content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Proof That 0/0 = 1 Based on x^0 Equaling 1?
Date: 02/02/2006 at 04:12:53
From: Joseph
Subject: x^0 vs. 0/0
You wrote that the reason x^0 = 1 is because of the laws of exponents:
(3^4)/(3^4) = 3^(4-4) = 3^0.
You also wrote that 0^0 = 1 while maintaining that 0/0 doesn't make
sense. If the proof for any x^0 is 1 is ... | 4 | [
-0.002716064453125,
0.0291748046875,
-0.0908203125,
0.099609375,
0.00921630859375,
-0.083984375,
0.019775390625,
-0.037109375,
0.09228515625,
-0.01806640625,
-0.016845703125,
-0.042236328125,
0.0242919921875,
0.115234375,
-0.004058837890625,
0.027587890625,
-0.1171875,
0.0089721679... | 13,900 | 13900 | |
How to find the closest value of 2^N to a given input?
up vote 0 down vote favorite
I somehow have to keep my program running until the output of the exponent function exceeds the input value, and then compare that to the previous output of the exponent function. How would I do
something like that, even if in just pse... | 4 | [
0.00970458984375,
0.02978515625,
-0.083984375,
-0.041015625,
0.039306640625,
-0.109375,
-0.0252685546875,
0.034423828125,
-0.050537109375,
0.038818359375,
-0.091796875,
-0.000904083251953125,
0.048583984375,
0.0054931640625,
0.0302734375,
-0.00153350830078125,
-0.049560546875,
0.03... | 13,901 | 13901 | |
Work on an Einstein-Hilbert type action but with the *absolute value* of scalar curvature?
up vote 4 down vote favorite
1
This is only my second question on mathoverflow, so my apologies if this would be more appropriate at a physics site. My question concerns a modification to the Einstein-Hilbert action. The standar... | 4 | [
-0.0108642578125,
-0.07568359375,
0.059326171875,
-0.0615234375,
-0.06689453125,
0.052734375,
0.01904296875,
0.040771484375,
-0.029296875,
-0.033203125,
0.023681640625,
-0.0179443359375,
-0.0419921875,
0.07177734375,
0.00185394287109375,
0.021240234375,
0.0732421875,
0.0224609375,
... | 13,902 | 13902 | |
Chezy, Chezy formula, history of the Chezy formula, Fadi Khoury, hydraulics, hydrology, Victor Miguel Ponce
┏━━━━┯━━━━━━━━━━━━━━━━━━━━┓
┃ │ ┃
┃ │ History of the ┃
┃ │ Chézy Formula ┃
┃ │ ┃
┃ ├────────────────────┨
┗━━━━┷━━━━━━━━━━━━━━━━━━━━┛
A ntoine Chézy ... | 4 | [
-0.01031494140625,
-0.00494384765625,
-0.01446533203125,
0.00001633167266845703,
-0.02197265625,
-0.01434326171875,
-0.0439453125,
0.166015625,
-0.021728515625,
-0.0308837890625,
0.00677490234375,
0.06005859375,
-0.0203857421875,
-0.01373291015625,
-0.0308837890625,
0.0120849609375,
... | 13,903 | 13903 | |
Linear Transformations and Bases
April 28th 2012, 02:19 AM #1
Linear Transformations and Bases
I need some help or at least some assurance that my thinking on linear transformations and their matrix representations is correct.
I assume when we specify a linear transformation eg F(x,y, z) = (3x +y, y+z, 2x-3z... | 5 | [
-0.07080078125,
-0.040283203125,
-0.1123046875,
0.0002040863037109375,
0.042236328125,
0.010986328125,
0.00113677978515625,
-0.040283203125,
0.00958251953125,
0.0096435546875,
-0.0018463134765625,
0.007598876953125,
0.012939453125,
0.048828125,
-0.00286865234375,
-0.04638671875,
-0.0... | 13,904 | 13904 | |
Linear subspaces in cones over orthogonal groups
up vote 4 down vote favorite
3
Consider the orthogonal group $G=O(n)$ as a subset of the vector space of $n\times n$ real matrices. Let $C=C(G)$ denote the Euclidean cone over $G$, i.e., the space of matrices of the form $tA, A\in
G, t\in {\mathbb R}$.
Question. What a... | 4 | [
-0.08447265625,
-0.0830078125,
-0.0281982421875,
0.06201171875,
-0.04541015625,
0.025146484375,
0.0301513671875,
-0.059326171875,
0.051025390625,
-0.01123046875,
0.068359375,
-0.0169677734375,
-0.0947265625,
0.006195068359375,
-0.05224609375,
-0.0517578125,
-0.0291748046875,
0.0229... | 13,905 | 13905 | |
String Theory in a Nutshell
More About This Textbook
Overview
"An excellent reference for any graduate student interested in string theory. Kiritsis succinctly describes many of the recent developments that are necessary background to current research. Topics
covered include black holes in string theory, holography, ... | 4 | [
-0.0235595703125,
0.000873565673828125,
0.040771484375,
0.0223388671875,
-0.0888671875,
0.025146484375,
-0.00811767578125,
0.01409912109375,
-0.029541015625,
-0.0216064453125,
-0.03369140625,
0.0255126953125,
-0.060546875,
-0.0036468505859375,
-0.07080078125,
-0.000782012939453125,
-... | 13,906 | 13906 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
moneybird Group Title
Denote by pk the kth... | 5 | [
-0.022216796875,
0.017578125,
0.018310546875,
0.0252685546875,
-0.0205078125,
0.045166015625,
0.0712890625,
0.01470947265625,
-0.0279541015625,
-0.0458984375,
-0.0498046875,
0.0849609375,
-0.00537109375,
-0.054443359375,
-0.0712890625,
-0.046630859375,
-0.043212890625,
-0.007019042... | 13,907 | 13907 | |
bind2nd problems
02-06-2009
cunnus88
bind2nd problems
I'm trying to implement a standard deviation routine using templates but I hit a snag with the bind2nd operator and I just don't get it:
Code:
template<typename T> struct minus_squared
: public std::binary_function<T, T, T> {
T operator()(c... | 4 | [
0.011962890625,
0.000652313232421875,
0.047607421875,
-0.0162353515625,
-0.0849609375,
0.001983642578125,
-0.0751953125,
0.08984375,
-0.01611328125,
0.005126953125,
0.0201416015625,
-0.0198974609375,
0.0017547607421875,
-0.059326171875,
-0.04541015625,
0.02099609375,
0.0162353515625,... | 13,908 | 13908 | |
Matrices whose entries are essentially traces of products of unitary matrices.
up vote 4 down vote favorite
4
A $n\times n$ matrix $A=[a_{ij}]$ is called "good", if there exists some $k$ and a set of $k\times k$ complex unitaries $U_i$, $1\leq i\leq n$ , such that $tr(U_i^{+}U_j)=ka_{ij}$, where $U^{+}$
denotes the co... | 4 | [
-0.0081787109375,
-0.055908203125,
-0.1455078125,
-0.0400390625,
-0.06494140625,
0.01446533203125,
0.06005859375,
-0.11083984375,
-0.0537109375,
0.017578125,
-0.06396484375,
0.08935546875,
0.05615234375,
0.052734375,
-0.07861328125,
0.004913330078125,
0.1533203125,
0.034912109375,
... | 13,909 | 13909 | |
quantum Gauss decomposition
Generators of the quantized function algebra $G$ of FRT-type, for example the quantum linear groups $GL_q(n,k)$, $SL_q(n,k)$ are forming a matrix $T$ of generators with entries in $G$ and satisfying
the matrix identity for the coproduct $\Delta T = T\otimes T$; in fact, $G$ is a matrix Hopf ... | 4 | [
-0.1669921875,
0.0247802734375,
-0.0184326171875,
0.0224609375,
-0.037841796875,
0.00927734375,
-0.030029296875,
-0.05078125,
0.044921875,
0.002716064453125,
0.05029296875,
-0.006683349609375,
-0.07373046875,
0.01092529296875,
-0.039306640625,
0.0247802734375,
-0.01287841796875,
0.... | 13,910 | 13910 | |
58. linearalgebra
Return a list of the form [LU, perm, fld], or [LU, perm, fld, lower-cnd upper-cnd], where
(1) The matrix LU contains the factorization of M in a packed form. Packed form means three things: First, the rows of LU are permuted according to the list perm. If, for example, perm is the
list [... | 5 | [
-0.06396484375,
-0.040771484375,
-0.032470703125,
-0.010986328125,
0.007568359375,
0.01141357421875,
-0.01141357421875,
0.048583984375,
-0.0289306640625,
-0.0311279296875,
0.03857421875,
0.035888671875,
0.0242919921875,
-0.05908203125,
-0.0625,
0.052001953125,
0.01153564453125,
-0.... | 13,911 | 13911 | |
Compound Interest (Finite Number of Calculations) - Concept
Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it out
Compound Interest (Finite Number of Calculations) - Concept 16,975 views
One real world application of exponential equations is in compound interest. ... | 4 | [
0.034423828125,
0.0198974609375,
-0.056884765625,
0.033935546875,
-0.029052734375,
-0.103515625,
0.00787353515625,
0.02490234375,
0.048583984375,
0.08642578125,
0.0361328125,
-0.01446533203125,
0.0007171630859375,
0.05322265625,
0.078125,
0.03369140625,
-0.134765625,
-0.00421142578... | 13,912 | 13912 | |
Reynolds number
Reynolds number
From CFD-Wiki
(Difference between revisions)
← Older edit Newer edit →
Line 54: ... | 4 | [
-0.09912109375,
0.010498046875,
0.0322265625,
0.040283203125,
0.00958251953125,
0.07666015625,
-0.0279541015625,
0.02392578125,
0.048095703125,
-0.087890625,
0.0244140625,
0.0201416015625,
-0.058349609375,
-0.037353515625,
-0.10546875,
0.01806640625,
-0.111328125,
-0.05029296875,
... | 13,913 | 13913 | |
Strength vs mastery (or self healing vs mitigation)
Moderators: Fridmarr, Worldie, Aergis, theckhd
Strength is a good threat stat (after expertise and hit) and a poor avoidance stat (parry).
BUT: strength improves paladin self healing abilities (via AP and SP).
Let's assume you're tanking with seal of insight, spamm... | 4 | [
-0.0299072265625,
0.052978515625,
0.003173828125,
0.0306396484375,
-0.0615234375,
-0.053955078125,
0.01953125,
0.0927734375,
-0.0135498046875,
0.0029449462890625,
0.03662109375,
0.017822265625,
0.04931640625,
0.02587890625,
-0.0155029296875,
0.06005859375,
0.10986328125,
0.04907226... | 13,914 | 13914 | |
A problem on graph theory and complex numbers!
up vote 3 down vote favorite
Let ${\mathcal G} = ({\mathcal V},{\mathcal E})$ be a simple connected undirected graph with $n$ vertices. Also let $z_1, \ldots, z_n \in {\mathbb C}$ be complex numbers such that $$ ||z_1||=\ldots =
||z_n||=1. $$ If we know that there exist $... | 4 | [
-0.146484375,
0.0218505859375,
0.0087890625,
0.035400390625,
0.01483154296875,
-0.00946044921875,
0.04345703125,
-0.01611328125,
-0.06396484375,
-0.0228271484375,
0.007476806640625,
-0.0068359375,
0.0301513671875,
0.046142578125,
-0.0517578125,
-0.05517578125,
0.072265625,
0.008911... | 13,915 | 13915 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
whadduptori Group Title
Can somebody just ... | 4 | [
0.003814697265625,
0.0201416015625,
0.004638671875,
-0.0228271484375,
-0.04736328125,
-0.0157470703125,
0.01495361328125,
0.02294921875,
0.00188446044921875,
0.02587890625,
0.03759765625,
-0.046142578125,
0.0260009765625,
0.013916015625,
-0.042236328125,
0.0224609375,
-0.0498046875,
... | 13,916 | 13916 | |
Factoring Algebraic Expressions
An algebraic expression is a statement containing all possible combinations of variables, constants and operators. Factoring is a technique in driving the factors of a algebraic expression. An
algebraic expression may be subjected into different operations and can be simplified, translat... | 4 | [
0.00640869140625,
0.04345703125,
-0.0201416015625,
0.07421875,
-0.002288818359375,
-0.00640869140625,
-0.0269775390625,
-0.0015869140625,
-0.0133056640625,
-0.000518798828125,
0.006378173828125,
-0.0242919921875,
0.027099609375,
0.058837890625,
0.0419921875,
0.0751953125,
-0.09033203... | 13,917 | 13917 | |
9x less than or equal to 12x squared
1 answer
Solution for 12x^2 -9x less than or equal to 0:
Less than or equal to 0 will be written <=
12x^2 -9x <= 0 can be also written as follows:
x (12x - 9) <= 0. In order for that expression to be equal to 0 either x has to be <= 0 or 12x - 9 has to be <= 0, so the solution is x... | 4 | [
0.05517578125,
0.1162109375,
0.0096435546875,
0.0032501220703125,
-0.0537109375,
0.05517578125,
-0.06689453125,
0.0341796875,
0.04443359375,
-0.033447265625,
0.0439453125,
0.038330078125,
0.048095703125,
0.060302734375,
-0.0260009765625,
0.013916015625,
-0.016357421875,
0.006958007... | 13,918 | 13918 | |
Surface plasmon dispersion relation for thin metal films
A thin metal film in dielectric (also known as dielectric-metal-dielectric configuration) can support surface plasmons that are different in nature to the ones observed in thick metal-dielectric
interfaces. Unlike, a single mode that is observed in thick metal f... | 4 | [
-0.06298828125,
0.00274658203125,
0.078125,
0.046142578125,
0.080078125,
-0.04833984375,
0.07666015625,
0.0712890625,
-0.0537109375,
-0.059814453125,
-0.0157470703125,
-0.060791015625,
0.02685546875,
-0.0064697265625,
0.11865234375,
-0.020751953125,
-0.0341796875,
-0.047607421875,
... | 13,919 | 13919 | |
Tridiagonal Matrix Algorithm
11-02-2009 #1
Registered User
Join Date
Nov 2009
Posts
8
Tridiagonal Matrix Algorithm
I'm taking a Linear Algebra and Matrices class and we have a big programming assignment.... Problem is that I've never taking a programming class....
Here is the Question
Solve usi... | 5 | [
-0.055419921875,
0.055908203125,
-0.0240478515625,
-0.1015625,
0.031494140625,
-0.08642578125,
-0.0308837890625,
0.044189453125,
-0.10791015625,
0.0361328125,
0.031005859375,
-0.02099609375,
0.036865234375,
-0.0712890625,
-0.041015625,
0.01544189453125,
-0.0234375,
0.0081787109375,... | 13,920 | 13920 | |
Trying to Trisect a Triangle
By: Tim Lehman
Exporation 1: Dividing a triangle into 3 triangles of equal areaMethod I: After trisecting one sid... | 4 | [
-0.064453125,
0.09228515625,
-0.027587890625,
-0.0400390625,
-0.0849609375,
-0.047607421875,
0.004486083984375,
0.01495361328125,
-0.06787109375,
0.0267333984375,
0.034912109375,
-0.1337890625,
0.0189208984375,
0.0255126953125,
0.0869140625,
-0.036865234375,
-0.042236328125,
0.0008... | 13,921 | 13921 | |
binomial distribution
binomial distribution, in statistics, a common distribution function for discrete processes in which a fixed probability prevails for each independently generated value.
First studied in connection with games of pure chance, the binomial distribution is now widely used to analyze data in virtuall... | 4 | [
-0.0224609375,
-0.00823974609375,
-0.0247802734375,
-0.0169677734375,
-0.041259765625,
0.0137939453125,
0.09423828125,
0.0286865234375,
0.10546875,
0.07666015625,
0.0255126953125,
0.056884765625,
0.056884765625,
-0.01446533203125,
-0.0068359375,
0.00775146484375,
-0.099609375,
0.02... | 13,922 | 13922 | |
multiplicative group scheme
nLab
multiplicative group scheme
Reminder
Let $G$ be a commutative $k$-group functor (in cases of interest this is a finite flat commutative group scheme). Then the Cartier dual $D(G)$ of $G$ is defined by
$D(G)(R):=Gr_R(G\otimes_k R,\mu_R)$
where $\mu_k$ denotes the group scheme assigni... | 4 | [
-0.05029296875,
-0.00335693359375,
-0.044189453125,
-0.072265625,
0.004150390625,
-0.0286865234375,
0.02880859375,
0.039794921875,
-0.033447265625,
-0.03515625,
-0.03271484375,
0.0302734375,
-0.055908203125,
-0.00186920166015625,
0.09521484375,
0.035400390625,
0.021484375,
0.091796... | 13,923 | 13923 | |
Template page
This page is meant to provide a general example and template for new nLab-pages. You can look at its source code to see how the various parts are done. A minimal template is given first which can be
copy-and-pasted into newly created pages. See HowTo for more details.
Minimal Template Code
Remove any se... | 4 | [
-0.07177734375,
0.02490234375,
-0.00020503997802734375,
0.0198974609375,
0.0478515625,
0.061279296875,
0.03564453125,
-0.00360107421875,
0.01397705078125,
0.0673828125,
-0.01171875,
0.01531982421875,
0.0211181640625,
-0.001434326171875,
-0.0291748046875,
0.035400390625,
-0.0001497268... | 13,924 | 13924 | |
bra
Narrow Search
Earth and space science
Mathematics
Sort by:
Per page:
Now showing results 41-50 of 75
This is a detailed historical lesson about comets, distant icy worlds often visible to observers on Earth. Learners will consider the essential question, "What are comets?" They will practice
observation and "... | 4 | [
-0.0267333984375,
0.0286865234375,
-0.000789642333984375,
0.0203857421875,
0.01080322265625,
-0.060302734375,
0.00592041015625,
0.09814453125,
0.0033416748046875,
0.10498046875,
0.0213623046875,
-0.0302734375,
0.0274658203125,
0.020751953125,
0.00063323974609375,
-0.04345703125,
-0.0... | 13,925 | 13925 | |
d/dx e^x
This is a discussion on d/dx e^x within the A Brief History of Cprogramming.com forums, part of the Community Boards category; Why does d/dx e^x = e^x instead of xe^(x-1)...
Because you can't use the power rule with functions raised to a variable. d/dx k^x = k^(bx)*ln k*b
Originally posted by DavidP you mean... | 5 | [
-0.038818359375,
-0.002471923828125,
0.08984375,
0.044677734375,
-0.0703125,
-0.03662109375,
0.05419921875,
0.002532958984375,
0.034423828125,
0.10205078125,
0.06982421875,
-0.017333984375,
-0.0037078857421875,
0.030029296875,
0.00555419921875,
-0.0238037109375,
-0.0859375,
0.08154... | 13,926 | 13926 | |
Lecture 6: Complex Numbers and Complex Exponentials
I assume from high school you know how to add and multiply complex numbers using the relation i^2 = -1. I'm a little less certain that you remember how to divide them. I hope you read last night by
way of preparation for that, but since that's something we're going to... | 5 | [
-0.09765625,
0.03173828125,
-0.00714111328125,
0.12060546875,
-0.078125,
-0.07958984375,
0.05810546875,
-0.0108642578125,
0.0927734375,
-0.0028533935546875,
0.08544921875,
-0.0341796875,
0.06591796875,
0.1005859375,
-0.0181884765625,
-0.0299072265625,
-0.0390625,
0.0654296875,
-0... | 13,927 | 13927 | |
ultrafilter
Ultrafilters
Definitions
An ultrafilter on a set $S$ is a collection $F$ of subsets of $S$ satisfying the axiom
$A \in F \;\Leftrightarrow\; \forall (B_1, \ldots, B_n \in F),\; \exists (x \in A \cap B_1 \cap \cdots \cap B_n) .$
This is the only axiom necessary; from this, you can prove that $F$ is a fil... | 4 | [
0.000652313232421875,
-0.0228271484375,
-0.006256103515625,
-0.0546875,
0.099609375,
0.031494140625,
0.0135498046875,
0.0098876953125,
-0.030517578125,
-0.0028076171875,
-0.0947265625,
-0.050048828125,
0.005462646484375,
-0.030029296875,
0.01025390625,
0.045166015625,
0.05517578125,
... | 13,928 | 13928 | |
Comparison and Critique of Anomaly Combination Methods
Recent Comments
omanuel on In the Real World, Accuracy…
dental plan on Another IT Theory on Clim…
Jeff Id on In the Real World, Accuracy…
Chuck L on In the Real World, Accuracy…
Chuck L on In the Real World, Accuracy…
Jeff Id on In the Real World, Accu... | 4 | [
-0.12255859375,
-0.00994873046875,
0.0238037109375,
0.0284423828125,
-0.0189208984375,
-0.099609375,
0.00055694580078125,
0.03564453125,
-0.0250244140625,
-0.0115966796875,
0.0277099609375,
0.0201416015625,
0.08642578125,
-0.0301513671875,
-0.033935546875,
-0.07568359375,
0.026489257... | 13,929 | 13929 | |
Math for Movies
Working on films today requires a surprising amount of number crunching. We have become adept at a wide range of conversions -- but only with the use of the right software or calculator.
Unfortunately, there are going to be times when the computer is unavailable or the special timecode calculator is on ... | 4 | [
-0.01385498046875,
0.01470947265625,
-0.037841796875,
-0.052001953125,
0.0157470703125,
0.05615234375,
-0.0830078125,
0.041748046875,
0.06884765625,
-0.0498046875,
-0.0162353515625,
-0.04638671875,
-0.00531005859375,
0.0693359375,
-0.055419921875,
0.034423828125,
-0.039306640625,
0... | 13,930 | 13930 | |
Neutrinos as Dark Matter
Neutrinos are very weakly interacting, electrically neutral particles that are involved in nuclear interactions where protons and changed into neutrons or vice versa, and in other reactions as well.
An example of a weak nuclear interaction involving a neutrino is the free neutron decay
Because... | 4 | [
-0.0130615234375,
-0.07666015625,
-0.0017852783203125,
0.1044921875,
-0.0206298828125,
-0.009765625,
-0.031005859375,
0.1279296875,
0.00115203857421875,
-0.01177978515625,
-0.0166015625,
-0.076171875,
-0.02734375,
-0.0146484375,
0.07177734375,
0.006866455078125,
0.1494140625,
-0.08... | 13,931 | 13931 | |
A Couple Nuances
Started reading through Peter Smith’s “Gödel Without (Too Many) Tears” lecture notes yesterday, and I realized I hadn’t been as clear as I should have been in my treatment of Peano arithmetic. So I
started typing some errata, and I ended up typing a super-long exposition about All the Logic I Know. ... | 4 | [
-0.00616455078125,
-0.06298828125,
0.060791015625,
-0.028076171875,
0.0032501220703125,
-0.005218505859375,
0.0025634765625,
0.064453125,
0.029296875,
0.05126953125,
-0.0166015625,
0.0208740234375,
-0.0079345703125,
0.0079345703125,
0.01483154296875,
0.03662109375,
-0.052734375,
0.... | 13,932 | 13932 | |
Witt cohomology
nLab
Witt cohomology
Contents
Idea
Serre decided to try taking coefficients in the Witt vectors as an early attempt at a Weil cohomology theory. Ultimately, it wasn’t successful for this purpose, but has been generalized in several
ways for other purposes with great success.
Sheaf of Witt vectors
L... | 4 | [
-0.040771484375,
0.013916015625,
0.05712890625,
0.01104736328125,
0.1005859375,
-0.0208740234375,
0.054931640625,
0.04541015625,
0.02490234375,
-0.039794921875,
0.07666015625,
0.022705078125,
-0.0556640625,
-0.03955078125,
0.010986328125,
0.035400390625,
-0.0322265625,
0.0059204101... | 13,933 | 13933 | |
Likelihood function
Talk0
34,135pages on
this wiki
Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |
Statistics: Scientifi... | 4 | [
0.01239013671875,
-0.04833984375,
0.020751953125,
-0.037353515625,
0.0234375,
-0.014404296875,
0.039794921875,
0.05126953125,
0.056640625,
0.08642578125,
0.07763671875,
-0.04248046875,
0.04150390625,
0.01123046875,
0.06298828125,
0.06103515625,
0.0299072265625,
-0.01025390625,
-0... | 13,934 | 13934 | |
Problem:Gromov-Witten;Moduli space
up vote 2 down vote favorite
1
Let us consider a map from a $\Sigma_g \longrightarrow N$, where $N$ is a symplectic manifold.
Then we define the moduli space as
$M= \{ f | f \mbox{ is a pseudoholomorphic map } \Sigma_g \to N, f_* ([\Sigma]) = [A]\}$, where $A \in N$.
We assume the... | 4 | [
0.0128173828125,
-0.053466796875,
0.045166015625,
-0.009765625,
0.0211181640625,
0.0303955078125,
0.013671875,
0.07958984375,
-0.035888671875,
-0.04541015625,
0.109375,
-0.08837890625,
-0.06201171875,
-0.0908203125,
0.01300048828125,
-0.01226806640625,
-0.060302734375,
-0.008483886... | 13,935 | 13935 | |
#include <boost/math/special_functions/gamma.hpp>
namespace boost{ namespace math{
template <class T1, class T2, class T3>
calculated-result-type ibeta(T1 a, T2 b, T3 x);
template <class T1, class T2, class T3, class Policy>
calculated-result-type ibeta(T1 a, T2 b, T3 x, const Policy&);
template <class T1, class ... | 4 | [
-0.1494140625,
0.052734375,
0.00897216796875,
-0.01239013671875,
-0.0400390625,
0.064453125,
0.01123046875,
0.047607421875,
-0.038330078125,
-0.0107421875,
0.033935546875,
-0.0272216796875,
0.0089111328125,
-0.01177978515625,
0.037109375,
0.0361328125,
-0.054931640625,
0.0033111572... | 13,936 | 13936 | |
Calling all actuaries
I have to confess that I've never firmly understood life expectancy statistics. Razib has been putting up graphs on GNXP of
life expectancy
by county, such as this one of
white male life expectancy
(highest in southern Minnesota, lowest in the South, Oklahoma, and the Coal Belt). The maps are ... | 4 | [
0.0537109375,
-0.036376953125,
0.01025390625,
0.0419921875,
0.0018768310546875,
0.033447265625,
-0.039306640625,
-0.0027618408203125,
-0.02587890625,
0.036376953125,
0.0859375,
-0.0257568359375,
0.06884765625,
-0.0247802734375,
-0.0625,
0.032470703125,
-0.059814453125,
-0.075195312... | 13,937 | 13937 | |
Milne, Etale Cohomology, mistake in proposition 2.5?
up vote 2 down vote favorite
1
In Milne, Etale Cohomology, Proposition 2.5 (§2) is stated as follows:
(All rings noetherian.)
Let $B$ be a flat $A$--algebra, and consider $b \in B$. If the image of $b$ in $B/\mathfrak{m} B$ is not a zero-divisor for any maximal id... | 4 | [
-0.0439453125,
0.0233154296875,
0.01214599609375,
-0.07958984375,
0.068359375,
-0.0498046875,
0.080078125,
0.009765625,
-0.00872802734375,
-0.0986328125,
0.0439453125,
-0.06591796875,
0.013671875,
-0.053955078125,
0.060302734375,
0.16015625,
-0.0546875,
-0.01708984375,
-0.0092163... | 13,938 | 13938 | |
measurable subset
Measurable subsets
Idea
The measurable subsets of a measure space $(X,\mu)$ are those subsets $A$ of the underlying set $X$ for which the measure $\mu(A)$ is defined (at all, even possibly as infinite). Intuitively, one
might expect every subset of $X$ to be measurable, and this is the case in some ... | 4 | [
-0.0230712890625,
-0.032470703125,
0.087890625,
-0.0093994140625,
0.0361328125,
-0.035400390625,
0.08056640625,
0.044921875,
0.0869140625,
0.04248046875,
-0.052001953125,
-0.09228515625,
0.0673828125,
-0.003143310546875,
0.01953125,
-0.040771484375,
0.03662109375,
0.0152587890625,
... | 13,939 | 13939 | |
Math Forum Discussions - Re: Archimedes square root of 3
Date: Feb 4, 2013 6:29 PM
Author: Milo Gardner
Subject: Re: Archimedes square root of 3
corrected by:
E.J. Dijkerhuis "Archimedes" (1987) page 435 discussed
(27^1/2)/3 in terms of a continuing fraction series
cited 3^1/2, 26/15, 265/153, 1351/780
followed by... | 5 | [
-0.0625,
0.0235595703125,
0.041015625,
0.0299072265625,
-0.0712890625,
-0.125,
-0.0654296875,
-0.001220703125,
0.052734375,
0.045166015625,
-0.083984375,
-0.03955078125,
0.014404296875,
0.004974365234375,
-0.048828125,
-0.020751953125,
-0.08935546875,
0.0771484375,
0.06787109375,... | 13,940 | 13940 | |
[SciPy-User] beginner's question regarding optimize.fmin_l_bfgs_b
[SciPy-User] beginner's question regarding optimize.fmin_l_bfgs_b
Sebastian Haase seb.haase@gmail....
Fri Oct 15 03:31:22 CDT 2010
On Thu, Oct 14, 2010 at 11:58 PM, Skipper Seabold <jsseabold@gmail.com> wrote:
> On Thu, Oct 14, 2010 at 5:32 PM, Skipper... | 5 | [
-0.02734375,
0.035400390625,
0.057373046875,
0.07470703125,
0.02294921875,
-0.06298828125,
0.0208740234375,
0.0074462890625,
-0.08251953125,
0.037109375,
0.043212890625,
0.0194091796875,
0.0556640625,
-0.06591796875,
0.00189971923828125,
0.0556640625,
0.0064697265625,
-0.0751953125... | 13,941 | 13941 | |
Quiz 11: Second Order Linear Differential Equations
Question 1
If $y={e}^{2t}$ is a solution to $\frac{{d}^{2}y}{d{t}^{2}}-5\frac{dy}{dt}+ky=0$, what is the value of $k$?
Your answer is correct
Not correct. You may try again.
Question 2
If $y={e}^{3x}cosx$ is a solution to $\frac{{d}^{2}y}{d{x}^{2}}-6\frac{dy}{dx... | 5 | [
-0.040771484375,
-0.0032501220703125,
0.016357421875,
-0.06494140625,
0.00714111328125,
0.09765625,
0.0546875,
-0.045654296875,
0.00156402587890625,
0.08349609375,
0.1826171875,
-0.052734375,
-0.0225830078125,
0.0086669921875,
0.0262451171875,
0.0166015625,
-0.0810546875,
-0.000473... | 13,942 | 13942 | |
Parabola Lesson Plans: History, Properties, Investigations
HistoryHistory
Lesson I: Definition and geometric construction of a parabola
Definition: The parabola is the locus of a set of points equidistant from a fixed point, a... | 4 | [
-0.046875,
-0.025146484375,
-0.09521484375,
-0.060791015625,
-0.046142578125,
-0.0230712890625,
-0.0252685546875,
0.095703125,
-0.00970458984375,
0.06689453125,
0.1298828125,
0.03369140625,
0.0220947265625,
0.008056640625,
-0.07080078125,
0.047607421875,
-0.0732421875,
-0.097167968... | 13,943 | 13943 | |
(Krull) dimension of any associated graded ring of a ring R equals the dimension of R
up vote 8 down vote favorite
6
I am not sure if this is appropriate for MO. If not, I shall be happy to take it to SE.
For a local ring $(R,m)$, given any proper ideal $I$, the (Krull) dimension (from here on dimension means Krull d... | 4 | [
-0.109375,
0.030517578125,
-0.0390625,
0.04150390625,
-0.0189208984375,
-0.0228271484375,
0.01953125,
0.0286865234375,
-0.0322265625,
-0.11181640625,
-0.0164794921875,
-0.00052642822265625,
-0.0033721923828125,
0.02294921875,
-0.03515625,
-0.008544921875,
-0.017822265625,
0.0864257... | 13,944 | 13944 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
bmorg980 Group Title
i need to complete th... | 4 | [
0.01092529296875,
0.02685546875,
0.0037994384765625,
0.0322265625,
-0.044677734375,
-0.01373291015625,
-0.041015625,
0.051025390625,
-0.038818359375,
0.041015625,
0.0166015625,
-0.00811767578125,
0.024658203125,
-0.00634765625,
-0.013671875,
0.042724609375,
-0.0162353515625,
0.0128... | 13,945 | 13945 | |
A117497 - OEIS
%I
%S 0,1,2,2,3,3,4,3,4,4,5,4,5,5,5,4,5,5,6,5,6,6,7,5,6,6,6,6,7,6,7,5,6,6,
%T 7,6,7,7,7,6,7,7,8,7,7,8,9,6,7,7,7,7,8,7,8,7,8,8,9,7,8,8,8,6,7,7,8,7,
%U 8,8,9,7,8,8,8,8,8,8,9,7,8,8,9,8,8,9,9,8,9,8,9,9,9,10,9,7,8,8,8,8,9,8,9,8,9
%N Length of shortest sequence b with b(0) = 1, b(i+1) = b(i)+d where d|b(i)... | 4 | [
-0.0732421875,
0.0030364990234375,
-0.032470703125,
-0.08056640625,
-0.0137939453125,
0.045654296875,
0.0198974609375,
0.0224609375,
-0.061767578125,
0.020751953125,
-0.048583984375,
-0.0189208984375,
-0.0252685546875,
-0.00421142578125,
-0.11083984375,
-0.01519775390625,
-0.00096130... | 13,946 | 13946 | |
Pre-selection of markers for genomic selection
Abstract
Background
Accurate prediction of genomic breeding values (GEBVs) requires numerous markers. However, predictive accuracy can be enhanced by excluding markers with no effects or with inconsistent effects among
crosses that can adversely affect the prediction of ... | 4 | [
0.00186920166015625,
-0.01171875,
0.0361328125,
0.0125732421875,
0.10791015625,
0.08203125,
-0.03955078125,
-0.007476806640625,
-0.022216796875,
-0.01434326171875,
0.06396484375,
-0.06201171875,
-0.053955078125,
0.01300048828125,
-0.0169677734375,
0.019775390625,
0.0260009765625,
-... | 13,947 | 13947 | |
Evaluating Health Outcomes in the Presence of Competing Risk... : Medical Care
In evaluating the effectiveness of an intervention, clinicians need to consider the evidence on the effect of that intervention on the outcome of interest. This is straightforward when the outcome is
all-cause mortality, but more challenging... | 4 | [
-0.01708984375,
0.072265625,
-0.008056640625,
-0.039306640625,
0.109375,
0.068359375,
-0.07373046875,
0.10595703125,
0.06689453125,
-0.005035400390625,
0.0208740234375,
-0.06787109375,
0.04052734375,
-0.006195068359375,
-0.0048828125,
-0.06787109375,
-0.0283203125,
-0.020751953125,... | 13,948 | 13948 | |
Subjugation to the Sigmas
No doubt you've heard about the
tyranny of the 9s
in reference to computer system availability. You're probably also familiar with the phrase
six sigma
, either in the context of manufacturing process quality control or the improvement of business processes. As we discovered in the recent
... | 5 | [
-0.04541015625,
-0.09375,
0.03271484375,
-0.019775390625,
-0.00057220458984375,
0.03125,
-0.015625,
0.1357421875,
-0.052490234375,
-0.02197265625,
0.01470947265625,
0.0693359375,
0.02734375,
-0.026611328125,
-0.00174713134765625,
-0.0177001953125,
0.007080078125,
0.01507568359375,
... | 13,949 | 13949 | |
proof of -1 = +1
January 24th 2009, 01:52 PM #16
Global Moderator
Joined
Nov 2005
From
New York City
Posts
10,616
Thanks
9
yes, proof by counter-example is obvious here. i was hoping for something else. because this seems to imply a larger problem, namely, the distribution of powers over a product... | 4 | [
-0.111328125,
-0.0184326171875,
-0.0615234375,
0.07177734375,
-0.0272216796875,
-0.08837890625,
0.050537109375,
-0.1005859375,
0.05224609375,
-0.00738525390625,
0.00714111328125,
-0.006561279296875,
0.05859375,
0.05029296875,
0.048095703125,
0.06982421875,
-0.0244140625,
0.06494140... | 13,950 | 13950 | |
Chain Rule Notation
Date: 04/21/99 at 04:55:25
From: Eric
Subject: Chain Rule
I'm trying to figure out these questions:
Formula : (f*g)'(x)= g'(x) . f'[g(x)]
1) f(x) = 2x+6
g(x) = 3x-4
(f*g)'(x) = 3 . 2 = 6 I know that g'(x)= 3 but how about
f'[g(x)]? How does ... | 5 | [
0.06591796875,
0.030029296875,
0.09130859375,
-0.01300048828125,
-0.0185546875,
-0.0286865234375,
0.0145263671875,
-0.03125,
0.0233154296875,
0.025146484375,
0.06005859375,
-0.01495361328125,
0.0279541015625,
-0.040283203125,
-0.0308837890625,
0.083984375,
-0.05419921875,
0.0800781... | 13,951 | 13951 | |
Church Representations
Posted on March 6, 2014
A project I’ve been playing with lately is generalizing maybe. Now on the surface that sounds well.. boring. But there’s actually some interesting concepts buried in here.
Lambda The Almighty
Let’s start by specifying what I mean when I say “generalize”. When we look a... | 4 | [
-0.0791015625,
-0.01409912109375,
0.02685546875,
-0.0120849609375,
-0.056396484375,
0.009033203125,
0.046142578125,
-0.034912109375,
0.039306640625,
-0.0576171875,
-0.07080078125,
-0.0150146484375,
0.0380859375,
0.05419921875,
0.04345703125,
0.07080078125,
0.035888671875,
0.0922851... | 13,952 | 13952 | |
he Giza Pyramids
Secrets of the Giza Pyramids
from
... | 4 | [
-0.06396484375,
0.0306396484375,
-0.00811767578125,
0.06591796875,
-0.10009765625,
-0.07275390625,
-0.06494140625,
0.0252685546875,
-0.091796875,
0.031494140625,
-0.02001953125,
0.04638671875,
-0.05029296875,
0.01409912109375,
-0.0703125,
-0.0004749298095703125,
0.026123046875,
0.0... | 13,953 | 13953 | |
Mean Latitude/Longitude
Date: 07/10/2003 at 14:21:30
From: Peter Richard
Subject: Spherical Trigonometry
If we have three points on the earth measured in latitude/longitude,
such as 'A'= 33S54;151E12 / 'B'= 37S49;144E58 / 'C'= 51N30;0W10
what is the formula to calculate a mean latitude/longitude for this
group of 3?
... | 5 | [
0.0145263671875,
-0.00003814697265625,
0.013671875,
-0.09228515625,
-0.025390625,
-0.024169921875,
-0.042236328125,
0.0634765625,
0.0869140625,
-0.0025177001953125,
-0.01104736328125,
-0.0732421875,
0.033935546875,
0.01055908203125,
0.051025390625,
-0.08642578125,
-0.0400390625,
0.... | 13,954 | 13954 | |
Graphing Parabolas
Date: 01/16/97 at 23:59:49
From: Anonymous
Subject: Graphing Parabolas
I have trouble plotting points for a parabola. I find points from
putting the original equation into standard form. I have trouble
finding the vertex and the line of symmetry. I need a trick or a
short-cut or something.
Tha... | 4 | [
-0.048095703125,
0.045166015625,
0.0115966796875,
-0.00384521484375,
-0.0245361328125,
0.036376953125,
-0.080078125,
0.01043701171875,
-0.01214599609375,
0.03076171875,
0.05224609375,
0.0240478515625,
-0.0341796875,
0.07373046875,
0.0303955078125,
0.056396484375,
-0.039306640625,
-... | 13,955 | 13955 | |
Primes: p+1 a Multiple of 6?
Associated Topics || Dr. Math Home || Search Dr. Math
Primes: p+1 a Multiple of 6?
Da... | 4 | [
-0.0361328125,
-0.00811767578125,
0.0294189453125,
0.022705078125,
0.033203125,
0.08837890625,
0.017822265625,
0.037353515625,
-0.0279541015625,
0.0595703125,
-0.07666015625,
0.1044921875,
-0.036865234375,
-0.02880859375,
-0.0250244140625,
-0.04052734375,
-0.1484375,
0.007171630859... | 13,956 | 13956 | |
Inclusion Exclusion
Copyright © University of Cambridge. All rights reserved.
How many integers between 1 and 1200 are NOT multiples of any of the numbers 2, 3 or 5?
Working along the same lines, Emma and Laura from The Mount School, York sent the diagramand Lorn from Stamford School sent the solution below:
Simplif... | 4 | [
0.01153564453125,
-0.04150390625,
-0.00098419189453125,
-0.0966796875,
0.07470703125,
0.01611328125,
0.058349609375,
0.029541015625,
-0.10205078125,
0.0281982421875,
-0.040283203125,
0.00173187255859375,
0.12060546875,
-0.048095703125,
0.0033111572265625,
0.01904296875,
-0.0149536132... | 13,957 | 13957 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
noah Group Title
A balloon rises slowly in... | 5 | [
-0.00616455078125,
0.0986328125,
0.005859375,
0.02685546875,
0.047607421875,
0.050537109375,
0.021484375,
0.103515625,
-0.06884765625,
-0.01068115234375,
0.02001953125,
-0.0322265625,
-0.0712890625,
0.06396484375,
0.005462646484375,
0.0308837890625,
0.046875,
-0.0277099609375,
-0... | 13,958 | 13958 | |
Formula for phi(n)
Date: 05/09/2003 at 11:36:49
From: Jay Brandon
Subject: Phi Function
I am investigating the phi function and am stuck at one point.
Ultimately my aim is to get a formula for phi(n) where n is any
positive integer. I would appreciate it if you could explain in
detail how you get from the above to t... | 4 | [
-0.0439453125,
0.06201171875,
0.03955078125,
0.08642578125,
0.00799560546875,
0.057861328125,
0.0556640625,
0.0791015625,
0.039306640625,
-0.00689697265625,
0.0005950927734375,
0.103515625,
0.002227783203125,
0.05078125,
0.0230712890625,
-0.018310546875,
-0.07080078125,
0.013671875... | 13,959 | 13959 | |
Heine-Borel theorem
In mathematical analysis, the Heine-Borel Theorem states:
A subset of the real numbers R is compact iff it is closed and bounded.
The central idea arose from trying to find uniform bounds on the behavior of a
function
over all points in a set. Such bounds could often be found for some small... | 5 | [
-0.11962890625,
0.01904296875,
-0.0966796875,
0.050537109375,
0.052001953125,
0.07275390625,
0.05078125,
0.02587890625,
0.044677734375,
-0.004302978515625,
-0.0869140625,
0.0859375,
0.03466796875,
0.00787353515625,
0.029296875,
-0.130859375,
-0.055419921875,
-0.049560546875,
-0.0... | 13,960 | 13960 | |
Jacobs Physics
The 2004 AP Physics B exam includes a clever problem combining kinematics and static fluids. That's problem 2,
linked here
. I assigned this problem on my trimester exam, and got reasonably good results.
Anytime you're teaching a class of 37 students, though, you're going to have frustrations grading... | 5 | [
-0.035888671875,
0.076171875,
0.050048828125,
-0.00008916854858398438,
-0.08740234375,
-0.0284423828125,
0.01202392578125,
0.0123291015625,
-0.00909423828125,
0.0712890625,
0.056640625,
0.000885009765625,
-0.0201416015625,
0.0223388671875,
-0.09130859375,
-0.01220703125,
-0.043701171... | 13,961 | 13961 | |
equidistribution on the unit circle of particular sequences of finite subsets
up vote 6 down vote favorite
1
Given a strictly convex function $g : [0, 1] \to \mathbb{R}$, I'm curious about the asymptotic distribution of the points $\exp{(2 \pi i N g(n / N))}$ for $n = 1, 2, \dots, N$, counted with
multiplicity, as $N$... | 5 | [
-0.09619140625,
-0.0478515625,
-0.0089111328125,
0.00439453125,
-0.007537841796875,
-0.01953125,
0.10107421875,
0.00775146484375,
0.09326171875,
-0.06494140625,
-0.072265625,
0.023193359375,
0.08056640625,
-0.08154296875,
-0.00244140625,
-0.0927734375,
0.07763671875,
-0.11962890625... | 13,962 | 13962 | |
HIGH-RESOLUTION URBAN TRUE ORTHOIMAGE CREATION
Patent application title: HIGH-RESOLUTION URBAN TRUE ORTHOIMAGE CREATION
Sign up to receive free email alerts when patent applications with chosen keywords are published SIGN UP
Abstract:
A method, system, a... | 4 | [
0.00537109375,
0.031494140625,
0.07421875,
-0.08447265625,
0.0673828125,
-0.045166015625,
-0.04296875,
-0.0211181640625,
-0.0380859375,
0.0211181640625,
0.0245361328125,
-0.0291748046875,
0.09619140625,
0.00372314453125,
-0.0303955078125,
0.037109375,
0.00714111328125,
0.0766601562... | 13,963 | 13963 | |
Rationalised K-theory of number fields
up vote 11 down vote favorite
5
Let $A$ be the ring of integers in a number field, and consider the rationalised algebraic $K$-theory groups $\mathbb{Q}\otimes K_*(A)$. A theorem of Borel calculates the ranks of these groups; the
answer can be described as follows. The tensor pro... | 4 | [
-0.08642578125,
-0.0230712890625,
-0.0732421875,
-0.01275634765625,
-0.038330078125,
0.138671875,
0.061767578125,
-0.06787109375,
0.06494140625,
-0.0654296875,
-0.00372314453125,
0.01409912109375,
0.031982421875,
0.0966796875,
-0.0150146484375,
-0.005218505859375,
-0.01708984375,
0... | 13,964 | 13964 | |
dy
Got Homework?
Connect with other students for help. It's a free community.
• across
MIT Grad Student
Online now
• laura*
Helped 1,000 students
Online now
• Hero
College Math Guru
Online now
Here's the question you clicked on:
Emily778 Group Title
when serving in tenni... | 4 | [
0.001922607421875,
0.07470703125,
0.07763671875,
-0.0615234375,
-0.046630859375,
0.0216064453125,
-0.037109375,
0.1416015625,
0.0028228759765625,
0.0966796875,
0.07958984375,
-0.0057373046875,
0.0123291015625,
0.038818359375,
-0.0189208984375,
0.05322265625,
0.0203857421875,
-0.051... | 13,965 | 13965 | |
Probability and Baseball - CBS New York
Probability and Baseball
July 14, 2010 12:38 PM
Before the popularization of sabermetrics in the late 1970’s, a good number of baseball statisticians and historians believed that Ty Cobb was the greatest player who ever lived. Winning twelve
batting titles in a thirteen year st... | 4 | [
0.037353515625,
0.087890625,
-0.03857421875,
-0.032470703125,
0.0211181640625,
0.053955078125,
0.0120849609375,
0.123046875,
0.06201171875,
0.103515625,
-0.0162353515625,
-0.05078125,
-0.0126953125,
-0.0042724609375,
-0.006805419921875,
-0.0289306640625,
-0.0166015625,
-0.008056640... | 13,966 | 13966 | |
A question about fibrations of simplicial sets and their fibers
up vote 5 down vote favorite
1
I couldn't think of a title for this, but here we go:
Fix $p:S\rightarrow T$, a left fibration of simplicial sets, and an edge $f:\Delta^1 \rightarrow T$. Let $t$ be the first vertex of $f$, and $t'$ be the second vertex.
W... | 4 | [
-0.037841796875,
0.02099609375,
0.014404296875,
-0.0654296875,
-0.0322265625,
0.06396484375,
0.06640625,
0.0498046875,
0.009765625,
0.037109375,
0.07421875,
0.0380859375,
-0.01226806640625,
0.027099609375,
0.00750732421875,
0.0164794921875,
-0.01129150390625,
-0.0771484375,
-0.01... | 13,967 | 13967 | |
Inverses in the Field GF(2^8)
Date: 11/07/2000 at 07:12:20
From: mmcl
Subject: Multiplicative Inverse in GF(2^8)
I have a 4x4 matrix of bytes:
[B0 B4 B8 B12]
[B1 B5 B9 B13]
[B2 B6 B10 B14]
[B3 B7 B11 B15]
I need to get the multiplicative inverse of this matrix in GF(2^8). Is
this ... | 5 | [
0.01708984375,
0.0142822265625,
-0.0184326171875,
-0.017822265625,
-0.0498046875,
-0.11669921875,
-0.00775146484375,
-0.0155029296875,
-0.0255126953125,
0.01409912109375,
-0.025146484375,
0.00909423828125,
-0.018798828125,
-0.02490234375,
-0.037353515625,
0.107421875,
-0.034912109375... | 13,968 | 13968 | |
bl
Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 792.05103
Autor: Erdös, Paul; Faudree, Ralph J.; Rousseau, C.C.; Schelp, R.H.
T... | 4 | [
-0.0123291015625,
0.055419921875,
0.04931640625,
-0.037841796875,
0.10009765625,
0.033203125,
0.01171875,
0.04052734375,
-0.0264892578125,
0.08837890625,
-0.08984375,
0.00860595703125,
0.036865234375,
-0.019775390625,
-0.0299072265625,
0.046142578125,
-0.0035247802734375,
-0.025390... | 13,969 | 13969 | |
A Matlab program for comparing Runge-Kutta methods
In a previous post, we compared the results from various 2nd order Runge-Kutta methods to solve a first order ordinary differential equation. In this post, I am posting the matlab program. It is
better to download the program as single quotes in the pasted version do ... | 5 | [
-0.08154296875,
0.0057373046875,
-0.025634765625,
-0.04736328125,
0.002105712890625,
-0.06640625,
-0.1201171875,
0.044921875,
0.024658203125,
0.017333984375,
0.0191650390625,
-0.0087890625,
-0.00494384765625,
-0.076171875,
-0.01373291015625,
-0.0024261474609375,
-0.0179443359375,
-... | 13,970 | 13970 | |
Longitudinal beta regression models for analyzing health-related quality of life scores over time
Abstract
Background
Health-related quality of life (HRQL) has become an increasingly important outcome parameter in clinical trials and epidemiological research. HRQL scores are typically bounded at both ends of the
scal... | 4 | [
0.032470703125,
-0.01953125,
0.034912109375,
0.09228515625,
0.03759765625,
0.1064453125,
-0.06591796875,
0.022705078125,
0.031982421875,
-0.08544921875,
0.0186767578125,
0.051025390625,
-0.0174560546875,
0.010009765625,
-0.0030517578125,
-0.031494140625,
0.00762939453125,
-0.013610... | 13,971 | 13971 | |
SICP Exercise 1.24: The Fermat Test
From SICP section
1.2.6 Example: Testing for PrimalityExercise 1.24
asks us to once again modify the
timed-prime-test
procedure from exercise
1.22
, this time using
fast-prime?
(which uses the Fermat test), then test the improvement using the timing statistics we gathered bef... | 4 | [
-0.007598876953125,
-0.000751495361328125,
-0.00157928466796875,
0.08935546875,
0.08935546875,
-0.0269775390625,
0.059326171875,
0.02490234375,
0.01165771484375,
0.0152587890625,
-0.040771484375,
0.07958984375,
-0.019287109375,
0.033447265625,
0.045166015625,
-0.09423828125,
-0.00903... | 13,972 | 13972 | |
Alternate definition for the torsion tensor
up vote 2 down vote favorite
1
I would be pleased to have some information about an alternate definition for the torsion tensor.
Let us consider a smooth manifold $\mathcal{M}$ together with an arbitrary connection $\nabla$. The first definition for the torsion that I mostl... | 4 | [
-0.05126953125,
-0.05615234375,
0.0142822265625,
-0.031982421875,
-0.0140380859375,
0.03857421875,
0.0390625,
0.01165771484375,
0.0380859375,
-0.0322265625,
0.07861328125,
0.0086669921875,
-0.04052734375,
-0.0001316070556640625,
0.025634765625,
0.0120849609375,
-0.06396484375,
0.07... | 13,973 | 13973 | |
Linear Regression With Pig
It's a bit silly trying to motivate a discussion of linear regression. It's everywhere. Linear regression is typically the first pass step for understanding a dataset. Is there a linear relationship
between my variables? Maybe. Let's try linear regression! In other, and less precise, words we... | 5 | [
0.017333984375,
-0.034423828125,
-0.01531982421875,
-0.0247802734375,
-0.03466796875,
0.00958251953125,
-0.1259765625,
-0.0419921875,
-0.0027618408203125,
0.0478515625,
0.057861328125,
-0.01202392578125,
0.0284423828125,
0.04443359375,
0.01312255859375,
-0.00982666015625,
0.024047851... | 13,974 | 13974 | |
irreducible elements in a ideal of $R[x_1,x_2]$
up vote 1 down vote favorite
Let $\mathbf R$ denote the real numbers, let's take a finite number of points in $\mathbf R^2$ and let's take the ideal $I$ of all the polynomials that vanish on this points. Using the Hilbert basis
theorem we know that $I$ is finitely genera... | 5 | [
-0.006500244140625,
-0.0179443359375,
-0.050048828125,
0.0673828125,
0.06298828125,
-0.0257568359375,
0.037109375,
-0.0595703125,
-0.006805419921875,
-0.06884765625,
-0.042236328125,
-0.02294921875,
0.048583984375,
-0.07373046875,
-0.022216796875,
0.07421875,
-0.04052734375,
0.0228... | 13,975 | 13975 | |
ARSC T3D Users' Newsletter 85, May 3, 1996
How Much does that Division Cost?
The DEC Alpha processor is an IEEE processor. It supports both the formats and arithmetic functions as defined by the ANSI/IEEE STD 754-1985 document as produced by the Floating-Point Working Group
of the Microprocessor Standards Subcommitte... | 4 | [
-0.0869140625,
0.051025390625,
-0.0537109375,
-0.0380859375,
-0.053466796875,
-0.08154296875,
-0.0498046875,
0.05908203125,
0.039794921875,
0.056884765625,
-0.0177001953125,
-0.016357421875,
-0.039794921875,
-0.031982421875,
-0.051025390625,
-0.0849609375,
-0.02978515625,
0.0424804... | 13,976 | 13976 | |
Is there a Dirichlet Unitary Unit Theorem?
up vote 2 down vote favorite
Dirichlet's unit theorem computes the group of units of the algebraic numbers of a number field. There are a few generalisations for orders available.
Assume the order has an involution. For example, the number field $\mathbb{Q}(\xi_1,\dots,\xi_n... | 5 | [
-0.1318359375,
-0.05078125,
-0.08203125,
-0.0035400390625,
-0.07666015625,
-0.0458984375,
0.035400390625,
-0.0810546875,
0.0654296875,
-0.1279296875,
0.05419921875,
0.006622314453125,
0.02978515625,
0.0120849609375,
-0.046142578125,
-0.03955078125,
-0.035888671875,
0.051513671875,
... | 13,977 | 13977 | |
conversion of scattering data recorded with linear and area detectors
Volume 46
Part 4 xrayutilities: a versatile tool for reciprocal space conversion of scattering data recorded with linear and area detectors
Pages
1162-1170
August
2013 General algorithms to convert scattering data of linear and... | 4 | [
0.0712890625,
0.0108642578125,
-0.035888671875,
-0.041748046875,
0.08251953125,
-0.08984375,
-0.01068115234375,
0.00439453125,
-0.078125,
-0.048095703125,
0.0279541015625,
-0.019775390625,
0.00732421875,
0.07958984375,
-0.09326171875,
-0.0673828125,
-0.0498046875,
0.0625,
-0.0471... | 13,978 | 13978 | |
The Boundary Value Problem of the Equations with Nonnegative Characteristic Form
We study the generalized Keldys-Fichera boundary value problem for a class of higher order equations with nonnegative characteristic. By using the acute angle principle and the Hölder inequalities
and Young inequalities we discuss the exis... | 5 | [
-0.07177734375,
0.059326171875,
0.08740234375,
-0.02783203125,
0.01446533203125,
0.06201171875,
-0.01806640625,
0.05322265625,
0.057861328125,
-0.048583984375,
0.06103515625,
0.0032806396484375,
0.0018310546875,
-0.0634765625,
0.04931640625,
0.042724609375,
-0.005645751953125,
-0.0... | 13,979 | 13979 | |
Triangles and Law of Sines
Date: 03/27/98 at 17:32:36
From: Heathe
Subject: Trigonometry
I am having problems with the Law of Sines. To be specific, I don't
know how to tell if the information I'm given produces more than one
triangle. Solving for one is simple. That I can do. But some of the
problems in my book pro... | 4 | [
-0.058837890625,
0.08740234375,
-0.01287841796875,
0.06298828125,
0.000652313232421875,
0.0458984375,
-0.042236328125,
0.04541015625,
0.00799560546875,
0.07958984375,
0.0294189453125,
-0.10302734375,
-0.000091552734375,
0.03759765625,
0.0703125,
-0.040283203125,
-0.09326171875,
-0.... | 13,980 | 13980 | |
A special integral polynomial
up vote 5 down vote favorite
2
Given $n \in \mathbf{N}$,is always possible to construct a monic polynomial in $\mathbf{Z}[x]$ of degree $2n$, whose roots are in $\mathbf{C} \setminus \mathbf{R}$ and whose Galois group over $\
mathbf{Q}$ is $S_{2n}$? I have an approximate idea of how to so... | 5 | [
-0.008056640625,
-0.04248046875,
-0.054443359375,
0.034423828125,
0.050537109375,
-0.0018768310546875,
-0.0194091796875,
0.07080078125,
0.050537109375,
-0.0859375,
0.015625,
0.002838134765625,
0.0072021484375,
0.0220947265625,
0.002197265625,
-0.0126953125,
-0.0712890625,
0.0573730... | 13,981 | 13981 | |
Density character of $\ell_\infty(\kappa, S)$
up vote 4 down vote favorite
1
Let $S$ be an uncountable set. Consider the subspace $\ell_\infty(\kappa, S)$ of $\ell_\infty(S)$ formed by all functions with support of cardinality at most $\kappa$ (here $\kappa<|S|$). Certainly,
$\ell_\infty\subset \ell_\infty(\kappa, S)$... | 5 | [
0.0234375,
-0.07421875,
-0.060546875,
0.044677734375,
0.10888671875,
0.1201171875,
0.03857421875,
0.0166015625,
0.046630859375,
-0.041015625,
-0.029052734375,
0.01068115234375,
0.103515625,
-0.0233154296875,
0.0322265625,
-0.0057373046875,
0.04931640625,
-0.0830078125,
-0.0600585... | 13,982 | 13982 | |
Distance Fields for Smoothed, Convex Polyhedra
Today was a very fun math day, and I want to share a bit of my experimentation. Of all the things I did today, one of the most useful was to come up with a formula for the distance field of a convex
polyhedron, defined by some set of planes. I also implemented a smoothe... | 4 | [
-0.02197265625,
-0.015869140625,
-0.000560760498046875,
-0.076171875,
-0.07080078125,
-0.01953125,
0.05322265625,
-0.0216064453125,
0.050048828125,
0.0169677734375,
-0.0240478515625,
-0.0185546875,
-0.04443359375,
0.0279541015625,
-0.0703125,
-0.01007080078125,
0.06103515625,
-0.07... | 13,983 | 13983 | |
nLab
Context
Foundations
The basis of it all
Foundational axioms
• basic constructions:
• strong axioms
Removing axioms
Contents
Idea
The commonly accepted standard foundation of mathematics today is a material set theory, $ZFC$ or Zermelo–Fraenkel set theory with the axiom of choice.
History
The first v... | 4 | [
-0.0025482177734375,
-0.0296630859375,
-0.0118408203125,
-0.020751953125,
0.09423828125,
-0.0084228515625,
-0.01611328125,
0.10205078125,
-0.0098876953125,
0.0303955078125,
-0.05029296875,
0.0024566650390625,
0.0390625,
0.0252685546875,
0.030029296875,
-0.03564453125,
-0.000033855438... | 13,984 | 13984 | |
Posts from March 2012 on Just Rakudo It
So, I plunged ahead and implemented mjd’s z function in Perl 6. This is the first simple step to full continued fraction arithmetic, allowing addition with a rational, multiplication by a rational,
and taking the reciprocal of a continued fraction. (And oh! I just accidentally di... | 4 | [
-0.1171875,
0.060791015625,
-0.0306396484375,
-0.0279541015625,
-0.00311279296875,
0.0035247802734375,
-0.06396484375,
-0.048583984375,
-0.0172119140625,
0.03076171875,
0.01226806640625,
0.020751953125,
0.0238037109375,
0.02099609375,
-0.058349609375,
0.0712890625,
-0.05419921875,
... | 13,985 | 13985 | |
A proof of the Bernstein inequality
up vote 3 down vote favorite
2
A friend is looking for a clean proof of the following inequality of Bernstein: If $f: R \to R$ is a bounded function whose Fourier transform has compact support, then $ \|f'\|_{\infty} \le C \| f \|
_{\infty} $ where $C$ only depends on the support o... | 5 | [
-0.0771484375,
0.020751953125,
-0.00811767578125,
0.018310546875,
0.1123046875,
0.2041015625,
-0.00186920166015625,
0.126953125,
-0.0830078125,
0.06201171875,
-0.07666015625,
0.0654296875,
0.06201171875,
-0.09619140625,
-0.0269775390625,
0.008544921875,
0.035888671875,
-0.000961303... | 13,986 | 13986 | |
ECE 606 Lecture 3: Emergence of Bandstructure
Abstract
Table of Contents:
00:00 ECE606: Solid State Devices Lecture 3
00:24 Motivation
01:17 Time-independent Schrodinger Equation
02:22 Time-independent Schrodinger Equation
04:23 A Simple Differential Equation
05:29 Presentation Outline
05:46 Full Problem Difficult: ... | 5 | [
-0.08740234375,
0.0260009765625,
0.07568359375,
0.0634765625,
-0.01312255859375,
0.019287109375,
-0.053466796875,
0.036865234375,
-0.035888671875,
0.072265625,
-0.04541015625,
-0.043701171875,
-0.03369140625,
-0.02099609375,
0.038818359375,
-0.017578125,
-0.00014209747314453125,
-0... | 13,987 | 13987 | |
Math Forum: Teacher2Teacher - Q&A #849
Teachers' Lounge Discussion: Factoring the sum and difference of two cubes
... | 4 | [
0.0194091796875,
0.00005555152893066406,
-0.0052490234375,
0.06201171875,
-0.004486083984375,
0.0179443359375,
-0.027099609375,
0.057861328125,
0.0087890625,
0.01409912109375,
-0.003936767578125,
-0.0252685546875,
0.0203857421875,
0.0712890625,
0.036865234375,
0.056884765625,
0.07714... | 13,988 | 13988 | |
uction
The Canadarm2 on the International Space Station during the STS-114 space shuttle mission. Robotic arms like the Canadarm2 use inverse kinematics to position its endeffector at a specific location.
This assignment is intended to let you experiment with inverse kinematics using MATLAB simulations.
Inverse kinem... | 4 | [
-0.06396484375,
-0.0150146484375,
0.042724609375,
-0.042724609375,
-0.091796875,
-0.05517578125,
-0.0240478515625,
0.048095703125,
0.05322265625,
0.068359375,
0.047119140625,
0.049560546875,
0.058349609375,
-0.068359375,
-0.045654296875,
-0.030517578125,
0.000637054443359375,
0.079... | 13,989 | 13989 | |
Inductors
Question 1:
A 5 H inductor is subjected to an electric current that changes at a rate of 4.5 amps per second. How much voltage will be dropped by the inductor?
This inductor will drop 22.5 volts.
Notes:
Don't give your students the equation with which to perform this calculation! Let them find it on their... | 4 | [
0.005157470703125,
0.06298828125,
0.01153564453125,
0.0010528564453125,
0.038330078125,
0.0169677734375,
-0.0216064453125,
0.0113525390625,
0.060791015625,
0.01806640625,
0.09228515625,
-0.02001953125,
0.0498046875,
0.0927734375,
-0.0211181640625,
0.08154296875,
-0.0546875,
0.03247... | 13,990 | 13990 | |
January
When attempting to solve certain problems, it is often useful to approximate a function as a polynomial. Polynomials are generally easier to deal with in calculus problems than other functions, and
many functions can be approximated as polynomials to arbitrary precision.
The general method for producing a po... | 4 | [
-0.01470947265625,
0.023681640625,
0.00714111328125,
0.0244140625,
-0.04296875,
-0.048583984375,
-0.0654296875,
0.015380859375,
0.04150390625,
0.035888671875,
-0.0048828125,
-0.028564453125,
0.00689697265625,
0.027587890625,
-0.001068115234375,
0.00104522705078125,
-0.03564453125,
... | 13,991 | 13991 | |
Fault Trees and Markov Models
Consider a system consisting of one continuously monitored active component, with failure rate l[A] = 10^-4 per hour, and two un-monitored back-up components with failure rates l[L] = 10^-5 per hour,
and suppose the individual mission length is 10 hours (during which no repairs are possib... | 4 | [
-0.0026092529296875,
-0.006378173828125,
0.0380859375,
0.0167236328125,
0.061279296875,
-0.050048828125,
-0.0103759765625,
0.0703125,
0.00897216796875,
0.055419921875,
-0.0498046875,
-0.005340576171875,
0.13671875,
0.0166015625,
-0.07177734375,
-0.0269775390625,
-0.019775390625,
-0... | 13,992 | 13992 | |
Patent US3968471 - Method for suppressing side lobes in correlation processes
CROSS-REFERENCE TO RELATED APPLICATION
This application is a continuation-in-part of my copending application Ser. No. 218,284 filed Jan. 17, 1972, assigned to the same assignee, and now U.S. Pat. No. 3,863,058.
BACKGROUND OF THE INVENTION
... | 4 | [
-0.08984375,
-0.02490234375,
0.06103515625,
0.000812530517578125,
-0.07275390625,
-0.042236328125,
-0.00069427490234375,
-0.004547119140625,
0.04150390625,
-0.06103515625,
-0.0019989013671875,
-0.00067138671875,
0.04931640625,
-0.10107421875,
-0.0537109375,
0.00555419921875,
0.049804... | 13,993 | 13993 | |
Pythagorean formula question of sorts with B related to length of A
November 2nd 2012, 06:02 PM
freedda
Pythagorean formula question of sorts with B related to length of A
I am a non-math person with a math question. Suppose you have an Pythagorean formula, but there is a known relationship in length between A a... | 4 | [
0.024169921875,
0.050048828125,
-0.039306640625,
-0.017578125,
-0.029296875,
0.05615234375,
-0.05517578125,
0.020751953125,
0.052734375,
0.00714111328125,
0.06591796875,
-0.00469970703125,
0.0012664794921875,
0.07568359375,
0.0213623046875,
0.0458984375,
-0.051513671875,
0.02539062... | 13,994 | 13994 | |
S.A.Tricky
Here's an S.A.T. problem that stumped my students and me (for a little while).
Problem:
a - b = 10
a^2 - b^2 = 50
Find b.
Solution:
My instincts were to look for a connection between (a - b)^2 and a^2 - b^2, but it's really much simpler than that. Solve for a in terms of b in the first equation, and su... | 4 | [
-0.0537109375,
0.07666015625,
0.00182342529296875,
-0.01214599609375,
-0.0166015625,
0.0172119140625,
0.0302734375,
0.01904296875,
-0.033935546875,
-0.0079345703125,
0.051025390625,
0.01708984375,
0.052001953125,
0.11767578125,
0.0091552734375,
0.08935546875,
-0.002899169921875,
-0... | 13,995 | 13995 | |
Ordered field
In
mathematics
, an
ordered field
is a
field
(
F
,+,*) together with a
total order
≤ on
F
that is compatible with the algebraic operations in the following sense:
• if a ≤ b then a + c ≤ b + c
• if 0 ≤ a and 0 ≤ b then 0 ≤ a b
It follows from these axioms that for every
a
,
b
,
c
... | 4 | [
-0.01153564453125,
0.07080078125,
0.033447265625,
-0.04150390625,
-0.07177734375,
0.00640869140625,
-0.07177734375,
-0.03466796875,
0.11279296875,
-0.03564453125,
-0.07275390625,
0.0205078125,
0.048095703125,
0.0260009765625,
-0.051513671875,
0.037109375,
0.0208740234375,
0.0128173... | 13,996 | 13996 | |
Time to Evolve 2
Copyright © University of Cambridge. All rights reserved.
'Time to Evolve 2' printed from http://nrich.maths.org/
The span of time between births of Parent and Child is [5, 15]. Similarly for Grandparent and Parent. Therefore, from Grandparent to Child is [5, 15] + [5, 15] = [10, 30].
The longest ti... | 5 | [
-0.0693359375,
0.045166015625,
0.010498046875,
-0.052734375,
0.0101318359375,
-0.005096435546875,
-0.18359375,
0.03662109375,
-0.00518798828125,
0.0125732421875,
0.08203125,
0.0205078125,
0.04833984375,
0.08203125,
0.021240234375,
-0.07421875,
0.03369140625,
-0.060791015625,
0.00... | 13,997 | 13997 | |
Rings — A Second Primer
Last time we defined and gave some examples of rings. Recapping, a ring is a special kind of group with an additional multiplication operation that “plays nicely” with addition. The important thing
to remember is that a ring is intended to remind us arithmetic with integers (though not too much... | 4 | [
-0.08056640625,
-0.0159912109375,
-0.07373046875,
-0.0257568359375,
-0.0205078125,
-0.1357421875,
0.0218505859375,
0.0167236328125,
0.0634765625,
-0.07177734375,
-0.011474609375,
0.033935546875,
0.10205078125,
0.0137939453125,
-0.0274658203125,
-0.031494140625,
-0.017578125,
0.0957... | 13,998 | 13998 | |
A171271 - OEIS
A171271 Numbers n such that phi(n)=2*phi(n-1). 3
3, 5, 17, 155, 257, 287, 365, 805, 1067, 2147, 3383, 4551, 6107, 7701, 8177, 9269, 11285, 12557, 12971, 16403, 19229, 19277, 20273, 25133, 26405, 27347, 29155, 29575, 35645, 36419, 38369, 39647,
40495, 47215, 52235, 54653, 65537, 84863 (list; graph; ... | 4 | [
-0.056884765625,
-0.0086669921875,
-0.0111083984375,
0.036376953125,
0.0634765625,
0.016845703125,
0.0133056640625,
0.05859375,
0.0152587890625,
-0.009765625,
-0.07470703125,
0.07568359375,
-0.0198974609375,
-0.0098876953125,
-0.0478515625,
-0.045654296875,
-0.042236328125,
-0.0683... | 13,999 | 13999 |