content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J. Pryde. [With] Key
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J. Pryde. [With] Key (Google eBook)
Euclides
1860
We haven't found any reviews in the usual places.
Contents
FIRST BOOK PAGE 1
SECOND... | 4 | [
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-... | 11,300 | 11300 | |
Is this min not less than a min
up vote 1 down vote favorite
Let $\mathbf{D}$ be the unit disk, is $$\inf_{\begin{array}{c} v_{1},v_{2},v_{3},v_{4}\in\mathbf{D},\\ v_{0}\in\mbox{convexhull}\left(v_{1},v_{2},v_{3},v_{4}\right) \end{array}}\max_{0\le i,j,k\le4}\
frac{\mbox{perimeter}\left(\triangle v_{i}v_{j}v_{k}\right... | 5 | [
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0.021240234375,
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0.0283203125,
0.08203125,
0.0211... | 11,301 | 11301 | |
M
Each one of the mirror boxes is provided with some tiles, which are the right ones in order to see in the box a given picture (which will be a tessellation of the plane): some of these pictures
are shown on the walls of the box, so that the visitor knows in advance in which one of the three boxes he will be able to ... | 4 | [
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-0.0927734375,
-0.012756347656... | 11,302 | 11302 | |
Gram-Schmidt orthogonalization process
From: samah karim on 26 Mar 2010 05:39 i coded the process in MATLAB, it goes as follows:
function [F,G]=GramSchmidt(E,tol)
% Input: E is an m by n matrix of full rank m<=n
% tol: our zero tolerance
% Output: An orthogonal matrix F, the product of the Gram Schmidt process
% applie... | 4 | [
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... | 11,303 | 11303 | |
dy
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m4sandiego Group Title
how do you solve th... | 5 | [
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Find the square roots of the complex number `-80-18i ` and solve the following quadratic equation.... - Homework Help - eNotes.com
Find the square roots of the complex number `-80-18i ` and solve the following quadratic equation.
`4z^2+(16i-4)z+(65+10i) = 0`
Let
`sqrt(-80-18i)=a+ib`
squaring both side
`-80-18i=a^2... | 5 | [
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statistics (science) :: Numerical measures
statistics
Article Free Pass
Numerical measures
A variety of numerical measures are used to summarize data. The proportion, or percentage, of data values in each category is the primary numerical measure for qualitative data. The mean, median,
mode, percentiles, range, vari... | 4 | [
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... | 11,306 | 11306 | |
Acceleration vs Velocity
Velocity is the rate of displacement of an object. It is measured in m/s. Acceleration is the rate of change of velocity of an object. It is measured in m/s^2. They are both vector quantities i.e.
both magnitude and direction are required to fully specify them.
Comparison chart
... | 4 | [
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... | 11,307 | 11307 | |
Sequence of Integers
Date: 08/12/2008 at 09:45:16
From: Jessica
Subject: f(n + 3)f(n + 2) = f(n + 1) + f(n) + 18.
Find all functions f : Z+ --> Z+ such that for each n in Z+ we have
f(n) > 1 and f(n + 3)f(n + 2) = f(n + 1) + f(n) + 18.
I attempted to use the idea of one-to-one function and onto function,
but don't t... | 5 | [
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probability!
March 26th 2012, 01:53 AM #1
Member
Joined
Jul 2011
Posts
93
probability!
three-digit numbers are to be formed from 1,2,3,4 and 5. if repetition is not allowed how many can be formed?
what is the probability of selecting an odd number from the numbers formed in the above?
pls guys ... | 4 | [
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Math Help
How many zeros does the function y = sin(lnx) have for 0<x<1 ?
Hello, You know that if 0<x<1, ln(x)<0 But within $]- \infty;0[$ there is an infinity of solutions making sin(ln(x))=0, because of the 2pi period.
$\sin(\ln|x|)=0$ $\ln|x| = \sinh(0) \Rightarrow \ldots -\pi, 0, \pi \ldots$ $x = e^{\pi n}$ for $... | 5 | [
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Finding Magic Squares
Associated Topics || Dr. Math Home || Search Dr. Math
Finding Magic Squares
Date: 05/12/98 ... | 4 | [
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Graphing Linear Functions
Linear Functions: Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function. The domain of this function is the set of all real numbers. The range of f is the
set of all real numbers. The graph of f is a line with slope m and y intercept b.
Note: A functio... | 4 | [
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Demazure, lectures on p-divisible groups, III.5, Dieudonné modules (affine unipotent groups)
Definition
Let $\underline W$ denote the codirected system of affine commutative unipotent? $Acu_k$$k$-groups
$W_{1k}\stackrel{T}{\to}W_{2k}\stackrel{T}{\to}W_{3k}\stackrel{T}{\to}\cdots$
The Witt ring $W(k)$ operates on $\u... | 4 | [
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-0.0012054443... | 11,313 | 11313 | |
Barrington's Theorem
A few weeks ago Bill
complained
about how hard it is to get an electronic journal version of Barrington's theorem. Though Barrington's theorem was brand spanking new and exciting when I started graduate school in 1985 and it
remains one of my
favorite theorems
, it doesn't often get taught in m... | 4 | [
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Homework Help
Posted by Anonymous on Sunday, November 18, 2007 at 12:43am.
The radius of a circle is increasing at a nonzero rate, and at a certain instant, the rate of increase in the area of the circle is numerically equal to the increase in its circumstance. At this
instant, the radius of the cirle is...
Here is w... | 4 | [
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rank of outer product
up vote 0 down vote favorite
I would like to ask if you may know how to prove this claim or any theorem related:
Given 9 points (x,y,z) lie on unit sphere in 3 dimensional space such that any 4 points are not on the same plane. Let vector a = [1, x, y, z]. Form the 16x9 matrix A = [a1⊗a1, a2⊗a2,... | 4 | [
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Differences Method
Associated Topics || Dr. Math Home || Search Dr. Math
Differences Method
Date: 07/06/2001 at 0... | 4 | [
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Charged Particle Dynamics
Contents
Introduction
This article treats the motion of charged particles, mainly electrons or protons, in an external electromagnetic field, when classical, nonrelativistic mechanics is valid. The results can be applied
to the ionosphere, upper atmosphere, interplanetary space, dilute plas... | 4 | [
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0.0625,
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Calculat
Computing The ROI for IT Projects and Other Investments
ROI Formulas
Here are two formulas for calculating financial ROI for an IT project or any other investment. An example of how each formula is used is provided below.
The simple ROI calculation is commonly used for short-term (e..g., less than one yea... | 5 | [
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... | 11,319 | 11319 | |
P vs. NP, A Primer (And a Proof Written in Racket)
Decidability Versus Efficiency
In the early days of computing theory, the important questions were primarily about decidability. What sorts of problems are beyond the power of a Turing machine to solve? As we saw in our last
primer on Turing machines, the halting pro... | 4 | [
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... | 11,320 | 11320 | |
Math Forum Discussions
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Topic: normal probability plots
Replies: 0
normal pro... | 5 | [
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0.0205078125,
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0.00010156631469726562,
-0.026611328125,
0.03637695... | 11,321 | 11321 | |
Elementary Proof of Nakayama's Lemma?
up vote 14 down vote favorite
8
Nakayama's Lemma is as follows: Let $A$ be a ring, and $\frak{a}$ an ideal such that $\frak{a}$ is contained in every maximal ideal. Let $M$ be a finitely generated $A$-module. Then if $\frak{a}$$M=
M$, we have that $M = 0$.
Most proofs of this res... | 5 | [
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0.0625,
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0.09... | 11,322 | 11322 | |
Finding the height of a minimised cylinder.
March 7th 2009, 07:04 AM #1
Junior Member
Joined
Jan 2009
Posts
57
Finding the height of a minimised cylinder.
Hi,
The problem is:
given a cylinder (I prefer beer can) holding 1000 cubic cm. What should the radius and height be to minimise the surface ... | 5 | [
0.01031494140625,
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0.0703125,
0.0157470703125,
... | 11,323 | 11323 | |
Hess’ Law in Geology/Thermochemistry of Iron and its Ores
From ChemPRIME
Return to Hess' Law
Perhaps the most useful feature of thermochemical equations is that they can be combined to determine ΔH[m][] values for other chemical reactions. For example, iron forms several oxides, including
iron(II) oxide or wüstite ... | 4 | [
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0.00... | 11,324 | 11324 | |
Proof of the Rational Root Theorem
Date: 11/13/2000 at 15:57:53
From: Jacob Bucksbaum
Subject: Proof of rational root theorem
I have been asked to prove the Rational Root Theorem, and I am lost. I
was wondering if you could help?
Date: 11/13/2000 at 16:47:03
From: Doctor Rob
Subject: Re: Proof of rational root the... | 4 | [
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... | 11,325 | 11325 | |
Homework Help
Posted by Petronella on Sunday, October 4, 2009 at 3:17pm.
h=at-.25vtsquared ,solve for a
Please help me, I have no idea how to solve!
• Math - MathMate, Sunday, October 4, 2009 at 3:48pm
We try to isolate the target variable a on the left hand side of the equation.
h=at-(1/4)vt²
h-at =... | 4 | [
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Arithmetic and Geometric Sequences
Arithmetic and Geometric Sequences -- Sections 8.3/8.4 --
┌──────────────────────┬─────────────────────────────────────────────────────────────────┐
│ Arithmetic Sequence: │ is a sequence with a common difference, a[n] = a[1] + (n - 1)d │
│ │ where d is the com... | 4 | [
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... | 11,327 | 11327 | |
Math Forum Discussions
Re: Simplified Twin Paradox Resolution.
Posted: Jan 7, 2013 1:28 AM
On Jan 6, 5:47 am, "Paul B. Andersen" <some...@somewhere.no> wrote:
> On 6/01/2013 3:59 PM, Koobee Wublee wrote:
> > Instead of v, let?s say (B = v / c) for simplicity. The earth is
> > Point #0, outbound spacecraft is Point #1... | 4 | [
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0.037109375,
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0.037841796875,
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0.0152587890625,
-0.005126953... | 11,328 | 11328 | |
A fast parallel algorithm for finding the longest common sequence of multiple biosequences
Abstract
Background
Searching for the longest common sequence (LCS) of multiple biosequences is one of the most fundamental tasks in bioinformatics. In this paper, we present a parallel algorithm named FAST_LCS to
speedup the c... | 4 | [
-0.07470703125,
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... | 11,329 | 11329 | |
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Topic: [HM] Bombelli: Cube root of Complex Nos.
Replies: ... | 5 | [
-0.1376953125,
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0.03662109375,
0.047119140625,
-0.068359375,
-0.0032806396484375,
0.0634765... | 11,330 | 11330 | |
Calculate large Factorials
Reputation Points: 1,571 [?]
Q&As Helped to Solve: 1,900 [?]
Skill Endorsements: 68 [?]
Factorials get large very rapidly. The factorial of 13 is !13 = 1*2*3*4*5*6*7*8*9*10*11*12*13 = 6227020800. This number already exceeds the unsigned long integer, and gets into the real money as the
... | 4 | [
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-0.0272216796875,
0.00... | 11,331 | 11331 | |
pascal triangle
i am wondering if anyone knows an easy way to write a c++ program that asks for a number and then prints that row of the pascal triangle without displaying the rows before it. Thanks for any help
received
Google on the binomial theorem. You can do it with factorials (combinatorials).
Well, just calcul... | 4 | [
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... | 11,332 | 11332 | |
Binary tree properties - Balanced
up vote 1 down vote favorite
i am trying to understand the binary tree properties. But i am not sure about one thing:
The def. of a Binary trees states that:
1. A binary tree is balanced if for each node it holds that the number of inner nodes in the left subtree and the number of ... | 4 | [
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0.0625,
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0.06396484375,
0.00622558... | 11,333 | 11333 | |
Wheres this minus come from? :(
Completing this square here guys!
5x² + 5x + 11
Heres how i went through it;
5[x² + x] + 11
5[(x + 1/2)² - 1/4] + 11
5(x + 1/2)² - 5/4 + 11
5(x + 1/2)² + 39/4
but my book is giving me the answer of
5(x - 1/2)² + 39/4
and i really can't figure... | 4 | [
-0.044189453125,
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-0.0020294189453125,
-0.0022125244140625... | 11,334 | 11334 | |
Math Help
January 8th 2008, 04:03 AM #1
Newbie
Joined
Dec 2007
Posts
17
algebra
To sove a economic question i need to use algebra first.
P= - 1/4Qd+6.75
P = 1/2Qs + 2
So i got for the first step:
1/4 Qd = - p + 48
1/2 Qs = p - 2
but i need to get the 1/4 and 1/2 on the ri... | 4 | [
-0.04638671875,
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0.00433349... | 11,335 | 11335 | |
Bias in odds ratios by logistic regression modelling and sample size
Abstract
Background
In epidemiological studies researchers use logistic regression as an analytical tool to study the association of a binary outcome to a set of possible exposures.
Methods
Using a simulation study we illustrate how the analytical... | 4 | [
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0... | 11,336 | 11336 | |
BER for BPSK in ISI channel with MMSE equalization
In the past, we had discussed BER for BPSK in flat fading Rayleigh channel and BER for BPSK in a frequency selective channel using Zero Forcing Equalization. In this post, lets discuss a frequency
selective channel with the use of Minimum Mean Square Error (MMSE) equa... | 4 | [
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0.09228515625,
-0.01... | 11,337 | 11337 | |
Is two to the power of infinity more than infinity?
Do you know whether this inequality is true?
It’s a simple question, but with an intriguing and revealing answer.
Infinity #1
One concept of infinity that most people would have encountered in a math class is the infinity of limits. With limits, we can try to under... | 5 | [
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-0... | 11,338 | 11338 | |
1
Dynamic Itemset Counting and Implication Rules
for Ma... | 4 | [
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-0.035... | 11,339 | 11339 | |
How to Calculate Depreciation
With all of the rules and regulations governing depreciation, and the various methods of depreciation, one may find it difficult to actually calculate depreciation. This post will hopefully serve as
a basic comprehensive guide to calculating depreciation under different circumstances. T... | 4 | [
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-0.017822265625,
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0.... | 11,340 | 11340 | |
Set of Natural Numbers
Top
Any number which starts from 1 to any positive number, decimal Numbers and fraction numbers can be are included in Natural Numbers. The number 0 is also included as a natural numbers. For example: 1,
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1 2, 13 and so on, are all the Set of natural numbers.
In s... | 4 | [
-0.033203125,
0.0152587890625,
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0.01458740234375,
0.... | 11,341 | 11341 | |
The Equivalence of Energy: Heat, Mechanical, Electrical, &
The Equivalence of Energy: Heat, Mechanical, Electrical, & Light
NOTE
This manual describes the laboratory experiment used during the 1996 - 1997 academic year. S... | 5 | [
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-0.06494140625,
0.031005859375... | 11,342 | 11342 | |
Normal Distribution question
October 15th 2009, 06:03 PM
Oblivionwarrior
Normal Distribution question
I am stuck on this question, I don't exactly know how to approach it. Thanks for any advice.
The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distribu... | 5 | [
0.031005859375,
0.0625,
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0.0272216796875,
0.058349609375,
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0.052490234375,
-0.0... | 11,343 | 11343 | |
Notes on the Chebyshev Theorem
In 1737, Euler presented a novel proof of the infinitude of the primes, in showing that the harmonic sum of the primes diverges. Explicitly, Euler’s work furnishes the estimate
$\displaystyle\sum_{p \leq x} 1/p=\log \log x + O(1),$
in which the sum exhausts the rational primes at most ... | 4 | [
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-0.043212890625,
-0.0257568359375,
-0.0947265625,
-0.01025390625,
-0.02551269... | 11,344 | 11344 | |
Finding the LCM of Several Numbers
Date: 11/06/2003 at 14:32:36
From: Roxana
Subject: finding the lowest common denominator
Do the numbers 65, 55, 25, and 35 have a common denominator?
Multiplying them together, I get a bunch of different values.
Date: 11/10/2003 at 13:04:26
From: Doctor Jason
Subject: Re: finding... | 4 | [
0.0791015625,
0.00933837890625,
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0.00372314453125,
0.004547119140625,
-0.0556640625,
0... | 11,345 | 11345 | |
dy
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Here's the question you clicked on:
shannon342 Group Title
1. Part 1: Solve th... | 4 | [
0.0086669921875,
0.08544921875,
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-0.0172119140625,
... | 11,346 | 11346 | |
Sectors inside a square. Need to find the common area.
August 17th 2009, 10:12 AM
cybermaths
Sectors inside a square. Need to find the common area.
Hi,
this Q stumped me.(Worried)
It looks VERY simple but i couldnt solve it .
Please find the diagram below.
Please let me know if you have any ideas... | 5 | [
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0.058349609375,
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-0.050537109375,
-0.031982421875,... | 11,347 | 11347 | |
Binary Addition (2s Complement)
Date: 09/25/2001 at 19:22:53
From: Paul
Subject: Binary addition (2s complement)
Dear Dr. Math,
I was given a number in binary (10110111), and asked to convert first
to decimal using 2s complement, then to BCD (binary coded decimal). My
problem is in the understanding of how 2s compl... | 4 | [
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0.0031127... | 11,348 | 11348 | |
AP Physics B & C - Multiple Choice Practice Questions on Electromagnetic Induction
"Live as if you were to die tomorrow. Learn as if you were to live forever."
– Mahatma Gandhi
Let us discuss some multiple choice questions on electromagnetic induction.
Questions (1) and (2) are meant for AP Physics B as well as AP P... | 5 | [
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0.05908203125,
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-0.0235595703125,
0.043212890625,
-0.0400390625,
... | 11,349 | 11349 | |
Spectrum of transition matrix for symmetric random walk
up vote 4 down vote favorite
I asked this question previously on math.stackexchange.com, where it had little traction.
Consider the symmetric random walk on $\{0,1,…,n\}$ with transition probabilities $P(j→j±1)=1/2$ for $0 < j < n$ and $P(0→0)=P(0→1)=P(n→n)=P(n→... | 4 | [
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0.0081787109375,
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-0.0145263671875,
0.0546875,
-0.093... | 11,350 | 11350 | |
Derivation of Three Fundamental Masses and Large Numbers Hypothesis by Dimensional Analysis
Authors: Dimitar Valev
Three mass dimension quantities have been derived by dimensional analysis by means of fundamental constants – the speed of light in vacuum (c), the gravitational constant (G), the Planck constant
(h_bar)... | 4 | [
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0.0235595703125,
0.0231... | 11,351 | 11351 | |
Determining the value of summations using combinatorial mathematics
October 14th 2012, 01:20 PM #1
Newbie
Joined
Oct 2012
From
Enschede
Posts
2
Determining the value of summations using combinatorial mathematics
This is from my book on discrete and combinatorial mathematics, in the chapter about comb... | 4 | [
-0.0654296875,
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-0.0830078125,
0.0576171875,
0.029541015625,
0.042236328125... | 11,352 | 11352 | |
I asked the prof and still not direct answer
07-09-2003 #1
Registered User
Join Date
Jun 2003
Posts
73
I asked the prof and still not direct answer
Hereis my last problem for the week. I talked to the prof on email and still dont understand what he wants. I am going to post my problem and could someone e... | 5 | [
-0.05224609375,
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-0.041748046875,
-0.03564453125,
0.03564453125,
-0.109375,
0.0257568359375,
-0.04... | 11,353 | 11353 | |
Find x in Degrees, not Radians
Date: 01/14/98 at 11:26:59
From: Ronny
Subject: Trigonometry/Derivatives
Hi Dr. Math,
I Just have one quick question. We have learned in Math class that the
derivative of sin(x) is cos(x). My teacher said this implies that the
x is in radians, not degrees. My teacher gave us a homewor... | 5 | [
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0.109375,
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-0.0218505859375,
-0.0004425048828125,
-... | 11,354 | 11354 | |
Michael Shulman
Idea
The correct notions of regularity and exactness for 2-categories is one of the subtler parts of the theory of first-order structure. In particular, we need a suitable replacement for the
1-categorical notion of equivalence relation. The (almost) correct definition was probably first written down i... | 4 | [
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0.04150390625,
0.009... | 11,355 | 11355 | |
Proof that sum is rational number
May 28th 2006, 02:43 PM
OReilly
Proof that sum is rational number
I have to prove that
$\frac{1}{{\sqrt 1 + \sqrt 2 }} + \frac{1}{{\sqrt 2 + \sqrt 3 }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + ... + \frac{1}{{\sqrt {99} + \sqrt {100} }}$
is rational number.
I have one ide... | 4 | [
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0.0264892578125,
0.0537109375,
-0.076171875,
-0.0118408203125,
0.03662109375,
-0.01367... | 11,356 | 11356 | |
How to Calculate Mass Moment of Inertia of Irregular Shapes – Calculation Steps and Example of Mass Moment of Inertia
•
The mass moment of inertia is frequently used for mechanical design calculations of rotational bodies. Most of the time you will deal with regular geometries (like cylinders, spheres, etc.) for... | 5 | [
0.01116943359375,
0.059814453125,
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0.0615234375,
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0.0225830078125,
-0.00011777877807617188,
0.0089111328125,
-0.035888671875,
-0.0688476... | 11,357 | 11357 | |
The derivative of x to the x
Hi Cher,
Finding the derivative of x^x depends on knowledge of the natural log function and implicit differentiation.
Let y = x^x. If you take the natural log of both sides you get
y = x^x then
ln(y) = ln(x^x) = x ln(x)
Now differentiate both sides with respect to x, recalling t... | 5 | [
0.0274658203125,
-0.045166015625,
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0.0031585693359375,
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-0.11865234375,
0.02673... | 11,358 | 11358 | |
Distance from a Point to a Great Circle
Date: 05/24/2000 at 23:36:17
From: Dean Bellamy
Subject: 'Perpendicular' distance from point to great circle
Here's a variation on the "distance between two points specified by
latitude and longitude" problem that's frequently asked.
I have a great circle connecting two point... | 5 | [
-0.003082275390625,
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0.04150390625,
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0... | 11,359 | 11359 | |
Intersecting group orbits
up vote 3 down vote favorite
1
Given a group $G$ acting transitively on a set $X$ of $n$ points, consider the induced action on the set $\binom{X}{k}$ of $k$-element subsets of $X$. Obviously, if $k>n/2$, the orbit of any set is
intersecting, i.e., every two sets in the orbit intersect. How m... | 5 | [
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What's new
You are currently browsing the category archive for the ‘math.DG’ category.
Let ${f: {\bf R}^3 \rightarrow {\bf R}}$ be an irreducible polynomial in three variables. As ${{\bf R}}$ is not algebraically closed, the zero set ${Z_{\bf R}(f) = \{ x \in{\bf R}^3: f(x)=0\}}$ can
split into various components of d... | 4 | [
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0... | 11,361 | 11361 | |
Lyapunov Functions for Complex-Balanced Systems
guest post by Manoj Gopalkrishnan
A few weeks back, I promised to tell you more about a long-standing open problem in reaction networks, the ‘global attractor conjecture’. I am not going to quite get there today, but we shall take
one step in that direction.
Today’s pl... | 4 | [
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... | 11,362 | 11362 | |
Multiplying Combinations of a list of lists in R
up vote 4 down vote favorite
Given a list of two lists, I am trying to obtain, without using for loops, a list of all element-wise products of the first list with the second. For example:
> a <- list(c(1,2), c(2,3), c(4,5))
> b <- list(c(1,3), c(3,4), c(6,2))
> c <- li... | 4 | [
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0.051757... | 11,363 | 11363 | |
Math Forum Discussions
- Re: Volume Calculation for Liquid Inside Cylindrical Container (2 cases)
Math Forum
Ask Dr. Math
Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drex... | 5 | [
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Puzzle Solution
Comments 0
Last time, I posted a question sent to me by Rob Mount. So what solutions exist other than the north pole?
You did well: jnelso99 got part of the way there; tanoshimi finished it off. We can find a set of circles around the south pole with lengths of 1/N miles: 1 mile, 1/2 mile, 1/3 mile, e... | 5 | [
0.012451171875,
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0.0146484375,
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-0.044677734375,
... | 11,365 | 11365 | |
The force produced by a magnetic field
You're designing an electromagnet, for example, and need to calculate the number of turns, or you might already have a coil and want to know how hard it will pull on a nearby piece of iron. These are
simple questions. Although the answers are elusive this page outlines some gener... | 5 | [
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0.0233... | 11,366 | 11366 | |
Limit of an Infinite Series
Date: 18 Jul 1995 16:38:39 -0400
From: Juan Jose Cukier
Subject: Mathematical Analysis
Dear Dr. Math,
I am a student of computing and while studying for a final
exam of Mathematical Analysis, I came across the following question:
What is the limit of the following expression?
... | 5 | [
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0.046875,
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0.02587890625,
-0.0079345703125,
0.024169921875,
-0.060791015625,
-0.078... | 11,367 | 11367 | |
Distance to an Object
Date: 04/07/2000 at 01:50:17
From: Brent Pattison
Subject: Easy way to calculate distance using trigonometry
I'm a middle school teacher who wants to give his students some
hands-on application work in geometry. One idea I had was to get
students to measure the distance from one object to anoth... | 4 | [
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0.064453125,
... | 11,368 | 11368 | |
Linear equations - Summation convention
October 9th 2013, 12:21 PM
FilipVz
Linear equations - Summation convention
Hi, i want to show that zi=cij*xj, where cij=aik*bkj, if yi=bij*xj and zi=aij*yj. (i,j,k are subscripts).
I have been struggling with this for a week. Any help is appreciated, thanks in advance... | 5 | [
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0.19140625,
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0.07910... | 11,369 | 11369 | |
Substition vs completing the square on an irreducible polynimial of degree 4
August 13th 2012, 04:28 AM
kodx
Substition vs completing the square on an irreducible polynimial of degree 4
Find the all the roots of the polynomial x^4 + x^2 + 1.
The above is from an example in a text book. I attempted the quest... | 4 | [
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-0... | 11,370 | 11370 | |
Can you explicitly write R^2 as a disjoint union of two totally path disconnected sets?
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
An anonymous question from the 20-questions seminar:
... | 5 | [
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-0.033447265625,
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Sensors for Orientation Estimation
1. Introduction
CH Robotics AHRS and Orientation Sensors combine information from accelerometers, rate gyros, and (in some cases) GPS to produce reliable attitude and heading measurements that are resistant to
vibration and immune to long-term angular drift.
Part of what makes reli... | 4 | [
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0.031494... | 11,372 | 11372 | |
OFDM pilot allocation for sparse channel estimation
Abstract
In communication systems, efficient use of the spectrum is an indispensable concern. Recently the use of compressed sensing for the purpose of estimating orthogonal frequency division multiplexing
(OFDM) sparse multipath channels has been proposed to decreas... | 4 | [
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... | 11,373 | 11373 | |
Solving Quadratic Equations
Associated Topics || Dr. Math Home || Search Dr. Math
Solving Quadratic Equations
Dat... | 4 | [
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Math Help
A = {a, b, c} is the answer: A, empty set, {a}, {b}, {c}, {a,b} {b,c} {a,c}
Hello, NeedHelp18! List the subsets of: . $A \:=\: \{a, b, c\}$ Answer: . $\emptyset,\; \{a\},\; \{b\},\; \{c\}, \;\{a,b\},\; \{b,c\},\; \{a,c\},\;\{a,b,c\}$ . . . . Right! Here's way to ensure that
you have all the subsets . . . Fi... | 4 | [
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0.0018310546875,
0.0849609375,
-0.043212890625,
-0... | 11,375 | 11375 | |
WebDiarios de Motocicleta
This post is a fairly basic review of common probability notions. Things will get more interesting in future posts. Somebody who wants to do TCS but has not studied probability yet can read this post
carefully and reach about the same level of formal training that I've had :)
Say we distribu... | 4 | [
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0.00262451171875,
-0.0034942626953125,
-0.03662109375,
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-0.0390625,
0.0478515625,
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0.1337890625,
-0.051025390625,
... | 11,376 | 11376 | |
[SciPy-User] Lagrange Multipliers in optimize.slsqp
Guilherme P. de Freitas guilherme@gpfreitas....
Tue Mar 2 13:57:17 CST 2010
Just one note on this: the multipliers don't seem very accurate. On a
*very* simple problem, the multiplier was correct only up to the 2nd
decimal digit. Here is the problem:
minimize ... | 5 | [
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0.03515625,
0.017578125,
0.01458740234375,
-0.01068115234375,
-0.02294921875,
-0... | 11,377 | 11377 | |
arithmetic :: Fundamental theory
arithmetic
Article Free Pass
Fundamental theory
If three positive integers a, b, and c are in the relation ab = c, it is said that a and b are divisors or factors of c, or that a divides c (written a|c), and b divides c. The number c is said to be
a multiple of a and a multiple of b.... | 4 | [
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-0.087890625,
0.0208740234375... | 11,378 | 11378 | |
Peukert Effect
The Peukert Effect
Present in all batteries. Worst in lead acid
Motivation
If you're designing an EV (Electric Vehicle), choosing an EV to buy, or just driving an EV, it is worth your while, in big dollars and cents, to understand the Peukert Effect. The following
description requires high school ... | 4 | [
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0.0673828125,
-0.08935... | 11,379 | 11379 | |
Deciding whether or not an exponentially distributed random variable exists in a set via the use of a "black box" function
up vote 3 down vote favorite
1
I have some set of known size but with unknown elements, $(x_1, ..., x_N) \in X$, where the elements of $X$ are exponentially distributed random variables with unkno... | 5 | [
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0.0296630859375,
-0.07275390625,
... | 11,380 | 11380 | |
axisymmetric jet formula derivation
June 2nd 2010, 05:33 AM
morteza08
axisymmetric jet formula derivation
hi all
plz take alook to this pdf(attachment)...
section 4.3.1(axisymmetric jet)
i am lookng for the full derivation(with all details) of equation 4.3.16b
anybody can help me or give me a hin... | 4 | [
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0.01171875,
-0.0014495849609375,
0.053466796875,
-0.05078125,
-0.1279296875,... | 11,381 | 11381 | |
statistical estimators
February 2nd 2010, 10:40 PM
nycprincess
statistical estimators
I would really appreciate some help!
Suppose that a certain drug is to be administered to two different types of patients A & B. It is known that the mean response of patient of type A is the same as the mean response of p... | 5 | [
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-0.007293701171875,
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0.02880859375,
-0.08984375,
-0.03637695... | 11,382 | 11382 | |
Clarification of Gödel's second incompleteness theorem
up vote 13 down vote favorite
6
I am sorry for the following question, because the actual answer to this question is in the beautiful works of Feferman and Jeroslow, but, unfortunately, I havn't any time to go into that specific
field right now and maybe some of y... | 4 | [
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0.0126953... | 11,383 | 11383 | |
How many solutions are there to $\sum_{i=1}^3 x_i^2+x_iy_i+y_i^2=k$?
up vote 7 down vote favorite
Let $k$ be a positive integer. Let $$Q= \begin{pmatrix} 1 &1/2& & & & \\ 1/2& 1 & & & & \\ & & 1 &1/2& & \\ & &1/2& 1 & & \\ & & & & 1 &1/2\\ & & & &1/2& 1 \end{pmatrix}. $$
How many solution $x\in\mathbb Z^6$ are th... | 5 | [
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-0.024658203125,
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-0... | 11,384 | 11384 | |
Fast Fourier Transform (FFT) FAQ
The Fast Fourier Transform is one of the most important topics in Digital Signal Processing but it is a confusing subject which frequently raises questions. Here, we answer Frequently Asked Questions
(FAQs) about the FFT.
1. FFT Basics
1.1 What is the FFT?
The Fast Fourier Trans... | 4 | [
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Putnam Problem Notes
Hosted by The Math Forum
Problem of the Week 850
Putnam Problem Notes
... | 4 | [
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WebDiarios de Motocicleta
You might be wondering what caused the hiatus in posting CEOI problems. My modus operandi as a researcher is to induldge in whatever obsession I currently have. For the past week, the raging
obsession has been Problem 2 (tempered, of course, by the beaurocracy of joining AT&T).
Several peopl... | 4 | [
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Michael Sturtevant
... | 4 | [
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Chapter 2: Fibonacci / Harmonics | neoHarmonics.com
Chapter 2: Fibonacci / Harmonics
Quick History of Fibonacci
Leonardo of Pisa was known as the “greatest European mathematician of the middle ages”. He was born in Italy in about 1175 AD (not to be confused with Leonardo da Vinci, who lived about 200 years
after th... | 4 | [
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FXstreet.com Live Sessions Archives
Date: September 20, 2005 14:00GMT
Expert: Erik Long, President of Tetrahex and Principal of Ceres Capital LLC
Topics:
- We will discuss this useful indicator
- How it can be applied to all trading markets.
Who is Erik Long?
Erik Long has been active in the study of evolutionary fe... | 4 | [
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Find the Roots
April 6th 2008, 02:20 PM #1
Newbie
Joined
Apr 2008
Posts
2
Find the Roots
As the title states, find the roots of
x^2 + (k^2 +1 all over k)x + 1 = 0
I would perfer a solution using the quadratic formula.
Well first what are a,b, and c?
$a =1, b=\frac{k^2+1}{k}, c=1$
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Newton's Law Of Restitution
April 8th 2008, 03:31 AM
Simplicity
Newton's Law Of Restitution
I've done part (a) but cannot understand the method of how part (b) is done. I've written down the answer I obtained (which is correct) to part (a). Can someone help? Thanks in advance.
____________________
____... | 5 | [
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Solve for 'x' algebraically...difficult and need help?
January 7th 2009, 01:39 PM #1
Newbie
Joined
Jan 2009
Posts
1
Solve for 'x' algebraically...difficult and need help?
I need to know how to algebraically solve for 'x' in this equation:
Note: ' * ' denotes multiplication.
-2^(e*x)-x+2=0
... | 5 | [
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... | 11,393 | 11393 | |
Looking for formula for curved distribution
December 26th 2009, 03:18 AM
Zxurian
Looking for formula for curved distribution
I'm not sure what category this would fall under, but I'm assuming Applied Mathematics would fit. Apologies if it's not the correct forum.
I'm trying to find a formula to plug into ex... | 5 | [
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Set theoretic question about real valued functions
up vote 10 down vote favorite
4
It's a question I've been thinking about but I can't find an easy answer. I think it will be interesting. Can there be a countable collection of real valued functions $f_1, f_2 , ... $ such that for
any subset $K$ of $\mathbb R$ of card... | 5 | [
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dice
January 30th 2010, 12:34 AM
stressedout
dice
suppose that 2 balanced dice are tossed repeatedly and the sum of the 2 uppermost faces is determined on each toss. what is the porbabilty that we obtain a sum of 3 before we obtain a sum of 7.
my working:
since obtain 3 and 7 are independent,
P( ge... | 5 | [
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Deriving formula of arctan x derivative
December 11th 2009, 06:51 PM
ughintegrals
Deriving formula of arctan x derivative
hi all.
im kinda struggling with this assignment question.
the question asks me:
Starting from tan(arctan x) = x, derive the formula (arctan x)' = 1/(1+x^2)
i understand ho... | 5 | [
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Interesting Math League Problem
Click here to go to the NEW ... | 5 | [
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roots with multiplicity > 1 polynomials
October 15th 2012, 07:02 AM #1
Member
Joined
Jul 2009
Posts
111
Thanks
1
I was solving the problem listed here..
Polynomial x
I understood the logic behind the first line which says that "A root is of multiplicity 1 ==> the polynomial has a root in com... | 4 | [
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