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https://www.physicsforums.com/threads/question-about-spherically-symmetric-charged-objects.336066/ | Question about spherically symmetric charged objects
1. Sep 9, 2009
simpleton
Hi,
I would like to ask a question about spherically symmetric charged objects. My teacher told me that you can treat spherically symmetric charged objects at point charges. However, my teacher did not prove it. I guess you have to integr... | {"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/algebra/algebra-1/chapter-7-exponents-and-exponential-functions-7-2-scientific-notation-practice-and-problem-solving-exercises-page-424/18 | ## Algebra 1
A number in scientific notation is written as the product of two factors in the form $a×10^n$, where $n$ is an integer and $1\leq |a| <10$. The number $9.54\times10^{15}$ meets both of these criteria, as $9.54$ is between $1$ and $10$, and $15$ is an integer. | {"extraction_info": {"found_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/194955-solving-dy-dx-e-x-y-print.html | # Solving dy/dx = e^(x+y)
• Jan 5th 2012, 04:14 PM
M.R
Solving dy/dx = e^(x+y)
Hi,
I am trying to solve the following differential equation:
$\frac {dy}{dx} = e^{x+y}$
Now:
$\frac {dy}{dx} = e^x e^y$
$\frac {1}{e^y} dy = e^x dx$
$\int \frac {1}{e^y} dy = \int e^x dx$
$-e^{-y} = e^x + C$
$ln(e^{-y^{-1})} = ln(e... | {"extraction_info": {"found_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": 15, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cstwiki.wtb.tue.nl/index.php?title=Firefly_Eindhoven_-_Localization_-_Top_Camera&oldid=57051 | # Firefly Eindhoven - Localization - Top Camera
## Software procedure
• Description of C++ procedure
• Links to the code (preferably through Github)
## Extension to multidrone procedure
### From I to L shape
Vectors between the LEDs. LEDs 1 and 2 are the top LEDs
Vectors pointing in the phi is zero direction and t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cdsweb.cern.ch/collection/ATLAS%20Theses?ln=ru&as=1 | ATLAS Theses
Последние добавления:
2019-09-05
14:32
Precizno merenje narusenja $CP$ simetrije u raspadu $B_s^0→J/ψϕ$ u ATLAS eksperimentu / Agatonovic-Jovin, Tatjana The violation of charge-parity $(CP)$ symmetry is one of the most interesting phenomena and the greatest puzzles of modern particle physics [...] CERN-T... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/28992/a-question-about-iwasawa-theory?sort=oldest | # A question about Iwasawa Theory
I am just reading about Iwasawa theory about Coates and Sujatha's book on Iwasawa Theory. I was wondering that since Iwasawa thought about the whole theory from the analogy of curves over finite fields, so what should be the analog of the module $U_\infty$/$C_\infty$ in the curve case... | {"extraction_info": {"found_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.gurobi.com/documentation/8.0/refman/the_params_argument.html | # The params argument
Filter Content By
Version
Languages
### The params argument
As mentioned previously, the Gurobi optimizer provides a set of parameters that allow you to control many of the details of the optimization process. Factors like feasibility and optimality tolerances, choices of algorithms, strategies... | {"extraction_info": {"found_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.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2005&number=1058 | WIAS Preprint No. 1058, (2005)
Approximate approximations from scattered data
Authors
• Lanzara, Flavia
• Schmidt, Gunther
2010 Mathematics Subject Classification
• 41A30 65D15 41A63 41A25
Keywords
• scattered data quasi-interpolation, cubature of integral operators, multivariate approximation, error estimates
... | {"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/pre-calculus/190024-equation-manipulation.html | Math Help - Equation manipulation
1. Equation manipulation
I was hoping that some of you with a lot more experience than me would check my work below for any blatant errors or incorrect assumptions, I have marked the parts I'm unsure about. I have deliberately included every step for clarity.
Two equations:
$b=u^2+... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 34, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stackoverflow.com/questions/25071515/how-to-make-a-regex-fit-in-python | # How to make a RegEx fit in Python
My end goal is to be able to pull the word or words out of the quotes after title=". I have a text file with a bunch of long lines of HTML and each line has a title="some place" in it towards the end. I have a regex that I'm still trying to get 100% dialed in but, for now, looks som... | {"extraction_info": {"found_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/mathematical-expressions/ | # Mathematical Expressions
When writing a math expression, any time there is an open bracket "$$($$", it is eventually followed by a closed bracket "$$)$$". When we have a complicated expression, there may be several brackets nested amongst each other, such as in the expression $$(x+1)*((x-2) + 3(x-4)\times(x^2 + 7\ti... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-topics/56947-make-y-subject.html | # Math Help - make y the subject...
1. ## make y the subject...
$3y/(y-1) = x$
I can't seem to make y the subject of the above formula....I must be having some kind of mental lapse here!
2. Originally Posted by Ant
$3y/(y-1) = x$
I can't seem to make y the subject of the above formula....I must be having some kind... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.zdam.xyz/problem/12992/ | #### Problem 35E
35. In the study of ecosystems, predator-prey models are often used to study the interaction between species. Consider populations of tundra wolves, given by $W(t)$, and caribou, given by $C(t)$, in northern Canada. The interaction has been modeled by the equations
$$\frac{d C}{d t}=a C-b C W \quad \... | {"extraction_info": {"found_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/calculus/164757-integrating-enclosed-area.html | # Math Help - Integrating enclosed area
1. ## Integrating enclosed area
Calculate the area enclosed by x = 9-y^2 and x = 5 in two ways: as an integral along the y-axis and as an integral along the x-axis.
Please tell me if my figure is correct, and also if the shaded area is also the are I am looking for.
Also is th... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 30, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cogsci.stackexchange.com/questions/5251/does-logical-thinking-or-counting-develop-first-in-children/5253 | # Does logical thinking or counting develop first in children?
During the course of normal brain development, what comes first:
• logical thinking or
• counting?
-
hmmm thanks, i.e. +1, so far. I thought about more basic logic like if [this] then [that] , not real critical thinking... – draks ... Dec 30 '13 at 21:5... | {"extraction_info": {"found_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://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327-60.html | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 25 Apr 2015, 18:51
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized... | {"extraction_info": {"found_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://categoricalexamples.com/cgi-bin/py/theorem.py?id=61 | # Stacks 01TW (1) theorem
Let $X$, $Y$ be schemes, and possibly some arrows, satisfying the following conditions:
• $f$ locally of finite presentation
Then
• $f$ locally of finite type | {"extraction_info": {"found_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/how-do-i-prove-this-seemingly-simple-trigonometric-identity.787146/ | Homework Help: How do I prove this seemingly simple trigonometric identity
1. Dec 12, 2014
Ganesh Ujwal
• Originally posted in a technical section, so missing the template
Mod note: Fixed the LaTeX.
$a=sinθ+sinϕ$
$b=tanθ+tanϕ$
$c=secθ+secϕ$
Show that,
$8bc=a[4b^2 + (b^2-c^2)^2]$
I tried to solve this for hours ... | {"extraction_info": {"found_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://pylops.readthedocs.io/en/latest/api/generated/pylops.avo.avo.AVOLinearModelling.html | pylops.avo.avo.AVOLinearModelling¶
class pylops.avo.avo.AVOLinearModelling(*args, **kwargs)[source]
AVO Linearized modelling.
Create operator to be applied to a combination of elastic parameters for generation of seismic pre-stack reflectivity.
Parameters
thetanp.ndarray
Incident angles in degrees
vsvpnp.ndarray ... | {"extraction_info": {"found_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://harvard.voxcharta.org/tag/rotation-curves/ | # Posts Tagged rotation curves
## Recent Postings from rotation curves
### Formation and evolution of blue compact dwarfs: The origin of their steep rotation curves
The origin of the observed steep rotation curves of blue compact dwarf galaxies (BCDs) remains largely unexplained by theoretical models of BCD formatio... | {"extraction_info": {"found_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://export.arxiv.org/abs/1904.09496 | cs.DC
(what is this?)
# Title: Optimal Load Allocation for Coded Distributed Computation in Heterogeneous Clusters
Abstract: Recently, coding has been a useful technique to mitigate the effect of stragglers in distributed computing. However, coding in this context has been mainly explored under the assumption of hom... | {"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://hackage-origin.haskell.org/package/generics-mrsop-1.0.0.1/candidate/docs/Generics-MRSOP-Base-NP.html | generics-mrsop-1.0.0.1: Generic Programming with Mutually Recursive Sums of Products.
Generics.MRSOP.Base.NP
Description
Standard representation of n-ary products.
Synopsis
# Documentation
data NP :: (k -> *) -> [k] -> * where Source #
Indexed n-ary products. This is analogous to the All datatype in Agda.
Const... | {"extraction_info": {"found_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://codereview.stackexchange.com/questions/42744/project-euler-largest-product-in-a-grid-11-in-java-8 | # Project Euler “Largest product in a grid” (#11) in Java 8
I have come up with a Java 8 solution for the following problem:
In the 20×20 grid below, four numbers along a diagonal line have been marked in red (bold here).
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/143701-parametric-centroid-problem-print.html | # Parametric Centroid Problem
• May 8th 2010, 11:24 AM
rcyoung3
Parametric Centroid Problem
So one of the things I have to know for my Calc final is how do find the center of mass of a centroid given its parametric formulas. We learned how to find centers of mass and how to use parametric equations but never put the t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math2.org/math/oddsends/complexity.htm | # Math2.org Math Tables: Complexity
(Math)
## Complex Definitions of Functions and Operations
(sum of squares)
(DeMoivre's Theorem)
if then there are n complex nth roots (z) of w for k=0,1,..n-1
$z(k) = r1/n [ \cos \frac{\theta + 2 \pi k}{n} + i \sin \frac{\theta + 2 \pi k}{n} ]$ | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://swmath.org/software/8510 | # CESAR
Specification and verification of concurrent systems in CESAR. The aim of this paper is to illustrate by an example, the alternating bit protocol, the use of CESAR, an interactive system for aiding the design of distributed applications. CESAR allows the progressive validation of the algorithmic description of... | {"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://electronics.stackexchange.com/questions/418549/plot-antenna-radiation-pattern-in-matlab | # Plot antenna radiation pattern in Matlab
I have the antenna radiation pattern exported from CST. The file is txt file format and contains the angles theta and phi and the directivity. First theta varies between 0 and 180° and phi is 0° and all the directivity values are listed. Then phi is incremented and again thet... | {"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.physicsforums.com/threads/electron-as-a-wave-some-doubts.532676/ | # Homework Help: Electron as a wave - some doubts
1. Sep 22, 2011
### logearav
electron as a wave -- some doubts
1. The problem statement, all variables and given/known data
While dealing with deBroglie's idea, my book mentions these points
1) The electron is a wave whose length decreases with energy
2) If you try... | {"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.physicsforums.com/threads/double-slit-problem-help.128516/ | Double Slit Problem Help
1. Aug 9, 2006
MD2000
In a Young's double-slit experiment, the seventh dark fringe is located 0.023 m to the side of the central bright finge on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.5 10-4 m. What is the wavelength of the light being used?
... | {"extraction_info": {"found_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://uk.arxiv.org/list/cond-mat/1609 | # Condensed Matter
## Authors and titles for Sep 2016
[ total of 1545 entries: 1-25 | 26-50 | 51-75 | 76-100 | ... | 1526-1545 ]
[ showing 25 entries per page: fewer | more | all ]
[1]
Title: Chiral Floquet Phases of Many-body Localized Bosons
Comments: (18+11) pages; (9+2) figures. v2: Minor changes, references upda... | {"extraction_info": {"found_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/289694/combinatorial-proof-of-sum-i-0k-binommk-i-1k-i-binomni-1i-binom/289728 | # Combinatorial proof of $\sum_{i=0}^k\binom{m+k-i-1}{k-i}\binom{n+i-1}{i}=\binom{m+n+k-1}{k}$?
Please provide a combinatorial proof for the following:
Prove the identity $$\sum_{i=0}^{k}{m+k-i-1 \choose k-i}{n+i-1 \choose i}={m+n+k-1 \choose k}$$
Hint: use idea of "selection with repetition".
-
Do you mean $$\sum_... | {"extraction_info": {"found_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/events-in-quantum-theories.1049794/#post-6852637 | # Events in Quantum Theories
• I
• Start date
• #1
Gold Member
440
346
TL;DR Summary
An experimenter can use QM to compute probabilities for possible experimental outcomes (events) so long as the experimenter chooses a measurement basis. Decoherence will select a preferred basis for the experiment, but does not explai... | {"extraction_info": {"found_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://alekskleyn.blogspot.com/ | ## Wednesday, May 15, 2013
### Roots of Noncommutative Polynomial
When we study Riemann geometry, there is one
interesting object there. Its name is geodesic line.
It has two different definitions which ultimately lead
to the same object. Geodesic is line of extreme length.
Geodesic is such line that tangent vector
p... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=278717 | # Moment of inertia of a triangle
Tags: inertia, moment, triangle
P: 15 1. The problem statement, all variables and given/known data Calculate the moment of inertia of a uniform triangular lamina of mass m in the shape of an isosceles triangle with base 2b and height h, about its axis of symmetry. 3. The attempt at a... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.geog.com.cn/CN/10.11821/xb196501005 | • 论文 •
### 西藏高原第四纪冰川遗迹
1. 1. 中国科学院地理研究所;
2. 地质部地质科学研究院
• 出版日期:1965-01-15 发布日期:1965-01-15
• 基金资助:
### REMNANTS OF QUATERNARY GLACIATION ON THE TIBETAN PLATEAU
WANG MING-YE1, CHUNG MEIN-PING2
1. 1. Institute of Geography, Academia Sinica;
2. Institute of Geologic Research, The Department of Geolgy
• Online:1965-01-1... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/force-between-2-parallel-magnetic-dipole-moments.894367/ | # Homework Help: Force between 2 parallel magnetic dipole moments
Tags:
1. Nov 22, 2016
### 1v1Dota2RightMeow
1. The problem statement, all variables and given/known data
Find the force of attraction between 2 magnetic dipoles a distance r apart. Both dipoles point to the right.
2. Relevant equations
3. The attemp... | {"extraction_info": {"found_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/how-do-you-find-the-distance-between-4-8-and-3-6 | Algebra
Topics
# How do you find the distance between (4,8) and (-3,-6)?
Apr 2, 2017
Use the distance formula:
$d = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$
#### Explanation:
Given the points $\left(4 , 8\right) \mathmr{and} \left(- 3 , - 6\right)$
$d = \sqrt{{\left({x}_... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://thiscondensedlife.wordpress.com/category/statistical-mechanics/ | # Category Archives: Statistical Mechanics
## Response and Dissipation: Part 1 of the Fluctuation-Dissipation Theorem
I’ve referred to the fluctuation-dissipation theorem many times on this blog (see here and here for instance), but I feel like it has been somewhat of an injustice that I have yet to commit a post to ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 22, "mimetex.cgi": 0, "/images/ma... |
https://www.coursehero.com/subjects/dot-product/ | • ### Dot Product Q&A
##### Dot Product Study Resources Q&A View all
• ###### Q. Evaluate the expression: v â‹… w Given the vectors: r = <5, -5, -2>; v = <2, -8, -8>; w = <-2, 6, -5>
• Not Rated Yet
• ###### Q. Please Show the Steps for better learning. 1) Write sin (60t + pi/4) as Re [cos (60t + ?)] . 2) What if no e... | {"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://math.stackexchange.com/users/10109/jonathan-gleason?tab=questions&sort=views | # Jonathan Gleason
less info
reputation
719
bio website berkeley.academia.edu/… location Berkeley, CA age 24 member for 2 years, 11 months seen Apr 18 at 4:45 profile views 1,259
Currently a graduate student in mathematics at the University of California - Berkeley.
Previously obtained a MASt. in Applied Mathematics... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/201545-largest-number-must-divisor-result.html | # Thread: the largest number that must be a divisor of the result.
1. ## the largest number that must be a divisor of the result.
Select any prime number greater than 3. Square it and subtract 1. What is largest number that must be a divisor of the result?
My solution:
5^2- 1.= 25 - 1 = 24 the largest number of thi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.bernardosulzbach.com/python-generators-to-preserve-memory/ | # Python: Use Generators to Save Memory
2016-01-10
Even though this feature is not new at all, very few seem to use generators as much as they should. Generators may help one write programs that require less memory to run when compared to their list comprehension analogous.
Let me use a trivial example to demonstrat... | {"extraction_info": {"found_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.physicsforums.com/showthread.php?s=91ca0bec4b91b03f84813e527438b552&p=4721037 | # Is interstellar travel impossible due to kinetic energy magnitude?
Share this thread:
Sci Advisor
Thanks
P: 3,663
Quote by BitWiz T A hollow comet is closing in on Earth. I am perched inside the comet, and to my way of thinking, I'm weightless and at rest. There is no measurable velocity or acceleration. To me, my... | {"extraction_info": {"found_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://listserv.uni-heidelberg.de/cgi-bin/wa?A2=9710&L=LATEX-L&D=0&H=A&S=a&P=198492 | ## LATEX-L@LISTSERV.UNI-HEIDELBERG.DE
Options: Use Forum View Use Monospaced Font Show Text Part by Default Condense Mail Headers Message: [<< First] [< Prev] [Next >] [Last >>] Topic: [<< First] [< Prev] [Next >] [Last >>] Author: [<< First] [< Prev] [Next >] [Last >>]
```Hallo!
> > >> Is it widely used?
> >
> ... | {"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/revisions/107492/list | 3 New answer to edited question.
[This is now an answer to the edited question(s), with some details added.My answer to the original question is kept at the very end.]
Firstly: The question is a good one, and it is not easy to find references onthis. I had spent too much time pondering about the failure of the double... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/99542/bounded-and-unbounded-operator | # Bounded and Unbounded Operator
Can someone explain with a concrete example of how can I can check whether a quantum mechanical operator is bounded or unbounded?
EDIT: For example., I would like to check whether $\hat p=-i\hbar\frac{\partial}{\partial x}$ is bounded or not.
-
If you have a specific operator you wan... | {"extraction_info": {"found_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.ntg.nl/pipermail/ntg-context/2007/025981.html | # [NTG-context] additional blank line in starttyping environment
WolfgangZ wollez at gmx.net
Sun Jul 15 21:56:18 CEST 2007
```Peter Münster schrieb:
> On Sun, 15 Jul 2007, WolfgangZ wrote:
>
>> I get an extra blank line at the beginning of the starttyping
>> environment. How do I get rid of it?
>
> The cause of the p... | {"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://icpc.njust.edu.cn/Problem/Zju/1349/ | # Four Quarters
Time Limit: Java: 2000 ms / Others: 2000 ms
Memory Limit: Java: 65536 KB / Others: 65536 KB
## Description
Four Quarters is a game of chance played with, well, four quarters. Two people, called A and B, each flip two quarters each round. They each gain or lose points each round based on the followin... | {"extraction_info": {"found_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://comunidadwindows.org/standard-error/standard-error-deviation-confidence-interval.php | Home > Standard Error > Standard Error Deviation Confidence Interval
# Standard Error Deviation Confidence Interval
## Contents
When you use standard error to calculate confidence interval, you are dealing with the distribution of the sample mean. If σ is not known, the standard error is estimated using the formula ... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.cje.net.cn/CN/abstract/abstract20708.shtml | • 研究报告 •
1980—2013年中国陆地生态系统总初级生产力对干旱的响应特征
1. （天津大学表层地球系统科学研究院， 天津 300072）
• 出版日期:2020-01-10 发布日期:2020-01-10
The responses of gross primary production to drought in terrestrial ecosystems of China during 1980-2013.
DU Wen-li, SUN Shao-bo, WU Yun-tao, SONG Zhao-liang*
1. (Institute of the Surface-Earth System Scienc... | {"extraction_info": {"found_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://codereview.stackexchange.com/questions/195049/solving-the-burst-balloon-problem-using-dynamic-programming | # Solving the Burst Balloon problem using Dynamic Programming
Continuing where I left off previously to solve the problem described here, I've now solved the same using dynamic programming (following Tikhon Jelvis blog on DP).
To refresh, the challenge is to find a sequence in which to burst a row of balloons that wi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535301 | Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535301
Title: Bi-flagellate swimming dynamics
Author: O'Malley, Stephen
ISNI: 0000 0004 2705 6186
Awarding Body: University of Glasgow
Current Institution: University of Glasgow
Date of Award: 2011
Availabili... | {"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://koreascience.or.kr/search.page?keywords=screening&pageSize=10&pageNo=3 | • Title/Summary/Keyword: screening
### Dilemmas of Oral Cancer Screening: An Update
• Kujan, Omar;Sloan, Philip
• Asian Pacific Journal of Cancer Prevention
• /
• v.14 no.5
• /
• pp.3369-3373
• /
• 2013
• Oral cancer is a global health burden with high mortality and morbidity. Advances in treatment have failed to imp... | {"extraction_info": {"found_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://boxingpythagoras.com/category/history-2/ | # Boxing Pythagoras
## Archive for the category “History”
Translating ancient documents into modern languages carries with it more difficulties than most people realize. Pretty much anyone who has ever taken a foreign language class in high school understands that it can often be quite hard to find a word which corre... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 1, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/49824/value-of-mixing-ratio-and-rate-constant-in-chapman-mechanisn | # Value of mixing ratio and rate constant in Chapman mechanisn
In the Chapman mechanism (which tells about the activities of ozone in the stratosphere), there is a equation for the lifetime ($\tau_{\ce{O}}$) of an oxygen atom, $\ce{O}$ against conversion to ozone, $\ce{O3}$, through a certain reaction is given as $$\t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ieee802.org/secmail/msg04468.html | # RE: [802SEC] Final CD-ROM content
For me, this discussion is the final nail in the coffin for the process of
ISO-izing our standards.
We are getting marginal benefit from the process, causing ourselves extra
work to achieve it, and in the process, creating difficulties for ourselves
with regard to our control of t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/put-some-light-on-my-concept-of-light.613884/ | # Put some light on my concept of light.
1. Jun 14, 2012
### Zubeen
In the way we represent an electromagnetic wave (click on http://upload.wikimedia.org/wikipedia/commons/4/4c/Electromagneticwave3D.gif) we limit the magnetic field vector and electric field vector till the limit of the amplitude of the wave. But how... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.mercinewyork.com/96tjrz87/ce9793-survival-analysis-python-book | There are two main methods to estimate the survival curve. SurvivalAnalysisPython. https://jamanetwork.com/journals/jama/article-abstract/2763185 Here is an example of the Cox’s proportional hazard model directly from the lifelines webpage (https://lifelines.readthedocs.io/en/latest/Survival%20Regression.html). 7 Most ... | {"extraction_info": {"found_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://robotics.stackexchange.com/questions/3035/how-to-make-one-robot-follow-the-other-in-parallel-formation | # How to make one robot follow the other in parallel formation
This is quite a basic question. I'm practising robot programming with VRep. I have 2 K3 robots in the scene. One robot follows a predefined path. I want the second robot to move "in parallel" with the first one so they keep same orientation and same distan... | {"extraction_info": {"found_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://thedatafrog.com/en/articles/minimal-install-raspberry-pi/ | # Fast Minimal Install of a Raspberry Pi
Set up a raspberry pi with the software you need and nothing else in less than 10 minutes!
Today, you'll learn how to set up a raspberry pi with the software you need and nothing else in less than 10 minutes!
It is extremely easy for new users to install raspbian on a raspber... | {"extraction_info": {"found_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://infoscience.epfl.ch/record/221109 | Infoscience
Journal article
# Neoclassical tearing mode seeding by coupling with infernal modes in low-shear tokamaks
A numerical and an analytical study of the triggering of resistive MHD modes in tokamak plasmas with low magnetic shear core is presented. Flat q profiles give rise to fast growing pressure driven MH... | {"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://twiki.math.cornell.edu/do/view/MSC | # Mathematics Support Center
## Mathematics Support Center
### Feeling rusty with your Algebra and Trig?
These two-hour sessions provide an opportunity for you to brush up with a review which highlights not only the basics, but many of the interconnections often unvisited in the progress of a usual course.
• Tuesday... | {"extraction_info": {"found_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://ask.sagemath.org/question/38152/integrating-complicated-expression-with-two-variables/ | # Integrating complicated expression with two variables edit
I am trying to compute a double integral with respect to variables x and y. I first compute the integral with respect to the variable x:
first_int = integral(h, x, 1, 5)
which gives me as an output :
integrate(1/(log(abs(x^4 + 13*x^3*y - 30*x^2*y^2 + 2*x... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/327736/copies-of-finite-sets-in-sets-of-positive-measure | # Copies of finite sets in sets of positive measure
We say a set $A \subseteq \mathbb{R}^n$ contains the pattern of a finite set $B \subseteq \mathbb{R}^n$ if there exists a shift $t \in \mathbb{R}^n$ and scale $s > 0$ such that $t+sB \subseteq A$. I've read that if $A$ has positive measure, then for any choice of fin... | {"extraction_info": {"found_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/109486/determine-surface-area-of-heat-exchange-tube | # Determine surface area of heat exchange tube
A heat exchanger is used to cool down a stream of $$\pu{20 kg s-1}$$ of water from $$\pu{80 °C}$$ to $$\pu{60 °C}$$. The cooling water enters at a rate of $$\pu{12 kg s-1}$$ and $$\ce{20 °C}$$. The overall heat transfer coefficient is $$\pu{2 kW m-2 K-1}$$ and the heat ca... | {"extraction_info": {"found_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/energy-in-simple-harmonic-motion.228820/ | # Energy in simple harmonic motion
1. Apr 14, 2008
### kjartan
1. The problem statement, all variables and given/known data
This is my first post here.
Thanks for any and all replies!
I apologize in advance if I haven't used the correct conventions, but I hope that this is legible. I will learn the correct conventi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codegolf.stackexchange.com/questions/97713/print-the-digital-root/97717 | # Print the digital root
This is different from My Word can beat up your Word as it is less complex and only requires you to calculate it, and not compare them.
To find the digital root, take all of the digits of a number, add them, and repeat until you get a one-digit number. For example, if the number was 12345, yo... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.pdfstall.online/2019/10/data-communication-and-computer-network.html | ## Wednesday, October 2, 2019
### Data Communication and Computer Network (Free PDF)
File Size: 2.62 Mb
Description
Data communications refers to the transmission of this digital data between two or more computers and a computer network or data network is a telecommunications network that allows computers to exchang... | {"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://physics.stackexchange.com/questions/113519/electric-field-generated-by-a-point-charge-moving-at-the-speed-of-light | # Electric field generated by a point charge moving at the speed of light
As you see, this is the electric field generated by a point charge moving at constant speed v. I know that when $v$ -> 0, $E$ is just the Coloumb Law. But how do you interpret $E$ when $v$ -> $c$ ?
Can I just interpret it as the field of electr... | {"extraction_info": {"found_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://minhyongkim.wordpress.com/category/basic-mathematics/ | ## Category Archives: basic mathematics
### Grothendieck
https://minhyongkim.files.wordpress.com/2014/12/grothendieck2.pdf
### Proofs
I thought I would post a short email exchange, just in case other people are confused by this issue as well.
————————————————————————————–
Email:
hi, this is where the confusion a... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 6, "mimetex.cgi": 0, "/images/mat... |
https://www.homebuiltairplanes.com/forums/threads/how-to-incorporate-a-hydrogen-fuel-cell-into-an-electric-aircraft-for-homebuilders.36045/page-4 | # How to incorporate a Hydrogen fuel cell into an electric aircraft for Homebuilders?
### Help Support Homebuilt Aircraft & Kit Plane Forum:
#### PMD
##### Well-Known Member
Joined
Apr 11, 2015
Messages
353
Location
Martensville SK
First of all, sorry to be late to the party. Catching up on a lot of things here and ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0639.54006 | ×
# zbMATH — the first resource for mathematics
The N-compactness in L-fuzzy topological spaces. (English) Zbl 0639.54006
While the problem of defining compactness in fuzzy topological spaces would seem trivial, the formal generalization has many deficiencies. For example, there is no Tikhonov theorem and a one point... | {"extraction_info": {"found_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/geometry/141483-angle-between-curves-parametric-form.html | # Thread: Angle between curves in parametric form
1. ## Angle between curves in parametric form
Hi,
In a problem i have to find the angle between two curves that are in parametric form. Those curves are:
(e^t*cos(t),e^t*sin(t)) and (R*cos(s),R*sin(s)) where s,t are in [0,2*Pi] and R>0
I can't even find their inter... | {"extraction_info": {"found_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": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.nature.com/articles/s41598-019-41033-3?fbclid=IwAR3GG_-EvwQB0W95zxyIR_R11JiTTFgGVjK3X5i09UOKmjgnrsPVJYuIlzo&error=cookies_not_supported&code=1c06e174-4b21-4f4f-b50b-bdb106b9d17f | 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... | {"extraction_info": {"found_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://kitchingroup.cheme.cmu.edu/blog/2013/06/12/Finding-the-volume-of-a-unit-cell-at-a-fixed-pressure/ | ## Finding the volume of a unit cell at a fixed pressure
| categories: uncategorized | tags: | View Comments
A typical unit cell optimization in DFT is performed by minimizing the total energy with respect to variations in the unit cell parameters and atomic positions. In this approach, a pressure of 0 GPa is implied... | {"extraction_info": {"found_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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/426357/if-g-v-e-is-a-planar-graph-all-vertex-degrees-are-3-all-faces-are-of-fiv | # If $G=(V,E)$ is a planar graph, all vertex degrees are $3$, all faces are of five/six edges, how many five-edged faces are there?
Given a graph $G = (V,E)$, a planar graph where every vertex has degree $3$ and all faces are five-edged or six-edged. How many five-edged faces are there?
It was a question in one of ou... | {"extraction_info": {"found_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://worldwidescience.org/topicpages/b/bacterial+conjunctivitis+isolates.html | #### Sample records for bacterial conjunctivitis isolates
1. Bacterial Conjunctivitis
OpenAIRE
Köhle, Ülkü; Kükner, Şahap
2003-01-01
Conjunctivitis is an infection of the conjunctiva, generally characterized by irritation, itching, foreign body sensation, tearing and discharge. Bacterial conjunctivitis may be dist... | {"extraction_info": {"found_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://docs.dgl.ai/en/rying_test/generated/dgl.DGLGraph.__getitem__.html | # dgl.DGLGraph.__getitem__¶
DGLGraph.__getitem__(key)
Return the relation slice of this graph.
You can get a relation slice with self[srctype, etype, dsttype], where srctype, etype, and dsttype can be either a string or a full slice (:) representing wildcard (i.e. any source/edge/destination type).
A relation slice... | {"extraction_info": {"found_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://experts.syr.edu/en/publications/physics-based-modeling-of-experimental-data-encountered-in-cellul | # Physics-Based Modeling of Experimental Data Encountered in Cellular Wireless Communication
Tapan K. Sarkar, Heng Chen, Magdalena Salazar-Palma, Ming Da Zhu
Research output: Contribution to journalArticlepeer-review
2 Scopus citations
## Abstract
This paper presents a physics-based macro model that can predict wi... | {"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.thejach.com/view/2012/3/circus_math_considered_harmful | # Circus Math Considered Harmful
(I always wanted to use that phrase in a title.)
There's a problem with math education. I don't mean a specific field of math, but math in general. At every level of schooling, the problem rears its head. The problem even extends into other disciplines where the math is meant to be a ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://xrpp.iucr.org/Bb/ch1o5v0001/app1o5o1/ | International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli
International Tables for Crystallography (2010). Vol. B, ch. 1.5, p. 192 | 1 | 2 |
doi: 10.1107/97809553602060000762
## Appendix A1.5.1. Reciprocal-space groups
M. I. Aroyoa* and H. Wondratschekb
aDepartamento de Fisíca de la ... | {"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://eccc.weizmann.ac.il/report/2011/004/ | Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > DETAIL:
### Paper:
TR11-004 | 10th January 2011 15:54
#### On the complexity of computational problems regarding distributions (a survey)
TR11-004
Publication: 10th January 2011 15:54
Keywords:
Abstract:
We consider two basic computati... | {"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://astarmathsandphysics.com/university-maths-notes/matrices-and-linear-algebra/4356-solving-a-system-of-equations-by-reduction-to-row-reduced-echelon-form.html?tmpl=component&print=1&page= | ## Solving a System of Equations By Reduction to Row Reduced Echelon Form
Suppose we have a system of equations
$2x_1+2x_2-x_3+x_5=0$
$-x_1-x_2-2x_3-3x_4+x_5=0$
$x_1+x_2-2x_3-x_5=0$
$x_3+x_4+x_5=0$
We can represent this in matrix form as
$\left( \begin{array}{ccccc} 2 & 2 & -1 & 0 & 1 \\ -1 & -1 & 2 & -3 & 1 \\ 1 ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://motls.blogspot.com/2011/10/why-penrose-is-one-of-many-crackpots.html | ## Saturday, October 22, 2011 ... /////
### Why Penrose is one of many crackpots when it comes to inflation
When talking about cosmic inflation, Roger Penrose and many others display a complete lack of understanding of the principles of rational reasoning
Sean Carroll discusses cosmic inflation, especially the etern... | {"extraction_info": {"found_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://math.stackexchange.com/users/113323/l | # L__
less info
reputation
6
bio website location age 25 member for 11 months seen Nov 18 at 6:39 profile views 29
3 Set up but do not evaluate the integral representing the volume of the region $ax^2 + by^2 = r^2$ 2 what are the spherical coordinates 2 Radius of Curvature 2 Uncertainty in parallel resistors. 2 Proo... | {"extraction_info": {"found_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://eprints.imtlucca.it/405/ | # On Observing Dynamic Prioritised Actions in SOC
Pugliese, Rosario and Tiezzi, Francesco and Yoshida, Nobuko On Observing Dynamic Prioritised Actions in SOC. In: Automata, Languages and Programming (ICALP (2) 2009). Lecture Notes in Computer Science, 5556 . Springer, pp. 558-570. ISBN 978-3-642-02929-5 (2009)
Previ... | {"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.physicsforums.com/threads/break-frequencies-for-directly-coupled-transistors.190929/ | # Break frequencies for directly coupled transistors
1. Oct 13, 2007
### programmer
1. The problem statement, all variables and given/known data
The problem asks to determine the break frequency at the base of Q2 (which is fine I have no problem with that), but the whole assignment never asks for the break frequency... | {"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://my.remarkbox.com/embed/ns/mhluska.com/d0063ed4-b6d0-11e7-94b4-040140774501 | Russell 1y, 58d ago
Yes. If you click edit you should be able to change the thread's title.
root
kaushalmodi 1y, 58d ago
Got it. Thanks! | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.pveducation.org/zh-hans/biblio?f%5Bauthor%5D=296 | # Biblio
Export 3 results:
Author Title Type [ Year]
Filters: Author is Stefan W. Glunz [Clear All Filters]
2007
, A review and comparison of different methods to determine the series resistance of solar cells, Solar Energy Materials and Solar Cells, vol. 91, pp. 1698 - 1706, 2007.
2001
, Degradation of carrier lifet... | {"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://ian-r-rose.github.io/bus-bunching-1.html | ### Buses are bosons, or How I learned to stop worrying and love AC Transit (Part one)
If you have spent any amount of time using mass transit, you know the frustration of waiting for the better part of an hour for a bus to arrive, only to see two or three of them roll up in quick succession. This phenomenon is a comm... | {"extraction_info": {"found_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/146971-indices-question.html | 1. ## Indices question!
Given that $10^{2n} \times 5^{4-3n} = 2^x \times 5^y$, express y in terms of n.
Answer: $x = 2n$, $y = 4 - n$
I don't know how to begin, how do I get two answers from one given expression? Sorry if I sound dumb but any help will be greatly appreciated! Thanks in advance.
2. $10^{2n} \cdot 5^{... | {"extraction_info": {"found_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": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://hal.in2p3.fr/in2p3-01180876 | # Measurement of diffraction dissociation cross sections in pp collisions at sqrt(s) = 7 TeV
Abstract : Measurements of diffractive dissociation cross sections in pp collisions at sqrt(s) = 7 TeV are presented in kinematic regions defined by the masses M[X] and M[Y] of the two final-state hadronic systems separated by... | {"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://stats.stackexchange.com/questions/44769/understanding-p-value/44859 | # Understanding p-value
I know that there are lots of materials explaining p-value. However the concept is not easy to grasp firmly without further clarification.
Here is the definition of p-value from Wikipedia:
The p-value is the probability of obtaining a test statistic at least as extreme as the one that was act... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.love2d.org/forums/viewtopic.php?f=4&t=90912&p=240120&sid=47c356232af4d72372281900b50b89f2 | ## Using a Shader breaks Image:replacePixels on my system
Questions about the LÖVE API, installing LÖVE and other support related questions go here.
Forum rules
Before you make a thread asking for help, read this.
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### Using a Shader breaks Image:replacePi... | {"extraction_info": {"found_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://arxiv.org/abs/1002.4583 | cond-mat.dis-nn
(what is this?)
# Title: Towards Google matrix of brain
Authors: D.L.Shepelyansky, O.V.Zhirov (CNRS, Toulouse & BINP, Novosibirsk)
Abstract: We apply the approach of the Google matrix, used in computer science and World Wide Web, to description of properties of neuronal networks. The Google matrix ${... | {"extraction_info": {"found_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.ijert.org/comparison-of-various-thresholding-techniques-of-image-denoising | Comparison of Various Thresholding Techniques of Image Denoising
DOI : 10.17577/IJERTV2IS90812
Text Only Version
Comparison of Various Thresholding Techniques of Image Denoising
Shivani Mupparaju 1, B Naga Venkata Satya Durga Jahnavi 2
Department of ECE, VNR VJIET, Hyderabad, A.P, India
Abstract
Denoising using ... | {"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.physicsforums.com/threads/inductive-proof-4-n-n-4.547576/ | # Inductive proof 4^n >/ n^4
1. Nov 5, 2011
### IntroAnalysis
1. The problem statement, all variables and given/known data
n is an element of the Natural numbers, and n $\geq5$, then 4^n $\geq(n^4)$
2. Relevant equations
Base case: n=5, then 4^5=1024 >or= 5^4=625 as required.
3. The attempt at a solution
Inductive... | {"extraction_info": {"found_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/geometry/43977-3d-vector-geometry.html | ## 3D Vector Geometry
My first post, so would be very grateful if anyone could help...
I have a problem concerning the calculation of intercept points of lines on the surface of a cube.
Firstly consider a set of parallel lines that are heading towards a cube and travelling in the direction parallel to the x axis. Th... | {"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://codegolf.meta.stackexchange.com/questions/2140/sandbox-for-proposed-challenges/18563 | # Sandbox for Proposed Challenges
This "sandbox" is a place where Code Golf users can get feedback on prospective challenges they wish to post to main. This is useful because writing a clear and fully specified challenge on your first try can be difficult, and there is a much better chance of your challenge being well... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/374944/can-feature-normalization-lead-to-gradient-vanishing-problem | # Can feature normalization lead to gradient vanishing problem?
I generate 100000 sample at point 1,2,3,4 and 5 so total there are 5 lac samples. I have to classify data into 2 classes. I want to normalize the data in the range of zero to one. If I normalize a single feature in all the 1 lac samples at one point such ... | {"extraction_info": {"found_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... |