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http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=4104 | Welcome to ZOJ
Problem Sets Information Select Problem Runs Ranklist
ZOJ Problem Set - 4104
Sequence in the Pocket
Time Limit: 2 Seconds Memory Limit: 65536 KB
DreamGrid has just found an integer sequence $a_1, a_2, \dots, a_n$ in his right pocket. As DreamGrid is bored, he decides to play with the sequence. He... | 2019-06-27T10:19:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/153409/a-question-on-definite-integral-to-find-a-value | # A question on definite integral to find a value
Would you please tell me whether there is any wrong on this problem? given that $g$ is continuous on $[0,\infty)\rightarrow \mathbb{R}$ satisfying $\int_{0}^{x^2(1+x)}g(t)dt=x \forall x\in [0,\infty)$ then I need to find what is $g(2)$?
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You can answer the question. ... | 2015-07-02T08:53:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/calculus/calculus-early-transcendentals-8th-edition/chapter-2-review-true-false-quiz-page-166/14 | ## Calculus: Early Transcendentals 8th Edition
A horizontal asymptote is the result of $\lim\limits_{x \to \infty} f(x) = constant$ Since there is no horizontal asymptote, both limits to infinity must tend to either infinity or negative infinity. | 2018-07-20T19:03:27 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/72171/charge-above-a-conductor-effects-due-to-lorentz-force-law-for-moving-charges | # Charge above a conductor; effects due to Lorentz force law for moving charges
Currently working through a practice preliminary examination problem. I have your standard charge situated a distance d from a infinite conductor(lets say in the $\hat{z}$ direction and neglecting gravity). The question asks when $v = 0$ a... | 2019-07-17T12:46:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/650718/does-infinite-equal-infinite | # Does infinite equal infinite?
I have a question.
Let $x$ be infinite.
$$2x=\infty\times2, \quad 2x=\infty$$
So actually, does $2x=x$?
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infinity is not a number – sigmatau Jan 25 '14 at 9:12
It should first be clear to you what does $\;2x\;,\;x=\infty\;$ mean...is it? – DonAntonio Jan 25 '14 at 9:14
Yes, that's wh... | 2015-11-26T00:29:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathspace.co/textbooks/syllabuses/Syllabus-411/topics/Topic-7346/subtopics/Subtopic-97851/?activeTab=theory | New Zealand
Level 8 - NCEA Level 3
# Solve DE's of the form dy/dx = f(x)
Lesson
Certain first order differential equations can be expressible in the form $\frac{dy}{dx}=f(x)$dydx=f(x). In fact the solution to this type of differential equation is always given by $y=\int f(x)dx$y=f(x)dx.
Of course the differential e... | 2022-01-17T23:22:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/549909/how-did-4-distance-in-general-relativity-become-displacement-in-newtonian-grav | # How did $4$-distance in General Relativity become displacement in Newtonian Gravity?
In general relativity the christoffel symbols 'pop' out of the metric $$g^{\mu \nu} dx_\mu dx_\nu$$. When $$g^{\mu \nu} dx_\mu dx_\nu$$ is integrated it is a measure of distance between the $$2$$ points. Using this as a starting poi... | 2022-05-26T13:59:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/tags/syntax/hot | # Tag Info
26
Clearly the @ notation is inspired by the usual mathematical notation for function composition. f@g[x] looks very similar to the mathematical notation $(f\circ g)(x)$. But it is important to understand that @ does not denote function composition. In mathematical notation $f\circ g$ is also a function. I... | 2015-04-21T06:41:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/conservation-of-angular-momentum-of-a-bullet.708195/ | # Conservation of angular momentum of a bullet
1. Sep 1, 2013
### refrigerator
I was thinking of a couple basic mechanics problems lately. What if you have a rod sitting in space at rest, and you shoot a bullet at its center. Linear momentum is conserved, and the problem is quite trivial.
Now what if the bullet hit... | 2017-12-12T01:46:43 | {"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... |
http://math.stackexchange.com/questions/250896/cosine-transform-ortoghonal-matrix?answertab=votes | # Cosine Transform Ortoghonal Matrix
Let $C$ be the matrix with
$$c(k,n)=\dfrac{1}{\sqrt{N}},\text{ if }k=0,\ 0\leq n \leq N-1,$$
$$c(k,n)=\sqrt{\dfrac{2}{N}}\cos\left(\dfrac{\pi (2n+1)k}{2N}\right),\text{ if }1\leq k \leq N-1,\ 0\leq n \leq N-1.$$
How can I prove that $C$ is orthogonal?
I've begun using the $k$-r... | 2013-05-23T15:17:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rosettacode.org/wiki/Calculate_P-Value | CloudFlare suffered a massive security issue affecting all of its customers, including Rosetta Code. All passwords not changed since February 19th 2017 have been expired, and session cookie longevity will be reduced until late March.--Michael Mol (talk) 05:15, 25 February 2017 (UTC)
# Calculate P-Value
Given two list... | 2017-03-29T17:07:45 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://datanongrata.com/2019/04/28/a-parser-in-python-for-the-qsar-db-file-format/ | # A parser in Python for the QSAR-DB file format
A parser for QSAR-DB files
# QSAR-DB file parser in Python¶
A wonderful resource for anyone interested in reproducibility in research and QSARs (there are at least a dozen of us in the world) is QSAR-DB, from Dr. Uko Maran's lab at the University of Tartu.
A note for... | 2023-04-01T11:03:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crazyproject.wordpress.com/2011/01/28/a-criterion-for-inclusion-in-a-monomial-ideal/ | A criterion for inclusion in a monomial ideal
Let $I = (m_i \ | i \in I)$ be a monomial ideal in $F[x_1,\ldots,x_n]$. Prove that $p \in I$ if and only if each term in $p$ is divisible by some $m_i$. Use this criterion to show that $p = x^2yz + 3xy^2$ is in $(xyz, y^2)$ but not in $(xz^2, y^2)$.
Certainly, if each ter... | 2017-03-26T22:56:38 | {"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": 0, "img_math": 26, "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-1-foundations-for-algebra-1-6-multiplying-and-dividing-real-numbers-practice-and-problem-solving-exercises-page-42/17 | Algebra 1: Common Core (15th Edition)
With fractions, we multiply the numerator (top of the fraction) of the first fraction by the numerator of the second fraction and the denominator (bottom of the fraction) of the first fraction by the denominator of the second fraction. Thus, we obtain: -$\frac{2}{11}$$\times$$(-\f... | 2018-05-28T08:27:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/183606/calculating-pendulum-rate-variation-due-to-change-in-force-of-gravity-over-arc-o | # Calculating pendulum rate variation due to change in force of gravity over arc of swing
Hi all and thank you in advance for any insight into this problem.
I'm a journalist working on a story on precision pendulum clocks and specifically on the isochronism of pendulums. I note that the period of a pendulum is a func... | 2020-12-01T23:57:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/tensor-product-of-vector-spaces-confusion.379409/ | # Tensor product of vector spaces: confusion
1. Feb 18, 2010
### Goldbeetle
Dear all,
I've read the math that defines a tensor product by means of the universal property and I've studied the tensor product construction through a quotient of the free vector space on the cartesian product of two vector spaces. All oth... | 2018-06-21T18:41:43 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2472727/show-that-the-real-line-with-the-lower-limit-topology-and-the-moore-plane-are-no | # Show that the real line with the lower limit topology and the Moore plane are not homeomorphic.
I found that the x-axis in the Moore plane is a closed and discrete set and the real line with the lower limit Topology don't have a set like that but I don't know how to conclude that there is not an homeomorphism betwee... | 2019-12-09T07:57:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://asmedigitalcollection.asme.org/fluidsengineering/article-abstract/129/2/209/467127/On-the-Use-of-the-Squire-Long-Equation-to-Estimate?redirectedFrom=fulltext | A method to estimate the radial velocity in swirling flows from experimental values of the axial and tangential velocities is presented. The study is motivated by the experimental difficulties to obtain this component in a draft tube model as evidenced in the Turbine-99 IAHR∕ERCOFTAC Workshop. The method uses a two-dim... | 2021-06-23T01:22:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-solve-the-inequality-2k-2-10 | How do you solve the inequality -2k-2>10?
1 Answer
Sep 20, 2015
$k < - 6$
Explanation:
Solve it by isolating $k$ step by step. First move the constant to one side:
−2k−2 +2 >10 +2
−2k >12
Then divide both sides by $2$:
(−2k)/2 >12/2
−k >6
Finally, multiply by $- 1$ to switch the sign of $k$ (Note that the ineq... | 2021-12-02T03:54:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://lavelle.chem.ucla.edu/forum/viewtopic.php?p=239431 | ## 7B 3(c)
ashwathinair
Posts: 113
Joined: Sat Aug 17, 2019 12:17 am
### 7B 3(c)
Determine the rate constant for each of the following first order reactions, in each case expressed for the rate of loss of A:
(c) 2A --> B + C, given that [A]0 = 0.153 mol/L and that after 115 s the concentration of B rises to 0.034 mo... | 2020-09-21T10:52:41 | {"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://deathandthepenguinblog.wordpress.com/tag/computer-vision/ | New paper: Large Scale Photometric Bundle Adjustment
Myself and Olly Woodford published a new paper: Large Scale Photometric Bundle Adjustment, PDF here, at BMCV 2020.
This work presents a fully photometric formulation for bundle adjustment. Starting from a classical system (such as COLMAP), the system performs a str... | 2021-04-21T15:01:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 31, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://byjus.com/free-gre-prep/data-distributions/ | GRE Quantitative: Data Distributions GRE Practice Questions with solutions
The biggest question to bother your mind is why is Data Interpretation even included in the syllabus for GRE? Why should one consider data interpretation as an important topic?
All these answers lie in a single statement. There’s a famous prov... | 2019-01-17T07:23:49 | {"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... |
http://crypto.stackexchange.com/tags/paillier/hot?filter=month | # Tag Info
4
For starters: Paillier and RSA are based on very similar assumptions, and both systems would be broken immediately by an algorithm to factor large composites. Additionally, knowing $\phi(n)$ or $\lambda(n)$ is quite essential to both systems, because the trapdoor for decryption is based on that. As you c... | 2015-07-31T13:31:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2653903/proof-verification-showing-that-these-two-product-metrics-are-equivalent | # Proof Verification: Showing that these two product metrics are equivalent.
I am working on this problem from Simmons' "Introduction to Topology and Modern Analysis" (Problem 10-6).
Let $X_1, X_2, \dots, X_n$ be a finite class of metric spaces with metrics $d_1, d_2, \dots, d_n$. If $X = X_1 \times X_2 \times \dots ... | 2019-07-23T05:20:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/online/course/0-2-derivation-of-the-equations-for-a-basic-fdm-tdm-transmux-by-openst?qcr=www.quizover.com&page=7 | # 0.2 Derivation of the equations for a basic fdm-tdm transmux (Page 8/10)
Page 8 / 10
Shown across the top of [link] is a stylized version of that seen in the bottom portion of [link] . The uniform weight shown on the top right leads to the bandpass filter shapes shown on the left. Note that the filters are separa... | 2021-05-13T00:49:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 16, "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://stats.stackexchange.com/questions/297634/finding-the-limiting-distribution-of-fracx-n-n-sqrt2n/297639 | Finding the limiting distribution of $\frac{X_n -n}{\sqrt{2n}}$ [closed]
Let $X_n \sim \chi^2 (n)$ for all $n$. I would like to show when $n\to\infty$
$$\frac{X_n -n}{\sqrt{2n}}\to N(0,1)$$
where $N(0,1)$ is normal distribution. Could someone help me?
Let $\left(Z_i\right)_i$ be a sequence of i.i.d. random variable... | 2020-10-20T01:01:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://web2.0calc.com/questions/dragonlord | +0
DragonLord
0
23
1
Thank you DragonLord I honestly forgot about that formula
off-topic
Feb 4, 2020
#1
+177
+1
Its ok, there are many other ways to do that problem (eg. completing the square, factoring), just remember the formula is $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$ :D
Feb 5, 2020 | 2020-02-16T18:30:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.jmsj/1542704620 | ## Journal of the Mathematical Society of Japan
### Pseudo Kobayashi hyperbolicity of subvarieties of general type on abelian varieties
Katsutoshi YAMANOI
#### Abstract
We prove that the Kobayashi pseudo distance of a closed subvariety $X$ of an abelian variety $A$ is a true distance outside the special set $\opera... | 2020-12-01T19:47:43 | {"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://www.esaral.com/q/solve-this-following-13156/ | Solve this following
Question:
Find $\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}$ when
i. $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=3 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}$
ii. $\overrightarrow{\mathrm{a}}=\h... | 2022-05-16T18:47:38 | {"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... |
https://python4astronomers.github.io/astropy-UVES/UVES.html | # Astropy II: Analyzing UVES Spectroscopy¶
This tutorial follows my real live data analysis of MN Lup and the code developed below is taken (with only minor modifications) from the code that I used to actually prepare the publication. The plots that will be developed below appear in very similar form in the article pu... | 2021-12-07T15:16:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cosmocoffee.info/viewtopic.php?f=11&t=2666&p=7358 | ## Linear Evolution in CAMB
Use of Healpix, camb, CLASS, cosmomc, compilers, etc.
Matthew Lewandowski
Posts: 2
Joined: May 10 2016
Affiliation: Stanford University
### Linear Evolution in CAMB
I have tried to perform the following simple sanity check in CAMB, so as to better understand what is included in the output... | 2021-01-19T18:41:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/spaam/ | # Statistics, Probability, Analysis and Applied Mathematics
SPAAM student seminar series
Organisers: Hanson Bharth, Connah Johnson, Jaromir Sant and Jack Thomas
#### Cathie Wells, University of Reading Reducing Aviation Emissions and Fuel Burn by Re-routing Transatlantic Flights
Introduction: Commercial long haul fl... | 2020-01-23T22:23:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/14013/the-number-of-molecules-of-co-2-liberated-by-the-complete-combustion-of-0-1 | # The number of molecules of $CO_2$ liberated by the complete combustion of $0.1$ grams atom of graphite in air is :
$\begin {array} {1 1} (1)\;3.01 \times 10^{22} & \quad (2)\;6.02 \times 10^{23} \\ (3)\;6.02 \times 10^{22} & \quad (4)\;3.01 \times 10^{23} \end {array}$
$(3)\;6.02 \times 10^{22}$ | 2018-06-24T20:52:23 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.show-my-homework.com/2016/04/degenerate-perturbations.html | Degenerate Perturbations
Consider the anisotropic harmonic oscillator potential from the tutorial, for which the Hamiltonian is $H= -(\hbar^2/2M)\nabla^2+(1/2)M\omega^2(x^2+y^2)+(\gamma/2)M\omega^2(x+y)^2$, where $\gamma$ is small and positive. In this problem you will solve the potential exactly and compare the energ... | 2017-07-25T10:45:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ionickiss.com/nian/turbulent-boundary-layer-thickness-calculator.html | 20 2. In this chapter we explore the fascinating behavior of the boundary layer and the turbulent motions within it. 2 0. Example: Boundary Layer Thickness Consider a water flow (20°C) at v = 0. Inter-quartile Range (IQR) = Q3 - Q1 Lower Outlier Boundary = Q1 - 1. e. If the free stream is not well defined for your pr... | 2020-06-02T07:07:28 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://deepai.org/publication/the-queue-number-of-planar-posets | # The queue-number of planar posets
Heath and Pemmaraju conjectured that the queue-number of a poset is bounded by its width and if the poset is planar then also by its height. We show that there are planar posets whose queue-number is larger than their height, refuting the second conjecture. On the other hand, we sho... | 2021-09-26T20:10:00 | {"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://projecteuclid.org/euclid.ade/1462298653 | ### Dissipative structures for thermoelastic plate equations in $\mathbb R^n$
#### Abstract
We consider the Cauchy problem in $\mathbb R^n$ for linear thermoelastic plate equations where heat conduction is modeled by either the Cattaneo law or by the Fourier law -- described by the relaxation parameter $\tau$, where ... | 2017-09-24T12:10:51 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an%3A1243.34102 | # zbMATH — the first resource for mathematics
Existence of periodic solutions for neutral type cellular neural networks with delays. (English) Zbl 1243.34102
Summary: By using the theory of abstract continuation theorem of $$k$$ contractive operator, we study the existence of periodic solutions for neutral type cellul... | 2021-10-18T16:56:43 | {"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... |
http://dipc.ehu.es/frederiksen/publications.html | # All
G. Calogero, N. R. Papior, B. Kretz, A. Garcia-Lekue, T. Frederiksen, and M. Brandbyge
Electron transport in nanoporous graphene: Probing the Talbot effect
Nano Letters (in press) [arXiv:1811.07576].
Electrons in graphene can show diffraction and interference phenomena fully analogous to light thanks to their D... | 2018-12-14T13:24:47 | {"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://wiki.webpopix.org/index.php/Mixture_models | # Mixture models
## Introduction
Mixed-effects models are frequently used for modeling longitudinal data when data is obtained from different individuals from the same population. These models allow us to take into account between-subject variability. One complicating factor arises when data is obtained from a popula... | 2019-02-19T17:53:34 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/131509/can-any-computably-enumerable-set-be-generated-by-a-prefix-free-set?noredirect=1 | # Can any computably enumerable set be generated by a prefix-free set?
Downey and Hirschfeldt seem to assume that any computably enumerable set of sequences can be generated from some prefix-free set (in the sense that the set of all extensions of the strings in the prefix-free set is equal to the first set). I don't ... | 2021-01-15T19:12:16 | {"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://www.numdam.org/item/JTNB_2013__25_1_43_0/ | Algebraic independence of the generating functions of Stern’s sequence and of its twist
Journal de théorie des nombres de Bordeaux, Volume 25 (2013) no. 1, p. 43-57
Very recently, the generating function $A\left(z\right)$ of the Stern sequence ${\left({a}_{n}\right)}_{n\ge 0}$, defined by ${a}_{0}:=0,{a}_{1}:=1,$ and ... | 2020-10-22T15:22:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 56, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/2626598/factor-of-a-mersenne-number/2626600 | Factor of a Mersenne number
Why is it true that if 7 divides 91 then $(2^7-1)$ divides $(2^{91}-1)$?
1) $2^{91}-1$
$7|91 \implies (2^7-1)|(2^{91}-1)$
$\implies 2^7-1$ is factor
2) $2^{1001}-1$
$7|1001 \implies (2^7-1)|(2^{1001}-1)$
$\implies 2^7-1$ is factor
• If $p$ is a polynomial with integer coefficients an... | 2019-04-19T02:30:51 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.dm.unipi.it/eventi/minimal-volume-hyperbolic-4-manifolds-leone-slavich/ | # Minimal volume hyperbolic 4-manifolds – Leone Slavich
#### Venue
Sala Seminari (Dip. Matematica).
#### Abstract
Since the volume of a hyperbolic manifold is often regarded as a measure of its complexity, it is interesting to study the examples of minimal volume. The 2 and 3-dimensional cases are well understood. ... | 2022-12-04T15:22:48 | {"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://ncatlab.org/nlab/show/canonical+extension | (0,1)-category
(0,1)-topos
# Contents
## Idea
Canonical extension provides an algebraic formulation of duality theory and a tool to derive representation theorems. It may be regarded as an algebraic formulation of Stone duality (see Gehrke-Vosmaer, p. 5).
Originally (Jonsson-Tarski) is was formulated for Boolean a... | 2013-06-18T04:59:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 25, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://ai.stackexchange.com/questions/26625/does-it-make-sense-to-combine-classifiers-trained-on-the-same-dataset | # Does it make sense to combine classifiers trained on the same dataset?
I am working on a classification problem.
I have a dataset $$S$$ and I am training several prediction algorithms using S: Naive Bayes, SVM, classification trees.
Intuitively, I was planning to combine my models, and, for each data point in the ... | 2021-10-28T17:18:34 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://extellireader.wordpress.com/tag/motion-mountain/ | ## Roping the Earth
### 2009/03/03
I have utterly enjoyed the very stimulating online physics book by Christoph Schiller Motion Mountain. It includes some 1700 challenges for the reader ranging from fun little puzzles to standing research problems. This is a great example of how textbooks should be written to engage ... | 2017-06-23T17:19:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://thehealthybutterfly.com/cyberbullying-teaching-yqys/page.php?id=4590f7-outlier-detection-r | Simple methods for outlier detection use statistical tools, such as boxplot and Z-score, on each individual feature of the dataset.A boxplot is a standardized way of representing the distributions of samples corresponding to various features using boxes and … Selva Prabhakaran Some of these are convenient and come hand... | 2021-02-28T19:48:38 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/221288/if-int-x1ftdt-ge-frac1-x22-x-in0-1-prove-that-int-01ft2dt-g | # If $\int_x^1f(t)dt\ge\frac{1-x^2}2$, $x\in[0,1]$, prove that $\int_0^1f(t)^2dt\ge1/3$.
Let $f$ be continuous on $[0,1]$ that satisfies
$\int_x^1f(t)dt\ge\frac{1-x^2}2,x\in[0,1]$.
Prove that $\int_0^1f(t)^2dt\ge1/3$.
-
Equality is reached when $f(t)=t$. It is natural to set $f(t)=t+g(t)$. Then, everything can be s... | 2014-10-26T01:19:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tutorbin.com/questions-and-answers/the-below-combined-system-is-represented-by-one-ofthe-following-equati | Question
Robotics
The below combined system is represented by one ofthe following equations,
Y=\bar{A} \cdot \bar{B}+B \cdot C
Y=\overline{A \cdot B}+B \cdot C
Y=\bar{A} \cdot \bar{B}+\overline{B \cdot C}
Verified
### Question 45481
Robotics
Given in the figure below the response of a thermocouple in time doma... | 2022-07-07T17:10:41 | {"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://physics.stackexchange.com/questions/446925/evaluating-the-free-energy-of-the-grand-canonical-partition-function | # Evaluating the free energy of the grand canonical partition function
From Yoshioka (eq. 10.5), the grand partition is given by
$$\Xi = \sum_{N=0}^{\infty}\ \int_0^\infty \exp \left[ \frac{[E-\mu N-S_I(E,N)T]}{k_B T} \right] \ .$$
It goes on that the value of the free energy $$J=k_B T \ln \Xi(T,\mu)$$ can be formal... | 2020-08-13T07:27:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.educative.io/edpresso/finding-the-maximum-depth-of-a-binary-tree | a shot of dev knowledge
RELATED TAGS
# Finding the maximum depth of a binary tree
The maximum depth of a binary tree is the number of nodes from the root down to the furthest leaf node. In other words, it is the height of a binary tree.
Consider the binary tree illustrated below:
The maximum depth, or height, of t... | 2022-01-28T11:03:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rationalistramble.wordpress.com/2015/12/04/learning-bayes-part-3-5/ | ## Learning Bayes [part 3.5]
In part 3, I discussed the problem of finding a way of drawing a posterior point estimate of a number $\nu$ based on a series of point estimates $\boldsymbol{\hat\nu}$ that’s more “theoretically valid” than taking the median, which is the standard of the domain that inspired the post in th... | 2017-05-23T06:52:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 31, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://clay6.com/qa/cbse-xii/cbse%2Cclass12%2C+math | # Recent questions and answers in Math
–1 vote
### For what value of $\lambda$, the matrix $\begin{bmatrix} 1 & \lambda & 0 \\ 3 & -1 & 2 \\ 4 & 1 & 5 \end{bmatrix}$ is singular ?
To see more, click for all the questions in this category. | 2017-03-23T16:24:36 | {"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": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/what-are-the-points-of-inflection-if-any-of-f-x-12x-3-16x-2-x-7 | # What are the points of inflection, if any, of f(x)=12x^3 -16x^2 +x +7 ?
Nov 14, 2017
Find where the second derivative is equal to 0.
#### Explanation:
Points of inflection in a function are those points where the function changes its concavity, between convex (i.e. concave up), and concave (i.e. concave down). Be... | 2021-10-28T08:16:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3268173/how-many-ternary-strings-that-is-strings-made-up-of-0s-1s-and-2s-of-length-5 | How many ternary strings (that is, strings made up of 0s, 1s and 2s) of length 5 contain atmost two 0s, at most two 1s and at most two 2s?
There are 3 basic categories here, as there has to be at least one of one number, and two of the other two numbers. So we have:
$$\text{01122}$$
$$\text{10022}$$
$$\text{20011}$$
... | 2021-04-14T21:11:48 | {"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://owenduffy.net/blog/?p=19163 | # The devil is in the detail – real world transmission lines and ReturnLoss
We are traditionally taught transmission line theory starting with the concept of complex propagation constant γ and then dealing with them as lossless lines (means Zo is purely real) or low loss distortionless lines (means Zo is purely real).... | 2021-10-18T23:04:38 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://boingboing.net/tag/information-theory | Randall Monroe's latest "What If?" explores the total number of possible English-language tweets:
Based on the rates of correct guesses—and rigorous mathematical analysis—Shannon determined that the information content of typical written English was around 1.0 to 1.2 bits per letter. This means that a good compression... | 2013-12-06T04:52:11 | {"extraction_info": {"found_math": true, "script_math_tex": 6, "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://mathhelpforum.com/pre-calculus/92240-rose-curves.html | 1. ## Rose Curves
Find the smallest interval necessary to get a complete graph for the rose curve, 4sin3(theta)? How do I do these problems in general?
Thanks
2. Originally Posted by heyy
Find the smallest interval necessary to get a complete graph for the rose curve, 4sin3(theta)? How do I do these problems in gene... | 2017-01-20T06:15:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/345792/smashoperator-on-two-limits-of-sums | # Problem
This MWE with two sums, that have prolonged limits each:
\documentclass{article}
\usepackage{amsmath}
\usepackage{mathtools}
\begin{document}
$\displaystyle x \wedge y = \sum_{1 \leq i_1 < \ldots < i_p \leq n} \sum_{1 \leq j_1 < \ldots < j_q \leq n} a_{i_1 \ldots i_p} b_{j_1 \ldots j_q} \; \underbrace{e_{i... | 2022-07-06T05:17:42 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.kps.or.kr/event/30/contributions/309/ | The Korean Physical Society 06130 22, Teheran-ro 7-gil, Gangnam-gu, Seoul, Republic of Korea 610 Representation : Tae Won NOH TEL: 02-556-4737 FAX: 02-554-1643 E-mail : webmaster@kps.or.kr Copyright(C) KPS, All rights reserved.
# The XXX International Conference on Neutrino Physics and Astrophysics (Neutrino 2022)
30... | 2022-08-16T06:11:49 | {"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://refl1d.readthedocs.io/en/latest/guide/sample.html | # Sample Representation¶
## Stacks¶
Reflectometry samples consist of 1-D stacks of layers joined by error function interfaces. The layers themselves may be uniform slabs, or the scattering density may vary with depth in the layer. The first layer in the stack is the substrate and the final layer is the surface. Surfa... | 2019-08-23T13:55:59 | {"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://www.aimsciences.org/article/doi/10.3934/dcdss.2019006 | # American Institute of Mathematical Sciences
• Previous Article
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
• DCDS-S Home
• This Issue
• Next Article
Convergence and density results for parabolic quasi-linear Venttsel' problems in fractal domains
February 201... | 2022-07-05T23:12:01 | {"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://tug.org/pipermail/texhax/2013-January/020060.html | # [texhax] question
Ariane argual at bluewin.ch
Wed Jan 30 16:48:59 CET 2013
Hello!
I have a vexing problem with latex as described in the attending file.
I am not technically competent, but an applied mathematician struggling
to arrive
at a decent manuscript. Can you help?
Thank you very much and best regards.
An... | 2019-04-19T17:03:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://discuss.codechef.com/t/avoidalt-editorial/100302 | MEDIUM
# PROBLEM:
Given a grid of size N\times M. K cells of the grid are black, and the rest are white. The cost of a path from (1,1) to (x,y) (where we move one cell down/right in each step) is equal to the number of times we move between cells of different colors.
Answer Q independent queries of the form (x,y) - ... | 2022-05-27T22:07:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/205284-minimize-function-subject-constraint.html | # Thread: minimize function subject to constraint
1. ## minimize function subject to constraint
could you help to minimize function F = x^2+y^2 subject to constraint:
1-x<0
2-0.5x-y<=0
x+y-4<0
and is there difference in solving the problem if we say insted of < say <=
2. ## Re: minimize function subject to constra... | 2016-08-29T07:48:19 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/243219/how-can-i-find-the-cdf-of-a-piece-wise-continuous-random-variable | # How can I find the CDF of a piece-wise continuous Random Variable?
Assume that $\Omega=[0,2]$ and $\mathbb{P}$ is probability on $\Omega$. Find the distribution function of the random variable defined as $$X(\omega) = \begin{cases} \omega, & 0 \le \omega < 1 \\ \omega-1, & 1 \le \omega \le 2 \end{cases}$$
If $X$ is... | 2020-03-31T10:28:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41534-022-00569-5?utm_campaign=related_content&utm_source=ASTRO&utm_medium=communities&error=cookies_not_supported&code=01043017-1fa1-427d-a84c-dcc452d94f09 | Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | 2022-08-13T19:03:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/345674/the-flaw-in-my-derivation-of-relativistic-momentum-mass | # The flaw in my derivation of relativistic momentum/mass?
I am trying to derive relativistic momentum in a manner similar to that of Max Planck in "The Principle of Relativity and the Fundamental Equations of Mechanics". I begin with a frame of reference $S$ with coordinates $x$, $y$, $z$, and $t$. In that frame of r... | 2019-12-11T06:18:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://notaboutapples.wordpress.com/2009/08/03/the-two-decks-of-cards-and-the-drunken-hat-check-girl/ | ## The Two Decks of Cards and the Drunken Hat Check Girl
1. Imagine you have two decks of playing cards, each thoroughly shuffled. You give one deck to your friend and keep the other. Now each of you goes through your deck, one card at a time, flipping cards face up. You compare your top cards, then you compare you... | 2018-03-22T03:56:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 40, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://warosu.org/sci/thread/12053975 | [ 3 / biz / cgl / ck / diy / fa / g / ic / jp / lit / sci / tg / vr ] [ index / top / reports / report a bug ] [ 4plebs / archived.moe / rbt ]
# /sci/ - Science & Math
[ Toggle deleted replies ]
File: 247 KB, 1700x2200, onetard.png [View same] [iqdb] [saucenao] [google] [report]
Reminder
>> Anonymous Thu Aug 27 08... | 2021-01-22T04:02:49 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/38633-solving-algebraic-equations.html | 1. ## solving algebraic equations
any of u a math genius or close to it i need help on this problems if i dont do this i wont get to walk on graduation sad right help me
math challenged here >.>
solving rational equations solve using any method check for solutions
1) 7/x +1/2 = 4
2) x/4 + 1/2 = 5
3)4/x + 1/3 = 10... | 2013-12-22T10:37:38 | {"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": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://leddimmer.se/tqlp2/wk1ggv.php?page=4e7705-shade-the-circle-of-the-correct-answer | 7x â 2 ⤠61 For Math tutor: Question 1. 4 $$\frac{1}{2}$$($$\frac{2}{3}$$) = $$\frac{9}{2}$$ à $$\frac{2}{3}$$ = 3 What are the coordinates of the center of the circle? An online tutoring service charges $30 per hour. Its graph would like the one below: Question 3. 8x + 8(2) 10a To graph inequalities, locate the n... | 2022-05-17T20:58:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bayesfactor.blogspot.com/2015/01/multiple-comparisons-with-bayesfactor-2.html | ## Sunday, January 18, 2015
### Multiple Comparisons with BayesFactor, Part 2 - order restrictions
In my previous post, I described how to do multiple comparisons using the BayesFactor package. Part 1 concentrated on testing equality constraints among effects: for instance, that the the effects of two factor levels a... | 2018-11-18T00:16:46 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://allexamguide.com/ncert-class-7-science-ch10-exercise-solutions/ | # NCERT Class VII: Science-Exercise Solutions
### Chapter 10–Respiration in Organisms-Exercise Solutions
NCERT Book Exercise Page Number-118
Q.1. Why does an athlete breathe faster and deeper than usual after finishing the race?
Answer: Anathlete needs to supply extra energy to his muscle cells which have worked hard... | 2021-05-09T20:13:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.julialang.org/blog/2017/09/bio-parallel | # GSoC 2017: Parallelism in BioJulia
In this summer, I have worked on a project to develop tools that make BioJulia run faster. As an outcome, Automa.jl now generates more efficient code to parse text files, ConcurrentCalls.jl runs multiple tasks in parallel, and simple and efficient interfaces to various compression ... | 2019-02-16T17:16:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://strathmaths.wordpress.com/2012/07/25/the-artfulness-of-maps/ | ## The artfulness of maps
In that empire, the art of cartography attained such perfection that the map of a single province occupied the entirety of a city, and the map of the empire, the entirety of a province. In time, those unconscionable maps no longer satisfied, and the cartographers’ guilds struck a map of the e... | 2017-10-23T13:09:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 67, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://academiclogbook.blogspot.com/2015/05/neyman-and-pearson-on-problem-of-most.html | ## Saturday, May 16, 2015
### Neyman and Pearson: "On the Problem of the Most Efficient Tests of Statistical Hypotheses" (1933)
The Wikipedia page on the Neyman-Pearson lemma provides a statement and proof of the theorem which deviates quite a lot from the corresponding formulations in the article in which it origina... | 2020-09-18T23:31:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gamedev.net/forums/topic/663048-an-efficient-way-to-get-distance-from-point-to-segment-in-2d/ | # an efficient way to get distance from point to segment in 2D
This topic is 1364 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
hey every one , I would like to ask if there any formula to get distance from point A, to plane/segment B-C.
Edi... | 2018-08-19T07:44:26 | {"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://www.physicsforums.com/threads/phasor-representation-of-ac-voltage-and-current.197315/ | # Phasor representation of AC voltage and current
1. Nov 10, 2007
### Staff: Mentor
Phasor representation of AC voltage and current.
$$I\,=\,5\angle{0^o}\,=\,5\,+\,j0\,A$$
$$V\,=\,100\angle{30^o}\,=\,86.6\,+\,j50\,V$$
in general
$$V\,=\,A\angle{\theta^o}\,=\,A cos{\theta}\,+\,jA sin{\theta}\,V$$
and similarly f... | 2016-10-28T23:30:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://forum.bebac.at/mix_entry.php?id=20636&page=0&order=last_answer&descasc=DESC | Kelen
☆
Brazil,
2019-09-20 20:04
Posting: # 20636
Views: 1,016
## steady state for modified release [Regulatives / Guidelines]
I would like to ask help for understand the objetive of the steady state study when you are comparing a MR formulation with a IR formulation. The objective would be compare the effect of th... | 2019-12-06T09:16:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/509d3080e4b0ac7e51942e71 | ## A community for students. Sign up today
Here's the question you clicked on:
## Study23 3 years ago Find an equation to the tangent line the curve at the given point: y=sin(sinx), $$\ (\pi,0)$$.
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Privacy Policy | 2016-02-10T20:14:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://me.gateoverflow.in/652/gate2016-3-1 | # GATE2016-3-1
A real square matrix $\textbf{A}$ is called skew-symmetric if
1. $A^T=A$
2. $A^T=A^{-1}$
3. $A^T=-A$
4. $A^T=A+A^{-1}$
recategorized
## Related questions
The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 & k \end{bmatrix}$ are positive, is $k > 1/2$ $k > −2$ $k > 0$ ... | 2021-09-18T01:34:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quantiki.org/journal-articles/all?page=8 | # All
## Phase Control of the Quantum Statistics of Collective Emission. (arXiv:1608.00137v3 [quant-ph] UPDATED)
We report nonclassical aspects of the collective behaviour of two atoms in a
cavity by investigating the photon statistics and photon distribution in a very
broad domain of parameters. Starting with the dy... | 2018-02-25T01:36:54 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://artofproblemsolving.com/wiki/index.php/2010_AIME_II_Problems/Problem_9 | # 2010 AIME II Problems/Problem 9
## Problem
Let $ABCDEF$ be a regular hexagon. Let $G$, $H$, $I$, $J$, $K$, and $L$ be the midpoints of sides $AB$, $BC$, $CD$, $DE$, $EF$, and $AF$, respectively. The segments $\overline{AH}$, $\overline{BI}$, $\overline{CJ}$, $\overline{DK}$, $\overline{EL}$, and $\overline{FG}$ bou... | 2021-10-16T09:50:48 | {"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": 66, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.jobilize.com/online/course/5-2-mean-or-expected-value-and-standard-deviation-by-openstax?qcr=www.quizover.com&page=3 | # 5.2 Mean or expected value and standard deviation (Page 4/3)
Page 1 / 3
This module explores the Law of Large Numbers, the phenomenon where an experiment performed many times will yield cumulative results closer and closer to the theoretical mean over time.
The expected value is often referred to as the "long-ter... | 2020-12-04T02:47:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 83, "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/ma... |
https://www.physicsforums.com/threads/calculating-uncertainty-in-a-experiment.522101/ | # Calculating uncertainty in a experiment
## Homework Statement
Finding uncertainty in magnetic field strength. $N=2$, $i=1.00\pm0.005$ A, $R=0.1$ m, $\tan \theta=0.49\pm0.008$
## Homework Equations
The equation
$B_{coil}=\frac{\mu_0 N i}{2 R \tan \theta}$
## The Attempt at a Solution
I am assuming that the radi... | 2020-07-14T08:34:38 | {"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... |
https://openstax.org/books/precalculus/pages/4-5-logarithmic-properties | Precalculus
# 4.5Logarithmic Properties
Precalculus4.5 Logarithmic Properties
### Learning Objectives
In this section, you will:
• Use the product rule for logarithms.
• Use the quotient rule for logarithms.
• Use the power rule for logarithms.
• Expand logarithmic expressions.
• Condense logarithmic expressions.
•... | 2020-04-08T16:24:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 201, "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://cloud.originlab.com/doc/ja/LabTalk/ref/Coth-func | # Coth
## Description
The coth(x) function is the hyperbolic cotangent of x.
## Syntax
double coth(double x)
## Parameters
x
x is any non-zero real number. Note that numbers whose absolute value is greater than about 710 return 1/-1.
## Return
Returns the hyperbolic cotangent of x.
## Example
val = coth(-.90... | 2022-08-09T12:57:54 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/92233-graphing-polar-equations-print.html | # Graphing Polar Equations:
• Jun 8th 2009, 04:32 PM
Neversh
Graphing Polar Equations:
I don't seem to get how to graph them. Currently trying to understand how to graph: r = 3cos(2X)
• Jun 8th 2009, 09:58 PM
craig
Quote:
Originally Posted by Neversh
I don't seem to get how to graph them. Currently trying to understa... | 2017-05-23T05:23:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.proofwiki.org/wiki/Limsup_Squeeze_Theorem | # Limsup Squeeze Theorem
## Theorem
Let $\sequence {x_n}$ and $\sequence {y_n}$ be sequences in $\R$.
Let:
$(1): \quad \forall n \ge n_0: \size {x_n} \le y_n$
$(2): \quad \ds \limsup_{n \mathop \to \infty} \paren {y_n} = 0$, where $\limsup$ denotes the limit superior.
Then:
$\ds \lim_{n \mathop \to \infty} x_n = ... | 2022-11-30T23:38:41 | {"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://www.mathcaptain.com/probability/normal-distribution.html | Normal distribution is a continuous probability distribution defined by two parameters μ, the mean of the distribution and σ2 the variance. In real world situations distributions of many measures like height of adults, SAT scores, physical conditions like Blood pressure are approximately normal. A normal variable can a... | 2017-06-24T20:42:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/5357e12ce4b0a35b4158828a | ## ElleCullen Group Title sin(a - b) = sina cosb + cosa sinb for all values of a and b. True or false? 7 months ago 7 months ago
1. student_basil
false, because the rules for sine a+b identities are. $\sin(a +b) = \sin(a) ~\cos(b) + \cos(a) ~\sin(b)$$\sin(a -b) = \sin(a) ~\cos(b) - \cos(a) ~\sin(b)$
2. student_basil... | 2014-11-22T17:01:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/bar-dice-six-of-a-kind-out-of-nine-in-one-shake.578674/ | # Bar dice: six-of-a-kind out of nine in one shake
1. Feb 17, 2012
### Supertuscan
What are the odds of getting six-of-a-kind out of nine dice
in one shake?
This is the shake of the day at a tavern near me.
I know the odds of six-of-a kind-in one shake
given six dice; the three extra dice have me bumfuzzled.
I have ... | 2017-09-24T03:36:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/392844/profinite-projective-and-free-modules | # Profinite projective and free modules
I am studying cohomology of profinite groups and the following question came to my mind: suppose we have $$G$$ a pro-$$p$$ group which is Poincaré Dual of dimension $$d$$. This means that $$\mathbb{Z}_p$$ as trivial $$\mathbb{Z}_p [\![ G ]\!]$$-module admits a projective resolut... | 2022-09-25T05:44:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://sgmathsacad.com/resources/acjc-2022-jc1-promo-p1-q03/ | ACJC/2022/JC1/Promo/Q03
The curve $C$ with equation $y=\frac{a x^2+b x+c}{3 x+1}$ passes through the point with coordinates $(-1,-4)$ and has a turning point at $(-3,-2)$.
(i) Find the values of $a, b$ and $c$.
[3]
(ii) Hence sketch the graph of curve $C$, stating the equations of any asymptotes and the coordinates ... | 2023-03-28T02:12:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/218418/visualising-gas-temperature-and-gas-pressure?noredirect=1 | # Visualising gas temperature and gas pressure
Gas pressure is created when gas molecules collide with the wall of the container creating a force. Gas temperature is a measure of how fast the molecules are moving / vibrating.
However, they both seem to be concerned by "kinetic energy" of the molecules, or in other wo... | 2022-05-17T04:33:38 | {"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... |
https://mathhelpboards.com/threads/retirement-finance-question.5124/#post-23281 | ### Welcome to our community
#### jdulude
You have just turned 24, and you intend to start saving for your retirement. You plan to retire in 42 years when you turn 66. During your retirement you would like to have an annual income of $120,000 per year for the next 28 years (until age 94). -Calculate how much has to b... | 2022-07-06T04:13:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rjlipton.wordpress.com/ | The Minimum Circuit Size Problem goes front and center
Eric Allender, Bireswar Das, Cody Murray, and Ryan Williams have proved new results about problems in the range between ${\mathsf{P}}$ and ${\mathsf{NP}}$-complete. According to the wide majority view of complexity the range is vast, but it is populated by scant f... | 2015-03-06T14:09:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 162, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://math.stackexchange.com/questions/1518834/integral-inequality-lower-bound-on-l1-norm | Integral inequality - lower bound on $L^1$ norm.
I was wondering if one can make an estimate of form:
Assume $f\in C^\infty(\overline{\Omega})$ where $\Omega$ is a bounded domain in $\mathbb{}R^d$. Is there a constant $C>0$ independent of $f$ such that: $$\int\limits_{B_r(x)}\int\limits_0^1(1-t)^{d-1}|f(y+t(x-y))|\ \... | 2019-05-27T10:17:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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