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https://bibbase.org/network/publication/fischerjrgensen-onthedefinitionofphonemecategoriesonadistributionalbasis-1952 | On the definition of phoneme categories on a distributional basis. Fischer-Jørgensen, E. Acta Linguistica, 7(1-2):8–39, January, 1952.
Sapir was probably the first to suggest that phonemes might be grouped into categories according to their possibilities of combination with other phonemes in the speech chain2. Bloomfie... | {"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/electric-field.121825/ | # Electric Field
1. May 23, 2006
### jg95ae
I'm not sure if I've done this question correctly:
An equilateral triangle with sides of 15.6 cm, and a charge of +2 uC at one vertex, and charges if -4uC each at the other two. Determine the electric field at the centre of the triangle.
Basically what I've done is figur... | {"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/mechanics-velocity-of-a-bullet-questions.208587/ | Mechanics velocity of a bullet questions
1. Jan 13, 2008
Chris08
Hello, i have a few questions i am doing and am wondering if someone would be kind enough to check i am doing them correctly
First question is..
A shot is fired horizontally at a target 20m away and it is notice3d that the bullet hits a point 7.5cm b... | {"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.gradesaver.com/textbooks/math/algebra/elementary-and-intermediate-algebra-concepts-and-applications-6th-edition/chapter-11-quadratic-functions-and-equations-11-1-quadratic-equations-11-1-exercise-set-page-707/65 | ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
The solutions are $x=-\displaystyle \frac{4}{3}$ and $x=-\displaystyle \frac{2}{3}$.
$9x^{2}+18x=-8\qquad$..divide both sides with $9$ $x^{2}+2x=-\displaystyle \frac{8}{9}\qquad$..add $1$ to both sides to complete the square ($\displaystyle ... | {"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/21576-cramer-s-rule-determinants.html | 1. Cramer's Rule and Determinants
I am to solve the following using Cramer's rule:
-x1 - 4x2 + 2x3 + x4 = -32
2x1 - x2 + 7x3 + 9x4 = 14
-x1 + x2 + 3x3 + x4 = 11
x1 - 2x2 + x3 - 4x4 = -4
I know x1 = [det(A1)]/[det(A)]
but I'm not sure what the best approach is to find the determinant of a 4x4 matrix, because cofacto... | {"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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stacks.math.columbia.edu/tag/06Y1 | Lemma 15.59.3. Let $R \to R'$ be a ring map. If $K^\bullet$ is a K-flat complex of $R$-modules, then $K^\bullet \otimes _ R R'$ is a K-flat complex of $R'$-modules.
Proof. Follows from the definitions and the fact that $(K^\bullet \otimes _ R R') \otimes _{R'} L^\bullet = K^\bullet \otimes _ R L^\bullet$ for any compl... | {"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://motls.blogspot.com/2015/08/erwin-schrodinger-10000000th-birthday.html | ## Wednesday, August 12, 2015 ... /////
### Erwin Schrödinger: 10,000,000th birthday
Sometimes the binary numbers look more impressive
128 years ago, Erwin Rudolf Josef Alexander Schrödinger was born as the only child to a botanist (and cerecloth producer) and a daughter of a chemistry professor in Vienna. His mothe... | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.lessonplanet.com/teachers/classical-conditioning-experiment-social-studies-and-history-11th-12th | # Classical Conditioning Experiment
Students define classical conditioning and identify its four parts. | {"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://documen.tv/question/there-is-a-circle-with-a-diameter-of-3-round-to-nearest-tenth-23335580-6/ | ## There is a circle with a diameter of 3. Round to nearest tenth!
Question
There is a circle with a diameter of 3. Round to nearest tenth!
in progress 0
7 months 2021-08-09T08:07:17+00:00 1 Answers 0 views 0
## Answers ( )
1. Answer:
Step-by-step explanation:
What is the Radius?
1.5
this is just 1/2. 1/2 of 3... | {"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://3dprinting.stackexchange.com/questions/4084/is-it-a-good-idea-to-include-thermal-fuses-in-a-diy-3d-printer-design/10292 | # Is it a good idea to include thermal fuses in a DIY 3D printer design?
3D printing should be relatively safe, however, the inherent nature of 3D printers, with all of the heated parts, constitutes a fire risk. A well designed 3D printer should be designed to be as safe as possible, especially one used in the home...... | {"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://achp.sourceforge.net/ACHPComponents/Compressor.html | Compressor¶
Overview¶
A compressor is the heart of the air-conditioning or refrigeration system, compressing the refrigerant from the low-pressure side of the system up to the high-pressure side of the system. Because it plays such a a significant role in the overall system efficiency, the accuracy of the compressor ... | {"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://hal.inria.fr/hal-01196139 | # Orbits of the Bernoulli measure in single-transition asynchronous cellular automata
Abstract : We study iterations of the Bernoulli measure under nearest-neighbour asynchronous binary cellular automata (CA) with a single transition. For these CA, we show that a coarse-level description of the orbit of the Bernoulli ... | {"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://mathoverflow.net/questions/42117/discrete-subspaces-of-hausdorff-spaces?answertab=active | # Discrete subspaces of Hausdorff spaces
does every infinite hausdorff space contains a countable infinite discrete subspace?
-
This sounds like homework. What have you tried? Also, unless it is rewritten, this question might be considered too localised and be closed soon. Providing motivation which is of interest to... | {"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://www.physics.unlv.edu/~thanki/thesis/node12.html | Next: Capacity Dimension Up: FRACTAL DIMENSIONS Previous: FRACTAL DIMENSIONS
# Defining Fractals and Fractal Dimensions
Fractals are sets that appear to have complex structure no matter what scale is used to examine them. True fractals are infinite sets and have self-similarity across scales, so that the same quality... | {"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/894704/an-outrageous-way-to-derive-a-laurent-series-why-does-this-work | # An outrageous way to derive a Laurent series: why does this work?
I had to compute a series expansion of $1/(e^{x}-1)$ about $x=0$, and in the course of its derivation, I made a couple of manipulations that are not allowed mathematically. Still, comparing the final result against Maple showed that it was right.
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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.neueve.com/blogs/immunome-research/4-1-4 | ## Immunome Research archive hosted by NeuEve
Immunome Research was a scientific journal published from 2005-2010 about cutting edge immunology research, integrating genomics, and bioinformatics. NeuEve supports science, so we have put the articles originally published in Immunome Research back online.
• Research
• O... | {"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.mathworks.com/matlabcentral/newsreader/view_thread/244995 | MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi
### Discover what MATLAB® can do for your career.
Opportunities for recent engineering grads.
# Thread Subject: mex -setup error
Subject: mex -setup error From: Ajay Date: 20 Feb, 2009 17:12:02 Message: 1 of 5 Hi, I am trying to setup mex on my mach... | {"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://crypto.stackexchange.com/questions/10246/question-regarding-multiple-sha-256-rounds-on-a-bitcoin-brain-wallet-passphrase | # Question regarding multiple SHA-256 rounds on a Bitcoin Brain Wallet passphrase…
I am attempting to come up with a way of memorizing a seed that could lead to any number of brain wallets for bitcoin. I need multiple wallets because a) I don't want all my eggs in one basket, and b) I want to be able to import small 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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Definition:Path_Component/Maximal_Path-Connected_Set | # Definition:Path Component/Maximal Path-Connected Set
Let $T$ be a topological space.
The path component of $T$ containing $x$ is defined as:
the maximal path-connected set of $T$ that contains $x$. | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://publications.aap.org/pediatrics/article/148/1/e2020029249/179943/Incidence-and-Relapse-of-Idiopathic-Nephrotic?autologincheck=redirected | CONTEXT
Idiopathic nephrotic syndrome (INS) in children is a disease with considerable morbidity, yet the incidence and risk for relapse have not been systematically reviewed.
OBJECTIVE
To estimate the overall pooled weighted incidence and risk for relapse of INS in children.
DATA SOURCES
Medline and Embase (until... | {"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://doubtnut.com/question-answer/definition-of-reflexive-relation-1339912 | or
# Definition of Reflexive relation
Question from Class 12 Chapter Relations
Apne doubts clear karein ab Whatsapp par bhi. Try it now.
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<h1><span style="font-size:16pt"><span style="font-family... | {"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://r-pkg.org/pkg/PowerUpR | # Power Analysis Tools for Multilevel Randomized Experiments
Statistical power analysis tools for designing multilevel randomized experiments. Includes functions to calculate statistical power (1 - type II error), minimum detectable effect size (MDES), minimum required sample size (MRSS), functions to solve constraine... | {"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://borgdrone.com/search/2017-06-30/genomic.html | Genome analysis of Endomicrobium proavitum suggests loss and gain of relevant functions during the evolution of intracellular symbionts.
Related Articles
Genome analysis of Endomicrobium proavitum suggests loss and gain of relevant functions during the evolution of intracellular symbionts.
Appl Environ Microbiol. 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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/206840/what-is-this-symbol-consisting-of-a-horizontal-line-crossed-by-a-rotated-vertial | # What is this symbol consisting of a horizontal line crossed by a rotated vertial line?
I'm looking at the following symbol, between W and X, in an old PDF file:
and would like to use it in Math mode in my document, but can't figure it out which symbol it is. Is it a standard Math symbol? Any suggestions for symbols... | {"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": 2, "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/for-the-years-that-have-gone-by/ | # For the years that have gone by!
Calculus Level 3
$\large \sum_{r=2}^{n} \int_{r}^{r^{2}} \dfrac{dx}{x\ln x}$
For $$f(n)$$ as defined above, $$f(2016)=\alpha \ln 2$$. Find $$\alpha$$.
× | {"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://juristr.com/blog/2009/05/use-google-scholar-and-latex-for/ | # Use Google Scholar and Latex for correctly citing papers
Citing papers is somewhat critical. There are predefined styles that have/should be respected. But it can be really easy. With Latex you can define a kind of "references file" having the ".bib" extension. Then you define your citations in it, like
`@article{ta... | {"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.zazzle.com/mothers+as+artist+gift+boxes | Showing All Results
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Related Searches: day, mom, day pink tulips
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http://math.stackexchange.com/questions/9688/convergence-of-vert-f-vert-p-with-respect-to-p/9739 | # Convergence of $\Vert f \Vert_p$ with respect to $p$
For a Lebesgue measurable function $f$, $\Vert f \Vert_p$ converges to $\Vert f \Vert_\inf$ as $p$ goes to infinity.
I was wondering if $\Vert f \Vert_p$ converges to $\exp(\int \log |f|)$ as $p$ goes to $0$ for probability measure. How to prove this?
Thanks!
-... | {"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://arxiv.org/abs/1705.06171v1 | ### Current browse context:
cond-mat.quant-gas
(what is this?)
# Title: Zeros of Loschmidt echo in the presence of Anderson localization
Abstract: We study the Loschmidt echo and the dynamical free energy of the Anderson model after a quench of the disorder strength. If the initial state is extended and the eigenst... | {"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://powerandsamplesize.com/Calculators/Test-Time-To-Event-Data/Cox-PH-1-Sided-non-inferiority-superiority | Sample Size, $n$
Power, $1-\beta$
Type I error rate, $\alpha$
X-axis
min
max
Documentation
Test 1 Mean
Compare 2 Means
Compare k Means
Test 1 Proportion
Compare 2 Proportions
Compare Paired Proportions
Compare k Proportions
Test Time-To-Event Data
Test Odds Ratio
Test Relative Incidence in Self Controlled Case Se... | {"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://tkramesh.wordpress.com/2009/10/02/bipartite-matching-an-application/ | # Bipartite Matching: An application
Firstly, we define the concept of a matching.
Suppose we are given a graph, G = (V, E). As the name suggests, a matching means a pairing of vertices of the graph. In other words, each vertex is “matched” to exactly one other vertex in the graph to which it had been connected by an... | {"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": 12, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/algebra/61373-please-explain.html | (x – 2)^2
2. Originally Posted by Elli
(x – 2)^2
$(x-2)^2 = (x-2)(x-2) = x^2-2x-2x+4 = x^2-4x+4$
make two brackets then foil.
3. Originally Posted by Elli
(x – 2)^2
hi
it is like (a-b)^2 ^-whole square
(a-b)^2=a^2-2ab+b^2 (^power2)
(x-2)^2=x^2-2*x*2+2^2
(x-2)^2=x^2-4x+4
ok
4. ## Unless specifically asked to do 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": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/50ac2fabe4b06b5e4933a5a1 | ## A community for students. Sign up today!
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like this?|dw:1353461709200:dw| is 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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crm.sns.it/event/153/ | # Mauro Carfora Lectures
18 May 2009 - 29 May 2009
This event is part of an intensive research period:
Geometric Flows and Geometric Operators.
# Aims
Mauro Carfora, Dipartimento di Fisica Nucleare e Teorica, Università di Pavia - Ricci flow in theoretical and mathematical physics
Ricci flow plays a natural role i... | {"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.chegg.com/homework-help/questions-and-answers/60-hz-three-phasa-trnsmission-line-300-mi-long-servesa-load-400-mva-08-lagging-power-facto-q535789 | A 60 Hz three-phasa trnsmission line is 300 mi long and servesa load of 400 MVA, with 0.8 lagging power factor at 345 kv . TheABCD constants of the line are:
A=D=0.818
B=172.2 Ω
C=0.001933 S
a) Determine the sending-end line-to-neutral voltage, thesending-end current and the sending-end active power.
b)Percent voltage ... | {"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://artofproblemsolving.com/wiki/index.php?title=2020_AIME_II_Problems/Problem_7&oldid=124423 | # 2020 AIME II Problems/Problem 7
## Problem
Two congruent right circular cones each with base radius and height have the axes of symmetry that intersect at right angles at a point in the interior of the cones a distance from the base of each cone. A sphere with radius lies withing both cones. The maximum possible va... | {"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://cs.stackexchange.com/questions/40390/the-relation-between-2sat-and-3sat/40395 | # The relation between 2SAT and 3SAT
Show that proving 2SAT is not NP-Complete would prove that 3SAT is not in P.
Or eqivalently -
Show that proving 3SAT is in P would prove that 2SAT is NP-Complete.
I can see there is an easy reduction from 2SAT to 3SAT and it seems like it is the key here, but I can't quite prove... | {"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://en.wikibooks.org/wiki/Control_Systems/State-Space_Equations | # Control Systems/State-Space Equations
## Time-Domain Approach
The "Classical" method of controls (what we have been studying so far) has been based mostly in the transform domain. When we want to control the system in general we use the Laplace transform (Z-Transform for digital systems) to represent the system, an... | {"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": 73, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://opencircuitinstitute.org/content/installing-oci-libraries | # 1.2 Installing OCI Libraries
• Or if you're using Linux, you may pull the directory down by navigating to the folder you would like to save the symbols, open the terminal there and type:
git clone https://github.com/ShaneOberloier/OCI_UPL_Symbols
• A benefit of using git to acquire the symbols is that it can be easi... | {"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://socratic.org/questions/58f8eb7f7c0149329e10975b | Chemistry
Topics
# A 10.5*g mass of a hydrocarbon contains 1.5*g of hydrogen. If the molecular mass of the hydrocarbon in 210*g*mol^-1, what are the empirical and molecular formulae of the hydrocarbon?
Apr 23, 2017
$1.5 g$ of H would be $1.5 \div 1 = 1.5 m o l$
$9 g$ of C would be $9 \div 12 = 0.75 m o l$
#### Expl... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 25, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://unapologetic.wordpress.com/2011/11/22/the-divergence-theorem/?like=1&source=post_flair&_wpnonce=d0199d491e | # The Unapologetic Mathematician
## The Divergence Theorem
I’ve been really busy with other projects — and work — of late, but I think we can get started again. We left off right after defining hypersurface integrals, which puts us in position to prove the divergence theorem.
So, let $S$ be a hypersurface with dimen... | {"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": 37, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/15515/combinatorial-identity-and-counting | Combinatorial Identity and Counting
Show that $\binom{2n}{2} = 2 \binom{n}{2}+n^2$.
LHS: This is the number of pairs of $2n$ distinct elements.
RHS: We can rewrite this as $2 \binom{n}{2}+ \binom{n}{1} \binom{n}{1}$. So you can divide up the $2n$ distinct elements into two subsets of $n$ elements. Then pick an eleme... | {"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://www.moongamers.com/forum/index.php?s=5c2899e897225f9aafcadd336ab7e6f4&act=idx | ### Toggle shoutboxMoonGamers Shoutbox
Welcome to MoonGamers!
Unban requests are handled only in the Unban forums, not in Shoutbox, PMs, emails, etc.
PLEASE use the Tech Support forum or Discord/TeamSpeak for technical support, NOT the Shoutbox.
---------------------------------------------------------------
BF1942 ... | {"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://infoscience.epfl.ch/record/63507 | ## Water wave-driven seepage in marine sediments
The action of water waves moving over a porous seabed drives a seepage flux into and out of the marine sediments. The volume of fluid exchange per wave cycle may affect the rate of contaminant transport in the sediments. In this paper, the dynamic response of the seabed... | {"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/155684/how-can-i-modify-the-beamer-footline-in-a-way-that-doesnt-change-positioning-of | # How can I modify the Beamer footline in a way that doesn't change positioning of contents/sidebar?
I've started with the basic Berkeley theme in Beamer. I wanted to modify the footer to include the page numbers that are centered on the slide. However, the modified footline element seems to be "stacked" at the bottom... | {"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://mathonline.wikidot.com/criteria-for-a-subgroup-to-be-normal | Criteria for a Subgroup to be Normal
# Criteria for a Subgroup to be Normal
Recall from the Normal Subgroups page that if $(G, \cdot)$ is a group and $(H, \cdot)$ is a subgroup then $(H, \cdot)$ is said to be a normal subgroup of $G$ if $gH = Hg$ for all $g \in G$, that is, the left and right cosets of $H$ with repre... | {"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://nylogic.org/talks/paraconsistent-justification-logic | # Paraconsistent Justification Logic
Computational Logic SeminarTuesday, November 26, 20132:00 pmGraduate Center, rm. 3209
# Paraconsistent Justification Logic
### The University of Melbourne
In the literature of belief revision, there is one approach called belief base belief revision, where the belief set is not ... | {"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://brilliant.org/problems/a-specific-case/ | # A Specific Case
What is the sum of all positive integers less than $$27$$ and relatively prime to $$27$$?
Bonus: Generalize this for any positive integer $$n$$
× | {"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://forum.allaboutcircuits.com/threads/sum-of-products-and-k-mapping.3341/ | # Sum of products and k-mapping
#### Thirsty
Joined Aug 9, 2006
5
I am stuck on a particular problem. I need workout the sum of products and then plot as a k-map. I am confident of the k-map part once i have the sum of products.
(A + B' C)' + (A B + C')'
#### Papabravo
Joined Feb 24, 2006
13,909
There are two ways... | {"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://mathoverflow.net/questions/95260/delay-differential-equation | # delay differential equation
I'm looking for exact solutions, if such exist, for the following non-linear delay differential equation (DDE):
$y_x(x) = A y(x-1)^a$
where $0 < a < 1$ and $A > 0$ are given constants. Naturally the special case $a = 1$ reduces the equation to a linear DDE, whose solution is well known.... | {"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://read.electricbook.net/page/1/Calculus+Basics+Review/Inverse%20trig%20functions/0/3/7/0/0/ | Taking the derivative of a function that includes an inverse trigonometric function is no different than other trigonometric functions. This example uses the chain rule and the identities of derivatives of inverse functions to find the derivative of: $arctan\left(\sqrt{{x}^{3}}\right)$
Differentiating an inverse trigon... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 8, "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://litereplica.io/install-dotnet.html | # litereplica
### .NET
There are many options:
##### System.Data.SQLite
We need to install the dependencies (Binn and nanomsg), replace the the SQLite code and then compile the module. Here are the steps:
2. Copy binn-1.0.dll and nanomsg.dll to the Windows\SystemWOW64 or Windows\System32 folder
3. Copy the files ... | {"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://economics.stackexchange.com/questions/42206/do-points-inside-the-ppf-curve-always-mean-productive-inefficiency/42208 | # Do points inside the PPF curve always mean productive inefficiency?
If a firm produces combinations of goods along the PPF curve, it has achieved its productive efficiency. And when a firm reaches productive efficiency, it means that all factors of production have been fully utilized. And another way of measuring pr... | {"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://brilliant.org/discussions/thread/cubics/?sort=new | # Cubics
A cubic polynomial is a polynomial in the form of $y=(ac)x^3+(ad+bc)x^2+(ae+bd)x+(be)$, where ac cannot equal zero. It can be factored into the form $(ax+b)(cx^2+dx+e)$.
Some of their noteworthy properties include:
• It has a degree of three.
• Its common difference is the third difference.
• The end behavi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 24, "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/ma... |
https://www.physicsforums.com/threads/second-order-homogenous-with-variable-coeffecients.160946/ | # Second order homogenous with variable coeffecients
1. Mar 15, 2007
### Terilien
In general how do we deal with linear second order differential equations with variable coeffecients?
2. Mar 16, 2007
### Matthew Rodman
In general, you can't. You have to specify the form of those coefficients and hope to match it ... | {"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://codegolf.stackexchange.com/questions/189471/decode-a-variable-length-quantity/189507 | # Decode a variable-length quantity
A variable-length quantity (also referred to as VLQ or uintvar) is a way to encode up to a 28 bit integer value using only as many bytes as necessary. This was used in MIDI file format as a way to minimize the size of certain event data.
The way it works is fairly simple. As a big-... | {"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://advocatetanmoy.com/adv-kb/criminal-digest/a-special-court-u-s-36a-of-ndps-act-is-deemed-to-be-a-court-of-session/ | # A Special Court u/s 36A of NDPS Act is deemed to be a Court of Session
It has been held therein that the non-obstante clause contained at the beginning of Section 36-A of the NDPS Act necessarily indicates that the procedure contemplates in the Cr.P.C. for trial of the offences under the NDPS Act, is not at all appl... | {"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://ccjou.wordpress.com/2017/06/12/%E6%AF%8F%E9%80%B1%E5%95%8F%E9%A1%8C-june-12-2017/ | ## 每週問題 June 12, 2017
Let $\mathbf{v}_1,\ldots,\mathbf{v}_n$ be a basis of an inner product space. Prove that there exists an orthogonal basis $\mathbf{e}_1,\ldots,\mathbf{e}_n$ such that $\mathbf{e}_i\in\hbox{span}\{\mathbf{v}_1,\ldots,\mathbf{v}_i\}$ for all $i=1,\ldots,n$.
$\mathbf{e}_{k+1}=c_1\mathbf{e}_1+\cdots+... | {"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": 17, "mimetex.cgi": 0, "/images/ma... |
https://www.ideals.illinois.edu/handle/2142/19778 | ## Files in this item
FilesDescriptionFormat
application/pdf
9305538.pdf (6MB)
(no description provided)PDF
## Description
Title: The effects of salience of gender attributions and locus of blame attributions on ratings of an analogue counselor Author(s): Glidden, Cynthia Ellen Doctoral Committee Chair(s): Ackerm... | {"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://mycourses.aalto.fi/course/info.php?id=29651 | MS-E1603 - Random Graphs and Network Statistics D, 07.09.2020-15.10.2020
Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to spe... | {"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://mymathforum.com/differential-equations/58245-find-solutions-agrees-given-conditions.html | My Math Forum Find solutions, that agrees with given conditions
Differential Equations Ordinary and Partial Differential Equations Math Forum
June 11th, 2015, 10:20 AM #1 Newbie Joined: Jun 2015 From: House Posts: 11 Thanks: 0 Find solutions, that agrees with given conditions For example I have this dif. equation... | {"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-equations/171771-separable-equations-application-3.html | # Math Help - Separable Equations Application
1. (b-x)/(a-x) = e^(kt(b-a))
How do I isolate the x?
2. Originally Posted by CluelessSenior
(b-x)/(a-x) = e^(kt(b-a))
How do I isolate the x?
$\displaystyle \Rightarrow b - x = a e^{k(b-a)t} - x e^{k(b-a)t}$. Group the terms with x together and take x out as a common fa... | {"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://www.physicsforums.com/threads/gram-schmidt-process-question.100213/ | # Homework Help: Gram-Schmidt Process Question
1. Nov 16, 2005
### mpm
What will happen if this process is applied to a set of vectors {v1, v2, v3} where v1 and v2 are linearly independent, but v3 belongs to set Span(v1,v2). Will the process fail? If it fails, why does it fail?
2. Nov 16, 2005
### mpm
Doesn't any... | {"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://6002.catsoop.org/S20/prelab1 | # Prelab 1
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Note that this link will take you to an external site (https://shimmer.csail.mit.edu) to authenticate, and then you will be redirected back to this page.
#Prelab
For most labs this term we'll have a prelab, some of which are optional (like this one) and some which are required. In ... | {"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://socratic.org/questions/how-do-you-write-the-fraction-3-12-in-simplest-form | Prealgebra
Questions Topics
# How do you write the fraction 3/12 in simplest form?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
44
sjc Share
Nov 23, 2016
$= \frac{1}{4}$
#### Expla... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 8, "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://socratic.org/questions/how-do-you-round-both-of-these-decimals-to-the-nearest-integer-623-425-and-702-7 | Algebra
Topics
How do you round both of these decimals to the nearest integer: 623.425 and 702.725? thank u so much!?
1 Answer
May 31, 2015
$623.425$ rounded to the nearest integer is $623$
$702.725$ rounded to the nearest integer is $703$
Consider the second of these: $702.725$
The candidates to look at are $702$ ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 13, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/derivatives-and-integrals.625902/ | # Derivatives and Integrals
1. Aug 6, 2012
### Swetasuria
What I have learnt in school is that differentiation and integration are opposites.
By integrating a function we find the area under the graph. So, integration gives us the area. Differntiation gives slope of the function.
If I am right by saying differenti... | {"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://blender.stackexchange.com/questions/3602/giving-planes-thickness-in-real-time-display | # Giving planes thickness in real-time display
I've got a bunch of planes that are perfectly lined up with the coordinate space, so I can't see them when I go to either front, side, or top view. Is it possible to give planes some thickness for the real-time display, just so I don't lose track of them when I'm editing ... | {"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://tug.org/pipermail/xetex/2012-December/023955.html | # [XeTeX] XeTeX Digest, Vol 105, Issue 32
Sasi Kumar sasi.fsf at gmail.com
Thu Dec 27 14:05:11 CET 2012
Wish everyone a very happy 2013
On 27 December 2012 17:55, Sasi Kumar <sasi.fsf at gmail.com> wrote:
> Thanks to everyone for the quick response in spite of the Christmas
> season. I have not tried any of the sol... | {"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://michaelnielsen.org/polymath1/index.php?title=Main_Page&diff=29&oldid=27&printable=yes | # Difference between revisions of "Main Page"
## The Problem
Let $[3]^n$ be the set of all length $n$ strings over the alphabet $1, 2, 3$. A combinatorial line is a set of three points in $[3]^n$, formed by taking a string with one or more wildcards $x$ in it, e.g., $112x1xx3\ldots$, and replacing those wildcards by ... | {"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.nature.com/articles/s41467-022-33389-4?error=cookies_not_supported&code=67266e5e-e2a7-496f-b894-27b201cd4412 | ## Introduction
Bright basal reflections detected by the radar sounder MARSIS (Mars Advanced Radar for Subsurface and Ionosphere Sounding) at Ultimi Scopuli1,2 sparked a heated debate on the nature and thermal properties of the materials within the South Polar Layers Deposits (SPLD) and at the base of the ice. Interpr... | {"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://deanfieldmedia.com/i4tt8d/fraction-in-latex-12af3e | It works, although being an alternative and a little clumsy way, especially if also using an 'EdgeColor' where I have to use a spacing over the text outside the fraction for the border to be around the entire text and not only the fraction. These are summarized in the list below. Anybody can ask a question Anybody can ... | {"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://gmatclub.com/forum/for-some-integer-q-q-2-5-is-divisible-by-all-of-the-follo-94414-20.html?sort_by_oldest=true | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 12 Dec 2019, 11:17
### 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 you to Daily Prep Questions via email.
Customize... | {"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://freakonometrics.hypotheses.org/19230 | # Supervised Classification, Logistic and Multinomial
We will start, in our Data Science course, to discuss classification techniques (in the context of supervised models). Consider the following case, with 10 points, and two classes (red and blue)
> clr1 <- c(rgb(1,0,0,1),rgb(0,0,1,1))
> clr2 <- c(rgb(1,0,0,.2),rgb... | {"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": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.netzerowatch.com/nearly-half-of-80s-warming-due-to-natural-variability-new-study/ | # Nearly Half Of 80s Warming Due To Natural Variability, New Study
|
Reporting Climate Science
## Nearly half the warming seen during the 1980s was due to natural variations linked with long term cycles in the Pacific Ocean, according to new research. Natural variability contributes ‘considerably’ to surface warming ... | {"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://publikationen.bibliothek.kit.edu/1000054902 | # Neutral Higgs boson production at e⁺ e⁻ colliders in the complex MSSM: a full one-loop analysis
Heinemeyer, S.; Schappacher, C.
Abstract (englisch):
For the search for additional Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM) as well as for future precision analyses in the Higgs sector precise kno... | {"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://tex.stackexchange.com/questions/43008/absolute-value-symbols/416214 | # Absolute Value Symbols
What is the "best LaTeX practices" for writing absolute value symbols? Are there any packages which provide good methods?
Some options include |x| and \mid x \mid, but I'm not sure which is best...
• \usepackage{amsmath}...$$\lvert x\rvert$$; \mid denotes a relation symbol and is wrong for 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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/trouble-with-a-second-order-differential-equation.434590/ | # Trouble with a second order differential equation
• Start date
• #1
7
0
Hello all,
I'm having a little trouble getting the Latex to work, so I'm hoping this wont be too hard for everyone to understand.
## Homework Statement
I am given the second order differential equation
x2*y''(x)+(2*b+1)*x*y'(x)+c*y(x) = 0
Us... | {"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://mathoverflow.net/questions/38992/combinatorial-identity-involving-the-coxeter-numbers-of-root-systems | # Combinatorial identity involving the Coxeter numbers of root systems
The setup is:
$R$ = irreducible (reduced) root system;
$D$ = connected Dynkin diagram of $R$, with nodes numbered $1,2,...,r$;
$\hat D$ = extended Dynkin diagram, nodes numbered $0,1,2,...,r$;
$\alpha_k$ = $k^{th}$ simple root ($1\le k\le r$); ... | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://stats.stackexchange.com/questions/38203/weighted-harmonic-mean-vs-weighted-geometric-mean | # Weighted harmonic mean vs weighted geometric mean [duplicate]
Possible Duplicate:
Weighted geometric mean vs Weighted mean
I searched for the differences between WHM and WGM. When to use each of them? when not?
- | {"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://cran.r-project.org/web/packages/trawl/vignettes/my-vignette2.html | Simulation and estimation of an integer-valued trawl process
Trawl processes
The trawl package can be used to simulate and estimate univariate and bivariate integer-valued trawl processes as described in (Veraart 2017).
Simulation and inference in the univariate case
A univariate trawl process can be simulated usin... | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Donald_C._Spencer | # Donald C. Spencer
Donald C. Spencer
Born
Donald Clayton Spencer
April 25, 1912
DiedDecember 23, 2001 (aged 89)
NationalityAmerican
MIT
Trinity College, Cambridge[1]
AwardsBôcher Memorial Prize (1948)
National Medal of Science (1989)
Scientific career
InstitutionsPrinceton University
Doctoral advisorJ. E. Littlewood... | {"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://link.springer.com/article/10.1007/s11537-016-1529-x | Japanese Journal of Mathematics
, Volume 11, Issue 1, pp 69–111
# Knots, groups, subfactors and physics
Takagi Lectures
DOI: 10.1007/s11537-016-1529-x
Jones, V.F.R. Jpn. J. Math. (2016) 11: 69. doi:10.1007/s11537-016-1529-x
## Abstract
Groups have played a big role in knot theory. We show how subfactors (subalge... | {"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://www.physicsforums.com/showthread.php?t=124028 | # How to integrate ln(x)
by ekinnike
Tags: integrate
HW Helper P: 1,421 Integration is a Calculus topic, and therefore, should not be posted in the Precalculus section. Anyway, to integrate ln(x), we use Integration by Parts (have you covered Integration by Parts yet?), i.e: $$\int u dv = uv - \int v du$$ We often us... | {"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://www.hpmuseum.org/forum/thread-8209-post-82739.html | Programming puzzles: processing lists!
11-03-2017, 09:51 PM
Post: #221
pier4r Senior Member Posts: 1,183 Joined: Nov 2014
RE: Programming puzzles: processing lists!
(10-31-2017 12:31 PM)DavidM Wrote: ...
list 2000 elements 0 or 1 (random)
list 1 OVER SWAP MPOS LRMOV
: 9.57s on my 50g
list \->STR ".1" "" SRPL DROP ... | {"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.semanticscholar.org/paper/Cross-Cross-Resonance-Gate-Heya-Kanazawa/d7cf207794e2f67bafaa2152c86be9d3d98a691f | # Cross-Cross Resonance Gate
@article{Heya2021CrossCrossRG,
title={Cross-Cross Resonance Gate},
author={Kentaro Heya and Naoki Kanazawa},
journal={PRX Quantum},
year={2021}
}
• Published 26 February 2021
• Physics
• PRX Quantum
Implementation of high-fidelity swapping operations is of vital importance to execute quant... | {"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://jeh-tech.com/mathsy_stuff/gaussians.html | # Gaussian Notes
## Understanding The Curve Formula
### An intuitive look...
The gaussian is a bell shaped curve who's basic shape is defined by the following equation. The familiar bell-shaped curve is plotted below. Most of the plots on this page are done using the amazing MPLD3 JS library, with data saved from IP... | {"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://kb.osu.edu/dspace/handle/1811/8249 | # ABSOLUTE INFRARED INTENSITY MEASUREMENTS IN THIN FILMS II. SOLIDS DEPOSITED ON HALIDE $PLATES^{*}$
Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/8249
Files Size Format View
1963-H-09.jpg 136.2Kb JPEG image
Title: ABSOLUTE INFRARED INTENSITY MEASUREMENTS IN THIN FILMS II. SOLI... | {"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://www.numdam.org/item/ITA_1995__29_2_129_0/ | On parallel deletions applied to a word
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) no. 2, pp. 129-144.
@article{ITA_1995__29_2_129_0,
author = {Kari, Lila and Mateescu, Alexandru and Paun, Gheorghe and Salomaa, Arto},
title = {On parallel deletions applied ... | {"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.networkinghowtos.com/howto/backup-microsoft-sql-database-using-t-sql/ | # Backup Microsoft SQL Database Using T-SQL
This guide will show you how to backup a Microsoft SQL database using T-SQL commands rather than using the wizards in SQL Management Studio. This has the added benefit of being able to be scripted if needed.
Backing up a Microsoft SQL database:
BACKUP DATABASE [database_na... | {"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.doubtnut.com/question-answer/prove-that-the-sum-of-the-radii-of-the-radii-of-the-circles-which-are-respectively-inscribed-and-cir-22060 | Home
>
English
>
Class 11
>
Maths
>
Chapter
>
Trigonometric Functions
>
Prove that the sum of the radi...
# Prove that the sum of the radii of the radii of the circles, which are, respectively, inscribed and circumscribed about a polygon of n sides, whose side length is a , is 1/2acotpi/(2n)dot
Khareedo D... | {"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://drmathart.com/Artwork/Butterfly/ | Ramanujan's Butterfly Digital Print 2019
A family of thirteen triangles with vertices based on the roots of the Ramanujan simple cubic. All of the vertices of these triangles lie along the graph of the function $$n(x) = \frac{1}{1-x}$$.
### Background and Inspiration
Let $$r_1$$, $$r_2$$, and $$r_3$$ be the roots of... | {"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://vasishth.github.io/bayescogsci/book/ch-complexstan.html | # Chapter 11 Complex models and reparameterization
Now that we know how to fit simple regression models using Stan syntax, we can now turn to more complex cases, such as the hierarchical models that we fit in brms in chapter 5. Fitting such models in Stan allows us a great deal of flexibility. However, a price to be 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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-solve-3x-2-8x-0 | Algebra
Topics
# How do you solve 3x^2-8x=0?
Mar 4, 2018
The answers are $x = 0 , \frac{8}{3}$.
#### Explanation:
Factor out the $x$ term, and then set each factor each to zero.
$3 {x}^{2} - 8 x = 0$
$\textcolor{red}{x} \cdot \textcolor{b l u e}{3 x} - \textcolor{red}{x} \cdot \textcolor{b l u e}{8} = 0$
$\text... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "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://mymathforum.com/algebra/43993-arc-length-sector-area.html | My Math Forum arc length and sector area
Algebra Pre-Algebra and Basic Algebra Math Forum
May 22nd, 2014, 06:36 PM #1 Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry Convert angle to radian. $\displaystyle C_A = \alpha \times r$ : arc length $\displaystyle A_S = \frac{\alpha... | {"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://baas.aas.org/pub/2022n5i102p76/release/1?readingCollection=b328d6e0 | # K2 and Spitzer phase curves of the rocky ultra-short-period planet K2-141 b hint at a tenuous rock vapor atmosphere
Presentation #102.76 in the session Poster Session.
Published onJun 20, 2022
K2 and Spitzer phase curves of the rocky ultra-short-period planet K2-141 b hint at a tenuous rock vapor atmosphere
K2-141... | {"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://alltopicall.com/tag/strong/ | ## What can one do with knowings that occur from strong intuition?
Please see a breakdown of how one may approach the question…
• ‘Knowings’ in this sense has not been influenced by external stimulus. One can know things about our environment using the six senses as a substrate between the seeming reality out there 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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/4f8785fbe4b0505bf08701a0 | ## Got Homework?
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## jiberjiber Group Title What is and how do you find the y-asymptote... | {"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://en.wikipedia.org/wiki/Confidence_distribution | # Confidence distribution
Not to be confused with Confidence interval.
In statistical inference, the concept of a confidence distribution (CD) has often been loosely referred to as a distribution function on the parameter space that can represent confidence intervals of all levels for a parameter of interest. Histori... | {"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": 31, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://gist.github.com/aih/f0370479669e3003b2a4 | Instantly share code, notes, and snippets.
# aih/mssqltoelastic.md Last active Aug 9, 2016
#Importing Data from MS SQL Server to Elasticsearch Adapted from the instructions for the jdbc importer here.
## MS SQL Server
2. Install Elasticsearch
3a) Install Cygwin Make sure to include the wget utility and an unzip ut... | {"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... |