content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
universal differential envelope
nLab
universal differential envelope
Motivation
$k$-linear derivations of a (not necessarily commutative) associative unital $k$-algebra $A$ with values in $A$-bimodules are often considered: these are $k$-linear maps $d: A\to M$ satisfying the
Leibniz identity: $d(a b)=d(a) b+ a d(b)$... | 4 | [
-0.07763671875,
-0.06689453125,
-0.0196533203125,
-0.07421875,
-0.138671875,
0.0177001953125,
-0.0242919921875,
-0.027587890625,
0.05126953125,
0.020751953125,
0.052978515625,
-0.09765625,
-0.0322265625,
0.0286865234375,
0.0986328125,
0.040283203125,
-0.0216064453125,
0.134765625,
... | 12,300 | 12300 | |
How do you factorise:
16-25(a+3)(a+3)
(5x-y)(5x-y)-(y-3x)(y-3x) - Homework Help - eNotes.com
How do you factorise:
16-25(a+3)(a+3)
(5x-y)(5x-y)-(y-3x)(y-3x)
Given
16-25(a+3)(a+3) (i)
since we can write
16=4 x 4
25= 5 x 5
Also we know
`x^2-y^2=(x-y)(x+y)`
therefore given question reduces to
`4^2-5^2(a+3)^... | 4 | [
0.006103515625,
0.046142578125,
0.0238037109375,
-0.05712890625,
-0.00933837890625,
0.0230712890625,
-0.0380859375,
-0.0390625,
-0.02978515625,
0.04248046875,
0.08984375,
0.037353515625,
0.0283203125,
0.08642578125,
0.0252685546875,
0.103515625,
-0.0201416015625,
0.01324462890625,
... | 12,301 | 12301 | |
Lecture 26: Spherical Coordinates
OK, let's start. So, last week we learned how to do triple integrals in rectangular and cylindrical coordinates. And, now we have to learn about spherical coordinates, which you will see are a lot of
fun. So, what's the idea of spherical coordinates? Well, you're going to represent a p... | 5 | [
-0.022705078125,
-0.0400390625,
-0.029541015625,
-0.056396484375,
0.004852294921875,
-0.0240478515625,
0.0260009765625,
-0.0024261474609375,
0.1240234375,
0.0272216796875,
0.0155029296875,
0.0732421875,
0.03076171875,
0.0888671875,
0.049072265625,
-0.1005859375,
-0.034912109375,
0.... | 12,302 | 12302 | |
Elastic moduli
Next: Thermal strains (eigenstrains) Up: Finite element theory Previous: Electrical conductivity
The elasticity problem is set up similarly to the electrical conductivity problem, because the elastic energy stored also obeys a variational principle. The elastic energy stored is given by
where the strai... | 4 | [
-0.0260009765625,
0.057861328125,
0.01507568359375,
0.01007080078125,
0.078125,
-0.03125,
0.0859375,
0.06689453125,
-0.0303955078125,
0.01116943359375,
-0.030029296875,
-0.024169921875,
0.032958984375,
0.0791015625,
-0.0157470703125,
-0.0400390625,
-0.08251953125,
0.06494140625,
... | 12,303 | 12303 | |
Math Forum Discussions
Math Forum
Ask Dr. Math
Discussions
Internet Newsletter
MathTools
Teacher2Teacher
Teacher Exchange
Workshops
Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Topic: SNR script to run using Matlab
Replies: 2 Last Pos... | 5 | [
-0.07568359375,
0.0291748046875,
-0.045166015625,
-0.00701904296875,
0.00250244140625,
0.048583984375,
0.01324462890625,
0.0296630859375,
-0.0274658203125,
0.06640625,
0.05419921875,
0.011962890625,
0.068359375,
-0.0145263671875,
-0.00179290771484375,
0.0703125,
-0.0625,
-0.03125,
... | 12,304 | 12304 | |
Finite field arithmetic
Arithmetic in a finite field
is different from standard
arithmetic
. By definition, all operations must always yield results that remain within the field.
Notation
Although elements of a finite field can be expressed in numerical form (i.e., hexadecimal, binary, etc.), it is often found co... | 5 | [
0.0213623046875,
0.10302734375,
-0.087890625,
-0.004638671875,
-0.017578125,
-0.06298828125,
0.0152587890625,
0.0106201171875,
0.10888671875,
-0.0115966796875,
-0.0400390625,
-0.00311279296875,
0.0284423828125,
0.031982421875,
-0.0023040771484375,
0.028564453125,
-0.138671875,
0.08... | 12,305 | 12305 | |
CS70 - Lecture 7 - Feb 2, 2011 - 10 Evans
Today we will look at an algorithm used to
model traditional ways people pick their mates
source of the name "Stable Marriage Problem"
how some dating services really work
how to match hospitals and interns
how to match jobs to processors
ho... | 5 | [
-0.05126953125,
-0.0081787109375,
0.0079345703125,
-0.02099609375,
-0.057861328125,
0.05517578125,
-0.007476806640625,
-0.0079345703125,
-0.039306640625,
0.01373291015625,
-0.0830078125,
0.018798828125,
0.0113525390625,
0.0498046875,
-0.07080078125,
0.028076171875,
0.0625,
0.036376... | 12,306 | 12306 | |
proving two expressions can be squares
April 13th 2012, 01:51 PM #1
Newbie
Joined
Apr 2012
From
Ireland
Posts
7
proving two expressions can be squares
Hi,
If it is known that $(A^2+B^2)(C^2+D^2)$ is a perfect square
where A, B, C and D are integers, A and B are coprime, C and D are coprime a... | 5 | [
0.004638671875,
0.020751953125,
0.0111083984375,
-0.0103759765625,
-0.0296630859375,
0.021240234375,
-0.059326171875,
0.00921630859375,
0.034423828125,
-0.0228271484375,
-0.00799560546875,
0.034423828125,
0.02099609375,
0.03662109375,
-0.007080078125,
0.005584716796875,
-0.0011291503... | 12,307 | 12307 | |
A Neighborhood of Infinity
Introduction
The
entropy
of a probability distribution can be seen as a measure of its uncertainty or a measure of the diversity of samples taken from it. Over the years I've talked lots about how
probability theory
gives rise to a monad. This suggests the possibility that maybe the noti... | 5 | [
-0.045654296875,
-0.07470703125,
0.0206298828125,
0.032470703125,
-0.039306640625,
0.032958984375,
0.032958984375,
-0.0220947265625,
0.052001953125,
-0.04052734375,
-0.04638671875,
-0.0634765625,
0.041748046875,
0.0172119140625,
-0.0289306640625,
-0.038330078125,
0.047607421875,
0.... | 12,308 | 12308 | |
cocartesian closed category
A cocartesian closed category is a cocartesian monoidal category which is a closed monoidal category. The notion is not very interesting, however, because of the following:
Proof
Let $C$ be cocartesian closed. Since it has an initial object, it is inhabited; thus it suffices to show that b... | 4 | [
0.001220703125,
-0.027587890625,
-0.01202392578125,
-0.0263671875,
-0.09326171875,
0.0130615234375,
0.0283203125,
0.005645751953125,
0.01019287109375,
0.03125,
0.0169677734375,
-0.0576171875,
-0.1044921875,
0.01708984375,
0.1015625,
0.0181884765625,
0.0233154296875,
-0.027465820312... | 12,309 | 12309 | |
Comments on College Football Blog: MZone Speculative Fiction: The Tale of Two Coaching PossibilitiesPhil, you forgot to take the integral of sin θ. Ge...Speaking of "gone."Yost, we need to study the science behind your pos...LOL, Whet!When asked about the tragedy, Whetstonebuck stated...
tag:blogger.com,1999:... | 4 | [
-0.05712890625,
0.051513671875,
-0.03955078125,
-0.06396484375,
0.1103515625,
0.0218505859375,
0.022216796875,
0.0010223388671875,
0.0751953125,
0.01141357421875,
-0.0033416748046875,
0.0634765625,
-0.0223388671875,
0.091796875,
-0.0191650390625,
-0.0286865234375,
-0.07958984375,
-... | 12,310 | 12310 | |
extensive 2-category
Context
2-Category theory
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
Contents
Idea
The generalization of the notion of extensive category from category theory to 2-category theory.
Defi... | 4 | [
0.040283203125,
-0.07470703125,
0.0166015625,
-0.037841796875,
-0.11865234375,
-0.01251220703125,
-0.035400390625,
-0.005096435546875,
-0.023193359375,
0.022216796875,
0.0242919921875,
-0.11181640625,
-0.01123046875,
0.0296630859375,
0.08349609375,
0.1162109375,
0.0223388671875,
0.... | 12,311 | 12311 | |
th
Narrow Search
Earth and space science
Mathematics
Sort by:
Per page:
Now showing results 21-30 of 55
In this activity students convert antilogs to logs, and logs to antilogs using scientific notation as an intermediate step. They will thereby develop a look-up table for solving math problems by
using logarith... | 4 | [
0.0086669921875,
0.0311279296875,
0.0274658203125,
0.00140380859375,
-0.03857421875,
-0.1298828125,
0.000804901123046875,
0.08349609375,
0.00150299072265625,
0.07470703125,
0.0107421875,
-0.0086669921875,
-0.0277099609375,
0.0634765625,
-0.0289306640625,
-0.0458984375,
-0.11767578125... | 12,312 | 12312 | |
Sediment
Sediment Transport Approximation TOP
Once a soil particle erodes, it becomes part of the flow and is transported downstream. A particle moving past a control must have eroded somewhere in the watershed upstream of the cross section, and
it must be transported by the flow from the point of detachment to th... | 4 | [
0.00860595703125,
-0.1025390625,
0.0625,
-0.03125,
0.043701171875,
-0.0191650390625,
-0.021484375,
0.08740234375,
-0.034423828125,
0.01434326171875,
-0.0458984375,
-0.037841796875,
-0.00118255615234375,
0.04248046875,
-0.10888671875,
-0.00494384765625,
-0.0022430419921875,
0.001235... | 12,313 | 12313 | |
Handbook Of Chemical Engineering - I
240 CHEMICAL ENGINEERING
the size of the openings diminishes and the chance of the average grain being fed to any screen of the battery passing through its apertures consequently diminishes as the size of aperture decreases. Or in other words the capaci... | 4 | [
0.0341796875,
0.0311279296875,
0.0615234375,
-0.051025390625,
0.00177001953125,
-0.09716796875,
0.01708984375,
0.12451171875,
-0.00775146484375,
0.002960205078125,
-0.0118408203125,
0.0157470703125,
0.036865234375,
0.033447265625,
-0.038818359375,
-0.064453125,
0.053955078125,
0.00... | 12,314 | 12314 | |
Vierergruppe
Any four things in order ABCD can be rearranged. You could do
• ACBD — middle swap — 1324
• DBCA — end swap — 4231
• BCDA — rotation — 2341
for example.
Let’s say the four things are the four corners of a square. That’s valid, because ∃ a functor that maps {rearranging the letters ABCD} onto... | 4 | [
0.0267333984375,
0.006072998046875,
-0.006256103515625,
-0.08251953125,
-0.07666015625,
0.07666015625,
-0.0849609375,
-0.0576171875,
0.016357421875,
0.00909423828125,
0.06005859375,
0.031982421875,
-0.005645751953125,
-0.0380859375,
-0.0198974609375,
0.031494140625,
-0.06396484375,
... | 12,315 | 12315 | |
extensional type theory
Contents
Idea
Extensional type theory denotes the flavor of type theory in which identity types are demanded to be propositions / of h-level 1. In other words, they are determined by their extensions — the
collection of pairs of points which are equal. Type theory which is not extensional is c... | 4 | [
-0.0458984375,
-0.03515625,
0.06689453125,
-0.031982421875,
0.020751953125,
-0.0052490234375,
0.06298828125,
0.05859375,
0.020263671875,
-0.039794921875,
-0.023193359375,
0.0284423828125,
-0.055419921875,
0.038330078125,
0.1015625,
0.056884765625,
-0.08544921875,
-0.0341796875,
-... | 12,316 | 12316 | |
Homework Help
Posted by hy on Monday, October 25, 2010 at 12:03am.
given h(x) =kx+1, X<1
(k is constant) X^2, x > and equal to 1
A) find value of k such that h(x) is continous at x=1
B) determine if h(x) is differentiable at x=1
• calculus - MathMate, Monday, October 25, 2010 at 8:47am
a)
For h(x) to be... | 4 | [
-0.0036163330078125,
0.07373046875,
0.00653076171875,
-0.045166015625,
-0.08935546875,
0.03369140625,
0.09521484375,
-0.0155029296875,
-0.025634765625,
-0.036376953125,
0.0478515625,
-0.07080078125,
0.07275390625,
0.00019550323486328125,
-0.080078125,
0.037353515625,
-0.023193359375,... | 12,317 | 12317 | |
Attenuation Analysis of Lamb Waves Using the Chirplet Transform
Guided Lamb waves are commonly used in nondestructive evaluation to monitor plate-like structures or to characterize properties of composite or layered materials. However, the dispersive propagation
and multimode excitability of Lamb waves complicate their... | 4 | [
-0.000659942626953125,
-0.034423828125,
0.058837890625,
-0.03173828125,
-0.0308837890625,
-0.049560546875,
-0.07275390625,
-0.0029296875,
-0.0184326171875,
-0.023681640625,
0.03369140625,
0.0174560546875,
-0.07666015625,
0.00860595703125,
0.006195068359375,
-0.0341796875,
-0.03295898... | 12,318 | 12318 | |
Inequivalence of group representations preserved under tensor product?
up vote 2 down vote favorite
Let $G$ be either a finite group or a Lie group. Let $r_1$ and $r_2$ be two linear representations of $G$. $r_1$ is an ordinary representation but $r_2$ may be projective. Is there a criterion to
decide the following qu... | 4 | [
-0.0908203125,
-0.11572265625,
-0.053466796875,
0.0013427734375,
0.034912109375,
0.0228271484375,
-0.04296875,
-0.08642578125,
-0.031005859375,
-0.08447265625,
-0.03857421875,
-0.005615234375,
-0.0400390625,
0.1171875,
0.041748046875,
0.038330078125,
0.04150390625,
0.09033203125,
... | 12,319 | 12319 | |
Homework Help
Posted by Anonymous on Saturday, February 18, 2012 at 6:49pm.
An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life
of 5,730 years.
• algebra - Reiny, Satur... | 5 | [
-0.06787109375,
0.103515625,
0.0380859375,
0.047607421875,
0.047119140625,
-0.06689453125,
-0.056396484375,
0.0517578125,
-0.00738525390625,
0.0576171875,
0.09912109375,
-0.08935546875,
-0.02490234375,
0.0693359375,
-0.024658203125,
0.01953125,
-0.061767578125,
-0.08935546875,
-0... | 12,320 | 12320 | |
ional
Journal of Applied Mathematics and Stochastic Analysis
Volume 10 (1997), Issue 4, Pages 307-332
doi:10.1155/S1048953397000397
Boundedness of one-dimensional branching Markov processes
^1Moscow Institute of Transport Engineers (MIIT), The Russian Ministry of Railways, 15 Obraztsova Str., Moscow 101475, Russia
^... | 4 | [
-0.018798828125,
-0.09326171875,
0.08740234375,
0.0228271484375,
0.0267333984375,
-0.00579833984375,
0.03466796875,
0.05908203125,
0.06982421875,
0.0220947265625,
-0.06298828125,
0.09765625,
0.04736328125,
0.048095703125,
-0.019775390625,
-0.006317138671875,
-0.005950927734375,
-0.... | 12,321 | 12321 | |
higher generation by subgroups
Higher generation by subgroups
Idea
(This is partially an account of the paper by Abels and Holz (1993) listed in the references below. It is augmented with some simple examples and discussion.)
For a group $G$ and a family, $\mathcal{H}$, of subgroups of $G$, consider the nerve of the... | 4 | [
-0.1279296875,
0.005035400390625,
0.0244140625,
0.0169677734375,
-0.02001953125,
0.014892578125,
0.0712890625,
-0.0277099609375,
-0.02197265625,
-0.0166015625,
0.10546875,
-0.0859375,
-0.0177001953125,
-0.12890625,
-0.0703125,
0.010009765625,
-0.0556640625,
-0.037353515625,
-0.10... | 12,322 | 12322 | |
KINEMATICS EXAMPLE
KINEMATICS EXAMPLE 9
A student, who is running to catch his bus, sees the bus start to pull away from the stop. He is 20 m away from the stop and running at his top speed of 5 m/s. If the bus accelerates at 2 m/s^2,
can he catch the bus?
Given: (By the way, we identify the given inf... | 4 | [
-0.0223388671875,
0.030029296875,
0.019775390625,
-0.056640625,
0.035400390625,
0.0615234375,
-0.01373291015625,
-0.0014190673828125,
-0.017822265625,
0.030517578125,
0.123046875,
0.039794921875,
0.1015625,
0.036865234375,
-0.012939453125,
0.002288818359375,
0.0517578125,
0.0756835... | 12,323 | 12323 | |
Mathmatics Question?? Absolute Value and Inequalities
09-26-2004
xddxogm3
Mathmatics Question?? Absolute Value and Inequalities
Ok, I received some help earlier.
I'm hoping for some kind souls to help again.
Now I'm completely lost on a problem.
Solve and Express in interval notation.
1<=|x|<=4
... | 4 | [
0.05322265625,
0.043212890625,
0.036376953125,
-0.061279296875,
-0.06396484375,
-0.056640625,
0.0194091796875,
0.032958984375,
-0.0250244140625,
-0.0888671875,
-0.0206298828125,
-0.040771484375,
0.14453125,
0.032958984375,
-0.03759765625,
0.021484375,
0.06494140625,
-0.11474609375,... | 12,324 | 12324 | |
Double integrals where one integration order is easier
Suppose you need to calculate the double integral $\iint_\dlr f(x,y)\,dA$ for some function $f(x,y)$ and the region $\dlr$ shown below.
To calculate the double integral, you can write it as an iterated integral. For example, let's say that in the region $\dlr$, th... | 4 | [
0.02099609375,
-0.025390625,
0.0286865234375,
-0.154296875,
-0.039306640625,
-0.0308837890625,
-0.08251953125,
0.03759765625,
-0.033935546875,
-0.020263671875,
-0.047119140625,
0.07666015625,
0.03466796875,
0.039794921875,
0.11083984375,
0.04248046875,
-0.0074462890625,
0.024780273... | 12,325 | 12325 | |
coideal
nLab
coideal
Given a commutative unital ring $k$ and a coassociative $k$-coalgebra $C = (C,\Delta,\epsilon)$ with comultiplication $\Delta$ and counit $\epsilon\colon C\to k$, a $k$-submodule $I\subseteq C$ is
• a left coideal if $\Delta(I)\subseteq I\otimes C$,
• a right coideal if $\Delta(I)\subseteq C... | 4 | [
0.0027313232421875,
0.005218505859375,
-0.033447265625,
-0.044189453125,
-0.0810546875,
0.041259765625,
0.07666015625,
-0.006439208984375,
-0.0341796875,
-0.080078125,
0.022705078125,
-0.1337890625,
-0.0223388671875,
0.0101318359375,
0.0113525390625,
-0.024658203125,
0.03271484375,
... | 12,326 | 12326 | |
Measuring specialization in species interaction networks
Abstract
Background
Network analyses of plant-animal interactions hold valuable biological information. They are often used to quantify the degree of specialization between partners, but usually based on qualitative
indices such as 'connectance' or number of li... | 4 | [
0.0791015625,
-0.0272216796875,
0.03173828125,
0.006805419921875,
0.0247802734375,
-0.0172119140625,
0.0281982421875,
-0.01556396484375,
0.07763671875,
-0.0211181640625,
0.003814697265625,
-0.03564453125,
0.002532958984375,
0.054443359375,
-0.0654296875,
0.03466796875,
-0.00140380859... | 12,327 | 12327 | |
Navier-Stokes equations
From CFD-Wiki
(Difference between revisions)
(→References) (→Derivation of the energy equation)
← Older edit Newer edit →
Line 607: Line 607:
</math> </math>
... | 4 | [
-0.06591796875,
0.00058746337890625,
0.00537109375,
0.01416015625,
0.03515625,
0.02294921875,
-0.06298828125,
0.050048828125,
-0.04443359375,
0.0013275146484375,
0.01324462890625,
-0.0032196044921875,
0.006072998046875,
0.01092529296875,
-0.032958984375,
0.038330078125,
-0.1103515625... | 12,328 | 12328 | |
some arguments concerning forcing over V
up vote 0 down vote favorite
In some papers, the author wants to show 1 forces (A implies B), i.e., for every generic G, (A implies B) holds in V[G], as follows: Suppose 1 forces A, then let G be a generic filter over V and show
B holds in V[G], done. (For example, to show Lind... | 5 | [
-0.054931640625,
-0.0296630859375,
0.111328125,
0.0224609375,
0.130859375,
0.1123046875,
0.050048828125,
-0.03515625,
0.02099609375,
0.0228271484375,
-0.0517578125,
-0.0101318359375,
0.01416015625,
-0.00732421875,
0.01348876953125,
0.013671875,
0.02001953125,
-0.061279296875,
0.0... | 12,329 | 12329 | |
Kissler: Bacterial Floc Structure
From MathBio
This page summarizes Stephen Kissler's work on characterizing bacterial floc structure.
Please note that this page is currently under construction.
Introduction
This research focuses on determining the fractal dimension of bacterial flocs and characterizing floc... | 4 | [
-0.031005859375,
-0.09375,
-0.018798828125,
0.05126953125,
0.017578125,
-0.0164794921875,
-0.037841796875,
0.056640625,
0.0810546875,
-0.05224609375,
-0.01251220703125,
-0.11181640625,
-0.059326171875,
0.12158203125,
-0.0296630859375,
-0.09326171875,
-0.0135498046875,
0.02807617187... | 12,330 | 12330 | |
Monoids for Programmers: A Scala Example - Safari Blog
Monoids for Programmers: A Scala Example
The term monoid frustrates a lot of programmers who otherwise are pretty versatile with higher-order generics, mutexes and even XSLT. This blog post will show how using monoids can be very simple and
practical. Monoids are ... | 4 | [
-0.0908203125,
0.007080078125,
0.01953125,
-0.0211181640625,
-0.1318359375,
-0.0869140625,
-0.01287841796875,
0.00921630859375,
0.0260009765625,
-0.00860595703125,
-0.049560546875,
-0.0225830078125,
0.00860595703125,
0.04736328125,
0.0322265625,
0.01495361328125,
-0.0390625,
0.0683... | 12,331 | 12331 | |
Ocean simulation part one: using the discrete Fourier transform
In this post we will implement the statistical wave model from the equations in Tessendorf's paper[1] on simulating ocean water. We will implement this model using a discrete Fourier transform. In
part two we will begin with the same equations but provide ... | 4 | [
-0.09375,
0.03076171875,
0.07080078125,
-0.040283203125,
-0.005218505859375,
-0.057861328125,
-0.01141357421875,
-0.06640625,
0.016357421875,
-0.0244140625,
0.01220703125,
-0.0703125,
-0.0031890869140625,
0.0086669921875,
0.0294189453125,
0.0458984375,
0.016845703125,
0.00364685058... | 12,332 | 12332 | |
Pythagorean Triple with 71
Date: 12/07/97 at 00:46:00
From: Katherine Lok
Subject: Pythagorean Triple
How to find a Pythagorean triple that contains 71 or prove that
there is none?
Date: 12/07/97 at 03:08:24
From: Doctor Pete
Subject: Re: Pythagorean Triple
There is indeed at least one Pythagorean triple with 71 ... | 4 | [
-0.007049560546875,
0.06591796875,
-0.02880859375,
0.0208740234375,
-0.0546875,
0.03515625,
-0.03173828125,
-0.024658203125,
-0.015869140625,
-0.01141357421875,
-0.06591796875,
-0.0205078125,
-0.0108642578125,
0.024169921875,
0.0301513671875,
-0.0703125,
0.0103759765625,
-0.0251464... | 12,333 | 12333 | |
nergy and
Work, Energy and Power
This page supports the multimedia tutorial Energy and Power
This page gives a background to some of the clips shown in the multimedia tutorial.
We all know about physical work, so we started the tutorial with this example, which also gives an idea of the size of the quantities invol... | 5 | [
-0.0294189453125,
0.064453125,
-0.033935546875,
0.06103515625,
-0.049072265625,
-0.091796875,
0.06689453125,
0.00616455078125,
-0.0220947265625,
0.009033203125,
0.0263671875,
0.02099609375,
0.038818359375,
0.0257568359375,
-0.09521484375,
0.007080078125,
0.0289306640625,
0.06396484... | 12,334 | 12334 | |
isomorphismes
Posts tagged with functions
Monotone and antitone functions
(not over ℝ just the domain you see = 0<x<1⊂ℝ)
These are examples of invertible functions.
(Source: talizmatik)
hi-res
Three different ways of looking at a 𝔸²→𝔸¹ function:
• colour the plane
• number the plane
• heights in... | 4 | [
-0.09619140625,
-0.0693359375,
0.03857421875,
0.0152587890625,
-0.04296875,
-0.08349609375,
-0.01202392578125,
-0.045166015625,
0.0279541015625,
0.001251220703125,
0.017822265625,
-0.031982421875,
-0.0118408203125,
0.006744384765625,
0.0263671875,
-0.014892578125,
0.047607421875,
-... | 12,335 | 12335 | |
Pascal's Principle
Name: David
Status: other
Grade: other
Location: CA
Country: N/A
Date: 8/17/2005
Question: When I stand on a collapsible water container with a rigid flat surface on top for even... | 4 | [
-0.04248046875,
0.06689453125,
-0.04150390625,
-0.022216796875,
-0.014892578125,
-0.0478515625,
0.06396484375,
0.04833984375,
-0.064453125,
-0.0233154296875,
-0.06689453125,
0.03564453125,
0.037353515625,
0.033447265625,
0.0184326171875,
-0.06787109375,
-0.052978515625,
0.107421875... | 12,336 | 12336 | |
cubical set
Context
Homotopy theory
Background
Variations
Definitions
Paths and cylinders
Homotopy groups
Theorems
Contents
Definition
A cubical set is a presheaf on the cube category $\Box$.
Idea
The definition is to be understood from the point of view of space and quantity: a cubical set is a space chara... | 4 | [
0.0257568359375,
-0.04296875,
-0.051025390625,
0.039306640625,
-0.059326171875,
0.07275390625,
-0.01324462890625,
-0.017333984375,
0.0546875,
-0.0556640625,
-0.04248046875,
-0.0172119140625,
-0.0269775390625,
-0.01263427734375,
0.033935546875,
-0.044921875,
0.02490234375,
0.0551757... | 12,337 | 12337 | |
j2kun
A while back I announced a preprint of a paper on coloring graphs with certain resilience properties. I’m pleased to announce that it’s been accepted to the Mathematical Foundations of Computer
Science 2014, which is being held in Budapest this year. Since we first published the preprint we’ve actually proved som... | 4 | [
-0.058349609375,
-0.001739501953125,
-0.0181884765625,
0.00634765625,
0.0167236328125,
0.06982421875,
0.03173828125,
0.0234375,
-0.01080322265625,
0.050537109375,
-0.1083984375,
0.058837890625,
0.134765625,
0.057373046875,
0.0120849609375,
0.0247802734375,
-0.000576019287109375,
0.... | 12,338 | 12338 | |
When is Ext*(M,N) finitely generated as a Ext*(M,M) module?
up vote 11 down vote favorite
Let A be a finite dimensional algebra over a field k and M,N a finitely generated A-module. Im searching for examples where the module $ Ext^{o} (M,N) $ is a finitely generated $ Ext^{o}(M,M) $
-module(via yonedaproduct) for ever... | 4 | [
-0.06494140625,
-0.006805419921875,
-0.083984375,
0.1015625,
0.01953125,
-0.01116943359375,
-0.042236328125,
0.0159912109375,
0.0341796875,
-0.054443359375,
0.08984375,
-0.0027313232421875,
-0.01251220703125,
-0.0272216796875,
0.029296875,
0.10302734375,
-0.031982421875,
0.09228515... | 12,339 | 12339 | |
polygons and polyhedra : paul scott : 59 stellations of the icosahedron II
59 STELLATIONS OF
THE ICOSAHEDRON :
... | 4 | [
-0.06591796875,
-0.00921630859375,
-0.02734375,
-0.0306396484375,
-0.07763671875,
-0.06591796875,
0.0040283203125,
0.03125,
-0.0211181640625,
0.1162109375,
-0.0093994140625,
-0.1025390625,
-0.053466796875,
-0.0106201171875,
0.0286865234375,
-0.07470703125,
-0.046875,
-0.06884765625... | 12,340 | 12340 | |
coequalizer
Split coequalisers
Definition
For purposes of this page, a fork (some might say a “cofork”) in a category $C$ is a diagram of the form
$A \;\underoverset{f}{g}{\rightrightarrows}\; B \overset{e}{\rightarrow} C$
such that $e f = e g$. A split coequalizer is a fork together with morphisms $s\colon C\to B... | 4 | [
-0.017822265625,
-0.005096435546875,
0.054443359375,
-0.0517578125,
-0.0101318359375,
0.043701171875,
-0.05029296875,
0.061767578125,
-0.03955078125,
0.0294189453125,
-0.035888671875,
-0.12890625,
0.0230712890625,
-0.0040283203125,
0.04052734375,
0.025146484375,
0.036865234375,
-0.... | 12,341 | 12341 | |
Babylonian numerals
Babylonian index History Topics Index
Version for printing
The Babylonian civilisation in Mesopotamia replaced the Sumerian c... | 4 | [
-0.02392578125,
0.080078125,
-0.04052734375,
-0.07421875,
-0.115234375,
-0.0108642578125,
-0.03466796875,
0.05908203125,
0.0576171875,
0.03759765625,
-0.031494140625,
-0.0125732421875,
0.00994873046875,
-0.0595703125,
-0.055419921875,
-0.1181640625,
-0.09033203125,
0.032470703125,
... | 12,342 | 12342 | |
Azumaya algebra
Context
Algebra
Algebraic theories
Algebras and modules
Higher algebras
Model category presentations
Geometry on formal duals of algebras
Theorems
Contents
Definition
Traditional
Given a commutative unital ring $R$, an Azumaya $R$-algebra is a (noncommutative in general) $R$-algebra $A$ which... | 4 | [
-0.0213623046875,
-0.0380859375,
-0.1171875,
-0.060302734375,
-0.0084228515625,
0.0194091796875,
0.06640625,
0.01507568359375,
0.0172119140625,
-0.01202392578125,
-0.003204345703125,
-0.03857421875,
0.010986328125,
0.0211181640625,
0.08203125,
0.0050048828125,
0.0301513671875,
0.01... | 12,343 | 12343 | |
tropical geometry
nLab
tropical geometry
Tropical geometry is often thought of as the algebraic geometry over the tropical semiring. A good part of it is combinatorial in nature, with relations to the (geometry and combinatorics of)
polyhedra and toric geometry. Recently it found applications in explaining mirror symm... | 5 | [
0.0439453125,
0.0166015625,
0.0022430419921875,
-0.01806640625,
-0.058349609375,
-0.0206298828125,
-0.057861328125,
-0.004180908203125,
0.05078125,
0.060546875,
0.02685546875,
-0.0458984375,
-0.0791015625,
0.0279541015625,
0.0654296875,
0.0478515625,
-0.06689453125,
-0.026977539062... | 12,344 | 12344 | |
Fréchet space
Context
Functional analysis
Overview diagrams
Basic concepts
Theorems
Topics in Functional Analysis
Differential geometry
Fréchet spaces
Idea
Fréchet spaces are particularly well-behaved topological vector spaces (TVSes). Every Cartesian space is a Fréchet space, but there are also infinite-dimen... | 4 | [
-0.04345703125,
-0.062255859375,
-0.00653076171875,
-0.05810546875,
0.006011962890625,
0.031982421875,
0.0184326171875,
0.015869140625,
0.07470703125,
-0.0267333984375,
0.02099609375,
0.0225830078125,
-0.021240234375,
0.01708984375,
0.0419921875,
-0.07568359375,
-0.00136566162109375,... | 12,345 | 12345 | |
Ideals in the ring of smooth endomorphisms of the real line
up vote 3 down vote favorite
1
My question is coming from the method Reid and Chris suggested in solving the problem here. Help on any point is greatly appreciated!
Question 1. For a real manifold $M$, consider $C^{\infty}(M,\mathbb{R})$. For a point $p\in M... | 5 | [
-0.0021514892578125,
0.08154296875,
-0.00628662109375,
0.032470703125,
0.029052734375,
0.0322265625,
0.05810546875,
0.08251953125,
-0.02490234375,
-0.0537109375,
0.0634765625,
0.00567626953125,
-0.037353515625,
-0.03173828125,
-0.056884765625,
0.01123046875,
-0.03515625,
-0.0021667... | 12,346 | 12346 | |
Creating Tangents to Circles
Associated Topics || Dr. Math Home || Search Dr. Math
Creating Tangents to Circles
Da... | 4 | [
0.00946044921875,
-0.0556640625,
-0.064453125,
-0.0107421875,
-0.010009765625,
-0.0118408203125,
0.0225830078125,
0.049560546875,
0.0196533203125,
-0.00543212890625,
0.020751953125,
-0.06201171875,
-0.0076904296875,
0.0556640625,
0.0849609375,
0.059814453125,
-0.1142578125,
0.05932... | 12,347 | 12347 | |
Chongzhi
Zu Chongzhi
Born: 429 in Jiankang, (now Nanking, Kiangsu province), China
Died: 501 in China
Zu Chongzhi's name is sometimes written as Tsu Ch'ung Chi. He came from a famous family who were originally from Hopeh pr... | 4 | [
-0.09814453125,
0.083984375,
0.0174560546875,
-0.0203857421875,
-0.06201171875,
0.0191650390625,
0.057861328125,
-0.00762939453125,
-0.021240234375,
-0.030517578125,
0.09423828125,
-0.05224609375,
0.05517578125,
-0.049072265625,
-0.01519775390625,
-0.017578125,
-0.07666015625,
-0.0... | 12,348 | 12348 | |
naly
Previous Article
Next Article
Contents of this Issue
Other Issues
ELibM Journals
ELibM Home
EMIS Home
The Generalized Riemann-Hilbert Boundary Value Problem for Non-Homogeneous Polyanalytic Differential Equation of Order $n$ in the Sobolev Space $W_{n,p}(D)$
Ali Seif Mshimba
University of Dar es Salaam, D... | 4 | [
-0.1328125,
-0.03662109375,
0.078125,
0.01708984375,
-0.00090789794921875,
0.041748046875,
0.02978515625,
-0.031494140625,
0.03857421875,
-0.07958984375,
-0.061279296875,
0.031982421875,
-0.056884765625,
0.032470703125,
-0.0361328125,
-0.007415771484375,
-0.0263671875,
-0.034912109... | 12,349 | 12349 | |
Infinite and Transfinite Numbers
Date: 5/28/96 at 13:49:24
From: Richard Adams
Subject: What is difference between infinite and transfinite?
Can anyone explain to me, in a simple way, what transfinite
numbers are and how they're different from infinite numbers?
I seem to recall reading that someone (Hilbert?), found... | 4 | [
-0.08349609375,
-0.039794921875,
0.013671875,
0.0145263671875,
0.00909423828125,
-0.00634765625,
0.019287109375,
0.055908203125,
0.053466796875,
-0.0225830078125,
-0.042724609375,
-0.0228271484375,
-0.03076171875,
0.0198974609375,
-0.07763671875,
-0.0262451171875,
-0.035400390625,
... | 12,350 | 12350 | |
Hilbert Space as direct sum of subspaces with cyclic vectors
up vote 2 down vote favorite
Ok,so this should be easy, however I havent taken functional analysis for a while. But given a compact self-adjoint operator on a hilbert space H(over the complex numbers), we define v to be a cyclic
vector if and only if the fam... | 4 | [
-0.08056640625,
0.031005859375,
0.0257568359375,
0.056640625,
-0.08837890625,
0.10107421875,
0.04052734375,
-0.0615234375,
0.003326416015625,
-0.06982421875,
0.053466796875,
-0.0537109375,
0.00299072265625,
-0.006011962890625,
-0.018798828125,
-0.018798828125,
-0.058349609375,
0.02... | 12,351 | 12351 | |
Solutions to some equations in a free group
up vote 11 down vote favorite
3
Let $F$ be the free group on (say) two generators, $a$ and $b$. Let $A$ and $B$ be (freely reduced) elements of $F$. Let $W(X, Y)$ denote a word on the words $X, Y$.
-Is it ever true that the equation $W(a, b) = W(A, B)$, has finitely many no... | 5 | [
-0.07958984375,
-0.03857421875,
-0.072265625,
0.07568359375,
-0.025146484375,
0.0177001953125,
0.03466796875,
-0.1494140625,
-0.03369140625,
0.005859375,
0.032470703125,
0.0011138916015625,
0.035888671875,
0.0179443359375,
0.06640625,
0.2041015625,
-0.03173828125,
0.002975463867187... | 12,352 | 12352 | |
Introduction to Imaginary Numbers - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Introduction to Imaginary Numbers - Concept 17,587 views
An imaginary number bi has two parts: a real number, b, and an imaginary part, i, defined as i^2 = -1. Imagin... | 4 | [
-0.0458984375,
0.042236328125,
0.01275634765625,
0.103515625,
-0.12109375,
-0.035400390625,
0.044921875,
0.0693359375,
0.1181640625,
-0.01519775390625,
0.0294189453125,
0.040771484375,
0.08447265625,
0.1025390625,
-0.009033203125,
0.0140380859375,
-0.0595703125,
0.0419921875,
-0.... | 12,353 | 12353 | |
nth moments using moment generating functions
May 29th 2011, 08:15 AM #1
Member
Joined
Aug 2010
Posts
77
nth moments using moment generating functions
For a standard random variable Z let $\mu_n = E[Z^n]$
Show that:
$\mu_n = 0$ when n is odd
$\mu_n = \frac{(2j)!}{2^jj!} \when\ n=2j$
I s... | 5 | [
-0.058837890625,
-0.02099609375,
0.036376953125,
0.038330078125,
0.01153564453125,
-0.034912109375,
0.0098876953125,
0.0103759765625,
0.048583984375,
0.058837890625,
0.058837890625,
-0.07275390625,
-0.04736328125,
-0.0240478515625,
-0.010009765625,
-0.0123291015625,
-0.005859375,
0... | 12,354 | 12354 | |
.
5. MEAN FIELD DYNAMOS AND GALACTIC MAGNETISM
A remarkable change in the turbulent dynamo action occurs if the turbulence is helical. This can be clearly seen for example in the simulations by Brandenburg [19], where a large scale field, on the
scale of the box develops when a helical forcing is employed, even thoug... | 4 | [
-0.0281982421875,
0.06591796875,
0.0673828125,
0.043212890625,
0.01287841796875,
0.01025390625,
-0.11474609375,
-0.0264892578125,
0.0245361328125,
-0.053955078125,
-0.0556640625,
0.00714111328125,
0.06201171875,
-0.11962890625,
0.02490234375,
-0.037353515625,
-0.03466796875,
-0.017... | 12,355 | 12355 | |
Number of relations and free subgroups
up vote 5 down vote favorite
1
Is there a function $f$ such that for any presentation $$G=\langle x_1,\ldots,x_n \mid r_1,\ldots,r_k\rangle\quad \text{with}\quad |r_i|\leq 3$$
$k\leq f(n)$ implies that $G$ has non-abelian free subgroups.
Of course $f=0$ works trivially, I am as... | 4 | [
-0.09033203125,
-0.049072265625,
-0.03271484375,
0.043701171875,
0.06396484375,
0.02490234375,
-0.03857421875,
-0.042724609375,
0.03173828125,
0.0260009765625,
0.05419921875,
-0.08740234375,
0.00823974609375,
-0.060546875,
0.04296875,
0.00653076171875,
-0.040283203125,
-0.001251220... | 12,356 | 12356 | |
special extremally disconnected spaces with only finite isolated points
up vote 2 down vote favorite
We Know that a cardinal $\kappa$ is measurable if there is a set $X$ with cardinal $\kappa$ and a {0,1}-measure $\mu: P(X) \rightarrow ${$0,1$} so that for all $x \in X$, $\mu(x)=0$ and $\mu(X)=1$.
also a cardinal whic... | 4 | [
0.06298828125,
-0.055419921875,
0.00579833984375,
0.031982421875,
0.051513671875,
0.00531005859375,
0.109375,
0.05029296875,
0.0810546875,
0.00897216796875,
-0.050537109375,
-0.049072265625,
0.0228271484375,
0.0751953125,
-0.01171875,
-0.08837890625,
0.06494140625,
0.006103515625,
... | 12,357 | 12357 | |
Are tensor products in QM unnatural?
Off-topic: Your humble correspondent will be incorporated in the next edition of the Holy Scripture
One aspect of quantum mechanics that makes beginners – including permanent beginners – feel uncomfortable is the fact that its "space of possible states" seems too large to them.... | 4 | [
-0.03857421875,
-0.08349609375,
-0.0123291015625,
-0.021728515625,
-0.039794921875,
0.08154296875,
-0.058837890625,
0.0037078857421875,
-0.022216796875,
0.0029754638671875,
-0.036865234375,
0.0106201171875,
-0.0186767578125,
0.057861328125,
0.025146484375,
0.080078125,
0.030883789062... | 12,358 | 12358 | |
Not Another NAND!
Copyright © University of Cambridge. All rights reserved.
Steve looked at making each type of gates from NANDs
I used the circuit maker to investigate. I first made a circuit which seemed symmetrical in the NAND gates. This matched the AND gate, as shown here:
I then realised that directing the sam... | 4 | [
-0.06005859375,
-0.0634765625,
-0.025634765625,
-0.0634765625,
0.008056640625,
-0.062255859375,
0.0164794921875,
-0.11962890625,
0.03759765625,
0.059814453125,
0.05078125,
-0.04150390625,
0.057861328125,
0.0257568359375,
0.02001953125,
0.0888671875,
-0.09130859375,
-0.0065612792968... | 12,359 | 12359 | |
A solvable model for the diffusion and reaction of neurotransmitters in a synaptic junction
Abstract
Background
The diffusion and reaction of the transmitter acetylcholine in neuromuscular junctions and the diffusion and binding of Ca^2+ in the dyadic clefts of ventricular myocytes have been extensively
modeled by Mo... | 4 | [
-0.013671875,
-0.10205078125,
0.0177001953125,
0.004241943359375,
-0.07470703125,
-0.060546875,
0.015869140625,
0.052978515625,
0.06591796875,
-0.004150390625,
0.041748046875,
-0.0289306640625,
0.0118408203125,
0.09912109375,
-0.017333984375,
-0.0216064453125,
-0.049560546875,
0.00... | 12,360 | 12360 | |
Projectile Velocity and Vectors
Associated Topics || Dr. Math Home || Search Dr. Math
Projectile Velocity and Vectors
... | 4 | [
0.0272216796875,
0.09814453125,
0.0172119140625,
-0.035400390625,
-0.04931640625,
0.01806640625,
-0.0458984375,
0.06591796875,
-0.053466796875,
0.044189453125,
0.09130859375,
0.01171875,
-0.005096435546875,
0.05029296875,
-0.004608154296875,
0.01226806640625,
-0.04296875,
-0.007293... | 12,361 | 12361 | |
Infinite Series of 2F1
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I will be grateful for any ideas to solve the series
$$\sum^\infty_{k=0}\frac{x^k z^k}{k!} \frac{\Gamma(1+a+2k)}{\Gamma... | 5 | [
-0.05322265625,
-0.022705078125,
-0.033935546875,
0.050537109375,
-0.0157470703125,
0.019287109375,
0.01519775390625,
-0.0311279296875,
0.0255126953125,
0.047119140625,
0.02587890625,
-0.05615234375,
0.028564453125,
-0.0162353515625,
-0.04052734375,
0.007781982421875,
0.04296875,
0... | 12,362 | 12362 | |
Characteristic classes of lifted bundles
up vote 5 down vote favorite
3
Suppose $V$ is a vector bundle with structure group $SO(3)$, and suppose that it can be lifted to a $\text{Spin}(3) = SU(2)$ bundle (i.e. $w_2(V) = 0$). Let us call the lifted bundle $E$. Then it is
stated on page 42 in The Geometry of Four-Manifo... | 5 | [
-0.11962890625,
0.02734375,
0.0751953125,
0.0322265625,
0.033447265625,
0.0927734375,
-0.006622314453125,
0.02880859375,
-0.0225830078125,
-0.0113525390625,
0.1103515625,
-0.034423828125,
-0.07666015625,
-0.00726318359375,
0.03466796875,
0.03759765625,
-0.061279296875,
0.0244140625... | 12,363 | 12363 | |
Regression Tree Using Gini’s Index
In order to illustrate the construction of regression tree (using the CART methodology), consider the following simulated dataset,
> set.seed(1)
> n=200
> X1=runif(n)
> X2=runif(n)
> P=.8*(X1<.3)*(X2<.5)+
+ .2*(X1<.3)*(X2>.5)+
+ .8*(X1>.3)*(X1<.85)*(X2<.3)+
+ .2*(X1>.3)*(X1<.8... | 5 | [
-0.007354736328125,
-0.01263427734375,
0.01202392578125,
0.05224609375,
0.0517578125,
-0.03515625,
0.00457763671875,
0.06640625,
-0.0052490234375,
0.059814453125,
-0.01611328125,
0.033935546875,
0.000736236572265625,
-0.0047607421875,
0.0164794921875,
0.076171875,
-0.04833984375,
0... | 12,364 | 12364 | |
Statistical independence
In
probability theory
, to say that two
events
are
independent
intuitively means that knowing whether or not one of them occurs makes it neither more probable nor less probable that the other occurs. For example, the event of getting a "1" when a die is thrown
and the event of getting a ... | 4 | [
-0.021728515625,
-0.0771484375,
-0.02685546875,
0.05712890625,
0.07568359375,
0.034912109375,
0.048583984375,
-0.0260009765625,
0.16015625,
0.005218505859375,
0.029296875,
0.0128173828125,
0.10302734375,
0.001861572265625,
0.0458984375,
-0.053466796875,
-0.062255859375,
-0.01879882... | 12,365 | 12365 | |
References about pseudoeffective cone
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
I'm looking for references of explicit computation of the pseudoeffective cone $\overline{\text{Eff}}(X)$ of a projective variety $X$.
... | 5 | [
-0.06201171875,
-0.06884765625,
0.023193359375,
0.032958984375,
-0.0264892578125,
-0.019775390625,
0.03173828125,
0.0576171875,
-0.042236328125,
0.08740234375,
0.0223388671875,
0.0032958984375,
0.0169677734375,
0.00150299072265625,
-0.052001953125,
-0.0177001953125,
0.015625,
0.007... | 12,366 | 12366 | |
History Of The Theory Of Numbers - I
CHAP. xiV] METHODS OF FACTORING. 367
-AO = 10:r2-12x-4, whence 12z+4 is divisible by 10, so that z = 5d— 2. Then A = 25d2 —26d+6. Thus if we delete the last two digits 7 , 6 of squares -476, we obtain numbers A whose values for d=T... | 4 | [
-0.0576171875,
0.040771484375,
0.0264892578125,
-0.032958984375,
0.037353515625,
0.0654296875,
-0.00885009765625,
0.06396484375,
0.0011444091796875,
0.0286865234375,
0.0106201171875,
0.1435546875,
0.03955078125,
0.0260009765625,
-0.0673828125,
-0.072265625,
-0.07763671875,
0.048339... | 12,367 | 12367 | |
A robust and efficient statistical method for genetic association studies using case and control samples from multiple cohorts
Abstract
Background
The theoretical basis of genome-wide association studies (GWAS) is statistical inference of linkage disequilibrium (LD) between any polymorphic marker and a putative disea... | 4 | [
-0.033935546875,
-0.040283203125,
0.039794921875,
0.058837890625,
0.061767578125,
0.009765625,
0.0308837890625,
0.0087890625,
-0.029296875,
-0.035888671875,
0.061767578125,
-0.04345703125,
0.008544921875,
-0.0274658203125,
-0.0673828125,
0.06298828125,
-0.017578125,
0.0208740234375... | 12,368 | 12368 | |
Big M Method
The method is also known as 'penalty method' due to Charnes. If there is ≥ type constraint, we add surplus variable and if there.is '=' type, then the constraint is in equilibrium. Generally, in
these cases there may not be any unit matrix in the standard form of the coefficient matrix.
To bring unit matr... | 5 | [
0.041015625,
0.032958984375,
-0.0693359375,
-0.06640625,
-0.0169677734375,
0.044921875,
-0.0186767578125,
0.05517578125,
-0.12158203125,
0.095703125,
0.026611328125,
0.0458984375,
0.07470703125,
-0.015869140625,
-0.05029296875,
0.027099609375,
0.109375,
-0.0098876953125,
-0.02026... | 12,369 | 12369 | |
Matrices
In mathematics, a matrix is a rectangular table of elements, which may be numbers or, more generally, any abstract quantities that can be added and multiplied. Matrices are used to describe linear
equations, keep track of the coefficients of linear transformations and to record data that depend on multiple par... | 4 | [
-0.04248046875,
0.004547119140625,
-0.1826171875,
-0.013916015625,
-0.05810546875,
0.001373291015625,
-0.0108642578125,
-0.04248046875,
0.016845703125,
0.00115966796875,
0.015869140625,
0.0615234375,
0.022216796875,
-0.00732421875,
-0.045654296875,
0.043701171875,
0.0167236328125,
... | 12,370 | 12370 | |
Finding coefficients of linear combination of independent rows in matrix
up vote 0 down vote favorite
Doing project in Java. I use Gauss Jordain algorithm to find which rows and columns of a matrix are linearly independent and which are linear combinations of the independent ones. I can find rank by
rows and columns.
... | 4 | [
-0.017578125,
-0.0048828125,
-0.1298828125,
-0.038330078125,
0.0238037109375,
0.04638671875,
-0.076171875,
-0.025634765625,
-0.10595703125,
0.032958984375,
0.021728515625,
0.012451171875,
0.0908203125,
-0.032470703125,
-0.08154296875,
-0.034423828125,
-0.0390625,
0.09716796875,
0... | 12,371 | 12371 | |
Paul Magnano:Assignment Week 2
From OpenWetWare
Assignment week 2
Question 1
dcdt = q*u - q*c -((y*c)/(K+c));
dydt = (y*r*c)/(K+c) - q*y
• variables
□ q*u= inflow rate
□ q*c=outflow rate
□ r=net rate of yeast population growth
□ y=yeast population
□ c=nutrient concentration
□... | 4 | [
-0.0791015625,
0.002227783203125,
-0.0167236328125,
-0.042236328125,
0.05712890625,
-0.06494140625,
-0.044677734375,
0.0771484375,
-0.0052490234375,
0.058837890625,
0.0556640625,
-0.055419921875,
-0.0185546875,
0.044189453125,
-0.052978515625,
-0.023193359375,
-0.0576171875,
-0.063... | 12,372 | 12372 | |
Calculus Archive | August 24, 2011 | Chegg.com
Calculus Archive: Questions from August 24, 2011
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
1 answer
• Anonymous asked
2 answers
• Anonymous asked
1 answer
• Anonymous asked
2 answers
• Anonymo... | 4 | [
0.01275634765625,
-0.0032196044921875,
-0.00323486328125,
0.00482177734375,
-0.0791015625,
-0.061279296875,
-0.058349609375,
0.06884765625,
-0.01458740234375,
0.000659942626953125,
0.0030517578125,
-0.042236328125,
-0.0203857421875,
0.01513671875,
-0.01507568359375,
-0.00787353515625,
... | 12,373 | 12373 | |
ODEs
March 6th 2011, 01:37 PM
Darkprince
ODEs
For a sphere of radius r the volume is V=4/3*Pi*r^3 and the surface area is A=4*Pi*r^2
Write and solve an ODE for r(t) under the following assumptions
a) The rate of change of the radius is proportional to the surface area.
b) The rate of change of the ... | 5 | [
-0.035888671875,
-0.004669189453125,
0.019775390625,
-0.013671875,
0.00848388671875,
-0.0244140625,
-0.049560546875,
0.0294189453125,
0.046142578125,
0.052734375,
0.0031585693359375,
-0.032470703125,
0.0301513671875,
0.047607421875,
-0.0262451171875,
-0.006927490234375,
0.01385498046... | 12,374 | 12374 | |
v
An Exhalent Problem for Teaching Statistics
Michael Kahn
Wheaton College
Journal of Statistics Education Volume 13, Number 2 (2005), www.amstat.org/publications/jse/v13n2/datasets.kahn.html
Copyright © 2005 by Michael Kahn, all rights reserved. This text may be freely shared among individuals, but it may not be r... | 5 | [
0.053466796875,
0.08447265625,
0.019775390625,
0.05615234375,
0.01214599609375,
0.005615234375,
0.007049560546875,
0.033935546875,
0.0277099609375,
0.018310546875,
0.06787109375,
-0.002532958984375,
0.046875,
0.06201171875,
0.01190185546875,
-0.016357421875,
-0.003509521484375,
0.0... | 12,375 | 12375 | |
superconnection
Context
Super-Geometry
and
Formal context
Superalgebra
Supergeometry
Structures
Applications
Contents
Idea
The notion of superconnection generalizes the notion of connection on a bundle from the context of differential geometry to that of supergeometry.
An ordinary connection on a vectorbundl... | 4 | [
-0.10693359375,
-0.1171875,
-0.0263671875,
-0.0294189453125,
-0.038330078125,
0.05517578125,
0.0228271484375,
0.07177734375,
-0.03369140625,
-0.0184326171875,
0.06640625,
0.09423828125,
0.025146484375,
0.0203857421875,
0.007293701171875,
-0.04443359375,
0.048828125,
-0.01513671875,... | 12,376 | 12376 | |
Robot Unlock - Walkthrough, Guide, Review - Jayisgames
Robot Unlock
By
Steve
| July 10, 2011
|
Add to Favorites
Rating:
4.4
/5 (
29
votes)
Robot Unlock is a puzzle game by Madflame Software in which you're challenged to program a robot to perform certain tasks. What sort of tasks, you ask? Is it vacuuming th... | 5 | [
-0.0703125,
-0.04541015625,
-0.06396484375,
-0.04541015625,
-0.039794921875,
-0.01116943359375,
0.041259765625,
0.002349853515625,
-0.050537109375,
0.0289306640625,
0.056640625,
0.03564453125,
0.0179443359375,
0.0179443359375,
0.030517578125,
0.025146484375,
0.0128173828125,
0.0003... | 12,377 | 12377 | |
Fuzzy approximate solutions of second-order fuzzy linear boundary value problems
Abstract
In this paper, approximate solutions of second-order linear differential equations with fuzzy boundary conditions, in which coefficient functions maintain the sign, are investigated. The fuzzy linear
boundary value problem is con... | 5 | [
0.00183868408203125,
0.044677734375,
0.091796875,
-0.076171875,
-0.0595703125,
0.020751953125,
-0.004364013671875,
0.020751953125,
0.00860595703125,
0.04248046875,
0.07763671875,
0.004974365234375,
0.0103759765625,
0.0238037109375,
-0.03369140625,
-0.01556396484375,
-0.0283203125,
... | 12,378 | 12378 | |
distributive lattice
nLab
distributive lattice
Context
$(0,1)$-Category theory
Contents
Definition
Definition
A distributive lattice is a lattice in which join $\vee$ and meet $\wedge$distribute over each other, in that for all $x,y,z$ in the latiice, the distributivity laws are satisfied:
• $x \vee (y \wedge ... | 4 | [
0.0169677734375,
-0.051513671875,
-0.000362396240234375,
-0.0238037109375,
-0.0380859375,
-0.02197265625,
0.035400390625,
-0.0277099609375,
-0.00897216796875,
0.01251220703125,
-0.04052734375,
-0.06787109375,
-0.032470703125,
0.07080078125,
0.08203125,
0.005340576171875,
0.0269775390... | 12,379 | 12379 | |
Regular polygon
Talk0
871pages on
this wiki
A regular polygon is a polygon which is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star(complex).
General properties
These properties apply to both convex and a star regular polygons.... | 4 | [
0.0159912109375,
0.0234375,
-0.0211181640625,
0.012939453125,
-0.052001953125,
-0.07470703125,
0.039306640625,
-0.004913330078125,
0.059814453125,
-0.00860595703125,
-0.09765625,
0.0260009765625,
-0.0269775390625,
0.00933837890625,
0.031005859375,
-0.09765625,
-0.06298828125,
-0.01... | 12,380 | 12380 | |
Finding Area Using a Determinant
Date: 05/25/2007 at 03:55:12
From: Richard
Subject: How does the determinant of a 2x2 matrix give the area?
I just can't see how this formula gives the area (determinant):
M = | 1 1|
|-1 1|
det M = 1(1) - 1(-1) = 1 + 1 = 2, which is indeed the area of the
parallelogram defined b... | 5 | [
0.0673828125,
-0.0458984375,
0.0032806396484375,
-0.068359375,
0.0703125,
-0.072265625,
-0.01141357421875,
0.0040283203125,
-0.08251953125,
-0.0284423828125,
0.07666015625,
0.0079345703125,
0.015869140625,
-0.006072998046875,
-0.05615234375,
0.059326171875,
-0.0201416015625,
-0.043... | 12,381 | 12381 | |
category of simple graphs
Contents
Introduction
Both category theory and graph theory study patterns based on diagrams consisting of nodes and edges. Despite this surface impression, there is in fact very little interaction between the scientific
communities of category theorists and of graph theorists.
This article... | 4 | [
-0.0021820068359375,
0.006011962890625,
0.01214599609375,
-0.0186767578125,
-0.04443359375,
-0.0361328125,
-0.05712890625,
0.024658203125,
0.0303955078125,
0.068359375,
0.0184326171875,
-0.049560546875,
-0.038818359375,
0.03955078125,
0.14453125,
0.02099609375,
0.034912109375,
0.01... | 12,382 | 12382 | |
olutions
—————————
In my September diary I posed the following brain-teaser.
Consider the powers of two: 2, 4, 8, 16, 32, 64, 128, … Their right-most digits follow a simple repetitive pattern: 2, 4, 8, 6, 2, 4, 8, 6, 2, 4, 8, 6, … What about their left-most digits,
though? Here are the first few dozen. (Read... | 5 | [
-0.061279296875,
-0.06591796875,
0.00885009765625,
-0.020751953125,
0.01025390625,
-0.0159912109375,
0.01708984375,
0.0179443359375,
-0.004913330078125,
0.03857421875,
-0.0159912109375,
0.07958984375,
-0.023193359375,
-0.0174560546875,
-0.019287109375,
0.005279541015625,
-0.10546875,... | 12,383 | 12383 | |
Teaching Mathematics - Graph Theory
Teaching Mathematics – Graph Theory
Note: this post is entirely about mathematics, but I plan to follow it up with posts on teaching and learning experiences in computer science, comparing them with mathematics in turn.
Community Service
Mathematics is supposed to be a process of ... | 4 | [
-0.050537109375,
-0.02099609375,
-0.0169677734375,
-0.01123046875,
-0.10595703125,
-0.0830078125,
-0.0546875,
0.053955078125,
-0.005279541015625,
0.09326171875,
-0.006561279296875,
0.055419921875,
0.07177734375,
0.1083984375,
0.076171875,
0.051513671875,
-0.004974365234375,
-0.0131... | 12,384 | 12384 | |
Ergodic
Appendix
The notion of an abstract dynamical system is both concise and effective. It focuses on certain structural and dynamical features that are deemed essential to understanding the nature of the
seemingly random behaviour of deterministically evolving physical systems. The selected features were careful... | 4 | [
-0.0062255859375,
0.01171875,
0.03466796875,
0.072265625,
0.019775390625,
-0.0211181640625,
0.0693359375,
0.035400390625,
0.058349609375,
-0.0108642578125,
0.0213623046875,
0.004852294921875,
0.05712890625,
-0.052978515625,
-0.059814453125,
-0.0380859375,
-0.0062255859375,
0.001861... | 12,385 | 12385 | |
how many keys?
September 9th 2007, 09:14 AM
Mr_Green
how many keys?
A certain key is cut for a lock with seven tumblers, each of which has 4 depths and no two consecutive tumblers can be the same depth. How many different keys can be made?
September 9th 2007, 09:40 AM
Soroban
Hello, Mr_Green!
You can... | 4 | [
-0.0869140625,
-0.033203125,
0.0284423828125,
-0.1044921875,
-0.05810546875,
0.02587890625,
0.00433349609375,
-0.0228271484375,
0.06787109375,
0.06005859375,
-0.0257568359375,
-0.0966796875,
0.041259765625,
-0.02685546875,
-0.01214599609375,
0.01531982421875,
-0.138671875,
-0.02709... | 12,386 | 12386 | |
Chern-Weil theory
Context
$\infty$-Chern-Weil theory
Ingredients
Connection
Curvature
Theorems
Differential cohomology
Ingredients
Connections on bundles
Higher abelian differential cohomology
Higher nonabelian differential cohomology
Fiber integration
Application to gauge theory
$\infty$-Lie theory
Backg... | 4 | [
-0.1337890625,
-0.00157928466796875,
-0.00811767578125,
0.05810546875,
0.004608154296875,
0.047119140625,
-0.00150299072265625,
-0.01409912109375,
0.03369140625,
-0.04248046875,
0.158203125,
-0.008056640625,
-0.09521484375,
-0.0301513671875,
0.07080078125,
0.024658203125,
-0.07421875... | 12,387 | 12387 | |
Homework Help
Posted by Sue Bonds on Saturday, August 6, 2011 at 9:12am.
1) Is the equation: 28 - 4√2 = 24√2 True? Explain why or why not?
2) Is this statement √a + √b = √(a +b) True? Explain why or why not?
3) What is the index of a radical? When working with radicals, can the radicand be negative when the index is... | 4 | [
-0.03515625,
-0.00274658203125,
0.01953125,
0.134765625,
-0.00775146484375,
0.0654296875,
0.02197265625,
0.039306640625,
0.025634765625,
0.004608154296875,
0.0162353515625,
0.040283203125,
0.0625,
0.0296630859375,
-0.013671875,
0.0537109375,
-0.078125,
-0.01141357421875,
-0.08789... | 12,388 | 12388 | |
Box method of factoring quadratics
There are many methods of solving a
quadratic equation
. The box method is especially useful in solving a quadratic equation because it helps you to factor the quadratic and thus solve it with little calculations.
In the box method, we convert a quadratic equation from a three term... | 4 | [
0.03564453125,
0.01177978515625,
0.0145263671875,
-0.00762939453125,
-0.022216796875,
0.052490234375,
-0.091796875,
-0.01214599609375,
-0.0135498046875,
0.00616455078125,
0.02880859375,
0.01226806640625,
0.03955078125,
0.01953125,
-0.059326171875,
0.0179443359375,
-0.078125,
0.0854... | 12,389 | 12389 | |
`4x^3+8x^2-9x-18=0`
- Homework Help - eNotes.com
`4x^3+8x^2-9x-18=0`
`(x+2)(4x^2 - 9) = 0`
`(x+2)(2x + 3)(2x - 3) = 0`
`x+2 = 0 and 2x + 3 = 0 and 2x - 3 = 0`
`x = -2 and x = -3/2 and x = 3/2`
x = -2, -3/2, and 3/2
` `
` `
` `
` `
`4x^3+8x^2-9x-18=0`
Factor the greatest common factor from each ... | 4 | [
0.056884765625,
0.00732421875,
0.000652313232421875,
0.048828125,
0.0595703125,
0.07568359375,
-0.01806640625,
0.02099609375,
-0.003753662109375,
-0.05517578125,
0.1103515625,
-0.06640625,
0.0301513671875,
0.0023040771484375,
0.0361328125,
0.0306396484375,
-0.037109375,
-0.00231933... | 12,390 | 12390 | |
isomorphic spectral sequences => quasi-isomorphic filtered chain complexes?
up vote 4 down vote favorite
2
Let $(C,\partial)$ and $(C',\partial')$ be chain complexes of $R$-modules where $R$ is a (commutative) ring. Let $F$ and $F'$ be finite filtrations of $C$ and $C'$ respectively, i.e., $$\varnothing =
F_0C \subset... | 4 | [
-0.0693359375,
0.04052734375,
-0.0126953125,
0.036376953125,
0.01385498046875,
0.06298828125,
0.0159912109375,
0.049072265625,
-0.049072265625,
-0.103515625,
0.0439453125,
-0.09912109375,
-0.0458984375,
0.00101470947265625,
0.058837890625,
-0.0115966796875,
-0.01177978515625,
0.046... | 12,391 | 12391 | |
Network Theory (Part 13)
Unlike some recent posts, this will be very short. I merely want to show you the quantum and stochastic versions of Noether’s theorem, side by side.
Having made my sacrificial offering to the math gods last time by explaining how everything generalizes when we replace our finite set $X$ of st... | 5 | [
-0.032958984375,
0.0220947265625,
0.0849609375,
0.04052734375,
0.0169677734375,
0.05419921875,
0.0234375,
-0.05419921875,
0.07177734375,
-0.05322265625,
0.0419921875,
0.0264892578125,
0.0245361328125,
-0.033935546875,
0.02587890625,
0.046875,
0.012451171875,
-0.07861328125,
-0.03... | 12,392 | 12392 | |
Finding maximum volume of a rectangle
November 18th 2009, 05:27 AM #1
Member
Joined
Oct 2008
Posts
206
Finding maximum volume of a rectangle
Find the maximum volume of a rectangular box that is inscribed in a sphere of radius r.
I can't seem to generate the equation for me to maximise. Hope someone ... | 5 | [
0.0830078125,
0.0189208984375,
-0.06689453125,
-0.02001953125,
0.0081787109375,
0.0101318359375,
-0.061767578125,
0.0869140625,
0.032470703125,
-0.033203125,
-0.09228515625,
0.04541015625,
0.0286865234375,
0.076171875,
-0.0311279296875,
0.017822265625,
0.061279296875,
0.02404785156... | 12,393 | 12393 | |
homology of $B S^{-1} S$ computation in the proof that $+ = Q$
up vote 1 down vote favorite
1
Let $S$ denote the category of projective (left) $R$-modules with isomorphisms for arrows. We have that
$BS^{-1}S \sim B \text{GL}(R)^+ \times K_0(R)$
In proving this, in Srinivas' algebraic K-theory text, the following... | 4 | [
-0.05078125,
0.03271484375,
-0.0615234375,
0.018310546875,
0.031982421875,
0.10888671875,
0.045654296875,
0.0028533935546875,
-0.000789642333984375,
-0.00927734375,
0.01348876953125,
0.033447265625,
0.0091552734375,
-0.0042724609375,
-0.00079345703125,
0.072265625,
0.00299072265625,
... | 12,394 | 12394 | |
Math Forum Discussions - Sidak correction
Date: Jan 3, 2013 1:38 PM
Author: Luis A. Afonso
Subject: Sidak correction
Sidak correction
When a set of k independent statistical tests is performed we must adapt the significance level in order to obtain a global desired level, alpha= 0.05 or 0.01.
One must set, with alph... | 4 | [
0.049560546875,
0.035400390625,
-0.000457763671875,
-0.01458740234375,
-0.034423828125,
-0.05078125,
0.0341796875,
0.068359375,
0.03173828125,
0.08984375,
-0.0673828125,
-0.07763671875,
0.02783203125,
-0.05810546875,
-0.05322265625,
0.01434326171875,
-0.11767578125,
0.03173828125,
... | 12,395 | 12395 | |
Finding the minimum cost for a semi-circular cover
December 2nd 2010, 10:52 PM #1
Finding the minimum cost for a semi-circular cover
Not sure how to do the last bit, help please.
Note: The cover is sometimes referred as a lid for some reason.
You didn't show the right equation for part (c)... =/
... | 5 | [
0.0478515625,
0.13671875,
-0.01068115234375,
0.0213623046875,
0.031494140625,
0.000865936279296875,
-0.03466796875,
0.1142578125,
-0.04833984375,
0.01904296875,
-0.07080078125,
-0.0693359375,
0.04296875,
0.05126953125,
-0.01165771484375,
-0.037353515625,
-0.001251220703125,
-0.0488... | 12,396 | 12396 | |
What's new
You are currently browsing the tag archive for the ‘Ramsey theory’ tag.
In this lecture, we use topological dynamics methods to prove some other Ramsey-type theorems, and more specifically the polynomial van der Waerden theorem, the hypergraph Ramsey theorem, Hindman’s
theorem, and the Hales-Jewett theorem.... | 4 | [
-0.1201171875,
0.035888671875,
0.00799560546875,
0.05859375,
0.11669921875,
0.07666015625,
0.07763671875,
-0.0027923583984375,
0.00009250640869140625,
0.011962890625,
-0.0869140625,
0.00592041015625,
0.01953125,
-0.01165771484375,
-0.005615234375,
0.017578125,
-0.01263427734375,
-0... | 12,397 | 12397 | |
DATETIME Calculations, Part 5
Calculate working days, age, and next birthday date
For the past four months, I've discussed various calculations involving datetime data. This month, I conclude the series by introducing techniques to calculate working days, age, and next birthday
date. Later in the article, I also poin... | 4 | [
-0.03076171875,
0.059814453125,
0.008056640625,
0.018798828125,
-0.03759765625,
0.00011348724365234375,
-0.044677734375,
-0.00897216796875,
-0.14453125,
0.00592041015625,
0.02197265625,
-0.060791015625,
-0.025146484375,
0.0179443359375,
0.02001953125,
-0.0654296875,
-0.130859375,
-... | 12,398 | 12398 | |
Google Treasure Hunt, Question #4
A friend of mine asked me how I solved the fourth question of Google Treasure Hunt 2008 using Clojure. I didn’t keep the original code around, so below is how I could have done it.
First, define a primes seq.
Second, define a function which returns the sequence of sums of N consecuti... | 4 | [
-0.083984375,
0.0184326171875,
0.02783203125,
-0.0927734375,
0.0269775390625,
-0.0025787353515625,
0.0380859375,
0.032470703125,
-0.043701171875,
-0.032958984375,
-0.06640625,
0.0206298828125,
0.00909423828125,
-0.0185546875,
0.0272216796875,
-0.0206298828125,
0.0142822265625,
0.00... | 12,399 | 12399 |