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https://gigaom.com/2008/11/05/californians-reject-energy-props-could-get-high-speed-rail/ | # Californians Reject Energy Props, Could Get High Speed Rail
Election results are still pouring in all around the country, and while the cleantech community is surely celebrating the new president elect, sorting out the results of California’s propositions is not as cut and dried. Californian’s have rejected Proposit... | {"extraction_info": {"found_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.springerprofessional.de/en/sensors-and-instrumentation-aircraft-aerospace-energy-harvesting/18430042 | main-content
Sensors and Instrumentation, Aircraft/Aerospace and Energy Harvesting, Volume 7: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020, the seventh volume of eight from the Conference brings together contributions to this important area of research and engineering. The col... | {"extraction_info": {"found_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/quick-simple-question-about-contraviant-and-covariant-components.594932/ | # Quick, simple question about contraviant and covariant components
1. Apr 9, 2012
### enfield
Can the covariant components of a vector, v, be thought of as v multiplied by a matrix of linearly independent vectors that span the vector space, and the contravariant components of the same vector, v, the vector v multip... | {"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/openAccessArticles?journalId=be993534-f1c4-4d7d-ac98-82dbd65b5341 | # American Institute of Mathematical Sciences
ISSN:
1930-5346
eISSN:
1930-5338
All Issues
## Advances in Mathematics of Communications
Open Access Articles
2020 doi: 10.3934/amc.2020073 +[Abstract](393) +[HTML](234) +[PDF](438.53KB)
Abstract:
Number theoretic public-key solutions, currently used in many applicat... | {"extraction_info": {"found_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://pure.au.dk/portal/en/publications/on-shrinking-targets-for-zm-actions-on-tori(29c74310-dbd3-11dd-9710-000ea68e967b).html | # Department of Mathematics
## On shrinking targets for Zm actions on tori
Research output: Working paper
Let $~A$ be an $~n \times m$ matrix with real entries. Consider the set $~\mathbf{Bad}_A$ of $~\mathbf{x} \in [0,1)^n$ for which there exists a constant $~c(\mathbf{x})>0$ such that for any $~\mathbf{q} \in \mat... | {"extraction_info": {"found_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": 10, "/images/ma... |
https://diffeq.sciml.ai/latest/tutorials/faster_ode_example/ | # Code Optimization for Differential Equations
Note
See this FAQ for information on common pitfalls and how to improve performance.
## Code Optimization in Julia
Before starting this tutorial, we recommend the reader to check out one of the many tutorials for optimization Julia code. The following is an incomplete ... | {"extraction_info": {"found_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... |
http://nrich.maths.org/646 | ### Some(?) of the Parts
A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle | {"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.purplemath.com/learning/viewtopic.php?f=17&t=534 | ## A recent study indicated that 20% of adults exercise... Find
Standard deviation, mean, variance, z-scores, t-tests, etc.
### A recent study indicated that 20% of adults exercise... Find
A recent study indicated that twenty percent of adults exercise regularly. Suppose that five adults are selected at random. Use ... | {"extraction_info": {"found_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": 3, "/images/mat... |
https://ftp.aimsciences.org/article/doi/10.3934/amc.2019021 | # American Institute of Mathematical Sciences
May 2019, 13(2): 313-328. doi: 10.3934/amc.2019021
## Symmetries of weight enumerators and applications to Reed-Muller codes
1 Université Paris 8, LAGA, CNRS (UMR 7539), Université Paris 13, Sorbonne Paris Cité, F-93526 Saint-Denis, France 2 Universität Bern, Mathemati... | {"extraction_info": {"found_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://tex.stackexchange.com/questions/61848/how-to-make-tikz-multipart-node-parts-have-uniform-size | # How to make tikz multipart node parts have uniform size?
When making boxed nodes in TikZ, a common requirement is that the nodes be of equal size. Because TikZ automatically adjusts the size of nodes to fit the contents of the node, this is usually done by setting a minimum size for the nodes, and setting the inner ... | {"extraction_info": {"found_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://nepalinlp.com/detail/approaches-to-predicting-part-of-speech-tags-of-unknown-words/ | by Ingroj Shrestha on Nov. 8, 2017
One of the challenges faced by statistical part-of-speech taggers is the presence of words in test datasets that do not exist in the training dataset. Such words are called unknown words. In this blog post we'll look into different ways to tag unknown words.
A statistical part-of-sp... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/26826/quantum-statistics-of-branes?answertab=votes | # Quantum statistics of branes
Quantum statistics of particles (bosons, fermions, anyons) arises due to the possible topologies of curves in D-dimensional spacetime winding around each other
What happens if we replace particles by branes? It seems like their quantum statistics should be described by something like a ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ideals.illinois.edu/browse?type=subject&value=Philosophy%20of%20Language | # Browse by Subject "Philosophy of Language"
• (2014-01-16)
Classical logic and a given nonclassical logic are, by definition, incompatible in some sense. In some cases, this incompatibility is innocuous. In other cases, the nonclassical logic is incompatible with classical logic ...
application/pdf
PDF (460Kb)
• (2... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://brilliant.org/problems/answer-within-a-minute-iv-corrected/ | # Answer Within A Minute IV (Corrected)
Algebra Level 1
Evaluate the following expression:
$123456789^{2} - (123456788 \times 123456790).$
If you use a calculator whose precision is not strong enough to answer this question, then you will answer this problem incorrectly.
× | {"extraction_info": {"found_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://gateoverflow.in/1062/gate2004-68 | 7k views
A hard disk with a transfer rate of $10$ Mbytes/second is constantly transferring data to memory using DMA. The processor runs at $600$ MHz, and takes $300$ and $900$ clock cycles to initiate and complete DMA transfer respectively. If the size of the transfer is $20$ Kbytes, what is the percentage of processo... | {"extraction_info": {"found_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://vismor.com/documents/network_analysis/graph_algorithms/S1.SS6.php | 1.6 Acyclic Graph
A directed graph with no cycles is called directed acyclic graph or a DAG for short. An acyclic digraph has at least one vertex with an out-degree of zero.
Figure 4 shows a variant of the directed graph of Figure 1 that contains no cycles. You will observe that vertex 4 has an out-degree of zero.
A... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 22, "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.r-bloggers.com/2012/11/matching-clustering-solutions-using-the-hungarian-method/ | Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
Some time ago I stumbled upon a problem connected with the labels of a clustering. The partition an instance belongs to, is mostly labeled through an integer ranging from 1 to K, where k is the number of clusters. The task a... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://semantic-domain.blogspot.ca/2011/ | ## Monday, December 19, 2011
### Adding Equations to System F, at ESOP 2012
Our paper on adding equations to system F was accepted to ESOP 2012!
The reviewers suggested rather a lot of improvements to the paper, so I'm taking the draft down while we incorporate their suggestions. It will go up again in a few weeks, ... | {"extraction_info": {"found_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://bdlisle.com/wp5okk/water-wave-symbol-text-9b0fdb | You can put them in Facebook, Instagram Youtube, etc. It's also a good text effect to use for cruises or boat related topics. ˙˚ʚ(´ )ɞ˚˙ The symbol for the wave number is k and has units of inverse meters, m −1: $k \equiv \frac{2 \pi}{\lambda} \label{16.2}$ Recall from Oscillations that the angular frequency is defined... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Enzyme_inhibitor | # Enzyme inhibitor
A figure comparing the three types of enzyme inhibitors and how they work in regards to substrate binding sites and inhibitors binding sites.
An enzyme binding site that would normally bind substrate can alternatively bind a competitive inhibitor, preventing substrate access. Dihydrofolate reductase... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 10, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://telescopeauthority.com/brightness-and-magnitude-in-astronomy/ | • Home /
• Guides
• / Brightness and Magnitude in Astronomy
# Brightness and Magnitude in Astronomy
3 years ago
Magnitude is an astronomical term that is used to describe precisely how bright a stellar object is. It can be done with both objective scientific measurements and a more qualitative classification of h... | {"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/questions/264250/notation-in-set-theory-applied-to-counters | # Notation in set theory applied to counters
I have written a notation representing a counter for a condition:
$M \leftarrow \displaystyle \sum_{i =1}^{|X|} [B_j = X_i]$
So far this gives me a number for a specific j (the counter), but I want to turn this into a set for all values of j in such a way M is representin... | {"extraction_info": {"found_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://geo.libretexts.org/Bookshelves/Meteorology/Book%3A_Practical_Meteorology_(Stull)/22%3A_Atmospheric_Optics/22.00%3A_New_Page | # 22.1: Ray Geometry
When a monochromatic (single color) light ray reaches an interface between two media such as air and water, a portion of the incident light from the air can be reflected back into the air, some can be refracted as it enters the water (Fig. 22.1), and some can be absorbed and changed into heat (not... | {"extraction_info": {"found_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://mersenneforum.org/showthread.php?s=068ac4b4a2a4412184ffec9d46066970&p=587872 | mersenneforum.org Reserved for MF - Sequence 4788
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2021-08-31, 16:51 #3092 bur Aug 2020 5*10398e-4;3*2539e-3 5·7·11 Posts If it makes sense I could also test-sieve, though only with 10 cores. If so, which would be a good set of parameters?
2021-08-31, 18:52 #309... | {"extraction_info": {"found_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/discussions/thread/fr-rating-historyplots/ | # FR: rating history/plots
After the new rating system was introduced, I found myself wondering if my rating was actually increasing or decreasing over time, yet there was no obvious way to find this out (except for writing all of my ratings down in the beginning of a week). Plots of participant's ratings in each topi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 8, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-differentiate-g-y-x-2-2x-1-4-4x-6-5-using-the-product-rule | Calculus
Topics
# How do you differentiate g(y) =(x^2 - 2x + 1)^4 (4x^6 + 5) using the product rule?
Jun 13, 2018
Treat the two terms as a normal product rule, but then use the chain rule on the first function when differentiating to get the full solution: $g ' \left(x\right) = 8 {\left(x - 1\right)}^{7} \left(7 {x... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 23, "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... |
http://mathhelpforum.com/calculus/79297-help-natural-logs.html | # Math Help - help with natural logs
1. ## help with natural logs
I am trying to brush up on logs and I am having a hard time finding some more challenging problems. Here is an example of one.
$ln\frac{{(2x+3)^5}{\sqrt{4-sinx}}}{{(9+e^{3x})}{(9-2x)^4}}$
I am looking to practice more problems like this one. For exam... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://sourceforge.net/p/hugin/hugin/ci/8f0f49ab22cc45a0541e5da0ca6402b1861f31a0/tree/src/foreign/vigra/stdimagefunctions.hxx | Work at SourceForge, help us to make it a better place! We have an immediate need for a Support Technician in our San Francisco or Denver office.
## [8f0f49]: src / foreign / vigra / stdimagefunctions.hxx Maximize Restore History
Download this file
### stdimagefunctions.hxx 97 lines (88 with data), 4.8 kB
1 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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://link.springer.com/chapter/10.1007%2F978-3-642-10217-2_15 | IWOCA 2009: Combinatorial Algorithms pp 125-133
# Note on Decomposition of Kn,n into (0,j)-prisms
• Sylwia Cichacz
• Dalibor Fronček
• Petr Kovář
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5874)
## Abstract
R. Häggkvist proved that every 3-regular bipartite graph of ord... | {"extraction_info": {"found_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://mattbaker.blog/2014/04/ | # Effective Chabauty
One of the deepest and most important results in number theory is the Mordell Conjecture, proved by Faltings (and independently by Vojta shortly thereafter). It asserts that if $X / {\mathbf Q}$ is an algebraic curve of genus at least 2, then the set $X({\mathbf Q})$ of rational points on $X$ is f... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 7, "mimetex.cgi": 0, "/images/mat... |
https://deepai.org/publication/linear-tsne-optimization-for-the-web | DeepAI
# Linear tSNE optimization for the Web
The t-distributed Stochastic Neighbor Embedding (tSNE) algorithm has become in recent years one of the most used and insightful techniques for the exploratory data analysis of high-dimensional data. tSNE reveals clusters of high-dimensional data points at different scales... | {"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-common-core-15th-edition/chapter-7-exponents-and-exponential-functions-7-8-geometric-sequences-practice-and-problem-solving-exercises-page-470/29 | Algebra 1: Common Core (15th Edition)
The recursive formula is $a_{1}$=1 and $a_{n}$=$a_{n-1}$ $\times$ 5.
Use the recursive formula $a_{1}$=1, $a_{n}$=$a_{n-1}$$\times$r. The starting value is 1 so it is the $a_{1}$ You have the sequence 1,5,25 so use the common ratio formula(r=$\frac{{a_{2}}}{{a_{1}}}$) r=$\frac{5}{... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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We have four boxes, each of which contains ten coloured balls: Box 1 contains 4 re... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chem.libretexts.org/Courses/Lumen_Learning/Book%3A_Statistics_for_the_Social_Sciences_(Lumen)/02%3A_1-_Types_of_Statistical_Studies_and_Producing_Data/2.12%3A_Sampling_(1_of_2) | # 2.12: Sampling (1 of 2)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand... | {"extraction_info": {"found_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.varsitytutors.com/hotmath/hotmath_help/topics/converting-fractions-to-decimals.html | # Converting Fractions to Decimals
To convert a fraction to a decimal, just divide the numerator by the denominator .
Example 1:
Write $\frac{3}{15}$ as a decimal.
Since $15$ is larger than $3$ , in order to divide, we must add a decimal point and some zeroes after the $3$ . We may not know how many zeroes to add ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 11, "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.leunkim.com/tag/hyperbolic/ | # [M2 Seminar I] Week 1~4 : $\sqrt{\log t}$를 달기 위한 여정의 시작
[latexpage] 블로그 활동이 너무 뜸해서 연구일지나 쓰려고 합니다. 구체적인 연구내용이나, 세미나 발표자료들은 연구가 끝나는 대로 공개하도록 하겠습니다! 2013년 4월 12일 (금) 본격적인 M2 세미나가 시작되었다. 지도교수로부터 1-dimensional Klein-Gordon equation에 대한 여러 논문들을 추천받아 왔다. 방콕모드를 가동시켜서 일단 받아 온 논문들을 … Continue reading
# [M1 Seminar II] Week 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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bio.libretexts.org/Bookshelves/Introductory_and_General_Biology/Book%3A_General_Biology_(OpenStax)/5%3A_Biological_Diversity/29%3A_Vertebrates/29.5%3A_Birds | # 29.5: Birds
Skills to Develop
• Describe the evolutionary history of birds
• Describe the derived characteristics in birds that facilitate flight
The most obvious characteristic that sets birds apart from other modern vertebrates is the presence of feathers, which are modified scales. While vertebrates like bats f... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/trigonometry/206479-require-help-projectiles-trigonometry-question-print.html | require help on projectiles and trigonometry question
• October 31st 2012, 08:12 AM
aidanbk
1 Attachment(s)
require help on projectiles and trigonometry question
Hi all, I'd be extremely grateful if anyone could point me in the right direction on this question as I've been looking at it for half an hour now and nothin... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://motls.blogspot.com/2014/02/universe-is-maths-but-only-some-maths.html | ## Thursday, February 13, 2014 ... /////
### Universe is maths, but only some maths is relevant or true
Max Tegmark of MIT has released his book, Our Mathematical Universe: My Quest for the Ultimate Nature of Reality, a month ago and it just appeared in the Kindle edition, too.
I won't write a full-fledged review, 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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Six_factor_formula | # Six factor formula
The six-factor formula is used in nuclear engineering to determine the multiplication of a nuclear chain reaction in a non-infinite medium. The formula is[1]
$k = \eta f p \varepsilon P_{FNL} P_{TNL}$
Symbol Name Meaning Formula Typical Thermal Reactor Value
$\eta$ Thermal Fission Factor (Eta) 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": 37, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://love2d.org/forums/viewtopic.php?f=4&t=2093&start=50&sid=973625a2afda428995211ade00a3df65 | ## Camera Shake? / Collisions / Enemies...
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.
Ryne
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Posts: 444
Joined: Fri Jan 29, 2010 11:10 am
### Re: Camera Shake? / Collisions / Enemies...
Robin w... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://email.esm.psu.edu/pipermail/macosx-tex/2008-July/035922.html | # texwork (was Re: [OS X TeX] synctex)
Mon Jul 14 08:00:29 EDT 2008
On Jul 11, 2008, at 12:50 PM, Richard Koch wrote:
> On Jul 11, 2008, at 8:28 AM, William Adams wrote:
>
>> \begin{historicnitpicking}
>>
>> To be fair, I think it'd be nice to mention that TeXshop in turn
>> was inspired by TeXview.app on NeXTstep..... | {"extraction_info": {"found_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/statistics/25288-binomial-probability-graphing-calculator.html | # Thread: Binomial Probability on graphing calculator
1. ## Binomial Probability on graphing calculator
These questions are to be done on a graphing calculator. The questions give n, p, x but I am having difficulty figuring out what is what.
1. In a history class, Colin and Diana both write a multiple choice quiz. 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... |
https://asmedigitalcollection.asme.org/PVP/proceedings-abstract/PVP2018/51623/V03AT03A036/277567 | Some fixed tubesheet heat exchangers suffer amount of system startup and shutdown causing large thermal stress for tubesheets. It will make an impact on the fatigue damage of the equipment. Transient thermal and stress analysis were carried out in many papers, but the geometry models were simplified, the non-expanded 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://mathhelpforum.com/calculus/92603-expansion-problem-print.html | # Expansion problem
• Jun 11th 2009, 09:36 PM
jimmyp
Expansion problem
All edges of a cube are expanding at a rate of 3cm per second. How fast is the surface area changing when each edge is (a) 1cm and (b) 10 cm?
Not sure how to approach the probme. (Wait)(Crying)
• Jun 11th 2009, 10:06 PM
alexmahone
$S=6a^2$
$\frac{... | {"extraction_info": {"found_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://curriculum.illustrativemathematics.org/MS/students/3/2/5/index.html | Lesson 5
More Dilations
Let’s look at dilations in the coordinate plane.
5.1: Many Dilations of a Triangle
Explore the applet and observe the dilation of triangle $$ABC$$. The dilation always uses center $$P$$, but you can change the scale factor. What connections can you make between the scale factor and the dilat... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathtuition88.com/tag/calculator/ | Best Calculator for Linear Algebra and Calculus
Many universities and colleges allow students to use advanced graphical calculators for exams in math courses, including linear algebra, calculus and engineering. Having the appropriate calculator can prove to be a huge advantage in terms of getting the correct answer an... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 2, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/236151/conjugacy-classes-of-mathrmsl-2-mathbbz/236162 | # Conjugacy classes of $\mathrm{SL}_2(\mathbb{Z})$
I was wondering if there is some description known for the conjugacy classes of $$\mathrm{SL}_2(\mathbb{Z})=\{A\in \mathrm{GL}_2(\mathbb{Z})|\;\;|\det(A)|=1\}.$$ I was not able to find anything about this. Most references only give solutions for $$\mathrm{SL}_2(\mathb... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.jiskha.com/members/profile/posts.cgi?name=Ali&page=6 | # Posts by Ali
Total # Posts: 834
Science
thank you sooooo much!
Science
Was Daniel Bernoulli for the atomic theory or against it and explain why?
english
can anyone help me with explicationg act 3 scene 1 (setting) (charcater) (plot) (theme) of macbeth?
math
The force F (in Newtons) required to move a box of mass... | {"extraction_info": {"found_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://cms.math.ca/cmb/kw/Toeplitz%20operators | Toeplitz Algebras and Extensions of\\Irrational Rotation Algebras For a given irrational number $\theta$, we define Toeplitz operators with symbols in the irrational rotation algebra ${\mathcal A}_\theta$, and we show that the $C^*$-algebra $\mathcal T({\mathcal A}_\theta)$ generated by these Toeplitz operators is an 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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Subtractor | # Subtractor
Jump to: navigation, search
In electronics, a subtractor can be designed using the same approach as that of an adder. The binary subtraction process is summarized below. As with an adder, in the general case of calculations on multi-bit numbers, three bits are involved in performing the subtraction for e... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 47, "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://chat.stackexchange.com/transcript/41?m=47862121 | 2:42 AM
@marmot -- (coming late to the discussion.) i think the "do-it-for-me" questions that have raised the most annoyance are ones that were clearly homework questions from a student. in the past there have been times when multiple instances of exactly the same image with the question "how to get this result?" have ... | {"extraction_info": {"found_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/1804.06884 | math.CV
# Title:On the normal bundle of Levi-flat real hypersurfaces
Abstract: Let $X$ be a connected complex manifold of dimension $\geq 3$ and $M$ a smooth compact Levi-flat real hypersurface in $X$. We show that the normal bundle to the Levi foliation does not admit a Hermitian metric with positive curvature along... | {"extraction_info": {"found_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://lavalle.pl/planning/node204.html | #### Making good grids
Optimizing dispersion forces the points to be distributed more uniformly over . This causes them to fail statistical tests, but the point distribution is often better for motion planning purposes. Consider the best way to reduce dispersion if is the metric and . Suppose that the number of sample... | {"extraction_info": {"found_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://runescape.wiki/w/Archmage_Sedridor | # Archmage Sedridor
Sedridor is the current archmage of the second Wizards' Tower, which trains wizards in the magical arts. He can be found in his office on the 2nd floor[UK]3rd floor[US] of the tower.
He is an avid drinker of Wizard's mind bombs, with Wizard Shug stating that he could rival a Fremennik in a drinkin... | {"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... |
https://docs.scipy.org/doc/scipy-1.3.3/reference/generated/scipy.sparse.linalg.minres.html | # scipy.sparse.linalg.minres¶
scipy.sparse.linalg.minres(A, b, x0=None, shift=0.0, tol=1e-05, maxiter=None, M=None, callback=None, show=False, check=False)[source]
Use MINimum RESidual iteration to solve Ax=b
MINRES minimizes norm(A*x - b) for a real symmetric matrix A. Unlike the Conjugate Gradient method, A can be... | {"extraction_info": {"found_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://thespectrumofriemannium.wordpress.com/2012/09/01/log026-boosts-rapidity-hep/ | # LOG#026. Boosts, rapidity, HEP.
In euclidean two dimensional space, rotations are easy to understand in terms of matrices and trigonometric functions. A plane rotation is given by:
$\boxed{\begin{pmatrix}x'\\ y'\end{pmatrix}=\begin{pmatrix}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{pmatrix}\begin{... | {"extraction_info": {"found_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": 62, "mimetex.cgi": 0, "/images/ma... |
https://openstax.org/books/introductory-business-statistics/pages/10-4-comparing-two-independent-population-proportions | # 10.4Comparing Two Independent Population Proportions
Introductory Business Statistics10.4 Comparing Two Independent Population Proportions
When conducting a hypothesis test that compares two independent population proportions, the following characteristics should be present:
1. The two independent samples are rand... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 15, "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.transtutors.com/questions/a-uniform-thin-rod-of-length-0-500-m-and-mass-4-00-kg-can-431277.htm | +1.617.933.5480
# Q: A uniform thin rod of length 0.500 m and mass 4.00 kg can
A uniform thin rod of length 0.60 m and mass 3.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.0 g bullet traveling in the rotation plane is fired into one end of the rod. As view... | {"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://link.springer.com/chapter/10.1007/978-1-4419-6594-3_30 | Springer Optimization and Its Applications Volume 42, 2011, pp 447-460
Date: 02 Sep 2010
# Context Hidden Markov Model for Named Entity Recognition
* Final gross prices may vary according to local VAT.
## Abstract
Named entity (NE) recognition is a core technology for understanding low-level semantics of texts. In ... | {"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.arxiv-vanity.com/papers/1002.0145/ | # From Sylvester-Gallai Configurations to Rank Bounds: Improved Black-box Identity Test for Depth-3 Circuits
###### Abstract.
We study the problem of identity testing for depth- circuits of top fanin and degree (called identities). We give a new structure theorem for such identities. A direct application of our theor... | {"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://petegustafson.com/CalculiX/ccx_2.15/doc/ccx/node181.html | Next: Green functions Up: Types of analysis Previous: Electromagnetism Contents
### Sensitivity
A sensitivity analysis calculates how a variable G (called the objective function) changes with some other variables s (called the design variables), i.e. DG/Ds.
If s are the coordinates of some nodes, then the objectiv... | {"extraction_info": {"found_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/printthread.php?t=665484 | Physics Forums (http://www.physicsforums.com/index.php)
- Introductory Physics Homework (http://www.physicsforums.com/forumdisplay.php?f=153)
- - Electric field at a distance from a charged disk (http://www.physicsforums.com/showthread.php?t=665484)
kb1408 Jan20-13 02:05 AM
Electric field at a distance from a ... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://peeterjoot.wordpress.com/tag/pressure/ | • 328,167
# Posts Tagged ‘pressure’
## A final pre-exam update of my notes compilation for ‘PHY452H1S Basic Statistical Mechanics’, Taught by Prof. Arun Paramekanti
Posted by peeterjoot on April 22, 2013
Here’s my third update of my notes compilation for this course, including all of the following:
April 21, 2013 ... | {"extraction_info": {"found_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": 302, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/188195/inverse-of-binary-entropy-function-for-0-le-x-le-frac12?answertab=votes | # Inverse of binary entropy function for $0 \le x \le \frac{1}{2}$
I'm trying to find the inverse of $H_2(x) = -x \log_2 x - (1-x) \log_2 (1-x)$[1] subject to $0 \le x \le \frac{1}{2}$. This is for a computation, so an approximation is good enough.
My approach was to take the Taylor series at $x=\frac{1}{4}$, cut it ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/check-the-working-set.9088/ | # Check the working ( set )
1. Nov 17, 2003
### denian
using algebraic laws of sets, show that, for any set A and set B that
( A U B ) [inter] ( A U B' ) = A
this is my working
( A U B ) [inter] ( A U B' )
= A U ( B [inter] A ) U ( B [inter] B' )
= ( A U B ) [inter] ( A U A )
= ( A U B ) [inter] A
= A U ( B [... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://brilliant.org/problems/lucas-numbers/ | # Luca's numbers....
Just like Fibonacci numbers , there are $$\color{Blue}{Luca's}$$ numbers... They are defined by following recurrence relation. $L_0=2$ $L_1 =1$ $\text{and}$ $L_n = L_{n-1} + L_{n-2}$
Find the value of $$\displaystyle \sum_{n=0} ^{10} L_n$$
Note :- I read about Luca's numbers at this problem in 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://mathematica.stackexchange.com/questions/11352/efficient-dynamic-drawing/11354 | # Efficient dynamic drawing
So for example I have this code:
points = {}; k = 0;
Dynamic@k
Dynamic@Graphics[Point@points]
x = .1; y = .3; K = .9;
While[True,
k++;
{x, y} = {FractionalPart[x + K y], FractionalPart[x]};
AppendTo[points, {x, y}];
]
The problem is that the list of points is growing and it slows down w... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://wealoneonearth.blogspot.de/2012/01/ | ## 20120129
### Review: The Art of the Long View
I've been calling myself a futurist for the past five years, and for five years, I've been lying. But no longer, because I've read this book, which is every bit as a thought-provoking as Science Fiction for Prototyping proved disappointing. Peter Schwartz is one of the... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zh-cn.unz.com/pgiraldi/john-brennans-cia-trump-task-force/?showcomments | 博客浏览菲利普·吉拉迪（Philip Giraldi）档案
记住我的信息
=>
• B
6年2017月XNUMX日，就在特朗普就职前不久，俄罗斯的“选举干扰”叙事一直是类固醇，当时由克拉珀（Clapper）和布伦南（Brennan）策划的“情报界评估”（ICA）得以发表。 次日本身就是“深州”的组成部分的纽约头上的大标题，为接下来的事情定下了基调：“普京领导向特朗普提供援助的计划，报道说。”
[]
1. The magic words are “FISA warrants”.
The entire FISA court process has been exposed as an insane sham.
“The S... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://models.street-artists.org/2017/03/08/bet-proofness-as-a-property-of-confidence-interval-construction-procedures-not-realized-intervals/comment-page-1/ | There was a bunch of discussion over at Andrew Gelman's blog about "bet proof" interpretations of confidence intervals. The relevant paper is here.
The basic principal of bet-proofness was essentially that if a sample of data X comes from a RNG with known distribution $D(\Theta)$ that has some parameter $\Theta$, then... | {"extraction_info": {"found_math": true, "script_math_tex": 12, "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": 12, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://weberblog.net/considerations-about-ipsec-pre-shared-keys-psks/?replytocom=47231 | # Considerations about IPsec Pre-Shared Keys
Pre-shared keys (PSK) are the most common authentication method for site-to-site IPsec VPN tunnels. So what’s to say about the security of PSKs? What is its role for the network security? How complex should PSKs be? Should they be stored additionally? What happens if an att... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 1, "mimetex.cgi": 0, "/images/mat... |
http://fluidsengineering.asmedigitalcollection.asme.org/article.aspx?articleid=1436023 | 0
Research Papers: Fundamental Issues and Canonical Flows
# Patterns of Airflow in Circular Tubes Caused by a Corona Jet With Concentric and Eccentric Wire Electrodes
[+] Author and Article Information
Reza Baghaei Lakeh
Department of Mechanical Engineering, Southern Illinois University Edwardsville, Edwardsville, I... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "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://mathoverflow.net/questions/87022/kernel-of-the-representation-of-the-mapping-class-group-to-autf-n | # Kernel of the representation of the mapping class group to $Aut(F_n)$
Let $S_{g,1}$ be a orientable compact surface of genus $g$ with one boundary component and $\Gamma_{g,1}$ the mapping class group. By $F_n$ I denote the free group on $n$ generators.
One obtains a representation $\rho: \Gamma_{g,1} \rightarrow Au... | {"extraction_info": {"found_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/118311-diagonalizable-matrices.html | ## Diagonalizable Matrices
If a matrix has complex eigenvalues, can it be diagonalizable? Furthermore, what ratio of square matrices will be diagonalizable? Does it vary with the size of the matrix?
I'm working on a project and these questions came up and will effect which direction I end up taking it. | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://codegolf.stackexchange.com/questions/24681/self-containing-logs/24683 | # The "problem"
Define a function log (or other 3 letter name) which when called will log/print/write (whatever is the default for the language in question) both the instruction (as source) and the first argument. In other words:
i=777
j=333
log(i) //outputs: "log(i) 777"
log(i+j+1) //outputs: "log(i+j+1) 1111"
For... | {"extraction_info": {"found_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://chemistry.stackexchange.com/questions/49642/is-axis-of-symmetry-considered-a-true-symmetry | # Is axis of symmetry considered a true symmetry?
In most of the books when i read about optical activity of a compound this is what they say:
A compound that does not posses any kind of symmetry is optically active. In other words chiral compounds without having any kind of of symmetry are optically active.
However... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.cl.cam.ac.uk/~jrh13/hol-light/HTML/term_order.html | term_order : term -> term -> bool
SYNOPSIS
Term order for use in AC-rewriting.
DESCRIPTION
This binary predicate implements a crude but fairly efficient ordering on terms that is appropriate for ensuring that ordered rewriting will perform normalization.
FAILURE CONDITIONS
Never fails.
EXAMPLE
This example shows ho... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/87743/weight-constrained-shortest-path-problem-variants | # weight constrained shortest path problem variants
Given a graph $G=(V,E)$, metric spaces $\delta:E\rightarrow \mathbb{Z}^{+}$ and $w:E\rightarrow \mathbb{Z}^{+}$, terminal vertices $s,t\in V$, do there exists $s\rightarrow t$ path $P=(V_{p},E_{p})$ such that $\sum_{e\in E_{p}} w(e) \leq W$ and $\sum_{e\in E_{p}} \de... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/154510/wave-particle-duality-as-result-of-taking-different-limits-of-a-qft | Wave/particle-duality as result of taking different limits of a QFT
There is an account on dualities in quantum field theories and string theories by Polchinski from last week
http://arxiv.org/abs/1412.5704
At the end of page 4, he writes the wave/particle dichotomy arises from different limits you can take in a qua... | {"extraction_info": {"found_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://repository.aust.edu.ng/xmlui/handle/123456789/3902?show=full | # The monotone wrapped Fukaya category and the open-closed string map
dc.creator Ritter, Alexander F dc.creator Smith, Ivan dc.date.accessioned 2016-07-19 dc.date.accessioned 2018-11-24T23:26:51Z dc.date.available 2016-09-13T09:31:29Z dc.date.available 2018-11-24T23:26:51Z dc.date.issued 2016-08-09 dc.identifier http... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Cayley-Dickson_construction | # Cayley–Dickson construction
(Redirected from Cayley-Dickson construction)
In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. The algebras produced by... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 34, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/how-do-we-formalize-the-following-for-all-natural-nos.521923/ | How do we formalize the following:For all natural Nos :
1. Aug 16, 2011
solakis
How do we formalize the following:
For all natural Nos : $n^2$ is even$\Rightarrow$ n is even
2. Aug 16, 2011
Rasalhague
Re: formalization
Here's one way:
$$(\forall n \in \mathbb{N})[((\exists p \in \mathbb{N})[n^2=2p])\Rightarrow... | {"extraction_info": {"found_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://mathematica.stackexchange.com/users/2983/luser-droog?tab=activity&sort=comments | # luser droog
less info
reputation
2
bio website code.google.com/p/xpost location St. Louis, MO age 34 member for 7 months seen Apr 20 at 6:00 profile views 1
I've written a postscript interpreter and a postscript debugger as well as some pretty pictures, available at http://code.google.com/p/xpost/downloads/list. Xp... | {"extraction_info": {"found_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://parasol-lab.gitlab.io/stapl-home/docs/sgl/creation/generators/make_torus_3D.html | # make_torus_3D
Defined in <stapl/containers/graph/generators/torus_3D.hpp>
template<typename GraphView>
GraphView make_torus_3D(size_t nx,size_t ny,size_t nz,bool bidirectional)
## Summary
Generates an x-by-y-by-z 3D torus.
The generated torus will have x vertices in the horizontal direction, y vertices in the v... | {"extraction_info": {"found_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/5746/second-order-taylor-method-to-solve-system-of-equations | # Second order Taylor method to solve system of equations
How do I use second order Taylor method to solve a system of non-linear equations? Is there a good reference that gives details? I found mentions of it in a dozen of numerical analysis books, but no examples
Specifically, $f:\mathbb{R}^n \to \mathbb{R}^m$, sol... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://link.springer.com/chapter/10.1007/978-3-642-03869-3_41 | Euro-Par 2009: Euro-Par 2009 Parallel Processing pp 417-428
# MapReduce Programming Model for .NET-Based Cloud Computing
• Chao Jin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5704)
## Abstract
Recently many large scale computer systems are built in order to meet the hig... | {"extraction_info": {"found_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://vr-spec.readthedocs.io/en/1.0rc/terms_and_model.html | # Terminology & Information Model¶
When biologists define terms in order to describe phenomena and observations, they rely on a background of human experience and intelligence for interpretation. Definitions may be abstract, perhaps correctly reflecting uncertainty of our understanding at the time. Unfortunately, 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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blogs.mathworks.com/developer/2016/05/31/scaling-fibonacci/ | # Small Fibs Eventually Become Large Fibs – Another exercise in scaling
OK, I had way too much fun writing that last blog post exploring algorithmic scaling. I want to explore this a bit more with a some "real" code, and what is more real than a function to calculate the lovely fibonacci number, the darling of intervi... | {"extraction_info": {"found_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://www.zora.uzh.ch/27116/ | # Translated Poisson approximation to equilibrium distributions of Markov population processes
Socoll, S N; Barbour, A D (2010). Translated Poisson approximation to equilibrium distributions of Markov population processes. Methodology and Computing in Applied Probability, 12(4):567-586.
## Abstract
The paper is conc... | {"extraction_info": {"found_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://www2.ccs.tsukuba.ac.jp/Astro/achievements/ja/2021/11/01/inoue2021a/ | # 研究成果・発表論文
## Fragmentation of ring galaxies and transformation to clumpy galaxies
### Inoue, Shigeki, Yoshida, Naoki, & Hernquist, Lars
##### 要旨
We study the fragmentation of collisional ring galaxies (CRGs) using a linear perturbation analysis that computes the physical conditions of gravitational instabilit... | {"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/summer-assignment-resulting-slick.128419/ | # Summer Assignment - resulting slick
1. Aug 8, 2006
Ive seen questions like this one done here before but I dont think im understanding this well. The question is:
Suppose 300 cubic meters of oil is spilled into the ocean. Find the are of the resulting slick, assuming that it is one molecule thick, and each moelcul... | {"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://arizona.pure.elsevier.com/en/publications/impulse-entrainment-computer-simulations-and-studies-on-the-paral | # Impulse entrainment: Computer simulations and studies on the parallel fibers of the cerebellum
J. D. Kocsis, K. L. Cummins, S. G. Waxman, R. C. Malenka
Research output: Contribution to journalArticlepeer-review
5 Scopus citations
## Abstract
The interspike interval for a pair of propagating impulses was studied ... | {"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://nrich.maths.org/8059/note?nomenu=1 | ## Two Numbers Under the Microscope
Choose any two odd numbers, such as $5$ and $9$. Add them together.
Draw a picture or make a model to show how the numbers add together.
Adam found some dominoes with $5$ and $9$ spots on them:
Abdul drew a picture of $5$ add $9$ like this:
Look closely at the models and picture... | {"extraction_info": {"found_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/precalculus/precalculus-6th-edition-blitzer/chapter-9-section-9-3-the-parabola-exercise-set-page-996/15 | ## Precalculus (6th Edition) Blitzer
focus $(0,-\frac{1}{8})$, directrix $y=\frac{1}{8}$ see graph.
Step 1. Rewriting the equation as $x^2=-\frac{1}{2}y$, we have $4p=-\frac{1}{2}$ and $p=-\frac{1}{8}$ with the parabola opening downwards and vertex at $(0,0)$. Step 2. We can find the focus at $(0,-\frac{1}{8})$ and di... | {"extraction_info": {"found_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://support.sas.com/documentation/cdl/en/statug/68162/HTML/default/statug_hpfmm_syntax02.htm | # The HPFMM Procedure
### BAYES Statement
• BAYES bayes-options;
The BAYES statement requests that the parameters of the model be estimated by Markov chain Monte Carlo sampling techniques. The HPFMM procedure can estimate by maximum likelihood the parameters of all models supported by the procedure. Bayes estimation... | {"extraction_info": {"found_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/427394/appendices-in-tables-of-contents-under-appendices-section | # Appendices in tables of contents under Appendices section
I have a very simple article which consists of the following:
\documentclass{article}
\usepackage{appendix}
\begin{document}
\tableofcontents
\appendixtitleon
\appendixtitletocon
\section{Writing}
\begin{appendices}
\section{First appendix}
\subsection{Fir... | {"extraction_info": {"found_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/rotational-mechanics-and-angular-momentum-help-needed-to-check-over-work.269422/ | # Rotational mechanics and Angular Momentum- help needed to check over work
1. Nov 4, 2008
### ultrapowerpie
Please note, this is a series of problems, with a series of answers. I believe that I understand how to do the problems, but for some reason, my answer is wrong, and I can think of no reason why.
1. The prob... | {"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/dimensional-analysis-of-planck-length.827312/ | # Dimensional Analysis of Planck Length
1. Aug 12, 2015
### noahcharris
Hello!
So in looking at black hole thermodynamics, I came across the equation
$l_p = \sqrt{G\hbar}$
But in doing a dimensional analysis of
$\sqrt{G\hbar}$
I get
$[\sqrt{G \hbar}] = \sqrt{ \frac{Nm^2}{kg^2} \frac{m^3}{kgs} }$
This obviously ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/24849/path-connected-set-of-matrices/24876 | # (Path) connected set of matrices?
Let $N \in \mathfrak{M}_n(\mathbb{C})$ nilpotent, such that there exists $X \in \mathfrak M_n(\mathbb{C})$ with $X^2=N$ (take for instance $n>2$ and $N(1,n)=1$; $N(i,j)=0$ otherwise).
Denote by $\mathcal{S}_N$ the set of $X \in \mathfrak M_n(\mathbb{C})$ such that $X^2=N$. Is $\mat... | {"extraction_info": {"found_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... |