content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Fermat's Factorization Running Time
Let N = pq is any odd composite. Let d = 2n be the difference between the two closest factors of 'N'. ( For e.g., 105 = 3x35 = 5x21 = 7x15 here 15 and 7 is close to each other compare to other.
Therefore d = 15 - 7 = 8 therefore n = d/2 = 4). Let 's' be the floor value of square root... | 4 | [
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0.0625,
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-0.006... | 13,800 | 13800 | |
Long First Month Mortgage Payment Calculation
Date: 06/22/2001 at 00:15:28
From: Genevieve Chan
Subject: Long 1st month mortgage payment calculation
Dr. Math,
All the mortgage payment formulae seem to deal with level pay whole
monthly payments, given interest, loan principal, and length of the
loan. But in the real... | 5 | [
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9: Trains of Verbs
Chapter 9: Trains of Verbs
In this chapter we continue the topic of trains of verbs begun in Chapter 03. Recall that a train is an isolated sequence of functions, written one after the other, such as (+ * -).
9.1 Review: Monadic Hooks and Forks
Recall from Chapter 03 the monadic hook, with the sc... | 4 | [
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Deriving Distance from the Energy Conservation Law
Date: 6 Jul 1995 16:27:59 -0400
From: Alberto Carvalho Peret
Subject: Integration
Hello,
I'm a 1st year materials engineering student here in Brazil, and I have
a doubt concearning a physics integration:
How do we get the S = So+0.5*v*t^2+Vo*t formula, for a free-... | 5 | [
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Global behavior of 1D compressible isentropic Navier-Stokes equations with a non-autonomous external force
Abstract
In this paper, we study a free boundary problem for compressible Navier-Stokes equations with density-dependent viscosity and a non-autonomous external force. The viscosity coefficient μ is
proportional ... | 4 | [
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.
Annu. Rev. Astron. Astrophys. 1988. 26: 631-86
Copyright © 1988 by . All rights reserved
3. THE CLUSTER CORRELATION FUNCTION
The spatial distribution of rich clusters of galaxies and the clustering properties of clusters have been the subject of considerable interest over the past two decades, with a wide ra... | 4 | [
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NEWTON, Ask a Scientist at Argonne National Labs
Electric Circuit and Speed of Light
Name: Andy
Status: student
Grade: 9-12
Country: Canada
Date: N/A
Question: I have a question about how fast electricity moves. ... | 5 | [
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set theory (mathematics) :: Present status of axiomatic set theory
set theory
Article Free Pass
Present status of axiomatic set theory
The foundations of axiomatic set theory are in a state of significant change as a result of new discoveries. The situation with alternate (and conflicting) axiom systems for set theo... | 4 | [
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r
Rates of radioactive transitions > Measurement of half-life > Beta decay
The processes separately introduced at the beginning of this section as beta-minus decay, beta-plus decay, and orbital electron capture can be appropriately treated together. They all are processes
whereby neutrons and protons may transform to ... | 4 | [
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[music-dsp] Zoelzer & Holters 4th order EQ filters
Thomas Rehaag developer at netcologne.de
Tue May 5 09:47:15 EDT 2009
and even better:
c = cos(OmM) = cos(OmU + OmL) / cos(OmU - OmL)
Thomas Rehaag schrieb:
>
> found it myselfe, thanks to my good old math book:
>
> cos(2*x) = (1 - tan(x)^2) / (1 - tan(x)^2)
>
> ... | 4 | [
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NEWTON: Largest Number Smaller than One
Largest Number Smaller than One
Name: Tony
Status: student
Grade: 12+
Country: China
Date: Fall 2012
Question: If 0.99 (repeating) =1, then what is the largest number poss... | 4 | [
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nrich.maths.org
Copyright © University of Cambridge. All rights reserved.
We received several responses mentioning that a strategy of trial and error had been used to arrive at the result. This is a valuable strategy but it may be difficult to tell if there is more than
one solution.
Alice used a spreadsheet to help ... | 4 | [
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Electrical Engineering Archive | June 16, 2010 | Chegg.com
Electrical Engineering Archive: Questions from June 16, 2010
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Butcher asked
For part 1, yo... Show more
Sorry this question is so long,... | 4 | [
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0.06689... | 13,812 | 13812 | |
Age and Money
Date: Tue, 13 Dec 1994 18:38:36 AST
Comments: NB*net - New Brunswick's Regional Network
1-800-561-4459
From: Richard Seguin
Subject: Grade 9 (Richard Seguin)
Could you help me solve this. I am a grade 9 student.
1> Frank is eight years older than his sister. In three years he will be
twice as old a... | 4 | [
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dy
Got Homework?
Connect with other students for help. It's a free community.
• across
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ParthKohli Group Title
Classical mechanics... | 4 | [
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Topic: vector union
Replies: 0
vector union
Posted: ... | 4 | [
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Keyah Math Study 10, Level 3
Mathematical Content : Basic algebra (distance, rate and time); geometry; Snell’s law
Exploring the Interior of the Earth: Exercises
In the following exercises, refer to Figure 1 (left), and round all answers to 1 decimal place.
Information:
You found the radius of the Earth to be 6... | 4 | [
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Fibonacci Identity
Date: 12/10/2001 at 17:49:43
From: Doug Moll
Subject: Form of Fibonacci numbers
I am trying to create an inductive proof for the particular identity
of Fibonacci numbers that:
F(n-1) * F(n+1) = (-1)^n + (Fn)^2
I know I do a base case of n being 0, and then an inductive step of
n being n+1, but b... | 5 | [
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shortlist
43rd IMO 2002 shortlist
Problem N1
Express 2002^2002 as the smallest possible number of (positive or negative) cubes.
Solution
All cubes are 0, 1, or -1 mod 9. But 2002 = 4 mod 9, so 2002^3 = 1 mod 9, hence 2002^2001 = 1 mod 9 and 2002^2002 = 4 mod 9. So we need at least 4 cubes.
Now note that 2002 = ... | 5 | [
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Magic Square
<!-- Article image --> <!-- Add the rest of your HTML here -->
Introduction
Magic square is an ancient mathematical problem that many people try to solve. May be you see it in some magazines or your teacher might have introduced it in a class.
Details
A magic square is an arrangement of numbers from 1 ... | 5 | [
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8th grade physical science
Posted by Misty on Thursday, January 19, 2012 at 11:33am.
You are on roller blades on top of a small hill. Your PE is 1,000.0 Joules. The last time you check your mass was 60.0 kg. What is the height of the hill?
if you start skating down this hill, your poetntial energy will be converted t... | 4 | [
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Homotopy equivalence of certain kinds of adjunction spaces
up vote 2 down vote favorite
Suppose that $X$, $Y$ and $Z$ are topological spaces, with $A\subset X$, a map $f:A\rightarrow Y$, and a homotopy equivalence $\phi:Y\rightarrow Z$. It seems fair to think that the adjunction spaces
$Y\cup_{f}X$ and $Z\cup_{\phi\ci... | 5 | [
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Algebra Help urgently needed
July 5th 2007, 10:45 PM #1
Newbie
Joined
Feb 2007
Posts
17
Algebra Help urgently needed
Dear anyone.
Could anyone please show me the easiest most simplest way to sork out this solution please ?
Aaron has am assortment of coins and notes in his money box. He has 9 tim... | 4 | [
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Cardinality of a certain set of distinct subsets of $\mathbb{N}$
up vote 2 down vote favorite
A recent question here has convinced me that folks here have a warm heart for the foundations of quantum mechanics, so I decided to ask a question that has been bothering me for a while.
Quantum motivation
Hardy has proved ... | 5 | [
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A-infinity operad
The $A_\infty$ operad
Idea
An $A_\infty$ operad is an operad over some enriching category $C$ which is a (free) resolution of the standard associative operad enriched over $C$ (that is, the operad whose algebras are monoids).
Important examples, to be discussed below, include: * The topological ope... | 4 | [
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Math - Get x & y coordinates at intervals along a line
up vote 2 down vote favorite
I'm trying to get x and y coordinates for points along a line (segment) at even intervals. In my test case, it's every 16 pixels, but the idea is to do it programmatically in ActionScript-3.
I know how to get slope between two points,... | 5 | [
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An Elementary Course in Synthetic Projective Geometry SummaryAn Elementary Course in Synthetic Projective Geometry Summary
[Figure 48]
FIG. 48
160. Sum or difference of focal distances. The ellipse and the hyperbola have two foci and two directrices. The eccentricity, of course, is the same for one focus as for the o... | 4 | [
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Production of Jets: Relation to AGN - P.J. Wiita
© CAMBRIDGE UNIVERSITY PRESS 1991
2.3. Magnetohydrodynamical models
The other major category of central engine and beam models consider the magnetic fields to be of dominating importance. The existence of dynamically significant magnetic fields on relevant scales i... | 4 | [
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Establishing zeta(3) as a definite integral and its computation.
up vote 10 down vote favorite
7
I am a 19 yr old student new to all these ideas. I made the transformation $X(z)=\sum_{n=1}^\infty z^n/n^2$. Therefore $X(1)=\pi^2/6$ as we all know (it is $\zeta(2)$). To calculate $X(1)$, I
integrated $$\frac{Y(z)}{z}=\s... | 5 | [
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0.032470703125,
0.0050048828125,
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0.01226806640625,
-0.078125,
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-0.0... | 13,828 | 13828 | |
Twizzle Arithmetic
Copyright © University of Cambridge. All rights reserved.
'Twizzle Arithmetic' printed from http://nrich.maths.org/
In
Arrow Arithmetic 2
and
Arrow Arithmetic 3
(published in February 2007), the problems were about finding a way to do arithmetic using geometry where numbers are represented by a... | 4 | [
-0.01287841796875,
0.03564453125,
0.01214599609375,
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0.01171875,
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0.051513671875,
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0.046142578125,
-0.11669921875,
0.084472... | 13,829 | 13829 | |
Does this norm inequality hold for projections onto the range of a sum of matrices?
up vote 1 down vote favorite
Although it's simply stated, this is neither a homework problem or trivial (I think, but I'd be happy to be proven wrong :) ).
Let $A,B$ be matrices and $x$ be a vector. Is it true that $$ \|P_{A+B} x\| \g... | 5 | [
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-0.... | 13,830 | 13830 | |
Transforming Secant and Cosecant - Concept
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Transforming Secant and Cosecant - Concept 15,600 views
To graph secant and cosecant, find values of the reciprocal functions and plot them on the coordinate plane. Un... | 4 | [
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0.0279541015625,
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0.004486083984375... | 13,831 | 13831 | |
Bounding Sums of Random Variables: Part 2
It's possible to go further -- much further -- on bounding sums of random variables (mentioned in the previous post). For instance, if everything has been defined, in that previous post, on
distributions on $\mathbb{R}^+$, it is possible to extend bounds of distributions on $\... | 4 | [
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Primary decomposition theorem (thing)
When working with a
linear map
, it is often convenient to make use of the
isomorphism
between such an
operator
and its
matrix
representation. However, any given
vector space
will have many bases, and in general a
change of basis
alters the matrix version of a given ope... | 4 | [
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0.125,
0.0020294189... | 13,833 | 13833 | |
Project Euler problem 191, or, how I learned to stop counting and love induction
by James Somers, February 25, 2011
Of the 142 Project Euler problems I’ve battled so far, it may just be that #191 has put up the most interesting fight, not because the problem itself was all that difficult or unusual or
enlightening, b... | 5 | [
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Section 5.3 Discussion
This point is called the Fermat point. We will want to explore how to find the Fermat point, examine characteristics it may have, and perhaps open up additional investigations.
The set of segments collectively is a NETWORK for the three points of the triangle. We are asking for a minimal network... | 5 | [
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-0.00225830078125,
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-... | 13,835 | 13835 | |
Space of solutions of nonlinear Helmholtz equation on a torus
up vote 7 down vote favorite
1
On a unit torus $T^n$ (or equivalently, on $\mathbb{R}^n$ with periodic boundary conditions), the linear Helmholtz equation:
$\nabla^2 \phi + k^2 \phi=0$
will have no non-trivial solutions for generic values of $k$, while fo... | 5 | [
-0.0634765625,
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0.0247802734375,
0.042236328125,
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0.0361328125,
-0.053955078125,
0.0361328125,
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-0.0145263671875,
-0.0203857421875,
0.0147705078125,
-0.017456054687... | 13,836 | 13836 | |
The Two-Dimensional Fourier Transform and Digital Watermarking
We’ve studied the Fourier transform quite a bit on this blog: with four primers and the Fast Fourier Transform algorithm under our belt, it’s about time we opened up our eyes to higher dimensions.
Indeed, in the decades since Cooley & Tukey’s landmark pap... | 4 | [
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0.0201416015625,
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-0.08203125,
-0.05322265625,... | 13,837 | 13837 | |
The Cockroft and Gault formula for estimation of creatinine clearance: a friendly deconstruction
The Cockroft and Gault formula for estimation of creatinine clearance: a friendly deconstruction
J Alasdair Millar
┌────────────────────────────────────────────────────────────────────────────────────────────────────────... | 4 | [
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0.052978515625,
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-0.0869140625,
-0.0498046875,
-0.0698242... | 13,838 | 13838 | |
dy
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skybunnygirl Group Title
(1+cos3t)/(sin3t)... | 4 | [
-0.11767578125,
0.09033203125,
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0.007049560546875,
-0.034912109375,
-0.0153808593... | 13,839 | 13839 | |
Simulation of Pharyngeal Airway Interaction with Air Flow Using Low-Re Turbulence Model
Modelling and Simulation in Engineering
Volume 2011 (2011), Article ID 510472, 9 pages
http://dx.doi.org/10.1155/2011/510472
Research Article
Simulation of Pharyngeal Airway Interaction with Air Flow Using Low-Re Turbulence Model
... | 4 | [
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0.044921875,
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0.0107421875,
-0.016357421875,... | 13,840 | 13840 | |
Hollow Conductor Field
Name: Paul
Status: student
Age: 16
Location: N/A
Country: N/A
Date: 10/2/2004
Question: What I do not understand is why the intensity of the electric field is 0 inside a char... | 5 | [
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-0.09423828125,... | 13,841 | 13841 | |
Need Suggestions on how to start with a For loop
10-16-2001 #1
Registered User
Join Date
Sep 2001
Posts
25
A problem in timber management is to determine how much of an area to leave uncut so that the harvested area is reforested in a certain period of time. It is assumed that reforestation takes
plac... | 4 | [
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0.039306640625,
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0.03271484375,
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0.061767578125,
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0.0908203125,
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0.06494140625,
-0.05322265625,
0.09619140625,
-0.10595703125,
0.00665283203... | 13,842 | 13842 | |
Invariants of a $GL(3,\mathbb{R})$ action
up vote 5 down vote favorite
1
I'm trying to understand the standard $GL(3,\mathbb{R})$ action on the 15-dimensional space of possible values for the derivative of the Riemann curvature tensor of a 3-dimensional manifold $M$ at a
point, thought of as the codimension-3 subspace... | 4 | [
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0.03271484375,
-0.0283203125,
0.0732421875,
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-0.0205078125,
0.02490234375,
0.08203125,
-0.06298828125,
0.09765625,
-0.056... | 13,843 | 13843 | |
Area of a Closed Bezier Curve
Hi all,
I need to evaluate the area of a closed cubic bezier curve defined by
the list of control points ( num. points = 1 + 3 * num. bezier sub-curves ).
I found a posible solution evaluating the curve to get a polyline and
calculate the area of the enclosed area ( ... | 5 | [
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0.04150390625,
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0.0185546875,
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0.02880859375,
0.00066375732421875,
-0.0166015625,
0.0830078125,
-0.0296630859375,
-0.04760742187... | 13,844 | 13844 | |
Finding a Sample Size for Your Split Test
Modeling A Split Test Looking For A 2% Effect
Let’s assume we’ve decided we need to test for an effect of at least 2%. This means we want to detect that the measured mean has increased by 2%.
If you recall, above we showed that we can model the variable we want to test (purc... | 5 | [
0.08447265625,
-0.0419921875,
0.05126953125,
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0.021728515625,
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0.150390625,
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0.034423828125,
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-0.0198974609375,
0.14453125,
-0.07275390625,
0.039794921875,
0.03442382812... | 13,845 | 13845 | |
Di
Many of the MATLAB programs linked below are from the Computational Science and Engineering ("CSE") Web site. Many more great MATLAB programs can be found there.
• Four linear PDE solved by Fourier series: mit18086_linpde_fourier.m (M)
Shows the solution to the IVPs u_t=u_x, u_t=u_xx, u_t=u_xxx, and u_t=u_xxx... | 4 | [
-0.064453125,
-0.00921630859375,
-0.02197265625,
-0.0211181640625,
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-0.138671875,
0.0189208984375,
-0.043212890625,
0.0009918212890625,
0.0281982421875,
0.0032806396484375,
0.0164794921875,
-0.08349609375,
-0.019775390625,
-0.02685546875,
-0.0498046... | 13,846 | 13846 | |
dy
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david93 Group Title
The image of (-2, 5) i... | 4 | [
-0.049072265625,
0.031494140625,
-0.0260009765625,
-0.11279296875,
0.03759765625,
0.00469970703125,
0.025146484375,
0.0301513671875,
0.047607421875,
-0.020263671875,
0.10595703125,
-0.061767578125,
0.01531982421875,
0.02490234375,
-0.0498046875,
0.03173828125,
-0.1044921875,
-0.022... | 13,847 | 13847 | |
dy
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Ishaan94 Group Title
Compute \(f'\left(0\r... | 5 | [
-0.07177734375,
0.09130859375,
0.06494140625,
-0.0498046875,
0.07763671875,
0.0172119140625,
0.031494140625,
0.032470703125,
-0.08544921875,
0.03515625,
0.09521484375,
-0.043701171875,
0.00579833984375,
-0.06689453125,
-0.0517578125,
-0.041259765625,
-0.00518798828125,
0.0310058593... | 13,848 | 13848 | |
"Composition of Morita equivalences" or "Morita equivalence and the Nakayama functor"
up vote 7 down vote favorite
4
This problem occured to me, when trying to find a Morita invariant for finite dimensional algebras.
Suppose $\Lambda$ and $\Gamma$ are two self-injective $k$-algebras ($k$ being a field) which are Mori... | 4 | [
-0.0201416015625,
-0.03125,
0.0291748046875,
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0.0308837890625,
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0.01513671875,
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0.099609375,
0.05322265625,
0.08203125,
0.04345703125,
0.06298828125,
-0.0947265... | 13,849 | 13849 | |
dy
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Dallasb22 Group Title
Find the area of an ... | 4 | [
0.0272216796875,
0.047119140625,
-0.08837890625,
-0.026123046875,
-0.030029296875,
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0.056640625,
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0.0263671875,
0.0137939453125,
0.099609375,
0.001007080078125,
0.004119873046875,... | 13,850 | 13850 | |
Complex Mul and Div using sse Instructions
up vote 3 down vote favorite
2
Is performing complex multiplication and division beneficial through SSE instructions? I know that addition and subtraction perform better when using SSE. Can someone tell me how I can use SSE to
perform complex multiplication to get better perf... | 5 | [
-0.06298828125,
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0.03173828125,
-0.00384521484375,
-0.003936767578125,
-0.059814453125,
0.15234375... | 13,851 | 13851 | |
Fast Fourier Transform (FFT) in VB .Net - Please Help
Hi, I have a FFT routine that I converted from C++ to VB in a module
as follows:
Const M_PI = 3.1415926535897931
' Fast Fourier Transform
Public Sub FFT(ByRef rex() As Single, ByRef imx() As Single, ByVal
N As UShort)
Dim nm1 As UShort = CUShort(N - 1)
Dim nd2 As... | 4 | [
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0.032958984375,
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-0.056396484375,
-0.027587890625,
-0.041748046875,
-0.03857421875,
0... | 13,852 | 13852 | |
Szemeredi-Trotter theorem
You are currently browsing the tag archive for the ‘Szemeredi-Trotter theorem’ tag.
Jozsef Solymosi and I have just uploaded to the arXiv our paper “An incidence theorem in higher dimensions“, submitted to Discrete and Computational Geometry. In this paper we use the polynomial Ham
Sandwich ... | 4 | [
-0.01397705078125,
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0.08203125,
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-0.04931640625,
-0.03271484375,
0.0274658203125,
-0.057373046875,
-0.04... | 13,853 | 13853 | |
Distances between and among points in a region
up vote 1 down vote favorite
Let $X = \{x_1, \dots, x_n\}$ denote a finite set of $n$ points in the unit square $S$, and let's center $S$ at the origin. Let $F(X) = \sum_{i=1}^n \| x_i \| $ and let $G(X) = \iint_S \min_i \|x -
x_i\|~ dA $ be the average distance between a... | 5 | [
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0.01190185546875,
-0.0615234375,
0.1689453125,
-0.05151367... | 13,854 | 13854 | |
Simplifying Radicals and Exponents
Date: 9/3/95 at 11:23:20
From: Richard Seguin
Subject: Help on "Developing Operations: Radicals"
In my math book I have a question like this:
____
A 1) Which of the following Radicals are equivalant to \/ 32
IT gives me thes... | 4 | [
-0.0159912109375,
0.0238037109375,
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0.046142578125,
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0.043212890625,
0.0712890625,
0.0247802734375,
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0.0419921875,
0.0615234375,
0.0281982421875,
0.0654296875,
-0.0286865234375,
... | 13,855 | 13855 | |
Projectile Motion in 3D Space
::::::::::::::::::::::::::::::::::::::::::::::::::::
Introduction
Back in [Newsletter Issue No. 126], I provided an [article] about the mathematics of projectile motion in 2D space. This information is useful if you want to write a [Liberty BASIC] program to, say,
track the path of a ba... | 5 | [
-0.045654296875,
0.010986328125,
-0.06884765625,
-0.1005859375,
0.001678466796875,
0.0224609375,
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0.08935546875,
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0.03515625,
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0.047119140625,
0.01116943359375,
-0.0037994384765625,
0.007049560546875,
0.... | 13,856 | 13856 | |
vanishing of cohomology sheaves with supports and values in the multiplicative group
up vote 1 down vote favorite
2
Let $X$ be a locally noetherian regular scheme and $Y$ be a closed subscheme of codimension $d > 0$ in every point. Why does it "immédiatement" (Grothendieck, Groupe de Brauer III, §6, p. 133 f.)
follow ... | 4 | [
-0.000033855438232421875,
0.05029296875,
0.0498046875,
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0.10888671875,
-0.0216064453125,
0.06787109375,
-0.0007781982421875,
-0.021240234375,
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0.1279296875,
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-0.039794921875,
-0.056640625,
0.078125,
0.04296875,
0.019775390625,
-0.05346... | 13,857 | 13857 | |
Window Functions Reference
This page is a companion reference to the posts
Windows of Opportunity
and
Windows of Opportunity – ENBW
. Since putting all of the content into that post also would have made it
way
too long (instead of just regular too long), the discussion in it was limited to three ... | 4 | [
-0.017822265625,
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0.01373291015625,
0.0283203125,
0.0439453125,
0.01031494140625,
-0.083984375,
0.02783203125,
-0.0130615234375,
-0.01220703125,
-0.024169921875,
0.0028076171875,
-0.0013580322265625,... | 13,858 | 13858 | |
distinct zero points for polynomial
up vote 7 down vote favorite
3
I met an interesting phenomenon. Suppose $f(z)=\frac{1}{p(z)}$ where p(z) is a polynomial in $\mathbb{C}[z] $. If there exists a $ k \in \mathbb{N} $ and $ k>1 $ such that after you take $k$-th
derivative for $f(z)$ (i.e $f^{(k)}(z)=\frac{g(z)}{h(z)}$)... | 5 | [
-0.055908203125,
0.0654296875,
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0.1298828125,
0.0269775390625,
-0.00921630859375,
0.041748046875,
-0.006988525390625,
0.078125,
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0.0125732421875,
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0.01416015625,
-0.0093994140625,
0.003997802734375,
-0.05419921875,
-0.036376953125,
0.... | 13,859 | 13859 | |
Effect Size for Dependent Sample t test
Effect Size: Introduction
An effect size is a measure of the strength of a phenomenon, conveying the estimated magnitude of a relationship without making any statement about the true relationship. Effect size measure(s) play
important role in meta-analysis and statistical power... | 4 | [
0.07275390625,
0.11865234375,
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0.0264892578125,
0.046630859375,
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0.142578125,
0.06689453125,
0.06201171875,
0.0179443359375,
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-0.038818359375,
-0.028564453125,
-0.01458740234375,
0.07958984375,
-0.01... | 13,860 | 13860 | |
moment of inertia (physics)
moment of inertia
Article Free Pass
moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the
application of a torque (turning force). The axis may be int... | 4 | [
0.005645751953125,
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-0.04736328125,
0.005645751953125,
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0.06396484375,
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0.08984375,
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0.059814453125,
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0.050537109375,
0.00069427490234375,
-0.0283203125,
0.037841796875,
0.020751953125,
0.0... | 13,861 | 13861 | |
Lecture 28 and 29
LECTURE 28 and 29
Shearing stress distribution in typical cross-sections:
Let us cons... | 5 | [
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0.03125,
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0.041748046875,
-0.0634765625,
-0.041259765625,
-0.03662109375... | 13,862 | 13862 | |
Blackbody Radiation
Discussion
introduction
Newton's laws of motion and universal gravitation, the laws of conservation of energy and momentum, the laws of thermodynamics, and Maxwell's equations for electricity and magnetism were all more or
less nearly complete at the end of the Nineteenth Century. They describe a ... | 4 | [
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-0.04296875,
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A fast algorithm for the multiple genome rearrangement problem with weighted reversals and transpositions
Abstract
Background
Due to recent progress in genome sequencing, more and more data for phylogenetic reconstruction based on rearrangement distances between genomes become available. However, this phylogenetic
re... | 4 | [
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0.0302734375,
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0.045166015625,... | 13,864 | 13864 | |
Linear Equations and Word Problems
Algebraic Expressions
We will define the term variable which is analogous to a pronoun in grammar.
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
┃ ... | 4 | [
0.0203857421875,
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0.0201416015625,
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0.040283203125,
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-0.01470947265625,
0.0263671875,
0.0135498046875,
0.134765625,
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0.02587890625,
0.0703125,
0.06005859375,
-0.0277099609375,
0.050048828125,
... | 13,865 | 13865 | |
Is a manifold with flat ends of bounded geometry?
up vote 10 down vote favorite
2
A Riemannian manifold $(M,g)$ is said to have flat ends if the curvature tensor of $g$ vanishes outside a compact set $K$. I was wondering if such manifolds are of bounded geometry. Recall that a
manifold is of bounded geometry if
1. T... | 4 | [
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0.00390625,
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0.031982421875,
0.0223388671875,
-0.054931640625,
0.037109375,
0.028564453125,
... | 13,866 | 13866 | |
Using Binomial Expansion to Evaluate [2 + sqrt(3)]^50
Date: 11/29/2006 at 10:45:55
From: Matt
Subject: Why is (2 + root3)^50 so close to an integer?
When you work out (2 + root3)^50, why is it so close to an integer?
I have worked out (2 + root3)^50 on a computer and got the answer
39571031999226139563162735373.99999... | 5 | [
0.08056640625,
0.020263671875,
-0.0302734375,
0.027099609375,
0.0223388671875,
-0.035888671875,
-0.0186767578125,
0.0693359375,
0.02685546875,
0.1044921875,
-0.02783203125,
-0.030517578125,
-0.0595703125,
0.0279541015625,
0.045654296875,
-0.00628662109375,
-0.06884765625,
0.0000443... | 13,867 | 13867 | |
Amarillo Slim - Legends of Poker
Odds and Pot Odds
Before proceeding with this article you have to read “Outs for Dummies”, “Probabilities for Dummies” and “Pot Odds for Dummies” first. Please skip back, if you haven’t read them yet.
Good call, bad call
The pot odds are the ratio of the wager and the pot. The odds are ... | 4 | [
-0.00019931793212890625,
0.0869140625,
-0.0252685546875,
-0.01397705078125,
-0.06103515625,
0.000904083251953125,
0.057373046875,
0.06298828125,
0.07568359375,
-0.0230712890625,
-0.040283203125,
-0.038330078125,
-0.0025177001953125,
0.0213623046875,
-0.04248046875,
-0.0400390625,
0.0... | 13,868 | 13868 | |
Did the pattern of rain change in the last 100 years?
Last week
I showed rain data from six stations in Netherlands years 1906 till now. The obvious next question is; did it change? A surprisingly difficult question. The data is not normal distributed, but it is
time-correlated, location correlated.
The data
As desc... | 5 | [
0.008544921875,
-0.00994873046875,
0.1181640625,
0.052001953125,
0.06640625,
-0.026123046875,
-0.0269775390625,
-0.052734375,
-0.0118408203125,
0.043701171875,
0.01416015625,
-0.011474609375,
0.0101318359375,
0.0240478515625,
-0.047119140625,
0.031494140625,
-0.11376953125,
-0.0732... | 13,869 | 13869 | |
Practice Test on Simple Interest | Worksheet on Simple Interest |Questions on SI
Practice Test on Simple Interest
Math practice test on simple interest will help the children to learn how to calculate simple interest, principal, rate, time and amount. Before solving this practice worksheet on simple interest
student... | 4 | [
0.056884765625,
0.0234375,
-0.0169677734375,
-0.03857421875,
-0.0615234375,
-0.00799560546875,
-0.043212890625,
0.048095703125,
0.00970458984375,
0.140625,
0.04638671875,
-0.06298828125,
0.0390625,
0.02294921875,
0.01373291015625,
0.03955078125,
-0.0634765625,
-0.0263671875,
-0.0... | 13,870 | 13870 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
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Online now
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Online now
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Online now
Here's the question you clicked on:
Eyad Group Title
NOTE:This Is Not A Questi... | 4 | [
-0.1025390625,
0.04052734375,
-0.0155029296875,
0.000705718994140625,
0.022705078125,
-0.006866455078125,
0.0267333984375,
0.06640625,
-0.01446533203125,
0.05517578125,
0.05126953125,
-0.0205078125,
0.0089111328125,
-0.02099609375,
0.00787353515625,
0.10205078125,
-0.1318359375,
-0... | 13,871 | 13871 | |
Is the max of two supermodular functions supermodular?
up vote 2 down vote favorite
The supermodularity means for every $x'>x$ and $y'>y$, $$f(x',y') + f(x,y) > f(x',y) + f(x,y').$$
Suppose $f$ and $g$ are supermodular, non-negative and increasing in both arguments. Is the function $$ h(x,y) = \max\bigl( f(x,y) , g(x... | 5 | [
0.01055908203125,
-0.1318359375,
-0.037109375,
-0.11474609375,
0.0015106201171875,
0.003021240234375,
-0.043701171875,
0.015869140625,
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0.0135498046875,
-0.0257568359375,
0.1044921875,
0.0218505859375,
0.043212890625,
0.03125,
0.061767578125,
0.00112152099609375,
-0.... | 13,872 | 13872 | |
$M \oplus N$ is of finite type if $M,N$ are of finite type?
up vote 3 down vote favorite
An object $M$ of an abelian category is called of finite type iff for every directed set of subobjects $M_i$ of $M$ whose sum is $M$ there exists some $i$ with $M = M_i$. Is the direct sum $M \oplus
N$ of two objects $M,N$ of fini... | 4 | [
0.00640869140625,
-0.01953125,
0.003082275390625,
0.04248046875,
-0.01092529296875,
-0.035400390625,
0.010986328125,
-0.0400390625,
-0.0291748046875,
-0.08203125,
-0.057373046875,
-0.0625,
0.0289306640625,
0.047607421875,
-0.0038299560546875,
0.06005859375,
0.08203125,
0.0747070312... | 13,873 | 13873 | |
Latent semantic indexing
Next: References and further reading Up: Matrix decompositions and latent Previous: Low-rank approximations Contents Index
We now discuss the approximation of a term-document matrix latent semantic indexing (generally abbreviated LSI).
But first, we motivate such an approximation. Recal... | 4 | [
0.0155029296875,
-0.010009765625,
-0.013427734375,
0.00396728515625,
0.02099609375,
0.06201171875,
0.0400390625,
0.0301513671875,
0.03759765625,
0.02685546875,
0.0546875,
0.04931640625,
0.06982421875,
0.07861328125,
-0.05224609375,
-0.006591796875,
-0.0062255859375,
0.04638671875,
... | 13,874 | 13874 | |
Examples of families of stable genus 2 curves
up vote 8 down vote favorite
3
Given a smooth genus 2 curve $C$, it is canonically a two-fold cover of a $\mathbb{P}^1$, branched at six points. Allowing stable curves allows degenerations in two directions: the six points are
allowed to collide (in certain ways), and $\ma... | 4 | [
-0.048095703125,
-0.04931640625,
0.025390625,
0.0174560546875,
0.0179443359375,
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0.05810546875,
0.0277099609375,
-0.03857421875,
0.07568359375,
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-0.052734375,
-0.0089111328125,
0.0194091796875,
0.0208740234375,
-0.1513671875,
0.016357421... | 13,875 | 13875 | |
December
DARPA Challenge
At first I thought the problem list was a mildly amusing, handwaving bit of entertainment, but it turns out that the U.S.
DARPA
Mathematical Challenge has funding opportunities, open also to foreigners! And the 3 page
announcement
is the coolest I've ever seen, including the words
S... | 4 | [
-0.08349609375,
0.01904296875,
0.01483154296875,
-0.023681640625,
-0.00897216796875,
0.0096435546875,
-0.054931640625,
0.034912109375,
-0.056884765625,
0.0167236328125,
-0.080078125,
0.04296875,
-0.0238037109375,
0.023193359375,
-0.07958984375,
-0.00061798095703125,
-0.032958984375,
... | 13,876 | 13876 | |
Break-Even Method of Investment Analysis
• Print this fact sheet no. 3.759
Break-Even Method of Investment Analysis
by P.H. Gutierrez and N.L. Dalsted^* (3/12)
• A break-even point defines when an investment will generate a positive return.
• Fixed costs are not directly related to the level of production.
... | 4 | [
-0.0576171875,
0.00115203857421875,
-0.0184326171875,
0.01708984375,
0.04638671875,
-0.0380859375,
-0.0693359375,
0.0595703125,
0.0289306640625,
0.0986328125,
-0.03173828125,
-0.0245361328125,
-0.033447265625,
-0.02880859375,
-0.061279296875,
-0.06689453125,
-0.055419921875,
-0.029... | 13,877 | 13877 | |
Number of Minimal left ideals in the full matrix ring over a finite commutative local ring
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Inspired with another QUESTION I would like to know the number of minimal left idea... | 4 | [
0.03173828125,
0.03564453125,
-0.0537109375,
0.0002803802490234375,
0.045654296875,
-0.029541015625,
0.01068115234375,
0.06689453125,
0.01007080078125,
-0.0286865234375,
-0.0380859375,
0.026611328125,
0.07421875,
-0.03125,
-0.08544921875,
0.0927734375,
0.026611328125,
0.00044059753... | 13,878 | 13878 | |
Lecture 33: Left and right inverses; pseudoinverse
Yes, OK, four, three, two, one, OK, I see you guys are in a happy mood.
I don't know if that means 18.06 is ending, or, the quiz was good. Uh, my birthday conference was going on at the time of the quiz, and in the conference, of course, everybody had to say nice thin... | 4 | [
-0.035400390625,
0.00182342529296875,
0.0002803802490234375,
-0.0052490234375,
-0.01495361328125,
0.043212890625,
0.050537109375,
-0.012451171875,
-0.044189453125,
0.03466796875,
0.02001953125,
0.0277099609375,
-0.03125,
-0.044189453125,
-0.09228515625,
0.023193359375,
-0.01519775390... | 13,879 | 13879 | |
Largest eigenvalue of a periodic Jacobi matrix
up vote 2 down vote favorite
3
There is a vast literature on Jacobi matrices, I just don't know where to start looking. I'm interested in estimating the largest eigenvalue of the $n\times n$ periodic Jacobi matrix $D+P+P^{-1}$,
where $P$ is the matrix of the cyclic permut... | 5 | [
-0.0130615234375,
0.01202392578125,
-0.03173828125,
-0.052001953125,
-0.0164794921875,
-0.058349609375,
-0.013671875,
0.004913330078125,
-0.078125,
-0.0260009765625,
-0.02490234375,
0.126953125,
-0.03466796875,
-0.01177978515625,
-0.028564453125,
0.01165771484375,
0.0849609375,
0.0... | 13,880 | 13880 | |
A143223 - OEIS
A143223 (Number of primes between n^2 and (n+1)^2) - (number of primes between n and 2n). 10
0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 1, 1, 2, 2, 1, 3, 2, 3, 1, 2, 0, 0, 3, 2, 2, 2, -1, 3, 2, 3, 0, 4, 6, 0, 1, 4, 4, 1, 1, -2, -1, 3, -1, 3, 3, 1, 5, 3, 1,
3, 1, 2,... | 5 | [
0.0172119140625,
-0.02783203125,
-0.0732421875,
-0.0380859375,
-0.0277099609375,
0.0177001953125,
0.03271484375,
0.0732421875,
-0.029541015625,
-0.043701171875,
-0.05322265625,
0.091796875,
0.0196533203125,
-0.024169921875,
-0.1298828125,
-0.0306396484375,
0.040283203125,
-0.110839... | 13,881 | 13881 | |
Gausian distributions form a monoid
(And why machine learning experts should care)
HLearn library for haskell that I’ve been working on for the past few months. The idea of the library is to show that abstract algebra—specifically monoids, groups, and homomorphisms—are useful not
just in esoteric functional programmin... | 4 | [
-0.1328125,
-0.04296875,
0.03369140625,
-0.00982666015625,
-0.017822265625,
-0.0751953125,
-0.01544189453125,
-0.017822265625,
-0.01055908203125,
-0.0380859375,
0.00738525390625,
-0.01226806640625,
0.01007080078125,
-0.004180908203125,
-0.03662109375,
-0.0306396484375,
0.025146484375... | 13,882 | 13882 | |
Reynolds stress model (RSM)
From CFD-Wiki
(Difference between revisions)
(→Equations) Peter (Talk | contribs)
← Older edit
(ad... | 4 | [
-0.001220703125,
-0.0869140625,
0.050048828125,
0.10400390625,
0.05908203125,
0.003692626953125,
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0.07470703125,
0.0218505859375,
-0.0113525390625,
0.020751953125,
0.043701171875,
0.01116943359375,
-0.0014495849609375,
0.01019287109375,
0.0166015625,
-0.024658203125,
-0.... | 13,883 | 13883 | |
Inverse Of Quadratic Functions
Examples, with detailed solutions, on how to find the inverse of quadratic functions with restricted domain are presented.
Example 1: Find the inverse of the quadratic function in vertex form given by
... | 4 | [
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-0.0267333984375,
-0.025390625,
-0.0125732421875,
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-0.04296875,
0.039306640625,
0.01544189453125,
0.0191650390625,
0.0361328125,
-0.02294921875,
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-0.018798828125,
0.05126953125,
0.0712890625,
-0.005950927734375,
-0.1279296... | 13,884 | 13884 | |
What Numbers Can We Make Now?
Copyright © University of Cambridge. All rights reserved.
Henry, from St. Hugh's, answered our question at the end:
If the bags contained 3s, 7s, 11s and 15s, can you describe a quick way to check whether it is possible to choose 30 numbers that will add up to 412?
He said the following... | 4 | [
-0.022705078125,
0.060791015625,
-0.0537109375,
-0.10693359375,
-0.01275634765625,
-0.0556640625,
0.0625,
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Multiplying functions on the unit square as generalized matrices
up vote 7 down vote favorite
2
Consider the $\mathbb{R}$-vector space of sufficiently nice real-valued functions on the unit square $I^2$, where "sufficiently nice" could be taken to mean any one of a number of things - say
continuous for now.
In analog... | 4 | [
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How to compute the abelianization of the representation theory of a Hopf algebra?
up vote 5 down vote favorite
I will ask two versions of my question, which probably aren't precisely the same, and I am also interested in hearing about nuances between the two.
Version 1:
Let $(C,\otimes)$ be any monoidal category, an... | 4 | [
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From Symbolic Differential Equations to Their Numeric Solution
Once more, I am pleased to introduce guest blogger Kai Gehrs. Kai has been a Software Engineer at MathWorks for the past five years mainly working on features for the Symbolic Math Toolbox. He has a
background in mathematics and computer science and already... | 5 | [
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... | 13,888 | 13888 | |
ts
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Power 6,329 views
Power is the rate of energy use of electric circuit. The way that we calculate power is through the equation power = current x potential difference = (potential difference)^2/resistance = c... | 4 | [
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nrich.maths.org
${\bf METHOD}$ ${\bf 1}$
First she applied Brahmagupta's formula for the area of a quadrilateral:
$ \delta = \sqrt{(s - a)(s - b)(s - c)(s - d) - abcd \cos^2 \beta}$
where $ s = \frac{1}{2}(a + b + c + d)$ and $\beta = \frac{1}{2}(A + C)$ or $ \frac{1}{2}(B + D)$.
Hence the area is clearly the g... | 5 | [
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torsion free modules over general ring
up vote 0 down vote favorite
i want to know how to prove a torsion free modules over general ring is flat. (in "lecture on ring and modules, T.Y.Lam prove in case R is interal domain). please help me prove it or give me some
books or article concern this problem. Thanks!
homolog... | 5 | [
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A054404 - OEIS
A054404 Number of daughters to wait before picking in sultan's dowry problem. 11
0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20,
21, 21, 22, 22, 22, 2... | 4 | [
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Computational Complexity
Expander graphs informally are graphs that given any subset S that is not too large, the set of vertices connected to S contains a large number of vertices outside of S. There are many constructions
and applications for expander graphs leading to entire
courses
on the subject.
The adjacency ... | 4 | [
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Shoulder-Fillet Stress Calculations Clarified
Procedures for calculating shoulder-fillet stresses should take multiaxial stresses into account, even if loading is uniaxial.
Authored by:
Jessica Shapiro
jessica.shapiro@penton.com
Key points
• Shoulder fillets are notches that generate transverse stresses under axial l... | 4 | [
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The Differential Equation Model for Exponential Growth - Concept
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The Differential Equation Model for Exponential Growth - Concept 8,916 views
If a function is growing or shrinking exponentially, it can be model... | 5 | [
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Energy-Conserving Wrapped Diffuse
December 3rd, 2011 Posted in Rendering
Dec, 03 2011
I love physically-based rendering, and one of the most important aspects is making sure all your lighting is energy-conserving. Otherwise, you’re prone to end up with things that look too bright or
too dark, and struggle with consi... | 4 | [
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S
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Here's the question you clicked on:
Spartan_Of_Ares Group Title
can some one he... | 4 | [
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Question about orthogonal matching pursuit
up vote 2 down vote favorite
3
Let y be a n-vector, X a n-by-p matrix of full rank (p < n) and b a p-vector, so that y = Xb + e, for some noise vector e. I am not sure how to show reduction of error in orthogonal matching pursuit
method at some step k.
More precisely, let H_... | 5 | [
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.
3. FRW COSMOLOGICAL MODELS WITH
A homogeneous and isotropic universe is characterized by the Friedmann-Robertson-Walker line element
In this metric the Einstein equations (1) with matter in the form of a perfect fluid acquire the following simple form
Equation (4) can be recast to look like the equation of motion... | 4 | [
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