content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Piecewise Linear Functions
By T. Barron & S. Kastberg
Lesson 4
... | 4 | [
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Running Product in DAX: Calculating Portfolio Returns
December 19, 2012 5 Comments
Recently a friend of mine asked me how to calculate investment rates of return in PowerPivot. In order to do this, one must be able to run over a list of values using a multiplication. Currently, DAX
does not have a ProductX or Multipl... | 5 | [
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Regularized Minimax for Robust Learning
This post is about using minimax estimation for robust learning when the test data distribution is expected to be different from the training data distribution, i.e learning that is robust to data
drift.
Cost Sensitive Loss Functions
Given a training data set $D = \{x_i, y_i\}... | 4 | [
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Non-autonomous system of ODE's
November 3rd 2012, 01:07 PM
wsldam
Non-autonomous system of ODE's
$\frac{dx}{dt} = ay - bx + f(t)$
$\frac{dy}{dt} = cx - dy + g(t)$
$a,b,c,d \in \mathbb{R}$ and $f(t),g(t)$ are continuous functions of $t$
Is anyone familiar with a possible method to solve such a syst... | 5 | [
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Scientific Papers - Vi
1911] HYDRODYNAMTCAL NOTES 7
Consider first an infinite series of simple stationary waves, of which the energy is at one moment wholly potential and [a quarter of] a period later wholly kinetic. If t denote the time ... | 4 | [
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Homework Help
Posted by Gummy on Saturday, April 6, 2013 at 1:08pm.
2. In 2009 a random sample of 70 unemployed people in Alabama showed an average weekly benefit of $199.65. In Mississippi, for a random sample of 65 the number was $187.93. Assume population standard
deviations of $32.48 and $26.15 respectively.
a. U... | 4 | [
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Probability estimation
This is a discussion on Probability estimation within the General Discussions forums, part of the Community Boards category; Let's say I have a 6-sided dice and I want to accurately estimate the
probability of throwing a six by ...
Let's say I have a 6-sided dice and I want to accurately estimat... | 5 | [
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[qupqknlc] Greedy leap years
Leap day every 4 years.
Omit leap day every 33*4=132 years.
Keep leap day every 100*33*4=13200 years.
This sequence of multipliers [4,33,100] were found by the greedy method. The entire cycle has the same average year length as the Gregorian calendar = 365 + 97/400 days, which uses multipl... | 4 | [
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Critical Points - Problem 3
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Critical Points - Problem 3 3,904 views
Critical points of a function are where the derivative is 0 or undefined. To find critical points of a function, first calculate the derivativ... | 5 | [
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Are loop spaces of homotopically equivalent spaces homotopically equivalent?
up vote 1 down vote favorite
1
Let $f:X \to Y$ be a homotopy equivalence of pointed topological spaces.
Then, is the induced map of pointed loop spaces $\Omega (f): \Omega X \to \Omega Y$ a homotopy equivalence?
Here, loop spaces are equipp... | 5 | [
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Previous
Some interesting considerations
• In fig. 1, we can see that triangles A'BC' and ABC are similar.
• In fig. 2, we can see that AC' and AE' are tangent to the circle with center O[3]. The segment O[3]A represents then the symmetry axis along which the right triangle AO[3]D is reflected on AE'.
W... | 4 | [
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Adding and Subtracting Powers on the GMAT
First, consider this practice problem:
If this problem makes your head spin, you have found the right blog article!
Operations with powers
There are legitimate laws of exponents for multiplying and dividing powers. For example:
Multiplying powers means add the exponents and... | 4 | [
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Degree of Curvature
curvature is the reciprocal of the radius, so that a smaller curvature implies a large radius. A curve of large radius, as for a railway, cannot be laid out by using the radius directly. We will see
how the problem of laying out a curve of large radius is solved. In American railway practice, the r... | 5 | [
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Earthquake 1 - posted February 1, 2000
A Math Forum Project
ESC... | 4 | [
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Prove or disprove?
Posted by Jerry on Tuesday, November 13, 2012 at 9:47am.
cos(X+pi/6) + sin(x-pi/3) = 0
I am working with one side but I am not sure if I can subtract at all here.
• Prove or disprove? - Reiny, Tuesday, November 13, 2012 at 10:08am
To see if it is an identity, pick any value of x
e.g. x ... | 4 | [
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Homework Help
Posted by -Untamed- on Thursday, November 24, 2011 at 9:14pm.
Find the Zeros of the following functions
f(x) = x/3 +5
^ That one is layed out so differently I don't understand how to solve.
In each of the following, determine the zeros of the function and determine the y-intercept of the graph of the ... | 4 | [
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Triangle Inequality
September 20th 2011, 03:14 PM #1
Newbie
Joined
Sep 2011
Posts
1
Triangle Inequality
Hi, sorry if this is the wrong area I wasn't sure where to put it.
I did a question:
Determine whether the inequality is an identity. [Hint: Use the Triangle Inequality ( |a+b| <= |a| + |b|) ... | 4 | [
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Compute median of up to 5 in Scala
Stack Overflow is a question and answer site for professional and enthusiast programmers. It's 100% free, no registration required.
So, while answering some other question I stumbled upon the necessity of computing the median of 5. Now, there's a similar questi... | 4 | [
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Convergence of a markov matrix
up vote -2 down vote favorite
Consider a markov chain matrix P of size n x n (n states).
P is known to be:
1- Not irreducible (i.e. there exist at least a pair of states i, j such that we cannot go from i to j)
2- Not all states are recurrent.
3- Aperiodic (the return to some states ... | 5 | [
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help finding exact arc length of a curve
November 30th 2008, 09:26 PM
Matt164
help finding exact arc length of a curve
I need help with the following problem:
Find the exact arc length of the curve y= 2/3 * (x+1)^3/2 where the interval for x is [2,7]. Do the algebra and calculus carefully showing your work.... | 5 | [
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Homework Help
Posted by Evy on Friday, November 1, 2013 at 10:56pm.
The cost of an order of 10 computer disks and 3 packages of paper was $27. The next order was for 30 disks and 5 packages, and the cost was $65. Find the cost of a single disk and a single package of
paper.
• Math - Steve, Friday, November 1, 2013 ... | 4 | [
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How $a+b$ can grow when $a!b! \mid n!$
up vote 11 down vote favorite
2
Let $a,b,n$ be natural numbers such that $a!b! \mid n!$. I am looking for a (somehow best) upper bound of $a+b$ in terms of $n$ (for large values on $n$). For example it is clear to see that we must
have $a+b \leq 2n$. But unfortunately I am lookin... | 5 | [
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Diverse forms of energy
TBBT: The latest episode The Bakersfield Expedition of the Big Bang Theory attracted the record 20.0 million U.S. viewers. That's quite a number. The episode showed the boys in sci-fi costumes
going to a Comic Con and the girls accidentally plunging into a boy-like argument about sci-fi ... | 4 | [
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Lab: Density
Objective
Density is a fundamental property of physical objects. Chemists sometimes use it to help in the identification of materials. The effects of density are often demonstrated by considering whether an
object will float in water. Water has a density very close to exactly 1 g/cm^3. When an object has... | 4 | [
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l'hospitals rule
April 12th 2007, 08:35 PM #1
Junior Member
Joined
Mar 2007
Posts
37
l'hospitals rule
I have a problem xe^(1/x) and i'm supposed to use l'hospital's rule to explain its behavior as x -> 0. But L'hospital's rule is for division only I thought? Any help would be great thanks.
we spoke ... | 5 | [
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Justifying the closure of a set
September 22nd 2010, 07:20 AM #1
Junior Member
Joined
Jan 2010
Posts
30
Justifying the closure of a set
My problem is the following:
Find $\overline{A} \textrm{ for } A=\{(x,\sin(1/x))|x>0.\}$
I know that $\overline{A}=A\cup\{(0,y)|-1\leq y \leq 1,\}$ but I need to... | 4 | [
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Graphing Calculator: Trend Lines and RegressionAlgebraLAB: Lessons
Data
can be found in many situations. It can also be graphed and analyzed in several ways. This lesson will focus on how to analyze
data
that has been input into your calculator. As a review, we will also look at graphs of
data
as seen on the calcu... | 4 | [
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Describing Eigenvalues and Eigenvectors
Date: 04/05/98 at 16:10:40
From: Charlie Higgins
Subject: Eigenvalues
After working 30 years in industry, I went through an alternative
Teacher Certification program and got a teaching certificate. I now
teach at a high school. I do not have a degree in mathematics and my
degr... | 5 | [
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Indian Sulbasutras
The Indian Sulbasutras
Ancient Indian Mathematics index History Topics Index
Version for printing
The Vedic people entered India about 1... | 5 | [
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-0.01086425781... | 12,128 | 12128 | |
Right angle: you know all 3 angles and length a, not b or c?
June 18th 2008, 08:33 AM #1
Newbie
Joined
Jun 2008
Posts
4
Right angle: you know all 3 angles and length a, not b or c?
Could someone help me with this? I have a right angle triangle, 90, 30 and 60 degrees. Say the length of A is 30 inches. Wha... | 4 | [
-0.03369140625,
0.068359375,
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0.00958251953125,
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0.052978515625,
0.057861328125,
-0.10302734375,
-0.025146484375,
0.0771484375,
0.051513671875,
-0.003814697265625,
-0.087890625,
0.061035156... | 12,129 | 12129 | |
Opposite of an Exponent
Date: 05/18/97 at 13:19:55
From: Rebecca Carter
Subject: Algebra - Exponents
How do you solve an equation like this: a^2 = 36?
I have tried to solve this, but exponents don't have an opposite (like
the opposite of + is -), so I am not sure how you solve this.
Thank you for your help!
Yours... | 4 | [
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0.05078125,
-0.0625,
0.10498... | 12,130 | 12130 | |
Arcsin Approximation: Fast
Arcsin Approximation: Fast Sqrt Available
It's often good to exploit special properties of the function under consideration.
In this case, if your processor has a fast sqrt, then remove the singularity at x=1 by approximating the following function instead.
Using a Taylor series is almost... | 4 | [
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0.0625,
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0.00390625,
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0.046875,
-0.046142578125,
... | 12,131 | 12131 | |
Find all solutions of this system: x is congruent to 2 (mod 3), 2x is congruent to 3 (mod 5) and 3x is congruent to 4... - Homework Help - eNotes.com
Find all solutions of this system: x is congruent to 2 (mod 3), 2x is congruent to 3 (mod 5) and 3x is congruent to 4 (mod 7).
It is possible to solve this system usi... | 5 | [
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-0.03369140625,
-0.05224609375,
0.02490234375,
-... | 12,132 | 12132 | |
Polynomial roots
May 13th 2010, 02:36 PM #1
Super Member
Joined
Mar 2010
Posts
715
Thanks
2
Polynomial roots
I've just noticed that every polynomial of degree $2k+1$, with $k e 0$, has to at least have one real root (because complex numbers happen in pairs).
This is true, right? It's shown in my ... | 4 | [
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0.019775390625,
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0.026123046875,
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0.04248046875,
0.021240234375,
-0.034912109375,
-0.07080078125,
-0.02062988281... | 12,133 | 12133 | |
isomorphismes
So, you never went to university…or you assiduously avoided all maths whilst at university…or you started but were frightened away by the epsilons and deltas…. But you know the calculus is one of the
pinnacles of human thought, and it would be nice to know just a bit of what they’re talking about……
Both ... | 4 | [
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0.07568359375,
-0.03466796875,
-0.03759765625,
-0.0299072265625,... | 12,134 | 12134 | |
ation
Go to the first, previous, next, last section, table of contents.
This chapter describes functions for performing interpolation. The library provides a variety of interpolation methods, including Cubic splines and Akima splines. The interpolation types are
interchangeable, allowing different methods to be used w... | 5 | [
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0.0250244140625,
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The Dirichlet heat semigroup, $L^1_\delta$, and the dimension shift phenomenon
up vote 6 down vote favorite
4
In relation to the question on the Hardy inequality and the answer by Terry Tao, I've always been curious about the following:
Let $U \subset \mathbb{R}^n$ be a bounded domain of class $C^2$, $(e^{-t A})_{t \... | 4 | [
-0.037353515625,
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-0.06884765625,
0.059326171875,
-0.10205078125,
... | 12,136 | 12136 | |
Frequency Analysis Using the Wavelet Packet Transform
Frequency Analysis Using the Wavelet Packet Transform
This web page displays a number of JPEG images and is slow to load for those of us not blessed with a high speed connection to the Internet. When it comes to signal processing, a picure is worth more
than word... | 4 | [
-0.05615234375,
0.06787109375,
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-0.019775390625,
-0.052490234375,
-0.0007171630859375,
-0.06787109375,
-0.00389099121... | 12,137 | 12137 | |
Cyclotomic polynomials evaluated at roots of unity
up vote 16 down vote favorite
7
Dear MO_World,
I'm working on an ergodic theory question (about a generalization of eigenfunctions for measure-preserving transformations) and have run into a number theory question concerning cyclotomic
polynomials that I'm unable to ... | 5 | [
-0.10791015625,
0.04931640625,
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0.051513671875,
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0.03955078125,
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0.0810546875,
0.000518798828125,
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0.049072265625,
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0.00689697265625,
0.021484375,
-0.06640625,
-0.04931640625,
0.08203125... | 12,138 | 12138 | |
Lifting identities of formal power series
up vote 1 down vote favorite
I am looking for a possibly general class of algebraic structures (maybe special topological rings) in which one can deduce identities of concrete power series from formal ones. This class should
especially contain $\mathbb{R}$ and $\mathbb{C}$.
I... | 5 | [
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0.015625,
-0.044677734375,
-0.021484375,
0.0859375,
0.0... | 12,139 | 12139 | |
Use form of the definition of the integral given in theorem 4 to evaluate integral
Theorem 4 says that if f is integrable on [a,b], then
$\int_{a}^{b} f(x)dx=\lim_{n \rightarrow \infty}\sum_{i=1}^nf(x_i)\Delta{x}$
where $\Delta{x}=\frac{b-a}{n}$ and $x_i=a+i\Delta{x}$
My question is $\int_{-1}^{5} (1+... | 5 | [
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0.006103515625,
0.007... | 12,140 | 12140 | |
Question about the spec and global section functors
up vote 1 down vote favorite
In "points in algebraic geometry why shift from m-spec to spec", Anton said that the global sections functor $\Gamma: \mathrm{LRSp} \to \mathrm{CRing}$ is left adjoint to the Spec functor $\mathrm
{Spec}:\mathrm{CRing } \to \mathrm{LRSp}$... | 4 | [
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0.044677734375,
-0.101074... | 12,141 | 12141 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 053.08002
Autor: Erdös, Pál; Straus, E.G.
Title: On linear independence of sequ... | 4 | [
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0.01300048828125,
-0.07568359375,
0.003936767578125,
-0.03... | 12,142 | 12142 | |
fixed point arguments in PDE
up vote 6 down vote favorite
3
I was curious whether anyone knows of some examples in PDE where a standard fixed point argument fails to show the existence of a solution but one can apply one of the more advanced fixed point
arguments to obtain a solution.
By standard fixed point i mean a... | 4 | [
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0.034912109375,
-0.022705078125,
-0.0546875,
-0.1083984375,... | 12,143 | 12143 | |
On a differential inequality
up vote 2 down vote favorite
The question has probabilistic origins, but it would take too long to elaborate. $\newcommand{\ii}{\boldsymbol{i}}$ $\newcommand{\bR}{\mathbb{R}}$ $\newcommand{\eS}{\mathscr{S}}$
Fix a nonnegative Schwartz function $w:\bR\to \bR$. For any positive integer $m$ ... | 4 | [
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0.130859375,
0.0322265625... | 12,144 | 12144 | |
legendre symbol proof
April 18th 2009, 03:27 PM #1
Junior Member
Joined
Feb 2009
Posts
29
legendre symbol proof
Hi,
Need help with this proof. (a/p) is legendre symbol not to be confused with 1 divided by p;
Prove
(1.2/p) + (2.3/p) + (3.4/p) + ..... + ((p-2)(p-1)/p) = -1
Thanks
L... | 5 | [
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0.060302734375,
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0.02685546875,
-0.059814453125,
-0.01611... | 12,145 | 12145 | |
Subtracting Finite Sums of Integers
Associated Topics || Dr. Math Home || Search Dr. Math
Subtracting Finite Sums of Integers
... | 4 | [
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0.0... | 12,146 | 12146 | |
Are algebraic geometry error correcting codes (Goppa codes) "good" ?
up vote 5 down vote favorite
2
Question (informal version): Are algebraic geometry error correcting codes (V.D. Goppa codes) "good" ?
Some details. There is certain construction of error-correcting codes by means of algebraic geometry, originating ... | 4 | [
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-0.029052734375,
-0.016845703125,
0.0634... | 12,147 | 12147 | |
transformations of trigonometric graphs
August 3rd 2010, 04:11 PM #1
Newbie
Joined
Mar 2010
Posts
11
transformations of trigonometric graphs
Hey guys just asking a question about transformations of trigonometric graphs
h = Hcos (tπ/6)
Find t when h = 2.5
H = 3 (height of the high tide in me... | 4 | [
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0.061767578125,
-0.00885009765625,
-0.1005859375,
0.01165771... | 12,148 | 12148 | |
nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
'Root to Poly' printed from http://nrich.maths.org/
Congratulations to Fok Chi Kwong from Yuen Long Merchants Association Secondary School, Hong Kong on this solution.
We may find the required polynomial by starting from the expression :
$$x ... | 4 | [
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0.0086669921875,
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-0.01177978515625,
0.0255126953125,
-0.0308837890625,
0.055908203125,
-0.0432... | 12,149 | 12149 | |
Intensity statistics in the presence of translational noncrystallographic symmetry
Volume 69
Part 2 Intensity statistics in the presence of translational noncrystallographic symmetry
Pages
176-183
February
2013 ^aDepartment of Haematology, Cambridge Institute for Medical Research, Wellcome Trust... | 4 | [
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0.05419921875,
-0.0245361328125,
-0.1083984375,
-0.0233154296875,
... | 12,150 | 12150 | |
Laplacian type operator on compact Lie group
up vote 1 down vote favorite
1
Consider the operator $S = \sum_{i,j} X_{ij}^2$ on $L^2(SO(n+1))$, where $X_{ij}$ generates the rotation of the sphere $S^n$ in the $ij$-plane keeping the $(n - 2)$ complementary directions fixed.
Consider the operator $-S + X^2 - i\lambda X$,... | 4 | [
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-0.07861328125,
-0.0093994140625,
-0.0419921875,
0.061279296875,
0.0194... | 12,151 | 12151 | |
Voltage and current calculations
There's a sure way to calculate any of the values in a reactive DC circuit over time. The first step is to identify the starting and final values for whatever quantity the capacitor or inductor
opposes change in; that is, whatever quantity the reactive component is trying to hold const... | 5 | [
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0.041748046875,
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0.019287109375,
-0.051513671875,
-0.046... | 12,152 | 12152 | |
That time when Blaise Pascal and Pierre de Fermat helped a gambler
Blaise Pascal was 17th century genius who invented the mechanical calculator. Pierre de Fermat is famous for a theorem that took three hundred years to prove. What could bring these two minds
together? A washed up gambler, down on his luck.
Once upon ... | 4 | [
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-0.054931640625,
-0.12451171875,
0.028... | 12,153 | 12153 | |
"Induced" arrivals in an M/M/1 queue?
up vote 2 down vote favorite
I'm a newcomer to the realm of queueing theory, so please bear with me :)
I'd like to model web server traffic with a modified M/M/1 queue. In the simple case we have two parameters - $\lambda$ for the arrival rate and $\mu$ for the departure (or serv... | 4 | [
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0.055419921875,
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0.0242919921875,
0.0128173828125,
0.150390625... | 12,154 | 12154 | |
Two matrix problems
December 3rd 2012, 03:03 PM
billb91
Two matrix problems
Hey guys,
I have two matrix problems that I'm a bit unsure about. The first one I think I have the right answer, but just want to be sure, and the second, I think the same applications as the first problem
apply, but I'm not ent... | 4 | [
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-0.052978515625,
-0.07080078125,
-0.0322265625,
0.1064453125,
0.0206298828125,
0.0172119140625,
0.04296875,
-0.03515625,
0.095703125,
-0.039306640625,
-0.021484375,
... | 12,155 | 12155 | |
deRham cohomology of a manifold with covering space $S^{n}$
up vote 1 down vote favorite
(A qual problem) Let $\pi:S^{n}\rightarrow M$ be a covering map, $M$ being an orientable manifold. Show that $H_{deR}^{k}(M)=0$ for $1\leq k < n $.
We can show $H_{deR}^{1}(M)=0$ by the following argument. For a closed 1-form $\o... | 5 | [
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-0.0096435546875,
-0.0849609375,
0.004791259765625,
0.038818359375,
-0.045654296875... | 12,156 | 12156 | |
easurements of Sea Level Rise
TOPEX, JASON satellite measurements of Sea Level Rise
The picture above is from the University of Colorado website at http://sealevel.colorado.edu showing the sealevel rise over the last dozen years. The dashed line is an average of the data showing a
mean sea level rise of 2.8+/-0.4 mm/... | 4 | [
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0.0115966796875,
0.01708984375,
0.03857421875,
-0.0771484375,
-0.025634765625,
... | 12,157 | 12157 | |
Hitting times for an N-dimensional random walk on a lattice with (strictly positive) random integer steps
up vote 2 down vote favorite
1
Please consider a random walk on a finite N-dimensional lattice with vectors $(x_1, ..., x_N)$. We define the origin to be $(0, ..., 0)$ and the target to be at the point in the latt... | 5 | [
0.0267333984375,
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-0.006500244140625,
-0.000347137451171875,
-0.0751953125,
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0.031005859375,
-0.002410888671875,
-0.0301513671875,
-0.00927734375,
0.12402343... | 12,158 | 12158 | |
Finn Lawler
allegory
Recall the notion of a unitary pre-tabular allegory. Bicategories of relations are equivalent, but this has yet to be shown rigorously and published, as far as I’m aware.
This PDF file gives an explicit argument, which I put at bicategory of relations until Mike Shulman suggested the neater proof... | 5 | [
-0.032958984375,
-0.0123291015625,
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0.09375,
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0.01904296875,
0.052978515625,
0.0284423828125,
0.00139617919921875,
0.055664... | 12,159 | 12159 | |
Milnor slide trick
This page will probably have to be renamed something like “fiber bundles are fibrations” once I remember how the trick works in detail.
Zoran Škoda: But there is much older and more general theorem of Hurewitz: if one has a map $p:E\to B$ and a numerable covering of $B$ such that the restrictions $p... | 4 | [
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0.03173828125,
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0.03173828125,... | 12,160 | 12160 | |
Posts from December 2012 on Systematic Investor
Archive for December, 2012
In the Visualizing Principal Components post, I looked at the Principal Components of the companies in the Dow Jones Industrial Average index over 2012. Today, I want to show how we can use Principal
Components to create Clusters (i.e. form gro... | 4 | [
0.0084228515625,
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-0.134765625,
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-0.087890625,
-0.0250... | 12,161 | 12161 | |
Moves When Solving the Nx
Abstract
This paper shows that the classic NxP-puzzle can be solved even if moves made by the blank are highly restricted. In particular, it shows than an NxP-puzzle can be solved when the blank moves only in
a clockwise direction and when there is a choice of moves by the blank on only at mo... | 4 | [
-0.0024566650390625,
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0.09375,
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0.01318359375,
-0.11962890625,
0.0159912109375,
-0.03125,
0.018798828125,
0.07324... | 12,162 | 12162 | |
M
Parallel lines
Parallel lines make equal corresponding angles(θ) with the x-axis. Therefore their gradients are equal.
Perpendicular lines
If two lines are perpendicular to eachother, the product of their gradients is -1.
If the gradient of AB is m[1] and the gradient of CD is m[2] , then:
Equation of a straigh... | 4 | [
-0.0947265625,
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-0.11767578125,
0.07421875,... | 12,163 | 12163 | |
Intermediate Algebra Questions With Answers
Intermediate Algebra Questions With Answers
Sample 1
A set of intermediate algebra questions, with a... | 4 | [
0.00579833984375,
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0.047119140625,
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0.1328125,
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Modelling non-homogeneous stochastic reaction-diffusion systems: the case study of gemcitabine-treated non-small cell lung cancer growth
Abstract
Background
Reaction-diffusion based models have been widely used in the literature for modeling the growth of solid tumors. Many of the current models treat both diffusion/... | 4 | [
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nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
The problem here is to find the number of zeros at the end of the number which is the product of the first hundred positive integers. We call this `100 factorial' and write it 100!
For example 4! = 1x2x3x4 = 24 and 5! = 1x2x3x4x5 = 120.
Well d... | 4 | [
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... | 12,166 | 12166 | |
Filtering
Filtering: From First-Order RC filters to Second-Order VCVS (voltage-controlled voltage source) filters
Wanting a filter means the input has some frequencies you regard as noise, and want them attenuated. A filter attenuates and phase shifts the input. It pretty much makes sense to talk about filters
only in... | 4 | [
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... | 12,167 | 12167 | |
Reflection of Electromagnetic Waves
The impedance for electromagnetic waves is defined as the ratio between the voltage and current waves,
where are inductance and capacitance per unit length in medium. For example, the inductance, capa... | 5 | [
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The Closure-Complement-Intersection Problem
up vote 19 down vote favorite
4
Background
Let $A$ be a subset of a topological space $X$. An old problem asks, by applying various combinations of closure and complement operations, how many distinct subsets of $X$ can you describe?
The answer is 14, which follows from th... | 5 | [
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-0.016601562... | 12,169 | 12169 | |
Math Help
July 28th 2009, 07:25 PM #1
Newbie
Joined
Jul 2009
Posts
4
integral
Please help, I'm stuck...
Prove the equality: int[(t^n)(e^-t)] from 0 to infinity = n!, for n=0,1,2,...
(Evaluate int(e^(-xt)) dt from 0 to infinity and consider whether repeatedly differentiating under the integral ... | 5 | [
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-0.04687... | 12,170 | 12170 | |
Clustering statistics in cosmology - V.J. Martinez &
E. Saar
3.4. Lacunarity
If in a fractal distribution, we count for each point the total number of neighbors within a ball of radius r, M(r), we can see that this quantity follows roughly a power-law
the exponent D is the so-called mass-radius dimension. Taking the ... | 4 | [
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... | 12,171 | 12171 | |
how to calculate sand, cement quantity for plastering (1:5)? what"s th
Question how to calculate sand, cement quantity for plastering (1:5)? what"s the formula?
Question Submitted By :: Civil-Engineering
... | 4 | [
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0.0571... | 12,172 | 12172 | |
Optimize Varactor-Tuned Oscillators
This simple model helps to understand the tuning sensitivity and linearity of a varactor diode for more predictable and precise tuning of oscillators at millimeter-wave frequencies.
This accurate model of a varactor diode should help designers of voltage-controlled oscillators (VCOs... | 4 | [
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mathschallenge.net
Never Prime
Problem
Prove that 14^n + 11 is never prime.
Solution
In problems of this nature it is often helpful to substitute values for n to see if anything useful can be pertained. Thus the first seven terms are 25, 207, 2755, 38427, 537835, 7529547,
respectively. Although we cannot be certain... | 4 | [
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covariance matrix by group
up vote 0 down vote favorite
I have been able to calculate covariance for my large data set with:
cov(MyMatrix, use="pairwise.complete.obs",method="pearson")
This provided the covariance table I was looking for, as well as dealing with the NA issues that are throughout my data. For a d... | 5 | [
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-0.050537109375,
-0.055175781... | 12,175 | 12175 | |
Connections with compatible Hermitian products on complex line bundles
up vote 1 down vote favorite
Let $X$ be a manifold, $L$ be a complex line bundle over $X$, and $L^{*}$ be the associated principal bundle. Suppose $\alpha$ is a connection form on $L^{*}$, with associated connection $D$ on $L$.
Suppose we wish to d... | 4 | [
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0.04345703... | 12,176 | 12176 | |
Milankovich vs the Ice Ages
guest post by Blake Pollard
Hi! My name is Blake S. Pollard. I am a physics graduate student working under Professor Baez at the University of California, Riverside. I studied Applied Physics as an undergraduate at Columbia
University. As an undergraduate my research was more on the enviro... | 4 | [
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-0.000701904296875,
-0.0196533203... | 12,177 | 12177 | |
Complete Solutions of Linear Systems
A system of N first-order linear homogeneous differential equations with constant coefficient can be expressed in matrix form as
[]
where P(t) is a column vector consisting of the... | 4 | [
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0.00016307830810546875,
-0.... | 12,178 | 12178 | |
commutativity constraint in Grothendieck's motives
up vote 7 down vote favorite
4
This is a basic question about Grothendieck's conjectural category $M_k$ of pure motives (over a field $k$). This construction first produces a category (the "false category of motives") which need
not be Tannakian; the category undergoe... | 4 | [
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0.08740... | 12,179 | 12179 | |
Because it's Friday: The Knapsack Problem
You can follow this conversation by subscribing to the comment feed for this post.
Brute force works for me:
appetizer.solution <- local (
function (target) {
app <- c(2.15, 2.75, 3.35, 3.55, 4.20, 5.80)
r <- 2L
repeat {
c <- gtools::combinations(length(app), r... | 5 | [
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0.03759765625,
-0.02209472... | 12,180 | 12180 | |
Rhind Mathematical Papyrus
The
Rhind Mathematical Papyrus
(RMP) (also designated as: papyrus
British Museum
The British Museum is a museum of human history and culture in London. Its collections, which number more than seven million objects, are amongst the largest and most comprehensive in the world and
originate ... | 5 | [
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-0.078125,
-0.01... | 12,181 | 12181 | |
Biology Archive | February 19, 2012 | Chegg.com
Set up your Excel spreadsheet to calculate Shannon diversity index and compare between the two data sets. Use the following formulas, program into your Excel spread sheet.
I have given you sets that have already been averaged across replicates
The Shannon diversity inde... | 4 | [
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0.0145263671875,
0.10693359375,
-0.00433349609375,
-... | 12,182 | 12182 | |
categorifying induction in homotopy type theory
up vote 5 down vote favorite
In trying to understand homotopy type theory, I stumbled upon the following silly question, which is likely to be trivial for the experts.
Let $B=\sqcup_{n\in\Bbb N} BS_n$, which I'd like to think of as the categorified version of the natura... | 4 | [
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-0.0279541015625,
0.03466796875,
0.047607421875,
0.005645751953125,
0.0380... | 12,183 | 12183 | |
An interaction between prime numbers
up vote 9 down vote favorite
Let $p_1\ p_2\ \ldots$ be the sequence of all natural prime numbers. There is a slight (just slight) but clear tendency for imitating the number of primes in an interval $(p_k;\ p_n)$ by the number
of primes in the double interval $(p_k\!+p_{k+1};\ p_{n... | 5 | [
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-0.037109375,
0.0296630859375,
-0.02978515625,
0.0087890625,
-0.038330078125,... | 12,184 | 12184 | |
monotonicity and concavity
March 5th 2009, 03:24 AM #1
Newbie
Joined
Feb 2009
Posts
17
monotonicity and concavity
so the problem is to determine where each function is increasing, decreasing, concave up, and concave down for this equation:
y=1/(1+e^-x), x=all real numbers
for this one, honestly, ... | 5 | [
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0.0299072265625,
-0.052734375,
0.... | 12,185 | 12185 | |
Ohm's Law worksheet
Question 1:
Define the following terms:
energy
,
work
, and
power
.
Work
is the exertion of a force over a distance.
Energy
is the capacity to perform work.
Power
is the rate of work performed per unit time.
Notes:
Students may find a basic physics text helpful in obtaining these defi... | 4 | [
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0.041259765625,
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0.05908203125,
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0.047607421875,
0.013916015625,
... | 12,186 | 12186 | |
ari
[2nd>info.>]
Variations on Sequence Alignment.
www.csse.monash.edu.au/~lloyd/Seminars/2007-DPA/index.shtml
Basic DPA:
[dpa-basic.js] -- global alignment, (optimal), minimise simple {0, 1} costs, ascii, 2-sequences.
some varia... | 4 | [
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0.0177001953125,
0.0625,
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0.01458740234375,
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0.00799560546875,
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-0.046875,
-0.009887695... | 12,187 | 12187 | |
Roof Framing
Run, Roof Slope, Gable Height and Gable Area
Run
Run can be calculated as:
R = S / 2 (1)
where
R = run (ft, m)
S = span (ft, m)
Example - Run
The run of a roof with 60 feet span is
R = (60 feet) / 2
= 30 feet
Gable Height
Gable height can be calculated as
GH = R VR (2)
where
GH = gable heigh... | 4 | [
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0.0712890625,
0.06982421875,
0.032958984375,
0.032470703125,
-0.047119140625,
0.09033203125... | 12,188 | 12188 | |
2-1 Part I -- Polynomial functions
The anatomy of a polynomial
Here's a typical polynomial:
3x^2 - 2x + 1
Note: exponents in polynomials must be positive integers
Some terminology:
This polynomial has three terms.
... | 4 | [
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0.038818359375,
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0.015869140625,
0.0033111572265625,
-0.005218505859375,
-0.09228... | 12,189 | 12189 | |
Overdispersion with Different Exposures
In actuarial science, and insurance ratemaking, taking into account the exposure can be a nightmare (in datasets, some clients have been here for a few years – we call that exposure – while others
have been here for a few months, or weeks). Somehow, simple results because more c... | 4 | [
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0.103515625,
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0.037109375,
0.0294189453125,
0.010498046875,
0.07275390625,
0.053955078125,
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0.0673828125,
0.044189453125,
0.0181884765625,
-0.031982421875,
0.043212890625,
-0.053955078125... | 12,190 | 12190 | |
Calculating all of the subsets of a set of numbers
up vote 20 down vote favorite
9
I want to find the subsets of a set of integers. it is the first step of "Sum of Subsets" algorithm with backtracking. I have written the following code, but it doesn't return the correct answer:
code:
BTSum(0, nums);
///*************... | 5 | [
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0.0286865234375,
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0.01287841796875,
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0.080078125,
0.0296630859375,
-0.12109375,
-0.01324462890625,
-0.06787109375,
-0.0164794921875,
0.10986328125,
-0.11962890625,
-0.078125,
-0.039306640625,
0.0277099609375,
... | 12,191 | 12191 | |
Mathematical Properties of Waves
Physical waves, or mechanical waves, form through the vibration of a medium, be it a string, the Earth's crust, or particles of gases and fluids. Waves have mathematical properties that can be
analyzed to understand the motion of the wave. This article introduces these wave properties, ... | 4 | [
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0.01251220... | 12,192 | 12192 | |
A flexible R package for nonnegative matrix factorization
Abstract
Background
Nonnegative Matrix Factorization (NMF) is an unsupervised learning technique that has been applied successfully in several fields, including signal processing, face recognition and text mining.
Recent applications of NMF in bioinformatics h... | 4 | [
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0.009582519... | 12,193 | 12193 | |
Chapter 4: Some Mathematical Topics on W
Solutions for the Exercises at the End of the Sections 3 255 x Since jx - 1j < , we have j x 2 - 1 - 3 j < j2x + 1j : We need to estimate the fraction j2x + 1j : The choice of 2jx + 1j 2jx + 1j 2 - 1
È 2 É = minimum 1, 5 implies that 1 and 2 : Thus jx - 1j < 1: So, -1 < x - 1 < ... | 5 | [
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0.00155... | 12,194 | 12194 | |
How to Calculate Pneumatic Cylinder Force
Step 1
Measure the size of the air cylinder to calculate the total area that the air will be pushing against to create the force. All pneumatic cylinders are classified by the diameter of the cylinder and
the length of the stroke. The most important measurement we need in cal... | 4 | [
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-0.0634765625,
... | 12,195 | 12195 | |
Models of computation with decidable halting problem?
up vote 4 down vote favorite
1
There are numerous examples of models of computation in which all programs halt, for example primitive recursion.
Are there (non-trivial) examples of models in which only some programs halt, but the halting problem is still decidable... | 4 | [
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... | 12,196 | 12196 | |
[SciPy-user] algorithm, optimization, or other problem?
Brian Blais bblais at bryant.edu
Tue Feb 21 06:24:01 CST 2006
Hello,
I am trying to translate some Matlab/mex code to Python, for doing neural
simulations. This application is definitely computing-time limited, and I need to
optimize at least one inner loop of... | 4 | [
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-0.045166015625,
0.091796875,
-0.041259765625,
0.036376... | 12,197 | 12197 | |
Applied Max/Min Problems
Associated Topics || Dr. Math Home || Search Dr. Math
Applied Max/Min Problems
Date: 2/1... | 4 | [
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Random V
Random Vectors
A random vector is a multi-dimensional random variable.
Example 1 : we roll a fair die twice. Let X be the sum of the rolls and let Y be the absolute difference between the two roles. Then (X,Y) is a 2-dimensional random vector. The joint pmf of (X,Y) is
given by:
X\Y 0 1 2 3 4 5
2 1 0 0 ... | 5 | [
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0.01904296... | 12,199 | 12199 |