url stringlengths 14 2.42k | text stringlengths 100 1.02M | date stringlengths 19 19 | metadata stringlengths 1.06k 1.1k |
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https://www.earthdoc.org/content/papers/10.3997/2214-4609-pdb.316.184 | 1887
PDF
### Abstract
Rock temperatures at shallow depths within the Earth are an archive of temperature changes that have occurred at the surface of the Earth in the recent past. Thus subsurface temperatures comprise a valuable complement to surface meteorological data in understanding the Earth's surface temperatur... | 2021-10-27 01:35:52 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://puzzling.stackexchange.com/questions/41150/this-is-an-opportunity-can-you-take-it | # This is an opportunity. Can you take it?
The first thing you hear on awakening is the clock. It sounds just like the one you have in your room. But what you see defies what you hear.
You've never seen this room before. You don't remember how you got here. The last thing you can remember is that your mission went ho... | 2019-05-19 19:20:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/mond-and-the-missing-baryons-problem.837853/ | # MOND and the missing baryons problem
1. Oct 15, 2015
### wolram
http://arxiv.org/pdf/1508.04001v2.pdf
Although i am not a proponent of MOND this paper gives an alternative to the missing baryons problem
The colliding ‘Bullet Cluster’ is often adduced as strong evidence for DM, with the understood – 3 – implicati... | 2017-10-17 02:20:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.formulasearchengine.com/wiki/Trace_inequalities | # Trace inequalities
In mathematics, there are many kinds of inequalities connected with matrices and linear operators on Hilbert spaces. This article reviews some of the most important operator inequalities connected with traces of matrices.
Useful references here are,.[1][2][3][4]
## Basic definitions
Let ${\disp... | 2023-03-30 04:35:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 216, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://www.mathworks.com/help/rf/timeresp.html?nocookie=true | Accelerating the pace of engineering and science
# timeresp
Time response for rational function object
## Syntax
[y,t] = timeresp(h,u,ts)
## Description
[y,t] = timeresp(h,u,ts) computes the output signal, y, that the rational function object, h, produces in response to the given input signal, u.
The input h is ... | 2014-12-27 15:56:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.maths.usyd.edu.au/u/pubs/publist/pubs2012.html | # Research Publications for 2012
## Books
A2. Henderson A: Representations of Lie Algebras: An Introduction Through $$\mathfrak{gl}_n$$. Australian Mathematical Society Lecture Series (No. 22), Series editor-in-chief: Professor Cheryl Praeger (ed.), Cambridge University Press, Cambridge, UK, 2012, ISBN 9781107653610,... | 2019-02-23 14:05:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.x-mol.com/paper/article/1308095725673091072 | Find Paper, Faster
Example：10.1021/acsami.1c06204 or Chem. Rev., 2007, 107, 2411-2502
We define the stabilizing number $sn ( K )$ of a knot $K ⊂ S 3$ as the minimal number $n$ of $S 2 × S 2$ connected summands required for $K$ to bound a null‐homologous locally flat disk in $D 4 # n S 2 × S 2$. This quantity is defined... | 2021-12-06 13:52:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 10, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.onlinetestsindia.com/start_test/upcmet/physics/motion-of-system-of-particles-and-rigid-body/96/24/449 | ### Physics - Motion of System of Particles and Rigid Body
#### Question - 1
In the HCI molecule, the separation between the nuclei of the two atoms is about 1.27 A (1A = ${ 10 }^{ -10 }$ m). Givan that, chlorine atom is about 35.5 times as massive as a hydrogen atom and all the mass of the atom is concentrated in... | 2021-10-24 22:33:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/70446/list | 2 corrected a typo
Consider $S_{n}$ the symmetric group and for each $\sigma\in S_{n}$ let $U_{\sigma}$ be its $n\times n$ permutation matrix. Let $A$ be an Hermitian $n\times n$ matrix. I'm interested in computing the average $$\mathbb{E}(A):=\sum_{\sigma \in S_{n}}{w(\sigma) U_{\sigma} A U_{\sigma}^{*}}$$
where the... | 2013-05-25 23:55:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://atcoder.jp/contests/abc268/tasks/abc268_a | Contest Duration: - (local time) (100 minutes) Back to Home
A - Five Integers /
Time Limit: 2 sec / Memory Limit: 1024 MB
### 制約
• 0 \leq A, B, C, D, E \leq 100
• 入力はすべて整数
### 入力
A B C D E
### 入力例 1
31 9 24 31 24
### 出力例 1
3
### 入力例 2
0 0 0 0 0
### 出力例 2
1
Score : 100 points
### Problem Statement
P... | 2023-02-07 09:17:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stacks.math.columbia.edu/tag/00WA | Definition 7.10.9. We say that a presheaf of sets $\mathcal{F}$ on a site $\mathcal{C}$ is separated if, for all coverings of $\{ U_ i \rightarrow U\}$, the map $\mathcal{F}(U) \to \prod \mathcal{F}(U_ i)$ is injective.
There are also:
• 8 comment(s) on Section 7.10: Sheafification
In your comment you can use Markdo... | 2023-03-29 06:56:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/User_talk:Apovolot | # User talk:Apovolot
I replied on my talk page. linas (talk) 14:55, 17 April 2008 (UTC)
## Speedy deletion of "Alexander R. Povolotsky's problem 1"
A page you created, Alexander R. Povolotsky's problem 1, has been tagged for deletion, as it meets one or more of the criteria for speedy deletion; specifically, it is v... | 2018-03-20 10:25:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://tex.stackexchange.com/questions/1279/replace-et-al-with-al | # Replace et al. with \& al.
I’m a big fan of ampersands (possibly too much …) and I’d like to replace all mentions of “et al.” (included in citations) by \& al. – both in the main text (I use natbib citations of the form [Author1 et al., 1999]), and in the actual bibliography?
How can I do that, considering that Bib... | 2014-07-29 13:31:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/bisecting-a-parallelogram/ | # Bisecting a Parallelogram
Geometry Level 4
Let $$A = (0,0)$$, $$B = (2,4)$$, $$C = (17,4)$$ and $$D = (15,0)$$. Then $$ABCD$$ is a parallelogram. A line through the point $$(0,-1)$$ divides the parallelogram into two regions of equal area. The slope of this line can be written as $$\frac{a}{b}$$ where $$a$$ and $$b... | 2017-05-27 19:45:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/41268-curvature.html | Math Help - Curvature
1. Curvature
Calculate the curvature at the top of the curve of the parabola $y=ax^2+bx+c$
2. Originally Posted by lynch-mob
Calculate the curvature at the top of the curve of the parabola $y=ax^2+bx+c$
$\kappa = \frac{|y''|}{(1 + y'^2)^{3/2}}$
In your case, since the slope is zero at the maxi... | 2014-08-29 06:12:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 22, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.groundai.com/project/cosmospec-fast-and-detailed-computation-of-the-cosmological-recombination-radiation-from-hydrogen-and-helium/ | Recombination Spectrum
# CosmoSpec: Fast and detailed computation of the cosmological recombination radiation from hydrogen and helium
## Abstract
We present the first fast and detailed computation of the cosmological recombination radiation released during the hydrogen (redshift ) and helium ( and ) recombination e... | 2018-09-26 02:23:36 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.azimuthproject.org/azimuth/revision/diff/Wavelet/3 | # The Azimuth Project Wavelet (Rev #3, changes)
Showing changes from revision #2 to #3: Added | Removed | Changed
# Contents
## Idea
This page is about wavelets that constitute a further development of central ideas of the Fourier transform. Wavelets are important in numerical mathematics, statistical analysis and ... | 2020-08-09 05:16:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 32, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://artofproblemsolving.com/wiki/index.php?title=Sophie_Germain_Identity&diff=prev&oldid=70114 | # Difference between revisions of "Sophie Germain Identity"
The Sophie Germain Identity states that:
$a^4 + 4b^4 = (a^2 + 2b^2 + 2ab)(a^2 + 2b^2 - 2ab)$
One can prove this identity simply by multiplying out the right side and verifying that it equals the left. To derive the factoring, first completing the square and... | 2021-12-01 15:50:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/how-they-got-this-identity.161279/ | # How they got this Identity
## Homework Statement
If dU=TdS-PdV then
(dS/dV)T=(dP/dT)V
the T and V at the end means that T and V are constant
How did they get this identity? It came from a thermodynamics hence for their notations.
I have tried ways like rearranging but it dosen't seem to work. I think it has somet... | 2021-04-18 18:33:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.coursehero.com/file/49843346/math4364-HW6-2019F-solpdf/ | math4364-HW6-2019F-sol - Homework 6 due on Oct 21 2019 1 For the given function f(x = cos(x let x0 = 0 x1 = 0.25 and x2 = 0.5 Construct
# math4364-HW6-2019F-sol - Homework 6 due on Oct 21 2019...
• Homework Help
• 4
• 100% (4) 4 out of 4 people found this document helpful
This preview shows page 1 - 2 out of 4 pages... | 2021-07-27 10:06:44 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathematica.stackexchange.com/questions/156196/annulus-from-geodisks-drawing-a-ring-on-a-map | # Annulus from GeoDisks: drawing a ring on a map
Good afternoon! I am trying to draw a shaded ring on a map.
The first step I tried was a simple disk. I achieved this with the following:
GeoGraphics[GeoDisk[Here, Quantity[10,"Miles"]]]
This uses a single GeoDisk. I thought I could use a RegionDifference to get an ... | 2021-10-17 19:49:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/327221/estimating-the-probability-to-have-already-been-seen | # Estimating the probability to have already been seen
Considering a discrete variable $X$ with unknown distribution and having values in an unknown finite set, and a sample of $n$ independent observations of $X$, I want to estimate the probability that a new independent observation already belongs to the sample.
Mor... | 2022-08-14 16:47:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tmtoolkit.readthedocs.io/en/latest/ | # tmtookit: Text mining and topic modeling toolkit¶
tmtoolkit is a set of tools for text mining and topic modeling with Python developed especially for the use in the social sciences. It aims for easy installation, extensive documentation and a clear programming interface while offering good performance on large datas... | 2020-02-17 18:13:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Category:Complex_Modulus | # Category:Complex Modulus
This category contains results about Complex Modulus.
Definitions specific to this category can be found in Definitions/Complex Modulus.
Let $z = a + i b$ be a complex number, where $a, b \in \R$.
Then the (complex) modulus of $z$ is written $\cmod z$ and is defined as the square root of t... | 2022-09-30 21:52:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:07003726 | # zbMATH — the first resource for mathematics
A survey on signature-based algorithms for computing Gröbner bases. (English) Zbl 1412.68306
Summary: In [Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal. Innsbruck: Universität Innsbruck (PhD Thesis) (1965)] ... | 2021-06-25 00:58:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/799304/is-expectation-countably-additive | # Is expectation countably additive?
I am supposed to prove that
Let $X \ge 0$ be a random variable defined on $(\Omega, \mathcal{A}, > P)$ and $\mathbb{E}[X] = 1$. Define $Q: \mathcal{A} \to \mathbb{R}$ by $Q(A) = \mathbb{E}[X1_{A_n}]$. Show that Q is a probability measure on $(\Omega, \mathcal{A})$
Of course $Q(\O... | 2019-05-21 14:50:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mtex-toolbox.github.io/GrainReconstruction.html | Grain Reconstruction edit page
By grain reconstruction we mean the subdivision of the specimen, or more precisely the measured surface of the specimen, into regions of similar orientation which we then call grains. Note that there is no canonical definition of what is a grain. The grain reconstruction method that is d... | 2023-02-01 13:14:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://chrisfmathsphysicsmusic.blogspot.com/2015/09/ | ## Saturday, 26 September 2015
### The Bell State a defence of naivety
In this post I wish to defend a naive interpretation of the Bell State against some of the more wilder claims made for it in the literature
The Bell state (for those who have been asleep for the past 40 years) applies to a pair of particles emit... | 2018-03-21 05:06:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2179803/ring-with-fracn12-squares | # Ring with $\frac{n+1}{2}$ squares
Let $R$ be a ring with $n=|R|\geq3$ elements, which has $\frac{n+1}{2}$ squares. Prove that $1+1$ is invertible and $R$ is a field.
I thought that if there are $\frac{n+1}{2}$ squares, then $n+1$ is even, which means $n$ is odd.
Let $k$ be the order of $1$. Obviously, $k|n$, hence ... | 2019-09-20 06:06:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/507040/how-to-create-a-continuous-distribution-on-a-b-with-textmean-textmo?noredirect=1 | # How to create a continuous distribution on $[a, b]$ with $\text{mean} = \text{mode} = c$?
I would like to sample from a distribution on a specific domain $$[a, b]$$ with mean $$c$$ where $$a < c < b$$. Ideally, I would also like the mode (i.e. the "peak") of the distribution to be $$c$$ as well.
How to derive this ... | 2021-11-27 11:32:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nrich.maths.org/7039/index?nomenu=1 | Kimberly wants to define $3^{3^3}$ as $(3^3)^3$ but Nermeen thinks that such a stack of powers should be defined as $3^{(3^3)}$ .
Do their definitions lead to the same numerical value? Is the same true if $3$ is replaced with some other number?
How would Kimberly's and Nermeen's definitions most naturally extend to the... | 2018-05-22 15:26:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://share.cocalc.com/share/5d54f9d642cd3ef1affd88397ab0db616c17e5e0/www/artin2.tex?viewer=share | Sharedwww / artin2.texOpen in CoCalc
Author: William A. Stein
1% artin.tex
2
3\documentclass{article}
5\newcounter{Pagecount}
6\markboth{}{Buzzard-Stein (\today)}%{Icosahedral Galois representations}
7\title{Mod five approaches to modularity of icosahedral
8 Galois representations}
9\author{Kevin Buzzard and Will... | 2019-12-11 09:34:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.icps2017.in/paper-abstracts.html | # 7th International Conference on Power Systems, 2017 | December 21-23rd, Pune, India
Paper Abstracts - Session Wise
138 Impact of System Parameters and Controller Gain on the Stability of a Multi-terminal DC Grid Lokesh Dewangan and Himanshu Bahirat Abstract: The impact of the system parameters and controller gain ... | 2017-12-18 03:14:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/350004/finding-the-payoff-matrix-of-a-game | # Finding the payoff matrix of a game
A two player zero-sum game can be represented by a $m\times n$ payoff matrix $M$ having $m$ rows and $n$ columns with values in $[0,1]$. The value $M(x,y)$ represent the payoff given to player $1$ [and $1-M(x,y)$ is the payoff given to Player $2$] when Player $1$ decides to play t... | 2021-02-27 07:24:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://elektrowaermekreativ.de/independent-practice-lesson-2-powers-and-exponents-answer-key.html | S Negative Exponents 47 12. Then evaluate each expression. In this division worksheet, students divide by monomials containing positive and negative coefficients, exponents, and one to two variables. 33 ! 3 ! 3 ! 3 4 5. Algebra 1 2. ) and then put them in small groups of no more than 3 to do the rest. Unit 5 Lesson #1 ... | 2021-10-24 05:37:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://labs.tib.eu/arxiv/?author=M.%20Schaal | • ### Development of the Model of Galactic Interstellar Emission for Standard Point-Source Analysis of Fermi Large Area Telescope Data(1602.07246)
Feb. 23, 2016 astro-ph.HE
Most of the celestial gamma rays detected by the Large Area Telescope (LAT) aboard the Fermi Gamma-ray Space Telescope originate from the interste... | 2020-12-04 00:07:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://turbomachinery.asmedigitalcollection.asme.org/mechanismsrobotics/article/13/3/031005/1098040/Stability-Region-Based-Analysis-of-Walking-and | ## Abstract
To achieve walking and push recovery successfully, a biped robot must be able to determine if it can maintain its current contact configuration or transition into another one without falling. In this study, the ability of a humanoid robot to maintain single support (SS) or double support (DS) contact and t... | 2023-03-30 15:11:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 61, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://quantumfrontiers.com/ | Doctrine of the (measurement) mean
Don’t invite me to dinner the night before an academic year begins.
You’ll find me in an armchair or sitting on my bed, laptop on my lap, journaling. I initiated the tradition the night before beginning college. I take stock of the past year, my present state, and hopes for the comi... | 2018-10-16 11:08:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 141, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://math.stackexchange.com/questions/614958/matrix-of-a-bilinear-form-a-b-trab | Matrix of a bilinear form <A,B> = tr(AB)
In revision for an upcoming exam, I've come across the following question: Let the bilinear form (A,B) be defined as tr(AB) on the space of 2x2 real matrices. Find an orthogonal basis for the form.
I know that when working with vectors, with (x,y) = (xt)Ay that I find the matr... | 2021-03-06 14:09:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/is-this-inequality-true.589104/ | # Is this inequality true ?
Is this inequality true ??
$0\leq \sum_{k=0}^{n} \frac{1}{(k+1)^2 (n-k+1)} \leq \frac{1}{\sqrt{n+1}}$ for all natural numbers n
Is it true ??
Thanks
disregardthat
Can you write $$\frac{1}{(k+1)^2(n-k+1)}$$ differently? You want something on the form $$\frac{a}{k+1} + \frac{bk+c}{(k+1)^2... | 2021-01-26 05:52:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://blog.martinfenner.org/2013/12/11/what-can-article-level-metrics-do-for-you/ | Article-level metrics (ALMs) provide a wide range of metrics about the uptake of an individual journal article by the scientific community after publication. They include citations, usage statistics, discussions in online comments and social media, social bookmarking, and recommendations. In this essay, we describe why... | 2017-05-23 08:40:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.kasimte.com/2019/11/10/examining-the-loss-calculation-from-a-deep-q-network.html | I finally got around to reading Playing Atari with Deep Reinforcement Learning, a well cited paper from a few years back where DeepMind trained a neural network to play several Atari games.
Digging into RL and OpenAI’s gym, I kept on seeing references to it and it seemed like only a matter of time until I would have t... | 2021-11-30 00:19:03 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://statisticsinseattle.blogspot.com/2013/ | Tuesday, August 20, 2013
Weak Learners
Tonight's session of R bore just enough fruit that I finally am writing my sophomore entry. I was browsing the slides from a machine learning lecture given by Leo Breiman and came across a relatively simple example he used to introduce the notions of weak and strong learners en ... | 2017-08-20 00:03:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mechani.se/rtos/public/lecture5.html | # Real-Time Operating Systems
08:15-10:00 Tuesday, September 12th, 2017
Scheduling Algorithms.
§2.4-2.7 (pg 149-173)
OverviewRealtime
Batch AlgorithmsLinux Implementation
Interactive AlgorithmsClassic IPC Problems
# 1. Introduction to Scheduling
• We've seen the primitives programmers use for multi-processing.
• ... | 2018-04-23 11:42:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/64039/can-nfas-determinization-be-efficient-given-that-the-statespace-is-exponential | # Can NFAs determinization be efficient given that the statespace is exponential?
I have recently learned about using powerset construction for conversion of NFA to DFA - however this only seems to be feasible when the number of states we are working with are 3 or less, as $2^k$ seems to grow unmanageable very quickly... | 2021-02-27 22:31:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://dommelen.net/quantum2/style_a/nt_cgct.html | ### D.66 How to make Clebsch-Gordan tables
The procedure of finding the Clebsch-Gordan coefficients for the combination of any two spin ladders is exactly the same as for electron ones, so it is simple enough to program.
To further simplify things, it turns out that the coefficients are all square roots of rational n... | 2017-05-23 20:35:59 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathoverflow.net/questions/325543/equivalence-of-definitions-of-cohen-macaulay-type | # Equivalence of definitions of Cohen-Macaulay type
I know that the Cohen-Macaulay type has these two definitions:
• Let $$(R,\mathfrak{m},k)$$ be a Cohen-Macaulay (noetherian) local ring and $$M$$ a finite $$R$$-module of depth $$t$$. The number $$r(M) = \dim_k \mathrm{Ext}_R^t(k,M)$$ is called the Cohen-Macaulay ty... | 2021-03-06 08:09:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemteam.info/Radioactivity/Writing-Nuclear-Reactions-examples15.html | ### Writing Nuclear ReactionsFifteen Examples
These fifteen examples alternate between the heavier elements and elements taken (more-or-less) from the middle of the periodic table. The five-element file uses elements from the heavy end of the periodic table while the ten-example file uses mostly light elements.
As al... | 2021-06-25 13:33:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 59, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.mathsci.ai/publication/acdukomo10/ | # Scalable Tensor Factorizations with Missing Data
### Abstract
The problem of missing data is ubiquitous in domains such as biomedical signal processing, network traffic analysis, bibliometrics, social network analysis, chemometrics, computer vision, and communication networks—all domains in which data collection is... | 2023-03-30 15:27:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.acmicpc.net/problem/16111 | 시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB202225.000%
## 문제
The movie The Last Casino is about a professor who exploits probabilities to beat the casino and win often at blackjack. This has terrified Lucy, the owner of the new casino in town, The Little Epsilon (TLE), so she has banned blackjack in her casino.
To bring pe... | 2021-12-06 02:10:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nypost.com/2007/05/22/sweet-music-2/ | Tech
Sweet music
Nothing made me happier than seeing Warrant’s “Cherry Pie” as a song in Guitar Hero II.
But now, I am like, gasping with anticipation over the songs that will be included in the next game in the franchise, “Guitar Hero Encore: Rocks the 80s.”
Examples of what’s to come…
18 and Life (as made famous... | 2023-03-25 12:31:18 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://datascience.stackexchange.com/questions/61905/training-a-sound-localization-neural-network | # Training a sound localization neural network
I am trying to train a neural network, to estimate the location (in degrees from 0 to 180) a sound is coming from.
I am using tensorflow keras in python to train the model.
The input data are two binaural cues, specifically the ILD (Interaural Level Difference) and the ... | 2020-01-22 09:21:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.techwhiff.com/learn/question-1-kim-lee-is-trying-to-decide-whether/282240 | # Question 1: Kim Lee is trying to decide whether she can afford a loan she needs...
###### Question:
Question 1:
Kim Lee is trying to decide whether she can afford a loan she needs in order to go to chiropractic school. Right now Kim is living at home and works in a shoe store, earning a gross income of $820 per mo... | 2023-02-04 22:54:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.chapman.edu/cgi-bin/structures?action=history;id=Dedekind_domains | Mathematical Structures: History of Dedekind domains
# History of Dedekind domains
Revision 2 . . July 10, 2004 12:47 pm by Jipsen Revision 1 . . July 8, 2004 1:49 pm by Jipsen
Difference (from prior major revision) (no other diffs)
Changed: 28,29c28,29
A ... is a structure $\mathbf{A}=\langle A,...\rangle$ of ty... | 2013-06-18 05:39:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://dict.cnki.net/h_2038807000.html | 全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
模糊关联滤子 的翻译结果: 查询用时：0.232秒
在分类学科中查询 所有学科 数学 更多类别查询
历史查询
模糊关联滤子
fuzzy implicative filter
3.Proposed the notion of n-fold fuzzy implicative filter, then studied its propositions. 3.提出了n-重模糊关联滤子的概念,研究了它的性质,讨论了它与模糊滤子和n-重关联滤子之间的关系,以及对不同的自然数n,n-重模糊关联滤子之间的关系。 短句来源 The relations among fuzz... | 2020-04-06 13:04:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1774968/how-to-find-the-minimum-value-of-following-integral | # How to find the minimum value of following integral?
Let $A$ be the set of twice differentiable functions on the interval $[0,1]$, and
$$B=\{f \varepsilon A: f(0)=f(1)=0, f'(0)=2\}.$$
What is
$${\rm Min}_{f\varepsilon B}\int_{0}^{1} (f''(x))^2 dx~?$$
Now I apply Euler-Lagrange equation to evaluate this but for t... | 2019-11-12 11:02:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1338392/integral-of-a-nonnegative-lebesgue-measurable-function-on-0-1 | # Integral of a nonnegative Lebesgue-measurable function on $[0,1]$.
Let $f$ be a nonnegative Lebesgue-measurable function on $[0,1]$. Suppose that $f$ is bounded above by $1$ and that $\displaystyle \int_{[0,1]} f = 1$.
Problem. Show that $f(x) = 1$ almost everywhere on $[0,1]$.
I don’t know how to start. Would it ... | 2019-12-10 08:19:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Joint_entropy | # Joint entropy
Individual (H(X),H(Y)), joint (H(X,Y)), and conditional entropies for a pair of correlated subsystems X,Y with mutual information I(X; Y).
Joint entropy is a measure of the uncertainty associated with a set of variables.
## Definition
The joint Shannon entropy of two variables $X$ and $Y$ is defined... | 2014-09-17 17:35:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 25, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://thephysicist.in/category/series/combined-em-field/ | # Combined EM Field
## Combined E&M fields – Tutorial
This tutorial is based on the previous lecture post. It is recommended that you go through the lecture post before continuing with the tutorial. Question: A uniform electric field of strength \$E\$ acts parallel to the positive Y-axis. A uniform magnetic field of ... | 2023-01-28 11:07:11 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.nag.com/numeric/mb/nagdoc_mb/manual_25_1/html/f08/f08xsf.html | Integer type: int32 int64 nag_int show int32 show int32 show int64 show int64 show nag_int show nag_int
PDF version (NAG web site, 64-bit version, 64-bit version)
Chapter Contents
Chapter Introduction
NAG Toolbox
# NAG Toolbox: nag_lapack_zhgeqz (f08xs)
## Purpose
nag_lapack_zhgeqz (f08xs) implements the $... | 2022-08-15 16:45:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 231, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://socratic.org/questions/a-gas-originally-at-a-temperature-of-23-13c-what-temperature-must-it-be-heated-t | # A gas originally at a temperature of 23.13C. What temperature must it be heated to triple its volume with constant pressure? Answer in celsius units
May 11, 2018
Recall the relationship between those parameters,
$P V = n R T$
$\implies {V}_{1} / {T}_{1} = \frac{n R}{P} = {V}_{2} / {T}_{2}$
$\implies {V}_{1} / {T... | 2019-08-21 04:54:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ir.cwi.nl/pub/20671 | It is shown that for every $p\in (1,\infty)$ there exists a Banach space $X$ of finite cotype such that the projective tensor product $\ell_p\tp X$ fails to have finite cotype. More generally, if $p_1,p_2,p_3\in (1,\infty)$ satisfy $\frac{1}{p_1}+\frac{1}{p_2}+\frac{1}{p_3}\le 1$ then $\ell_{p_1}\tp\ell_{p_2}\tp\ell_{p... | 2021-01-19 14:20:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://yucoding.blogspot.com/2013/08/leetcode-question-132-palindrome.html | ### leetcode Question 132: Palindrome Partitioning
Palindrome Partitioning
Given a string s, partition s such that every substring of the partition is a palindrome.
Return all possible palindrome partitioning of s.
For example, given s = "aab",
Return
[
["aa","b"],
["a","a","b"]
]
Analysis:
When face the "return a... | 2018-01-20 23:10:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/385827/chromadepth-glasses | I am making some 3D graphics in POV-Ray that are meant to be viewed using Chromadepth 3D glasses. These glasses make blue objects in a drawing look distant, and red objects look like they're close to the viewer. All other hues lie in between the minimum and maximum according to their place in the spectrum. (E.g. green ... | 2019-10-15 11:14:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ask.sagemath.org/answers/33904/revisions/ | The TSP solver assumes you have weighted edges already. See that documentation for ways to either add edges one by one, or you can separately use add_edge_label. In any case, you'll have to probably take your matrix and programmatically use those values to set the edge labels. Probably by going through the columns, and... | 2018-10-19 22:18:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/341602/weyls-theorem-and-representations | # Weyl's theorem and Representations
Let $$L$$ be a semisimple Lie algebra and let $$(V,\varphi)$$ be a finite-dimensional $$L$$-module representation. Our main goal is to prove that $$\varphi$$ is completely reducible. Consider an $$L$$-submodule of $$V$$ of codimension one, let $$0 \longrightarrow W \longrightarrow ... | 2022-08-20 04:40:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://log.fundamental-code.com/2017/09/02/total-variation-denoising.html | Working with data is an important part of my day-to-day work. No matter if it’s speech, music, images, brain waves, or some other stream of data there’s plenty of it and there’s always some quality issue associated with working with the data. In this post I’m interested in providing an introduction to one technique whi... | 2019-04-19 08:21:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/charge-and-uncertainty.402331/ | Charge and uncertainty
1. computerphys
88
I would like to know if the electric charge of a particle, like electron, has always a definite value, or on the contrary the Heisenberg uncertainty principle should be applied to this magnitude.
Or asking that in another way, what is the observable operator associated to th... | 2015-09-02 02:37:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blogs.warwick.ac.uk/caa4s/tag/latex/ | # All 1 entries tagged LaTeX
View all 10 entries tagged LaTeX on Warwick Blogs | View entries tagged LaTeX at Technorati | There are no images tagged LaTeX on this blog
## November 11, 2005
### No End of Right Answers
Writing about Equations in blogs from Blogbuilder news
Thanks to the new LaTeX option in Warwick ... | 2021-02-25 05:54:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://arxiver.moonhats.com/category/high-energy-astrophysical-phenomena/page/2/ | Study of Magnetized accretion flow with cooling processes [HEAP]
We have studied shock in magnetized accretion flow/funnel flow in case of neutron star with bremsstrahlung cooling and cyclotron cooling. All accretion solutions terminate with a shock close to the neutron star surface, but at some region of the paramete... | 2018-02-21 01:00:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/111153-matrix-canonical-form-print.html | # matrix canonical form
• October 29th 2009, 03:54 AM
charikaar
matrix canonical form
let A= $\begin{bmatrix}6 & 3 \\ 1 & 6\end{bmatrix}$
be a matrix over the field
K = F_11(the field of integers mod p). What is the rank of A, and what is its canonical form for equivalence? Briefly justify your answer.
Rank of A is ... | 2015-07-07 18:22:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/authors/?q=ai%3Ariahi.lotfi | # zbMATH — the first resource for mathematics
## Riahi, Lotfi
Compute Distance To:
Author ID: riahi.lotfi Published as: Riahi, Lotfi
Documents Indexed: 19 Publications since 2001
#### Co-Authors
14 single-authored 2 Ifra, Abdoul 2 Mâatoug, Lamia 1 Gouaid, Badreddine
all top 5
#### Serials
3 Potential Analysis... | 2021-11-28 17:02:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/determinant-and-trace-of-matrix-help.462912/ | Determinant and trace of matrix ( HELP)
FInd the determinant of the following matrix?
4,-4,-8
-2, 2, 6
0, 0,-1
Heres my attempt
4.(2x(-1)- 6x0) -(-4).((-2)x(-1) - 6x0) +(-8).((-2)x0-2x0)
which goves:
4.(-2)+4(2) -8 = 0
is this correct??
Im also asked to find the trace? What is this and how do i find it?
Thanks
... | 2021-01-27 17:46:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathcracker.com/confidence-interval-for-the-difference-between-proportions-calculator | # Confidence Interval for the Difference Between Proportions Calculator
Instructions: Use this step-by-step Confidence Interval for the Difference Between Proportions Calculator, by providing the sample data in the form below:
Number of favorable cases 1 $$(X_1)$$ =
Sample Size 1 $$(N_1)$$
Number of favorable cases 2... | 2021-10-28 17:23:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2067118/matrix-product-notation-in-answer | # Matrix product (notation in answer)
Suppose I have a matrix $C=\begin{bmatrix} 1 & 0 \end{bmatrix}$ and a vector $\mathbf{x}=\begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$.
I want to write the matrix product $C\mathbf{x}$, should the answer be vector notation (bold) or not?
I mean vector notation $$\mathbf{y}= C\mathbf... | 2019-08-18 06:41:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crypto.stackexchange.com/tags/des/new | The Stack Overflow podcast is back! Listen to an interview with our new CEO.
# Tag Info
0
the effective key length is different with brute force, vs. meet in the middle attacks. As far as my understanding goes.
29
This is simply saying that if a cryptosystem has a functional composition that is $$h_{k}(x) = f_{k_1... | 2019-10-21 01:23:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/field-extensions-remarks-by-lovett-page-326.914005/ | # Field Extensions - Remarks by Lovett - Page 326 .... ....
Gold Member
MHB
I am reading "Abstract Algebra: Structures and Applications" by Stephen Lovett ...
I am currently focused on Chapter 7: Field Extensions ... ...
I need help with some remarks of Lovett following Theorem 7.1.12 and Example 7.1.13 on page 326 ... | 2023-03-26 08:26:28 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://dmitrybrant.com/1999/04 | A JPEG Viewer for QBasic
This date marks the release of my JPEG decoder written entirely in QuickBasic. It was the first of its kind, released almost concurrently with Petter Holmberg’s own decoder, which initially supported only grayscale JPEG files.
Do not ask what in the world possessed me to do such a thing, but ... | 2013-05-24 03:58:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.quantumforest.com/2012/12/my-r-year/ | End-of-year posts are corny but, what the heck, I think I can let myself delve in to corniness once a year. The following code gives a snapshot of what and how was R for me in 2012.
outside.packages.2012 <- list(used.the.most = c('asreml', 'ggplot2'), largest.use.decline = c('MASS', 'lattice'), same.use = c('MCMCglmm'... | 2013-12-06 10:18:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.albert.io/ie/statistics-and-probability/national-ball-manufacturer-hypothesis-test | Free Version
Moderate
# National Ball Manufacturer Hypothesis Test
STATS-JJBNGC
A national manufacturer of ball bearings is experimenting with two different processes, $A$ and $B$ for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard.
A sample of 9... | 2017-02-26 23:44:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rupress.org/jem/article/218/7/e20201908/212105/A-participant-derived-xenograft-model-of-HIV | HIV-specific CD8+ T cells partially control viral replication and delay disease progression, but they rarely provide lasting protection, largely due to immune escape. Here, we show that engrafting mice with memory CD4+ T cells from HIV+ donors uniquely allows for the in vivo evaluation of autologous T cell responses wh... | 2022-12-01 04:46:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 95, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/pre-calculus/152470-locus-question-2-a.html | 1. ## Locus question #2
Hi again, i have another locus problem, this time:
Find the equation of the locus of a point P(x,y) that moves so that the ratio of PA to PB is 3:2, where A=(-6,5) and B=(3,-1)
2. Originally Posted by moeyfrompunchy
Hi again, i have another locus problem, this time:
Find the equation of the ... | 2016-08-30 13:47:13 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/106013-recusive-definition.html | 1. ## Recusive Definition
I am really confused on how to do recursive definitions. The question is:
n! >= 3^n for every Integer n >=7
The textbook I have really doesn't explain how to solve for it and I am hoping someone can explain how I prove for it. can someone please explain how you solve for these type of equat... | 2018-01-23 12:02:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://qanda.ai/en/solutions/fdxJfUQ5UD | Symbol
Problem
$CR\square ^{C}$ MULTIPLICATIOiv $2x+3y=10$ $3x$ $-$ $y=$ $21$
Other
Solution
Qanda teacher - KAUSHIK DE
Hope I have helped you.
You can verify my answer my substitution or elimination method
I think you can understand the method of cross multiplication that I have done...generally it looks difficult but... | 2021-08-02 11:33:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/authors/?q=ai%3Aglynn.peter-w | ## Glynn, Peter W.
Compute Distance To:
Author ID: glynn.peter-w Published as: Glynn, Peter W.; Glynn, Peter; Glynn, P. W.; Glynn, P. more...less Further Spellings: Glynn, Peter Winston Gunnar Homepage: https://web.stanford.edu/~glynn/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents In... | 2022-08-11 22:56:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://holyoatmeal.com/s878bqj1/medieval-economic-ideas-02843d | Feudalism was still very much intact in the form of serfdom. The road to serfdom is believing the government or power above ill protect you better than you can protect yourself. On March 17, 2015, Brill was informed that the article by Francisco Gomez Camacho S. J., "Later Scholastics: Spanish Economic Thought in the X... | 2021-06-21 21:42:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ptwiddle.github.io/Graph-Theory-Notes/s_graphalgorithms_prufer.html |
## Section3.4Prüfer Codes
This section covers the Prüfer Code, a bijection between labelled trees and certain sequences of integers. This bijection allows us to prove Cayley's theorem, giving a count of such labelled trees.
Given a combinatorial structure, such as a graph or a tree, it is natural to ask how many of ... | 2019-12-06 06:11:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://languagelog.ldc.upenn.edu/nll/?p=47269 | ## Mama Drama
So-called "verbal fluency" is one of the tasks we're using in the first iteration of the SpeechBiomarkers project (and please participate if you haven't done so!). Despite the test's name, it doesn't really measure verbal fluency, but rather asks subjects to name as many words as possible from some categ... | 2021-04-13 09:50:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1183463/if-f-colon-mn-to-nn-is-proper-n-is-connected-and-f-preserves-orienta | # If $f\colon M^n\to N^n$ is proper, $N$ is connected, and $f_*$ preserves orientation at regular points, then $f$ is surjective?
I'm attempting Exercise 8.21 from Spivak's Differential Geometry. It is not for homework or anything. The problem states
Let $f\colon M^n\to N^n$ be a proper map between oriented $n$-manif... | 2019-06-24 18:07:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://doxygen.opengeosys.org/d1/d0b/ogs_file_param__prj__process_variables__process_variable__boundary_conditions__boundary_condition__normaltraction | OGS
[case] NormalTraction
The normal traction boundary condition is a special type of Neumann boundary condition where the given value is applied in the direction of the element's normal vector $$\mathbf{n}$$:
$\bar{t} := \sigma \mathbf{n} = p \mathbf{n},$
where $$p$$ is the value on the boundary given by the parame... | 2021-09-25 12:38:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.impan.pl/cgi-bin/dict?both | ## both
Both $f$ and $g$ are obtained by ...... [Or: $f$ and $g$ are both obtained]
For both $C^{\infty}$ and analytic categories, ......
Here $C$ behaves covariantly with respect to maps of both $X$ and $G$.
We now apply (3) to both sides of (6).
Both conditions $\langle$Both these conditions/Both the conditions$... | 2018-01-22 09:59:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://email.esm.psu.edu/pipermail/macosx-tex/2020-June/057094.html | [OS X TeX] bold italic vector expressions in Plain TeX
Daniel Drucker aa1856 at wayne.edu
Tue Jun 30 14:54:36 EDT 2020
Dear All,
I am using TeXShop 4.44 on a mid-2011 iMac running Mac OS 10.13.6 (High Sierra).
That’s the latest version of the Mac OS that’s compatible with my iMac. I also
have a fairly new MacBook Pr... | 2021-07-28 11:37:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/140654/nakai-moishezon-theorem-for-abelian-varieties | # Nakai-Moishezon theorem for abelian varieties
In Birkenhake and Lange's book, they prove a version of the Nakai-Moishezon theorem for complex abelian varieties that says that if $L_0$ is an ample line bundle on a complex abelian variety $X$ of dimension $g$, then a line bundle $L$ is ample if and only if $(L^\nu\cdo... | 2023-01-30 18:45:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:1104.14013 | # zbMATH — the first resource for mathematics
Existence of $$F$$-crystals with supplementary structures. (Existence de $$F$$-cristaux avec structures supplémentaires.) (French. English summary) Zbl 1104.14013
Let $$k$$ be an algebraically closed field of characteristic $$p$$, let $$W(k)$$ be the Witt vectors over $$k$... | 2021-10-19 03:25:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://labs.tib.eu/arxiv/?author=Javier%20Tiffenberg | • ### SENSEI: First Direct-Detection Constraints on sub-GeV Dark Matter from a Surface Run(1804.00088)
March 30, 2018 hep-ph, hep-ex, astro-ph.CO
The Sub-Electron-Noise Skipper CCD Experimental Instrument (SENSEI) uses the recently developed Skipper-CCD technology to search for electron recoils from the interaction of... | 2019-12-11 03:57:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mlton.org/pipermail/mlton/2003-December/024741.html | # [MLton] Question about Definition of SML :)
Stephen Weeks MLton@mlton.org
Thu, 4 Dec 2003 15:51:13 -0800
> I have just spoken with Fritz Henglein about this. He also agrees
> that
>
> val x = ref nil
>
> violates the value-restriction.
I disagree. Even if that is the entire program. Even if the program
is
val ... | 2017-12-13 13:04:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://asmedigitalcollection.asme.org/electronicpackaging/article/143/4/041104/1119369/Peak-Temperature-Mitigation-of-a-Multimicrochannel | ## Abstract
Microchannel flow boiling has shown great cooling potential with steady-state studies demonstrating the capability to dissipate heat fluxes over 1 kW cm−2. However, most microelectronic devices undergo transient heat loads involving cold startups or pulse-like power operation. Transient heating events in l... | 2022-01-21 10:49:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 4, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wu-kan.cn/2019/12/05/Expectation-Maximization/ | # Expectation Maximization
## Expectation Maximization
### The Gaussian Distribution
The Gaussian, also known as the normal distribution, is a widely used model for the distribution of continuous variables. In the case of a single variable $x$, the Gaussian distribution can be written in the form
$\mathcal N(x\mid ... | 2021-09-26 09:01:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://sportsobjective.com/wordpress/?tag=most-valuable-player-odds | # Posts Tagged most valuable player odds
### NL/AL MVP
Sportsbooks haven’t convened MVP odds yet because I haven’t posted them myself. This is an obvious observation to anybody that visits this blog on a yearly basis. I think we’d all agree on this. (I use the terms “we’d all” and “nobody in particular” interchang... | 2013-05-20 13:43:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/geometry/4137-forces-couple.html | # Math Help - forces/couple
1. ## forces/couple
particle of mass m kilograms is acted on by two forces F[1] and F[2] with magnitudes 3*sqr-root 5 newtons and sqr-root 5 newtons and directions parallel to the vectors i+2j and i-2j respectively.
The particle is initially at a position given by the vector 2i+j
i was to... | 2014-08-23 16:25:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |