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https://math.stackexchange.com/questions/3528594/inequality-for-convex-polygons | # Inequality for convex polygons
I have the following problem:
Problem. Let $$P$$ be a convex $$n$$-gon on the plane. For $$k=\overline{1,n}$$ define $$a_k$$ as the length of $$k$$-th side of $$P$$ and $$d_k$$ as the length of projection of $$P$$ onto the line containing $$k$$-th side of the polygon $$P$$. Prove that... | 2020-07-07T00:44:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codegolf.stackexchange.com/questions/163139/digit-product-sequences | # Digit Product Sequences
Here's an interesting sequence discovered by Paul Loomis, a mathematician at Bloomsburg University. From his page on this sequence:
Define
f(n) = f(n-1) + (the product of the nonzero digits of f(n-1))
f(0) = x, with x as any positive integer, written in base 10.
So, starting with f(0)=1, yo... | 2020-01-21T09:18:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/mass-mole-conversion.323136/ | # Mass-Mole conversion
1. Jul 3, 2009
### webz
1. The problem statement, all variables and given/known data
Show that 1kg of CaF2 equals 13 mol.
2. Relevant equations
Molar mass CaF2 = 78.074g/mol
3. The attempt at a solution
I can take 78.074g/mol CaF2 * 13 mol = 1014.962 g CaF2
But I can't do this equation backw... | 2017-08-19T19:17:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mrwhatis.net/index-of-refraction-of-glass-experiment.html | Search What is?:
What is INDEX OF REFRACTION OF GLASS EXPERIMENT?
In optics the refractive index or index of refraction n of a substance (optical medium) is a dimensionless number that describes how light, or any other radiation, propagates through that medium. It is defined as, where c is the speed of light in vacuu... | 2014-04-16T13:09:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/827374/how-many-combinations-of-four-letters-each-can-be-made-from-the-word-pepper | # How many combinations of four letters each can be made from the word PEPPER?
As the title says. I know that if there is no certain number of letters to choose you would have to just do 6!/3!2!. But what would you do if you have to only choose 4 letters?
-
Taking all three P's leaves two choices ({E} vs {R}), taking... | 2015-02-01T04:40:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/61133/vector-representation-of-wavefunction-in-quantum-mechanics/61154 | # Vector representation of wavefunction in quantum mechanics?
I am new to quantum mechanics, and I just studied some parts of "wave mechanics" version of quantum mechanics. But I heard that wavefunction can be represented as vector in Hilbert space. In my eye, this seems almost improbable. How does this work? Can anyo... | 2013-12-22T10:03:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rafal.io/posts/leetcode-18-letter-combinations-of-a-phone-number.html | # LeetCode 18 – Letter Combinations of a Phone Number
#### Posted on December 25, 2013
##### Last updated on December 25, 2013
Solution to LeetCode Letter Combinations of a Phone Number problem.
This a simple recursion problem. To compute the translation of x:xs 1, we get all possible translation of xs, say t(xs), ... | 2018-12-11T20:39:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dsp.stackexchange.com/questions/84268/applying-1d-wiener-filter-radially-to-2d-image | # Applying 1D wiener filter radially to 2D image
I am new to image processing. Using python, I have constructed a 1D wiener filter from the power spectrum of a Noisy Image, with Noise as a function of k. They both have the same dimension which is 512 x 512. The way I construct this filter is as follows:
• wiener1d = ... | 2022-12-07T23:47:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bestbitaxuyousa.netlify.app/righter71597cibo/a-rate-with-a-denominator-of-1-289.html | ## A rate with a denominator of 1
A unit rate is a rate in which the denominator is 1, so a unit rate is a special case of a rate. A rate is a ratio comparing quantities of different items. A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in ... | 2022-01-23T18:30:09 | {"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://analystprep.com/study-notes/frm/part-1/valuation-and-risk-management/prices-discount-factors-and-arbitrage/ | Limited Time Offer: Save 10% on all 2021 and 2022 Premium Study Packages with promo code: BLOG10 Select your Premium Package »
# Pricing Conventions, Discounting, and Arbitrage
After completing this reading, you should be able to:
• Define discount factor and use a discount function to compute present and future ... | 2022-05-27T15:19:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://datascience.stackexchange.com/questions/77144/predicting-item-ratings-with-the-log-likelihood-ratio | # Predicting Item Ratings with the Log Likelihood Ratio
I'm trying to infer prediction ratings from an item-item similarity matrix where the similarity score is calculated via the log-likelihood ratio (LLR). I'm using this code snippet to calculate the LLR (taken from this medium article):
import numpy as np
def xLo... | 2021-06-13T06:16:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://post.lurk.org/@mathr/104366326593908395 | mathr.co.uk/blog/2020-06-18_op
New blog post about optimizing zoom animations (again).
TL;DR exponential map representation is much more efficient than interpolating key frames
When rendering the exponential map, it'll be convenient to split it into strips covering radius factor 2 (corresponding to nested annuli). Th... | 2020-07-05T16:17:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ams.org/mathscinet-getitem?mr=799805 | MathSciNet bibliographic data MR799805 (86j:58032) 58E12 (49F10 53A10) Tomi, Friedrich; Tromba, Anthony On Plateau's problem for minimal surfaces of higher genus in ${\bf R}\sp 3$${\bf R}\sp 3$. Bull. Amer. Math. Soc. (N.S.) 13 (1985), no. 2, 169–171. Article
For users without a MathSciNet license , Relay Station allo... | 2014-08-01T06:11:40 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "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://quant.stackexchange.com/questions/37383/risk-compensation | # Risk Compensation
I try to understand the different ways to compensate for risk.
In the CAPM, when we plot the excess return against the risk, we find that portfolios of interest lie on the efficient frontier (i.e. the Markowitz-bullet). Among these, the tangency (i.e. market) portfolio has the highest Sharpe ratio... | 2019-10-14T03:04:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.greenemath.com/Algebra1/20/FunctionDefinitionPracticeTest.html | A relation is any set of ordered pairs (x,y). A relation where each first component or x-value corresponds to exactly one and only one second component or y-value is called a function. In other words, each x-value can only be associated or linked to exactly one y-value.
Test Objectives
• Demonstrate an understanding o... | 2022-12-01T20:31:43 | {"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/conductor-between-gases/ | # Conductor Between Gases!
Two containers A and B are connected by a conducting solid cylindrical rod of length $$\frac {242} {7}$$ cm and radius $$\sqrt (8.3)$$ cm. Thermal conductivity of the rod is 693 watt/mole-K. The container A contains two moles of oxygen gas and the container B contains four moles of helium ga... | 2017-05-26T20:47:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://db0nus869y26v.cloudfront.net/en/Channel_capacity | Channel capacity, in electrical engineering, computer science, and information theory, is the tight upper bound on the rate at which information can be reliably transmitted over a communication channel.
Following the terms of the noisy-channel coding theorem, the channel capacity of a given channel is the highest info... | 2023-03-28T10:17:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 147, "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/m... |
https://how-to.aimms.com/C_Solvers/178-change-default-solver.html | How to change the default solver¶
Introduction¶
Depending on which solvers are allowed by your AIMMS license, you might have multiple solvers capable of solving a given type of mathematical program (e.g. an LP problem). In this case, you can instruct AIMMS in a variety of ways which solver should be used to solve a p... | 2019-02-22T02:32:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/212117/writing-the-quotient-of-solutions-of-linear-odes-as-the-solution-of-a-nonlinear/212169#212169 | # Writing the quotient of solutions of linear ODEs as the solution of a nonlinear ODE
Let $A(x)$ and $B(x)$ be solutions to homogeneous linear ODEs with polynomial coefficients, i.e., $A(x)$ satisfies $$p_KA^{(K)} + p_{K-1}A^{(K-1)} + \cdots + p_1A' + p_0A=0$$ and $B(x)$ satisfies $$q_LB^{(L)} + q_{L-1}B^{(L-1)} + \cd... | 2021-10-21T08:58:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://terrytao.wordpress.com/tag/second-moment-method/ | You are currently browsing the tag archive for the ‘second moment method’ tag.
In these notes we presume familiarity with the basic concepts of probability theory, such as random variables (which could take values in the reals, vectors, or other measurable spaces), probability, and expectation. Much of this theory is ... | 2021-09-17T13:25:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 123, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://stats.stackexchange.com/questions/200019/understanding-kernel-functions-for-svms | # Understanding Kernel Functions for SVMs
I am learning about Support Vector Machines, and in particular, those with kernels for non-linear decision boundaries. I understand the concept of projecting the original data to a higher-dimensional space, such that a linear decision boundary can be inserted. But what I don't... | 2018-11-20T21:41:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://helda.helsinki.fi/browse?value=hep-ph&type=subject | # Browsing by Subject "hep-ph"
Sort by: Order: Results:
Now showing items 1-16 of 16
• (2010)
We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence informati... | 2021-10-26T09:40:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/find-the-two-middle-terms-in-the-expansion-of-51630/ | Find the two middle terms in the expansion of :
Question:
Find the two middle terms in the expansion of :
$\left(3 x-\frac{x^{3}}{6}\right)^{9}$
Solution:
For $\left(3 x-\frac{x^{3}}{6}\right)^{9}$
$\mathrm{a}=3 \mathrm{x}, \quad \mathrm{b}=\frac{-\mathrm{x}^{3}}{6}$ and $\mathrm{n}=9$
As n is odd, there are two ... | 2022-05-16T09:55:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://astronomy.stackexchange.com/questions/12187/acceleration-in-galaxies-collision | # Acceleration in Galaxies Collision
In the far future the Milky Way and Andromeda will collide. As far I know direct collision between large dense objects (black holes, stars, planets, etc.) is unlikely due to the relative "low density" of both galaxies. My naive intuition is it's like two big clouds of dust merging.... | 2021-10-26T13:10:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/15437/if-alpha-and-beta-are-the-roots-of-the-equation-ax-2-bx-c-0-and-if-px-2-qx- | Browse Questions
# If $\alpha$ and $\beta$ are the roots of the equation $ax^2+bx+c=0$ and , if $px^2+qx+r=0$ has roots $\large\frac{1- \alpha}{\alpha}$ and $\large\frac{1-\beta}{\beta}$, then r is equal to
$\begin {array} {1 1} (a)\;a+2b & \quad (b)\;a+b+c \\ (c)\;ab+bc+ca & \quad (d)\;abc \end {array}$
(b) a+b+c | 2017-06-25T12:03:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/34537/the-total-number-of-seven-digit-numbers-the-sum-of-whose-digits-is-even-are | # The total number of seven digit numbers,the sum of whose digits is even are? [closed]
The total number of seven digit numbers,the sum of whose digits is even are?
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## closed as off-topic by Jonas Meyer, hardmath, Aaron Maroja, TMM, quidMar 22 at 19:14
This question appears to be off-topic. The users who voted to... | 2015-04-25T01:25:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.futurelearn.com/courses/statistical-shape-modelling/3/steps/250340 | We use cookies to give you a better experience, if that’s ok you can close this message and carry on browsing. For more info read our cookies policy.
3.2
# Sampling from a shape model
We have seen that, thanks to the marginalisation property of a Gaussian Process, any finite marginal distribution is a multivariate no... | 2018-06-21T12:26:12 | {"extraction_info": {"found_math": true, "script_math_tex": 11, "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.tug.org/pipermail/texhax/2009-June/012685.html | # [texhax] A question about stretchability and shrinkability
Rodolfo Medina rodolfo.medina at gmail.com
Tue Jun 16 12:36:21 CEST 2009
Rodolfo Medina wrote:
>> Suppose that in a certain place of my text I say something like, e.g.:
>>
>> \vskip 25 pt
>>
>> and I mean exactly 25 pt with no stretchability neither shrink... | 2018-03-20T23:27:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://fbelotti.github.io/publication/dkhac/ | # Simultaneous bandwidths determination for DK-HAC estimators and long-run variance estimation in nonparametric settings
### Abstract
We consider the derivation of data-dependent simultaneous bandwidths for double kernel heteroskedasticity and autocorrelation consistent (DK-HAC) estimators. In addition to the usual s... | 2022-08-08T23:00:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Union_is_Increasing | # Union is Increasing
## Theorem
Let $U$ be a set.
Let $\mathcal F$ and $\mathcal G$ be sets of subsets of $U$.
Then $\mathcal F \subseteq \mathcal G \implies \bigcup \mathcal F \subseteq \bigcup \mathcal G$.
That is, $\bigcup$ is an increasing mapping from $(\mathcal P(\mathcal P(U)), \subseteq)$ to $(\mathcal P(... | 2019-11-15T14:00:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/trigo-is-not-such-easy/ | # Trigo is not such easy!!
Algebra Level 5
If given $[2cosx] + [sinx]=-3$ Then the range of the function $f(x)=sinx+\sqrt{3}cosx$ can be written as $[a,b]$ Where $x\in[0,2π]$
Find the value of $a^{2}+b^{2}$
$Note: Here [a] represents G.I.F$
× | 2016-10-28T14:05:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bio.libretexts.org/TextMaps/Map%3A_Biochemistry_Online_(Jakubowski)/05%3A_BINDING/A._Introduction_to_Reversible_Binding/A3._Dimerization_and_Multiple_Binding_Sites | # A3. Dimerization and Multiple Binding Sites
In the previous examples, we considered the case of a macromolecule M binding a ligand L at a single site, as described in the equation below:
$M + L \rightleftharpoons ML$
where $$K_d = \dfrac{[M][L]}{[ML]}$$
We saw that the binding curves (ML vs L or Y vs L are hyperb... | 2017-11-20T11:31:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://search.datacite.org/works/10.4230/DROPS.MEMICS.2009.2345 | ### A Quantitative Characterization of Weighted Kripke Structures in Temporal Logic
Kim G. Larsen, Uli Fahrenberg & Claus Thrane
We extend the usual notion of Kripke Structures with a weighted transition relation, and generalize the usual Boolean satisfaction relation of CTL to a map which assigns to states and tempor... | 2018-01-18T06:08:07 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://textbook.prob140.org/ch11/ConditioningRevisited.html | # Conditioning, Revisited¶
In the next couple of chapters we are going to study random processes indexed by time. We have looked at some of these already – for example, a sequence of trials can be thought of as a random process indexed by time.
Naturally, we are going to be interested in what we can predict about a p... | 2017-08-22T11:01:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ajitjadhav.wordpress.com/2019/10/16/ontologies-in-physics-7-to-understand-qm-you-have-to-first-solve-yet-another-problem-with-the-em/ | Ontologies in physics—7: To understand QM, you have to first solve yet another problem with the EM
In the last post, I mentioned the difficulty introduced by (i) the higher-dimensional nature of $\Psi$, and (ii) the definition of the electrostatic $V$ on the separation vectors rather than position vectors.
Turns out ... | 2021-05-16T07:10:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 65, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://dsp.stackexchange.com/questions/29576/capturing-the-sampling-rate-from-a-basketball-being-dribbled | # Capturing the sampling rate from a basketball being dribbled
I'm taking an online image and signals class and the structure is absolutely horrible.
I'm wondering if you can provide me hints, or tips to solving the below question. I'm not looking for an answer, because I'd actually like to learn something! The struc... | 2019-12-16T05:13:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.dummies.com/how-to/content/how-to-find-the-expectation-value-of-a-dice-roll.html | Given that everything in quantum physics is done in terms of probabilities, making predictions becomes very important. And the biggest such prediction is the expectation value. The expectation value of an operator is the average value that you would measure if you performed the measurement many times. For example, the ... | 2016-06-26T10:13:55 | {"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.freemathhelp.com/forum/threads/finding-the-quadratic-equation-help-thanks.64616/ | # finding the quadratic equation HELP!....thanks
#### judocallin
##### New member
Good Day! We are given this assingment,
Find the quadratic equation with the value of y=-3 at x=2, y=-6 at x=1 and y=-4 at x=0
unfortunately,I'm Stuck!
thanks for any help.
#### mmm4444bot
##### Super Moderator
Staff member
Have yo... | 2019-03-26T18:25:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.aimsciences.org/article/doi/10.3934/dcdss.2019015 | # American Institute of Mathematical Sciences
April 2019, 12(2): 215-229. doi: 10.3934/dcdss.2019015
## Classical solutions for the system $\bf {\text{curl}\, v = g}$, with vanishing Dirichlet boundary conditions
Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 1/c, Pisa, I-56127, Italy
* Corresp... | 2021-01-18T14:44:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1274317/for-a-maximal-left-ideal-m-of-s-is-f-1m-a-maximal-left-ideal-of-r/1274443 | # For a maximal left ideal $M$ of $S$, is $f^{-1}(M)$ a maximal left ideal of $R$ when $f$ is surjective?
Let $f:R \longrightarrow S$ a surjective ring homomorphism. Is the inverse image $f^{-1}(M)$ a maximal left ideal of $R$ for any maximal left ideal $M$ of $S$?
Comments: I tied something like this: if $M$ is maxi... | 2019-12-12T03:55:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/tags/orbital-motion/hot | # Tag Info
4
First, let us look at the current rate at which the moon slows down. I have a few different sources, and they don't all give me the same answer. First, there is this claim that Earth slows down at a rate of about 0.005 seconds per year per year. A year has approximately $365.25 \cdot 24 \cdot 3600 = 3.15... | 2015-05-29T16:49:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/cumulative-distribution-function.126064/ | # Cumulative distribution function
1. Jul 14, 2006
### island-boy
Once again, i'm having a disagreement with my TA regarding a problem set he gave us.
Here is the exact question, as written:
Find the distribution function associated with the following density functions:
a) $$f(x) = 3(1-x^2)$$ , x an element of (0,1... | 2017-11-22T15:18:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/a-really-easy-question-on-properties-of-the-levi-civita-tensor-and-index-interchange.295963/ | # A really easy question on properties of the Levi-Civita tensor and index interchange
1. Feb 28, 2009
### AxiomOfChoice
Does the following identity hold?:
$$\epsilon_{ijk} a_j b_k = -\epsilon_{ijk} a_k b_j$$
2. Feb 28, 2009
### cristo
Staff Emeritus
Re: A really easy question on properties of the Levi-Civita te... | 2017-11-22T19:31:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/1d-quantum-well-im-getting-something-very-basic-wrong.313109/ | # 1D Quantum Well - I'm getting something very basic wrong!
Ok, so this example question is in my lecture notes:
## Homework Statement
"For a 1-D quantum well, 5nm width, 2eV barrier height, calculate the number of energy levels in the well."
## Homework Equations
So the equation given is a familiar one:
$$E_n=\f... | 2020-02-24T19:06:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3825841/sherlock-holmes-base-number-problem | # Sherlock Holmes Base Number Problem
Sherlock Holmes and Dr. Watson recover a suitcase with a three-digit combination lock from a mathematician turned criminal. Embedded in the suitcase above the lock is the cryptic message "AT SEA BASE. SEAS EBB SEA: BASS. "
Dr. Watson comments, "This probably isn't about ocean fis... | 2021-10-25T08:25:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/37353/nomenclature-priorities-with-ethers-acyl-groups-and-ketones | # Nomenclature priorities with ethers, acyl groups and ketones
$\hspace{6cm}$
(2-oxopropionyl)oxy butanoic acid
$\hspace{6.5cm}$
3,4-dioxo 4-methoxy butanoic acid
$\hspace{6.3cm}$
3-(2-oxopropyl),6-oxo heptanoic acid
$\hspace{6.25cm}$
3-propionyl,6-oxo heptanoic acid
$\hspace{6.3cm}$
3-(3-oxobutyl),6-oxo hexa... | 2021-09-21T17:18:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/540056/infinite-phase-margin | # Infinite Phase Margin
I have been assigned a control systems problem, where I am supposed to stabilize a system using a controller technique from the frequency domain. When I implemented the system on Matlab and calculated the phase margin of the system it turned out to be infinite. I am not exactly sure what that m... | 2021-02-28T13:33:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://economics.stackexchange.com/questions/43199/identical-aggregation | # Identical aggregation
Assume the following: all firms are identical, i.e. at each time period $$t$$, $$\forall i$$, $$j: F_{t}^j = F_{t}^i = F_t$$ and the technology is CRS. All consumers have the same endowment of capital $$\forall i$$, $$j : k_0^i =k_0^j = k_0$$. All consumers have the same time endowment in each ... | 2022-01-19T22:30:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nbviewer.jupyter.org/gist/craffel/c56867fa0868118eb1a0 | # Notes on Neural Networks and Deep Learning, chapter 1¶
This notebook collects notes and code from Chapter 1 of Neural Networks and Deep Learning, chapter 1.
http://neuralnetworksanddeeplearning.com/chap1.html
## Foundations: Perceptron¶
A perceptron simply takes a weighted combination of its inputs and outputs a ... | 2017-07-24T20:38:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.intmath.com/blog/environment/a-rare-fibonacci-day-12823 | # A Rare Fibonacci Day
By Casey Allen, 13 Aug 2021
Today is rather special. A day like today won't come around for almost another century. Today is rare and represents a “golden” opportunity for those in the know.
Have you guessed it?? Well since you clicked on the title you already know the spoiler...
Today, 8-13-... | 2021-09-24T12:58:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/major-problem-in-differentiation-from-first-principles.593881/ | # Major problem in differentiation from first principles
1. Apr 6, 2012
### spaghetti3451
I am trying to differentiate the functions xn, eax and ln(ax) from first principles. I have successful in all three, but here's my problem. In finding the limit in each problem, you need to first Taylor expand to remove Δx from... | 2017-08-23T02:27:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/155726/stochastic-gradient-descent-with-constraints | # Stochastic Gradient Descent with constraints
Let's say we have a convex objective function $f(\textbf{x})$, with $\textbf{x}\in R^n$ which we want to minimise under a set of constraints. The problem is that calculating $f$ exactly is not possible and only stochastic approximations are available, which are computably... | 2019-06-26T09:00:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=znsl&paperid=6609&option_lang=eng | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE
General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
Zap. Nauchn. Sem. POMI: Year: Volume: Issue: Page: Find
Zap. Nauchn... | 2019-04-22T17:03:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codeforces.com/problemset/problem/504/D | D. Misha and XOR
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
After Misha's birthday he had many large numbers left, scattered across the room. Now it's time to clean up and Misha needs to put them in a basket. He ordered this task to his pet robot that ... | 2023-02-07T11:57:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tasks.illustrativemathematics.org/content-standards/1/OA/D/7/tasks/466 | # Valid Equalities?
Alignments to Content Standards: 1.OA.D.7
1. $2+5 = 6$
2. $3 + 4 = 2 + 5$
3. $8 = 4 + 4$
4. $3 + 4 + 2 = 4 + 5$
5. $5 + 3 = 8 + 1$
6. $1 + 2 = 12$
7. $12 = 10 + 2$
8. $3 + 2 = 2 + 3$
9. $32 = 23$
## IM Commentary
The purpose of this task is to help broaden and deepen students understanding of th... | 2021-10-17T21:33:27 | {"extraction_info": {"found_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://electronicsclub.co.in/what-is-antenna/ | # What is Antenna?
An antenna is simply called a transducer, Which converts radio frequency (RF) electrical current into an electromagnetic (EM) wave at the same frequency and vice versa. It can works as a transmitter of signals as well as receivers them.
Antenna
An antenna is also known as Ariel. It can be underst... | 2019-08-20T12:21:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 26, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/2620616/what-is-the-difference-between-x-and-x-when-x-itself-is-a-set | # What is the difference between $x$ and $\{x\}$ when $x$ itself is a set?
I've already asked this a part of another question, but thought it'd be easier to elaborate a bit more on my concern.
Let $x$ be a set. What is the difference between $x$ and $\{x\}$? I get that the latter is a set consisting of a single eleme... | 2022-08-14T23:06:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/4dcc87828bbf8b0bae69f37a | ## anonymous 5 years ago Factor this polynomial completely: x4– 25.
1. anonymous
(x^2+5)(x^2-5)
2. anonymous
difference of two squares: $a^2-b^2=(a+b)(a-b)$ here $a=x^2$ $b=5$ so get $(x^2+5)(x^2-5)$
3. anonymous
$x^2+5$ does not factor, but $x^2-5$ does as $(x+\sqrt{5})(x-\sqrt{5})$ | 2017-01-23T11:21:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ericplayground.com/2019/07/23/lagrangian-formulation-of-classical-mechanics/ | # Lagrangian formulation of classical mechanics
In order to begin to make a connection between the microscopic and macroscopic worlds, we need to better understand the microscopic world and the laws that govern it. We will begin placing Newton’s laws of motion in a formal framework which will be heavily used in our st... | 2021-07-30T16:01:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 13, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/252377/separation-of-variables-linear-pde | # Separation of variables linear PDE
I am stuck with the separation of variables for the following PDE:
$$-Ay^{2}\partial _{y}^{2}f(x,y)-y^{2}\partial _{x}^{2}f(x,y)+iBy \partial _{x} f(x,y)+C= \lambda _{n}f(x,y)$$
Here, $A, B, C$ are constants and $i = \sqrt{-1}$.
I believe that the solution to the equation of $y$... | 2014-03-11T15:20:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math.tugraz.at/discrete/index.php?link=events&link2=talk&year=2013 | ### Talks in 2013
#### Mathematisches Kolloquium
Title: Quantum graphs and networks
Speaker: Pavel Exner (Czech Academy of Sciences)
Date: 17.12.2013, 15:30 Kaffee im Foyer, 16:00 Vortrag
Room: Hörsaal BE01
Abstract:
Dynamics of a quantum particle confined to a graph is interesting both
mathematically and physically... | 2019-08-24T04:54:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://engineering.stackexchange.com/questions/21745/how-to-calculate-torque-needed-to-stop-a-rotating-beam-over-x-seconds | # How to calculate torque needed to stop a rotating beam over x seconds
I have a large boom of a radio antenna weighing $3,500 kg$ which is rotating at $0.5 RPM$. The antenna is a T shape and the boom radius is $14m$. The power to the motor is cut off suddenly and the motor acts as a rigid brake. The boom is not rigid... | 2021-05-10T17:44:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/106047/solving-triangles-and-quadratic-equations | # Solving triangles and quadratic equations
When calculating the pieces in a triangle with only two sides and an intermediate angle is known, one must solve a quadratic equation. By solving the equation are 2, 1 or 0 solutions, as described below (A-D). These four options is illustrated in Figure 1-4 below. You must w... | 2015-09-01T20:38:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.soimeme.org/~arunram/Resources/Reshetikhin/QUEAYBEILI2.html | ## Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I
Last update: 2 June 2014
## Notes and References
This is a typed copy of the LOMI preprint Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I by N.Yu. Reshetikhin.
Recommended fo... | 2019-01-21T04:16:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 282, "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/m... |
https://global-sci.org/intro/article_detail/jcm/9178.html | Volume 16, Issue 6
On a Theorem of Bernstein and Its Applications to Weighted Minimax Series
J. Comp. Math., 16 (1998), pp. 509-520.
Published online: 1998-12
Cited by
Export citation
• Abstract
In this paper, some results about approximation in a norm $S$ induced by the minimax series are studied. Then a Bernstei... | 2023-01-31T03:05:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.aps.org/articles/v1/7 | # Viewpoint: New clues in the mystery of persistent currents
, Laboratoire de Physique des Solides Université Paris-Sud, Bldg. 510, Orsay Cedex, France 91405
Published July 28, 2008 | Physics 1, 7 (2008) | DOI: 10.1103/Physics.1.7
A decade ago, experimentalists showed that persistent currents can flow in nonsuper... | 2014-12-21T13:32:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 33, "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://zbmath.org/?q=an:0541.35057 | ## Two problems with shifts for an equation of the mixed-composite type.(Russian)Zbl 0541.35057
A. M. Nakhushev has studied boundary value problems for hyperbolic equations and equations of mixed type with boundary conditions on the characteristics [Differ. Uravn. 5, 44-59 (1969; Zbl 0172.143)]. Continuing those inves... | 2022-05-22T06:52:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CC/textbook/cca2/chapter/1/lesson/1.2.2/problem/1-94 | ### Home > CCA2 > Chapter 1 > Lesson 1.2.2 > Problem1-94
1-94.
The Salami and More Deli sells a $5$-foot submarine sandwich for parties. It weighs $8$ pounds. Assuming that the weight per foot is constant, what would be the length of a $12$-pound sandwich?
You could make a table, a graph, or write and solve an equat... | 2021-05-14T05:09:25 | {"extraction_info": {"found_math": true, "script_math_tex": 4, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crad.ict.ac.cn/CN/abstract/abstract3692.shtml | ISSN 1000-1239 CN 11-1777/TP
• 软件技术 •
### 基于混合编码的FPGA系统配置文件压缩算法
1. 1(西安交通大学电子与信息工程学院 西安 710049); 2(国家数据广播工程技术研究中心(西安交通大学) 西安 710049) (wgwu@mail.xjtu.edu.cn)
• 出版日期: 2018-05-01
• 基金资助:
国家自然科学基金项目(61672423,61628210)；国家重点研发计划基金项目(2016YFB0201800)；陕西省自然科学基金项目(2016SF-428)
### MH-RLE: A Compression Algorithm for Dynamic R... | 2021-04-10T19:39:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gitbook.rootwhois.cn/Alogrithm/Leetcode/789.%20Escape%20The%20Ghosts.html | # 789. Escape The Ghosts
## 1. Question
You are playing a simplified PAC-MAN game on an infinite 2-D grid. You start at the point [0, 0], and you are given a destination point target = [xtarget, ytarget], which you are trying to get to. There are several ghosts on the map with their starting positions given as an arr... | 2023-03-24T19:56:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/feeds/question/47246 | Does a log-concave function on a convex set extend continuously to the boundary? - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T03:50:00Z http://mathoverflow.net/feeds/question/47246 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/47246/does-a-log-concave-f... | 2013-06-19T03:50:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quant.stackexchange.com/questions/46501/risk-neutral-measure-change-in-numeraire | # Risk neutral measure & change in numeraire
There are two questions about risk neutral and change in numeraire I am not so sure if my answer is correct.
Question 01: Risk neutral
Let says I have 2 risky asset A and B. Each has stochastics process as follow:
\begin{align} \frac{dA}{A}=\mu_Adt + \sigma_Adw \\ \frac{... | 2021-03-01T00:32:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2833607/multiplication-over-a-cyclotomic-field-in-terms-of-polynomials-over-the-generato | # Multiplication over a cyclotomic field in terms of polynomials over the generators.
I'm currently experimenting with multiplication over cyclotomic fields with SageMath. Say we take the example $K=\mathbb{Q}(\zeta_8)$. Then taking the generator of the field as $z$, we define this in Sage as
sage: K.<z>=CyclotomicFi... | 2022-07-03T09:48:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://scipost.org/submissions/scipost_202103_00007v1/ | # NonlinearSchrodinger: Higher-Order Algorithms and Darboux Transformations for Nonlinear Schrödinger Equations
### Submission summary
As Contributors: Omar Ashour Preprint link: scipost_202103_00007v1 Code repository: https://github.com/oashour/NonlinearSchrodinger.jl Date submitted: 2021-03-04 20:36 Submitted by: ... | 2021-10-16T09:27:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://dictionnaire.sensagent.leparisien.fr/Hyperbolic_space/en-en/ | Publicité ▼
## définition - Hyperbolic_space
voir la définition de Wikipedia
Wikipedia
# Hyperbolic space
A perspective projection of a dodecahedral tessellation in H3.
Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3
In mathematics, hyperbolic space ... | 2021-01-19T08:27:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://grassmannian.pythonanywhere.com/C4/3 | # Grassmannian.info
A periodic table of (generalised) Grassmannians.
## Symplectic Grassmannian $\SGr(3,8)$
Basic information
dimension
12
index
6
Euler characteristic
32
Betti numbers
$\mathrm{b}_{ 1 } = 1$, $\mathrm{b}_{ 2 } = 1$, $\mathrm{b}_{ 3 } = 2$, $\mathrm{b}_{ 4 } = 3$, $\mathrm{b}_{ 5 } = 3$, $\mathrm{b}_... | 2020-08-05T22:27:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.aps.org/synopsis-for/10.1103/PhysRevLett.109.101802 | # Synopsis: More tau leptons than expected
An excess of tau leptons in bottom meson decays signals a puzzling departure from the standard model.
As reported in Physical Review Letters, the BaBar collaboration at SLAC has analyzed a large data set and found an excess of events containing tau leptons in the decay of bo... | 2017-09-22T22:22:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 5, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.albert.io/learn/linear-algebra/question/what-does-this-augmented-matrix-tell-you | Limited access
The matrix below is the reduced row echelon form of the augmented matrix representing a linear system. Which one of the following must be true about the system?
$$\left [\matrix { 1 & 0 & 2 & 3\cr 0 & 1 & 0 & 5 \cr 0 & 0 & 0 & 6} \right ]$$
A
The system has infinitely many solutions.
B
The system h... | 2017-04-24T20:59:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathblog.dk/project-euler-137-fibonacci-golden-nuggets/ | # Project Euler 137: Fibonacci golden nuggets
I think that Problem 137 of Project Euler is a really fantastic problem since it has so many facets of how it can be solved. I will go through a one of them, and then link to a few other. The problem reads
Consider the infinite polynomial series AF(x) = xF1 + x2F2 + x3F3 ... | 2019-05-21T09:09:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://studyqas.com/how-do-you-answer-these/ | # How do you answer these !!
How do you answer these !!
$How do you answer these !!$
## This Post Has 4 Comments
1. Expert says:
chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.
2. Expert says:
37/3
step-by-step explanation:
step 1: simplify bo... | 2023-03-28T07:49:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.numdam.org/item/?id=AIHPA_1977__27_4_407_0 | Two-body relativistic systems
Annales de l'I.H.P. Physique théorique, Tome 27 (1977) no. 4, p. 407-424
@article{AIHPA_1977__27_4_407_0,
author = {Droz-Vincent, Philippe},
title = {Two-body relativistic systems},
journal = {Annales de l'I.H.P. Physique th\'eorique},
publisher = {Gauthier-Villars},
volume = {27},
number ... | 2018-11-19T22:48:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://aiqianji.com/blog/article/117 | # DoWhy: An End-to-End Library for Causal Inference
Amit Sharma, Emre Kıcıman
Microsoft Research
## 1INTRODUCTION
Many questions in data science are fundamentally causal questions, such as the impact of a marketing campaign or a new product feature, the reasons for customer churn, which drug may work best for which ... | 2023-01-31T22:51:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/trigonometry/course/8-3-inverse-trigonometric-functions-by-openstax | # 8.3 Inverse trigonometric functions
Page 1 / 15
In this section, you will:
• Understand and use the inverse sine, cosine, and tangent functions.
• Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.
• Use a calculator to evaluate inverse trigonometric functions.
• Find exa... | 2019-08-24T16:17:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 18, "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://web2.0calc.com/questions/help-me_99 | +0
# Help me
0
42
1
1. Find constants $A$ and $B$ such that $\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$ for all $x$ such that $x\neq -1$ and $x\neq 2$. Give your answer as the ordered pair $(A,B)$.
2. a) Suppose that $|a - b| + |b - c| + |c - a| = 20.$ What is the maximum possible value of $|a -... | 2018-05-22T19:33:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/236156/forall-g-in-l2-omega-exists-g-n-in-h-01-omega-and-epsilon0-s-t-g | # $\forall g\in L^2(\Omega)$ exists $g_n\in H_0^1(\Omega)$ and $\epsilon>0$ s.t $g_n(x)\to g(x),\,a.e$ and $|g_n(x)|\leq |g(x)|+\epsilon$
I asked this question on MSE here some time ago, but I couldn't get an answer. There was a suggestion in the comments for a counterexample using a fat Cantor set, but I couldn't sho... | 2020-11-26T13:24:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/questions/14509/which-is-the-better-risk-sensitive-measure | # Which is the better risk sensitive measure?
Consider the two following optimization problem
1) $$\min_{\theta} \ln E_{\theta}[ e^{X}]$$
2) $$\min_{\theta} E_{\theta}[ X]$$ with the constraint $$Var_{\theta}[X] <c$$
Is it true that the first one is a better measure for risk-sensitivity cost as it takes other momen... | 2016-05-26T06:58:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/barbara2.html | SEARCH HOME
Math Central Quandaries & Queries
Question from Barbara, a student: simon arrive to work at 8:15am - and left at 10:30pm if simon gets paid by the hour at a rate of $10.00 and time 1/2 for any hours worked over 8 in a day how much did he get paid? a.120.25 b. 160.75 c. 173.75 d. 180 e. 182.50 Barbara, Lar... | 2022-10-01T11:11:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://learn.careers360.com/engineering/question-please-help-the-sum-of-an-infinite-geometric-series-of-real-number-is-14-and-the-sum-of-the-cube-of-the-terms-of-this-series-is-392-then-the-first-term-of-the-series-is/ | Q
# Please help! The sum of an infinite geometric series of real number is 14, and the sum of the cube of the terms of this series is 392 then the first term of the series is
The sum of an infinite geometric series of real number is 14, and the sum of the cube of the terms of this series is 392 then the first term of... | 2020-02-21T22:22:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 15, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://chenfeiyang.top/2020/08/07/Vertical-Order-Traversal-of-a-Binary-Tree/ | ## 题目
Given a binary tree, return the vertical order traversal of its nodes values.
For each node at position (X, Y), its left and right children respectively will be at positions (X-1, Y-1) and (X+1, Y-1).
Running a vertical line from X = -infinity to X = +infinity, whenever the vertical line touches some nodes, we... | 2020-09-25T12:08:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://derangedphysiology.com/main/required-reading/statistics-and-interpretation-evidence/Chapter%201.5.3/quantitative-data-measures-variability-and-central-tendency | ## Quantitative data types
• Expressed numerically, and ordered on a scale
• Interval data: increase at constant intervals, but do not start at zero, eg. temperature on the Celsius scale
• Ratio data: interval data which has a true zero, eg. pressure
• Binary data: yes or no answers
• Discrete data: isolated data poin... | 2020-09-24T21:45:32 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/finding-the-coordinates-of-endpoints.67253/ | # Finding the coordinates of endpoints
1. Mar 14, 2005
### trigger352
How do you find the coordinates of endpoints of the major axis for an equation like
$$\frac{(x-1)^2}{16} + \frac{(y+2)^2}{25} = 1$$
I'm just trying to develop the tequnique here. What should I be looking for? What numbers are important to an equ... | 2017-08-23T14:36:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://manual.q-chem.com/5.4/sect_cfmm.html | Searching....
# 4.6.2 Continuous Fast Multipole Method (CFMM)
(February 4, 2022)
The quantum chemical Coulomb problem, perhaps better known as the DFT bottleneck, has been at the forefront of many research efforts throughout the 1990s. The quadratic computational scaling behavior conventionally seen in the construct... | 2022-07-06T18:48:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 13, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1898120/properties-of-dth-root-of-unity | # Properties of $d^{th}$ root of unity
I want to prove the following identity: $$1+\omega^{k\hspace{0.1cm}mod \hspace{ 0.1cm}d}+\omega^{(2k)\hspace{0.1cm}mod \hspace{ 0.1cm}d}+...+\omega^{[(d-1)*k]\hspace{0.1cm}mod \hspace{ 0.1cm}d}=d*\delta_{k,0}$$ where $\omega$ is $d^{th}$ root of unity and $0\leq k\leq d-1$.
By i... | 2019-10-21T09:51:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3310809/minimum-height-of-3x3-table-with-only-diagonally-populated-cells | # Minimum height of 3x3 table with only diagonally populated cells
How do I find the minimum height of this table?
+---+---+---+
| a | | |
+---+---+---+
| | b | |
+---+---+---+
| | | c |
+---+---+---+
$$a$$, $$b$$, and $$c$$ are the known (and fixed) areas of their respective cells.
Each cell's area is... | 2021-04-19T02:28:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mirrors.dotsrc.org/cran/web/packages/rstanarm/vignettes/mrp.html | # MRP with rstanarm
#### 2020-02-11
library(rstanarm)
library(ggplot2)
library(bayesplot)
theme_set(bayesplot::theme_default())
# options(mc.cores = 4)
library(dplyr)
library(tidyr)
Inference about the population is one the main aims of statistical methodology. Multilevel regression and post-stratification (MRP) (L... | 2020-07-02T19:44:40 | {"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": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/tags/calculus-and-analysis/hot?filter=week | # Tag Info
8
Here is the derivation promised earlier. I have chosen to create a new answer in order not to mix things up and because it shows some handling which I like to call "man-machine" interaction with Mathematica. And, sorry for the "Greeks", but I find it very cumbersome to reedit them :-( $Version "8.0 for M... | 2014-08-21T04:33:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2971719/the-limit-of-an-integral-over-a-ball-when-the-radius-of-the-ball-goes-to-zero | # The limit of an integral over a ball when the radius of the ball goes to zero
Let $$D(a,r)$$ be an open ball in $$\mathbb{R}^{k}$$ ($$k\geq1$$). We know that if $$f$$ is a continuous function at $$a$$, then $$\lim_{r\to 0}\frac{1}{V_{r}}\int_{D(a,r)}f(t)dt=f(a),$$ where $$V_{r}$$ is the measure of the ball. Does thi... | 2021-03-01T23:40:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/162231/problem-with-wrapping-a-basic-function | # Problem with wrapping a basic function
I'm working my way through Mathematica Challenges and tripped myself up on the first question. I have a basic piece of code which works, but am having trouble formatting it to be a proper written function. In searching for an answer myself, people online have made all sorts of ... | 2019-05-22T11:54:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathsci.kaist.ac.kr/~sangil/seminar/2017-07-27/ | ## Jaehoon Kim (김재훈), Property testing for hypergraphs
Property testing for hypergraphs
Jaehoon Kim (김재훈)
School of Mathematics, Birmingham University, UK
2017/7/27 Thu 4PM-5PM
We provide a combinatorial characterization of all testable properties of k-graphs (i.e. k-uniform hypergraphs).
Here, a k-graph property ? is... | 2019-10-16T22:39:41 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.primefourierseries.com/?page_id=495 | # 3.7 $\vartheta[x]$: First Chebyshev Function
$\vartheta[x]$ – First Chebyshev Function that takes a step of $\log[p]$ at each prime integer $x=p$.
The first Chebyshev function is defined as follows.
$\quad\vartheta[x]=\sum_{i=1}^{\lfloor x\rfloor}If[PrimeQ[i],\log[i],\ 0]$
The following two plots illustrates the ... | 2017-10-22T08:17:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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