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thermodynamics, statistical-mechanics, entropy Replica coincidences There is another interpretation of the Shannon entropy in terms of coincidences which is interesting. Consider the probability that you pick two values of the random variable, and you get the same value twice: $$P_2 = \sum p_i^2$$ This is clearly an e...
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7 + 8 + 0 + 1 + 5 = 24, which is divisible by 3. You are given an array of integers(arr) and a number K. 4: If the last 2 digits are divisible by 4. 3) Sum of first n even numbers = n ( n + 1) 4) Even numbers divisible by 2 can be expressed as 2n, n is an integer other than zero. 8 is divisible by 4 completely. Input a...
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ros, gazebo, answers.ros.org Title: What questions belong on answers.ros and what belong in other places? I've seen questions related to using ros with gazebo on answers.ros (and even asked a few myself too), but since answers.gazebosim.org has become active (and no longer has a wait period for questions to be approv...
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c++, array, c++14, c++17, bitset Note that this uses for loop in a constexpr function and uses the operator[] on the std::array and so requires C++17 or later. Consider adding operator[] The std::bitset uses std::bitset::reference to enable operator[]. You could probably do the same. Note that there are two flavors;...
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beginner, c, file, io The line variable is a long long, so the format string should use %lld. In the same file, you have a number of int value variables that aren't used for anything. Get rid of them. In nanstring.c, you assign the result of strlen to an int. This should be size_t. Now for two pairs of errors. In nans...
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ros2, ros-humble, dds, ros-iron #8 0x00007fff7242f42a in ?? () from /opt/ros/humble/lib/libfastrtps.so.2.6 #9 0x00007fff720eced2 in eprosima::fastdds::dds::DataReaderImpl::read_or_take(eprosima::fastdds::dds::LoanableCollection&, eprosima::fastdds::dds::LoanableSequence<eprosima::fastdds::dds::SampleInfo, std::integ...
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and steel making plants 0 votes 0 answers Two paper pulp plants$P$and$Q$...$P$and Plant$Q$both use the Kraft process Plant$P$uses Sulfite process Plant$P$uses Kraft process 0 votes 0 answers Match the industrial processes in$Group-I$with the catalyst materials in$Group-2$.$\begin{array}{cc}\\ \\ &\text{Group-1} & \text...
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tensor-calculus, relativity, definition, covariance, invariants Title: What is the difference between invariance and covariance? In relativistic physics, paricularly in General Relativity and Quantum Field Theory, we often find the use of the two terms 'invariance' and 'covariance'. But I couldn't find any mention of ...
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homework-and-exercises, electric-circuits, electrical-resistance, voltage They picked the reference node and wrote the KCL equation for that node. However, when I was learning the Node-Voltage Analysis, i thought that there is no current flowing through the ground and that I don't need to write down the equation for K...
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optimization, sets Title: Find non-overlapping subsets that maximize the sum of their values Given a set of elements $N$, a set $S$ of subsets of $N$, and a function $v:S \to \mathbb R$, determine a set $R\subseteq S$ of non-overlapping subsets that maximizes the total value. Has this problem already been studied so...
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java, statistics //As the above suggests, the below methods serve to extract values from ArrayLists and add them to the //appropriate input or output list /** * Splits pairData into two lists of input and output then calls addValues * @param toAdd */ public void add...
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Consider the two-tank model. Assuming the tanks are identical, and using the same parameter values as used for the single gravity-drained tank, compute values for all coefficients appearing in the multivariable linear model. Is the system stable? What makes you think so? 3. Isothermal CSTR with second-order reaction¶ ...
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homework-and-exercises, statistical-mechanics, plasma-physics, kinetic-theory In fact, if you are worried about shielding, you can actually think of a monatomic atom as a super simple analogy to a plasma. The nucleus is positively charged while the electron cloud is negatively charged. However, outside the electron ...
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php, pdo, session if( $RowCount == 0 ){ // User doesn't exist $_SESSION['message'] = "Não existe um usuário com este e-mail."; header("location: error.php"); exit; } else{ // User exists if( password_verify($_POST['password'], $user['password'])){ $_SESSION['email'] = $user['email'];...
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objective-c, ios NSMutableDictionary* newParams = [NSMutableDictionary dictionaryWithDictionary:parameters]; UsersWS* ws = [[UsersWS alloc] initWithURL:GET_LIST_OF_USERS_ID Url:GET_LIST_OF_USERS_URL]; self.userListWS = ws; ws.delegate = self; [newParams removeObjectForK...
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Math Help - solve x^3 - 12x + 16 = 0 1. solve x^3 - 12x + 16 = 0 Hi I can't see how to factorise this. And can't think of another method. Can someone please help? x^3 - 12x + 16 = 0 Angus 2. This polynomial is $\displaystyle P(x) = x^3 - 12x + 16$. Notice that $\displaystyle P(2) = 2^3 - 12\cdot 2 + 16 = 8 - 24 ...
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quantum-field-theory, research-level How does one define this theory on general 4-manifolds? Thanks. I figured this out a little while ago, so as not to leave any of you hanging, here is a (almost complete) resolution. First, there is a lattice formulation of the 2-gauge theory that agrees with the 1-gauge theory up t...
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mobile-robot, control, matlab \dot{e} = A\hat{x} + Bu -A\hat{x} - Bu - L(y - \hat{y}) \\ \dot{e} = \left(A\hat{x}-A\hat{x}\right) + \left(Bu-Bu\right) - L(y - \hat{y})\\ $$ The input terms there $Bu$ cancel. Also, we can substitute in the expression for $y = Cx$ and $\hat{y} = C\hat{x}$: $$ \dot{e} = \left(A\hat{x}-A\...
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vb.net, pdf Return MergeAll(PDFFileDirectory, OutputFileName, OverwriteExistingPDF, SortOrder, False) End Function
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is two step in nature and requires less number of stages per step compared to the existing Runge-Kutta Nystrom (RKN) method. These higher-order explicit RK methods operate in a similar fashion to Forward Euler in that they approximate the solution to y(t) by stepping to P Ù. I am trying to develop a Matlab function for...
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There are two questions here, the first of which is how to handle the unorthodox $\log_{e^2}$, while the second is how to handle the sum inside the parentheses. For the first question, I recommend not depending on formulas that may seem to come from on high, but rather going back to the definitions: \begin{align} \log...
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quantum-algorithms, complexity-theory, deutsch-jozsa-algorithm Title: What is quantum advantage truly? Let's consider the Deutsch Jozsa algorithm, I understand that the superposition principle in quantum mechanics, helps us design circuits which would give answers in one single query. But then I would expect the query...
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zoology, entomology, ethology You can see an additional video of a click beetle doing so here.
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and obtain a working code that solves eq. The solution to the 1D diffusion equation can be written as: = ∫ = = L n n n n xdx L f x n L B B u t u L t L c u u x t 0 ( )sin 2 (0, ) ( , ) 0, ( , ) π (2) The weights are determined by the initial conditions, since in this case; and (that is, the constants ) and the boundary ...
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at the origin. Run with full_output = 1 to get quantitative information. In this case the critical point is again called a node or a nodal source. representing the general picture are called the phase portrait. MathQuest: Differential Equations. In this case these are the equations for  In this video David explains how...
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Series[/affmage] [affmage source=”amazon” results=”10″]Power. You can also see the Taylor Series in action at Euler's Formula for Complex Numbers. The approach really becomes useful when there is no other good way of representing a function. For instance, look at the power series. INFINITE SEQUENCES AND SERIES 11. When...
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- Ok thanks! So if a question says order doesn't matter.. its 100% a combination equation? I posted a question a few days ago and someone kind of clarified the confusion, but I'd love to hear your feedback if you don't mind: math.stackexchange.com/questions/718899/… –  Cozen Mar 22 '14 at 22:48 @Cozen Yes, that is true...
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solar-system, history Night skies are naturally dark and there was no light-pollution in ancient times. So if weather permits, you can easily see a lot of stars. No need to tell about the Sun and the Moon. Ancient people had good reasons to study the night skies. In many cultures and civilizations, stars (and also the...
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noise, autocorrelation, gaussian, proof Now we know $$f_{N(t)}(\eta)=\frac{1}{\sqrt{2 \pi \sigma^2}}\exp\left(\frac{-(\eta-\mu)^2}{2 \sigma^2}\right)$$ then, how can we find $f_{N(t)N(t+\tau)}(x,y)$ ? As @MattL points out in a comment, a Gaussian pdf does not imply whiteness. Indeed, it can be argued that the assum...
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java, array public static int reserveSeat(int[][] plane) {//asks user for input //reserves a seat based on user input, returns updated value to array Scanner input = new Scanner(System.in); int rowNum;//Row number of seat chosen int colNum = 4;//Column number of seat chosen char...
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operators, fourier-transform, dirac-delta-distributions, phase-space, wigner-transform but I don't what to do with this; I don't even undertand what is the exact meaning of this. This can be simplified: $$-\dfrac{1}{2}\int\Delta_{x-\frac{y}{2}} \ \delta(y) \exp \left(-2\pi i yp/\hbar \right) dy,$$ but I don't know how...
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A mathematical idea is useful for what you can use it for. A "conceptual" explanation may be attractive, but is relatively worthless for actually using integration by parts to do anything. Instead, you should think of integration by parts in terms of how it lets you manipulate integrals; e.g. when you have $x$ or $\ln...
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c++ inline void gvector::set_coords(const coordinates & c) { size_t csz = c.size(); if (crds.size() != csz) crds.resize(csz); crds = c; } inline void gvector::set_coords(const coordinates & start, const coordinates & end) { size_t ssz = start.size(), esz = end.size(); if (ssz == esz &...
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stft, time-frequency, cwt, synchrosqueezing Verifying derivation $S_g f(u, \xi)$ expression can be verified with an example, comparing against Wolfram's output (set normalization=1, oscillatory factor=-1): $$ \text{Let}\ f(t) = e^{jt},\ g(t) = e^{-\pi t^2}, \text{ and thus}\ \hat{g}(\xi) = e^{-\xi^2 / (4\pi)}.\ \text{...
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fluid-dynamics, transport-phenomena $$ However, if one just calculates the rate of change of mass from the total mass of $j$ in the rod by taking: $$ M_j = \rho_j L $$ and differentiating with respect to time, we get: $$ \frac{d M_j}{dt} = L \frac{d \rho_j}{d t} \quad \quad (5) $$ My question is the following: Why a...
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quantum-mechanics, waves, wavefunction, schroedinger-equation, integration $ \langle nlm|\,\partial^2_z\,| n'l'm'\rangle $ insert the identity operator with respect to the position basis $$ 1 = \int d\textbf{r} |\textbf{r}\rangle\otimes\langle \textbf{r}| $$ to have $$ \int d\textbf{r}\, \langle nlm\, |\,\partial^2_z...
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homework-and-exercises, newtonian-mechanics Title: Can forces in N be thought of as a length? A solid uniform 45.0 kg ball of diameter 32.0 cm is supported against a vertical friction-less wall using a thin 30 cm wire of negligible mass. (a)make a free body diagram for the ball and use it to find the tension in the w...
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newtonian-mechanics, friction The friction force $F_1$ does not cancel out $F_{applied}$ for a net force of zero on the upper block. Assuming the maximum possible static friction force is not exceeded, both blocks will stick together and have the same acceleration with respect to the ground. As my undergraduate mechan...
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ros-kinetic int main (int argc, char** argv) { // Announce this program to the ROS master as a "node" called "ros_global_planners_experiment_node" ros::init(argc, argv,"ros_global_planners_experiment_node"); //ros::NodeHandle n("~"); tf::TransformListener tf_(ros::Duration(10)); costmap_2d::Costmap2DROS ...
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javascript, jquery I am not 100% confident about deriveUnselectedVersion but it sure sounds better (and is more meaningful) than changeName. Anyway, this is how I would write the click handler: $(".tt").click(function(event) { var image = event.target, title = image.getAttribute("ti...
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the-moon Title: Satellite in orbit in front of and behind the Moon Would it be possible to put a satellite into the same orbit as the Moon, but far enough ahead or behind the Moon to remain in place? Has this ever been done in practice? Yes. Trojan orbits (60° before or after the Moon) are even stable in most cases. T...
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python, python-3.x, chess, unicode if user == 'B': return [rear, front] else: # since white moves first return [front, rear] board = [squad for squad in get_army('B')] for _ in range(4): board.append(['0']*8) board += get_army('W') return np.array(board) de...
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c, beginner, circular-list //pops an entry out of the ring buffer //the client has to ensure that RBUF_AVAILABLE > 0 #define RBUF_POP(NAME, VAR) \ do { \ VAR = (NAME).buf[RBUF_RHEAD(NAME)]; ...
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noise, gaussian, integration Title: Double Integrating Gaussian Noise My question has to do with integrating gaussian noise. Let us assume we have samples of discrete gaussian white noise with mean $\mu = 0$ and variance $\sigma_{th}^2$. These noise samples are passed through the system shown in the Figure (a cascade...
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fft, finite-impulse-response, phase, hilbert-transform The $I$ and $Q$ components of the analytic signal can be aligned by throwing away the first $(N-1)/2$ samples of $Q$, where $N$ is the number of coefficients (including the zeros), assuming that $N$ is odd, which is the case if the coefficients $(1)$ are truncated...
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homework-and-exercises, newtonian-mechanics, spring The thought process was ∆K = $K_f - K_i$ = W --> $\frac{mv^2}{2}-\frac{mv_0^2}{2}$ = W $W$ = $W_s - W_g$ where $W_s$ is a spring and $w_g$ is gravity The final velocity is also zero so $K_f$ = 0. Which gives us $\frac{mv_0^2}{2} = -k∆y^2 - mgh_m$ (solve for $h_m$) $...
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ros, c++, ros-melodic, subscribe ROS Environment: ROS_ETC_DIR=/opt/ros/melodic/etc/ros ROS_ROOT=/opt/ros/melodic/share/ros ROS_MASTER_URI=http://localhost:11311 ROS_VERSION=1 ROS_PYTHON_VERSION=2 ROS_PACKAGE_PATH=/home/alan/sub/src:/opt/ros/melodic/share ROSLISP_PACKAGE_DIRECTORIES=/home/alan/sub/devel/share/common-li...
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python, performance, array, excel, random ['1023', 'Test18', 'TestCat2', 'TestSubCat3'], ['2001', 'Test19', 'TestCat3', 'TesSubtCat1'], ['2002', 'Test20', 'TestCat3', 'TesSubtCat1'], ['2003', 'Test21', 'TestCat3', 'TesSubtCat1'], ['2011', 'Test22', 'TestCat3', 'TestSubCat2'], ['2012', 'Test23', 'TestCat3', 'TestSubCat...
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error-correction, measurement Title: Shor 9 qubit code — how are the observables measured and eigenvalues obtained during syndrome measurement? Say we have the Shor 9 qubit code $$|\psi_L\rangle=\tfrac{1}{\sqrt{2^3}}((|000\rangle+|111\rangle)^{\otimes3}+(|000\rangle-|111\rangle)^{\otimes3}),$$ and we have a bit flip ...
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electrolysis A diagram of the electrolysis of water with dissolved salt/acid ions is shown below: Image source Further information can be found in the article A Review of Water Electrolysis (Zoulias et al).
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php, mysql, pdo $login_attempts =++ $row[ 'login_attempts' ]; $mysql_update = $pdo_mysql->prepare( "UPDATE users SET login_attempts = :login_attempts WHERE userid = :userid" ); $mysql_update->bindParam( ':login_attempts', $login_attempts ); ...
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finite-impulse-response, linear-phase, decomposition, allpass, minimum-phase I posted a related question on SE. Mathematics for this challenge of roots to polynomial. A best answer will provide a feasible path for linear phase decomposition when dealing with a very large number of coefficients. We are given the coeffi...
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audio, pitch I believe I need an extra step to the process but I can't quite find what would that be. Might be that I have to go a different route though.. (if this is the case just mention the method, no need to elaborate on it and lose your time, I will read about it). Hotpaw2's reply addressed the note boundary det...
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between the lowest and highest points of a trapezoid given two parallel is! And you can solve using the same Inputs P = 25 cm Now just... Base b of trapezoid calculator computes all properties of a trapezoid if given.... Between the diagonals and bases or midline 4 angles, and width.! Can solve using the same measure m...
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c++, game gotoxy(15,22); cout<<"*Q to pause."; gotoxy(15,23); cout<<"*ENTER to exit into menu."; gotoxy(27,y); cout<<"->"; } } }
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quantum-field-theory Title: Terms allowed in Lagrangian density I never fully understood why the Lagrangian density (let's say for a scalar field) was restricted to have only first order derivatives of the field in time and space in QFT. One reason I can think of is to ensure locality. But that doesn't restrict one fr...
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c# AudioDevices.Items.Add("Wasapi Loopback"); ListenAudioAgain = false; AudioDevice = AudioDevices.SelectedItem.ToString(); comboBox1.SelectedItem = VoiceChatClass.Enumerator.GetDefaultAudioEndpoint(DataFlow.Render, Role.Multimedia).ToString(); }
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c++, c++11, tree, template, pointers node_p root; int tree_size; /*----------------------------------------------------------------------/ / Private functions / /*---------------------------------------------------------------------*/ bool _search(const BST &item, ...
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ros, ros-kinetic, avoid-obstacle As you can see from the image below, all trajectories are green, and the obstacle is in purple color. https://ibb.co/PZ3T8jB Do you know how to place an obstacle in RViz directly. Once I clicked the "Publish Point" button, RViz crashed unexpectedly. Comment by cwhong on 2021-01-11: I r...
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particle-physics, symmetry, higgs About the Higgs field and Goldstone bosons: The general Higgs doublet would look like this: $$ H(x) \rightarrow \begin{pmatrix} h_1 +ih_2 \\ h_3 + i h_4 \end{pmatrix}$$ with the goldstone bosons $h_2$ and $h_4$ which would not acquire any mass in the kinetic Lagrangian part. In the un...
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pl.programming-languages, context-free Title: For a language to be programmable, is it mandatory that it be based on a context free grammar Practically, for a language that can eventually be compiled/transformed into system level instructions, is it necessary that it be a context free grammar? ex: Are all programming/...
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quantum-field-theory, s-matrix-theory, unitarity, non-linear-systems Maldacena discovered the AdS/CFT correspondence; A problem of gravity (in RG) was equivalent to a quantum mechanical problem. And information is never lost in QM. If you know the state of a system a t, the linearity of the evolution allows you to go ...
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python, raspberry-pi Title: Sort-of Alexa clone using Python on a Raspberry Pi It's still a working process. There are still things I would like to add, and if you have any critiques or ideas they would be greatly appreciated! I would like to know if my code is readable. GitHub link: import os import webbrowser import...
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c#, linq var grouped = from f in fileNames where f.Contains(sProcScript) let m = new {FileName = f, Group = new string(f.TakeWhile(c=>!Char.IsDigit(c)).ToArray()), Version = Int32.Parse(new string(f.Where(c=>Char.IsDigit...
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java, android mjumpRunnable = new Runnable() { @Override public void run() { jump(); } }; mHandler = new Handler(); mHandler.postDelayed(mjumpRunnable , SPLASH_TIME_OUT); } @Override public boolean onTouchEvent(MotionEvent event...
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general-relativity, metric-tensor, approximations $$ ds^{2} = -\Big(1 + \frac{2\Phi(r)}{c^{2}}\Big)(c\, dt)^{2} + \Big(1 - \frac{2\Phi(r)}{c^{2}}\Big) (dx^{2} + dy^{2} + dz^{2}). $$ By changing to spherical coordinates, we get \begin{align}\tag{2} ds^{2} = -\Big(1 + \frac{2\Phi(r)}{c^{2}}\Big)(c\, dt)^{2} + \Big(1 - \...
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independence, conditional probability, and simulations. Show your work when completing a probability question. Learn how your comment data is processed. Here is the initial question, from August: On a multiple choice question, only one answer is correct. Here is the reasoning: Because if you know, your answer will not ...
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roscpp Title: roscpp - Convert uint8[] into a known struct Hi folks, I've got a universal message type for all kinds of data that comes in through a UDP socket. This message just contains a fixed size array of uint8[16]. What I would like to do is to convert the uint8 array into a pre-defined struct. I know what the ...
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image-recognition, image-processing def compute_distance(points, points_reference): """Compute distances between keypoints Parameters ---------- points : points for which the distances should be conputed points_reference : TYPE points on the other side of the image, used to check i...
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javascript, video froogaloop.addEvent('playProgress', function(data){ durationScrubberPassed.style.width = (data.percent * 100) + '%'; }); var volumeScrubber, volumeScrubberPassed, volumeMouseEvent; function volumeScrubHandler(event){ if(!volumeMouseEvent || !volumeScrubber) return;...
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c, interpreter, brainfuck As a bonus, in C the macro NULL typically expands to something like (void*)0; if you have warnings for potentially unsafe type conversions enabled (-Wconversion for GCC), the compiler will notify you, if you try to assign 0 to a pointer or NULL to an integer, which helps to find potential err...
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javascript, algorithm and finding the minimum and maximum (and the sum) is possible in a single pass, which would be \$O(n)\$. Hard-coding the number 4 makes the solution very rigid, applicable to only this specific problem. In your implementation you could use the length of the array instead in a way to make that num...
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python, file-system BUG: Your code doesnt' respect the max_depth variable – You don't have anything bailing out if the depth is too high... Feature: No marking of empty directories – If reducing max_depth or having empty directories there is no marking to indicate that the current entry is actually a directory.
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python, pandas # this field should only be applied for df_F op['Fi02_flag'] = op.groupby('subject_id')['value'].transform(Fi02_con).map({True:'VAC',False:''}) I request your inputs in making this more elegant and efficient. Though suggestions w.r.t to logic are welcome, I am mostly looking for ways to optimize the co...
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genetics What is important is whether or not the mutation is passed on to the progeny. Don’t we have a life too? Why isn’t it important? Consider a mutation occurring in a single E. coli cell in a population of millions of E. coli, or a single muscle cell in a human muscle. Even if there is a mutation in the strand t...
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ecology, photosynthesis, respiration, forestry The intergovernmental panel on climate change summarizes some of the data on carbon flux here. For the amazon similar tropical rain forests, it says: Measurements in pristine, seasonal tropical rain forests in Amazonia indicate NEP of approximately 1.0 t C ha-1 yr-1 (Gra...
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coefficient is used to measure the correlation between two securities. Pearson coefficient is a type of correlation coefficient that represents the relationship between two variables that are measured on the same interval. c) the direction; a cause. It’s a way for statisticians to assign a value to a pattern or trend t...
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distributed-systems The way server 1 will learn the term is via AppendEntries and RequestVote RPCs. When server 1 starts, it will initialize its term to 1. If it receives a heartbeat from node 5 before it dies, the heartbeat (an AppendEntries RPC) will contain server 5's term: 3. Given that information, when server 5 ...
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Lets calculate it for $n$ consecutive tosses the expected number of tosses needed. Lets denote $E_n$ for $n$ consecutive heads. Now if we get one more head after $E_{n-1}$, then we have $n$ consecutive heads or if it is a tail then again we have to repeat the procedure. So for the two scenarios: 1. $E_{n-1}+1$ 2. $E...
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writing and can write there are total four relation between roots and coefficients of biquadratic equation. If alpha, beta and gama are the zeros of the polynomial ax3 + bx2 + cx + d, find the value of 1 / alpha 2 + 1 / beta 2 + 1 / gama2 Asked by deepa1973 | 14th Jun, 2015, 09:49: AM Expert Answer: Cloudflare Ray ID: ...
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ros, catkin, bloom-release, metapackage, debian Title: Generating metapackage artifacts with catkin_tools? My use case is non-standard. I can't use the public Bloom infrastructure because I have non-public packages, and in the past, I created non-Bloom build scripts that helped me generate Debian packages. I can't e...
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Any or all improvements and corrections are welcome. I am not sure how your code works in detail, but here is an example to compare with. Edit: I think I now know where your error is. The improved result is calculated from the previous (W) and current (Z) Simpson approximation. But in your second program W is replace...
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## Chernoff Bound Consider the sum of a sequence of independent random variables. One may expect its distribution is concentrated around its expected value. This is characterized by the Chernoff bound, which gives exponentially decreasing bounds on tail distributions of the sum. Let $$X_i$$, $$i=1,\ldots, n$$, be ind...
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c#, game, unity3d for(int currentX = x - explosionRadius; currentX <= x + explosionRadius; currentX++) { for(int currentY = y - explosionRadius; currentY <= y + explosionRadius; currentY++) { for(int currentZ = z - explosionRadius; currentZ <= z + explosi...
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gazebo-tutorial Originally posted by alienmon on Gazebo Answers with karma: 28 on 2017-08-18 Post score: 0 It's used by gazebo/ignition math library for generating random numbers. For example, the rubble plugin uses the random number generator for creating rubbles, and camera noise model uses it to generate random ga...
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electromagnetism, spacetime, fourier-transform, dirac-delta-distributions Title: Fourier transform of $\delta^3(\vec{x} - \vec{v} t) $ In "Classical Eletrodynamics" of Jackson, chapter 13.3, it is said that using the Fourier Transform: \begin{equation} F(\vec{x}, t)=\frac{1}{(2\pi)^2} \int d^3 k \int d\omega \hspac...
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java, stack, iteration, quick-sort private static int partition(int[] array, int startIndex, int endIndex) { int pivot = array[startIndex]; int i = startIndex - 1; for (int j = startIndex; j < endIndex; ++j) { if (array[j] <= pivot) { ++i; if (i != ...
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evolution, theoretical-biology, phylogenetics Deciding which is ‘‘ more correct ’’ depends on the question asked. For instance, if one wishes to count the number of threonine- to-methionine replacements over the entire tree, then the joint reconstruction should be used to obtain this number (2, in our ...
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mathematical-physics, newtonian-gravity, computational-physics, three-body-problem So, this brings me to my actual question. For the numerical simulations, however well you do them, in the end you will only have a finite-precision approximation to a solution of a differential equation that is propagated for a finite t...
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The Poisson-Gamma Mixture One important application of the negative binomial distribution is that it is a mixture of a family of Poisson distributions with Gamma mixing weights. Thus the negative binomial distribution can be viewed as a generalization of the Poisson distribution. The negative binomial distribution can ...
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quantum-mechanics, measurement-problem, commutator, observables Proof: The observables' eigenvalues are not relevant to this question, so we can think of the discrete observable $A$ as a set $$ A=\{A_1,A_2,...\} \tag{1} $$ of mutually commuting projection operators $A_j$ satisfying $$ \sum_j A_j=1 \hskip2cm A_j...
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c#, linq, reflection, linq-expressions case "Last": var lastResult = viewSet.LastOrDefault(filter); if (lastResult == null) { throw new InvalidOperationException("Sequence contains no element matching specified criteria."); ...
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c#, unity3d, factory-method Prefab is a template so call it GameObjectTemplate. Naming might look like a minor issue but it's one of the most important things. Using the right names makes the code self-documenting and you don't have write lenghty explanations. It also influences how you think about the class and lets ...
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java, statistics * @return double */ public static double mean(List<Number> data) { double sum = 0; for(Number e: data){ sum += e.doubleValue(); } return sum / data.size(); }
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periodic-table Title: What do the numerals on the top right corner of the cells in the periodic table represent? On the table published here (link) each cell has one to five numerals arranged vertically in its top right corner. The sum of those numbers is always the relative atomic mass of the element. I suspect that,...
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java, performance, edit-distance showUserDif(clItems); return true; } public boolean sameItemDesc(String cl, String mark) { // We did this to each read in CLItem so do it to each real item desc too mark = mark.replace(" -", "").trim(); String msg = "Are these the same\n" + cl + "\n" + mark; int le...
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Skip to main content # 3.4: Properties of the Determinant Learning Objectives • Having the choice to compute the determinant of a matrix using cofactor expansion along any row or column is most useful when there are lots of what in a row or column? • Which elementary row operation does not change the determinant of...
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c++, design-patterns int main() { Person *sam = new Person("Sam"), *mark = new Person("Mark"), *tom = new Person("Tom"); sam->addToPeopleKnown(mark, Friend, 85); mark->addToPeopleKnown(sam, Friend, 78); for (int i = 0; i < 100; ++i) sam->addToPeopleSeen(tom, SawRandomly); std::vector<Pers...
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fluid-dynamics, gravity, dark-matter Title: Why doesn't a dark matter halo just collapse to a disc? According to this and this answer, and as far as I understand these answers, dark matter halos cannot collapse to a black hole because, due to uncoupling from the EM field, they are unable to radiate their kinetic energ...
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c#, asp.net, entity-framework, asp.net-mvc-4, poco } I have a multipart key that creates the relationship between a player and a team: /// <summary> /// This is a multipart key class that defines a player as part of a team. /// Mind the naming convension, from smaller entity to a bigger entity; Player > Team. /// </s...
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