url
string
text
string
date
timestamp[s]
metadata
string
https://www.aimsciences.org/article/doi/10.3934/proc.2013.2013.619
# American Institute of Mathematical Sciences 2013, 2013(special): 619-627. doi: 10.3934/proc.2013.2013.619 ## Fuzzy system of linear equations 1 Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara, Gujarat, India Received  September 2012 Revised  Marc...
2021-01-20T09:49:16
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://nforum.ncatlab.org/discussion/4398/variational-calculus/?Focus=36067
# Start a new discussion ## Not signed in Want to take part in these discussions? Sign in if you have an account, or apply for one below ## Discussion Tag Cloud Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support. • CommentRowNumber1. • CommentAuthorUrs • CommentTimeOct 16th ...
2021-09-28T04:22:47
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 8, "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.physicsforums.com/threads/electric-potential-and-energy.253864/
# Electric potential and energy 1. Sep 5, 2008 ### devanlevin 2 balls are held at a distance of 1m from each other and then released, what will each of their velocities be when they are 2m from one another m1=0.05 (kg) q1=6*10^-6 (c) m2=0.1 (kg) q2=5*10^-6 (c) what i tried was looking at each ball seperately ball1 ...
2017-10-20T22:57:05
{"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.gradesaver.com/textbooks/math/precalculus/functions-modeling-change-a-preparation-for-calculus-5th-edition/chapter-11-polynomial-and-rational-functions-exercises-to-skills-review-for-chapter-11-page-494/32
## Functions Modeling Change: A Preparation for Calculus, 5th Edition $\frac{a^2+b^2}{a^4b^2+a^2b^4}$ Since $\frac{a^2b^2}{a^2b^2}=1$, the expression can be multiplied to the original expression to get a simplified expression of $$=\frac{a^2b^2}{a^2b^2} \cdot \frac{a^{-2}+b^{-2}}{a^2+b^2}=\frac{a^2(a^{-2})b^2+b^2(b^{-...
2020-04-01T07:42:28
{"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://homnimal.com/pvckyl/fc8fbe-histogram-in-rstudio
provided the breaks are equally-spaced. The Data. Histogram divide the continues variable into groups (x-axis) and gives the frequency (y-axis) … The New S Language. the breaks value will be included in the first (or last, for These are the nominal breaks, not with the boundary fuzz. Other names for which algorithms Po...
2021-01-18T01:05:01
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cs.stackexchange.com/questions/64174/quantified-boolean-formula-vs-first-order-logic/64175
# Quantified Boolean Formula vs First-order logic Is Quantified Boolean Formula (QBF) the same as First-order logic (FOL)? • This question should probably be moved to Theoretical Computer Science stack, since it involves theoretical aspects of comparing two formal systems and theory of computability. Especially, sinc...
2020-04-08T10:52:47
{"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.gradesaver.com/textbooks/science/physics/college-physics-4th-edition/chapter-13-problems-page-496/1
## College Physics (4th Edition) (a) The temperature is $29^{\circ}C$ (b) The temperature is $302~K$ (a) We can convert the temperature to $^{\circ}C$: $C = \frac{5}{9}(F-32)$ $C = \frac{5}{9}(84-32)$ $C = 29^{\circ}C$ The temperature is $29^{\circ}C$ (b) We can convert the temperature to kelvins: $K = C+273$ $K = 29+...
2022-08-16T06:52:39
{"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://etheses.bham.ac.uk/id/eprint/1702/
# Metallated derivatives of ammonia borane with a view to their potential as hydrogen storage materials Evans, Ian Christopher (2011). Metallated derivatives of ammonia borane with a view to their potential as hydrogen storage materials. University of Birmingham. Ph.D. Preview Evans_11_PhD.pdf PDF ## Abstract Ammo...
2021-05-16T17:27:54
{"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.nag.com/numeric/nl/nagdoc_latest/flhtml/e04/e04tef.html
# NAG FL Interfacee04tef (handle_​set_​linobj_​coeff) ## ▸▿ Contents Settings help FL Name Style: FL Specification Language: ## 1Purpose e04tef is a part of the NAG optimization modelling suite and sets or modifies a single element in the linear objective function of the problem. ## 2Specification Fortran Inter...
2021-04-13T04:55:29
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 36, "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://books.compclassnotes.com/elementarycomputing/formal-notation/
Formal Notation The last step in this section is to formalise what we’ve been doing. This is useful because it helps us describe the precise steps that were taken in a reduction sequence, which is very valuable when we need to share our work with someone else. We’ve been using $$\beta$$ reductions for a while now, so...
2021-12-02T13:38:24
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://mathemerize.com/if-log_e-x-log_e-y-a-log_e-y-log_e-z-b-log_e-z-log_e-x-c-then-find-the-value-of-xover-yb-c-times-yover-zc-a/
# If $$log_e x$$ – $$log_e y$$ = a, $$log_e y$$ – $$log_e z$$ = b & $$log_e z$$ – $$log_e x$$ = c, then find the value of $$({x\over y})^{b-c}$$ $$\times$$ $$({y\over z})^{c-a}$$ $$\times$$ $$({z\over x})^{a-b}$$. ## Solution : $$log_e x$$ – $$log_e y$$ = a $$\implies$$ $$log_e {x\over y}$$ = a $$\implies$$ $$x\over ...
2022-07-03T04:37:45
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://studysoup.com/tsg/1712/physics-principles-with-applications-6-edition-chapter-7-problem-17pe
× Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 7 - Problem 17pe Get Full Access to Physics: Principles With Applications - 6 Edition - Chapter 7 - Problem 17pe × # (a) How much gravitational potential energy (relative to ISBN: 9780130606204 3 ## Solution for problem 17PE Chapter 7 ...
2022-06-28T14:33:18
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://crypto.stackexchange.com/questions/77575/do-hash-collisions-persist-if-a-file-is-modified
Do hash collisions persist if a file is modified? Suppose I use a relatively insecure hash algorithm to digitally sign a contract. Suppose also that creating a fraudulent contract with the same hash, a collision, is practical. As I understand, in order to take advantage of a hash collision, the black hat is required t...
2021-06-12T23:54:53
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.gradesaver.com/textbooks/math/geometry/elementary-geometry-for-college-students-5th-edition/chapter-1-section-1-6-relationships-perpendicular-lines-exercises-page-51/4
# Chapter 1 - Section 1.6 - Relationships: Perpendicular Lines - Exercises: 4 1. m$\angle$AOB=m$\angle$1 and m$\angle$BOC=m$\angle$1 2. m$\angle$AOB=m$\angle$BOC 3. $\angle$AOB≅$\angle$BOC 4. $\overline{OB}$ bisects $\angle$AOC #### Work Step by Step Statement 1 is given in the problem. Statement 2 can be proven usi...
2018-04-20T05:40:47
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://puzzling.stackexchange.com/questions/98977/alice-and-bob-play-a-game
# Alice and Bob play a game The rain was still falling and Alice and Bob were terribly bored of having to stay inside the caravan, so they decided to play a game. The game is that Alice chooses a number $$x$$ in the interval [1,n] (where Bob knows n), and Bob tries to guess x. For each of Bob's guesses, Alice tells Bo...
2022-12-07T19:54:39
{"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/341578/what-is-the-first-non-zero-digit-in-50-factorial-50/341780
# What is the first non zero digit in 50 factorial (50!)? What is the first non zero digit in 50 factorial (50!)? Any Help or hint will be appreciated. - its a 2 (counting form right to left, or a 3 = –  Dominic Michaelis Mar 26 '13 at 9:35 @DominicMichaelis: how to write the equivalent symbol in latex? i have an an...
2015-04-19T01:56:42
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www-old.newton.ac.uk/programmes/NAG/seminars/2009082709301.html
# NAG ## Seminar ### Torsion of abelian schemes and rational points on moduli spaces (joint work with Anna Cadoret) Tamagawa, A (Kyoto) Thursday 27 August 2009, 09:30-10:30 Seminar Room 1, Newton Institute #### Abstract We show the following result supporting the uniform boundedness conjecture for torsion of abel...
2014-09-03T00:00:18
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://mathhelpforum.com/advanced-algebra/183021-direct-sum-subspaces-question.html
# Math Help - Direct Sum of Subspaces - Question 1. ## Direct Sum of Subspaces - Question Let U and W be subspaces of V . Show that the following are equivalent: (i) for each vector $v \in V$ there exist unique vectors $u \in U$ and $w \in W$ such that v=u+w; (ii) dim V $\leq$ dim U + dim W and $U\cap W =$ {0}. I am...
2014-10-26T00:00:02
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 51, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://mathhelpforum.com/pre-calculus/170720-graph-y-x-5-2-2x-1-2-a.html
# Thread: Graph of y=x^(5/2) and -2x^(1/2) 1. ## Graph of y=x^(5/2) and -2x^(1/2) Any procedure or guidelines on how to sketch the graph y=x^(5/2) and -2x^(1/2)? I know how it looks like but i had no ideas on the proper procedure of drawing them. Any tips? Thanks. Sorry, its y=x^(1/3) and not y=x^(5/2)... ^^ 2. Try...
2016-08-29T21:40:22
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://eprint.iacr.org/2012/346
### Edwards model of elliptic curves defined over any fields Oumar DIAO and Emmanuel FOUOTSA ##### Abstract In this paper, we present an Edwards model for elliptic curves which is defined over any perfect field and in particular over finite fields. This Edwards model is birationally equivalent to the well known Edwa...
2022-07-04T15:37:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cs.stackexchange.com/questions/619/how-can-i-prove-this-language-is-not-context-free?noredirect=1
# How can I prove this language is not context-free? I have the following language $\qquad \{0^i 1^j 2^k \mid 0 \leq i \leq j \leq k\}$ I am trying to determine which Chomsky language class it fits into. I can see how it could be made using a context-sensitive grammar so I know it is atleast context-sensitive. It se...
2021-01-19T15:22:35
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://frix.bainsetcuisines.fr/python-affine-transform-point.html
Python Affine Transform Point pixel intensity values located at position in an input image) into new variables (e. Finally, I to apply an Affine transformation to a point, you can use art_affine_point. stats Python module provides a built-in Box-Cox Transform method, called boxcox. SetGeometry ( geom ) for i in range ...
2020-04-09T07:52:33
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/2516772/using-bayes-theorem-to-calculate-the-probability-of-a-coin-being-biased-given-a
# Using Bayes Theorem to calculate the probability of a coin being biased given a specific test result Suppose I have a bag full of coins (could be any amount). One of the coins has a bias 2/3 towards heads and all the rest are fair. A random coin is then picked from the bag and tossed 25 times (the same coin is tosse...
2019-05-23T13:29:19
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/2030738/centroid-of-a-spherical-triangle
# Centroid of a spherical triangle. I'm trying to find the centroid of a spherical triangle over a unit sphere centered at the origin. I have already seen that I can obtain the centroid of the planar triangle (which are formed by the three position vectors of the triangle vertices) and then project the vector to the s...
2020-01-22T20:25:30
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://multistatemodel.blogspot.com/2012/10/applying-competing-risks-regression.html
## Tuesday, 2 October 2012 ### Applying competing risks regression models: an overview Bernhard Haller, Georg Schmidt and Kurt Ulm have a new paper in Lifetime Data Analysis. This reviews approaches to building regression models for competing risks data. In particular, they consider cause specific hazard regression, ...
2018-06-25T15:30:05
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://openstudy.com/updates/55d8b4dae4b0a0d512707fa6
## anonymous one year ago ??? 1. IrishBoy123 by linear approximation, do you mean $$V = \frac{4}{3} \pi r^3$$, $$\Delta V = \frac{dV}{dr}\Delta r$$ ? 2. anonymous Would I derive the first one? 3. welshfella yes differentiate (4/3) pi r^3 which is the formula for the volume of the sphere 4. anonymous 4pir^2 5. ...
2017-01-21T09:08:35
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://myaptitude.in/cds/maths/in-the-figure-given-b-38-ac-bc-and-ad-cd
# In the figure given, ∠B = 38°, AC = BC and AD = CD In the figure given, ∠B = 38°, AC = BC and AD = CD. What is ∠D equal to? 1. 26° 2. 28° 3. 38° 4. 52° Triangle ABC is isosceles with AB as base ∠B = ∠BAC = 38° ∠ACD = 38° + 38° = 76° Triangle ACD is isosceles with AC as base ∠ACD = ∠CAD = 76° ∠D = 180° - 76° -...
2021-04-21T20:13:07
{"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://chemistry.stackexchange.com/questions/101389/doesnt-the-isothermal-irreversible-expansion-compression-of-an-ideal-gas-law-vi
# Doesn't the isothermal irreversible expansion/compression of an ideal gas law violate the ideal gas law? [closed] Let's say a cylinder has some ideal gas. We use a piston to suddenly expand the gas in isothermal condition from $1\ \mathrm{atm}$, $20\ \mathrm L$ to $0.5\ \mathrm{atm}$, $50\ \mathrm L$. Since the gas...
2019-07-17T06:55:01
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://nrich.maths.org/1784/index?nomenu=1
The four digits 5, 6, 7 and 8 are put at random in the spaces of the number below: 3 _ 1 _ 4 _ 0 _ 9 2 • Estimate the probability that the answer will be a multiple of 396.
2016-05-04T19:29:20
{"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/1873460/is-there-a-relationship-between-the-pullback-in-differential-geometry-and-that-i
# Is there a relationship between the pullback in differential geometry and that in category theory? 1. Is there a relationship between the pullback in differential geometry and the pullback in category theory? [2. Is there a relationship between the pushforward/pushout in differential geometry and the pushforward/pu...
2019-08-18T13:00:42
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://help.febio.org/FebioUser/FEBio_um_3-4-Section-4.5.html
Converted document $\newcommand{\lyxlock}{}$ Subsection 4.4.2: Unconstrained Viscoelastic Materials Up Chapter 4: Materials Subsection 4.5.1: Relaxation Functions ## 4.5 Reactive Viscoelastic Solid Reactive viscoelasticity models a material as a mixture of strong bonds, which are permanent, and weak bonds, which brea...
2021-09-24T09:40:26
{"extraction_info": {"found_math": true, "script_math_tex": 58, "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/ma...
http://mathhelpforum.com/advanced-algebra/220738-quotient-groups-cyclic-groups-print.html
# Quotient groups of cyclic groups • Jul 21st 2013, 02:38 PM phys251 Quotient groups of cyclic groups "G is a cyclic group with normal subgroup N. Show that G/N is cyclic." Not sure what to do here. I know that all subgroups of a cyclic group are also cyclic. But the quotient group is confusing me here. • Jul 21st 20...
2016-09-29T12:31:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://mathoverflow.net/revisions/30581/list
2 corrected typo Fix a prime number $p$. Suppose that I have a valuation $v_p: \mathbb{Q} \to \mathbb{Q}$ on the rationals $\mathbb{Q}$. That is, $v_p( p^n(\frac{a}{b})) = p^{-n}$ where each of $a,b$ is not divisible by $p$. How can I extend $v_p$ to $v$ on the reals $\mathbb{R}$ such that $v|_\mathbb{R} v|_\mathbb{Q...
2013-05-22T09:01:20
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://socratic.org/questions/identify-y-1
# Identify ‘Y’? Jun 10, 2018 #### Explanation: Step 1. Grignard reaction I m guessing that the starred $\text{O}$ in your starting material is a radio-labelled oxygen atom. The first step in the formation of $\text{X}$ is the Grignard reaction of a lactone (a cyclic ester) to give a tertiary alcohol and a phenol. ...
2019-05-21T20:35:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 4, "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://binfalse.de/2010/09/20/suffix-trees/
Suffix trees are an application to particularly fast implement many important string operations like searching for a pattern or finding the longest common substring. ## Introduction and definitions I already introduced the Z-Algorithm which optimizes the searching for a pattern by preprocessing the pattern. It is ver...
2018-10-24T05:59:37
{"extraction_info": {"found_math": true, "script_math_tex": 114, "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/m...
https://www.sangakoo.com/en/unit/intervals
# Intervals ## Bounded intervals We will call interval the set of numbers included between two given limits. If $$a$$ and $$b$$ are two real numbers such that $$a\leq b$$, the interval of endpoints $$a$$ and $$b$$ is the segment $$\overline{ab}$$, or, also, the set of numbers included between $$a$$ and $$b$$. If we...
2023-03-26T21:57:12
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://deepai.org/publication/adversarial-learning-of-a-sampler-based-on-an-unnormalized-distribution
# Adversarial Learning of a Sampler Based on an Unnormalized Distribution We investigate adversarial learning in the case when only an unnormalized form of the density can be accessed, rather than samples. With insights so garnered, adversarial learning is extended to the case for which one has access to an unnormaliz...
2020-10-25T01:55:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0603.05028
Language:   Search:   Contact Zentralblatt MATH has released its new interface! For an improved author identification, see the new author database of ZBMATH. Query: Fill in the form and click »Search«... Format: Display: entries per page entries Zbl 0603.05028 Brualdi, Richard A.; Solheid, Ernie S. On the spectral rad...
2013-06-20T09:09:14
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/questions/383587/find-the-maximum-likelihood-estimator-for-theta-when-fx-2-theta-2x-0-l
# Find the maximum likelihood estimator for $\theta$ when $f(x)=2\theta^{-2}x, 0\leq x \leq \theta$ Find the maximum likelihood estimator for $\theta$ when $f(x)=2\theta^{-2}x, 0\leq x \leq \theta$. This should be a really easy question but I somehow cannot seem to get the right answer. My likelihoodfunction is $\pro...
2015-05-29T14:32:39
{"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/95225-exact-differential-equation.html
# Thread: Exact Differential Equation 1. ## Exact Differential Equation need your help on this... 2xy dx + (y^2 - x^2) dy = 0 Answer: x^2 + y^2 = cy 2. It's also homogeneous, or you do need to solve it as a exact one? 3. That's not an exact equation unless it's $\displaystyle -2xydx +(y^{2}-x^{2}) dy =0$ or $\dis...
2018-04-21T18:25:53
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cran-r.c3sl.ufpr.br/web/packages/EGRETci/vignettes/Enhancements.html
# 1 Introduction This vignette documents a set of enhancements of the EGRETci software package. EGRET is “Exploration and Graphics for RivEr Trend” which has been developed my Robert M. Hirsch and Laura DeCicco of the U.S. Geological Survey. The EGRETci package contains functions that can be used to evaluate the uncer...
2022-01-17T22:12:10
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.findfilo.com/maths-question-answers/construct-a-2-times-2-matrix-a-a-ij-whose-elementstni
Construct a 2\times 2 matrix A = [a_{ij}], whose elements are give | Filo Class 12 Math Algebra Matrices 585 150 Construct a matrix , whose elements are given by . Solution: . 585 150 Connecting you to a tutor in 60 seconds.
2021-09-28T11:37:41
{"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://socratic.org/questions/a-chemical-engineer-studying-the-properties-of-fuels-placed-1-820-g-of-a-hydroca
# A chemical engineer studying the properties of fuels placed 1.820 g of a hydrocarbon in the bomb of a calorimeter and filled it with O2 gas. What was the heat of the reaction for the combustion per gram of the fuel? Jul 11, 2017 $21.597 \frac{\text{kJ}}{g}$ #### Explanation: Don't let the detail of the data frigh...
2019-12-10T13:10:28
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 6, "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.physicsforums.com/threads/inverse-cumulative-normal-dis-help.86750/
# Inverse cumulative normal dis help any one know how to solve for $$k$$ in the following question? $$Pr(X<k|X<23)=0.32$$ where $$X-N(22,25)$$. I just cant get it. P(X<k|X<23) = 1 if k >= 23 why?? if k<23, then P(X<k|X<23) = P(X<k)/P(X<23) why?? -- AI doesn't work out and they have the answer as 17.525 in book. ...
2021-11-27T18:41:42
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.aa.quae.nl/cgi-bin/glossary.cgi?l=en&o=right%20ascension
Astronomy Answers: From the Astronomical Dictionary # Astronomy AnswersFrom the Astronomical Dictionary $$\def\|{&}$$ The description of the word you requested from the astronomical dictionary is given below. the right ascension The right ascension is the coordinate from the equatorial coordinate system in the sky...
2019-05-24T10:53:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://phys.libretexts.org/Bookshelves/Particle_Physics/Book%3A_Nuclear_and_Particle_Physics_(Walet)/2%3A_A_History_of_Particle_Physics/2.03%3A_Earliest_Stages
$$\require{cancel}$$ The early part of the 20th century saw the development of quantum theory and nuclear physics, of which particle physics detached itself around 1950. By the late 1920’s one knew about the existence of the atomic nucleus, the electron and the proton. I shall start this history in 1927, the year in wh...
2019-11-12T18:39:53
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://ncas-cms.github.io/cf-python/method/cf.Field.derivative.html
# cf.Field.derivative¶ Field.derivative(axis, wrap=None, one_sided_at_boundary=False, inplace=False, i=False, cyclic=None)[source] Calculate the derivative along the specified axis. The derivative is calculated using centred finite differences apart from at the boundaries (see the one_sided_at_boundary parameter). I...
2023-02-08T13:21:55
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.mersenneforum.org/showpost.php?s=8efcf594b32ee4481013d4f7d2a61026&p=588128&postcount=2
View Single Post 2021-09-18, 23:44 #2 LarsNet   Mar 2021 22·11 Posts Since i posted something not so useful,i thought i'd share something interesting ( nothing new, just something old and interesting): If you run any mersenne number in the following equation, you will always get a bin of repeating 1's and 0's. Code: I...
2021-11-30T17:56:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://bookdown.org/marcogarofalo31/gm2/amu_W_c_continuum_cov.html
## 10.8$$a_{\mu}^{W}(c)$$ cov The continuum fit is done with the function $\begin{cases} a_{\mu}^{W}(eq,\ell)=P[0]+a^2P[1]+a^4P[3]\\ a_{\mu}^{W}(op,\ell)=P[0]+a^2P[2]+a^4P[4] \end{cases}$ $\begin{gather} \chi^2/d.o.f.=2.55781 \\ P[0]=2.95592e-10\pm (3.5e-12) \\ P[1]=1.03642e-08\pm (1.3e-09) \\ P[2]=6.72868e-09\pm (1....
2022-11-26T19:39:57
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://plainmath.net/precalculus/102572-how-to-evaluate-sin-3pi-2
esiLimelawcuu 2023-02-18 How to evaluate $\mathrm{sin}\left(\frac{3\pi }{2}\right)$? Julien Zavala Step $1$: Angle conversion from radians to degrees: $\frac{3\pi }{2}=\frac{3×\pi ×180}{\pi ×2}\frac{3\pi }{2}=270°$ $\mathrm{sin}\left(\frac{3\pi }{2}\right)=\mathrm{sin}\left(270°\right)$ Step $2$: Find the required ...
2023-03-22T15:24:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 12, "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.encyclopediaofmath.org/index.php?title=Semi-simple_endomorphism
# Semi-simple endomorphism semi-simple linear transformation, of a vector space $V$ over a field $K$ An endomorphism $\alpha$ of $V$ with the following property: For any $\alpha$-invariant subspace $W$ of $V$ there exists an $\alpha$-invariant subspace $W'$ such that $V$ is the direct sum of $W$ and $W'$. In other wo...
2019-02-20T17:23:37
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.physicsforums.com/threads/a-problem-with-euler-theorem.308024/
# A problem with Euler theorem ## Homework Statement i need to obtain the remainder of the divison $$2^{1000005}$$ divided by 55 ## Homework Equations Euler theorem $$2^{\phi (55)}=1 mod(55)$$ ## The Attempt at a Solution my problem is that applying Euler theorem i reach to the conclusion that the remainder is th...
2022-05-21T04:08:23
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/3089757/problem-with-solving-the-recurrence-relation-a-n-a-n-16a-n-230-for-n-ge
# Problem with solving the recurrence relation $a_n=a_{n-1}+6a_{n-2}+30$ for $n\geq2$, $a_0=0$, $a_1=-10$ My task: $$a_n=a_{n-1}+6a_{n-2}+30$$ for $$n\geq2$$, $$a_0=0$$, $$a_1=-10$$ My solution $$x^{2}-x-6$$ $$\Delta=25$$ $$x1=-2$$ $$x2=3$$ So I am gonna use following formula: $$a_n=ar^{n}+br^{n}$$ $$a_n=a*(-2)^...
2019-12-11T06:19:14
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://mathoverflow.net/questions/5833/symmetric-powers-tableau-and-wreath-products?sort=newest
# Symmetric Powers, Tableau and Wreath Products Let V and W be irreducible representations of $S_n$ and $S_m$ over a field of characteristic 0. Then the Littlewood-Richardson coefficients allow us to compute the isomorphism type of the induced $S_{n+m}$-module V⊗W↑. This induction comes from the inclusion $S_n\times ...
2014-10-20T08:45:58
{"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.besseiche.com/dog-with-hneyyg/9a66b7-identity-in-math
For example, the additive identity is 0 since x … identity property for addition The identity property for addition dictates that the sum of 0 and any other number is that number. What is identity? And we know this identity crisis, like so much else in our K-12 system, will disproportionately (f) means that a noun is...
2021-05-16T07:08:44
{"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://tex.stackexchange.com/questions/578979/underline-text-with-setex-style?noredirect=1
# Underline text with === (SETEX style) I'm trying to recreate the typewriter look. How to make \underline{sometext} work like SETEX-style section marker? The intended use is with monospaced/typewriter fonts for lines with plenty of space beneath them (like section headings). Illustration of desired effect below. ...
2021-07-30T19:56:25
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://gateoverflow.in/93953/gate-cse-1988-question-2xb?show=360272
# GATE CSE 1988 | Question: 2xb 1.5k views State any undesirable characteristic of the following criteria for measuring performance of an operating system: Waiting time recategorized “Waiting time” is one of the metric for deciding the schedule of processes. If the OS tries to minimize the average waiting time of ...
2021-05-11T09:36:59
{"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.heatonresearch.com/aifh/vol3/multi_layer.html
# AIFH Volume 3, Chapter 4: Multi Layer Network ## Calculations The sigmoid function is calculated following formula. $$S(t) = \frac{1}{1 + e^{-t}}.$$ Enter input and weight values to see the calculations.
2022-12-05T02:08:28
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/1031887/do-i-use-induction-or-is-there-another-way-to-prove-binomrr-binomr1r?noredirect=1
# Do I use induction or is there another way to prove $\binom{r}{r}+\binom{r+1}{r}+\cdots+\binom{n}{r}=\binom{n+1}{r+1}$? [duplicate] Prove the following statement is true: $$\binom{r}{r}+\binom{r+1}{r}+\cdots+\binom{n}{r}=\binom{n+1}{r+1}$$. Since $\binom{r}{r}=\binom{n}{r}=\dfrac{n!}{r!(n-r)!}$, is that to form a b...
2019-07-24T07:24:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://mikesmathpage.wordpress.com/2018/08/25/
# Introducing the basic ideas behind quadratic reciprocity to kids We are heading out for a little vacation before school starts and I wanted a gentle topic for today’s project. When I woke up this morning the idea of introducing the boys to quadratic reciprocity jumped into my head. The Wikipedia page on the topic ga...
2022-06-29T00:42:31
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://deepai.org/publication/simple-robust-and-optimal-ranking-from-pairwise-comparisons
# Simple, Robust and Optimal Ranking from Pairwise Comparisons We consider data in the form of pairwise comparisons of n items, with the goal of precisely identifying the top k items for some value of k < n, or alternatively, recovering a ranking of all the items. We analyze the Copeland counting algorithm that ranks ...
2021-09-18T22:12:28
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://mailman.ntg.nl/pipermail/ntg-context/2015/082915.html
# [NTG-context] Numbering subformulas Procházka Lukáš Ing. - Pontex s. r. o. LPr at pontex.cz Mon Aug 3 17:47:46 CEST 2015 Hello, some more observation: It seems (sub)numbering (sub)formulas can be achieved enclosing expressions into \start/\stop-align. I wrote a code based on a test suite file: ...\test\doc\cont...
2022-05-16T05:08:57
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://sciencing.com/calculate-elevated-water-storage-tanks-5858171.html
How to Calculate Pounds Per Square Inch in Elevated Water Storage Tanks ••• marekuliasz/iStock/GettyImages Print To calculate the pressure at the bottom of your elevated water storage tanks in pounds per square inch is important in many applications, but easy enough to do. You can work this out with a simple rule: 1 ...
2021-01-25T17:39:31
{"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://minjinnews.com/contact-bren-nenziz/da98f5-questions-on-gravitation-for-class-11
# questions on gravitation for class 11 These important questions of gravitation will play significant role in clearing concepts of Physics class 11 as well as in revision of 12th students. This question bank is designed by NCERT keeping NCERT in mind and the questions are updated with respect to … Here is an insightf...
2021-02-25T19:47:46
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/questions/182360/trouble-with-representing-power-series-as-polynomials
# Trouble with representing power series as polynomials. I am a math student trying to wrap my head around complex analysis through self-study. I am using Complex Analysis by Serge Lang, but I find myself struggling with some of his power series manipulations and his representations of power series as polynomials. For...
2014-12-20T06:46:11
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://dgorthi.github.io/projects/
Projects Fast Fourier Transform Correlators January 2018 - Present A correlator is the signal processing pipeline that forms the backend of any array of radio antennas built for astronomy. In a radio interferometer, an image of the sky is reconstructed from cross-products of antenna voltages called visibilities. A c...
2021-05-07T18:59:10
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://phys.libretexts.org/Core/Quantum_Mechanics/Fowler's_Quantum_Mechanics/2%3A_Essential_Math/Functions_of_a_Complex_Variable%3A_Contour_Integration_and_Steepest_Descent
$$\require{cancel}$$ # Functions of a Complex Variable: Contour Integration and Steepest Descent ### Analytic Functions Suppose we have a complex function $$f=u+iv$$ of a complex variable $$z=x+iy$$, defined in some region of the complex plane, where u, v, x, y are real. That is to say, $\large f(z)=u(x,y)+iv(x,y)$...
2017-01-21T13:21:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://wordpandit.com/data-interpretation-level-3-set-25/
Select Page Direction for questions 1 to 5: Answer the questions based on the following information Question 1 : The average profit made in the given 7 years is approximately a. Rs. 44 lakh b. Rs. 42 lakh c. Rs. 61 lakh d. Rs. 56 lakh Question 2 : The expenditure for the 7 years together form what per cent of the re...
2020-08-04T23:13:40
{"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://vinafree.net/exercise-set-1-1-number-4/
You & maths Exercise Set 1.1 – No. 4 4. Write down the augmented matrix for each of the linear systems in Exercise Set 1.1 – Number 3. a) The augmented matrix of the system: $\large&space;{\color{blue}&space;\begin{matrix}&space;a_{11}x_1&space;\:&space;+&space;\:&space;a_{12}x_2&space;\:=&space;b_1&space;\\&space;...
2020-04-01T04:01:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://stacks.math.columbia.edu/tag/07EU
Lemma 16.2.8. Let $R \to A \to \Lambda$ be ring maps with $A$ of finite presentation over $R$. Assume that $H_{A/R} \Lambda = \Lambda$. Then there exists a factorization $A \to B \to \Lambda$ with $B$ smooth over $R$. Proof. Choose $f_1, \ldots , f_ r \in H_{A/R}$ and $\lambda _1, \ldots , \lambda _ r \in \Lambda$ suc...
2023-03-29T17:07:38
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://tophat.com/marketplace/science-&-math/physics/textbooks/oer-openstax-astronomy-openstax-content/1200/34524/
# OpenStax: Astronomy Source: OpenStax Student Price: FREE # 16.4 The Solar Interior: Observations ### Learning Objectives ​By the end of this section, you will be able to: • ​Explain how the Sun pulsates • Explain what helioseismology is and what it can tell us about the solar interior • Discuss how studying neu...
2020-09-19T05:30:55
{"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...
https://hal.science/hal-01900209
On the quantum field theory of the gravitational interactions - Archive ouverte HAL Access content directly Journal Articles Journal of High Energy Physics Year : 2017 ## Sur la théorie quantique des champs des interactions gravitationnelles Damiano Anselmi • Function : Author • PersonId : 1037800 #### Abstract We ...
2023-03-29T08:14:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/2269679/integrable-function-which-limit-does-not-go-to-0-for-x-to-infinity
# Integrable function which limit does not go to 0 for x to infinity I want to find a function, such that the function shall be $$p$$-integrable in the sense of $$\int_{\mathbb{R}}|f(x)|^pdx<\infty$$ for any $$p\in[1,\infty)$$ and that this does NOT imply $$\lim_{x\to\infty}f(x)=0$$. Now it's similar to the question ...
2019-06-18T17:11:31
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.brightstorm.com/math/precalculus/polar-coordinates-and-complex-numbers/lines-in-polar-coordinates-problem-3/
# Lines in Polar Coordinates - Problem 3 1,677 views I've got this circle x² plus y² equals 4, and a tangent line drawn to it at the point negative root 3,1. Let's answer the following questions. We want to find first our polar coordinates of point P. Well, one thing I can see about P right away is that, it's on this...
2014-04-25T00:34:32
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://mathhelpforum.com/calculus/3011-need-help-please.html
Solve the initial value problem dy/dx = (x – 4)^4 where y(1) = 1. 2. Originally Posted by bobby77 Solve the initial value problem dy/dx = (x – 4)^4 where y(1) = 1. The fundamental theorem of calculus tells us that all the functions whose derivative is $(x-4)^4$ are of the form: $ y(x)=\int_0^x (u-4)^4 du + C $ So to...
2017-04-30T08:33:50
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cran.microsoft.com/snapshot/2020-01-20/web/packages/inctools/vignettes/Introduction.html
Overview of Incidence Estimation Package inctools Introduction The inctools package is broadly conceived to provide state of the art functionality to support numerous aspects of population level incidence surveillance. Estimating incidence in formally constituted study cohorts is conceptually straightforward and not ...
2022-08-10T03:40:16
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://ftp.aimsciences.org/article/doi/10.3934/dcds.2011.30.1191
Article Contents Article Contents # New entropy conditions for scalar conservation laws with discontinuous flux • We propose new Kruzhkov type entropy conditions for one dimensional scalar conservation law with a discontinuous flux. We prove existence and uniqueness of the entropy admissible weak solution to the corr...
2023-04-01T21:05:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://tasbolat.com/projects/convex_optim_TMECH2017/
This paper introduces a new framework for the closed-loop orientation control of spherical parallel manipulators (SPMs) based on the online solution of a convex optimization problem. The aim of solving a constrained optimization problem is to define a reference position for the SPM that remains as close as possible to ...
2023-03-27T22:31:37
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.physicsbootcamp.org/The-Wheatstone-Bridge.html
## Section36.6The Wheatstone Bridge Perhaps the most famous bridge circuit is the Wheatstone bridge, which is used to measure resistances accurately. The Wheatstone bridge circuit, shown in Figure 36.6.1, consists of four resistors connected to form a quadrilateral. One of the sides of the quadrilateral contains the ...
2023-03-20T12:51:04
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://atomsandsporks.com/2018/08/22/the-saga-of-light-part-3-invisible-bones-invisible-beads-and-why-mirrors-arent-white/?like_comment=12&_wpnonce=a2ec26bf22
The Saga of Light, Part 3: Invisible Bones, Invisible Beads and Why Mirrors Aren’t White Welcome back to our ongoing series of posts on light. Now, I’m going to be honest and say that this entry may, for some, be a little drier. We’re at a very natural point in our “Saga of Light” where we can start discussing what ha...
2022-08-15T08:57:23
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 40, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://www.mathynomial.com/problem/278
# Problem #278 278 A wooden cube, whose edges are one centimeter long, rests on a horizontal surface. Illuminated by a point source of light that is $x$ centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. The area of a shadow, which does not include the area beneath the cube...
2018-06-19T23:55:11
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.jobilize.com/online/course/10-6-electrolysis-electrochemistry-by-openstax?qcr=www.quizover.com&page=2
# 10.6 Electrolysis  (Page 3/7) Page 3 / 7 $Q=I\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}t=n\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}F$ Where t is the time in seconds, n the number of moles of electrons, and F is the Faraday constant. Moles of electrons can be used in stoichiometry proble...
2021-05-18T15:23:09
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 19, "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/reciprocals-by-2/
# Reciprocals by 2 For integers $$n \geq 2$$, $\frac{1}{n-1} + \frac{1}{n+1} = \frac{p}{q},$ where $$p$$ and $$q$$ are positive coprime integers. Is $$p^2 + q^2$$ a perfect square? ×
2017-03-23T04:33:46
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://en.wikipedia.org/wiki/Liquid_water_path
# Liquid water path Liquid water path - in units of [g/m²] is a measure of the total amount of liquid water present between two points in the atmosphere.[1] LWP is an important quantity in understanding radiative transfer in the atmosphere. It is defined as the integral of liquid water content between two points in t...
2019-08-19T21:00:37
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "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://calculus7.org/2015/08/07/rough-isometries/
# Rough isometries An isometry is a map ${f\colon X\rightarrow Y}$ between two metric spaces ${X,Y}$ which preserves all distances: ${d_Y(f(x),f(x')) = d_X(x,x')}$ for all ${x,x'\in X}$. (After typing a bunch of such formulas, one tends to prefer shorter notation: ${|f(x)f(x')| = |xx'|}$, with the metric inferred from...
2017-05-28T01:01:32
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 57, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://socratic.org/questions/how-do-you-use-the-pythagorean-theorem-to-find-the-missing-side-of-the-right-tri-3
# How do you use the Pythagorean Theorem to find the missing side of the right triangle with the given measures given c is the hypotenuse and we have a=3 c=4? Feb 28, 2016 $\sqrt{7}$ #### Explanation: Consider the diagram: Use Pythagoras theorem ${a}^{2} + {b}^{2} = {c}^{2}$ Where $c$ is the Hypotenuse So, $\r...
2020-08-08T03:50:11
{"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.ck12.org/tebook/Algebra-I-Teacher's-Edition/r1/section/9.3/
<meta http-equiv="refresh" content="1; url=/nojavascript/"> You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Teacher's Edition Go to the latest version. # 9.3: Special Products of Polynomials Difficulty Level: At Grade Created by: CK-12 ## Learning Objectives At the end of this lesson, s...
2015-05-22T10:52:12
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/1866136/what-is-the-simplest-example-of-the-tame-representation-type
# What is the simplest example of the tame representation type? What is the simplest example of the tame representation type? I tried to find simple example could help me to understand the tame representation type. I know the definition of tame is like: A finite dimensional algebra $A$ over algebraically closed fie...
2019-10-22T14:03:39
{"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://aias.us/blog/2013/11/29/2538-relativistic-corrections-to-esr-in-the-operator-representation/
# 253(8): Relativistic Corrections to ESR in the Operator Representation These give the two resonance frequencies (21) and (22) which can be worked out for the hydrogenic orbitals by computer algebra. These are very interesting corrections to ESR and as far as I know, completely original to this work. They depend on t...
2019-11-21T14:21:33
{"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://mathhelpboards.com/threads/integrate-hyperbolic-sine.199/
# integrate hyperbolic sine #### bowlbase ##### New member integrate Sinh4(x) I have been struggling with this problem for a week. I know the answer because of wolfram but I cannot see how it gets it. Honestly, I can't even decide what to make my substitution as. I haven't really had problems with any other question...
2022-01-17T09:20:30
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.taylorfrancis.com/books/9780429075711/chapters/10.1201/b18403-18
chapter  11 Linear Groups and Groups of Isometries Pages 62 In this chapter we study certain subgroups of the group of units GL(V ) in the algebra L(V, V ) where V is an n-dimensional vector space over a field F. In the first section we consider the normal group SL(V ) of GL(V ) consisting of those operators of determ...
2019-11-17T09:49:30
{"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://scicomp.stackexchange.com/questions/38939/astrophysics-context-introduction-of-a-factor-delta-ell-when-summing-equal
# Astrophysics context : Introduction of a factor $\Delta\ell$ when summing equal distants $C_\ell$ I have the following formula which is the error on a $$C_\ell$$ : $$\sigma_(C_{\ell})=\sqrt{\frac{2}{(2 \ell+1)\Delta\ell}}\,C_{\ell}\quad(1)$$ where $$\Delta\ell$$ is the width of the multipoles bins used when comput...
2021-11-27T17:30:12
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.acmerblog.com/hdu-4315-climbing-the-hill-7326.html
2015 05-23 # Climbing the Hill Alice and Bob are playing a game called "Climbing the Hill". The game board consists of cells arranged vertically, as the figure below, while the top cell indicates the top of hill. There are several persons at different cells, and there is one special people, that is, the king. Two per...
2017-07-21T04:33:57
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cs.stackexchange.com/questions/38480/time-complexity-of-recursive-defined-code
# Time-complexity of recursive defined code [duplicate] How would I set up a recursive formula for time-complexity for this code: int b(int n, int x) { int erg = x; if (n>1) { for (int i = 1; i <= n; i++) { erg = erg+i; } for (int k=0; k<3; k++) { erg = erg + b(n/3,erg/9); } } return erg; } Is my assumption correct...
2019-12-15T19:24:21
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://stats.stackexchange.com/questions/441355/variable-is-not-statistically-significant-in-single-variable-linear-regression-b
# Variable is not statistically significant in single variable linear regression but is significant in multiple regression I had a friend ask me about this question, and I'm not 100% sure about the data she's using due to the sensitivity/privacy of the data (other than it's medical data). Sorry for not providing conte...
2021-04-15T05:58:03
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "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/1965350/a-tricky-determinant-proof-using-its-properties
# A tricky Determinant proof using its properties. I have the following determinant : Row1: (-2a) (a+b) (a+c) Row2: (a+b) (-2b) (b+c) Row3: (a+c) (b+c) (-2c) I need to prove that the determinant equals 4(a+b)(b+c)(c+a). I have tried using all the standard determinant properties, but I wasn't able to arrive at the...
2019-08-22T09:40:03
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://novo.cognitiva-ti.com.br/viewtopic/archive.php?35f626=introduction-to-matrices-ppt
2. Later we will abandon expressions such as (1.2)infavor of more compact and more general notations. Introduction to Matrices. 1.1 Matrices Equal matrices •Two matrices A = [at..] and B = are said to be equal (A = B) iff each element of A is equal to the corresponding element of B, i.e., b for 1 i m, 1 j n. •iffpr...
2021-05-11T15:47:48
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://astronomy.stackexchange.com/questions/39167/why-doesnt-sunrise-shift-as-we-revolve-around-the-sun-ignoring-seasonal-variat?noredirect=1
Why doesn't sunrise shift as we revolve around the sun (ignoring seasonal variations - so at the equator) [duplicate] If the Earth rotates at a constant speed why doesn't sunrise change as we orbit the Sun? For example if viewing the Earth's orbit from above at time N let's assume the Earth is at the 3 'o' clock posi...
2021-09-17T13:19:46
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://math.stackexchange.com/questions/94359/need-help-deriving-recurrence-relation-for-even-valued-fibonacci-numbers
# Need help deriving recurrence relation for even-valued Fibonacci numbers. That would be every third Fibonacci number, e.g. $0, 2, 8, 34, 144, 610, 2584, 10946,...$ Empirically one can check that: $a(n) = 4a(n-1) + a(n-2)$ where $a(-1) = 2, a(0) = 0$. If $f(n)$ is $\operatorname{Fibonacci}(n)$ (to make it short), ...
2015-09-05T17:02:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://codeforces.com/problemset/problem/768/E
E. Game of Stones time limit per test 3 seconds memory limit per test 256 megabytes input standard input output standard output Sam has been teaching Jon the Game of Stones to sharpen his mind and help him devise a strategy to fight the white walkers. The rules of this game are quite simple: • The game starts with n ...
2019-10-18T15:22:45
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...