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https://mersenneforum.org/showthread.php?s=63fe71e53668534ba386c9b3a3219dd0&t=18421&page=35 | mersenneforum.org Reserved for MF - Sequence 3408
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2016-10-23, 17:02 #375 henryzz Just call me Henry "David" Sep 2007 Cambridge (GMT/BST) 16BA16 Posts The Bayesian tool will often ask for more ecm. The higher bounds mean a higher chance of finding a factor overal... | 2021-02-25T05:52:48 | {"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": 0, "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/144933/environment-aligned-undefined-when-trying-to-write-a-system-of-equations | # Environment aligned undefined when trying to write a system of equations
I'm trying to write a system of equations in LaTeX. From the Wiki page Advanced Mathematics I took this example:
\left.\begin{aligned} B'&=-\partial \times E,\\ E'&=\partial \times B - 4\pi j, \end{aligned} \right\} \qquad \text{Maxwell's equa... | 2019-06-19T04:46:47 | {"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": 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/2391048/understanding-th-proof-of-hatcher-1-2-11 | Understanding th proof of Hatcher 1.2.11
I am working on this problem:
The mapping torus $T_f$ of a map $f : X → X$ is the quotient of $X×I$ obtained by identifying each point $(x,0)$ with $(f(x),1)$. In the case $X = S_1∨S_1$ with $f$ basepoint-preserving, compute a presentation for $π_1(T_f)$ in terms of the induce... | 2022-08-15T04:40:34 | {"extraction_info": {"found_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://itprospt.com/num/14775756/a-clinical-psychologist-wants-to-know-if-mindfulness-traininghelps | 5
# A clinical psychologist wants to know if mindfulness traininghelps alleviate depression in a sample of n = 36 individuals. Ifthe average depression score is μ = ...
## Question
###### A clinical psychologist wants to know if mindfulness traininghelps alleviate depression in a sample of n = 36 individuals. Ifthe... | 2022-08-19T11:25:24 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://informationtransfereconomics.blogspot.com/2016/05/recognizing-complexity-by-inspection.html | ## Monday, May 16, 2016
### Recognizing complexity by inspection
Eric Liu (speechwriter) and Nick Hanauer (business person) have a new article at Evonomics that is an excerpt from their book The Gardens of Democracy. Obviously, they have the requisite skills to identify a complex nonlinear system by inspection:
Tradi... | 2017-09-23T21:48:44 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://par.nsf.gov/biblio/10304424-measurement-masses-widths-baryons | This content will become publicly available on September 1, 2022
Measurement of the masses and widths of the $Σc(2455)+$ and $Σc(2520)+$ baryons
Authors:
; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »
Award ID(s):
Publication Date:
NSF-PAR ID:
10304424
Journal Name:
Physical Review D
Volume:
104
Issue:
5
ISSN:
2470-0010 | 2022-06-26T21:12:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 17, "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://eight2late.wordpress.com/2017/02/23/a-prelude-to-machine-learning/ | Eight to Late
Sensemaking and Analytics for Organizations
A prelude to machine learning
What is machine learning?
The term machine learning gets a lot of airtime in the popular and trade press these days. As I started writing this article, I did a quick search for recent news headlines that contained this term. Her... | 2019-06-18T06:35:59 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nobigons.com/category/mathematics/ | # Category: mathematics
## The wrangler’s insecurity.
[This is my third post on Newton. Previous posts: one and two.]
If you were to take a look around you during a math department seminar or colloquium, you would witness the audience’s attention begin to drift as the talk sunk further into detail and became increas... | 2021-09-27T07:06:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/117303/how-to-show-that-lim-p-to-0-fracpe2tp1-e2tp1-p-12t-k | # How to show that $\lim_{p\to 0}\frac{pe^{2tp}}{1-e^{2tp}(1-p)}=(1+2t)^{-k}$
How would I find the following limit? I am thinking I might need to do a Taylor expansion of the exponentials but it hasn't worked out nicely. Thanks for the help.
$$\lim_{p\to 0} \left( \frac{pe^{2tp}}{1-e^{2tp}(1-p)} \right)^k$$
The answ... | 2016-06-25T16:20:01 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/13325/if-i-is-the-identify-matrix-of-order-2-and-a-begin-1-1-0-1-end-then-for-n-g | Browse Questions
# If I is the identify matrix of order 2 and $A= \begin {bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$, then for $n \geq 1$, mathematical induction gives
$\begin {array} {1 1} (a)\; A^n=nA-(n-1)I & \quad (b)\;A^n=nA+(n-1)I \\ (c)\;A^n=2^n A -(n+1)I & \quad (d)\;A^n=2^{n-1}A-(n-1)I \end {array}$
Can you answ... | 2017-03-31T00:33:51 | {"extraction_info": {"found_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... |
http://h2.jaguarpaw.co.uk/posts/strictness-in-types/ | # Reflecting strictness in Haskell types
In GHC, from the operational point of view, the type Int does not indicate a bit pattern somewhere in memory that represents an integer. What it indicates is either an integer bit pattern or a “thunk” (a delayed computation) which can be “forced” (run). When and if the computat... | 2021-10-23T12:29:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/polynomial-conditions-in-2015/ | # Polynomial Conditions in 2015
Algebra Level 4
True or False?
There exists a polynomial $f(x)$ with integer coefficients such that $f(20) = 15$ and $f(15) = 9$.
× | 2021-08-06T02:50:25 | {"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://pwntestprep.com/wp/tag/plug-in/page/4/ | ## Posts tagged with: Plug In
It almost never fails when I’m working with a new student that the first time a question involving remainders rears its ugly head, we need to spend some time talking about what remainders are and how to find them. This happens fairly early in the process with me, intentionally. I always s... | 2019-07-20T19:44:20 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://plainmath.net/26282/express-product-linear-quadratic-polynomials-coefficients-irreducible | # Express f (x) as a product of linear and quadratic polynomials with real coefficients that are irreducible over R. -1,0,3+i. degree 4
A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and degree. Express f (x) as a product of linear and quadratic polynomials with real coeffici... | 2021-12-04T14:19:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dantopology.wordpress.com/2014/02/28/weakly-lindelof-spaces/ | # Weakly Lindelof spaces
The weakly Lindelof property is a natural weakening of the familiar Lindelof property. In this post, we discuss some of the basic properties of weakly Lindelof spaces.
We consider topological spaces that are at least $T_1$ (i.e. finite sets are closed) and regular. A space $X$ is said to be L... | 2018-06-22T09:14:39 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 229, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://rmylf.org/library-sentence-jxh/the-invisible-hand%27%27-refers-to-the-78e21f | The reason for this is that self-interest drives actors to beneficial behavior in a case of serendipity. Kennedy, Gavin. {\displaystyle {\frac {dR}{dt}}={\frac {d{\bar {x}}}{dt}}\cdot t+(\sum \pi _{z}^{f}{\frac {dz^{f}}{dt}}-\sum E_{z}^{h}{\frac {dz^{h}}{dt}})={\frac {d{\bar {x}}}{dt}}\cdot t+(\Pi ^{t}-B^{t})}. ( z 40)... | 2021-04-15T10:27:03 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://puzzling.stackexchange.com/questions/6372/multiple-choice-puzzle/6373 | # Multiple Choice Puzzle
What are the chances of getting this correct if you pick at random?
1. 1/4
2. 1/2
3. 1/3
4. 1/4
Note; This DOES have a correct, demonstrable answer!
• Is it uniformly random among the choices? What does right mean?
– xnor
Dec 24, 2014 at 3:25
• This is meant to be a mathematically stated pr... | 2022-08-17T05:32:09 | {"extraction_info": {"found_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://eccc.weizmann.ac.il/keyword/19121/ | Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > KEYWORD > LIFT AND PROJECT:
Reports tagged with Lift and Project:
TR16-017 | 24th December 2015
Georgios Stamoulis
#### Limitations of Linear Programming Techniques for Bounded Color Matchings
Given a weighted graph $G = (V,E,w)$, with wei... | 2020-12-01T06:29:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.aimsciences.org/article/doi/10.3934/proc.2015.0826 | # American Institute of Mathematical Sciences
2015, 2015(special): 826-834. doi: 10.3934/proc.2015.0826
## Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation
1 Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples
Received... | 2019-11-16T01:42:42 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/4f297de0e4b049df4e9dbe84 | ## anonymous 4 years ago Two 10-cm-long thin glass rods uniformly charged to + 10\;{\rm nC} are placed side by side, 4.0 cm apart. What are the electric field strengths E_1, E_2, and E_3 at distances 1.0 cm, 2.0 cm, and 3.0 cm to the right of the rod on the left, along the line connecting the midpoints of the two rods?... | 2017-01-17T13:31:57 | {"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.aimsciences.org/article/doi/10.3934/era.2020106?viewType=html | # American Institute of Mathematical Sciences
doi: 10.3934/era.2020106
## The global supersonic flow with vacuum state in a 2D convex duct
School of Mathematical Sciences and Mathematical Institute, Nanjing Normal University, Nanjing 210023, China
* Corresponding author: Gang Xu
Received June 2020 Revised Augus... | 2020-10-25T03:10:42 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/trigonometry/CLONE-68cac39a-c5ec-4c26-8565-a44738e90952/chapter-4-quiz-sections-4-1-4-2-page-164/1 | ## Trigonometry (11th Edition) Clone
The amplitude is $4$, the period is $\pi$, thevertical translation is $3$ units up since $c$ is more than zero and the phase shift is $\frac{\pi}{4}$ units to the left since $d$ is less than zero.
We first write the equation in the form $y=c+a \sin [b(x-d)]$. Therefore, $y=3-4\sin(... | 2020-12-01T00:10:20 | {"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... |
http://planetcalc.com/938/ | Get reference code
Appearance
Sample
ProfessionalEngineering
# Altitude Pressure
##### This calculator uses barometric formula to find out the pressure at the given altitude
Timur2010-07-30 15:23:29
The equation for the variation of barometric pressure with height, called barometric formula, has the form
$P=P_0e^{\fr... | 2015-04-01T16:31:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 7, "/images/mat... |
https://socratic.org/questions/how-do-you-find-all-the-critical-points-to-graph-4x-2-9y-2-36-0-including-vertic | # How do you find all the critical points to graph -4x^2 + 9y^2 - 36 = 0 including vertices, foci and asymptotes?
Feb 16, 2018
The center is located at the origin, vertices at $\left(0 , 2\right)$ and $\left(0 , - 2\right)$, and foci at $\left(0 , 3.6\right)$ and $\left(0 , - 3.6\right)$; the slopes of the asymptotes... | 2019-05-20T11:22:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 37, "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://nbviewer.jupyter.org/github/nborwankar/LearnDataScience/blob/master/notebooks/A2.%20Linear%20Regression%20-%20Data%20Exploration%20-%20Lending%20Club.ipynb | # Linear Regression Data Exploration: Lending Club¶
### How can I predict interest rates based on borrower and loan attributes?¶
The Lending Club is a peer-to-peer lending site where members make loans to each other. The site makes anonymized data on loans and borrowers publicly available. We're going to use these da... | 2019-12-09T01:47:22 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://goprep.co/an-aircraft-traveling-at-600-km-h-accelerates-steadily-at-10-i-1njhpl | # An aircraft traveling at 600 km/h accelerates steadily at 10 km/h per second. Taking the speed of sound as 1100 km/h at the aircraft’s altitude, how long will it take to reach the ‘sound barrier’?
According to the Question,We have:-
Initial velocity, u = 600 km/h (Given)
Final velocity, v = 1100 km/h(Given)
Accel... | 2020-10-21T02:25:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://news.schoolsdo.org/2016/03/algebra-1-parcc-question-graph-of-function/ | Sunday, September 27, 2020
# Algebra 1 PARCC question: graph of function
#### The following multiple-choice question, explained here in hopes of helping algebra students in Maryland and Illinois prepare for the PARCC test near the end of this school year, appears on the released version of PARCC’s Spring 2015 test in... | 2020-09-27T15:56:39 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/78728/thought-experiment-for-evaluating-total-energy | # Thought experiment for evaluating total energy
Atomization Energy ΔHat is the energy required to disintegrate a molecule into isolated atoms that are infinitely away from each other. The question is about atomization energy and its relation to the total energy (E) in Schrodinger equation (Eψ=Hψ).
If we disintegrate... | 2020-11-29T20:14:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/276602/if-free-space-impedance-is-real-why-is-the-electric-field-not-attenuated | # If free space impedance is real, why is the electric field not attenuated?
Why does vacuum have a nonzero characteristic impedance towards electromagnetic radiation? Intrinsic impedance given by $\eta=\sqrt{j\omega\mu / (\sigma +j \omega \epsilon)}$. It gives slope of transformation of $\mathbf E$ to $\mathbf H$ and... | 2021-08-03T18:32:47 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.citeulike.org/user/AndreiZh/article/11930670 | CiteULike is a free online bibliography manager. Register and you can start organising your references online.
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# Scanning tunneling microscopy of defect states in the semiconductor $\mathrmBi_2\mathrmSe_3$
Physical Review B, Vol. 66 (Oct 2002), 161306, doi:10.1103/physrevb.66.161306 Key: citeulike:11930670
## ... | 2013-05-24T02:33:15 | {"extraction_info": {"found_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/3068430/possible-orders-of-trace-k-elements-in-sl-2-mathbb-f-q | # Possible orders of trace k elements in $SL_2(\mathbb F_q)$
As a continuation of this question I would like to ask about possible orders of trace $$k$$ elements in $$SL_2(q)$$. Here are examples which I know.
When trace is zero then we have $$x^2=-1$$ so it means that order of $$x$$ is $$2$$ in characteristic $$2$$ ... | 2019-01-18T05:49:35 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1869797/number-of-true-relations-of-the-form-a-subseteq-b-where-a-b-in-mathcalp-1 | # Number of true relations of the form $A\subseteq B$ where $A,B\in\mathcal{P}(\{1,2,\ldots,n\})$
I just started "Introduction to Topology and Modern Analysis" by G.F. Simmons and came across this problem in the exercises.
Q. Let $U=\{1,2,\ldots,n\}$ for an arbitrary positive integer $n$. If $A$ and $B$ are arbitrary... | 2019-12-15T15:55:48 | {"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://www.techscience.com/mcb/v6n2/28481 | Open Access
ARTICLE
A Theoretical Model for Simulating Effect of Parathyroid Hormone on Bone Metabolism at Cellular Level
Yanan Wang, Qing-Hua Qin, Shankar Kalyanasundaram
* Department of Engineering, Australian National University, Canberra, ACT 0200, Australia
Molecular & Cellular Biomechanics 2009, 6(2), 101-11... | 2023-03-21T02:18:23 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mesh.brown.edu/optimization/index.html | ### Introduction to Geometry Processing Through Optimization
by Gabriel Taubin
IEEE Computer Graphics and Applications Volume 32, Issue 4, pages 88 - 94, July-August 2012
Computer representations of piece-wise smooth surfaces have become vital technologies in areas ranging from interactive games and feature film prod... | 2017-12-12T02:35:53 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://simple.wikipedia.org/wiki/Newton's_law_of_universal_gravitation | Newton's law of universal gravitation
Statue of Isaac Newton in the chapel of Trinity College, Cambridge
Newton's universal law of gravitation is a true physical law that describes the attraction between two objects with mass. It is talked about in Isaac Newton's Philosophiae Naturalis Principia Mathematica.[1][2] Th... | 2014-10-21T07:32:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/956869/mutual-independence-definition-clarification | # Mutual Independence Definition Clarification
Let $Y_1, Y_2, ..., Y_n$ be iid random variables and $B_1, B_2, ..., B_n$ be Borel sets. It follows that
$P(\bigcap_{i=1}^{n} (Y_i \in B_i)) = \Pi_{i=1}^{n} P(Y_i \in B_i)$...I think?
If so, does the converse hold true? My Stochastic Calculus professor says it does (or ... | 2019-11-19T20:34:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/conceptual-issue-with-average-acceleration-problem-in-giancoli.762744/ | # Conceptual issue with average acceleration problem in Giancoli
1. Jul 22, 2014
### knyaz
Hi all,
I recently came upon the following problem in Giancoli's Physics Principles With Applications, 6th ed. textbook that I am having some issues understanding. I am new here, so I do apologize if I have made any mistakes ... | 2017-08-19T19:57:02 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tepost.icu/article/ncert-solutions-for-mathematics-education-11-chapter-2-relations-and-functions-ex-2-2-exercise-2-2 | # NCERT Solutions for Mathematics Education 11 Chapter 2 Relations and Functions (Ex. 2.2) Exercise 2.2 (2023)
### Exercise 2.2
1. Let ${\rm{A = }}\left\{ {{\rm{1,2,3}}...{\rm{14}}} \right\}$. Define a relation ${\rm{R}}$ from ${\rm{A}}$ to ${\rm{A}}$ by ${\rm{R = }}\ left\{ {\left( {{\rm{x,y}}} \right){\rm{:3x - y =... | 2023-03-24T16:30:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/normal-force-acting-on-a-block-on-an-accelerating-wedge.991769/ | # Normal force acting on a block on an accelerating wedge
Gold Member
Homework Statement:
I created this stupid question to help me better understand Newtonian mechanics.
Relevant Equations:
N/A
We have a wedge whose surface is ##\theta## from the horizontal surface. After a block is placed on its frictionless slant ... | 2021-06-24T03:43:31 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2167205/integral-equation-with-non-convergent-eigenfunction-expansion | Integral Equation with Non convergent Eigenfunction Expansion
Let $K(x,y)=K(y,x)$ be a continuous symmetric function. The integral equation $$\varphi(x)=\lambda\int_a^b K(x,y)\varphi(y)dy$$ has eigenvalues $\lambda_n$ and eigenfunctions $\varphi_n(x)$. It is known that if $$\sum\limits_{n=1}^{\infty}\frac{\varphi_n(x)... | 2019-08-20T02:52:52 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/ncomms13022?error=cookies_not_supported&code=9f7bc073-90ae-44b7-8682-8721409725ec | Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | 2021-06-21T05:35:18 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://en.wikiversity.org/wiki/Electricity/Introduction | # Electricity/Introduction
Subject classification: this is an engineering resource.
Educational level: this is a secondary education resource.
Educational level: this is a tertiary (university) resource.
Let us begin with a few fundamental ideas about electricity to anchor all of your future lessons...
## Fundame... | 2019-03-21T16:13:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 59, "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://proofwiki.org/wiki/Definition:Bounded_Mapping_to_Metric_Space | # Definition:Bounded Mapping/Metric Space
## Definition
Let $M$ be a metric space.
Let $f: X \to M$ be a mapping from any set $X$ into $M$.
Then $f$ is a bounded mapping if and only if $f \left({X}\right)$ is bounded in $M$.
## Also see
From Real Number Line is Metric Space, we can in theory consider defining bou... | 2019-08-22T11:40:26 | {"extraction_info": {"found_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://chemistry.stackexchange.com/questions/152388/why-is-the-trans-effect-of-nitrile-ion-cyanide-weaker-than-acetonitrile-methy | # Why is the trans-effect of nitrile ion (cyanide) weaker than acetonitrile (methyl cyanide) in octahedral chromium complexes?
I was reading a paper which built a series of trans-philicity (a term they coined to indicate both kinetic trans-effect and thermodynamic trans-influence) from extensive calculations. And I fo... | 2022-01-29T08:59:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/494927/for-a-physical-pendulum-why-do-you-use-an-angular-coordinate-system-when-the-ce | # For a physical pendulum, why do you use an angular coordinate system when the centre of mass translates too?
I am trying to understand why you can use $$F=ma$$ for a simple pendulum, yet need the rotational equivalent for a physical pendulum. I understand it is because the rigid body can rotate too, whereas you don'... | 2019-09-18T05:53:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bookdown.org/aramir21/IntroductionBayesianEconometricsGuidedTour/probit-model.html | ## 6.3 Probit model
The probit model also has as dependent variable a binary outcome. There is a latent (unobserved) random variable, $$Y_i^*$$, that defines the structure of the estimation problem $$Y_i=\begin{Bmatrix} 1, & Y_i^* \geq 0\\ 0, & Y_i^* < 0 \end{Bmatrix},$$
where $$Y_i^*={\bf{x}}_i^{\top}\beta+\mu_i$$, ... | 2022-07-02T13:59:20 | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/questions/13996/how-can-i-create-facetted-histograms/14000 | # How can I create facetted histograms?
I love Mathematica, and I would love to be able to use it for all of my data analysis tasks, but there is one type of analysis which I find almost trivial in R, and I have no idea how to approach in Mathematica.
Say I have a CSV file containing a few hundred thousand people's r... | 2014-09-16T23:39:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/121832/analogue-of-cyclic-homology-for-e-n-algebras | Analogue of cyclic homology for e_n-algebras?
Cyclic homology may be defined as the primitive part (with respect to a natural product) of the homology of the Lie algebra associated with the "stabilization" of an associative algebra $A$. Here the "stabilization" is the matrix algebra $Mat_n(A)$, where $n$ goes to infin... | 2014-09-18T19:55:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-use-a-double-angle-formula-to-find-the-exact-value-of-cos2u-when-sin- | # How do you use a double-angle formula to find the exact value of cos2u when sin u = 7/25, where pi/2 <u < pi?
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
1
Feb 17, 2017
$\cos 2 u ... | 2017-12-13T05:16:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 1, "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/46242/finite-measures | # finite measures
$F$ is a finite measure on $(X,A)$
$a$ and $b$ belong to $A$
show that $F(a \cup b)=F(a)+F(b)-F(a \cap b)$
I have no idea how to approach this question. Any assistance would be appreciated.
-
Venn diagrams? Honestly, I don't know enough about measure theory to give a proper answer, but that looks... | 2015-08-03T17:23:56 | {"extraction_info": {"found_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://quant.stackexchange.com/questions/3745/how-do-i-model-garch1-1-volatility-for-historical-indexes-in-matlab/3747 | # How do I model GARCH(1,1) volatility for historical indexes in Matlab?
I'm currently working with historical index data from Yahoo Finance and would like to plot the GARCH(1,1) volatility of these indexes. I'm working with the Datafeed and Finance Tollboxes in Matlab right now, and I'm able to get the data and plot ... | 2014-11-22T16:47:01 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/50c9c5bde4b09c5571447f25 | Here's the question you clicked on:
## kr7210 What is "lorentz invariant" ? Please explain with few examples. one year ago one year ago
• This Question is Closed
1. henpen
Something that does not change with Lorentz transformations (that is, is the same no matter what the relative velocity of the observer). The spee... | 2014-04-20T00:48:30 | {"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... |
https://datascience.stackexchange.com/questions/18670/cnn-for-phoneme-recognition | # CNN for phoneme recognition
I am currently studying this paper, in which CNN is applied for phoneme recognition using visual representation of log mel filter banks, and limited weight sharing scheme.
The visualisation of log mel filter banks is a way representing and normalizing the data. They suggest to visualize ... | 2022-05-27T20:33:07 | {"extraction_info": {"found_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.math.uci.edu/seminar_past/Inverse-Problems-and-Imaging | ## Past Seminars- Inverse Problems and Imaging
• Peijun Li
Tue Jun 12, 2012
2:00 pm
We consider the scattering of a time-harmonic plane wave incident on a two-scale heterogeneous medium, which consists of scatterers that are much smaller than the wavelength and extended scatterers that are comparable to the wavelength... | 2018-04-23T17:15:41 | {"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://mathoverflow.net/questions/231053/weight-filtration-on-certain-galois-representations | # Weight filtration on certain Galois representations
Let $G$ be the absolute Galois group of a number field $K$. Let $\ell$ be a prime number. There are representations $\mathbb{Z}_\ell(n)$ of $G$ on the group of $\ell$-adic integers given by the formula $g.x=\chi(g)^nx$ where $\chi:G\to \mathbb{Z}_\ell^{\times}$ is ... | 2019-11-20T11:26:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dmoj.ca/problem/dpg | ## Longest Path
View as PDF
Points: 10 (partial)
Time limit: 1.0s
Memory limit: 512M
Problem types
These problems are from the atcoder DP contest, and were transferred onto DMOJ. All problem statements were made by several atcoder users. As there is no access to the test data, all data is randomly generated. If the... | 2020-06-05T06:01:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://studyadda.com/sample-papers/kvpy-stream-sx-model-paper-29_q31/2207/476044 | • # question_answer A charge particle ${{q}_{0}}$of mass ${{m}_{0}}$ is projected along the y-axis at t = 0 from origin with a velocity${{V}_{0}}$. If a uniform electric field ${{E}_{0}}$ also exists along the x-axis, then the time at which debroglie wavelength of the particle becomes half of the initial value is: A) $... | 2022-01-20T19:48:23 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://aperiodical.com/tag/online-show/ | # You're reading: Posts Tagged: online show
### 24-hour Maths Magic Show next weekend
Next weekend, a group of maths presenters will be getting together some mathematicians, magicians and other cool people to put on a 24-hour long online YouTube mathematical magic $x$-stravaganza. Each half-hour will feature a differ... | 2022-10-03T05:52:53 | {"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... |
http://math.stackexchange.com/questions/283913/recovering-hopf-algebra-from-group-like-elements | # Recovering Hopf Algebra from Group-Like Elements
Given the natural coalgebra structure on a group algebra $kG$, one can recover the group by taking the set of group-like elements of the coalgebra $kG$.
When can you go the other way? In particular, given a Hopf algebra $H$, under what conditions can one recover the ... | 2013-05-21T13:07:35 | {"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... |
https://math.stackexchange.com/questions/3702489/composition-of-continuous-and-nonmeasurable-function-is-measurable | # Composition of continuous and nonmeasurable function is measurable.
I'm stuck on part (b) of the question below. This is another question from a practice preliminary exam. Thanks in advance!
Problem
a) Let $$g$$ be a monotone function on $$\mathbb{R}$$. Prove that for every measurable function $$f$$ on a measurabl... | 2020-09-28T12:03:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/143937/what-are-the-basic-generating-functions | # What are the basic generating functions?
What are the basic generating functions?
(if there is one's).
And what is the generating function of:
$$1 + 2x^2 + 3x^4 + 4x^6 + \cdots$$
Thanks.
-
What do you mean by "basic"? – Qiaochu Yuan May 11 '12 at 16:39
that i can use without proving. – Rami May 11 '12 at 16:40
T... | 2015-11-25T18:25:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hmolpedia.com/page/Simon_Stevin | # Simon Stevin
In existographies, Simon Stevin (407-335 BE) (1548-1620 ACM) (IQ:175|#315) (Gottlieb 1000:836) (Eells 100:50) (GME:#) (CR:11) was a Dutch mathematician, engineer, and polymath, noted for []
## Overview
### Decimals
In 1585, Steven, in his The Art of Tenths (De Thiende), aka La Disme (French) or Decim... | 2021-10-18T05:09:06 | {"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://mathhelpforum.com/calculus/221203-confusing-result-system-odes-print.html | # Confusing Result From System of ODEs...
• August 14th 2013, 02:51 PM
Drecks
Confusing Result From System of ODEs...
Hi there.
I have the following system of ODEs to solve:
$\frac{dx}{dt} = \alpha x^{\frac{3}{2}}$
$\frac{dy}{dt} &=& \sqrt{\frac{\beta}{x^3}}$
Subject to $x(0) = x_0, y(0) = 0$.
As you can see, the... | 2016-08-24T19:07:05 | {"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": 75, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1785294/two-definitions-of-the-first-chern-class | # Two definitions of the first Chern class
there are two definitions of the first Chern class that I don't know how to relate - hints and references are both welcome.
So, first approach: say that I have a complex vector bundle $E\to M$; I can pass to the frame bundle $F(E)\to M$, where I have a $U(n)-$action, for som... | 2020-02-29T07:42:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/353107/practical-difference-between-define-a-macro-that-expands-to-charxxxx-and-using | # Practical difference between define a macro that expands to \char"XXXX and using \DeclareTextSymbol
This is question is only limited to using fontspec + luatex with the default TU encoding. The files are always in UTF-8. Is there any practical difference between, say
\DeclareTextSymbol{\textparagraph} \Unicod... | 2019-06-17T21:19:20 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/179916/indeterminate-result-from-sinc | # Indeterminate result from Sinc
I have an impulse train given by
(1 + Csc[(π x)/(1 + R)] Sin[(π (1 + 2 R) x)/(1 + R)])/(2 + 2 R)
Because of the Csc, evaluating this expression gives an indeterminate result for all integer multiples of R + 1, as you can see from this table:
TableForm[
Table[
Evaluate[(1 + Csc[(π x... | 2021-12-02T13:14:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.fuzzingbook.org/beta/html/DynamicInvariants.html | # Mining Function Specifications¶
When testing a program, one not only needs to cover its several behaviors; one also needs to check whether the result is as expected. In this chapter, we introduce a technique that allows us to mine function specifications from a set of given executions, resulting in abstract and form... | 2019-11-17T12:57:58 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://holoeye.com/tag/quantum-optics/ | ### Scalability of all-optical neural networks based on spatial light modulators
Author(s):
Ying Zuo, Zhao Yujun, You-Chiuan Chen, Shengwang Du & Liu, Junwei
Abstract:
“Optical implementation of artificial neural networks has been attracting great attention due to its potential in parallel computation at speed of l... | 2023-01-29T15:55:56 | {"extraction_info": {"found_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.researchgate.net/publication/43021934_Spectral_structure_of_the_pygmy_dipole_resonance | Article
# Spectral Structure of the Pygmy Dipole Resonance
[more]
Duke University, Durham, North Carolina 27708-0308, USA.
(Impact Factor: 7.51). 02/2010; 104(7):072501. DOI: 10.1103/PHYSREVLETT.104.072501
Source: PubMed
ABSTRACT
High-sensitivity studies of E1 and M1 transitions observed in the reaction (138)Ba((ga... | 2016-02-09T21:29:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nrich.maths.org/7127/solution | ### Plants
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
### Shapes in a Grid
Can you find which shapes you need to put into the grid to make the totals at the end of each row and the bottom of each column?
### Journeys in Number... | 2015-05-25T21:52:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://questions.examside.com/past-years/jee/question/the-force-is-given-in-terms-of-time-t-and-displacement-x-by-jee-main-physics-units-and-measurements-soa6xz4qudk1mrr5 | Javascript is required
1
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The force is given in terms of time t and displacement x by the equation
F = A cos Bx + C sin Dt
The dimensional formula of $${{AD} \over B}$$ is :
A
$$[{M^0}L{T^{ - 1}}]$$
B
$$[M{L^2}{T^{ - 3}}]$$
C
$$[{M^1}{L^1}{T^{ - 2}}]$$
D
$$[{M^2}{L^... | 2023-02-08T13:28:06 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ch.mathworks.com/help/stats/work-with-the-multinomial-probability-distribution.html | # Multinomial Probability Distribution Functions
This example shows how to generate random numbers and compute and plot the pdf of a multinomial distribution using probability distribution functions.
### Step 1. Define the distribution parameters.
Create a vector `p` containing the probability of each outcome. Outco... | 2021-10-28T02:24:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "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://mymathforum.com/algebra/41018-equivalence.html | My Math Forum Equivalence
Algebra Pre-Algebra and Basic Algebra Math Forum
January 25th, 2014, 12:21 PM #1 Member Joined: Nov 2010 Posts: 97 Thanks: 1 Equivalence With this practice question, I'm not sure what to do here...I have the answer, but I'm just not understanding how it is the answer. The examples in t... | 2019-10-23T23:38:06 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 7, "/images/mat... |
https://papers.nips.cc/paper/2019/file/65a99bb7a3115fdede20da98b08a370f-Reviews.html | NeurIPS 2019
Sun Dec 8th through Sat the 14th, 2019 at Vancouver Convention Center
Paper ID: 4419 Rapid Convergence of the Unadjusted Langevin Algorithm: Isoperimetry Suffices
### Reviewer 1
Summary: This paper analyzes both Langevin dynamics (LD) and unadjusted Langevin algorithm (ULA) for sampling a target distribu... | 2022-08-09T02:42:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/statistics/280494-power-test-pls-helppppp.html | # Thread: Power of a test Pls helppppp
1. ## Power of a test Pls helppppp
how do I calculate the power of this test ? I already found the Z value beforehand
the σ = 2
My steps are
Z= x - u/ σ
P= P(x<200 l u=196)
= P(Z<2) = 0.9772
I know that the power of a second type error 1-B= P(reject Ho l Ho true)
P(y>15 l p=0.... | 2018-07-21T23:21:37 | {"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/119392/top-chern-class-under-finite-unramified-dominant-morphism | # Top chern class under finite, unramified, dominant morphism
Situation: Let $\Bbbk$ be an algebraically closed field. Assume that $\pi:Y\to X$ is an finite, dominant, unramified morphism between nonsingular varieties of dimensions $n$. Let $d=\deg(\pi)$.
What I know: For $\Bbbk=\mathbb C$, the second chern class of ... | 2015-08-30T07:58:04 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/254/2/113321/tightness-and-weak-convergence-of-probabilities-on-the-skorokhod-space-on-the-dual-of-a-nuclear-space-and-applications | # Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty
## Studia Mathematica
Artykuły w formacie PDF dostępne są dla subskrybentów, którzy zapłacili za dostęp online, po podpisaniu licencji Licencja użytkownika instytucjonalnego. Czasopisma do 2009 są ogólnodostępne (bezpłatnie).
## Tightness and ... | 2021-09-24T12:46:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathskey.com/question2answer/33181/what-electric-field-strength-midpoint-between-the-spheres | # What is the electric field strength at the midpoint between the two spheres?
Two 2.0-cm-diameter insulating spheres have a 5.90 cmcm space between them. One sphere is charged to + 55.0 nCnC , the other to - 52.0 nCnC .
asked Feb 5, 2016 in PHYSICS
Step 1:
Diameter of the two spheres is .
Radius of the sphere is ... | 2021-06-21T10:12:11 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://visimphysics.com/en/electricity-and-magnetism/rlc-circuit/ | ## Exercise 4.10 A
Determine the inductance of the coil and the capacitance of the capacitor. What would be the resonant frequency of this circuit?
Tip: When calculating the inductance of the coil, remember ${U{_{R{_L}}}}^2+{U{_L}}^2= {U{_{R{_L}+L}}}^2$
Answer: $13\ mH$ ; $210\ \mu F$ ; $97\ Hz$ | 2023-03-20T22:13:52 | {"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://socratic.org/questions/what-is-the-orientation-in-space-of-an-atomic-orbital-associated-with | # What is the orientation in space of an atomic orbital associated with?
It's related to the angular quantum number $l$ or, more simply, the orbital's shape.
An electron orbital's magnetic quantum number ${m}_{l}$ is its orientation in space, and it contains integral values in the range $\left[- l , l\right]$ and the ... | 2020-08-09T21:20:33 | {"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... |
http://www.physicsforums.com/showthread.php?p=116391 | # torque and force
by burak_ilhan
Tags: force, torque
P: 14 as you all now torque in rotational motion has similarity with force in translational motion. but torque has the same unit as energy.it seems to me that there is a problem. Any explanation you have? (please ssmt different than " they are defined that way!!"
... | 2014-03-11T19:26:37 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/work-energy-theorem-and-kinematics.742237/ | # Work Energy Theorem and Kinematics
1. Mar 8, 2014
### layout4it
1. The problem statement, all variables and given/known data
A small steel ball of mass .0283kg is placed on the end of a plunger of length .0051m attached to a spring 1.88m above the ground. The spring is pre-compressed .0011m and has a spring const... | 2017-10-20T18:44:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1665867/proving-prime-gaps-not-monotonic | # Proving prime gaps not monotonic
I want to prove (or see a proof) that the prime gap function is not monotonic. (but not using extremely difficult theory like Zhangs proof please)
The idea for proof is to first suppose it is monotonic and find the slowest possible asymptotic growth it could have.
The get a contrad... | 2021-12-02T05:56:36 | {"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": 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/2319427/finding-asymptotic-behaviour-of-integral | # Finding asymptotic behaviour of integral
I am trying to work out the following integral :
$$\int_0^{at} \mathrm{d}u \frac{e^{-u}}{(t-\frac{u}{a})^\beta}$$
Where $\beta$ is some exponent that I'm trying to evaluate by comparing integrals of that type (for the function to be integrable, I'd expect $\beta<1$).
Now I... | 2019-05-22T05:04:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.tutorke.com/exams/1020-form-3-physics-paper-3-end-of-term-3-examination-2022.aspx | Get premium membership and access revision papers with marking schemes, video lessons and live classes.
# Form 3 Physics Paper 3 End of Term 3 Examination 2021
Class: Form 3
Subject: Physics
Level: High School
Exam Category: Form 3 End Term 3 Exams
Document Type: Pdf
## Exam Summary
TUTORKE EXAMS
END OF TERM TH... | 2022-11-30T09:37:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/this-one-belongs-to-inverse-trigo/ | # This one belongs to inverse trigo!!
Geometry Level 3
If $$\cos ^{-1} x - \cos^{-1} \frac{y}{2} = \alpha$$ then $$4x^2-4xy \cos \alpha + y^2$$ is equal to
× | 2018-03-18T19:36:59 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/double-slit-experiment-problem.876793/ | # Double slit experiment problem
## Homework Statement
monochromatic light of 625 nm of wavelength falls normal to the optical bar. Total number of light lines that appear behind the bar is 11. What is the constant of the difraction bar?
## Homework Equations
3. The Attempt at a Solution [/B]
I tried ##dsinx=ms## w... | 2021-02-27T22:36:16 | {"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/what-are-all-the-possible-rational-zeros-for-f-x-5x-3-x-2-5x-1-and-how-do-you-fi | # What are all the possible rational zeros for f(x)=5x^3+x^2-5x-1 and how do you find all zeros?
Sep 24, 2016
The possible rational zeros are $- 1 , - \frac{1}{5} , \frac{1}{5} , 5$ and the zeros are $- 1 , - \frac{1}{5} , 1$
#### Explanation:
$f \left(x\right) = \textcolor{red}{5} {x}^{3} + {x}^{2} - 5 x - \textco... | 2020-03-29T15:32:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 26, "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://www.nature.com/articles/s41598-017-06366-x?error=cookies_not_supported&code=92d772da-d1ae-498b-ae01-61c2c23d87dd | # Analysis of somatic mutations across the kinome reveals loss-of-function mutations in multiple cancer types
## Abstract
In this study we use somatic cancer mutations to identify important functional residues within sets of related genes. We focus on protein kinases, a superfamily of phosphotransferases that share h... | 2019-09-19T14:54:36 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/91170-rational-functions-approximate-expansions.html | # Thread: Rational functions and approximate expansions
1. ## Rational functions and approximate expansions
Hi,
I know how to do normal binomial expansions but I can't remember questions quite like this which I've just found in my textbook, by exam being in just over a day.
The first bit is to show that (1+x)/(2+x) ... | 2018-03-18T13:51:04 | {"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... |
http://thepasqualian.com/?tag=traffic | ## Posts Tagged ‘traffic’
### On Optimizing the Traffic Systems of the World Using Markov Chains (How to Predict Traffic Jams)
03 May
So it has been a recent dream of mine to optimize the traffic system of my hometown, and of Mexico in general, and even more generally of the world. I seldom drive, people seem alway... | 2014-10-25T16:42:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 25, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1-common-core-15th-edition/chapter-12-data-analysis-and-probability-12-3-measures-of-central-tendency-and-dispersion-practice-and-problem-solving-exercises-page-742/12 | ## Algebra 1: Common Core (15th Edition)
Published by Prentice Hall
# Chapter 12 - Data Analysis and Probability - 12-3 Measures of Central Tendency and Dispersion - Practice and Problem-Solving Exercises - Page 742: 12
#### Answer
The 5th number is 99
#### Work Step by Step
The mean is 91 and the values are:9 9,... | 2018-10-22T21:34:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cvgmt.sns.it/paper/4977/ | # Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations
created by goffi on 02 Jan 2021
modified on 16 Jul 2021
[BibTeX]
Accepted Paper
Inserted: 2 jan 2021
Last Updated: 16 jul 2021
Journal: Journal of Evolution Equations
Year: 2020
Doi: 10.1007/s00028-021-00720-3
ArXiv: 2101.... | 2021-09-27T02:06:41 | {"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://puzzling.stackexchange.com/questions/112379/a-piece-of-paper-repeatedly-cut-into-8-or-12-pieces/112381 | # A piece of paper repeatedly cut into 8 or 12 pieces
You are given a piece of paper. It will be cut into 8 or 12 pieces. Each of those new pieces can be cut again into 8 or 12 pieces or left uncut. This process is (theoretically) repeated as often as you want.
What is the highest number of pieces that cannot be reac... | 2022-08-16T07:17:23 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://jmlr.org/papers/v22/21-0020.html | ## Graph Matching with Partially-Correct Seeds
Liren Yu, Jiaming Xu, Xiaojun Lin; 22(280):1−54, 2021.
### Abstract
Graph matching aims to find the latent vertex correspondence between two edge-correlated graphs and has found numerous applications across different fields. In this paper, we study a seeded graph matchi... | 2022-08-15T09:25:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/30463/the-binding-energy-per-nucleon-of-deuteron-h-and-helium-nucleus-he-is-1-1-m | Browse Questions
# The binding energy per nucleon of deuteron $\;(_{1}^{2}H)\;$ and helium nucleus $\;(_{2}^{4}He)\;$ is 1.1 MeV and 7 MeV respectively . If two deuteron nuclei react to form a single helium nucleus, the energy released is
$(a)\;23.6 MeV\qquad(b)\;22.8 MeV\qquad(c)\;19 MeV\qquad(d)\;23 MeV$
Can you a... | 2016-12-04T06:32:52 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wikimili.com/en/Throughput_%28business%29 | Last updated
Throughput is rate at which a product is moved through a production process and is consumed by the end-user, usually measured in the form of sales or use statistics. The goal of most organizations is to minimize the investment in inputs as well as operating expenses while increasing throughput of its prod... | 2021-01-27T00:45:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "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.semanticscholar.org/paper/Equivalent-elastica-knots-Brizard-Pfefferl'e/0e76a557175ef827f38c9f2e0cd29dc3328ff115 | • Corpus ID: 119318734
# Equivalent elastica knots
@article{Brizard2018EquivalentEK,
title={Equivalent elastica knots},
author={Alain J. Brizard and David Pfefferl'e},
journal={arXiv: Mathematical Physics},
year={2018}
}
• Published 12 July 2018
• Mathematics
• arXiv: Mathematical Physics
The problem of an elastica k... | 2023-03-31T01:14:53 | {"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... |
https://physics.stackexchange.com/questions/417746/where-does-the-negative-sign-of-the-laplacian-in-the-four-divergence-go | # Where does the negative sign of the Laplacian in the four-divergence go?
As far as I'm aware from my course notes and what I've found online, the four vector gradient expands as \begin{align*} \partial_\mu x_\mu &= \left( \frac{1}{c} \frac{\partial}{\partial t}, -\frac{\partial}{\partial x^1}, -\frac{\partial}{\part... | 2021-10-19T00:29:12 | {"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... |
http://mathhelpforum.com/differential-equations/84819-laplace-equations-circular-regions-dirichlet-problems-annular-regions.html | # Thread: Laplace equations in circular regions: Dirichlet problems on annular regions
1. ## Laplace equations in circular regions: Dirichlet problems on annular regions
show that the steady state solution in the annular region is
u(r,theta)= a_0*((ln(r)-ln(R_1)/(ln R_1-ln(R_2))+ sigma(n=0..infinity)*[a_n*cos(n*theta... | 2017-06-24T20:05:29 | {"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... |
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