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https://web2.0calc.com/questions/number-theory_36367 | +0
# Number Theory
0
100
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If $3x+7 \equiv 11$ (mod $16$), then 2x+11 is congruent (mod 16) to what integer between 0 and 15, inclusive?
Jul 11, 2021
#1
+26213
+1
If $$3x+7 \equiv 11 \pmod{16}$$,
then 2x+11 is congruent $$\pmod{16}$$ to what integer between 0 and 15, inclusive?
$$\begin{array}{|rcll|} \hline 3x+... | {"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://motls.blogspot.com/2014/03/schoolkids-are-more-indoctrinated-than.html | ## Thursday, March 20, 2014 ... /////
### Schoolkids are more indoctrinated than during late communism
A report by Václav Klaus, quick translation by L.M.
Summary of the fifth Dialogues at Hanspaulka
Is the degree of indoctrination at our schools higher or lower than during late communism?
On Wednesday 19th, the ha... | {"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://en.wikipedia.org/wiki/Polynomial_equation | # Algebraic equation
(Redirected from Polynomial equation)
In mathematics, an algebraic equation or polynomial equation is an equation of the form
${\displaystyle P=Q}$
where P and Q are polynomials with coefficients in some field, often the field of the rational numbers. For most authors, an algebraic equation is ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 10, "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://math.stackexchange.com/questions/306995/non-induction-proof-of-2-sqrtn1-2-sum-k-1n-frac1-sqrtk2-sqrt | # Non-induction proof of $2\sqrt{n+1}-2<\sum_{k=1}^{n}{\frac{1}{\sqrt{k}}}<2\sqrt{n}-1$
Prove that $$2\sqrt{n+1}-2<\sum_{k=1}^{n}{\frac{1}{\sqrt{k}}}<2\sqrt{n}-1.$$
After playing around with the sum, I couldn't get anywhere so I proved inequalities by induction. I'm however interested in solutions that don't use indu... | {"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://eprint.iacr.org/2020/304 | Multiparty Homomorphic Encryption from Ring-Learning-With-Errors
Christian Mouchet, Juan Troncoso-Pastoriza, Jean-Philippe Bossuat, and Jean-Pierre Hubaux
Abstract
We propose and evaluate a secure-multiparty-computation (MPC) solution in the semi-honest model with dishonest majority that is based on multiparty homom... | {"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://cstheory.stackexchange.com/questions/5826/a-data-structure-for-partial-sequences | # a data structure for partial sequences
We have a set of bit sequences of length $L$ with only $K$ known bits and $L-K$ gaps. We want to store them in a data structure in a way that given a new bit sequence $x$ of length $L$, with $L$ known bits, we can efficiently search and retrieve the elements in the data structu... | {"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://arthur.van-dam.net/twiki/bin/view/Arthur/ScientificWriting | Web Changes News Index Search More Topic Edit Printable Raw form Diffs Ref-By Attach Rename More
Arthur van Dam, Ph.D.
## Misc
Arthur.ScientificWritingr1.15 - 31 Jan 2006 - 21:55 - ArthurVanDamtopic end
# Scientific Writing
Of course...
### Useful packages/commands/scripts
#### Theme uubeamer
A latex-beamer the... | {"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.stackexchange.com/questions/222830/question-on-how-to-decrypt-the-message | # question on how to decrypt the message
A message is encrypted using an affine cryptosystem in which plaintext uses the 26 letters A through Z (all blanks are omitted), the letters are identified with the residue classes of integers (mod 26) in the natural way, and the encryption and decryption functions are defined ... | {"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://mathhelpforum.com/pre-calculus/170583-help-needed-finding-x-intercept.html | # Math Help - Help needed finding the X intercept
1. ## Help needed finding the X intercept
i need to find the x intercept of the below formula can anyone help and possibly show me how its worked out ? i've spent hours attempting and failing now and its driving me nuts!
f(x)= x^2 + 3x / 2x^2 +6x + 4
thanks
2. $f(x... | {"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... |
https://ora.ouls.ox.ac.uk/objects/uuid:44de260b-4255-4644-8b0a-be791971095c | Journal article
### Refined approximation for minimizers of a Landau-de Gennes energy functional
Abstract:
We study minimizers of a Landau-de Gennes energy functional in the asymptotic regime of small dimensionless elastic constant L > 0. The results on the convergence to a minimizer of the limit Oseen-Frank function... | {"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://officecommunity.com/pdf_fusion/f/troubleshooting/15905/save-as-corrupts-pdf-file/24025 | # Save As corrupts pdf file
Installed a trial of PDF Fusion a day or two ago. This is my first use.
The file is a pdf I downloaded. http://www.health.gov.bc.ca/library/publications/year/2013/MyVoice-AdvanceCarePlanningGuide.pdf
It displays OK in Adobe Reader and loads and is displayed correctly in PDF Fusion.
I Sav... | {"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://arcsecond.wordpress.com/tag/video/ | ## Posts Tagged ‘video’
### The Stroop Test, Revisited
December 24, 2009
Making these videos is way easier than doing my chores.
### Let’s Read the Internet! week 6
November 24, 2008
Becoming Screen Literate
Kevin Kelly in The New York Times
I am not screen-literate. My first reaction to this article was to thin... | {"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": 1, "mimetex.cgi": 0, "/images/mat... |
http://www.whitman.edu/mathematics/SeniorProjectArchive/2012/ | ## Senior Project Archive 2012
The 2012 Senior Project Archive, titles are hyperlinked to pdf copies of the final project write-up. Course coordinator: Barry Balof
• TITLE: FROM POSETS TO DERANGEMENTS: AN EXPLORATION OF THE MÖBIUS INVERSION FORMULA
AUTHOR: Allison Beemer
ABSTRACT: This paper works through an indepen... | {"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://repo.scoap3.org/record/31369 | # Search for Narrow $H\gamma$ Resonances in Proton-Proton Collisions at $\sqrt{s}=13\text{}\text{}\mathrm{TeV}$
01 March 2019
Abstract: A search for heavy, narrow resonances decaying to a Higgs boson and a photon ($H\gamma$) has been performed in proton-proton collision data at a center-of-mass energy of 13 TeV, corr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 7, "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://math.stackexchange.com/questions?page=4&sort=active | All Questions
8 views
Limits of the derangements proportion within the permutations of the set $[1,n]$
Let be $D_n$ the number of derangements of a set of $n$ elements, by convention we have $D_0=1$ Ifound that $D_n=n!\sum\limits_{k=0}^{n}\frac{(-1)^k}{k!}$ For all $n\in \mathbb{N*}$, we write ...
9 views
Is it alw... | {"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/1422972/total-number-of-possible-binary-operations | # Total number of possible binary operations .
If there are n elements in a set the number of binary operations that can be defined are 2n, am I right or wrong ?
If the definition of "operation" is any function $\oplus \colon A \times A \to A$ without any further restrictions, there are $n^2$ values of the function a... | {"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://answers.opencv.org/question/235933/get-the-contour-outline-findcontours-from-a-png-image-with-the-correct-edges/ | # Get the contour (outline) findContours from a png image with the correct edges edit
I asked this question stackoverflow But this is a better place I hope.
I have multiple png files and I'm trying to get the polygon contour coordinates. That is the simplified coordinates, only each outer corner (not a convex hull po... | {"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://converter.ninja/time/minutes-to-months/567-min-to-mo/ | # 567 minutes in months
## Conversion
567 minutes is equivalent to 0.0129366212769766 months.[1]
## Conversion formula How to convert 567 minutes to months?
We know (by definition) that: $1\mathrm{min}\approx 2.2815911e-05\mathrm{mo}$
We can set up a proportion to solve for the number of months.
$1 min 567 mi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "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://stacks.math.columbia.edu/tag/020B | ## 33.2 Notation
Throughout this chapter we use the letter $k$ to denote the ground field.
In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar). | {"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://dev.arxiv.org/list/math/9601?skip=50&show=25 | This is a test server. The contents of this server may not reflect the true contents of arXiv.org. Submissions made to this server will not become part of arXiv.org
# Mathematics
## Authors and titles for Jan 1996, skipping first 50
[ total of 101 entries: 1-25 | 26-50 | 51-75 | 76-100 | 101 ]
[ showing 25 entries p... | {"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://measureofdoubt.com/ | ## Finding Pi From Random Numbers
If I gave you 10,000 random numbers between 0 and 1, how precisely could you estimate pi? It’s Pi Approximation Day (22/7 in the European format), which seems like the perfect time to share some math!
When we’re modeling something complex and either can’t or don’t want to bother to f... | {"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": 6, "mimetex.cgi": 0, "/images/mat... |
https://prosjektbanken.forskningsradet.no/en/project/FORISS/338779?Kilde=FORISS&distribution=Ar&chart=bar&calcType=funding&Sprak=no&sortBy=date&sortOrder=desc&resultCount=30&offset=0&Fag.2=Informasjons-+og+kommunikasjonsvitenskap | Back to search
# PhysML: Structure-based machine learning for physical systems
#### Awarded: NOK 10.8 mill.
Project Number:
338779
Application Type:
Project Period:
2023 - 2027
Organisation:
Location:
The majority of Norwegian industries are still a long way from being able to adopt AI and machine learning me... | {"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://tex.stackexchange.com/questions/79992/fatal-format-file-error-stymied-fmtutil-infinite-recursion | # Fatal format file error; stymied. fmtutil: infinite recursion
I'm using texlive / ConTeXt / Xetex, but I don't know which of those might be relevant to the problem.
The summary is that when I run TeX, I get a "Fatal format file error; I'm stymied" message. Details follow...
I'm running texexec using a Makefile. Th... | {"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://www.d3coder.com/thecity/2010/12/28/ezpm-1-0-now-with-play-by-play-data/ | # ezPM 1.0: Now with Play-By-Play Data!
(Note #1: If you haven't read my introduction to the ezPM model, you might want to do that first and then come back.)
(Note #2: The "1.0" modifier in the title signifies that this model is a work-in-progress, not an end in itself. This is the first version, and as much as I alr... | {"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": 28, "mimetex.cgi": 0, "/images/ma... |
https://www.allanswered.com/post/731/peter-mccullagh-asymptotic-inference-for-sparse-priors/ | ### Peter McCullagh - Asymptotic inference for sparse priors
286
views
0
13 months ago by
Saturday 1st October 1:40-2:10pm
McCullagh Slides
Community: WHOA-PSI 2016
Peter I think I see the need for the small \nu approach to sparsity, independent of n. But what exactly are the implications for inference? And is it ... | {"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://pysynphot.readthedocs.io/en/latest/observation.html | # Observation¶
`Observation` is a special type of Source Spectrum, where the source is convolved with a Bandpass, both which are stored in its `spectrum` and `bandpass` class attributes, respectively.
It also has two different datasets:
• `wave` and `flux`, as defined by the native wavelength set, which is construct... | {"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://en.cppreference.com/w/c/string/byte/isprint | # isprint
< c | string | byte
C
Language Headers Type support Program utilities Variadic function support Error handling Dynamic memory management Date and time utilities Strings library Algorithms Numerics Input/output support Localization support Atomic operations (C11) Thread support (C11) Technical Specificati... | {"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.stackexchange.com/questions/249530/using-lagrange-multipliers-for-restricted-extrema/249652 | # Using Lagrange multipliers for restricted extrema
Consider the function $f(x,y) = x^2 + xy + y^2$ defined on the unit disc $D = \{(x,y) \mid x^2 + y^2 \leq 1\}$.
I can not simplify the equations to the point where I find a constant for the lagrange multiplier and thus can't find the points of the extrema. I used th... | {"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://math.stackexchange.com/tags/logic/new | # Tag Info
0
Your doubts can be explained by the following theorem: $$\left(A\Leftrightarrow B\right) \Rightarrow \left(A\Rightarrow B\right)$$ Same holds for the other direction, of course. Practically spoken, this means that if two statements are equivalent, it is not a false statement to use an implication there. ... | {"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://mathoverflow.net/questions/75646/duals-of-lindenbaum-algebras/75654 | # “Duals” of Lindenbaum algebras
From Wikipedia I learn:
The Lindenbaum algebra A of a theory T consists of the equivalence classes of sentences of T. The operations in A are inherited from those in T.
If there are disjunction, conjunction and negation, A is a Boolean algebra and can be seen as a poset:
The objects... | {"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/PSLE | Primary School Leaving Examination
(Redirected from PSLE)
The Primary School Leaving Examination (PSLE) is a national examination in Singapore administered by the Ministry of Education and taken by all students near the end of their sixth year in primary school before they move on to secondary school. This examinatio... | {"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": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://worldsworstsportsblog.com/tag/chow-test/ | ## Did Run Production Change in 2010?June 2, 2011
Posted by tomflesher in Baseball, Economics.
Tags: , ,
Part of the narrative of last year’s season was the compelling “Year of the Pitcher” storyline prompted by an unusual number of no-hitters and perfect games. Though it’s too early in the season to say the same thi... | {"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": 22, "mimetex.cgi": 0, "/images/ma... |
http://exampleproblems.com/wiki/index.php/Laplace_operator | # Laplace operator
In mathematics and physics, the Laplace operator or Laplacian, denoted by Δ, is a differential operator, specifically an important case of an elliptic operator, with many applications in mathematics and physics. In physics, it is used in modeling of wave propagation and heat flow, forming the Helmho... | {"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": 38, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://email.esm.psu.edu/pipermail/macosx-tex/2004-June/006250.html | # [OS X TeX] memoir class, Table questions, position of floats, line numbering
Maarten Sneep maarten.sneep at xs4all.nl
Fri Jun 11 04:37:37 EDT 2004
On 11 jun 2004, at 4:09, Denis Chabot wrote:
> One first question that comes to my mind is: why does the sample
> document use the memoir class, which is not described ... | {"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.nature.com/articles/s41467-019-08609-z?error=cookies_not_supported | ## Introduction
Human transthyretin (TTR) is a 55 kDa homotetrameric protein that transports thyroxine (T4) and retinol-binding protein (RBP) in the serum and cerebrospinal fluid (Fig. 1a–c). Wild-type (WT) TTR is intrinsically amyloidogenic, and causes amyloid fibril formation in elderly individuals, resulting in sen... | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/459129/finding-all-solutions-to-an-inequality-equation | Finding all solutions to an inequality equation
I have the following inequality that I need to find all solutions of:
$2x^3-8x > 5x^2-20$
My guess is that you would have to turn this into a polynomial equation and let the right hand side equal to $0$ (i.e. $2x^3-5x^2-8x+20=0$). By using the factor theorem you could ... | {"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://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/dee2.html | SEARCH HOME
Math Central Quandaries & Queries
Question from Dee, a student: I have a few questions that im have trouble working out... 1. One number is three times another number; if each is increased by 1 the sum of the reciprocals is 10/21. Find the numbers 2.A tank can be filled by 2 pipes together in 6 hours; if ... | {"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://zenodo.org/record/1210217/export/xd | Dataset Open Access
# The "social brain" is highly sensitive to the mere presence of social information: An automated meta-analysis and an independent study
Ivy F. Tso1,2*, Saige E. Rutherford1, Yu Fang1, Mike Angstadt1, & Stephan F. Taylor1,2
### Dublin Core Export
<?xml version='1.0' encoding='utf-8'?>
<oai_dc:dc... | {"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://web.stanford.edu/~ymkhan/teaching/2017_spring_ee_16a/ | The EECS 16 series (Designing Information Devices and Systems) is a pair of freshman-level courses introducing students to EECS, with a particular emphasis on how we deal with systems interacting with the world from an information point of view. Mathematical modeling is an important theme throughout these courses, and ... | {"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.physicsoverflow.org/9350/blochs-theorem-and-blochs-state | Bloch's theorem and Bloch's state
+ 1 like - 0 dislike
219 views
The question is not so much about the theorem, but more about what it means in this context: see this link.
So yes, because of Bloch's theorem the Hamiltonian eigenstates in a crystalline system can be written as \begin{align} \psi_{n,\vec{k}}(\vec{r})... | {"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://arxiv.org/abs/1712.01701 | cond-mat.str-el
(what is this?)
# Title: Dynamical properties of the $S=1/2$ random Heisenberg chain
Abstract: We use numerical techniques to study dynamical properties at finite temperature ($T$) of the Heisenberg spin chain with random exchange couplings, which realizes the random singlet (RS) fixed point in the l... | {"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://math.stackexchange.com/questions/275709/what-topological-space-do-i-obtain-by-gluing-these-edges/275717 | # What topological space do I obtain by gluing these edges?
I'm gluing the edges of a square together with the caveat that there's a "fold" down the middle. I think this produces sort of a sphere with four "pinches". I'm wondering if my intuition is correct and if someone could provide a more rigorous foundation for w... | {"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/a-ball-rolling-down-a-slope-find-its-velocity.724022/ | # Homework Help: A ball rolling down a slope, find its velocity.
1. Nov 20, 2013
### Milsomonk
Hi guy's, I've got an interesting problem in my coursework, I have to say I am stumped, so here it is.
A hollow sphere of mass 56 grams, starts at rest and is allowed to roll without slipping 2 metres down a slope at an a... | {"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://philpapers.org/s/Chris%20Lambie-Hanson | Works by Chris Lambie-Hanson
13 found
Order:
1. Simultaneous Stationary Reflection and Square Sequences.Yair Hayut & Chris Lambie-Hanson - 2017 - Journal of Mathematical Logic 17 (2):1750010.
We investigate the relationship between weak square principles and simultaneous reflection of stationary sets.
Export citation... | {"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/1993670/constructing-a-circle-given-another-circle-and-three-points | # Constructing a Circle Given Another Circle and Three Points
Given a circle $o$ and distinct points $A, B,S$ outside $o$, how can I construct a circle $o'$ through $A$ and $B$, such that $S$ lies on the line joining the two intersection points of $o$ and $o'$
Any hints,
Thanks
• Are you sure it can be done general... | {"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://motls.blogspot.com/2016/04/brexit-boris-vs-barack-will-obama-join.html | ## Friday, April 22, 2016 ... /////
### Brexit: Boris vs Barack. Will Obama join the EU?
The full text isn't known yet but it's been leaked that Obama will try to intervene into the British June 23rd referendum about the kingdom's departure from the European Union. (The Daily Telegraph honored Obama by offering him s... | {"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... |
http://mathhelpforum.com/advanced-algebra/275165-elements-torsion-n-group-g.html | # Thread: Elements of torsion n of a group G
1. ## Elements of torsion n of a group G
Hello, community! I've been struggling forever with this problem. Let G be abelian and G(n) denote the set of elements g of G such that g^n=e. I'm asked to prove G(n) is a subgroup which is okay, nothing really special about it. How... | {"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/new-users/209651-cant-prove-equation-print.html | # Can't prove this equation
• December 12th 2012, 03:13 AM
wille13
Can't prove this equation
I need help on how to prove that 9^(n+3) + 4^n is divisible by 5. Please help, I have no idea of how to solve this
• December 12th 2012, 03:29 AM
MarkFL
Re: Can't prove this equation
I would use induction, observing that:
$(9... | {"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": 14, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://pure.unipa.it/it/publications/sterilizzazione-con-microonde-di-rifiuti-sanitari-determinazione- | # STERILIZZAZIONE CON MICROONDE DI RIFIUTI SANITARI: DETERMINAZIONE DIRETTA DELL’EFFICACIA DEL PROCESSO
Risultato della ricerca: Articlepeer review
## Abstract
In the sterilization of those Health Care Waste that are marked as possibly infectious, microwaves (MW) have long been proposed as an alternative means to st... | {"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://www.gradesaver.com/the-alchemist-coelho/q-and-a/while-reading-the-novel-what-did-you-predict-incorrectly-what-did-you-correctly-predict-for-instance-what-part-of-the-novel-was-not-surprising-and-what-part-of-the-novel-surprised-you-the-most--299695 | # While reading the novel, what did you predict incorrectly? What did you correctly predict? For instance, what part of the novel was not surprising and what part of the novel surprised you the most?
While reading the novel, what did you predict incorrectly? What did you correctly predict? For instance, what part of t... | {"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://homework.cpm.org/category/ACC/textbook/acc6/chapter/5%20Unit%205/lesson/CC1:%205.1.1/problem/5-5 | ### Home > ACC6 > Chapter 5 Unit 5 > Lesson CC1: 5.1.1 > Problem5-5
5-5.
Draw a rectangle with a width of $8$ units and a length of $6$ units.
1. What is the enlargement ratio if you enlarge the figure to have a width of $16$ units and a length of $12$ units?
• $8(?) = 16$
$6(?) = 12$
1. If you wanted to reduce th... | {"extraction_info": {"found_math": true, "script_math_tex": 13, "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://k1monfared.wordpress.com/2015/10/17/on-convex-bodies/ | On convex bodies
Dmitry Ryabogin from Kent State University gave two talks today here at UCalgray. The first talk was about convex bodies with congruent projections. You can read about it here: PDF. And their recent results here: arXiv. The question asks for two convex bodies $k$ and $L$ in $\mathbb{R}^n$, if orthogon... | {"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": 8, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/does-or-does-0-difference-of-the-empty-set-and-itself.687165/ | # Does ∅-∅=∅ or does ∅-∅=0? Difference of the empty set and itself?
1. Apr 21, 2013
### talknerdytome
I'm having trouble conceptualizing taking the difference between the empty set and itself. There is no element x where x∈∅ and x∉∅, so I'm thinking that it should return ∅ since there are no possible elements.
Is t... | {"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://tug.org/applications/fontinst/mail/tex-fonts/1997/msg00093.html | # dotlessj in 8r fonts
Sebastian Rahtz :
> > > how can I have fontinst believe that the font ptmr8r.mtx
> > > has a raw glyph whose metrics are defined like this
> > preprocess the AFM file? i started looking at this too and
> > gave up after a short while
> >
>
> well yes: me too, whence my question;-) would... | {"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://stillwell.me/~mark/post/harness-software-carpentry-bootcamp-retrospective/ | HARNESS Software Carpentry Bootcamp Retrospective
In July 2015, the HARNESS project hosted a Software Carpentry bootcamp/workshop at the SAP headquarters in Feltham, near London Heathrow. This was an outreach activity with three distinct, but related, objectives: 1) to disseminate HARNESS project outcomes to the resea... | {"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://mathhelpforum.com/calculus/112398-cubic-polynomial.html | 1. ## A cubic Polynomial
Hi,
There is a problem:
For f(x)=(x^3)+(6x^2)-15x+k
The absolute minimum and absolute maximum values on the interval [-10,2] have the same absolute value. Find the value of k.
2. Originally Posted by spred
Hi,
There is a problem:
For f(x)=(x^3)+(6x^2)-15x+k
The absolute minimum and absolute m... | {"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/questions/91994/recognizing-the-4-sphere-and-the-adjan-rabin-theorem?sort=votes | # Recognizing the 4-sphere and the Adjan--Rabin theorem
The problem of recognizing the standard $S^n$ is the following: Given some simplicial complex $M$ with rational vertices representing a closed manifold, can one decide (in finite time) if $M$ is homeomorphic to $S^n$.
For $n=1$, this is obvious, and for $n=2$, o... | {"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://eprints.lancs.ac.uk/id/eprint/68294/ | # Simplicial cohomology of band semigroup algebras
Choi, Yemon and Gourdeau, Frédéric and White, Michael C. (2012) Simplicial cohomology of band semigroup algebras. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 142 (4). pp. 715-744. ISSN 1473-7124
Preview
PDF (S0308210510000648a)
S03082105100... | {"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/359369/should-a-cost-function-in-ml-always-be-written-as-an-average-over-all-training-s | # Should a cost function in ML always be written as an average over all training samples?
I'm building a non-kernelized Support Vector Machine classifier . The problem that I need to solve is:
$$\min_{w} \left(w^{t}w + \sum_{i=0}^{n}\max\left(0, 1-y_i\left(w^{t}x_{i} + b\right)\right)\right)$$
I want to solve this p... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/165317-silly-yet-annoying-porblem-concening-vector-rotation.html | # Math Help - Silly yet annoying porblem concening vector rotation
1. ## Silly yet annoying porblem concening vector rotation
Hi guys,
I wish to find the rotation matrix which rotates a general 3d vector (x,y,z) into a z-axis vector (0,0,z'). z' can of course be computed easily, but I'm interested in the rotation ma... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 64, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://brilliant.org/problems/dare-to-use-newton-sums/ | # Totally Newton
Algebra Level 3
If $$\alpha$$ and $$\beta$$ are the roots of $$x^2+x+1=0$$, then find the value of
$$\alpha^{2015}+\beta^{2015}$$.
× | {"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://rd.springer.com/article/10.1007%2Fs13209-019-0190-z | SERIEs
pp 1–22
# Fewer babies and more robots: economic growth in a new era of demographic and technological changes
• Juan F. Jimeno
Open Access
Original Article
## Abstract
This paper surveys recent research on the macroeconomic implications of demographic and technological changes. Lower fertility and increasin... | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/7085/why-does-electronegativity-increase-across-a-period/52139#52139 | # Why does electronegativity increase across a period?
What explains why electronegativity increases as you move across a period? Does it have something to do with the shielding effect of added electrons?
• Good question. In reality electrons will be revolving around the nucleus in high speed. It is difficult to imag... | {"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://rd.springer.com/chapter/10.1007/978-3-319-00539-3_8 | # Multiple Regression
• S. Sreejesh
• Sanjay Mohapatra
• M. R. Anusree
Chapter
## Abstract
Multiple regression analysis is one of the dependence technique in which the researcher can analyze the relationship between a single-dependent (criterion) variable and several independent variables.
## Keywords
Multiple Reg... | {"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://awesco.eu/authors/ralp-m-kennel/ | # Ralp M Kennel
### Publications in AWESCO
(2017). Power Curve and Design Optimization of Drag Power Kites. Book of Abstracts of the International Airborne Wind Energy Conference (AWEC 2017). | {"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://gmatclub.com/forum/in-the-decimal-above-and-x-represent-single-digits-what-94965.html?fl=similar | Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club
It is currently 28 Mar 2017, 16:41
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed y... | {"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://hal.ird.fr/insu-01585969v1 | # Identification of deep subaqueous co-seismic scarps through specific coeval sedimentation in Lesser Antilles: implication for seismic hazard
Abstract : During the GWADASEIS cruise (Lesser Antilles volcanic arc, February–March 2009) a very high resolution (VHR) seismic-reflection survey was performed in order to cons... | {"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://bora.uib.no/bora-xmlui/handle/1956/917/browse?type=subject&value=Scattering+theory | Now showing items 1-1 of 1
• #### Modelling and inversion of time-lapse seismic data using scattering theory
(Master thesis, 2015-06-01)
Waveform inversion methods can be used to obtain high-resolution images of the elastic and acoustic property changes of petroleum reservoirs under production, but remains computat... | {"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.acmicpc.net/problem/11321 | 시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 256 MB 4 3 3 75.000%
문제
Albert is a Computer Science student that loves math! Unfortunately, despite his love for math, he does not have a very good handle on the basics! He especially has difficulties with addition, an affliction that has plagued him since his youngest days.
Unfor... | {"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://en.m.wikibooks.org/wiki/Ordinary_Differential_Equations/Substitution_1 | # Ordinary Differential Equations/Substitution 1
First-Order Differential Equations
As we saw in a previous example, sometimes even though an equation isn't separable in its original form, it can be factored into a form where it is. Another way you can turn non-separable equations into separable ones is to use substi... | {"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": 44, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://academic.oup.com/nar/article/35/22/7733/2402267/Probing-potential-binding-modes-of-the-p53 | ## Abstract
Symmetries in the p53 response-element (p53RE) encode binding modes for p53 tetramer to recognize DNA. We investigated the molecular mechanisms and biological implications of the possible binding modes. The probabilities evaluated with molecular dynamics simulations and DNA sequence analyses were found to ... | {"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://community.wolfram.com/groups/-/m/t/2281006 | GROUPS:
# Proving S_n will be negative infinitely often in Wolfram|Alpha?
Posted 17 days ago
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Let $$S_ n=\sin^{-1}\left(\sin\left(2\pi^{2}\left(n!\right)\right)\right)+\frac{\pi}{5}$$ where n is a positive integer.I need to prove that $S_n<0$ for infinitely many positive integr... | {"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://math.stackexchange.com/questions/399032/pullback-calculation | # Pullback Calculation
If we define the 2-form $\omega=\frac{1}{r^3}(x_1dx_2\wedge dx_3+x_2dx_3\wedge dx_1+x_3dx_1\wedge dx_2)$ with $r=\sqrt{x_1^2+x_2^2+x_3^2}$
If we now define $x(\theta,\phi)=(\sin\theta\cos\phi,\sin\theta\sin\phi,\cos\theta)$ for $\theta\in(0,\pi)$ and $\phi\in (0,2\pi)$
I now want to show that ... | {"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://isotopicmaps.org/pipermail/tmql-wg/2007-July/000412.html | # [tmql-wg] Yet another draft + Issues list
Robert Barta rho at devc.at
Mon Jul 16 01:47:59 EDT 2007
Hi,
As you might have seen already, Patrick has posted a new version of
the TMQL spec:
http://www.jtc1sc34.org/repository/0887.pdf
Major changes relative to Oslo are:
- removed the environment map and the possibil... | {"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://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_002A/UCD_Chem_2A/Worksheets/Worksheet_3A%3A_Balancing_Redox_Reactions | Worksheet 3A: Balancing Redox Reactions
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$... | {"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://export.arxiv.org/abs/astro-ph/0102470 | astro-ph
(what is this?)
Title: The redshift-space two-point correlation functions of galaxies and groups in the Nearby Optical Galaxy sample
Authors: Giuliano Giuricin, Srdjan Samurovic, Marisa Girardi, Marino Mezzetti, Christian Marinoni (Dept. of Astronomy, Trieste University)
Abstract: We use the two-point corre... | {"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://scribesoftimbuktu.com/evaluate-6-37106-2/ | # Evaluate 6.37*10^6
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of , with the power corresponding to the amount of places the decimal should move.
The result can b... | {"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://www.ma.utexas.edu/mp_arc-bin/mpa?yn=10-95 | 10-95 F. Pezzotti
Mean-field Limit and Semiclassical Approximation for Quantum Particle Systems (326K, LATeX 2e) Jun 17, 10
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers
Abstract. We consider a system constituted by $N$ identical particles interacting by means of a mean-field Hamilto... | {"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/differential-geometry/164452-torus-smooth-function.html | # Math Help - Torus and smooth function
1. ## Torus and smooth function
Hello,
I want to show that this function is smooth:
$
f:T->\mathbb{R} , f(x)=e^1(x)=x^1
$
T is the Torus defined as: $T=\{((R+r*cosv)cosu,(R+r*cosv)sinu,r*sinv) \subset \mathbb{R}^3: u,v \in [0,2\pi)\}$ and R,r>0 constant.
I don't know how f ... | {"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://arxiv.org/abs/1801.00210 | math.NT
(what is this?)
Title:A study of elliptic gamma function and allies
Abstract: We study analytic and arithmetic properties of the elliptic gamma function $$\prod_{m,n=0}^\infty\frac{1-x^{-1}q^{m+1}p^{n+1}}{1-xq^mp^n}, \qquad |q|,|p|<1,$$ in the regime $p=q$; in particular, its connection with the elliptic dil... | {"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://jmlr.org/beta/papers/v13/el-yaniv12a.html | # Active Learning via Perfect Selective Classification
Ran El-Yaniv, Yair Wiener.
Year: 2012, Volume: 13, Issue: 9, Pages: 255−279
#### Abstract
We discover a strong relation between two known learning models: stream-based active learning and perfect selective classification (an extreme case of 'classification with... | {"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://math.stackexchange.com/questions/3328299/beth-cardinals-and-inacceesible-cardinals/3328318 | # Beth cardinals and inacceesible cardinals
Since my last question here about the Alephs was too imprecise and thus went over like a lead balloon, I am trying a new and simpler question which asks what I probably should have asked before.
Under "Beth Numbers" in Wikipedia I read:
"In ZF, for any cardinals $$\kappa$$... | {"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/algebra/53587-representation-term.html | 1. ## representation of term
hi is there another way of representing term? can i manipulate it to look different?
1+x/2+x ?
2. Originally Posted by jonbob81
hi is there another way of representing term? can i manipulate it to look different?
1+x/2+x ?
$\frac{1 + x}{2 + x} = \frac{2 + x - 1}{2 + x} = \frac{2 + x}{2 ... | {"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... |
http://cogsci.stackexchange.com/questions/1951/what-is-the-longer-term-prognosis-for-women-in-their-early-20s-with-schizoaffec/1957 | # What is the longer term prognosis for women in their early 20's with Schizoaffective disorder?
I am asking as I have this condition and I am hoping to gather more data about my particular demographic, in order to give me a better idea as to what they are doing, as well to lead me to how those of us with this conditi... | {"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.springer.com/us/book/9783030345471?utm_campaign=3_pier05_buy_print&utm_content=en_08082017&utm_medium=referral&utm_source=google_books | Springer Theses
# The Search for Supersymmetry in Hadronic Final States Using Boosted Object Reconstruction
Authors: Stark, Giordon
Free Preview
• Nominated as an outstanding PhD thesis by the University of Chicago
•
• Analyzes signals of supersymmetry via hadronic systems in unprecedented depth
•
• Describes the de... | {"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.lektorium.tv/node/34173 | # Коллоквиум. Automorphisms of Weyl Algebra
Лекция
Предмет:
Дата записи:
18.04.19
Дата публикации:
24.04.19
Код для блога:
The famous Jacobian Conjecture states that locally invertible polynomial mapping over is globally invertible. Dixmier conjecture says that any endomorphism of the ring of differential operators (... | {"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://repository.unm.edu/handle/1928/10910?show=full | dc.contributor.author Scullin, Chessa dc.date.accessioned 2010-06-28T22:47:54Z dc.date.available 2010-06-28T22:47:54Z dc.date.issued 2010-06-28T22:47:54Z dc.date.submitted May 2010 dc.identifier.uri http://hdl.handle.net/1928/10910 dc.description.abstract Following a presynaptic action potential, there is a rapid rise ... | {"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://physics.stackexchange.com/tags/solar-system/hot | # Tag Info
37
Neither of those statements are true. It's an easy approximation to make: a neutron star has all of that 'space' removed from between nucleons --- so we just need to know how big a neutron star of mass equal to the solar system would be. Well, the only significant mass is the sun (jupiter is about 1% th... | {"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://www.myhelper.tk/hydrocarbons/ | You cannot copy content of this page
# HYDROCARBONS
Organic compound are composed of only carbons and hydrogen are called hydrocarbons.
ON THE BASIS OF STRUCTURE HYDROCARBONS ARE OF TWO TYPES
1. Acyclic or open chain hydrocarbons
2. Cyclic or closed chain hydrocarbons
Acyclic or open chain hydrocarbons
These hyd... | {"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://etheses.bham.ac.uk/id/eprint/926/ | # Signals for B cell activation in antibody response
Zhang, Yang (2010). Signals for B cell activation in antibody response. University of Birmingham. Ph.D.
Preview
Zhang10PhD.pdf
PDF
## Abstract
Germinal centres (GCs) are the sites where V-gene hypermutation and B cell selection are taking place. Testing specific... | {"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/math-challenge-problems/111337-integral-basic.html | # Thread: integral , basic ..
1. ## integral , basic ..
Use this formula only $\int x^n ~dx = \frac{ x^{n+1}}{n+1} + c$
Find the integral $\int \frac{dx}{\sqrt{ x + \sqrt{ x^2 + 1}}}$
Of course , little Algebra is allowed . Try to answer this without applying substitution , integration by parts , etc
2. Edit
3. W... | {"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": 29, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/105260/clustering-numbers-by-factors-count | # Clustering numbers by factors count
Is there a formula (or an efficient approach) for counting amount of positive numbers in range up to $N$ which have exactly $K$ divisors?
P.S.
Initial problem was to cluster number in range [1..N] according to the number of divisors. Then find multiplication of clusters' sizes f... | {"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://mathhelpforum.com/discrete-math/193473-question-about-cardinality-empty-set.html | # Math Help - question about cardinality of empty set
1. ## question about cardinality of empty set
Hi
I am doing the chapter "Equinemerous sets" from Velleman's "How to prove it" and
I have some doubts. At one point he says that "for each natural number n , let
$I_n=\{i \in \mathbb{Z^+}\lvert i \le n \}$. A set $A$... | {"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": 36, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathematica.stackexchange.com/tags/data-types/hot | Tag Info
46
Update: Mathematica 10 has introduced Association, which can be used as a close equivalent of structs. params = <| "par1" -> 1, "par2" -> 2 |> params["par1"] (* ==> 1 *) In version 10 pure functions can have named arguments, and can be effectively used as expression templates where the slots can be popula... | {"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://aps.arxiv.org/list/math.RA/2006?skip=0&show=50 | # Rings and Algebras
## Authors and titles for math.RA in Jun 2020
[ total of 124 entries: 1-50 | 51-100 | 101-124 ]
[ showing 50 entries per page: fewer | more | all ]
[1]
Title: Sylvester-type quaternion matrix equations with arbitrary equations and arbitrary unknowns
Authors: Zhuo-Heng He
Subjects: Rings and Algeb... | {"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/percent-difference-and-uncertainty.431036/ | # Homework Help: Percent difference and uncertainty
1. Sep 21, 2010
### mike2601
1. The problem statement, all variables and given/known data
How do we solve this problem?
% Difference = (l 0.282 +/- 0.0019 - 0.288 +/- 0.04 l) / 0.285 +/- 0.02
2. Relevant equations
Percent Difference = (l value - average value l... | {"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.groundai.com/project/astrophysical-configurations-with-background-cosmology-probing-dark-energy-at-astrophysical-scales/ | Probing Dark Energy at Astrophysical Scales
# Astrophysical Configurations with Background Cosmology: Probing Dark Energy at Astrophysical Scales
A. Balaguera-Antolínez, D. F. Mota and M. Nowakowski
Max Planck Institute für Extraterrestrische Physik, D-85748, Garching, Germany
Institute for Theoretical Physics, Unive... | {"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://en.wikipedia.org/wiki/Euler's_four-square_identity | # Euler's four-square identity
In mathematics, Euler's four-square identity says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares. Specifically:
$(a_1^2+a_2^2+a_3^2+a_4^2)(b_1^2+b_2^2+b_3^2+b_4^2)=\,$
$(a_1 b_1 + a_2 b_2 + a_3 b_3 + a_4 b_4)^2 +\,$
$(a_1 b_2 - a... | {"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://matheducators.stackexchange.com/questions/15214/why-do-standard-geometry-textbooks-not-start-with-trigonometry | # Why do standard geometry textbooks not start with trigonometry?
Throughout my geometry course, I was given many theorems and postulates, which I was were expected to memorize and apply. At the time, I sorta went along with it, but I couldn’t help but wonder where these came from. Probably 90% of these questions were... | {"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://www.lexifi.com/blog/ocaml/unboxed-floats-ocaml/ | # Unboxed floats in OCaml
Alain Frisch 2016-04-14
This post describes how unboxing for float values works in OCaml, focusing on recent evolutions. Most of the content here applies to boxed integer types as well (int32, int64 and nativeint).
## Background: why floats are boxed in OCaml
Some background first. OCaml u... | {"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... |