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experimental-realization, architecture Title: What is the argument that practical quantum computers cannot be built? An answer to another question mentions that There are arguments that suggests that such machines ["quantum Turing machines"] cannot even be built... I'm not sure I fully understand the problem, so...
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c++, c++20, stl That is literally a 100 characters wide… and for what? For this: void reset(bool active = true) (the const is also superfluous; the function is literally two lines; pretty sure there is no chance of accidentally resetting active and not noticing). 63% of the line is useless, completely devoid of meanin...
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optimization, ai.artificial-intel, board-games Pavel Pudlák, Russell Impagliazzo: A lower bound for DLL algorithms for k-SAT (preliminary version). SODA 2000: 128-136
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Then the element $$y = (r_{0}, r_{1}, \ldots, r_{m}, 0, 0, \ldots) \in M$$ is the required element. • Indeed! Thank you. Apr 9, 2020 at 4:07 • You said countable union of countable set is countable,we see that M is countable.According to me, $M=\mathbb{Q} *\mathbb{Q} * ...* \mathbb{Q} *0 *...* 0$ so being finite produ...
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ros, eclipse, rosjava, message Originally posted by Daniel Stonier with karma: 3170 on 2014-04-09 This answer was ACCEPTED on the original site Post score: 3 Original comments Comment by Mehdi. on 2014-04-09: Thanks for the answer. At the end I found a much more elegant way to do what I wanted. Rosbridge was enough f...
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cosmology, space-expansion, causality Title: Does space expansion imply light will *never* reach objects currently distant enough? Let's say two objects are at about twice the Hubble Distance from each other. One of them emits light towards the other. When light emitted from one reaches the Hubble Distance from its or...
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java, strings privateEmail.substring(0, 2) needs to change to privateEmail.substring(0, 3) in the else, since end index is exclusive and we want to include 3 characters, not 2. Method assumes that privateEmail contains a "@", and does not check if atSignIndex results in -1, resulting in a StringIndexOutOfBoundsExcept...
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newtonian-mechanics, rotational-dynamics, friction Title: Frictional torque on a unifrom rotating Square plate So I wanted to ask if we have a square plate rotating with an angular velocity of w initially about an axis perp to the table through its center on the table such that normal and friction act on the surface u...
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algorithms, data-structures, computational-geometry, topology But if I try it with a set where lots of points are coplanar I get something horrible: The general shape of the CH is correct, but the topology I am getting out is just awful. How should I handle coplanarity? If You find a co-planar triangle candidate, it ...
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I want to find the $$n$$-th derivatives of the function $$f(x)=\frac{1}{(1-x^2)^b}$$ with respect to x. Here $$b$$ is a positive constant. By using the chain rule, I can get the first derivative is $$f'(x)=(-b)(1-x^2)^{-b-1}(-2x).$$ By using the chain rule and product rule, I can get the second derivative which is $$f'...
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quantum-mechanics, operators, momentum $$ is a definition of $|p\rangle$, so $e^{ia\hat p} |p\rangle = e^{ia p} |p\rangle$. You then have $$ \langle x|e^{ia\hat p} |\psi\rangle = \langle x|e^{ia\hat p}\left ( \int dp |p\rangle \langle p|\right ) |\psi\rangle = \langle x| \left ( \int\!\! dp~ e^{ia p}|p\rangle \lang...
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machine-learning, explainable-ai, interpretation, shap $$f(x)=1,\ E=1, \ \phi_1=1.01, \ \phi_2=-1.$$ Now the scaling factor is $1+1/.01=101,$ so that $\hat{\phi}_1=102.01$ and $\hat{\phi}_2=-101$. This isn't locally too bad, because it still indicates the relative importance of the two variables in making this predic...
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$T \left(\begin{array}{ccc}2\\1\\1\end{array}\right) = \Bigg[ \left(\begin{array}{ccc}1\\0\\0\end{array}\right) , \left(\begin{array}{ccc}0\\1\\0\end{array}\right) , \left(\begin{array}{ccc}0\\0\\1\end{array}\right) \Bigg] \left(\begin{array}{ccc}\alpha_{3}\\\beta_{3}\\\ga mma_{3}\end{array}\right)$ 8. Originally Post...
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quantum-gate, entanglement, mathematics $^1$ This can be proved rigorously by extending $\{|a\rangle\otimes|b\rangle\}$ to a basis and writing the coefficients of $|a\rangle\otimes|b\rangle + |x\rangle\otimes|y\rangle$ in that basis as a $d\times d$ matrix. Since $|x\rangle$ is not a scalar multiple of $|a\rangle$ and...
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organic-chemistry, reaction-mechanism, carbonyl-compounds, carbocation Title: Ring expansion of two fused rings to a larger ring I saw the following reaction mechanism in paper Tetrahedron Lett. 1976, 17 (33), 2869–2872.: I'm not able to understand the following parts: How did the conversion of 27 to 29 take place? ...
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planet, orbital-mechanics, lagrange-point Title: Determining the area of Lagrange Points I have looked into Lagrange points a decent amount and I see many images that show the L4 and L5 locations as wide sweeping areas. Jupiter's Trojan asteroids are a good example of this. As well, L3 sometimes is shown inset of the ...
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The following self-contained post clarifies the proof of theorem 1, chapter 11, p. 113-114, of the book “A book of abstract algebra” by Charles C. Pinter. In order to show that any two cyclic groups of finite order $n$ are isomorphic to each other, it suffices to show that every cyclic group $\langle a\rangle=\left\{a...
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object-oriented, ruby, unit-testing As you can see, I'm overriding the Elevator class (more important the get_input method which grabs user input from the console) multiple times according to what I need to test. It all works perfectly fine but I was wondering if there was a tidier way of doing things? I kind of wish ...
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thermodynamics, universe, probability Smaller fluctuations are exponentially more likely than larger fluctuations. That means that occasionally field fluctuations will not just randomly produce particle-antiparticle pairs, but atoms, molecules, and entire organisms that briefly persist. This includes randomly generate...
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##### Active member the answer is in terms of x when expanding the numerator. #### DreamWeaver ##### Well-known member OK, so here was my solution... $$\displaystyle \frac{d}{dy}\frac{1}{(1-y)}=-\frac{1}{(1-y)^2}$$ $$\displaystyle \Rightarrow$$ $$\displaystyle \frac{y^3}{(1-y)}-3\int\frac{y^2}{(1-y)} \,dy=$$ $$\d...
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black-holes, astrophysics, gravitational-waves, neutron-stars Gravitational-wave observations of a single binary Inspiral phase The main feature that distinguish binary black holes (BBHs), from binaries with matter (binary neutron stars (BNSs) and neutron-star--black-holes (NSBHs)) is the tidal deformability parameter...
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localization, navigation, robot-localization false, false, false] # ddX , ddY , ddZ imu0_relative: false imu0_differential: false imu0_queue_size: 10 imu0_remove_gravitational_acceleration: true process_noise_covariance: [0.03, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,...
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cryptography, go } else if expectValueString >= 2 { fmt.Printf("Something went wrong, too many keys entered.\bBye!\n") return } } // On error, output some useful information. if !(encrypt == true || decrypt == true) || key == false || keyString == false || value == false ||...
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I think induction is your best bet here, and it doesn't even really require any $I_n$ notation. We can simply evaluate the integral on it's own. Starting with your first step, which you did correctly, we begin to integrate. $$\int_{t_1=0}^T dt_1 \int_{t_2 = t_1}^T dt_2 \cdots \int_{t_n = t_{n-1}}^T dt_n = \int_{t_1=0}^...
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javascript, object-oriented, programming-challenge, design-patterns let res = getCreditTransferInfo(amount, parseCreditInfo(AM, message)); for (let a of res) { AM.transfer(a.credit, AM.get(sender)[0], AM.get(a.account)[0]); } sender = 'LF'; message = 'GR'; amount = 10; res = getCreditTransferInfo(a...
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inorganic-chemistry, synthesis, metal, mercury Regarding the reduction of mercury(II), there are two pathways: $\ce{Hg^0}$ may be obtained from mercury(II) nitrate using a dry or a wet method. Speaking of a dry method, the most straightforward way to obtain metallic mercury from nitrate is to heat $\ce{Hg(NO3)}$ in a ...
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deep-learning, deep-neural-networks, data-preprocessing, geometric-deep-learning, binary-classification Title: Should binary feature be in one or two columns in deep neural networks? Let's assume I have a simple feedforward neural network whose input contains binary 0/1 features and output is also binary two classes. ...
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There are $3$ ways to order the first, sixth, and ninth results, while there are 6 ways to order the other results; therefore, there are a total of 45 ways to roll the dice s.t. 2 of the dice sum to the other, so our answer is $\frac{45}{216}=\boxed{\textbf{(D)} \frac{5}{24}}$
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February 8. Claremont & Utah Joint Applied Math Seminar. Speaker: Aaron Barrett, Department of Mathematics, University of Utah Title: Complex Fluids in the Immersed Boundary Method: From Viscoelasticity to Blood Clots Abstract: The immersed boundary method was first developed in the 1970s to model the motion of heart v...
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gazebo Originally posted by nkoenig with karma: 7676 on 2016-05-10 This answer was ACCEPTED on the original site Post score: 1 Original comments Comment by winston on 2016-05-10: Thank you. I tried it before but this is not perfect because linear damping always works even when the ball is in the air. I want the ball ...
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python, pandas, data-analysis, project-planning Title: How to decide your first self-project for Data Science/Analysis Suppose a complete beginner(in the field of data analysis/data science), which is my case indeed, decided to make a project for his/her resume. These are the following skills he have learnt: Python(p...
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quantum-measurements The identities $\sum_\lambda\hat\Pi_\lambda=1$ and $\text{Tr}(\hat\Pi_\lambda X)=\sum_n\langle\lambda_n|X|\lambda_n\rangle$ are also useful.
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closed-timelike-curve Title: What is a closed timelike curve? I was wondering if anyone could explain to me what a closed timelike curve is? From Wikipedia: "In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime that is "closed", returni...
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c#, inheritance protected override string GetExtensionPattern(string folderName) { return string.Format("{0}.htm*", folderName); } } public class CssTemplateFileService : BaseTemplateFileService { public CssTemplateFileService(IConfigurationManager configurationManager, IFileSystem fileSys...
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newtonian-mechanics, angular-momentum, rotational-dynamics, angular-velocity $$\boldsymbol {\tau } = \mathbf r \times \mathbf F =0$$ Clearly since $\mathbf r \neq 0$ then this means that $\mathbf F$ at all instants points towards the centre (i.e., to say that line of action of the force passes through the centre). N...
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solid-state-physics, group-theory, crystals Title: Example of a space group which does not contain the point group as a subgroup In my current understanding, a space group $G_\infty$ is a combination of a crystallographic point group $G_0$ and translations in the following way: $(R_1,\vec{t_1})(R_2,\vec{t_2}):=(R_1R_2...
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vba, excel Formulas written in VBA You're using a lot of With blocks instead of using variables. Again, writing formulas and not using variables seems counter-intuitive to me. That being said, why are you using formulas if you're using VBA to update the target sheet? Either access the data and write it or just leave t...
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calibration, stereo Title: STOC Onboard Processing My colleague and I are attempting to use a Videre Design STOC Stereovision 30cm camera, but we're having some problems with the onboard processing. When using offboard processing we get good data, but the data we're getting back is worthless when we use the camera's ...
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rotational-dynamics, rigid-body-dynamics, moment-of-inertia Title: Inertia tensor for spinning top I was trying to find the equations of motion of a symmetric, solid and fixed spinning top employing Euler's angles and lagrangian mechanics. As for Euler angles I used the following convention (the one in Wolfram's MathW...
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classical-mechanics, hamiltonian-formalism, differential-equations, integrable-systems, integrals-of-motion Title: Complete vs General Integral of first order PDE The following is an excerpt from Landau's Course on Theoretical Physics Vol.1 Mechanics: ... we should recall the fact that every first-order partial diffe...
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rospack Title: Refer to current package's root name What's the best way to refer to the name of the package's root folder? For example, if I had a package named X and I wanted to read files from, e.g., the bag subfolder (i.e. X/bag) from either inside a script under scripts (i.e. X/scripts/read_file_from_bag_subfolde...
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general-relativity, gravity, black-holes, event-horizon, causality Title: Is it theoretically possible to escape a classical black hole with force? A stone being thrown from the surface must have a velocity of $11.2$ km/sec if it wants to escape Earth's gravity. However, a stone that has a constant force being applied...
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javascript, beginner, ruby-on-rails, react.js I notice you use React, so probably you're using Babel (if not, you should). This gives you access to a lot of shortcuts seen above. First, in ES6, arrays now have a find method so you can drop using lodash/underscore for that. Then there's the arrow functions to make call...
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ros, nodes, roslauch, packages ROS_MASTER_URI=http://localhost:11311 ERROR: cannot launch node of type [motoman_driver/robot_state]: Cannot locate node of type [robot_state] in package [motoman_driver]. Make sure file exists in package path and permission is set to executable (chmod +x) ERROR: cannot launch node of t...
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51. Trisaba thanks for the help 52. dan815 |dw:1441062793507:dw| 53. dan815 this is the full break down 54. dan815 they will probably ask u a final question like the chance it will rain, when there is a prediction of rain 55. Trisaba 60% 56. Trisaba bayes' theorem 57. Trisaba thanks for helping dan 58. da...
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the algebra involved is essentially the same in either case; the details may easily be found elsewhere. Since $e^{xI} = e^xI, \tag{10}$ we only need compute $e^{yP} = \displaystyle \sum_0^\infty \dfrac{(yP)^n}{n!} = \sum_0^\infty \dfrac{y^nP^n}{n!} = \sum_0^\infty \dfrac{y^{2n}}{(2n)!}P^{2n} + \sum_0^\infty \dfrac{...
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Running this simulation, mean(count) returns $6.76004$ and var(count) returns $3.396853$. • Thank you very much for your detailed response! For the expected value, why is the expectation 0.52 for the ith pair? It seems to me that as you deal more cards the probabilities change, so 0.52 would only be true for the first...
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# ONEORTWO - Editorial Author: utkarsh_25dec Testers: tabr, iceknight1093 Editorialist: iceknight1093 TBD None # PROBLEM: There are two piles of stones: the first with X, the second with Y. Chef and Chefina alternate moves, with Chef moving first. • Chef can either remove one stone from both piles or remove two s...
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algorithm, strings, ruby, rspec Title: Checking whether two strings are isomorphic I was trying to solve a problem to determine if 2 strings are isomorphic. They are isomorphic when each character in string one can be replaced with another character in string 2. Two different characters may not map to the same value, ...
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php, mysql, authentication Title: PHP Login and registering system I am currently learning PHP and decided to write a login and registration system to learn about error handling, mysql, password hashing and basic queries. I know there's standard authentication systems with frameworks such as Laravel, but I wanted to w...
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optimization, error-handling, email, batch, subroutine IF EXIST WSCPLog.txt DEL WSCPLog.txt SET LOG=WSCPLog.txt START /WAIT WinSCP.exe /console /script=WSCP-GetC.txt /log=%log% IF ERRORLEVEL 1 GOTO erroryes IF NOT EXIST "\\server\path\Test_File.ext" GOTO nofilemail GOTO okmail :erroryes %comspec% /c exit %0% FINDSTR...
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Re: The letters D, G, I, I , and T can be used to form 5-letter strings as [#permalink] ### Show Tags 16 Apr 2017, 07:45 1 KUDOS Top Contributor 1 This post was BOOKMARKED Bunuel wrote: The letters D, G, I, I , and T can be used to form 5-letter strings as DIGIT or DGIIT. Using these letters, how many 5-letter string...
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java, algorithm, rust, dynamic-programming I think I'm unwrap()-ing too much. Although I'm not aiming for code golf here, it still feels subconsciously that I could have avoided so many unwrap()s. I feel a bit bad because I kind of word to word translated my solution from Java... perhaps there's a more Rust-idiomatic...
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energy, mass, mass-energy, earth, geophysics Title: How much of Earth's mass is created by the energy of the core? I've read that higher energy means higher mass, and in atomic systems, the kinetic energy and potential energy actually contributes more mass than the actual particles themselves (or so I've read). So, ho...
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turing-machines, undecidability, computation-models Note that, in general, there's no way to predict whether or not a Turing machine will stop: this is the famous undecidability of the halting problem. So, if you had a real-life physical Turing machine (or any other computer program) and it had been running for an hou...
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newtonian-mechanics, forces, rotational-dynamics, reference-frames, torque Of course, when the time constants of all of these spring is short, as it is with the kinds of interactions we are interested in here, this real behavior gets close and closer to a "rigid body" like behavior. Indeed, what we can show is that t...
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python, python-3.x, web-scraping, beautifulsoup Alternatively: using concurrent.futures.ThreadPoolExecutor If you run the rewritten code, you may notice the program takes a couple of seconds to shut down after (reportedly) having downloaded all images. This is because the last thread started doesn't necessarily end la...
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java, beginner, array, game-of-life /** * {@inheritDoc} */ @Override public int getHeight() { return height; } /** * {@inheritDoc} */ @Override public void drawGeneration(final boolean[][] generation) { StdDraw.show(0); StdDraw.clear(); for (...
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c#, design-patterns, stored-procedure private void ExecuteCommandForMultipleRecordSets() { Results = new TResultSetType(); var recordSetIndex = 0; var resultSetTypeProperties = _resultSetType.GetMappedProperties(); using (DbDataReader reader = _command.ExecuteReader(_commandBehavio...
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java } else { log.error("Container has disappeared from database, removing queue item"); emc.beginTx(); tem.merge(q); tem.remove(q); emc.commitTx(); ...
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First recall that $$f(X|X \in [b-\epsilon,b+\epsilon])= \frac{1}{b+\epsilon - (b-\epsilon) } =\frac{1}{2\epsilon}$$ and $$f(X) = f(X|X \in [b-\epsilon,b+\epsilon]) \times Pr(X \in [b-\epsilon,b+\epsilon])+ f(X|X \not\in [b-\epsilon,b+\epsilon]) \times Pr(X \not\in [b-\epsilon,b+\epsilon])$$ but since $f(X|X \not\in [b-...
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c, strings, io // Well formed code need not perform this 1st test if (dest == NULL || size == 0 || stream == NULL) { puts("Pathological case"); } else if (feof(stream)) { puts("End of file"); } else if (ferror(stream)) { puts("Input error"); } else { printf("Line too lon...
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ros2, python, ide The specified module could not be found. The C extension 'C:\dev\ros2_humble\Lib\site-packages\rclpy\_rclpy_pybind11.cp38-win_amd64.pyd' failed to be imported while being present on the system. Please refer to 'https://docs.ros.org/en/{distro}/Guides/Installation-Troubleshooting.html#import-failing-e...
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c++, iterator, sqlite EXPECT_EQ(results.size(), 1u); EXPECT_EQ(results[0]["name"], fields[0].column_value); EXPECT_EQ(results[0]["company"], fields[1].column_value); EXPECT_EQ(results[0]["mobile"], fields[2].column_value); EXPECT_EQ(results[0]["ddi"], fields[3].column_value); EXPECT_EQ(results[0][...
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javascript, jquery Basically, what I do here is checking two if-clauses every time I scroll, but is it more resource-friendly to only check every few milliseconds? If so, how is this done? Or is it a better idea to re-write the if-else structure, e.g. if.. else if... else if... else? I don't know if you mean general p...
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optics, quantum-electrodynamics, reflection, refraction, faq So much for the preparation and now to answer your question. We will proceed in two steps. First we will give classical answer using Fermat's principle and then we will need to address other issues that will arise. Let's illustrate this first on a problem of...
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javascript, programming-challenge, array Title: Function to find the shortest word in an array, where not every element is a string I wrote a solution for a codeCamp exercise: Write a function called findShortestWordAmongMixedElements. Given an array, findShortestWordAmongMixedElements returns the shortest string w...
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geophysics, planetary-science, earth-rotation, earth-observation Title: Time standard for IERS Bulletin A IERS Bulletin A and Bulletin B contains Earth orientation parameters. These include the time difference between UT1 and UTC and pole position. The values for these parameters are listed once per day, keyed by "MJD...
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ros, beginner Original comments Comment by alfa_80 on 2012-02-24: If I run Valgrind by using a launch-prefix, where do I check the output? Comment by DimitriProsser on 2012-02-24: Use launch-prefix="valgrind --log-file=/home/your_user/valgrind.log to log to that file. I would then suggest you open that file in a valgr...
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electromagnetism Title: Does the meter spin backwards with an inductive load during the negative half? Suppose I connect an inductor directly to the mains. Since inductor cannot dissipate any power, does the meter run backwards ? My textbook simply says that the inductor gives back the current to the mains during the ...
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discrete-signals, fourier-transform, sampling, dft, visualization Left works as expected. Right does also - we don't see it as a sum because the modulus is displayed, and $|a + b| \neq |a| + |b|$. And indeed, right shows aliasing and loss of information: the plot on left is irrecoverable from plot on right, just as $(...
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quantum-mechanics, heisenberg-uncertainty-principle Title: What is meant by "strongest inequality here" in this proof of generalized uncertainty principle? In proving a generalized uncertainty principle, Ballentine (page 223 of the first edition) arrives at any expression $$Tr(\rho A_0^2) +\omega Tr(\rho C)+\omega^2Tr...
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ros, pi-tracker, skeleton Title: fail to "roslaunch pi_tracker skeleton.launch" Hi, I'm not able to "roslaunch pi_tracker skeleton.launch" SUMMARY PARAMETERS /use_sim_time /skeleton_tracker/fixed_frame /skeleton_tracker/load_filepath /skeleton_tracker/holonomic /skeleton_tracker/skel_to_joint_map/right_shoulder /ske...
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ros, gazebo, ros-indigo Comment by josephcoombe on 2018-04-11: Spawn it at -x 0 -y 0 -z 6, but leave in that fixed joint between the world and base_link links. Comment by josephcoombe on 2018-04-11: If you have it in a public repo somewhere, I'd be glad to take a look at it in Gazebo myself. Comment by Oh233 on 2018-...
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python, python-3.x, simulation self.selection = None self.index = len(game.players) # non-intuitive, but works as long as players are not removed from game print("Created player", self.index) def select_door(self, force_change: int=False) -> int: """ Allow player to choose any Doo...
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matrix, r, data-visualization ################################## #FORMATTING & PLOTTING PARAMETERS# ################################## # This variable should be set equal to a value near the largest frequency you expect in a single histogram bin for # values of interest. Variable num_colors bins will be generated fro...
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• Topological Spaces: sets with a notion of what is "open" and "closed". • Vector Spaces: sets with operations of "addition" and "(scalar) multiplication". • Topological Vector Spaces: "addition" and "multiplication" are continuous in the topology. • Metric Spaces: sets that come with a way to measure the "distance" be...
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python, unit-testing, functional-programming, regex, validation def test_undelivered_string_parsing(): MONTH = 5 YEAR = 2017 assert parse_undelivered_string('', MONTH, YEAR) == set([]) assert parse_undelivered_string('1', MONTH, YEAR) == set([ date_type(year=YEAR, month=MONTH, day=1) ]) ...
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ros, kinect, openni, audio, array Title: Capturing Kinect Audio Is it possible to access the audio stream from Kinect's microphone array within ROS? I found a brief reference in the deprecated kinect stack but nothing else. A quick Google search indicates that functionality is not available in the OpenNI API at the m...
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ros, kinect, stream, webcam Originally posted by gvdhoorn with karma: 86574 on 2016-12-11 This answer was ACCEPTED on the original site Post score: 0 Original comments Comment by ateator1 on 2016-12-11: I don't know how I didnt find that. You rock, thank you! I'll check that out soon and follow up. Comment by ateator...
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python, python-3.x, asynchronous, http You didn't post any timing figures, so it's not clear if network input or disk output is the bottleneck. But if you want to go wild you might consider tracking current offset and doing an aio write at that offset, to obtain greater queue depth against your local RAID or other sto...
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civil-engineering, bridges We have construction technologies that are extremely durable against longitudal forces (stretching, compressing) - reinforced concrete, steel ropes etc. But add lateral forces, and the design becomes much harder to keep strong; buckling, twisting, and loss of stability become very severe. Wi...
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-27 } and it occurs at =... Interval, then is a detailed, lecture style video on the open interval, so it is at. A piece of a continuous function defined on an open interval University of Warwick determine intervals on a! Quotient in the given interval and evaluate the function must be continuous for the value! Chapter ...
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quantum-mechanics, magnetic-fields, wavefunction, hamiltonian, wilson-loop This is of course false, as it doesn't give the famous quantization of the the Landau energy levels. My question is: what is the mistake I made? You've assumed that $\vec{A}$ can be described by a function $f$ such that $\nabla f=\vec{A}$. You'...
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c#, thread-safety, asp.net-core public async Task<Client> GetClient(int clientId) { var cachedClients = await _cachedClients.Value; if (cachedClients.TryGetValue(clientId, out Client client)) { return client.Clone(); } return null; } public async Task<Cl...
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quantum-field-theory, hilbert-space, many-body, quantum-states, coherent-states &= e^{-|\underline\alpha|^2} \sum_{n=0}^\infty\frac{|\underline\alpha|^{2n}}{n!^2}\langle 0 |b^n (b^\dagger)^n|0\rangle \\ &=e^{-|\underline\alpha|^2} \sum_{n=0}^\infty\frac{|\underline\alpha|^{2n}}{n!} \\ &= 1 \end{align} Edit : The Fock...
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if jrj>1 then the expression a(1 rm) 1 r does not converge and so the geometric series does not converge. With a little bit of work, the formula for the geometric series has led to a series expression for the inverse tangent function! As it turns out, many familiar (and unfamiliar) functions can be written in the form ...
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java Title: Refactoring scoring algorithm I have the following code which I feel that I must refactor, but not sure how to do it. List<AlgoTuningData> feedbackScoreDatas; List<AlgoTuningData> topRatedDatas; int score1 = 0; int score2 = 0; boolean matched1 = false; boolean matched2 = false; for (AlgoTuningData topRated...
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javascript Title: File uploads with image previews and remove link using Array and readAsDataURL I got my code working with vanilla JavaScript, however I'm new to JS, so I don't know if the code is robust or not. Any advice to improve the code is welcome. Note: I just noticed a bug. The code removes the image from the...
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beginner, computational-geometry, lua Title: 3D torus in Lua I'm a total beginoob in Lua. The aim is to display a 3D Torus in dots (see Figure1), or at least compute the positions, privileging clarity over performance. Pseudocode link. Don't hesitate to be picky, I'd like to learn proper Lua idioms. For instance, I wa...
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c++, c++20 constexpr std::size_t size() const noexcept { return rets.size(); }; constexpr iterator begin() noexcept {return rets.begin();} constexpr const_iterator begin() const noexcept { return rets.begin(); } constexpr iterator end() noexcept {return rets.end();} constexpr const_i...
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Completing the square, continuous exponential growth, exponential decay, investment returns, simple versus compound interest, half-life of a radio active element, Newton's law of cooling, carbon dating, geometric series, and more. If a > 0 and 0 < b < 1, exponential decay. Engineers love to use it, but it is not used m...
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thermodynamics Title: Pressure equalising in systems Why does the pressure in two interconnected systems, say two connected glass bulbs, always end up equalised even if the temperatures are maintained different in both of them? The following is based on the assumption that the temperatures of the bulbs are being "main...
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Something to bear in mind here: Questions sometimes use the word "otherwise", as in "Using induction or otherwise, prove ...". The word "otherwise" pretty much always indicates that either there is an alternative method that is much quicker, or that there is an alternative approach that will lead to a huge mess and you...
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wavelet, autocorrelation, gaussian, transform, compression The order 2 orthogonal transform you're using can mathematically be written as $$\begin{bmatrix}Y_0 \\ Y_1\end{bmatrix} = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & 1 \\ 1 & -1\end{bmatrix}\begin{bmatrix}X(n) \\ X(n+1)\end{bmatrix}$$ where $Y_0$ and $Y_1$ are the tr...
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rviz Is anyone else seeing this crash and is there a fix? Originally posted by dcconner on ROS Answers with karma: 476 on 2023-07-28 Post score: 0 The issue was related to the ~/.rviz2/default.rviz file. I just moved the files out the ~/.rviz2 folder and it loaded fine Originally posted by dcconner with karma: 476 ...
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electrostatics, newtonian-gravity My hunch is, after reading this excellent, concise answer, no, there is not. My hunch further is that there's an elegant way to show this mathematically, but I don't know what it would be. note: I'm not looking for a way that lowers the deviations from zero in one perpendicular direct...
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complexity-theory, time-complexity, randomized-algorithms, randomness, probabilistic-algorithms Title: What is the largest "allowed" seed for a PRNG to not give any extra power to a deterministic machine? Suppose a polynomial time machine that has an access to a polynomially long string of bits independent on the inpu...
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java, console, compression BitString bitStringBuilder = new BitString(); inferEncodingMapImpl(bitStringBuilder, root, map); return map; } private void inferEncodingMapImpl(BitString currentCodeWord, HuffmanTreeNode currentTreeNode, ...
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Section11.5Fundamental theorem of algebra Note: half a lecture, optional In this section we study the local behavior of polynomials and the growth of polynomials as $$z$$ goes to infinity. As an application we prove the fundamental theorem of algebra: Any nonconstant polynomial has a complex root. Proof. Without lo...
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