solving congruence's in my discrete 1 class. Our professor gave us 1 example in the notes, and to be honest it suck... | 5 | [
-0.06787109375,
-0.0064697265625,
-0.00347900390625,
-0.033447265625,
0.035888671875,
0.019287109375,
0.09130859375,
0.030517578125,
-0.08642578125,
-0.0030670166015625,
0.08349609375,
-0.023681640625,
0.03857421875,
0.00433349609375,
0.00787353515625,
-0.0341796875,
-0.095703125,
... | 10,362 | 10362 | |
Complex Equation Help!
So, I'm having trouble with these complex equations. Any help would be great! (2+3i)(3-4i) 2+i/3i 1+2i/1-i Thanks again.
Lets try something like your problems (3+4i)(1+2i) = 3*1 + 4i*1 + 3*2i + 4i*2i = 3 + 4i + 6i + 8i^2 = 3 - 8 + 10i = -5 + 10i. See how it's done? (3+4i) / ( 2+i ) = (3+4i)(2-i)... | 4 | [
-0.0986328125,
0.0223388671875,
-0.0004138946533203125,
0.0517578125,
-0.07421875,
-0.1044921875,
0.026123046875,
0.04052734375,
0.03759765625,
-0.05810546875,
0.0283203125,
-0.1162109375,
0.056640625,
0.0771484375,
-0.00848388671875,
-0.0419921875,
-0.00836181640625,
0.03393554687... | 10,363 | 10363 | |
Converge in probability of sample variance
September 25th 2012, 10:41 PM
usagi_killer
Converge in probability of sample variance
If we let $X_1, X_2, \cdots, X_n$ be independent and identically distributed observations from a population with mean $\mu$ and variance $\sigma^2$ then the weak law of large number st... | 4 | [
0.0108642578125,
-0.0615234375,
0.059326171875,
-0.00885009765625,
0.046630859375,
0.0299072265625,
0.0198974609375,
0.08154296875,
0.07763671875,
0.006134033203125,
0.00439453125,
0.1484375,
0.043701171875,
-0.11181640625,
-0.0181884765625,
-0.0274658203125,
0.031005859375,
0.0125... | 10,364 | 10364 | |
Algebra Puzzle
Date: 04/09/2001 at 18:26:47
From: Johann Matias H. L.
Subject: Hard equation
Okay, here you go... if this is true:
x + y + z = 1
x*x + y*y + z*z = 2
x*x*x + y*y*y + z*z*z = 3
find (without solving the equation):
x*x*x*x + y*y*y*y + z*z*z*z = ... | 4 | [
-0.10400390625,
0.020751953125,
-0.052001953125,
0.0927734375,
-0.05517578125,
0.00141143798828125,
0.037109375,
-0.10009765625,
-0.01458740234375,
-0.0125732421875,
-0.044677734375,
-0.033203125,
0.042724609375,
0.046630859375,
0.00058746337890625,
0.072265625,
-0.09423828125,
0.0... | 10,365 | 10365 | |
Simple Integral Question (I think it's simple)
February 13th 2010, 11:08 AM
s3a
Simple Integral Question (I think it's simple)
I am supposed to know this by heart and I do:
http://www.wolframalpha.com/input/?i=integral+(1%2F(x^2+%2B+1))
However, on a specific problem I'm having, I need to know to get th... | 5 | [
0.040771484375,
0.0283203125,
-0.0341796875,
0.053955078125,
0.05908203125,
-0.0022735595703125,
-0.041259765625,
0.034912109375,
-0.0341796875,
-0.06396484375,
0.0057373046875,
-0.01519775390625,
0.059814453125,
0.0296630859375,
-0.0478515625,
0.052001953125,
-0.0247802734375,
0.0... | 10,366 | 10366 | |
Math Forum Discussions - Re: Krukal-Wallis by Fisher´s random shuffling
Date: Mar 18, 2013 6:00 PM
Author: Luis A. Afonso
Subject: Re: Krukal-Wallis by Fisher´s random shuffling
Krukal-Wallis by Bootstrap sampling
Follow-up
The same data is treated as follows as it is required by the Bootstrap sampling: the three 8 s... | 4 | [
-0.11328125,
0.0198974609375,
0.021728515625,
-0.0103759765625,
0.0079345703125,
-0.032958984375,
-0.00110626220703125,
0.0032501220703125,
-0.0299072265625,
0.044677734375,
0.0042724609375,
0.0242919921875,
0.0125732421875,
-0.053466796875,
-0.000492095947265625,
-0.010009765625,
0.... | 10,367 | 10367 | |
Brahmagupta's Formula
Who was Brahmagupta?
Brahmagupta's formula provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral that is inscribed in a circle) with sides of length a, b, c, and d as
where... | 4 | [
-0.0155029296875,
0.1162109375,
-0.01153564453125,
-0.044189453125,
-0.09765625,
0.006103515625,
0.0184326171875,
0.0732421875,
-0.0006561279296875,
0.00506591796875,
-0.038330078125,
-0.0966796875,
0.0458984375,
0.006866455078125,
-0.032470703125,
-0.019775390625,
0.031005859375,
... | 10,368 | 10368 | |
he
Another fake climate skeptic has published a misleading article, disappointingly this time in the Washington Post.
Matt Rogers says that there has been a deceleration in surface warming
. To show this, he gives the first difference graph of both surface temperature data from
NASA
(GISTEMP) and
NOAA
(NCDC).
H... | 4 | [
-0.07568359375,
-0.0155029296875,
0.09033203125,
0.037841796875,
0.0262451171875,
-0.07568359375,
-0.0732421875,
0.09130859375,
-0.0216064453125,
0.055419921875,
0.01055908203125,
-0.042724609375,
0.07763671875,
-0.021240234375,
0.0096435546875,
-0.03955078125,
-0.080078125,
-0.080... | 10,369 | 10369 | |
solve 2sec2x-cot2x=tan2x
May 29th 2011, 06:41 AM #1
Newbie
Joined
Nov 2009
Posts
21
solve 2sec2x-cot2x=tan2x
solve 2sec2x-cot2x=tan2x i found it hard to solve this. plz help ..thx
I know that
cos2x = cost^2x - sin^2x
=1-2sin^2x
=2cos^x
tan2x = 2tanx/1-tan^2x
but not sure
\d... | 4 | [
0.00933837890625,
0.0162353515625,
0.0693359375,
0.08056640625,
0.01708984375,
0.04443359375,
-0.03076171875,
0.037841796875,
0.04296875,
0.03076171875,
0.031982421875,
-0.06640625,
0.03173828125,
0.023681640625,
0.0012664794921875,
-0.0081787109375,
0.04345703125,
0.03759765625,
... | 10,370 | 10370 | |
J-function of cotangent bundle of complete flag variety
up vote 2 down vote favorite
1
Givental and Kim showed that the $J$-function of the complete flag variety $Fl_n=SL_{n}/B$ becomes an eigenfunction of the Toda Hamiltonian. How about the $J$-function of the cotangent bundle $T^
*Fl_n$ of the complete flag variety?... | 4 | [
-0.11767578125,
0.01708984375,
0.02880859375,
0.0252685546875,
-0.000171661376953125,
0.0771484375,
0.01507568359375,
0.0556640625,
-0.09912109375,
-0.05615234375,
0.044189453125,
0.0238037109375,
-0.05419921875,
-0.020263671875,
0.05615234375,
0.006072998046875,
-0.05517578125,
0.... | 10,371 | 10371 | |
Data Management - Prob. Distributions
December 31st 2008, 12:04 PM
Faisal2007
Data Management - Prob. Distributions
A lottery ticket has a $1,000,000 first price,a $25,000 second, and 5 $1000
third prizes. a total of 2,000,000 tickets are sold. If a ticket costs $2.00, what is the expected profit per ticket ... | 4 | [
0.012939453125,
0.0849609375,
-0.009033203125,
-0.056396484375,
-0.0263671875,
-0.0201416015625,
0.11572265625,
0.02880859375,
0.01385498046875,
0.0673828125,
-0.023681640625,
-0.09033203125,
0.08056640625,
-0.01397705078125,
0.00946044921875,
0.0225830078125,
0.00010824203491210938,... | 10,372 | 10372 | |
Institute for Mathematics and its Applications (IMA)
For the model linear parabolic equation we propose a nonadaptive wavelet finite element space-time sparse discretization. The problem is reduced to a finite, overdetermined linear system of
equations. We prove stability, i.e., that the finite section normal equations... | 4 | [
-0.05322265625,
-0.0089111328125,
0.0712890625,
0.0031280517578125,
0.02197265625,
-0.055419921875,
-0.025146484375,
0.012451171875,
-0.017333984375,
-0.0206298828125,
0.028076171875,
-0.0079345703125,
0.02490234375,
-0.0225830078125,
-0.005889892578125,
-0.06640625,
-0.0164794921875... | 10,373 | 10373 | |
new to calculus--test monday--limits
January 31st 2009, 09:49 AM
obsmith08
new to calculus--test monday--limits
the limit as x approaches infinity of the square root of (4x^2 + 1)/8x + 7 equals....
This is what I have before I get lost...
1) I multiply by the conjugate to get 4x^2 + 1/8x+7 square root ... | 4 | [
0.031982421875,
0.0033416748046875,
0.049072265625,
0.0771484375,
-0.01129150390625,
-0.04296875,
-0.0400390625,
0.06689453125,
0.072265625,
-0.048095703125,
0.01202392578125,
-0.030517578125,
-0.003448486328125,
0.09130859375,
-0.0830078125,
0.0089111328125,
-0.0024566650390625,
-... | 10,374 | 10374 | |
probability
July 7th 2007, 05:08 PM #1
Newbie
Joined
Jul 2007
Posts
23
probability
Hi, I just can not get how to find the probabillity of this question.
A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, he has a 50% chance tha... | 4 | [
0.0040283203125,
0.06689453125,
-0.000362396240234375,
-0.00421142578125,
-0.05517578125,
-0.018310546875,
0.057373046875,
0.04296875,
0.004547119140625,
0.0303955078125,
0.017822265625,
-0.007476806640625,
0.0272216796875,
0.0296630859375,
-0.013427734375,
0.004547119140625,
-0.0206... | 10,375 | 10375 | |
(3n+1, 5n+2)=1
show that the integers $3n+1$ and $5n+2, n \in \mathbb{N}$, are relatively prime.
Let $d = \gcd (3n+1, \ 5n + 2 )$ and assume $d>1$. This implies: $d \mid 5(3n+1)$ and $d \mid 3(5n+2)$$\Big($Recall: if $d \mid a$ then $d \mid ca$ for all $c \in \mathbb{Z}$$\Big)$ which means: $d \
\ \Big| \ \Big[ 3(5n+... | 5 | [
-0.058837890625,
-0.006683349609375,
0.04150390625,
-0.09423828125,
0.09765625,
-0.00445556640625,
0.061279296875,
0.06689453125,
-0.078125,
-0.0166015625,
0.05126953125,
0.003631591796875,
0.019287109375,
0.00090789794921875,
-0.01300048828125,
-0.05712890625,
0.0064697265625,
0.0... | 10,376 | 10376 | |
Linear approximation
March 1st 2011, 09:53 PM #1
Member
Joined
Sep 2009
Posts
80
Linear approximation
Last one, guys...
"Given the function f(x,y)=x^2cos(xy)-5xy, estimate the value of f(3,97,0.025)."
My work:
fx(x,y) = 2x(cos(xy))-y(x^2sin(xy)+5)
fy(x,y) = -x(x^2sin(xy)+5)
So, f(... | 4 | [
-0.0225830078125,
-0.00439453125,
0.041259765625,
-0.00099945068359375,
0.0223388671875,
-0.0003566741943359375,
-0.048095703125,
0.005645751953125,
-0.0216064453125,
0.0576171875,
0.09130859375,
-0.04150390625,
0.0255126953125,
0.034912109375,
0.04541015625,
0.03955078125,
-0.090820... | 10,377 | 10377 | |
Homework Help
Posted by Haley on Tuesday, June 5, 2007 at 7:25pm.
I have a question on a quiz and I dont even know where to begin on figuring out the question... please help:
Measurements on the percentave of enrichment of 12 fuel rods used in a nuclear reactor were reported as follows:
3.11
2.88
3.08
3.01
2.84
... | 4 | [
0.08203125,
0.039794921875,
0.025634765625,
-0.01031494140625,
0.033935546875,
-0.041259765625,
0.041748046875,
0.12060546875,
0.0135498046875,
0.057861328125,
0.046630859375,
-0.06494140625,
-0.01904296875,
-0.013671875,
0.013427734375,
-0.029541015625,
0.061279296875,
-0.02465820... | 10,378 | 10378 | |
Analog Behavioral Modeling
LAPLACE {V(1)} {1/(s/6280 + 1)}
V... | 4 | [
-0.07470703125,
-0.0205078125,
0.0166015625,
0.0169677734375,
0.016357421875,
-0.045166015625,
-0.0986328125,
0.0712890625,
0.05810546875,
0.0233154296875,
0.06884765625,
-0.049072265625,
0.028076171875,
0.0291748046875,
0.055419921875,
-0.1318359375,
-0.0242919921875,
-0.022949218... | 10,379 | 10379 | |
in theory
Finally!
After a hiatus of almost four year, the
graduate computational complexity
course returns to Berkeley.
To get started, I proved Cook's non-deterministic hierarchy theorem, a 1970s result with a beautifully clever proof, which I first learned from Sanjeev Arora. (And that is not very well known.)
... | 4 | [
-0.03759765625,
-0.053466796875,
0.0216064453125,
0.00982666015625,
0.09033203125,
-0.02783203125,
-0.0255126953125,
-0.05322265625,
0.0576171875,
-0.006378173828125,
-0.0380859375,
0.00885009765625,
0.01312255859375,
0.038818359375,
0.0133056640625,
-0.0184326171875,
0.008056640625,... | 10,380 | 10380 | |
convergence in Lp, convergence for p smaller infinity
October 21st 2012, 03:21 AM #1
Junior Member
Joined
Oct 2012
From
Bonn
Posts
47
Thanks
1
convergence in Lp, convergence for p smaller infinity
Let X=[0,1] , A= $[0,1]\cap B$. (B is the Borel- $\sigma$ algebra), $\lambda$ the lebesgue measure. ... | 5 | [
0.0106201171875,
-0.06591796875,
-0.051513671875,
-0.0189208984375,
0.0771484375,
0.083984375,
0.10888671875,
0.0654296875,
-0.0177001953125,
-0.03955078125,
-0.0032806396484375,
0.0986328125,
-0.024169921875,
0.0181884765625,
-0.00872802734375,
-0.0556640625,
-0.0291748046875,
-0.... | 10,381 | 10381 | |
Standard Deviation
November 16th 2006, 04:20 AM #1
Newbie
Joined
Oct 2006
Posts
17
Standard Deviation
How would I work out the Standard Deviation and the RMSD of
X 3 4 5 6 7 8 9
f 2 5 8 14 9 4 3
Please show me the steps
Yeah I did but I still dont understand. Can someone show me how to... | 4 | [
0.03369140625,
-0.00494384765625,
0.1328125,
-0.03173828125,
-0.04150390625,
0.031005859375,
-0.015625,
0.06884765625,
0.00775146484375,
-0.0150146484375,
-0.03369140625,
-0.0216064453125,
0.04931640625,
-0.08349609375,
-0.0201416015625,
0.01544189453125,
-0.043212890625,
-0.004394... | 10,382 | 10382 | |
Whitehead doubles of any knots
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I was curious about the fact that the Whitehead doubles of all knots have Alexander polynomial equal to 1, which is the same as a unknot. How... | 5 | [
-0.09033203125,
0.05419921875,
0.0162353515625,
0.05126953125,
-0.076171875,
0.0213623046875,
0.0322265625,
-0.03369140625,
0.0306396484375,
-0.0220947265625,
-0.03271484375,
-0.01312255859375,
0.031982421875,
-0.032958984375,
-0.0537109375,
-0.0201416015625,
-0.1025390625,
0.00878... | 10,383 | 10383 | |
Excerpt from 3-D Schrodinger Eqaution...I'm stuck...
July 26th 2008, 08:58 PM
Chris L T521
Excerpt from 3-D Schrodinger Eqaution...I'm stuck...
I'm solving the Three Dimensional Schrodinger Equation, and there is a little part that I'm stuck on...
I'm starting with this DE:
http://img.photobucket.com/a... | 5 | [
-0.09912109375,
0.06787109375,
0.0537109375,
-0.016357421875,
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-0.140625,
0.00665283203125... | 10,384 | 10384 | |
Graphing Functions in MATLABIntroduction to MATLAB
Lab Graphing Functions in MATLAB
Welcome to the LAB component of Math 3046. Lets assume that you are logged into your personal computer or a Temple University (TU) computer. Now start MATLAB and Microsoft Word (or equivalent word
processor. If you are on your own comp... | 5 | [
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-0.012... | 10,385 | 10385 | |
The curious rotational memory of the Electron, Part 2
A spinning top keeps going because it has angular momentum, and the angular momentum arises because the top is made up of mass that is distributed around the axis of rotation. The angular momentum is
represented by a vector (well, a pseudovector really) directed alo... | 4 | [
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Q.Show that cos 1?, sin 1?, and tan 1? are irrational numbers.
INTERVIEW QUESTIONS GENERAL PUZZLES
Question :
Q.Show that cos 1?, sin 1?, and tan 1? are irrational numbers.
Category Puzzles Interview Questions
Rating
Added on 2/6/2012
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Answers:
Ans:
We will use appropriate multip... | 5 | [
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Total Differentiation; total mess.
May 13th 2010, 10:52 AM
DangerousDave
Total Differentiation; total mess.
Hello all,
A question about total differentiation is doing my head in. It is:
u = x^5 - 10x^3y^2 + 5xy^4 and y = 1 + x^2
It wants me to show that du/dx is some expression in x involving x's ... | 5 | [
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0.0... | 10,388 | 10388 | |
Using SPSS for Factorial, Between-Subjects Analysis of Variance
Calculate the appropriate statistic:
SPSS assumes that the independent variables are represented numerically. This is true for this data set. If it was not true, we would have to convert the independent variables from a string variable
to a numerical vari... | 4 | [
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-0.04760742187... | 10,389 | 10389 | |
Programming the Finite Element Method
More About This Textbook
Overview
This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their
own computer programmes to produce numerical res... | 5 | [
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Math Forum Discussions
Re: Bernoulli numbers and sqrt(1)+sqrt(2)+sqrt(3) + ... sqrt(1000)
Posted: Feb 18, 2013 12:40 PM
On 02/18/2013 07:17 AM, Gottfried Helms wrote:
> I've to correct some obvious typing errors:
>
> Am 18.02.2013 09:38 schrieb David Bernier:
>> On 02/18/2013 02:26 AM, Gottfried Helms wrote:
>>>
>>>
>... | 5 | [
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Two Elisp Challenges
I ran across a couple of nice interview questions and an interesting story over at Tanya Khovanova’s Math Blog. The two questions are:
1. Given a list of integers from 1 to n but with one of the integers missing, write an efficient algorithm for finding the missing integer.
2. Given a list of i... | 5 | [
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Homework Help
Posted by Candy on Thursday, March 8, 2012 at 4:10pm.
A box with an open top is to be made from a square piece of cardboard by cutting equal squares from the corners and turning up the sides. If the piece of cardboard measures 12 cm on the side, find
the size of the squares that must be cut out to yield ... | 5 | [
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radius of convergence
November 7th 2009, 06:08 AM #1
Member
Joined
Oct 2008
Posts
206
radius of convergence
I was trying to get the radius of convergence for the following question but get stuck along the way.
$\sum_{n=0}^\infty \frac{(n!)^k}{(kn)!}x^n$
By using ratio test:
$lim_{n\rightar... | 5 | [
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Posts about linear maps on Math ∩ Programming
Update: the mistakes made in the code posted here are fixed and explained in a subsequent post (one minor code bug was fixed here, and a less minor conceptual bug is fixed in the linked post).
In our last post in this series on topology, we defined the homology group. Spec... | 4 | [
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Solve in two different ways
September 25th 2011, 11:35 PM #1
Solve in two different ways
Solve in two different ways $\frac{dy}{dx}=xy^3-xy$.
-------------------------------------------------------------------------
Separable:
$\frac{dy}{dx}=x(y^3-y)$
$\frac{dy}{y^3-y}=xdx$
$\frac{dy}{y(y... | 5 | [
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Math Forum Discussions
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Topic: Projects for Self Schoolers
Replies: 1 Last Post: ... | 4 | [
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Math Forum Discussions
Re: Integer test for perfect square
Posted: Mar 12, 2009 4:26 PM
On Mar 12, 1:28 pm, Jack Schmidt <Jack.Schmidt.SciM...@gmail.com>
wrote:
> >>> Is there an integer test for a perfect square? Say
> >>> I have a large positive integer (1000 digits), and
> >>> I want to know if it's a perfect squar... | 5 | [
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0.09423828... | 10,398 | 10398 | |
Partitioning a Sum of Consecutive Odd Numbers and Perfect Cuboids
December 18th 2012, 12:16 PM #1
Newbie
Joined
Sep 2010
Posts
2
Partitioning a Sum of Consecutive Odd Numbers and Perfect Cuboids
A little background:
Say you have a pythagorean triple, which is a diophantine solution to the pythagorea... | 4 | [
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