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https://robotics.stackexchange.com/questions/15013/calculating-differential-drive-robot-icc-position
# calculating differential drive robot ICC position I don't understand how to calculate the ICC position with the given coordinates. I somehow just have to use basic trigonometry but I just can't find a way to calculate the ICC position based on the given parameters $R$ and $\theta$. Edit: Sorry guys if forgot to inc...
2019-09-22T08:36:17
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http://mathhelpforum.com/differential-equations/51124-solved-differential-equation-general-solution-help-print.html
# [SOLVED] Differential Equation General Solution Help Printable View • September 28th 2008, 11:57 PM jwade456 [SOLVED] Differential Equation General Solution Help hey guys, i'm really struggling with this and need someone to point me in the right direction, any help at all would be greatly appreciated! Find the gen...
2016-07-01T02:45:19
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http://tex.stackexchange.com/questions/79347/how-do-i-use-scopes-to-apply-a-style-to-nodes-inside-a-path
# How do I use scopes to apply a style to nodes inside a path? I want to use nodes inside a single path, in order that I might position one relative to another using the ++(x,y) notation. However, a scope that I want to use to style the nodes only styles the path (and therefore appears to do nothing, as the path is '...
2016-06-01T03:36:22
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https://en.wikipedia.org/wiki/Nested_dissection
# Nested dissection In numerical analysis, nested dissection is a divide and conquer heuristic for the solution of sparse symmetric systems of linear equations based on graph partitioning. Nested dissection was introduced by George (1973); the name was suggested by Garrett Birkhoff.[1] Nested dissection consists of t...
2020-02-17T04:01:17
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http://fakeroot.net/margin-of/calculate-margin-of-error-with-standard-deviation.php
Home > Margin Of > Calculate Margin Of Error With Standard Deviation # Calculate Margin Of Error With Standard Deviation ## Contents This will tell you that you can be, say, 95% certain that the NPS for all your customers is between your sample score plus the Margin of Error and the sample Easy! Previously, we descr...
2018-02-25T23:44:07
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https://physics.stackexchange.com/questions/278931/derivation-of-inverse-square-law
# Derivation of Inverse Square Law Is there a mathematical derivation of the inverse square law that doesn't depend on geometry or empirical data fitting? • en.m.wikipedia.org/wiki/… This link has a rather neat derivation of the inverse-square law without prior knowledge of Maxwell's equations. It's generalized, even...
2020-10-31T11:18:25
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https://datascience.stackexchange.com/tags/hyperparameter-tuning/hot?filter=year
Tag Info 5 In "The Elements of Statistical Learning" by Hastie et al the authors describe two tasks regarding model performance measurement: Model selection: estimating the performance of different models in order to choose the best one. Model assessment: having chosen a final model, estimating its prediction error (...
2021-08-03T21:34:41
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https://bvillasen.github.io/blog/astro/cholla/2019/07/03/dual_energy_eta_beta.html
The simulations are $128^3$ and 50Mpc. Dual Energy Parameters: $\eta=0.005$ $\beta_0 = 0.25$ $\beta_1 = 0.0$ Shock Detection Pressure Jump: From Fryxell 200 the Pressure Jump Condition for shock detection is: Their implementation uses $\alpha = 0.1$ To ignore fluctuations due to noise a condition in the density i...
2020-08-13T05:15:03
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http://math.stackexchange.com/questions/31978/finding-the-supremum-and-infimum-of-a-set
# Finding the supremum and infimum of a set I'd like some help with finding the supremum and infimum of $$\left\{ 2a,3(1-2a),5a:0<a<\frac{1}{2}\right\}$$ My guess is that the infimum is 0 and the supremum is 3. Thanks. -
2015-11-27T17:25:30
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https://chemistry.stackexchange.com/questions/35340/justification-for-freezing-point-depression-boiling-point-elevation-in-solutio
# Justification for Freezing Point Depression & Boiling Point Elevation in Solutions? I was wondering if the following justification for freezing point depression and boiling point elevation are conceptually correct. The reason why I ask this question is because I have been self studying chemistry for a course I will ...
2022-01-18T10:45:09
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http://brilliant.org/practice/interpreting-graphs-of-functions/?subtopic=functions&chapter=function-graphs
× Back to all chapters # Function Graphs Graphs are visual representations of functions. If you know how to read graphs, you can say a lot about a function just by looking at its graph. Learn this fine art of mathematical divining. # Interpreting Graphs of Functions In the above graph, if $$f(0) = 7$$, what is the ...
2017-03-28T19:49:40
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https://dsp.stackexchange.com/questions/29386/nyquist-nth-digital-filters
# Nyquist (Nth) digital filters I am working in something were I should use a upsampling filter. I have decided to use a Nyquist filter(Lth filter). I know that there are two constraints. The first The frequency vector values must mirror each other in pairs around $\pi/2$. The second is the amplitude vector values mus...
2020-02-29T11:21:19
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https://dergipark.org.tr/hujms/issue/38493/445106
| | | | ## Response of a 3D elastic half-space to a distributed moving load #### Nihal Ege [1] , Onur Ş“ahin [2] , Barış Erbaş [3] ##### 21 153 The dynamic effect of an out of plane distributed moving load on the surface of an elastic half-space is considered. The problem is formulated in terms of a hyperbolic-elli...
2019-07-23T02:40:41
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https://nips.cc/Conferences/2021/ScheduleMultitrack?event=27309
Timezone: » Poster Universal Approximation Using Well-Conditioned Normalizing Flows Holden Lee · Chirag Pabbaraju · Anish Prasad Sevekari · Andrej Risteski Wed Dec 08 04:30 PM -- 06:00 PM (PST) @ Normalizing flows are a widely used class of latent-variable generative models with a tractable likelihood. Affine-coupli...
2023-02-05T20:36:39
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https://www.hpmuseum.org/forum/thread-8092.html
New Root-Seeking Algorithms 04-02-2017, 09:28 PM Post: #1 Namir Senior Member Posts: 741 Joined: Dec 2013 New Root-Seeking Algorithms I am happy to post two new root-seeking algorithms. They are the Super Secant and Hyper Secant methods. These two methods are based on the legacy secant methods (which are rough approxi...
2020-11-01T00:44:40
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https://www.physicsforums.com/threads/hausdorff-spaces.700499/
# Hausdorff spaces 1. Jul 8, 2013 ### R136a1 Hello everybody! It is known that in Hausdorff spaces that every sequence converges to at most one point. I'm curious whether this characterizes Hausdorff spaces. If in a space, every sequence converges to at most one point, can one deduce Hausdorff? 2. Jul 8, 2013 ###...
2017-08-18T08:09:19
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https://mathoverflow.net/questions/122290/contact-structures-on-pseudo-riemannian-manifolds
# Contact structures on pseudo-riemannian manifolds I am looking for references on contact structures in the framework of pseudo-riemannian manifolds. For instance on the Lorentz-Minkowski $3$-space (resp. $(n+1)$-space). Denoting by $L$ (resp. $H$) the Lorentz-Minkowski $3$-space (resp. the hyperbolic plane regarded ...
2019-05-24T14:12:53
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https://www.albert.io/ie/algebra/horizontal-asymptote-for-a-rational-function-3
? Free Version Easy # Horizontal Asymptote for a Rational Function 3 ALGEBR-3QYNSH Which is the horizontal asymptote for: $$y=\frac{1}{x+3}?$$ A $y=3$ B $x=-3$ C $y=0$ D $x=0$
2016-12-06T17:51:49
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https://wikimili.com/en/Drag_(physics)
Drag (physics) Last updated In fluid dynamics, drag (sometimes called fluid resistance) is a force acting opposite to the relative motion of any object moving with respect to a surrounding fluid. [1] This can exist between two fluid layers (or surfaces) or between an fluid and a solid surface. Contents Unlike other...
2023-03-25T20:18:49
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http://openstudy.com/updates/4dc98a9640ec8b0bf7ca0c17
## anonymous 5 years ago CAP ~ DAY FD =? 1. anonymous 2. anonymous congruent triangles so corresponding ratios are equal yes? $\frac{21}{35}=\frac{FD}{25}$ $FD = \frac{21 \times 25}{35}=\frac{525}{35}=15$ 3. anonymous http://openstudy.com/groups/mathematics/updates/4dc989a640ec8b0b59c70c17 ok thank and can you hel...
2016-10-22T00:03:41
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https://crazyproject.wordpress.com/2010/03/26/subgroup-index-is-multiplicative-across-intermediate-subgroups/
## Subgroup index is multiplicative across intermediate subgroups Let $G$ be a group and $K \leq H \leq G$. Prove that $[G : K] = [G : H] \cdot [H : K]$. We proved this as a lemma to a previous theorem.
2017-01-24T11:11:54
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https://quant.stackexchange.com/questions/42150/computation-of-future-implied-volatility-surface
# Computation of Future Implied Volatility Surface I do have a question on the future implied volatility surface. The current implied volatility surface is easy to obtain, e.g using some interpolation technique on current options prices. For computation of the future implied volatility surface, e.g at T=2 years Does ...
2018-10-17T06:20:23
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https://testbook.com/question-answer/the-capacitor-charging-current-is--5d19eb4afdb8bb6c1b7d7b54
# The capacitor charging current is 1. An exponential growth function 2. An exponential decay function 3. A linear decay function 4. A linear rise function Option 2 : An exponential decay function Free CT 1: Basic Concepts 19925 10 Questions 10 Marks 6 Mins ## Detailed Solution When a battery is connected to a seri...
2022-01-26T05:13:45
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https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.1355
# American Institute of Mathematical Sciences April  2014, 34(4): 1355-1374. doi: 10.3934/dcds.2014.34.1355 ## Gradient flow structures for discrete porous medium equations 1 University of Bonn, Institute for Applied Mathematics, Endenicher Allee 60, 53115 Bonn, Germany, Germany Received  December 2012 Revised  Ma...
2022-10-07T02:23:20
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http://web.mat.bham.ac.uk/R.W.Kaye/seqser/constrrationals.html
# Construction of the rationals Our next task is to define the set of rational numbers from the integers using equivalence classes of pairs of integers. The idea is clear: we think of a pair of integers $( p , q )$ as the fraction $p / q$ and use an equivalence relation to identify fractions that should have the same ...
2017-09-22T15:09:58
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http://mathhelpforum.com/pre-calculus/45665-exponential-equations.html
# Math Help - Exponential Equations 1. ## Exponential Equations Solve each equation below. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. (1) (cuberoot{2})^(2 - x) = 2^(x^2) (2) e^(x + 3) = pi^(x) 2. $(\sqrt[3]{2})^{2-x} = 2^{x^2}$ $(\sqrt[3]{2})^{2-x} = [(\sqrt[3]{2})^3]...
2015-03-27T13:12:50
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http://hal.in2p3.fr/in2p3-00583413
# High $p_{T}$ non-photonic electron production in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV Abstract : We present the measurement of non-photonic electron production at high transverse momentum ($p_T >$ 2.5 GeV/$c$) in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV using data recorded during 2005 and 2008 by the STAR ex...
2021-09-27T22:02:25
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https://www.physicsforums.com/threads/math-problem-ii.8930/
# Math problem II denian i tried this. but fail to get the answer find the square root of 11 - 6*(square root of 2) and write the solution in surd notation. answer provided by the book : 3 - (square root of 2) ## Answers and Replies Staff Emeritus My calculator gives the answer to be 3-sqrt(2). Why don't you try ...
2022-08-07T20:05:34
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https://physics.stackexchange.com/questions/606787/why-do-green-functions-show-up-in-treating-dielectric-media-microscopically
Why do Green functions show up in treating dielectric media microscopically? I'm reading the treatment of Thomas-Fermi screening in Ashcroft and Mermin (ch. 17). They write some strange equations which I've never seen before, anywhere. First of all, they write the usual local relation $$\mathbf{D} = \epsilon \mathbf{...
2022-08-14T21:25:35
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https://ita.skanev.com/11/02/02.html
# Exercise 11.2.2 Demonstrate what happens when we insert the keys $5, 28, 19, 15, 20, 33, 12, 17, 10$ into a hash table with collisions resolved by chaining. Let the table have 9 slots, and let the hash function be $h(k) = k \mod 9$.
2018-07-16T02:41:05
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http://mathoverflow.net/questions/96069/status-of-pl-topology/96080
# Status of PL topology I posted this question on math stackexchange but received no answers. Since I know there are more people knowledgeable in geometric and piecewise-linear (PL) topology here, I'm reposting the question. I'd really want to know the state of the question, since I'm self-studying the material for pl...
2015-03-28T12:54:55
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https://math.stackexchange.com/questions/889505/a-question-regarding-conjugacy-classes-of-central-involutions
# A question regarding conjugacy classes of central involutions. An involution $$a$$ of a group $$G$$ is called central if there exists a sylow $$2$$-subgroup $$H$$ of $$G$$ such that $$a \in C_G(H)$$. Clearly if an involution is central then its every conjugate is also central. 1. If $$C$$ is a conjugacy class of i...
2021-08-04T22:11:39
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http://mathhelpforum.com/algebra/177134-solve-equation-n-where-n-exponent.html
# Thread: solve equation for n where n is an exponent 1. ## solve equation for n where n is an exponent Dermine n if: 665/24=(4/3((3/2)^n-1))/(1/2) 2. Originally Posted by Rosie Dermine n if: 665/24=(4/3((3/2)^n-1))/(1/2) $ \frac{665}{24} = \frac { \frac{4}{3}. (\frac{3}{2})^{n-1} } {\frac{1}{2}} $ $ \frac{665}{24...
2016-08-26T04:56:46
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https://pleasescoopme.com/2009/03/08/
# Daily Archives: March 8, 2009 ## Another perspective on link probability functions When deciding when a link between two documents should exist, we need to define a function of the covariates which we call a link probability function.  We have looked at many candidate functions but concentrated on two such function...
2023-01-29T11:58:44
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http://mathonline.wikidot.com/projection-transformations
Projection Transformations # Projection Operators Definition: For any vector $\vec{x} \in \mathbb{R}^2$, a projection operator $T: \mathbb{R}^2 \to \mathbb{R}^2$ projects every vector $\vec{x}$ onto some axis. For any vector $\vec{x} \in \mathbb{R}^3$, a projection operator projects every vector $\vec{x}$ onto some ...
2021-04-14T21:09:10
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http://jobjo.github.io/2015/02/16/printing-recursive-data-structures.html
I have more than once found myself in need of a function for pretty-printing some recursive data type; Be it a prefix search tree, an abstract syntax tree for a domain specific language, XML or something else. Getting tired of having to implement the same type of logic over and again I decided to generalize the pattern...
2020-10-01T08:55:33
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https://math.stackexchange.com/questions/1978673/stamp-induction-problem
Stamp Induction problem Suppose you have an unlimited supply of 5-cent postage stamps and 7-cent postage stamps. Show that you can make any amount of postage which is 24 cents or larger using only these stamps. • This is the coin problem. You can search the site for many variations. – Ross Millikan Oct 21 '16 at 15:2...
2021-01-26T13:43:13
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http://math.stackexchange.com/questions/194452/modular-multiplicative-inverse-and-coprime-numbers-needed
# Modular multiplicative inverse and coprime numbers needed. I have a 64 bit algorithm that uses modular multiplicative inverse and coprime numbers, and I need to convert it to 32 bit. This math is not my area, and I cannot find an online calculator, so I hope someone here can help me. In 64 bit, I have: multiplier_...
2014-03-16T18:06:51
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https://stats.stackexchange.com/questions/10897/probability-distribution-of-fragment-lengths
# Probability distribution of fragment lengths I would like to compute the probability distribution for the length of the fragments which I would obtain by fragmenting a linear rod of length $L$ in the following way: 1. I choose at random (uniformly) $n$ breakpoints 2. I cut the rod at those breakpoints, creating $(n...
2020-10-25T07:58:39
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https://www.groundai.com/project/fermion-interactions-and-universal-behavior-in-strongly-interacting-theories/
A Conventions # Fermion Interactions and Universal Behavior in Strongly Interacting Theories ## Abstract The theory of the strong interaction, Quantum Chromodynamics (QCD), describes the generation of hadronic masses and the state of hadronic matter during the early stages of the evolution of the universe. As a comp...
2019-05-25T12:49:21
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https://crypto.stackexchange.com/questions/41471/aes-cryptography-keys
# AES cryptography keys 1. What are the three possible values (in bits) for the length of the AES algorithm keys? 2. Approximately how big is the AES key space? • a) is literally answered by typing "AES key lengths" into your favourite internet search engine, and b) is an easy computation using those values. What ha...
2019-12-11T16:44:51
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https://physics.stackexchange.com/questions/629128/why-did-we-expect-gravitational-mass-and-inertial-mass-to-be-different/629140
# Why did we expect gravitational mass and inertial mass to be different? I've read many times that the fact that gravitational mass is equal to inertial mass (as far as we can tell) used to be a puzzle. I believe that Einstein explained this by showing that gravity is itself just an inertial force. When I first enco...
2022-07-01T11:21:22
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https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-2-real-numbers-chapters-1-2-cumulative-review-problem-set-page-91/17
## Elementary Algebra $-2.4$ First, we simplify the expression by combining like terms: $-7x+4y+6x-9y+x-y$ =$(-7x+6x+x)+(4y-9y-y)$ =$(-x+x)+(-5y-y)$ =$0+(-6y)$ =$-6y$ Now, we substitute $y=0.4$ into the expression: $-6y=-6(0.4)=-6\times\frac{4}{10}=-\frac{24}{10}=-2.4$
2018-07-17T00:45:17
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https://astronomy.stackexchange.com/tags/collision/hot
# Tag Info 20 TL;DR: Virtually zero. The distances between stars are HUGE and stars are tiny compared to the astronomical scales of distance between neighboring stars. The sun, is about 0.0000001 or one ten-millionth of a light year. The probability of a star (to be generous, say a $10 R_\odot$ star) colliding with t...
2021-05-11T00:10:13
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http://openstudy.com/updates/50394a00e4b09b05dfe35b7b
## rannsan Group Title Find the slope, if possible, of the line passing through each pair of points. (2,-1) and (6, 3) 2 years ago 2 years ago 1. rannsan It passes through but I do not understand, can someone explain? 2. Hero There are a few ways of finding the slope: 1. Directly (using slope formula) 2. Graphicall...
2014-10-24T08:05:01
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http://www.blackbowrecords.com/lrat5/supplementary-angles-on-transversal-56c0bc
Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel. Transversal Angles. This video is an explanation of the types of angles formed by a TRANSVERSAL line through two PARALLEL lines. Real World Math Horror Stories from Real encounters. ID: 1410296 Language: Englis...
2021-04-21T11:18:54
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https://stats.stackexchange.com/questions/182316/interpretation-of-residuals-vs-fitted-plot
# Interpretation of residuals vs fitted plot I am checking that I have met the assumptions for multiple regression using the built in diagnostics within R. I think that from my online research, the DV violates the assumption of homoscedasticity (please see the residuals vs fitted plot below). I tried log transforming...
2021-01-17T00:37:30
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http://joannapearcephotography.co.uk/karf5/85ebb1-limit-of-a-constant-function-example
For example: lim x→∞ 5 = 5. hope that helped. That is, f (x,mx) = 3x2 x2 +2m2x2 = 3 1+2m2. (Substitute $$\frac{1}{2}\sin θ$$ for $$\sin\left(\frac{θ}{2}\right)\cos\left(\frac{θ}{2}\right)$$ in your expression. Since $$f(x)=(x−3)^2$$for all $$x$$ in $$(2,+∞)$$, replace $$f(x)$$ in the limit with $$(x−3)^2$$ and apply th...
2021-10-20T10:51:31
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http://www.jos.org.cn/html/2017/11/5349.htm
软件学报  2017, Vol. 28 Issue (11): 2879-2890 PDF 1. 智能技术与系统国家重点实验室(清华大学), 北京 100084; 2. 清华大学 计算机科学与技术系, 北京 100084 Convolution Neural Network Feature Importance Analysis and Feature Selection Enhanced Model LU Hong-Yu1,2, ZHANG Min1,2, LIU Yi-Qun1,2, MA Shao-Ping1,2 1. State Key Laboratory of Intelligent Technology and S...
2019-08-19T23:22:41
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https://socratic.org/questions/how-many-moles-of-gas-at-5-60-atm-and-300-k-will-occupy-a-volume-of-10-0-l
# How many moles of gas at 5.60 atm and 300 K will occupy a volume of 10.0 L? Dec 19, 2015 $2.28$ $\text{mol}$ #### Explanation: Use the ideal gas law equation $P V = n R T$ where $P = \text{pressure} = 5.60$ $\text{atm}$ $V = \text{volume} = 10.0$ $\text{L}$ $n = \text{moles}$ $R = \text{ideal gas constant} = 0...
2022-01-22T00:12:07
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https://artofproblemsolving.com/wiki/index.php?title=2019_AMC_8_Problems/Problem_13&diff=111963
Difference between revisions of "2019 AMC 8 Problems/Problem 13" Problem 13 A palindrome is a number that has the same value when read from left to right or from right to left. (For example 12321 is a palindrome.) Let $N$ be the least three-digit integer which is not a palindrome but which is the sum of three distinc...
2019-12-16T01:57:39
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https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/448/3/s/d/
# Properties Label 448.3.s.d Level $448$ Weight $3$ Character orbit 448.s Analytic conductor $12.207$ Analytic rank $0$ Dimension $4$ CM no Inner twists $2$ # Learn more ## Newspace parameters Level: $$N$$ $$=$$ $$448 = 2^{6} \cdot 7$$ Weight: $$k$$ $$=$$ $$3$$ Character orbit: $$[\chi]$$ $$=$$ 448.s (of order $$...
2022-01-19T10:22:36
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http://math.stackexchange.com/questions/178036/in-an-n-dimensional-space-filled-with-points-systematically-find-the-point-with
# In an N-dimensional space filled with points, systematically find the point with highest spearmans correlation to a given-point I asked a question exactly like this a while ago, so I do not know if it is appropriate to ask pretty much the same question with a single tweak. For the record, my first question is In an...
2015-01-28T09:29:49
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https://www.paulcupido.nl/l3zg73/11ba1e-perceptron-geometric-interpretation
geometric interpretation of a perceptron: • input patterns (x1,...,xn)are points in n-dimensional space • points with w0 +hw~,~xi = 0are on a hyperplane defined by w0 and w~ • points with w0 +hw~,~xi > 0are above the hyperplane • points with w0 +hw~,~xi < 0are below the hyperplane • perceptrons partition the input space...
2021-05-08T07:22:31
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https://dsp.stackexchange.com/questions/38024/vein-extraction-with-intersections
# Vein extraction with intersections I am not exactly working with blood vessels, but my problem is similar enough that I think someone who does work with blood vessels can answer this question for me. I have several GPS points of a car driver going through a city. I would like to reconstruct the city map from these ...
2020-11-26T17:38:27
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https://stats.stackexchange.com/questions/133969/how-do-i-relate-the-std-deviation-of-the-step-size-to-the-stdev-of-the-endpoint
# How do I relate the std deviation of the step size, to the stdev of the endpoint of a brownian motion, if the step sizes are multiplied by a function I know that if I take take a brownian motion of, say, 30 steps of standard deviation 1, then the standard deviation of my endpoint will be sqrt(30). But what if the st...
2019-12-06T08:48:12
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https://www.potfit.net/wiki/doku.php?id=units
potfit wiki open source force-matching Sidebar User Guide Examples Potential Databases More units Units potfit does not need a particular system of units. It can work with any system. The units used by potfit are implicitly defined in the configuration and potential files, and possibly by certain parameters sp...
2021-05-15T13:23:48
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https://www.gradesaver.com/textbooks/math/algebra/algebra-2-1st-edition/chapter-12-sequences-and-series-12-3-analyze-geometric-sequences-and-series-12-3-exercises-quiz-for-lessons-12-1-12-3-page-817/11
## Algebra 2 (1st Edition) $a_n=\dfrac{3}{2}n-1$ $a_{15}=\dfrac{43}{2}$ $S_{15}=165$ The nth term is given by $a_n= a_1+(n-1) d$ ...(1) Here, we have Common Difference $d=\dfrac{3}{2}$ and first term $a_1=\dfrac{1}{2}$ Equation (1) gives: $a_n=\dfrac{1}{2}+\dfrac{3}{2} \times (n-1)=\dfrac{3}{2}n-1$ Plugging in $n =15$...
2022-07-04T03:31:22
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https://stats.stackexchange.com/questions/325489/orthogonality-in-2d-vs-higher-dim-vectors
# orthogonality in $2D$ vs higher dim vectors considering that $2$ vectors such as $x_2=\begin{bmatrix}1 & 1 \end{bmatrix}$ and $y_2=\begin{bmatrix} -1 & 1 \end{bmatrix}$ are orthogonal in $2D$ (i.e. their scalar product is $0$) however when we consider a third (in $3D$ ) non-zero component i.e. $x_3=\begin{bmatrix}1 ...
2021-04-22T10:02:57
{"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://webwork.libretexts.org/webwork2/html2xml?answersSubmitted=0&sourceFilePath=Library/272/setStewart13_2/problem_6.pg&problemSeed=123567&courseID=anonymous&userID=anonymous&course_password=anonymous&showSummary=1&displayMode=MathJax&problemIdentifierPrefix=102&language=en&outputformat=sticky
Find the derivative of the vector function $\mathbf r(t) = t\mathbf a \times (\mathbf b + t\mathbf c)$, where $\mathbf a = \langle 5, 2, 1\rangle$, $\mathbf b = \langle 3, 4, 3\rangle$, and $\mathbf c = \langle -1, 1, -3\rangle$. $\mathbf r'(t) = \langle$ , , $\rangle$ Your overall score for this problem is
2020-03-29T21:42:53
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https://cashweaver.com/posts/breadth_first_search/
Breadth-first search (BFS) is an algorithm for searching a Tree [or Graph] Data structure for a node that satisfies a given property. It starts at the tree root and explores all nodes at the present depth prior to moving on to the nodes at the next depth level. Extra memory, usually a Queue, is needed to keep track of ...
2022-08-17T04:19:43
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http://mathhelpforum.com/advanced-statistics/177332-determining-colour-last-ball-bag.html
## Determining the colour of the last ball in a bag There exists a bag with a white and b black balls. Balls are chosen by the following method: i) A ball is chosen at random and discarded. ii)A second ball is then chosen. If colour is different from that of the preceding ball, it is replaced in the bag and the proces...
2014-08-22T23:03:22
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http://math.stackexchange.com/questions/25841/how-do-you-do-a-cross-product-of-two-3-times-3-boolean-matrices/25862
# How do you do a cross product of two $3 \times 3$ boolean matrices? I have two boolean matrices: A = |1 1 0| |0 1 0| |0 0 1| and B = |1 0 0| |1 1 1| |0 0 1| What is the result of A x B and what are the steps needed to attain the result? Note: My textbook says that the answer to the above is: A x B = |1 1 1| |1...
2016-07-23T21:42:22
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http://mathoverflow.net/questions/34982/are-there-space-filling-curves-for-the-hilbert-cube/34983
# Are there space filling curves for the Hilbert cube ? There is a surjective continuous map $[0;1]\rightarrow [0;1]^2$ ("space filling curve"). Using such a map one can easily get space filling curves for all finite dimensional cubes. So my question is: Is there a space filling curve of the Hilbert cube $[0;1]\righta...
2015-05-28T12:13:28
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https://stats.stackexchange.com/questions/413644/marginalizing-statistical-test-results-in-a-two-factor-grid
# Marginalizing statistical test results in a two-factor grid Consider the following toy problem. Suppose that we have several food groups: meat, vegetables, fruit, etc. For any given pair of food types A and B, we ask whether people that eat both A AND B have a different outcome (e.g., live longer) than people who ea...
2019-10-21T05:22:56
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https://math.stackexchange.com/questions/572786/existence-of-five-real-numbers-satisfying-a-given-condition
Existence of five real numbers satisfying a given condition. Let $a_1,\dots,a_5$ be five distinct non-zero real numbers. Suppose that for $i\neq j$ either $a_i+a_j$ or $a_ia_j$ or both are rational numbers, does it implies that $a_i^2$ are rational numbers for all $i$? • Oh i'm sorry i miss the fact that $a_i$'s are ...
2021-06-15T03:05:46
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http://peakgmt.com/math/ExponentProperties.html
# Exponent Properties Because of their clarity and concision, the laws of exponents lend themselves well to GMAT math, especially to the Data Sufficiency format. If math isn't your thing, then perhaps the last time you gave any thought to exponents was back in Algebra Two, and perhaps exponents weren't your favorites ...
2020-01-25T18:01:44
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https://stacks.math.columbia.edu/tag/04GK
Lemma 10.148.7. Let $(R, \mathfrak m, \kappa )$ be a henselian local ring. The category of finite étale ring extensions $R \to S$ is equivalent to the category of finite étale algebras $\kappa \to \overline{S}$ via the functor $S \mapsto S/\mathfrak mS$. Proof. Denote $\mathcal{C} \to \mathcal{D}$ the functor of cate...
2019-01-16T22:51:01
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http://math.stackexchange.com/questions/125159/if-a-graph-of-2n-vertices-contains-a-hamiltonian-cycle-then-can-we-reach-ever
# If a graph of $2n$ vertices contains a Hamiltonian cycle, then can we reach every other vertex in $n$ steps? Problem: Given a graph $G,$ with $2n$ vertices and at least one triangle. Is it possible to show that you can reach every other vertex in $n$ steps if $G$ contains a Hamilton cycle (HC)? EDIT: Sorry, I forgo...
2014-07-23T14:14:58
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https://walkccc.github.io/CLRS/Chap19/19.4/
# 19.4 Bounding the maximum degree ## 19.4-1 Professor Pinocchio claims that the height of an $n$-node Fibonacci heap is $O(\lg n)$. Show that the professor is mistaken by exhibiting, for any positive integer $n$, a sequence of Fibonacci-heap operations that creates a Fibonacci heap consisting of just one tree that i...
2019-10-18T05:11:09
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http://zbmath.org/?q=an:1205.90310
# zbMATH — the first resource for mathematics ##### Examples Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai...
2014-04-25T00:11:35
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https://physics.stackexchange.com/questions/335761/what-conditions-must-eigenvalues-satisfy-for-degenerate-states
# What conditions must eigenvalues satisfy for degenerate states? Due to comments below this answer I note the term "degenerate states" was subjective so firstly I'll give a formal definition: Degenerate states results when two (or more) different eigenstates to an eigenvalue equation correspond to the same eigenvalu...
2022-05-17T14:51:22
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https://byjus.com/question-answer/curved-surface-area-of-a-cone-is-308-cm-2-its-slant-height-is-14/
Question # Curved surface area of a cone. is $$308\ cm^{2}$$ its slant height is $$14\ cm$$. Find(i) radius of the base and(ii) total surface area of the cone. Solution ## Given : Curved surface area of the cone $$= 308 cm^2$$ and Slant height or $$l = 14$$ cm.Curved surface area of the cone $$= πrl$$$$308 = \dfrac{...
2022-01-19T08:21:20
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https://cgns.github.io/cgns-modern.github.io/standard/SIDS/block.html
# 4. Building Block Structure Definition¶ This section defines and describes low-level structures types that are used in the definition of more complex structures within the hierarchy. ## 4.1. Definition DataClass_t¶ DataClass_t is an enumeration type that identifies the class of a given piece of data. DataClass_t ...
2022-05-19T16:18:05
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https://physics.stackexchange.com/questions/444062/what-kind-of-ideal-gas-process-a-positively-sloped-line-in-a-pv-diagram-repres
# What kind of ideal gas process a positively sloped line in a $pV$-diagram represents? I've come across an ideal gas process which can be represented by a positively sloped line in the $$pV$$ diagram. I found something about this on KhanAcademy, but it's simply a worked example on how to compute the work done by such...
2019-08-19T03:55:45
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https://zbmath.org/?q=an:0512.76068
## Stable viscosities and shock profiles for systems of conservation laws.(English)Zbl 0512.76068 Wide classes of high order “viscosity” terms are determined, for which small amplitude shock wave solutions of a nonlinear hyperbolic system of conservation laws $$u_t + f(u)_x = 0$$ are realized as limits of traveling wa...
2022-09-26T23:25:29
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https://smprtn.pages.math.illinois.edu/
# Eric G. Samperton ## Teaching During the fall 2019 semester, I am teaching MATH 213. Here is the course webpage. ## About me I am a J. L. Doob Research Assistant Professor in the University of Illinois Math Department. Recently, I was a visiting professor at UC Santa Barbara, and earned my Ph.D. from UC Davis. My...
2019-12-07T01:32:06
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http://www.livmathssoc.org.uk/cgi-bin/sews.py?GoldenRectangle
A Golden Rectangle is a rectangle whose sides are in the golden ratio: • $\small(1+\sqrt{5})/2$ That means that if you chop off the largest square possible, the remaining rectangle is also golden. The Golden Ratio is found all over the pentagon, so perhaps it's no surprise that the Golden Rectangle can be found in the...
2020-07-10T13:50:34
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https://cstheory.stackexchange.com/questions/14480/efficient-asympotically-universal-predictors
# Efficient asympotically universal predictors A computable predictor is an algorithm $A$ computing a function $f_A : \{0,1\}^* \rightarrow \{0,1\}$. We regarding the function as providing a predicted continuation of a finite binary sequence. We define an infinite binary sequence $\alpha \in \{0,1\}^\omega$ to be comp...
2019-10-21T15:42:22
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http://mathoverflow.net/questions/50126/if-the-n-th-root-of-unity-exists-locally-does-it-exist-globally
# If the n-th root of unity exists locally, does it exist globally? My question is: is it true that $\zeta_n$ is in $K$ (a number field) iff $\zeta_n$ is in all but finitely many of the $K_{\mathfrak{p}}$? - Yeah, I guess you're right... –  Makhalan Duff Dec 22 '10 at 4:16 But Grunwald-Wang aside, the answer to the q...
2015-10-05T01:57:14
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https://www.expii.com/t/product-and-quotient-rules-for-derivatives-143
Expii # Product and Quotient Rules for Derivatives - Expii The product and quotient rules tell you how to differentiate a product fg or quotient f/g, given the derivatives and values of the original functions f and g themselves.
2022-11-29T20:36:39
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https://math.stackexchange.com/questions/1754691/natural-action-of-mathbbzg-on-mathbbz
# Natural action of $\mathbb{Z}G$ on $\mathbb{Z}$? I'm studying projective modules and I'm having problem coming up with (or understanding) examples of non-free projective modules. I got that when a ring is a direct sum $R = A \oplus B$, both $A$ and $B$ are non-free projective $R$-modules via the action: $$\psi: R\t...
2019-08-25T01:06:45
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https://proofwiki.org/wiki/Union_of_Transitive_Class_is_Subclass
# Union of Transitive Class is Subclass ## Theorem Let $A$ be a transitive class. Let $\ds \bigcup A$ denote the union of $A$. Then: $\ds \bigcup A \subseteq A$ ## Proof Let $A$ be transitive. Let $x \in \ds \bigcup A$. Then by definition: $\exists y \in A: x \in y$ By definition of transitive class: $x \in...
2022-07-01T02:24:23
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https://docs.cemosis.fr/msqab/latest/index.html
# Modeling and Simulation of Air Quality in Bamako The air pollution is one of the biggest killers in the world [WHO]. Since the monitoring of urban pollutants is very expensive, the modeling of the pollutants dispersion is an alternative that offers good results in the study of air quality [Kumar] and covers the poll...
2021-12-02T18:20:18
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https://academiccommons.columbia.edu/doi/10.7916/d8-1xh3-7c82
Theses Doctoral # Time evolution of the Kardar-Parisi-Zhang equation Ghosal, Promit The use of the non-linear SPDEs are inevitable in both physics and applied mathematics since many of the physical phenomena in nature can be effectively modeled in random and non-linear way. The Kardar-Parisi-Zhang (KPZ) equation is...
2021-10-28T12:35:53
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http://edoc.mpg.de/display.epl?mode=doc&id=742562&col=94&grp=561
Institute: MPI für Astronomie     Collection: Publikationen_mpia     Display Documents ID: 742562.0, MPI für Astronomie / Publikationen_mpia The search for multiple populations in Magellanic Cloud Clusters – III. No evidence for multiple populations in the SMC cluster NGC 419 Authors: Date of Publication (YYYY-MM-DD):...
2020-08-13T03:37:23
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https://dsp.stackexchange.com/questions/16487/suitable-metrics-for-summarizing-or-visualizing-the-spatial-activation-of-compon
# Suitable metrics for summarizing or visualizing the spatial activation of components after temporal Independent Component Analysis (ICA) I will first describe the Independent Component Analysis (ICA) steps, so that the question becomes clearer, and more relevant to similar questions. Assume we have $N$ sensors dist...
2021-04-13T19:02:54
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http://mathoverflow.net/feeds/question/76890
How to estimate the pressure? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T04:44:50Z http://mathoverflow.net/feeds/question/76890 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/76890/how-to-estimate-the-pressure How to estimate the pressure? Danny Calega...
2013-05-20T04:44:54
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https://discuss.codechef.com/questions/101788/d-query-segmentation-fault-bug
You are not logged in. Please login at www.codechef.com to post your questions! × # D-Query Segmentation Fault Bug 0 I tried solving D-Query http://www.spoj.com/problems/DQUERY/ using Mo's algorithm, but my code keeps giving Segmentation Fault, have been trying for the past hour and still can't debug it. Would appr...
2019-02-24T03:08:02
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https://math.stackexchange.com/questions/444111/maximize-a-functional/444395
Maximize a functional $$F\{a(s)\} = \int\limits_0^t \left( g(a(s)) - \alpha\, v(s)^2 \right) ds, \ a(s) \in \left[0, \infty\right)$$ where $g(x) = x e^{-x}$ , $\alpha=\mathrm{const}$, and $\displaystyle v(t) = \int\limits_0^t a(s) ds$ • @MhenniBenghorbal It was the first thing I've tried. I don't undestand how to de...
2020-11-30T10:43:41
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http://www.ams.org/mathscinet-getitem?mr=1969009
MathSciNet bibliographic data MR1969009 14J45 (14E30 14J30) Mori, Shigefumi; Mukai, Shigeru Erratum: "Classification of Fano 3-folds with \$B\sb 2\geq 2\$$B\sb 2\geq 2$'' [Manuscripta Math. 36 (1981/82), no. 2, 147–162; MR0641971 (83f:14032)]. Manuscripta Math. 110 (2003), no. 3, 407. Article For users without a MathS...
2013-12-21T02:42:27
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http://mathhelpforum.com/differential-equations/146182-integration-differential-equation.html
# Thread: Integration of a differential equation 1. ## Integration of a differential equation Hi, I am unsure if I am getting the correct answer to my problem, I have to find y $\displaystyle \frac{dy}{dx} = y\cos(x)$ which goes to $\displaystyle \int\frac{1}{\cos(x)\cdot dx} = \int\frac{y}{dy}$ then $\displaysty...
2018-05-20T18:38:46
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http://mathhelpforum.com/trigonometry/179114-double-angle-formulae-print.html
# Double Angle Formulae • May 1st 2011, 01:57 AM johnsy123 Double Angle Formulae If tan(x)=2 and x is element of [0, pi/2] find the values of a)tan(2x) b) sin(2x) c) cos(2x) This is what i did. Since tan(x)=2, that would mean tan(2x)=4, so therefore tan(2x)=2tan(2)/1-tan(4) • May 1st 2011, 02:41 AM Prove It No... ...
2014-08-01T04:53:36
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http://mathhelpforum.com/statistics/70042-re-arranging-letters-word.html
# Math Help - Re-arranging letters in a word... 1. ## Re-arranging letters in a word... This is my solution to the following question. Case 3, seems to be wrong though. How many 4 letter arrangements of the word TOMORROW are there? So i separate letters into their own "buckets": T, OOO, M, RR, W So here are the ca...
2014-08-22T13:56:47
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https://www.physicsforums.com/threads/quantum-harmonic-oscillator-inner-product.822264/
# Quantum harmonic oscillator inner product ## Homework Statement Using the equations that are defined in the 'relevant equations' box, show that $$\langle n' | X | n \rangle = \left ( \frac{\hbar}{2m \omega} \right )^{1/2} [ \delta_{n', n+1} (n+1)^{1/2} + \delta_{n',n-1}n^{1/2}]$$ ## Homework Equations $$\psi_n(x...
2021-07-23T21:26:10
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https://www.physicsforums.com/threads/abba-divisible-by-11.368404/
# Abba divisible by 11 1. Jan 10, 2010 ### um0123 1. The problem statement, all variables and given/known data A four digit number can be represented by 'abba'. (where a and b are digits) 1) show that abba is always divisible by 11. 2) show that abbbba is always divisible by 11. 3) is abbba divisble by 11? 2. Rel...
2017-10-20T05:59:05
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http://math.stackexchange.com/questions/228077/algebraic-structures-with-2-distributive-laws
Algebraic Structures with 2 Distributive laws I tried finding Structures $(X,+,\cdot)$ where X is a set (either finite or infinite) and $+,\cdot$ are operators, for which the following laws apply: Let $a,b,c\in X$: $a\cdot(b+c)=(a\cdot b)+(a\cdot c)\qquad \text{(Distributivity)}\\ a+(b\cdot c)=(a+ b)\cdot (a+ c)\\ a...
2016-07-23T15:12:09
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http://www.edurite.com/kbase/function-rule-calculator
#### • Class 11 Physics Demo Explore Related Concepts # Function Rule Calculator Function Rule Calculator May a times in real life we have situations as follows, for example: In a theater showing a play, 300 tickets are sold for  3000 dollars and 500 tickets are sold for 5000 dollars. What is the rule that defines ...
2014-11-27T23:01:12
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https://cs.stackexchange.com/questions/124176/heaps-and-heapsort-find-the-7th-biggest-value-in-a-min-heap-by-o1
# Heaps and Heapsort - Find the 7'th biggest value in a min heap by $O(1)$ I have a min heap. I need to find the 7'th biggest value in the heap with $$O(1)$$. I need to build the algorithm. I dont realy have an idea how to get to this efficiency. Help? Thanks. • A min-heap is a heap with the least element as roo...
2021-04-10T19:51:05
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http://www.maplesoft.com/support/help/Maple/view.aspx?path=Logic/Random
construct a random Boolean function - Maple Help Home : Support : Online Help : Programming : Logic : Boolean : Logic Package : Logic/Random Logic[Random] - construct a random Boolean function Calling Sequence Random(alpha, opt) Parameters alpha - list or set of symbols representing the alphabet opt - (optional)...
2016-02-11T10:52:10
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