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Open access peer-reviewed chapter - ONLINE FIRST # The Knee Proprioception as Patient-Dependent Outcome Measures within Surgical and Non-Surgical Interventions By Wangdo Kim Submitted: September 23rd 2020Reviewed: November 3rd 2020Published: November 30th 2020 DOI: 10.5772/intechopen.94887 ## Abstract Propriocept...
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Monday, July 14, 2014 Short news items Over the past two months I have been on a two-week seminar tour of the UK, taken a short holiday, attended a conference in Estonia and spent a week visiting collaborators in Spain. Posting on the blog has unfortunately suffered as a result: my apologies. Here are some items of i...
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New Software and Platforms Bilateral Contracts and Grants with Industry Partnerships and Cooperations Bibliography PDF e-Pub ## Section: New Results ### Optimal control for quantum systems and NMR Participants : Bernard Bonnard, Mathieu Claeys [Imperial College, UK] , Olivier Cots, Thierry Combot, Pierre Martinon [...
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Jump to content Official BF Editor Forums # Advanced Lightmapping Tutorial (using 3dsmax) ## Recommended Posts I've been fielding a lot of questions about lightmapping static objects using Max lately, so I thought I'd take the time to do a deeper dive into the topic for you guys. Note that there is already an excell...
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# American Institute of Mathematical Sciences September  2003, 9(5): 1293-1322. doi: 10.3934/dcds.2003.9.1293 ## Bifurcation from a homoclinic orbit in partial functional differential equations 1 Department of Mathematics, The University of Miami, P.O. Box 249085, Coral Gables, Florida 33124, United States 2 Depart...
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# Finding legal knight moves in a chessboard in APL (follow-up) This question is a follow-up to this previous question of mine. Assuming I understood correctly what is outlined in this meta post. I wrote (and now, re-wrote) a function that takes as input a vector with two integers between 1 and 8 representing a posit...
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Orinetability questions. 1. Jul 28, 2008 MathematicalPhysicist I have a few question, I hope you can help me on some of them. 1.Show that if A (subset of R^n) is a submanifold with dimension, n, with boundary then dA (the boundary of A) is orientable. 2. Show that a torus in R^3 is orientable. 3.Show that a mobius ...
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# Prove or disprove: The set $V=\{(p,q) |p,q\in\mathbb{Q}\}$ is a subspace of $\mathbb R^2$ I do not understand this question and I am not very familiar with the techniques. • I suppose you are asking this question in the context of vector spaces/subspaces? Feb 21, 2016 at 7:30 • The traditional subspace test. Is $0$...
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0$, B would best respond by choosing$x-\epsilon$, where$\epsilon=\min\{y:y>0\}$(B would win of course, but she also wants to maximize her earning by making her choice as close to A's as possible). Give some other examples of human behaviour which is in the form of a Keynesian beauty contest. https://economics.stackexch...
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Level 2 attempt Help Support The Rocketry Forum: Well-Known Member Here we go again, off to the best place in the world to launch rockets, The Blackrock desert. The launch site is out on the playa or dry lakebed. I hope to get my level 2 certification this weekend. In an attempt to adhere to the K.I.S.S. method I am ...
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# How do you write the matrix [(1, -3, 0, -7), (-3, 10, 1, 23), (4, -10, 2, -24)] using the row echelon form? Jun 7, 2017 The matrix in reduced row echelon form is $\left(\begin{matrix}1 & 0 & 3 & - 1 \\ 0 & 1 & 1 & 2 \\ 0 & 0 & 0 & 0\end{matrix}\right)$ #### Explanation: The matrix is $\left(\begin{matrix}1 & - 3...
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# How do you determine the constant of proportionality if P varies inversely as Q and Q=2/3 when P=1/2? Sep 11, 2015 For the given constraints, the constant of proportionality is $\frac{1}{3}$ #### Explanation: If $P$ and $Q$ vary inversely $\textcolor{w h i t e}{\text{XXX")PQ=c color(white)("XXX}}$for some constan...
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Elementary Algebra 2e # Review Exercises Elementary Algebra 2eReview Exercises ### Review Exercises ##### Solve Systems of Equations by Graphing Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system...
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# Android, C++, C4droid, and makefiles ## Recommended Posts mynameisnafe    258 Hello ! Okay here's the deal! The NativeActivity example that comes with the NDK - awesome! Now I can build an app without dealing with Java. What I'd like to know is a simple thing, but alas I am still noobing my way around Linux dist...
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# Can you use a given prediction interval to find the predicted value of Y on the estimated regression line? Suppose you don't know the estimates of a linear regression model (b0, b1 are unknown) and you are given a 95% prediction interval at x = 6 to be [5,15]. Then, since prediction intervals are numerically symmet...
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# Give an equational proof $\vdash (\exists x)(A \lor B) \equiv (\exists x)A \lor (\exists x)B$ Give an equational proof $$\vdash (\exists x)(A \lor B) \equiv (\exists x)A \lor (\exists x)B$$ What I tried $(\exists x)(A \lor B)$ Applying Definition of $\exists$ $\lnot (\forall x)\lnot (A \lor B)$ Applying De morg...
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... never mind. If the OP is happy then so am I. Pete Last edited: DavidWhitbeck - what page in wald? Arg, Pete if I saw this earlier while I was still in the office I could have told you. It is in the chapter on derivative operators and curvature which should be chapter three. I would have to study it carefully, bu...
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How to render latex produced by embedded python code. If have the code : {python} from sympy import * from IPython.display import display init_printing(use_latex='mathjax') x=symbols('x') d=diff(sin(x)/cos(x), x) print(latex(d)) # This prints correctly: \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} +...
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# Question Help The Wall Street Journal regularly publishes an article entitled "The Count. In one article,... ###### Question: Question Help The Wall Street Journal regularly publishes an article entitled "The Count. In one article, The Count looked at 1000 randomly selected home runs in Major League Baseball. Compl...
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# Grass Seed Not Reviewed Failed to execute the [groovy] macro. Click on this message for details. Failed to execute the [groovy] macro. Click on this message for details. Tags: Rating Copied from ID KurtHeckman.Grass Seed UUID 036e1414-fabb-11e6-9770-bc764e2038f2 The Grass Seed Needed calculators computes the amount...
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02-364 Roux P., Yafaev D. The scattering matrix for the Schr\"odinger operator with a long-range electromagnetic potential (114K, LATeX 209) Sep 5, 02 Abstract , Paper (src), View paper (auto. generated ps), Index of related papers Abstract. We consider the Schr\"odinger operator $H=(i\nabla+A)^2 +V$ in the space $L_2...
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# Vortrag Modul:   MAT870  Zurich Colloquium in Applied and Computational Mathematics ## Understanding sparsity properties of frames using decomposition spaces Vortrag von Dr. Felix Voigtlaender Datum: 06.03.19   Zeit: 16.15 - 17.45   Raum: Y27H25 We present a systematic approach towards understanding the sparsity...
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# SSRO Recommended Profit Rate 2015 ### SSRO Recommended Profit Rate 2015 Single Source Regulations Office baseline profit rate and capital servicing allowance for 2015 recommendation accepted by the Defence Secretary. ### Secretary of State for Defence accepts SSRO’s recommended profit rate Single Source Regulatio...
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# Mixed Strategy Nash Equilibrium 3x2 Emiliano he wants to have fun terenówkami 32 Ford, I recommend it for aname day gifts a box full of surprises around the world. So if we want to find mixed Nash Equilibrium we should guess the sup. such as Nash equilibrium, which have strong theoretical guar-antees in two-player z...
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# What does it tell us, if we know a unital C*-algebra has approximately inner (half-)flip? This is a somewhat vague question, but I think it is not too open-ended and should admit well-circumscribed answers by specialists in operator algebras.$\newcommand{\Cst}{{\rm C}^*}$ It arises from some background reading I was...
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# Inelastic scattering and Mie theory In most contexts in which I've come across Mie theory so far, authors do not even mention inelastic scattering but just seem to imply that all scattering is elastic. The only exception I've found is Bohren and Huffman who say We restrict our treatment to elastic scattering: the f...
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# Change header1 text color in CambridgeUS beamer style I'm using CambridgeUS beamer style for my presentation. As shown in the image, in each slide, section name is shown in the top bar, but the text color is black, which makes it difficult to see. I want to change the color to white? How can I do it? I've seen many...
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Lottery Ticket Hypothesis The Lottery Ticket hypothesis states that: A randomly-initialized, dense neural network contains a subnetwork that is initialized such that – when trained in isolation – it can match the test accuracy of the original network after training for at most the same number of iterations. Traditio...
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What is Delta H for dissolution? An ionic compound has a solubility of $$1\ \mathrm M$$ in water at $$25\ ^\circ \mathrm C$$ and its solubility increases as the temperature is raised. What are the signs of $$\Delta H^\circ$$ and $$\Delta S^\circ$$ for the dissolving process? Since the the solubility increases as the ...
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# Box of chocolates (Difference between revisions) Box of chocolates is a term commonly applied to closed containers which may or may not contain a potential explosive device. Although not classified as WMDs, boxes of chocolates are often sent to unwitting recipients, who may engage in one of two activities: "pigging...
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## Tips are welcome $##### But Bitcoins are awesome :-) ##### So is XRP, NMC & LTC ##### Views # Enabling math markup (Redirected from Math rendering) Jump to: navigation, search Enabling math markupOrganic Design procedure Use this procedure to add math rendering support which is not included in the install a new s...
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Select Page # Understand the problem Let $p$ be a prime number. Find all positive integers $a,b,c\ge 1$ such that: $$a^p+b^p=p^c.$$ ##### Source of the problem France IMO TST 2012, Problem 3 Number Theory 7/10 ##### Suggested Book Challenges and Thrills of Pre College Mathematics Do you really need a hint? Try it fi...
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# Do the three ways of measuring producer’s surplus give the same result? In the Firm supply chapter of the microeconomics Varian's book, they show "three equivalent ways to measure producer’s surplus" using marginal cost, average cost and the average variable cost curves. But my teacher says, "those three ways give ...
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# Electricity, Magnetism and Circuits ## List of Symbols and notations A, B ... points in space, curves, surfaces and solids A , B ... phasor A, B ... a, b ... units $A$, $B$... $a$, $b$... variables or vectors modules $\vec{A}$, $\vec{B}$... $\vec{a}$, $\vec{b}$... vectors $\hat{A}$, $\hat{B}$... $\hat{a}$, $\hat{b...
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What made me chuckle today was Rin asking me what kind of drugs I was dealing to be able to get all these companions for her. I thought that that was pretty funny because I'm now way behind on making any figma comics lately. But since I've had a turn of events in RL, you'll see more coming in a bit. Continue reading »...
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# Prove that if $m^2+n^2=0$ then $m=0$ and $n=0$ Prove that if $$m^2+n^2=0$$ then $$m=0$$ and $$n=0$$. Given $$m^2+n^2=0$$ then $$m^2= -n^2$$. Because $$m$$ and $$n$$ are real numbers, then $$m^2 \geq 0$$, $$n^2 \geq 0$$. Therefore, $$m=0$$ and $$n=0$$. Is that correct? • Yes, correct. Or just notice that the equat...
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Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+ Title Keywords Abstract Author All Search Results: 1 - 10 of 100 matches for " " Page 1 /100 Display every page 5 10 20 Item Physics , 2000, DOI: 10.1143/PTP.104.575 Abstract: We derive a new expansion of the Heisenberg equation of...
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# aliquot ## < a quantity that can be divided into another a whole number of time /> SICP Support for DrRacket. No need for planet anymore, just use #lang sicp. #racket
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# When is the McCormick envelope exact? I know that given $$S$$ of the form $$S = \{ (x,y,z) \in \mathbb R^3: \ell_x \leq x \leq u_x; \ell_y \leq y \leq u_y; z = xy\}$$ with finite lower and upper bounds, the McCormick envelope of $$S$$ gives the convex hull of $$S$$. Are there other such known families of sets where...
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# Preparation of Grignard reagent. Free radical rearrangement Mechanism of formation of Grignard Reagent $$\ce{R-X + ^.Mg^. ->[\text{r.d.s.}] R^. + ^.Mg+X-}$$ $$\ce{R^. + ^.Mg+X- -> R-Mg+X-}$$ As the mechanism of preparation of Grignard reagent suggests, it involves the formation of free radical. And so, it is observ...
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# If I were a boy. Or a man. If given a chance to be a man (or boy) for a single day, the first thing I’d probably do is take a piss. I’ll take a piss standing up and then take a piss in a bottle while sitting down (or standing up!). I’ll go for a urinalysis to have my piss checked. I mean come on! What else can I do...
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# What is the area of physics/science called that deals with fundamental limits of computation? I am interested in learning about the fundamental limits of computation and in particular would like to read textbooks on the subject if they exist. My background is in maths and computer science - I am certainly not lookin...
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# Measure-preserving dynamical system (Redirected from Metric entropy) In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. ## Definition A measure-preserving dynamical system is defined as a probability space...
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TheInfoList Archimedes of Syracuse (; grc| ; ; ) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Considered to be the greatest mathematician of antiquity, and one of the greates...
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#18241 Flying_horse_in_saudi_arabia posted: Acdtrux posted: In 2004, it was found that job applicants to a Hooters in West Covina, California, were secretly filmed while undressing, prompting a civil suit filed against the national restaurant chain in Los Angeles Superior Court. The company addressed the incident wit...
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## Bibliography I'm Eduardo Alvarado, 2nd-year Ph.D. student at École Polytechnique in Paris (France). I work at the Geometric and Visual Computing (GeoViC) group, under the supervision of Prof. Damien Rohmer and Prof. Marie-Paule Cani. I am part of the Marie Skłodowska-Curie Innovative Training Network CLIPE, funded ...
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In mathematics, admissible representations are a well-behaved class of representations used in the representation theory of reductive Lie groups and locally compact totally disconnected groups. They were introduced by Harish-Chandra. ## Real or complex reductive Lie groups Let G be a connected reductive (real or comp...
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Magyar Information Contest Journal Articles # Problem P. 3643. (October 2003) P. 3643. Subscribers can reach the complete after signing in. The text will be public from 15 October 2003. (4 pont) Deadline expired on 11 November 2003. ### Statistics: > 316 students sent a solution. 4 points: 225 students. 3 points...
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# Volume enclosed by $(x^2+y^2+z^2)^2 = a^2(x^2+y^2-z^2)$ My math problem is the find the volume enclosed by the surface $$(x^2+y^2+z^2)^2 = a^2(x^2+y^2-z^2)$$ I used spherical coordinate substitution, $$\left\{\begin{matrix}x=\rho\cos{\phi}\cos{\theta}\\ y=\rho\cos{\phi}\sin{\theta}\\ z=\rho\sin{\phi} \end{matrix}\ri...
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If we consider the exponential notation used in abstract algebra, we get a nice mnemonic for semigroups, monoids, and groups: • Semigroup: Only positive powers are defined • Monoid: The identity element makes $$a^0 = e$$ defined, so non-negative powers are defined • Group: inverses define negative powers, so all integ...
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# Deleting folders beginning with a dash “-” on Linux If you have a folder or file which starts with a dash (e.g. “-someFolder”) then simply running rmdir (or rm for a file) will produce the following error: > rmdir -someFolder rmdir: illegal option -- s usage: rmdir [-p] directory ... A neat way to delete such a fo...
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# Singularities and Complex Geometry: Seminar on Singularities and Complex Geometry, June 15-20, 1994, Beijing, People's Republic of China (AMS/IP Studi By: Qi-keng Lu (editor), Shing-Tung Yau (editor), Anatoly Libgober (editor)Hardback Up to 2 WeeksUsually despatched within 2 weeks £62.50 ### Description This boo...
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# Changes for page Standard URL Format < From version edited by Guillaume Delhumeau on 2015/08/27 To version edited by Guillaume Delhumeau on 2015/09/08 > Change comment: There is no comment for this version ## Details Page properties Content ... ... @@ -73,6 +73,14 @@ 73 73 74 74 See [[extensions:Extension.Renderi...
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LaTeX forum ⇒ Theses, Books, Title pages ⇒ Problem with \thesistitle in Masters/Doctoral Thesis template Classicthesis, Bachelor and Master thesis, PhD, Doctoral degree PauJuan Posts: 3 Joined: Tue Jul 25, 2017 1:56 pm Problem with \thesistitle in Masters/Doctoral Thesis template I have downloaded the fantastic temp...
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# Cassini oval curve in tikz I am interested in drawing Cassini oval curve that has two foci A(-1,0) , B (1,0) and the other parameter is 3. I found this question but it won't suit my needs since asympote is not compiled by my LaTeX version and I have not worked with it before neither have I gotten to know it. So, I ...
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# Semantics The semantics of the OCaml module system is sufficiently complex that it's better left to a course like CS 6110 or even 7110. Here we'll just sketch a couple of the relevant facts. Dynamic semantics. To evaluate a structure struct D1; ...; Dn end where each of the Di is a definition, evaluate each definit...
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# Diode - equivalent? M #### max-man Jan 1, 1970 0 I need to replace a diode on an old PCB, the existing one being a 1N100 What's a suitable modern equivalent to this please? It's part of a video output circuit. Thanks M #### Michael Black Jan 1, 1970 0 max-man ([email protected]) said: I need to replace a diod...
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A Derivation of Eq. (6) # Many-body interaction in fast soliton collisions ## Abstract We study -pulse interaction in fast collisions of solitons of the cubic nonlinear Schrödinger (NLS) equation in the presence of generic weak nonlinear loss. We develop a reduced model that yields the contribution of -pulse interac...
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# 清风的技术小屋 0% ## 问题描述 Given a paragraph and a list of banned words, return the most frequent word that is not in the list of banned words. It is guaranteed there is at least one word that isn't banned, and that the answer is unique. Words in the list of banned words are given in lowercase, and free of punctuation. W...
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# Proving that the Center of Mass of a solid sphere is at the origin [closed] For my own knowledge and to understand why. I am trying to convince myself that the center of mass for a rigid solid sphere is at the origin (0,0,0). I begin with the basic definition of CM $$\overrightarrow{r}_{cm}=\frac{\sum_i m_ir_i}{\s...
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# FolderShare, (Like) DotMAC for everyone Peer to peer networking is normally associated with illegal music and movie downloads. Napster and Kazaa are largely responsible for that image, as was AudioGalaxy. Now, the creator of Audiogalaxy, Michael Merhej, is going legit and has developed a new application that puts po...
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# Generalized Eigenvector for 4x4 matrix I'm working on Systems of Differential Equations and I'm looking to find the Generalized eigenvector for the following matrix: $\left[\begin{array}{rrrr} 3 &-4 &1 &0 \\ 4& 3 &0 &1 \\ 0 &0 &3 &-4 \\ 0\ \ &0\ \ &4\ \ &\>\>\>3 \end{array}\right]$ I've found the eigenvalues, r = ...
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# Introduction The ruler sequence is the sequence of the largest possible numbers $$\a_n\$$ such that $$\2^{a_n}\mid n\$$. It is so-called because its pin plot looks similar to a ruler's markings: However, with a slight modification, we can also get a similar sequence. This sequence is $$\\{a_1,a_2,a_3,…\}\$$ where $...
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# Congruence Classes by Juanriq Tags: classes, congruence P: 42 Salutations! I believe I have one implications correct and I am looking for a push in the right direction for the other. 1. The problem statement, all variables and given/known data Let n be an integer and let $[a] \in \thinspace \mathbb{Z}_n$. Prove tha...
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Ciro Santilli $$Sponsor Ciro$$ 中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱 # Lagrangian density nosplit "Lagrangian (field theory)" words: 241 When we particles particles, the action is obtained by integrating the Lagrangian over time: $$Action=∫t0​t​L(x(t),∂t∂x(t)​,t)dt (12)$$ In the...
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From the above I have a conjunction that needs to be changed, do I simply work out the values of each prop and repeat the process for the disjunction? A statement is in disjunctive normal form if it is a disjunction (sequence of ORs) consisting of one or more disjuncts, each of which is a conjunction (AND) of one or mo...
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# MBA discount factor worksheet The discount factor tells you the value today of $1 receivable at some point in the future. If we can earn a return of 25% on our investments, then we only need to invest$0.80 today to have $1 in one year, since 1.25 ×$0.80 = $1.00. This means that a dollar in a year’s time would only b...
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Update all PDFs # Cooking with the Whole Cup Alignments to Content Standards: 7.RP.A.1 Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was working with required $\frac34$ cup of sugar and $\frac18$ cup of butter. 1. Travis accidentally put a who...
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American Institute of Mathematical Sciences November  2014, 34(11): 4589-4615. doi: 10.3934/dcds.2014.34.4589 Integrability of Hamiltonian systems with homogeneous potentials of degrees $\pm 2$. An application of higher order variational equations 1 Laboratoire de Mathématiques et d'Informatique (LMI), INSA de Roue...
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• Monalisa Patra Articles written in Pramana – Journal of Physics • Top-spin analysis of new scalar and tensor interactions in $e^{+} e^{-}$ collisions with transverse beam polarization The top polarization at the International Linear Collider (ILC) with transverse beam polarization is utilized in the $e^{+} e^{-} \...
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# American Institute of Mathematical Sciences June  2019, 39(6): 3609-3634. doi: 10.3934/dcds.2019148 ## Limited regularity of solutions to fractional heat and Schrödinger equations Department of Mathematical Sciences, Copenhagen University, Universitetsparken 5, DK-2100 Copenhagen, Denmark Received  October 2018 ...
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GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 19 Sep 2018, 19:50 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customize...
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# for loop in Java #### java software engineering for loop Reading time: 15 minutes | Coding time: 2 minutes for loop is an entry controlled loop that is widely used in Java programming language. Loop is a programming concept which is natively supported by nearly all programming languages. Loops are used to repeat ...
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# Tag Info 14 No. The wikipedia article is in my honest opinion misrepresenting this article on a reduced round attack on the SHA-2 family of hashes. Although these attacks improve upon the existing reduced round SHA-2 attacks, they do not threaten the security of the full SHA-2 family. In other words, no collisions ...
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homework help Image text transcribed for accessibility: For a Bode Approximation of a transfer function, H(s) described by: H(s) = 100s2 / (s + 4) (s2 + 10s + 400) The slope of each line at each break frequency can be described by all the statements below "except:" -40db perdecade @ 20 radians per second. +12db per oc...
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Couple (mechanics)  Couple (mechanics) In mechanics, a couple is a system of forces with a resultant (a.k.a. net, or sum) moment but no resultant force.[1] Another term for a couple is a pure moment. Its effect is to create rotation without translation, or more generally without any acceleration of the centre of mas...
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# Two decades of molecular ecology: where are we and where are we heading Diepeveen, Eveline T. and Salzburger, Walter. (2012) Two decades of molecular ecology: where are we and where are we heading. Molecular ecology, Vol. 21, no. 23 , S. 5656–5659. Full text not available from this repository. Official URL: http:/...
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# GRE (3) Calculus Level 2 ${\Large \int_{e}^{a^e}} \frac{dx}{\displaystyle x \int_{a}^{ax}\frac{dy}{y}} =1$ What positive value of $$\color{red} a$$ satisfies the equation above? ×
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# Over the Course of an Instant… As you may recall, I’m teaching analysis to this class of teachers, developing the $\epsilon$$\delta$ limit. Two weeks ago I bewildered everybody. Last week and this week, I set out to bewilder everyone even further. Let me say what I’m going for here. The $\epsilon$$\delta$ limit is ...
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Bernoulli • Bernoulli • Volume 24, Number 4A (2018), 2991-3012. Simultaneous quantile inference for non-stationary long-memory time series Abstract We consider the simultaneous or functional inference of time-varying quantile curves for a class of non-stationary long-memory time series. New uniform Bahadur represen...
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68 233 Assignments Done 99% Successfully Done In November 2018 Questions: 2 194 Free Answers by our Experts: 1 999 Many and more students who study any branch in mathematics face a lot of troubles. And calculus is one of these problems. Trying hard to learn all the formulas the students finish up with a huge number ...
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## Introduction Consider the case where we observe $$n$$ independent, identically distributed copies of the random variable ($$X_{i}$$) where $$X_{i} \in \mathbb{R}^{p}$$ is normally distributed with some mean, $$\mu$$, and some variance, $$\Sigma$$. That is, $$X_{i} \sim N_{p}\left( \mu, \Sigma \right)$$. Because we...
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# Sufficient Statistic I have a question: Does a sufficient statistic have to be one to one? For example, can $T(x) = x^2$ or $T(x) = |x|$ be sufficient statistics? I know that one to one functions of sufficient statistics are sufficient. - Hint: Can you think of an example where this is the case, say, in the contex...
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Change utility, reduce extortion post by Stuart Armstrong 394 days ago | 3 comments A putative new idea for AI control; index here. EDIT: This method is not intended to solve extortion, just to remove the likelihood of extremely terrible outcomes (and slightly reduce the vulnerability to extortion). A full solution to ...
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# Capacitor charge - LRC series circuit 1. Nov 25, 2007 ### america8371 In differential equations I was assigned a few circuit exercises. I'm having trouble understanding them, but I'm pretty sure that if can understand the first one then I can get the rest of them. The first exercise asks for time of capacitor char...
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# Rank of a Matrix In previous sections, we solved linear systems using Gauss elimination method or the Gauss-Jordan method. In the examples considered, we have encountered three possibilities, namely 1. existence of a unique solution, 2. existence of an infinite number of solutions, and 3. no solution. Based on the...
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‘Ternary’ is an R package that allows the creation of ternary plots (a.k.a. ternary graphs / simplex plots / Gibbs triangles / de Finetti diagrams) and Holdridge life zone diagrams using the familiar functions of the default ‘graphics’ package. For simple use cases, generate ternary plots using the point-and-click Shi...
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# If $ax^2-bx+5=0$ does not have two distinct real roots,then minimum value of $5a+b$ is $\begin{array}{1 1}(A)\;-1&(B)\;0\\(C)\;1&(D)\;5\end{array}$ Let $f(x)=ax^2-bx+5$ Since $f(x)=0$ does not have two distinct real roots,either $f(x)\geq 0$ or $f(x) \leq 0$ But $f(x)=5>0$ $\Rightarrow f(x) \geq 0 \forall x\in R$ $...
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Expanding an algebraic expression in powers of specific coefficients I have the following algebraic expression: (2a^4bc + a^3b^2 + a^3(c^2+2cd)d + a^2b^3d + a^2b(4c^3-c^2d-6cd^2+2d^3) + 2cd^2b^3 - b^3c^2d + b(2c^5-3c^4d+4c^3d^2+d^5-6cd^4+2c^2d^3) + ab^2(4c^3-c^2d-6cd^2+2d^3) + 2ab^4c + b(2c^5-3c^4d+4c^3d^2+2c^2d^3-6c...
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# What is the frequency range in the average of on state current rating? Latest Updated:08/01/2007 ## Question: What is the frequency range in which the average on-state current rating can be applied?
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## The Annals of Statistics ### Sequences Converging to $D$-Optimal Designs of Experiments Corwin L. Atwood #### Abstract Fedorov (Theory of Optimal Experiments (1972)) gives a sequence of designs converging to a $D$-optimal design. Several modifications of that sequence are given to improve the speed of convergenc...
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# Evaluating Two Variables You can evaluate a mathematical expression with two variables when you have the values of the variables. ## Step by step guide to evaluating two variables • To evaluate an algebraic expression, substitute a number for each variable and perform the arithmetic operations. ### Example 1: So...
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# 1. Equations and inequalities The following questions illustrate the key concepts needed in this topic. See if you can answer them. Click on the title for detailed discussion of how to tackle them. Click on or hover over the question to show the answer.
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$$\require{cancel}$$ # 11.1: Introduction The aim of this chapter is to develop a quantum mechanical theory of electron dynamics that is consistent with special relativity. Such a theory is needed to explain the origin of electron spin (which is essentially a relativistic effect), and to account for the fact that the...
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How do you write an equation in standard form with integer coefficients for the line with slope 17/12 going through the point (-5,-3)? May 3, 2018 $17 x - 12 y = - 49$ Explanation: The equation is like that: $y = m x + b$ $m$ is the slope which equals to $\frac{17}{12}$ $x = - 5$ $y = - 3$ $b$ is the intercept. So...
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Journal topic Atmos. Meas. Tech., 11, 429–439, 2018 https://doi.org/10.5194/amt-11-429-2018 © Author(s) 2018. This work is distributed under the Creative Commons Attribution 4.0 License. Atmos. Meas. Tech., 11, 429–439, 2018 https://doi.org/10.5194/amt-11-429-2018 © Author(s) 2018. This work is distributed under the Cr...
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# derived set of integers Real numbers: ordering properties 26 ... 1.1.1. However, integers like 1 or 2 are both rational numbers and integers. The following table lists some of the basic properties of addition and multiplication for any integers a, b and c: In the language of abstract algebra, the first five properti...
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Jump to ContentJump to Main Navigation Show Summary Details More options … # Open Mathematics ### formerly Central European Journal of Mathematics Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo 1 Issue per year IMPACT FACTOR 2016 (Open Mathematics): 0.682 IMPACT FACTOR 2016 (Central European Journal of Mathemat...
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Gravitational Particle Creation in a Stiff Matter Dominated Universe # Gravitational Particle Creation in a Stiff Matter Dominated Universe Juho Lankinen Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, 20014, Finland    Iiro Vilja Turku Centre for Quantum Physics, Departmen...
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# what is meant by acidic strength of HA? In HA, H is for hydrogen and A is used as hypothetical acid. Acidic strength of HA means the tendency of HA to lose H+ ions. The more readily it loses H+ more will be the acidic strength. If HA is strong acid then dissociation will be complete. HA(aq) $\to$ H+(aq) + A-(aq) For...
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