content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Absolute Value: Consider Two Cases
Associated Topics || Dr. Math Home || Search Dr. Math
Absolute Value: Consider Two Cases
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Number "i"
Name: John A.
Status: student
Age: N/A
Location: N/A
Country: N/A
Date: N/A
Question: What is the equation that describes the following cyclical behavior of the number "i" ?
... | 4 | [
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NEWTON Atmospheric Buoyant Force
Atmospheric Buoyant Force
Name: Mike
Status: educator
Grade: 4-5
Location: WA
Country: USA
Date: winter 2013-14
Question: How much does our atmosphere buoy us up?
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Is this a textbook error or...
June 1st 2007, 04:42 AM #1
Newbie
Joined
Feb 2007
Posts
16
Is this a textbook error or...
I'm currently going through some questions in my textbook and came across a question on a quadratic and linear simultaneous equation.
Solve the equation:
x + y = 1
x^2 + y... | 4 | [
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Metrics on Words
We are about to begin a series where we analyze large corpora of English words. In particular, we will use a probabilistic analysis of Google’s ngrams to solve various tasks such as spelling
correction, word segmentation, on-line typing prediction, and decoding substitution ciphers. This will hopefull... | 4 | [
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A Way Of Finding Any Prime Number
Member
Registered: 2013-07-12
Posts: 91
Re: A Way Of Finding Any Prime Number
Member
Registered: 2013-07-12
Posts: 91
Re: A Way Of Finding Any Prime Number
Primenumbers wrote:
[All the primes in the series up to a point, multiplied together, multiplied ... | 5 | [
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Theory - Reservoir Routing
Hydraulic Theory
Reservoir Routing From the MIDUSS Version 2 Reference Manual - Chapter 8
(c) Copyright Alan A. Smith Inc.
Reservoir ro... | 4 | [
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Homework Help
Posted by Marla on Wednesday, February 3, 2010 at 10:35pm.
Four hundred people apply for three jobs. 130 of the applicants are women.
(a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.)
(b) If three persons are selected at r... | 4 | [
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3d pong physics
10-24-2004 #1
Registered User
Join Date
Dec 2002
Posts
221
3d pong physics
hey all, i've been working on a 3d version of pong, and i've got everything in and working correctly other than the reflection. is there a site, or can someone break down on the CORRECT way to do
this? i have s... | 4 | [
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ic
Application to Elimination Theory
Introduction Many problems in linear algebra (and many other branches of science) boil down to solving a system of linear equations in a number of variables. This in turn means finding common
solutio... | 5 | [
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Forecasting with Trend Lines using Microsoft Excel™
Introduction
The term trends implies a change over time. One type of forecasting is quantitative, and involves analyzing time-series data, and then predicting what the future might be.
For example, sales at an ice cream stand at the town park in June of eac... | 5 | [
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What's new
You are currently browsing the tag archive for the ‘Riemann hypothesis’ tag.
The Riemann zeta function ${\zeta(s)}$, defined for ${\hbox{Re}(s)>1}$ by
$\displaystyle \zeta(s) := \sum_{n=1}^\infty \frac{1}{n^s} \ \ \ \ \ (1)$
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Using observational data to estimate an upper bound on the reduction in cancer mortality due to periodic screening
Abstract
Background
Because randomized cancer screening trials are very expensive, observational cancer screening studies can play an important role in the early phases of screening evaluation. Periodic ... | 4 | [
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Representation rings of exceptional Lie groups
up vote 6 down vote favorite
2
Let $G$ be a compact Lie group and let $R(G)$ denote its complex representation ring. If $G$ is simply connected, such as $G_2$, $F_4$ or $E_8$, then it is known that $R(G)$ is a polynomial ring [F.
Adams, Lectures on Lie groups ('69), Theor... | 4 | [
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Generating Functions
February 12th 2010, 03:10 PM
pseudonym
Generating Functions
Hi can someone please help me with the following please:
Find the generating functions for the following sequences, express them in a closed form, without infinite sums:
(i) 1,2,1,4,1,8,1,16,1,...
(ii)1,1,0,1,1,0,1,1,... | 5 | [
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Functions that Describe Situations
1.12: Functions that Describe Situations
Difficulty Level: Basic Created by: CK-12
Practice Functions that Describe Situations
What if your bank charged a monthly fee of $15 for your checking account and also charged $0.10 for each check written? How would you represent this scenar... | 4 | [
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Physics 115 2012 Final Review Calculus is about “rates of change”
Physics 115 2012
Final Review
Calculus is about “rates of change”.
Calculus is about “rates of change”.
A TIME RATE is anything divided by time.
CHANGE is expressed by using the Greek letter, Delta, D.
The MEANING?
For example, if t = 2 seconds... | 4 | [
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Circle and Sphere Equation
Name: Daniel
Status: other
Age: 40s
Location: N/A
Country: N/A
Date: N/A
Question: I am trying to find an equation for the intersection of a circle and a sphere in 3 spa... | 5 | [
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Magnetic Deviation: Comprehension, Compensation and Computation (Part II)
With our electronic calculators and computers, we take for granted the effortless arithmetic and trigonometric calculations that so vexed our ancestors. Pre-calculated tables for roots and circular
functions, generated through hard work, were oft... | 4 | [
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Technical Sizing Information for Bag Filter and Filter Housings
Sizing of a liquid filter strainer / bag filter housing is a straight forward method. The required flow rate of filtration and the particle size retention are used to determine the pressure drop
through the combination of the housing and the strainer or b... | 4 | [
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Stationary distribution in general Markov Chains
up vote 0 down vote favorite
This is just a reference request for a result which is very general, useful and should be well-known, but I've failed to find a good reference to cite.
The problem is to define the "most natural" stationary distribution of a finite Markov C... | 4 | [
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Statistics
Table of Contents
Statistics
Snippet from Wikipedia: Statistics
Statistics is the study of the collection, organization, analysis, interpretation and presentation of data. It deals with all aspects of data including the planning of data collection in
terms of the design of surveys and exp... | 5 | [
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Autocorrelation, regression and temperatures
Temperature trends are much discussed, and less frequently their statistical significance. But there is a further question of what statistical significance means. It is tied up with the behaviour of
the deviations from the trend, and assumptions that may have been made about... | 4 | [
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The Stochastic Resonance Program (Part 1)
The Stochastic Resonance Program (Part 1)
guest post by David Tanzer
At the Azimuth Code Project, we are aiming to produce educational software that is relevant to the Earth sciences and the study of climate. Our present software takes the form of interactive web
pages, whic... | 4 | [
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Consecutive Seven
Copyright © University of Cambridge. All rights reserved.
Many of you approached this problem in the same way to start with. Maddie and Alex from The Mount School wrote:
We found out that 1+2+3+4+5+6...+20=210. Because we needed 7 different subsets that when added together made 7 consecutive numbers... | 4 | [
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A038589 - OEIS
A038589 Sizes of successive clusters in hexagonal lattice A_2 centered at lattice point. 4
1, 7, 7, 13, 19, 19, 19, 31, 31, 37, 37, 37, 43, 55, 55, 55, 61, 61, 61, 73, 73, 85, 85, 85, 85, 91, 91, 97, 109, 109, 109, 121, 121, 121, 121, 121, 127, 139, 139, 151, 151, 151, 151, 163, 163, 163,
163, 163, ... | 4 | [
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Newest 'laplace-equation' Questions
I need an explicit formula for the rotationally invariant solution of $\Delta u=0$ in cylindrical coordinate $(r,\theta,z)$ for a domain like $D=[0,2]\times [0,2\pi]\times [-2,2] - [0,1]\times ...
Consider a 2-d laplace equation $\Delta\Theta(x,z)=0$ with a corrugated bounda... | 4 | [
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Euler characteristic
The
Euler characteristic
of a
polyhedron
is
V
−
E
+
F
where
V
,
E
, and
F
are respectively the numbers of vertices, edges, and faces. (The name Euler is pronounced "oiler"; see
Leonhard Euler
).
The Euler characteristic of any polyhedron homeomorphic to a sphere is 2. For instan... | 4 | [
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geometric model for modal logics
Contents
Models in Modal Logics
To give the standard (geometric) semantics of modal logics, one needs models and these will be discussed here and in the companion algebraic models for modal logics.
(This outlines the basics of the semantics often called Kripke semantics of these logi... | 4 | [
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dy
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... | 4 | [
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-0.010681... | 13,729 | 13729 | |
Models for the Relationship Between Ambient Temperature and... : Epidemiology
ArticlePlus
Click on the links below to access all the ArticlePlus for this article.
Please note that ArticlePlus files may launch a viewer application outside of your web browser.
* http://links.lww.com/EDE/A225
Ambient temperature is a ... | 4 | [
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What's new
You are currently browsing the category archive for the ‘math.DG’ category.
Having classified all asymptotic gradient shrinking solitons in three and fewer dimensions in the previous lecture, we now use this classification, combined with extensive use of compactness and
contradiction arguments, as well as t... | 4 | [
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Simpson's Rule (Calculus)
April 25th 2007, 02:07 PM #1
Junior Member
Joined
Dec 2006
Posts
28
Simpson's Rule (Calculus)
If anyone could explain how the following is done, it would be greatly appreciated!
Use Simpson's rule with delta x = .1 to obtain an approximation for the integral of cos(x^2) dx ... | 4 | [
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Every countable model of set theory embeds into its own constructible universe
• J. D. Hamkins, “Every countable model of set theory embeds into its own constructible universe,” Journal of mathematical logic, vol. 13, iss. 2, p. 1350006, 2013.
@ARTICLE{Hamkins:EveryCountableModelOfSetTheoryEmbedsIntoItsOwnL,
... | 5 | [
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California Code of Regulations, Title 8, Section 3102. Hydraulic Plunger, Cylinder, and Piping Design.
This information is provided free of charge by the Department of Industrial Relations from its web site at www.dir.ca.gov. These regulations are for the convenience of the user and no representation
or warranty is m... | 4 | [
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Banach space
prove that, in a Banach space if $Sum||Xn||$ converges then $SumXn$ converges
prove that , in a Banach space if $\sum^{\infty}_{n=1}||Xn||$ converges then $\sum^{\infty}_{n=1}Xn$ converges.
Show that the sum is Cauchy, i.e. consider $S_k:=\sum_{n=1}^k X_n$, now consider $||S_k-S_l||$. Hint: If $\sum_{n=1... | 5 | [
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ng
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Now showing results 1-8 of 8
This resource shows how generations of explorers have taken us, step by step, further into the expanse of the universe. Using photographs and text, this resource takes readers out of our solar
system, into the realm of the stars, the galaxies, and... (View More) fin... | 4 | [
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Scientific Papers - Vi
1911] ON THE MOTION OF SOLID BODIES THROUGH VISCOUS LIQUID 37
corresponding to (37). Discarding the imaginary part, we get, corresponding to (36),
M' f°° F=-— - (kcosnt + k'sinnt)dn..................(38)
7T J0
Since k, k' are known functions of TO, or (a and v being give... | 4 | [
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Making a monad: Martin Erwig's Dist
Making a monad: Martin Erwig’s Dist
11Feb07
Much of statistical modelling involves shuffling around operations on stochastic variables — i.e. on their probability distributions. This can be tricky stuff: it either involves loads of manual
lifting with fully discrete distributions o... | 4 | [
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dy
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AriPotta Group Title
Best Respo... | 4 | [
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0.01251220703125,
-0.049560... | 13,739 | 13739 | |
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nynic819 Group Title
The circumference of ... | 4 | [
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0... | 13,740 | 13740 | |
The integrals of multivariable calculus
Multivariable calculus includes six different generalizations of the familiar one-variable integral of a scalar-valued function over an interval. One can integrate functions over one-dimensional
curves, two dimensional planar regions and surfaces, as well as three-dimensional vol... | 4 | [
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Sample Physics Chapter
Introduction to Momentum
When Isaac Newton originally formulated his Laws, he defined the “quantity of the motion” as the mass times the velocity; we now know this quantity as momentum, the subject of this chapter.
[notice]
new physical quantity: momentum
measured in: $latex \frac{[kilogram] ... | 5 | [
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Truncated Bi-Level Optimization
In 2012, I wrote a paper that I probably should have called “truncated bi-level optimization”. I vaguely remembered telling the reviewers I would release some code, so I’m finally getting around to
it.
The idea of bilevel optimization is quite simple. Imagine that you would like to m... | 4 | [
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Insanely Long Proofs
There are theorems whose shortest proof is insanely long. In 1936 Kurt Gödel published an abstract called “On the length of proofs”, which makes essentially this claim.
But what does ‘insanely long’ mean?
To get warmed up, let’s talk about some long proofs.
Long proofs
You’ve surely heard of t... | 4 | [
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"Nice" Solution to repeated integral
up vote 3 down vote favorite
I have a problem wherein I have defined a function $I_r(t) = \int e^{(2r-1)at} \int e^{(2r-3)at} \cdots \int e^{at} dt\cdots dt$, and $I_r(0) = 0$, for $r = 1,2,3,\ldots$.
I find that $e^{-ar^2t} I_r(t) = \left(1-e^{-at}\right)^r q(t)$, where $q(exp(-a... | 5 | [
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Equation of motion
(i) Following are of the equations of motion -
v = u + at
[]
v^2 = u^2 + 2as
(ii) The distance covered in n^th second –
[]
(iii) Above all the equations of ... | 4 | [
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... | 13,746 | 13746 | |
Questions of Probability
Date: 03/22/97 at 18:21:04
From: ac
Subject: Several questions on probability
Question 1. You are shown the following four cards. Each card has a
single positive integer 1, 2, 3, or 4 on each side, but you can see
only one side of each card. Some numbers may appear more than once.
How many ... | 4 | [
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... | 13,747 | 13747 | |
crossed square
Context
Higher category theory
Basic concepts
Basic theorems
Applications
Models
Morphisms
Functors
Universal constructions
Extra properties and structure
1-categorical presentations
Homological algebra
Contents
Idea
A crossed module is a bit like a normal subgroup … without being a subgrou... | 4 | [
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0.09375,... | 13,748 | 13748 | |
dy
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lovelymultani Group Title
The half-life of... | 5 | [
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Applications of Exponential Functions
8.7: Applications of Exponential Functions
Created by: CK-12
Learning Objectives
• Apply the problem-solving plan to problems involving exponential functions.
• Solve real-world problems involving exponential growth.
• Solve real-world problems involving exponential decay.... | 4 | [
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Is the equivalence between a $\Sigma^0_1$ and a $\Pi^0_1$ formula defining the same recursive set provable in a sufficiently strong arithmetic ?
up vote 5 down vote favorite
1
Let $A$ be a recursive set. $A$ is recursively enumerable, so $A$ may be defined by a $\Sigma^0_1$ formula, i.e. by $\exists \overrightarrow{a}... | 4 | [
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Relation between Hecke Operator and Hecke Algebra
up vote 9 down vote favorite
9
In the study of number theory (and in other branches of mathematics) presence of Hecke Algebra and Hecke Operator is very prominent.
One of the many ways to define the Hecke Operator $T(p)$ is in terms of double coset operator correspond... | 4 | [
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Algebra Archive | July 03, 2010 | Chegg.com
Algebra Archive: Questions from July 03, 2010
• Anonymous asked
1 answer
• gammabeta asked
1 answer
• Anonymous asked
0 answers
• Anonymous asked
2 answers
• Anonymous asked
0 answers
• Anonymous asked
2 answers
• Anonymous a... | 5 | [
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Coordinates of Relative Maxima or Minima
Date: 31 Dec 1994 17:58:13 -0500
From: Anonymous
Subject: math problem test
Hi ..... this is just a test.....
I heard you solve math problems... so I'm just playing......
given f(x) = 15 x^(2/3) + 5x, find coords of relative max or min.
and for what x values is the functio... | 5 | [
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Title page for ETD etd-05202009-113649
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┯━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
... | 4 | [
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least common multiplier
03-11-2003 #1
least common multiplier
I've ever writen a function returning `greatest common divisor'.
But now I need `least common multiplier' to carry on my project.
Please anyone suggest me its concept. In order that I can write it by myself.
Any help would be much apprecia... | 4 | [
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0.1328125,
-0.06... | 13,756 | 13756 | |
Magic Squares
Date: 10/19/2003 at 15:55:02
From: Thomas
Subject: Magic Squares
What is the size of the largest magic square that you are aware of
that has been constructed without repeating any numbers?
I am an amateur magician and a member of American Mensa. I have used
the trick wherein the magician guides the au... | 4 | [
0.09716796875,
0.072265625,
0.0052490234375,
-0.07763671875,
-0.0654296875,
-0.0026702880859375,
-0.01953125,
0.0019378662109375,
-0.08935546875,
0.006805419921875,
-0.0927734375,
0.06201171875,
-0.01470947265625,
-0.00408935546875,
-0.095703125,
-0.01092529296875,
0.0167236328125,
... | 13,757 | 13757 | |
measure space
Context
Measure and probability theory
Measure theory
Probability theory
Information geometry
Thermodynamics
Theorems
Integration theory
Analytic integration
Cohomological integration
Variants
Measure spaces
Idea
Measure spaces are used in the general theory of measure and integration, somewh... | 4 | [
-0.00994873046875,
-0.047119140625,
0.014404296875,
-0.0556640625,
0.033447265625,
0.03271484375,
0.1240234375,
0.059326171875,
0.09375,
0.025390625,
-0.000736236572265625,
-0.055419921875,
0.00836181640625,
0.037841796875,
0.00799560546875,
-0.05712890625,
0.0017242431640625,
0.03... | 13,758 | 13758 | |
Matlab into C Function
08-12-2011 #1
Registered User
Join Date
Apr 2008
Posts
190
Matlab into C Function
Hi I have written a function in matlab that I now want to convert to C. However Matlab has matrices functions where C does not. I have converted the function and I now think that the two should
be... | 4 | [
-0.0517578125,
0.0361328125,
-0.08935546875,
0.0020294189453125,
-0.04638671875,
0.04638671875,
-0.030517578125,
0.111328125,
-0.010498046875,
0.0240478515625,
0.06982421875,
-0.052978515625,
0.00830078125,
0.0260009765625,
-0.06396484375,
-0.00921630859375,
-0.068359375,
-0.013305... | 13,759 | 13759 | |
Intersection of Circles
Date: 01/16/2002 at 06:36:21
From: Peter Knoben
Subject: Intersection of circles
I have two circles, one with radius R and centerpoint (a,b) and one
with radius r and centerpoint (c,d). These two circles intersect. How
can I find the coordinates of the intersection point(s)?
I already tried ... | 4 | [
-0.02783203125,
-0.0164794921875,
-0.068359375,
0.01080322265625,
0.021484375,
0.014892578125,
-0.054931640625,
0.07080078125,
0.0888671875,
-0.016357421875,
0.025634765625,
-0.0289306640625,
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0.061279296875,
0.080078125,
0.0218505859375,
-0.12109375,
0.017822265625... | 13,760 | 13760 | |
The Grumpy Economist
Today another little note that I discovered while teaching. Warning: this will only be of any interest at all to time-series finance academics. I'll try to come back with something practical soon!
Does the predictability of stock returns from variables such as the dividend yield imply that stocks ... | 4 | [
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-0.07080078125,
0.000858306884765625,
0.11767578125,
0.091796875,
0.083984375,
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0.0322265625,
0.044677734375,
-0.00604248046875,
0.10888671875,
-0.00171661376953125,
0.007476806640625,
-0.0247802734375,
-0.06787109375,
0.0126953125,
0.03... | 13,761 | 13761 | |
angle between two lines
angle between two lines
The angle between two lines in a plane is defined to be
•
•
If $\theta$ denotes the angle between two lines, it always satisfies the inequalities
$\displaystyle 0\leqq\theta\leqq\frac{\pi}{2}.$ (1)
If the slopes of the two lines are $m_{1}$ and $m_{2}$, the... | 4 | [
-0.0908203125,
-0.0478515625,
0.00004673004150390625,
-0.05224609375,
0.038818359375,
-0.029541015625,
-0.00160980224609375,
0.061279296875,
0.038330078125,
0.005523681640625,
0.06201171875,
-0.02490234375,
0.0693359375,
0.02392578125,
-0.036376953125,
0.10693359375,
-0.041748046875,... | 13,762 | 13762 | |
Derivation of Law of Sines and Cosines
Date: 11/02/97 at 14:58:12
From: Yuan Tao
Subject: Derivation of law of Sines and Cosines
How do you derive the law of sines and the law of cosines?
Date: 11/03/97 at 14:31:23
From: Doctor Pete
Subject: Re: Derivation of law of Sines and Cosines
Generally, there are several ... | 4 | [
-0.1279296875,
0.1484375,
-0.008056640625,
0.0032958984375,
0.002838134765625,
0.035400390625,
-0.0174560546875,
0.01116943359375,
-0.0059814453125,
0.04931640625,
0.0225830078125,
-0.0703125,
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0.04736328125,
0.0029449462890625,
0.00201416015625,
-0.11767578125,
0.0... | 13,763 | 13763 | |
How Shock Model Analysis relates to CO2 Rise
How Shock Model Analysis relates to CO2 Rise
I would rate the graph below as one of the
most famous charts
in the annals of science, rivalled only by its close kin, the "hockey stick" graph ( the sketch of Hubbert's Peak is an also-ran in this contest):
From just a tech... | 4 | [
-0.10595703125,
-0.051025390625,
0.07568359375,
0.0732421875,
0.10009765625,
0.00762939453125,
-0.1162109375,
0.1865234375,
0.006561279296875,
-0.034423828125,
-0.059326171875,
-0.0712890625,
-0.0211181640625,
-0.01806640625,
-0.000438690185546875,
-0.022216796875,
-0.04296875,
-0.... | 13,764 | 13764 | |
Find an expression for the electric potential at the center of the triangle
The voltage potential for the system can be found with the following equation:
V = ke * (q1/r1 + q2/r2)
Using the geometry of the triangle, you can conclude that the distance of the charges to the center of the triangle is d / squareroot(3)
... | 5 | [
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0.083984375,
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-0.07080078125,
0.0164794921875,
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0.068359375,
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0.087890625,
0.046630859375,
-0.0235595703125,
-0.06396484375,
-0.00970458984375... | 13,765 | 13765 | |
Full factorial example
5. Process Improvement
5.3. Choosing an experimental design
5.3.3. How do you select an experimental design?
5.3.3.3. Full factorial designs
5.3.3.3.2. Full factorial example
A Full Factorial Design Example
An example of a full factorial design The... | 4 | [
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-0.03857421875,
0.0218505859375,
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0.0018768310546875,
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-0.0546875,
0.022216796875,
-0.00823974609375,
0.0693359375,
0.0791015625,
-... | 13,766 | 13766 | |
Help With Recursion!!!!
12-16-2001 #1
Unregistered
Guest
Help With Recursion!!!!
Whats the result if N = 5? I dont understand recursion. Can you also show me the steps? Thanks in Advance!
int Fibonacci(int N)
{
if ((N == 1) || (N == 2)) // base cases
return(1);
else // recursive cases
ret... | 4 | [
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0.0341796875,
0.03857421875,
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0.012939453125,
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0.0361328125,
-0.01226806640625,
0.0286865234375,
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-0.003387451171875,
-0.1240234375,
-0.0301513671875,
-0.1171875,
0.00500... | 13,767 | 13767 | |
dy
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heathernelly Group Title
awesomeeee.
• ... | 4 | [
-0.0106201171875,
-0.0186767578125,
-0.04736328125,
0.0303955078125,
-0.031494140625,
0.033203125,
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-0.0169677734375,
0.0458984375,
0.06591796875,
-0.0537109375,
-0.00... | 13,768 | 13768 | |
Product Rule of Logarithms - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Product Rule of Logarithms - Concept 15,305 views
In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. For this we use a co... | 4 | [
-0.005157470703125,
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0.042724609375,
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0.06689453125,
0.06298828125,
0.0634765625,
0.1337890625,
-0.103515625,
0.09326... | 13,769 | 13769 | |
Identification of genes and variants associated with quantitative traits using Bayesian factor screening
Abstract
We propose a factor-screening method based on a Bayesian model selection framework and apply it to Genetic Analysis Workshop 17 simulated data with unrelated individuals to identify genes and SNP
variants ... | 4 | [
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0.0751953125,
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... | 13,770 | 13770 | |
Euler's Formula for Polyhedra
Date: 08/12/97 at 12:20:57
From: Jonah Knobler
Subject: Euler's Formula for Polyhedra
Dear Dr. Math,
How would you prove Euler's formula V-E+F = 2 for all polyhedra of
genus zero? I have seen proofs of this, but they all talk about
graphs vs. trees and loops in graphs and other things... | 4 | [
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0.0... | 13,771 | 13771 | |
Future Value of Simple Interest and Compound Interest Investigation
Future Value of Simple Interest and Compounded Interest Investigation
By: Amanda Sawyer
At Cha... | 4 | [
0.00830078125,
0.0791015625,
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0.04077148... | 13,772 | 13772 | |
Jacob Simmering
Aug 29, 2013
TV Show Cancellations: Myths and Models
TV shows are amazing ways to waste time and, on occasion, the story is so good that you actually start to care. The problem is that some shows get cancelled before they jump the shark. Classic
examples are shows like Firefly or Arrested Development.... | 4 | [
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... | 13,773 | 13773 | |
Sequences and Series
Using Excel© to Explore
Sequences and Series
... | 5 | [
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-0.0... | 13,774 | 13774 | |
Voltage Drop
Ohm's law and calculating voltage drop
Voltage drop can be calculated using Ohm's law like
E = R I (1)
where
E = voltage drop (volts, V)
R = electrical resistance (ohms, Ω)
I = current (amps, A)
Example - Voltage Drop
Voltage drop in a 100 ft power line:
can be calculated as
... | 5 | [
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0.076171875,
0.007354736328125,
0.051025390625,
0.005828857421875,
-0.042236328125,... | 13,775 | 13775 | |
Is $e^p\in\mathbb{Q}_p$ known to be transcendental?
up vote 6 down vote favorite
$\sum\limits_{n=0}^{\infty}\dfrac{1}{n!}$ doesn't converge in $\mathbb{Q}_p$, however, $e^p:=\sum\limits_{n=0}^{\infty}\dfrac{p^n}{n!}$ does converge for $p\neq 2$. So my question is,
Are $e^p\in\mathbb{Q}_p$ for $p\neq2$ (and $e^4\i... | 5 | [
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-0.016357421875,
-0.04296875,
0.0169677... | 13,776 | 13776 | |
at
You are currently browsing the tag archive for the ‘Haar measure’ tag.
In 1964, Kemperman established the following result:
Theorem 1 Let ${G}$ be a compact connected group, with a Haar probability measure ${\mu}$. Let ${A, B}$ be compact subsets of ${G}$. Then
... | 5 | [
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The Math and Physics of Billiards
SHOT
For the purposes of my program, I am equating the motion of drawing the cue back to that of pulling on a spring. This assumes that the distance the cue is drawn away from the cue ball is directly
proportional to the desired power of the shot, which is usually the case. Using Hoo... | 4 | [
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0.01312255859375,
0.... | 13,778 | 13778 | |
Advanced math in precompiling?
09-20-2007 #1
Algorithm engineer
Join Date
Jun 2006
Posts
286
Advanced math in precompiling?
Hi, is there a possibility to use advanced math functions during the pre-compiling? For example, I have defined D_TYPE, currently to unsigned int, D_BITS to (sizeof(D_TYPE)*8), then... | 5 | [
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0.10498... | 13,779 | 13779 | |
dy
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kaiteDID Group Title
Solve the equations b... | 4 | [
-0.1015625,
-0.01031494140625,
0.0625,
-0.0179443359375,
0.034912109375,
-0.001617431640625,
0.0033111572265625,
0.0184326171875,
-0.06103515625,
0.01904296875,
0.062255859375,
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0.05615234375,
0.060546875,
0.08740234375,
-0.087890625,
-0.0693359... | 13,780 | 13780 | |
Sum of reciprocals of Prime Numbers
April 21st 2009, 10:19 AM #1
Newbie
Joined
Sep 2008
Posts
13
Sum of reciprocals of Prime Numbers
Hello,
Could anyone please give me a proof using basic/elementary number theory and or calculus of the following:
The sum of the reciprocals of primes is approxim... | 5 | [
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0.04736328125,
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-0.1005859375,
-0.039794921875,
0.029052734375,
-0.03955078125,
... | 13,781 | 13781 | |
dy
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zbowman75 Group Title
Let V be the set of ... | 5 | [
-0.045166015625,
-0.0234375,
-0.0238037109375,
-0.007171630859375,
0.033447265625,
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-0.0035400390625,
-0.03857421875,
-0... | 13,782 | 13782 | |
how to calculate 1:2:4 ratio concrete cement, sand, metal
and water pleas
how to calculate 1:2:4 ratio concrete cement, sand, metal
Question and water please give me brief calculation
Question Submitted By :: Civil-Engineering
I also faced this Question!! ... | 4 | [
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0.028076171875,
0.000156402587890625,
-0.0053... | 13,783 | 13783 | |
Poincaré sphere
nLab
Poincaré sphere
The Poincaré sphere is a “fake” 3-dimensional sphere: it is a smooth 3-dimensional manifold which has the same homology as the usual 3-sphere, but which is not homeomorphic to it.
Specifically, it is obtained as $SO(3)/I$ where $I$ is the icosahedral group of rotations (the subgro... | 4 | [
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-0.036376953125,
... | 13,784 | 13784 | |
Bernstein problem in differential geometry
From Encyclopedia of Mathematics
2010 Mathematics Subject Classification: Primary: 53A10 [MSN][ZBL]
It is a well-known and elementary fact in complex analysis that a bounded and holomorphic function on the whole plane (cf. also entire function) must be a constant (cf. Liouv... | 4 | [
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-0.0... | 13,785 | 13785 | |
There Are 4 Strain Gages To Measure The Torque ... | Chegg.com
Strain Gages and Wheatstone Bridges
There are 4 strain gages to measure the torque on a shaft. Two gages are under compressive strain and two are under tensile strain. You can assume that the magnitude of ?R is the same for all the
gages and that all the... | 4 | [
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swin2013 Group Title
Integral with U sub!
... | 4 | [
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Can I bound the degree of a contracting homotopy in an exact filtered complex?
up vote 2 down vote favorite
Suppose that I have given you a bigraded vector space $V = \bigoplus_{i,j} V_{i,j}$. The first grading is a "homological" $\mathbb Z$-grading, and the second is an independent $\mathbb Z$-grading.
Furthermore, I... | 5 | [
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Similar Triangles and
Back to the Table of Contents
A Review of Basic Geometry - Lesson 13
Similar Triangles and An Intro. to Trigonometry
Lesson Overview
Last... | 4 | [
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ordered field
Ordered fields
Idea
An ordered field is a field equipped with a compatible linear order.
Note that while the adjective ‘ordered’ usually refers to a partial order, it is traditionally used more strictly when placed before ‘field’.
Definition
An ordered field is a field $K$ equipped with a linear orde... | 5 | [
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StClowers Group Title
A clinical trial tes... | 5 | [
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Converging Product
Copyright © University of Cambridge. All rights reserved.
'Converging Product' printed from http://nrich.maths.org/
It is well known that if $| x | < 1$ then $$1 + x + x^2 + \dots + x^n =\frac{1 - x^{n+1}}{1 - x}$$ and hence (taking limits) we have the sum of the infinite geometric series $$1 + x ... | 4 | [
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Equations - Al and his father
Date: 06 Dec 94
From: Rich Allaire/NJ
Subject: help
Can you please help? My son and I differ on his homework.
It was: Write an equation for each problem then solve it.
(I'm only sending one.)
Al's father is 45 years old. This is 15 more than twice Al's age.
How old is Al?
Thanks - Ri... | 4 | [
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Calculating the Present Value of an Ordinary Annuity (PVOA) | AccountingCoach
Calculating the Present Value of an Ordinary Annuity (PVOA)
In this section we will solve four exercises that calculate the present value of an ordinary annuity (PVOA). We will use PMT ("payment") to represent the recurring identical cash pa... | 4 | [
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K2 Electricity
In order to compute the energy (ability to do work) of electric charges at rest, we consider a body K with a positive unit charge, which is somewhere at rest, isolated and far away from other bodies.
We now bring... | 5 | [
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th
Keyah Math Module 5, Level 2
Mathematical Content : Circumference of a circle, geometry, volume of a sphere
Objective: Use the method of Eratosthenes to make an estimate of the circumference of the Earth using locations in Arizona; use this estimate to compute its radius and volume
Eratosthenes’ Measurement of t... | 4 | [
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Midpoints and Bisectors
1.4: Midpoints and Bisectors
Created by: CK-12
Learning Objectives
• Identify the midpoint of line segments.
• Identify the bisector of a line segment.
• Understand and use the Angle Bisector Postulate.
Review Queue
1. $m\angle SOP = 38^\circ$$m\angle POT$$m\angle ROT$
2. Find the s... | 4 | [
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etale cohomology
Context
Cohomology
Special and general types
Special notions
Variants
Operations
Theorems
Étale morphisms
Contents
Idea
Traditional étale cohomology (e.g. Deligne 77) is the abelian sheaf cohomology for sheaves on the étale site of a scheme – which is an analog of the category of open subsets... | 4 | [
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mathematics :: Geometry
mathematics
Last Updated
The geometric problems in the papyri seek measurements of figures, like rectangles and triangles of given base and height, by means of suitable arithmetic operations. In a more complicated problem, a
rectangle is sought whose area is 12 and whose height is 1/2 + 1/4 ti... | 4 | [
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