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c#, xml, serialization I'm trying looking to see if there are any obvious points of failure that I haven't seen. Any feedback is appreciated. The resulting XML looks like: <?xml version="1.0" encoding="utf-8"?> <IVideoCollection> <IVideo AssemblyQualifiedName="MyNamespace.TVShow, MyNameSpace, Version=1.0.0.0, Cultu...
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thermodynamics, heat, microwaves Title: Microwave oven heating time It's logical to think that the time it takes a microwave to heat the food would be proportional to the mass heated. But since a microwave is based on dielectric heating, I think that if you increase the mass of food there will be more water, which wil...
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quantum-mechanics, newtonian-mechanics, electric-current, probability, density Title: Probability flux: spatial variation of the phase equal to momentum? We can write any wave function as $$\psi(\vec x, t) = \sqrt{\rho(\vec x,t)}\exp{\left[\frac{iS(\vec x,t)}{\hbar}\right]}$$ for $S$ real and $\rho >0$. Here we interp...
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My question is that am I approach this question correctly? - In your conclusion, I assume you mean to say $a^{nm-1} = e$? Other than that, you are absolutely right, not much to say here. –  m_l Apr 20 '12 at 14:55 Just a tiny formatting thing: in the fourth line you mean $a^{nm - 1}$ rather than $a^{nm} - 1$. I couldn...
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(1) Players must match at least two numbers with machine to win. (2) X = 4 ##### Most Helpful Expert Reply Magoosh GMAT Instructor Joined: 28 Dec 2011 Posts: 4488 Re: A lottery is played by selecting X distinct single digit numbers from  [#permalink] ### Show Tags 30 Jun 2017, 12:07 6 2 TheMastermind wrote: Excellen...
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c++, tic-tac-toe C headers of the form <xxx.h> are deprecated in C++. In almost all cases, you can simply do <cxxx>. So here's you'd do #include <ctime>. Global variables Your whole program works via global variables. This is a terrible design, for numerous reasons. To give just one example: the global variables w and...
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localization, kalman-filter, sensor-fusion, ekf, odometry Use stochastic cloning as described in the paper. Basically given a delta pose $T_{xy}$ you have a copy of your state vector at Pose $X$ and Pose $Y$. You can now apply the delta pose directly on your state vector since you have the expected observation(the de...
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ros, roslaunch, ros-electric Title: How to prevent launch shutdown on single remote connection failure? (required="true" not working) I have a launch set up that includes two separate other launch files which are run on other machines. Those launch files have nodes with attribute required="true" set however, the firs...
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machine-learning, deep-learning, neural-network, convolutional-neural-network Title: How do I deal with additional input information other than images in a convolutional neural network? I try to convert a game state of a board game into the input for a convolutional neural network. A convolutional neural network is us...
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algorithm, functional-programming, scala, depth-first-search, immutability @jwill's question 1. You didn't mention any adjustments for the mutations of the maze. How come? Does it follow under the principle of, "Keep your mutations in small, select locations"? Indeed, I didn't cover it in the initial answer. var is n...
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newtonian-mechanics, work Title: Work and its nature? Suppose we have a constant force $\overrightarrow{F}$ and in the direction of force we have 2 point $x_1$ and $x_2$ in that order. And we have to calculate work done on moving frok $x_1$ to $x_2$ and $x_2$ to $x_1$. Why and where is the following going wrong ? Mov...
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electric-circuits, electric-current, electrical-resistance, voltage $$ In these expressions involving the time variable $t^{\prime}$ one can drop the prime on the $t^{\prime}$ if one so wishes. Taking the ratio of ${\bf V}$ to ${\bf I}$ yields, $$ \frac{{\bf V}}{{\bf I}} = \frac{V_0}{I_{0}}e^{j\theta} = Ze^{j\theta} =...
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ros, catkin, release Title: catkin_generate_changelog issue with a repo that consolidated multiple repos On a repository that consolidated packages from multiple repos, I can't seem to update the existing CHANGELOG.rst. What's the issue and is there a way to proceed? $ cd moveit $ catkin_generate_changelog Found pack...
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## 1 Answer You've evaluated it correctly although it is easier to see the rank through the columns in this case. The last column of zeros places an upper bound on the rank at 3; from that alone you can conclude the system is not observable. Specifically, the first three columns are linearly independent so then you ca...
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c++, c++11, inheritance, polymorphism, fluent-interface I have a couple of issues with this: That is an ugly place to have a new operator, could it be avoided somehow? After having called the method name("name") the type is lost so there is still an ordering to respect: add((new Square)->name("s1")->side(1.)) will no...
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\left(\begin{array}{c}n\\ r\end{array}\right)(​n​r​​) is calle… where A is the permutation, $$A_n^k = \frac{n!}{(n-k)! This article explains how to typeset them in LaTeX. k-combinations of n-element set. }}{{k!\left( {n - k} \right)!}} The combination (n r) (n r) is called a binomial coefficient. The binomial coefficie...
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quantum-mechanics, quantum-field-theory, quantum-electrodynamics, hydrogen Title: How could we describe the electric bound state like hydrogen by QED? We can solve the Schrodinger equation for the Hamiltonian operator from the classical Hamiltonian of hydrogen bound state, consisting of proton and electron attracting ...
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Math What substitution could I use to integrate a/(a^2 + x^2)^3/2 dx 1. 👍 2. 👎 3. 👁 1. Let u = x/(x^2 + a^2)^1/2 and you will find that (1/a^2)* du = integral of dx/(x^2+a^2)^3/2 which is the integral you want. Therefore u/a^2 = (x/a^2)/(x^2 + a^2)^1/2 1. 👍 2. 👎 2. Computer program says the answer is x/(a*(...
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thermodynamics, time Title: First Law of Thermodynamics as a rate equation In a standard engineering thermodynamics textbook (Fundamentals of Thermodynamics, Sonntag, et. al, 6th ed) the First Law of Thermodynamics is differentiated with respect to time, and written as a rate equation. It is stated (p. 141): "In so do...
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navigation, mapping, turtlebot, amcl Title: Are there any interesting pgm map files available for simulation? Hello, I am looking for some interesting .pgm (and related yaml) map files to use in simulation in player stage, with a turtlebot. I have found a set of willow garage maps here: http://pr.willowgarage.com/da...
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quantum-mechanics, hilbert-space, operators, phase-space, quantization Title: What if we skip polarization in geometric quantization? In QM, we most frequently work with "position-space" representation of the CCR $$ \mathcal{H} = L_2(\mathbb{R}, dx), \quad X = x, \quad P = - i \hbar \frac{d}{dx}. $$ Sometimes it's use...
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shortest-path Description: Tentative distances to B and D determined. C not yet visible. Shortest distance from previous step taken. No new information on shortest path to B. Tentative distance to C now known. No new information on D. We choose to backtrack to A, and then move to D because the distance to D (2) is sm...
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reductions, linear-programming Title: Does there always exist equivalent (M)(I)LPs with and without objective functions? For computing pure Nash equilibria (game theory), there exists a MILP method in literature (clicky). In the proposed MILP, there is no objective function. A solution is a pure Nash equilibrium if it...
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quantum-mechanics, quantum-interpretations, probability, phase-space, wigner-transform $$ goes as follows. The expectation value of the operator $\hat{f}(\hat{X},\hat{P})$ in the Schrödinger position representation $$\tag{2} \hat{X} ~\longrightarrow~x, \qquad \hat{P} ~\longrightarrow~ -i \frac{\partial}{\partial x...
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c++, beginner, strings, c++11, unit-testing TEST(StringTokenGenerator, DoubleQuoteEmptyFromBegining) { auto tokenGen(std::make_shared<DoubleQuoteStringTokenGenerator>()); ASSERT_EQ(tokenGen->GetToken(), "\"\""); ASSERT_EQ(tokenGen->GetToken(), "\"\""); ASSERT_EQ(tokenGen->GetToken(), "\"\""); ASSER...
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Then by the induction hypothesis we find pairwise disjoint open sets $U_1, \ldots U_n$ areounf $A_1, \ldots A_n$ resp. Then $U_1 \cap O, U_2 \cap O, \ldots, U_n \cap O, O'$ are the required pairwise disjoint open neighbourhoods of all $A_i$. Let $d$ be a metric for the space. For $n=2:$ For $x\in A_1$ let $r_1(x)>0$...
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c++, algorithm, graph Title: Graph data structure implementation I just started using C++, and I was wondering if my code fits the standards so far. Specifically, I was wondering if I did the addEdge, isConnected, and getShortestPathForm methods correctly. For instance, are the parameters correct as Vector<T> &v or sh...
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Case 1. $H \subset X \times D_\kappa$ and $K \subset X \times D_\kappa$. Case 2a. $H=X \times \left\{p\right\}$ Case 2b. Exactly one of $H$ and $K$ intersect the set $X \times \left\{p\right\}$. Case 3. Both $H$ and $K$ intersect the set $X \times \left\{p\right\}$. Remarks Case 1 is easy. Case 2a is the pivotal case....
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java, mysql Title: Client for handlersocket server I wrote a simple client for handlersocket server, but I'm not a professional Java programmer and would like to know the opinion of Java developers on my code. Well I have not yet decided how to implement a class HSResult. My project is here HSResult store initial quer...
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# Solving A Quadratic Equation by Factoring How to solve the following quadratic equation by factoring? And what to do when the 2nd degree term has a non-1 coefficient? $$3x^2 + 11x - 4 = 0$$ Essentially, what I'm asking is how can I factor $3x^2 + 11x - 4$ as the product of two linear expressions? • I usually fac...
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quantum-mechanics, quantum-spin, complex-numbers $$ In both case the coefficients $\alpha_u\alpha_u^*=\alpha_d\alpha_d^*=\frac{1}{2}$ but clearly the states are different. To complete the trick you might also care to expand $\vert +\rangle_x$ in terms of $\vert +\rangle_y$ and $\vert -\rangle_y$: the coefficients (cal...
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ros, parameters Title: Where is the doc of object parameters of electric & fuerte gazebo? I followed simulator_gazebo tutorials. I run rosrun gazebo spawn_model -file `pwd`/object.urdf -urdf -z 1 -model my_object Where are those parameters document? Thank you. Originally posted by li-an on ROS Answers with karma:...
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ros, ros-melodic, boost Additional Make Args: None Additional catkin Make Args: None Internal Make Job Server: True Cache Job Environments: False --------------------------------------------------------------------------------------------------------------------------------------------------------------...
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imu, navigation, clearpath, robot-pose-ekf, encoder Original comments Comment by 2ROS0 on 2014-07-15: Thank you for your answer. I meant that the frame_id of the /encoder "odom_combined" is not on my tree and not the child_frame_id. I only have "odom" in the tree. I have made the edit in the question. Thanks. Comment ...
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By symmetries, $IB=ID=IE=IF=IG$. • This proves that $D,E,F,G$ lie on a circle. Why does $B$ lie on this circle as well? – timon92 Jul 6 '18 at 8:25 • @timon92: $BIF$ and $BIG$ are isoceles. – Yves Daoust Jul 6 '18 at 8:26 • Cool! Now the first part of the solution is redundant. I would consider to write the chain of e...
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n-body-simulations, lagrange-point, eccentric-orbit, eccentricity They start with a normal halo orbit (e=0) then evolve it to a "resonant" closed orbit where after $M$ periods of Mercury (in the inertial frame) the third body has orbited $N$ times. Thus the multi-lobed appearance in the rotating (synodic) frames as sh...
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genetics, molecular-genetics That looks a lot more easier and a lot less prone to errors. Why do we have weird methods such as shotgun? Thanks in advance. Let me know if i should clarify or update anything in this question. This is a technique from the "old time" of genome sequencing. The underlying method for sequenc...
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isometry, such as a translation, rotation, reflectionor some combination thereof. These tips will help you find an activity or worksheet to for your high school students. Squares with the same sides will superimpose on each other. Use this immensely important concept to prove various geometric theorems about triangles ...
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general-relativity, metric-tensor, coordinate-systems, tensor-calculus, invariants Title: Why does contracting a term with a tensor means a portion of this term is a tensor? I am looking at a problem in Guidry's Modern General Relativity, and the solution contains the following two sentences: In the scalar product ex...
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programming-languages, computation-models Title: Programming language where every expression makes sense Per recommendation I am reposting this from Stack Overflow. Recently I have been thinking about following issue. Consider the code for a standard "Hello world!" program: main() { printf("Hello World"); } Now ...
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c++, performance, c++11, breadth-first-search, chess KMPath.cpp #include <stdexcept> #include <algorithm> #include "KMPath.h" #include "KMBoardDimensionConstants.h" KMPath::KMPath() : //m_SingleSideBoardDimension{DefaultBoardDimensionOnOneSide}, m_ReachedDestination{false}, m_Valid{false}, m_PathLength{0}, m_...
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Books in black and white Books Biology Business Chemistry Computers Culture Economics Fiction Games Guide History Management Mathematical Medicine Mental Fitnes Physics Psychology Scince Sport Technics # Elementary differential equations 7th edition - Boyce W.E Boyce W.E Elementary differential equations 7th edition...
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homework-and-exercises, thermodynamics Title: Container divided into 2 parts with $p, \ V, \ T$ known, what is the final temperature So, this problem was given to 10th graders in a town physics olympiad. A thermally insulated container is divided by a thin thermoconductor wall in 2 compartments with volumes $V_1 = 3L$...
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vba, excel Range("A200:A211").EntireRow.Hidden = False After Rows("200:211").Hidden = False Application.ScreenUpdating = True is no longer required. ScreenUpdating now resumes after the code has finished executing. Refactored Code Private Sub Worksheet_Change(ByVal Target As Range) Application.ScreenUpdating ...
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ros, ros-kinetic, source This is the CMake of the project : cmake_minimum_required(VERSION 2.8.3) project(semrob_generic) ## Find catkin macros and libraries ## if COMPONENTS list like find_package(catkin REQUIRED COMPONENTS xyz) ## is used, also find other catkin packages find_package(catkin REQUIRED COMPONENTS cmak...
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doesn't rule out anything and thus it could be either coin with equal probability. to bet you even money that it is the two headed coin. One coin has been specially made and has a head. He selects a coin at random and flips it twice. One coin is chosen at random and flipped, coming up heads. Perform the following exper...
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algorithm, c, tic-tac-toe should have the first letter capitalized. typedef struct { char name[30]; char symbol; } Player; Initialize the Variables When They are Declared I may not have looked hard enough, but I only found one place where a local variable was initialized when it was declared. The following is...
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Or Euler's (off the top of my head): By unique factorization $$\begin{array}\\ \sum_{k=1}^n \dfrac1{k} &\le \dfrac1{\prod_{p \le n}(1-1/p)}\\ &=\prod_{p \le n}(1+\frac1{p-1})\\ &\le\prod_{p \le n}e^{\frac1{p-1}} \qquad\text{since } e^x \ge 1+x\\ &=e^{\sum_{p \le n}\frac1{p-1}}\\ \text{so}\\ \sum_{p \le n}\frac1{p-1} ...
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homework-and-exercises, thermodynamics, ideal-gas Title: Why does this thermodynamics problem seem to have two answers? The problem goes as: For an ideal gas, molar heat capacity varies as: $C = C_v + aV$, where $a$ is a constant. Now we are asked to find a relation between Temperature and Volume. The way I approached...
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quantum-chemistry At this point, I can solve the rest of the problem, but I am stuck on how the conversion worked, and I was wondering if anyone could help me. Another question I have is that when solving for the electron-electron repulsion energy, would the conversion between the first integral expression to the seco...
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python, rest Is there a more proper way to have access to functions of class A through the REST Api instead of passing it to the Resource class using the resource_class_kwargs? This implementation works but feels like it's a hack and not very scalable if the API grows. The initial approach is over-complicated and has ...
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c++, memory-management, sdl CWindowWrap& operator=(CWindowWrap&& move){ using std::swap; swap(ptr_window, move.ptr_window); } operator SDL_Window*() { return ptr_window; } // implicite conversion between CWindowWrap ---> SDL_Window*; private: SDL_Window* ptr_window = nullptr; }; ...
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python, beginner, object-oriented, hangman @property def is_dead(self): return self.remaining_chances <= 0 @property def is_solved(self): return all(letter in self._hits for letter in self.word) @property def diagram(self): return hang_phases[self.remaining_chances] @...
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python, homework, django return units_in_use, units_available, persons_quarantined def generate_context() -> dict: """``` schema = { "connected": bool, "has_data": bool, "data": { "date": f"%d/%m/%Y", "units_in_use": int, "units_available": int, ...
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# What's the sum of this series? [duplicate] I would like to know how to find out the sum of this series: $$1 - \frac{1}{2^2} + \frac{1}{3^2} - \frac{1}{4^2} + \frac{1}{5^2} - \frac{1}{6^2} + \cdots$$ The answer is that it converges to a sum between $\frac 34$ and $1$, but how should we go about estimating this sum?...
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Now, the answer becomes a matter of simple algebra: $$\sum_{i=2}^{n+1} \frac{1}{i^2} = \sum_{i=2}^{n} \frac{1}{i^2} +\frac{1}{(n+1)^2}\lt 1-\frac{1}{n}+\frac{1}{(n+1)^2}\lt 1-\frac{1}{n}+\frac{1}{n(n+1)} = 1-\frac{1}{n+1}.$$
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formal-languages, computability, context-free, formal-grammars Title: Is the problem of determining whether a CFG generates a string in the form 0*1* decidable? Given a grammar $G$, is it decidable whether $G$ generates any string in the form $0^*1^*$? Why? I think it's undecidable but can't find any undecidable prob...
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ros, laser, ros-kinetic, scan, transform Title: Reading data from the shifted laser, as if it was in the middle I have algorithms that use raw data from laser [-pi/2;pi/2]. Earlier, the laser was in the middle of the robot. Now it has been moved closer to the left front edge and rotated by pi/4. What is the best way ...
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gravity, orbital-motion Title: Practical limits on the size of orbiting objects: could two pebbles orbit each other As I understand it, gravity is inherent to mass and therefore even a small rock has its own gravitational pull. It seems entirely plausible then that a rock 1" in diameter could orbit a bigger rock, say ...
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biochemistry, kinetics A select few, however, bind more strongly, and are not released by the structure changes of the receptor. When this happens, the receptor is stuck in the "on" position. One of two things then happens; either the receptor continues to activate, causing neural impulses which your brain eventually ...
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php, e-commerce public function isEmpty() { $total = 0; foreach ($this->container as $entry) { $total += $entry['quantity']; } return $total <= 0; } public function getAll() { $cart = array(); foreach ($this->container as $entry) { ...
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temperature, topography, air Title: How to remove effect of topography on Air temperature in Excel? I traversed a route in a city. The route has different elevation. So I need to remove the effect of elevation from my air temperature measurements. The measurements done by temperature data logger mounted over a car and...
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image-processing, measurement By combining these statistics we can get an impression of the quality from a more objective point of view, instead of just looking at the images. It also leads to pointers where the changes might come from. It all depends on what you mean by "quality". If it is visual quality as perceive...
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cc.complexity-theory, co.combinatorics, communication-complexity Background: The motivation for this questions comes from communication complexity. In the setting of communication complexity, two players, Alice and Bob, get inputs $x$ and $y$ respectively, and interact in order to compute some function $f(x,y)$. Here,...
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# How to compute Integral I wonder how to compute the following integral (for any natural number $n\geq 0$): $$\int_a^b (b-x)^{\frac{n-1}{2}}(x-a)^{-1/2}dx.$$ Does anyone know the final answer and how to get there? Is there a trick? Thank you very much! - Hint: $$\int_0^1 dt\: t^{m-1} (1-t)^{n-1} = \frac{\Gamma(m) ...
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python, python-3.x, django, youtube, oauth Fill it out, or delete it. Generator mutability This: players = list(chain(Goalie.objects.all(), Skater.objects.all())) for player in tqdm(players): should not use list, because you never change the contents. Use tuple instead. Just break This: updated = ...
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A linear transformation maps straight lines continuously to straight lines, equal distances on a single line to equal distances, and additionally the origin to the origin. Without the third condition, it's called an affine transformation. Proof that those conditions are sufficient to recover the usual definition: Be ...
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objective-c, ios { static NSString *simpleTableIdentifier = @"SimpleTableCell"; SimpleTableCell *cell = (SimpleTableCell *)[tableView dequeueReusableCellWithIdentifier:simpleTableIdentifier]; if (cell == nil) { NSArray *nib = [[NSBundle mainBundle] loadNibNamed:@"SimpleTableCell" owner:self op...
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filters, filter-design, digital-filters Latency: Don't care about it. Really, don't, unless you need to. You're doing this with typical audio sampling rates? Remember, $96\,\frac{\text{kS}}{\text{s}}\overset{\text{ridiculously}}{\ll}141\,\frac{\text{MS}}{\text{s}}$ mentioned above. So the time spent computing the filt...
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The total weight for any given amount of washers is: $T W = \text{weight of pail"+"number of washers"xx"weight of one washer}$ We know that when there are 40 washers, the pail weighs 500 grams, and so: $500 = \text{weight of pail"+"40"xx"weight of one washer}$ and we also know that when there are 20 washers the tot...
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reference-request, lo.logic, proof-complexity, automated-theorem-proving Title: Automated theorem proving via unsupervised approaches This question Where and how did computers help prove a theorem? considers some automated theorem proving successes. However they seem to be mostly supervised approaches, such as with th...
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c++, parsing, console Create a function for the outermost loop You made lots of functions to help parse options, but you still have a loop you have to manually write in main(). You can easily make a function for that, so that your main() would look like: int main(int argc, char* argv[]) { parseOptions(options, arg...
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ros-kinetic Title: move_group Python interface collision and visual mesh Hi, I am using the Python move_group interface for MoveIt. planning_scene_interface.py specifies a function add_mesh to add a model to the scene, limited to only 1 mesh file. Is it possible to add a model with both a collision and visual mesh to...
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python, python-3.x, tkinter global answerEntry answerEntry = Entry() answerEntry.place(x=300, y=125) isCorrectBtn = tk.Button(text="Check Answer", command=isCorrect) isCorrectBtn.place(x=300, y = 150) def isCorrect(): answerEntered = int(answerEntry.get()) if answerEntered != correctAnswer: ...
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quantum-field-theory, hilbert-space, vacuum and that the interstellar vacuum has nothing to do with the vacuum state of QFT? QFT is a mathematical tool to fit observations . Observations depend on measurements, which have a specific accuracy. Modelling experimental results with a QFT depends on the level of accuracy ...
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python, performance, programming-challenge, primes, comparative-review $ time pypy3 p.py 15485867 pypy3 p.py 1.26s user 0.06s system 100% cpu 1.319 total CPython improves a lot with this, although PyPy doesn't really improve. This makes sense: you do a lot fewer operations but each operation is more complicated. S...
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filter-design, lowpass-filter, infinite-impulse-response Title: Analog Filter Prototype to Direct Form Second Order Cascade I've been using the Faust programming language a lot lately for experimenting with DSP, and I've been digging into their implementation of an Elliptic (Cauer) Lowpass filter. Here's an example of...
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ros-kinetic, transform turtle_tf_broadcaster.cpp:(.text._ZN3ros27SubscriptionCallbackHelperTIRKN5boost10shared_ptrIKN9turtlesim5Pose_ISaIvEEEEEvE11deserializeERKNS_43SubscriptionCallbackHelperDeserializeParamsE[_ZN3ros27SubscriptionCallbackHelperTIRKN5boost10shared_ptrIKN9turtlesim5Pose_ISaIvEEEEEvE11deserializeERKNS_...
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gazebo Originally posted by Jim Greene on ROS Answers with karma: 26 on 2021-02-28 Post score: 0 I actually found the issue. I had copied/pasted the definition for the ray sensor, and had not paid attention to the fact that the min_angle/max_angle vlaues for the scan element were in degrees, and not radians. After ...
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scattering-cross-section Title: Integrating the differential scattering cross section In classical scattering theory, the differential scattering cross section, σ(Ω), is defined such that σ(Ω)dΩ is the number of particles scattered into the differential solid angle dΩ in the direction Ω per unit time, divided by the i...
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Here is the data in form of a scatter plot: plot(poly.data$x, poly.data$y) #### Fitting a curve in R: The Notation in R The statistical software R provides powerful functionality to fit a polynomial to data. On of these functions is the lm() function, which we already know. However, in order to fit a $$k^{th}$$-dime...
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evolution, terminology, natural-selection, computational-model, definitions A variation exists between some fitness related hereditary material as regards their final causal effect on the degree of their fitness in a common environment $E$. Mathematically speaking, this is: $\exists E, g_1, g_2( E \text { is an envir...
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climate-change, earth-history, glaciology, ice, ice-age The Huronian glaciation lasting presumably from 2.45Ga to 2.22Ga (see a small review in Van Kranendonk, 2012). The issue here being that the accuracy of paleoproterozoic event datation does not really allow to go much more into the details as this (both because o...
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general-relativity, energy-conservation, conservation-laws, symmetry, vector-fields $$\nabla^b J_b=0 \tag{1}\:.$$ Indeed, if $\Sigma$ is any spacelike smooth 3-surface transverse to $K$ (it generally does not exist if $K$ is not timelike), it can be viewed as a rest space of an observer evolving along $K$ (moving $\Si...
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electromagnetism, magnetic-fields, vectors, notation $$L^{-1}[B] = [\mu_0] [j] = [\mu_0] [I] L^{-2},$$ where I've used the fact that the curl is a derivative with respect to position, and that $j$ is the current ($I$) density. Now, with the definition of current as being charge per unit time, I'll leave it to you to s...
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java, object-oriented Now the Customer class no longer needs to keep track of the books that this customer currently has. If you return a book, the librarian usually scans it to find out which book you're returning (with correct ID in the system etc...). This should now be handled in the Library class with a method li...
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# Does t test only work for continuous random variable? When using t test normally we would assume the original data follows normal distribution, but if the sample size is large enough, this assumption can be ignored due to Central Limit Theory. I thought since normal distribution is for continuous random variable, e...
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Proof $$\$$ Wlog $$\,n\ge k\,$$ so $$\,a^{\large n-k}\color{#0a0}{a^{\large k}}\equiv \color{#0a0}{a^{\large k}}\!\!\!\overset{\color{#0a0}{\rm cancel}\!\!}\iff a^{\large n-k}\equiv 1$$ $$\Leftarrow\!\![\color{#f50}\Rightarrow]\ n\equiv k\pmod{\!e}\,$$ by here, where we $$\color{#0a0}{{\rm cancelled}\ a^{\large k}}$$ u...
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Here, $\mathrm{acos}$ is the principal arc cosine defined in Aprahamian and Higham (2016), where this result and analogous results for the arc sine, arc hyperbolic cosine, and arc hyperbolic sine are derived; and $\mathrm{sign}$ is the matrix sign function. ## History The unwinding number was introduced by Corless, H...
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ros2 Originally posted by William with karma: 17335 on 2018-03-27 This answer was ACCEPTED on the original site Post score: 4 Original comments Comment by gvdhoorn on 2018-03-28: re: VPN: you could take a look at tinc. It's a relatively easy to setup peer-to-peer VPN, works on just about any platform and deals with N...
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php, object-oriented, exception, error-handling A class cannot check if the calling code is checking the return value of its method. You may return false or ERROR, but if the caller doesn't check it, you might aswell return a Shakespeare sonnet... If you receive bad data, don't try to make sense of it, or don't try to...
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materials, reactivity, carbon-allotropes Title: Is graphene chemically reactive? Different internet sources say different things. If possible, can someone explain why it is (or isn't) chemically reactive? Graphene in its pristine form, a single sheet of pure sp2 hybridized benzenes, is (relatively speaking) one of the...
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algorithms, arithmetic, memory-hardware Title: Why Does The Division Alorithim Need [Register Size] + 1 Iterations Following this flow diagram for division hardware I made a program to "simulate" division on $N^+$. # 4 bit version def div(dividend, divisor) quotient = 0 remainder = dividend divisor <<= 4 for ...
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image-processing, fourier-transform, python Title: What's wrong with this code for tomographic reconstruction by the Fourier method? I've been playing around with tomographic reconstruction algorithms recently. I already have nice working implementations of FBP, ART, a SIRT/SART-like iterative scheme and even using s...
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machine-learning, gradient-descent, backpropagation It isn't. Or at least you shouldn't think too hard about the analogy. What you are actually doing is calculating the gradient - or partial derivative - of the error/cost term with respect to the activations and weights in the network. This is done by repeatedly appl...
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https://www.cs.sfu.ca/~ggbaker/zju/math/planar.html 0 yes anu, what you said is correct. but i read it somewhere, anyways i am correcting it in my answer because i didn't find any source to confirm that |R|<=2*|V|-4 0 Check corollary 2 here, to proof E <= 2V - 4, When there is no triangle in the graph. http://www.pe...
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• You have to show that the set $\{m\;|\;m>0 \text{ and } f(m)\le 0\}$ has a minimal element, and that this minimal element is non-zero. This is not obvious, because it might not actually contain its greatest lower bound. It's not hard to prove by continuity that this can't happen, but you have to prove it. Jan 31, 201...
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special-relativity, inertial-frames, observers Is there an absolute state of the universe? Of course there is --- the coffee shop is where it is, and no place else. Are there different ways to describe that state? Of course there are. You say the coffee shop is to the left and I say it's to the right. We can perf...
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ros-melodic, rosdep In other words, it has created the sources list and recommends you to update it. After that you never have to run rosdep init again. Comment by AibohphobiA on 2022-05-24: Oh wow, silly me. just waster a lot of time on nothing. Thanks for your help! btw, is there any was of testing that it's initial...
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python, python-3.x, hash-map Title: Add 100 to all values in nested dictionary I want to change all values in a multidimensional dictionary. I have written this line of code, which does what I want it to do and I am trying to find out if this is the optimal way or just some convoluted solution I came up with: dict_da...
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