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water, phase, temperature, crystallography Okay, so I have to hypotheses: Hypothesis 1 When the ice cream was defrosted, it became more liquid and as such, the bonds of the chemicals were weakened. This allowed the water that was mixed with the milk to break loose a little. When the ice cream was put back inside the f...
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c, delphi return count; } unsigned int str2int (char *s) { int base = 10; if (s[0] == '0' && s[1] == 'x') { base = 16; s += 2; } return strtoul (s, NULL, base); } MEMBLOCK* ui_new_scan(void) { MEMBLOCK *scan = NULL; DWORD pid; int data_size; unsigned int start_val; SEARCH_CO...
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forces, pressure Since you probably do not know or don't care for the crowning of the wheels you can assume a finite cylinder on a plane calculation. This is very crude because a true cylinder on a plane produces infinite edge stresses thus requiring what is called end relief for them to roll efficiently and function ...
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c#, asp.net, video, reference Here too: I prefer string.Empty over String.Empty. Takes away some of the black color in your IDE and it feels slimmer. All the cool kids use it. Conclusion Overall the code is very well written and easy to follow. Some styling remarks that can be solved by following the conventions and ...
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javascript, ecmascript-6, ajax, promise, leaflet // Create new kml overlay parser = new DOMParser(); kml = parser.parseFromString(kmltext,"text/xml"); console.log(kml) const track = new L.KML(kml) map.addLayer(track) // Adjust map to show the k...
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where x is an L-point linearly spaced vector generated using `linspace`. The parameter r is the ratio of cosine-tapered section length to the entire window length with 0 ≤ r ≤ 1. For example, setting r = 0.5 produces a Tukey window where 1/2 of the entire window length consists of segments of a phase-shifted cosine wit...
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general-relativity, differential-geometry, field-theory, coordinate-systems, covariance \begin{align} p_i=g_{ij}\dot{q}^j \end{align} (and then, since this equation relates momenta to velocities, one gives an interpretation to the metric as a "generalized mass matrix", but now I'm just rambling).
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• It does have an answer, but the probability itself sits in a range depending on the distribution of other possible answers. Probability is always about making assessments based on incomplete information. We need to make an estimator for the probability that two incorrect answers are the same incorrect answer based on...
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python, performance, python-3.x, security, union-find Adds a new root to the tree with its root set to self (meaning it's top level) and with a size of one. :param self: self :param uid: the Student ID to add to the tree :type uid: str :returns: whether the operation succeeded ...
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shortest-path 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 smaller than tha...
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newtonian-mechanics, lagrangian-formalism, computational-physics, variational-principle, action $$S[x] = \int_{t_0}^{t_1} L\Big(\,x, \,\frac{dx}{dt}\,\Big) \, dt = \int_{t_0}^{t_1} L\Big(x(t), \,\frac{dx}{dt}(t)\Big)\, dt .$$ Where $L(x, \dot{x})$ is the lagrangian of the system. Then, according to the calculus of...
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python, wavelet, transform, dwt # Plot both decomposition versions fig, axes = plt.subplots(2, 1) axes[0].plot(coefs_own[0]) axes[0].plot(coefs_own[1]) axes[0].set_title('Own') axes[0].legend(['Approx.', 'Detail']) axes[1].plot(coefs[0]) axes[1].plot(coefs[1]) axes[1].set_title('PyWavelets') axes[1].legend(['Approx.',...
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algorithms, algorithm-analysis, runtime-analysis, average-case $$ T(n) = O(n^2 + n(n-1)^2 + n(n-1)(n-2)^2 + \cdots + n!) = O(n!). $$ (We get $O(n!)$ since the terms decrease very quickly from $n!$ to $n^2$, faster than a geometric series.) Of course, without giving a matching lower bound, we don't know whether this an...
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experimental-physics, photons, noise, astrophotography The second is called thermal noise (again as you have already mentioned), and it is the signal which one needs to deal with by taking darks. Again from Romanishin: If we allow the CCD to integrate for some amount of time, WITHOUT any light falling on it, there ...
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inorganic-chemistry, coordination-compounds $\hskip2.1in$ (4) The canonical reference for $\ce{(NH4)2[CuCl4]}$ 's crystal structure is (5) if you want to take a look at the unit cell. (1) Emeléus & Sharpe. Advances in Inorganic Chemistry and Radiochemistry, vol. 21, p. 128 (2) https://www.ncbi.nlm.nih.gov/pubmed/2146...
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staining, fluorescent-microscopy Title: How long does it take to stain cells? I'm never going to run these type of experiments but I do need to have a good idea of their timescale. After I fix my cells, if I stained my cells with histology stains like DAPI, Fluorescein, and various labeled antibodies, how long do I ha...
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forces, work So my question: Why is the book even getting displaced if force is not acting along the direction of motion? If it is, then why is the work done zero? Another question(Edited): I have also read this: Suppose I hold a book and take it straight to a particular height. I do some work on it, which is transfer...
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thermodynamics, temperature, entropy, reversibility You say "For a reversible isobaric and isochoric process, the temperature of the system and surroundings are always in equilibrium (actually, differ infinitesimally) but they are not constant." But isn't that contradicting your last statement that the temperature cha...
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inorganic-chemistry image source: http://web.campbell.edu/faculty/nemecz/323_lect/enzyme_mech/mech_chapter.html Where does that energy come from? Is it from the heat of the solution? The energy comes from the surrounding environment. The surrounding molecules have a thermal energy that can be transferred through co...
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frequency-spectrum, power-spectral-density, bandwidth, measurement, software-defined-radio What am I missing here? My device under test (DUT) is a NI USRP B210 while I am using a Keysight P5001A as a spectrum analyzer. Edit: Please find below two screenshots obtained with RBW 10Hz and 10kHz, respectively. The total po...
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c#, .net, uwp You can test this simulation by creating another loop that modifies the person's name 27 times. for (int i = 0; i < 27; i++) { foreach (var person in persons) { person.Name = i.ToString(); } } await savePersonBatchTask; The output will look like this New batch arrived: 10 New batch ...
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The correct option is B $$\displaystyle 0.17$$ approx.If the match is not finished in $$10$$ games, either of the following events. will possibly occur : (i) All the games are drawn (ii) $$A$$ and $$B$$ each win one game and the rest $$8$$ games are drawn. (iii) $$A$$ or $$B$$ wins one game and the rest $$9$$ games are...
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Since $g_{moon} = \frac{g}{6}$ , speed after falling through 'h' as measured on moon $v_{moon}$ = $\frac{v_{earth}}{6}$ . So, my doubt is , how is option b) correct and mistake in my reasoning . I might be missing something . Thanks File size: 5.5 KB Views: 174 2. Aug 2, 2016 ### Merlin3189 If you say a) is corre...
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programming-languages For example if the domain a consists of all binary trees, you have to have a method for enumerating binary trees. Functional logic languages are basically an optimization of the above method. They use lazy backtracking search over a instead of naive brute force search. Unfortunately, the precedin...
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c#, stream, audio, xna } break; case ".mp3": // TODO, better way to do this? string mp3Path = Path.ChangeExtension(path, null); MemoryStream wavData = new MemoryStream(); MemoryStream wavFile = new MemoryStream(); ushort wFormatTag = 1; ushort nChannels; ...
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physical-chemistry Title: Does a metal being "soft" equal being able to scrape onto paper? When you scrape aluminum onto paper, it makes a faint mark. The question is, does softness of a metal correlate to how well a mark shows up when you scrape it onto a surface such as paper? «How well a mark shows up» is an ambigu...
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gazebo, simulation, kinect, turtlebot, ros-fuerte </launch> Regarding the gazebo problem, many who use robots in gazebo have that problem. I usually do not care about that as long as the robot obeys my navigation commands. But to solve that you can do the following: comment the line in launch file that launches gui, ...
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cell-biology, dna However, some stem cells do remain after the organism has matured. For instance, a mature neuron is unable to undergo mitosis, so stem cells are needed to allow for the production of new neurons to replace those that die, to take one example. You can find out more here.
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frequency-spectrum, dft, frequency-domain, snr, self-study Title: Exercise Related to Frequency Resolution and SNR I'm studying a book about DSP and trying to make exercises. Here is one I'm interested in: A scientist acquires 65,536 samples from an experiment at a sampling rate of 1 MHz. He knows that the signal con...
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- As Jennifer Dylan said, I will post my more computational geometry-oriented answer here since OP used comp-geom as one of the tags for the question: In short, the idea is A specific labeling of each vertex/edge/face would help the automation or parallelization of computing the outward surface normal for computer g...
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coordinate-systems, vectors While doing so, we may set $\phi_2=0$ i.e. $y_2=0$ and the inner product reduces to $$ x_1 x_2 + z_1 z_2 = r_1r_2 (\sin\theta_1\sin\theta_2 \cos\phi_1 + \cos\theta_1\cos\theta_2) $$ We may restore the form for a general rotation by replacing $\phi_1$ in the formula above by $\phi_1-\phi_2$ ...
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cell-biology Since the 3rd edition of the book is now 24 years old, has the answer been discovered and if so what is it? I am reading the 3rd edition now because that is what I have and plan to buy the newer 6th edition if a 7th edition will not be out in the next few months. This is for self-study so no need for me t...
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c++, optimization, xml void MySaxParser::on_end_document(){ cout << "size: " << treeHashMap.size() << endl; } void MySaxParser::printProduction(TreeNode *pNode, unsigned int lhs, bool start){
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is Allowed: such as the lock above. ) ! P(20,9)= 20! (20"9)! = 20! 11! = 60,949,324,800 EXAMPLE 1. Include Answer Key. If you will eventually take Math 2D/E, however, it is possible that your instructors in those classes will assign homework directly from the textbook, so please bear this in mind. Combinations are arra...
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c, database, circular-list, embedded /**************************************************************** * Function Name : BucketPut * Description : writes to the bucket * Returns : true on success else negative.. * Params @data :points to struct to be written ********************************...
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php, beginner, programming-challenge, array echo "<br>Values are in upper case:<br>"; print_r(array_map("toUpper", $Color)); echo "</pre>"; ?> And its output: Sample array: Array ( [A] => Blue [B] => Green [c] => Red ) Values are in lower case: Array ( [A] => blue [B] => green [c...
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algorithms, optimization This shows that if there exists a vertex cover $S$ of size at most $x$, we can light up all the world with at most $n + x + \sum_{e \in E} k_e$ torches (place a torch in the yellow spot of each room, place a torch in the red spot of the rooms corresponding to vertices in $S$, use $k_e$ torches...
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python, sql, database, sqlite # otherwise, print that there were no undelivered strings else: status_print(False, 'No undelivered strings found.') ## get a list of all papers in the database # filter by whichever parameter the user provides. they may use as many as they want (but keys are always printed)...
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Therefore the maximum volume is \displaystyle \displaystyle \begin{align*} \frac{64}{9} \,\textrm{ft}\,^3 \end{align*}, when the box has dimensions \displaystyle \displaystyle \begin{align*} \frac{8}{3} \,\textrm{ft} \, \times \frac{4}{3} \,\textrm{ft} \, \times 2\,\textrm{ft} \end{align*}. Last edited: #### Prove It...
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mechanical-engineering You may be able to use crank-rocker four bar linkage. I haven't sketched it out, but 180 degrees is likely its theoretical maximum. A spring at either end of the range would help avoid top dead center, but power transfer at those high angles would be difficult. In either example you could replac...
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human-biology, biochemistry, metabolism, glucose Title: How are non-glucose sugars metabolized in the body? In my biology book's section on disaccharide metabolism and glycolysis, it states that sugars other than glucose must be acted upon to enter glycolysis. Let's take sucrose as an example. Sucrose is hydrolyzed in...
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rviz, mobile-robot, simulation, pointcloud, drone y=float(self.odometryQuaternion[2]), z=float(self.odometryQuaternion[3]), w=float(self.odometryQuaternion[0])) self.tfBroadcaster.sendTransform(odo...
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javascript, php, api Validation requests A short expiry is sent in the headers, the user sends a request and a successful response is either a 200 or a 304 - make sure to be sending 304s where appropriate. This means a user downloads the file once on the first request, and on each subsequent request for the same asset...
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thermodynamics, statistical-mechanics, equilibrium Instead of holding the temperature of the system fixed, you could choose to hold the energy fixed. Fixing the temperature in terms of the physics means allowing the system to be in contact with a large heat bath at temperature T (the environment). If instead you hol...
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observational-astronomy, telescope, amateur-observing, mercury, instruments Title: How can Mercury's sodium tail be imaged? I recently learned that Mercury has a sodium tail. Can this sodium tail be imaged with a ground based telescope? Is so, what is the minimum setup required to be able to take a picture of it? Do y...
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classical-mechanics, centrifugal-force If the ship can apply thrust along all directions then, the thrust can be applied in such a way that it is always along the radius of curvature of the path of the ship, radially outward applying force on the ship radially inward. In this case objects in the ship will experience a...
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c#, object-oriented, game, .net, playing-cards FourOfAKindAnalyzer.cs public class FourOfAKind : CombinationAnalyzer { public FourOfAKind(Card[] playerCards, Card[] tableCards) : base(playerCards, tableCards) { } public override HandRank AnalyzeCombination() { var pairGroups = allCards.Gro...
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molecular-biology, dna, molecular-genetics, human-genetics, dna-damage Title: What would happen if we place denatured DNA in acidic medium? DNA can be denatured at high temperatures or in alkaline solutions. But DNA can be annealed at low temperatures. I want to ask, could it be annealed in acidic medium? Hello and we...
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rosdep, raspberrypi, mavros Originally posted by tfoote with karma: 58457 on 2017-04-14 This answer was ACCEPTED on the original site Post score: 0 Original comments Comment by fiersome on 2017-04-17: thanks, today i tried using kinetic to build mavros using this : https://github.com/mavlink/mavros/blob/master/mavros...
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java, optimization, recursion, chess private static boolean solve(KnightBoard board) { if (board.isAllBeenOn()) { return true; } Position[] possibleMoves = board.possibleMoves(); if (possibleMoves.length == 0) { return false; } int index = 0; ...
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black-holes, event-horizon, singularities, elementary-particles, point-particles Naked singularities are a problem. They have closed timelike curves, meaning they are not causal spacetimes. Anything can come out of anywhere since there is no cause effect relationships. There's also other reasons. The electron's Schw...
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• Yes, while writing it out in English is fine, it is a bit of a hole that there is no simple notation for the "repeat...until.." paradigm since this is such a key component of lots of algorithms. – zooby Aug 8 '18 at 17:16 • @zooby but it's fine to describe an algorithm. – Andres Mejia Aug 8 '18 at 17:16 • "Computer s...
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qiskit, error-correction, quantum-circuit, simulation, stim max_error_weight = 1 num_qubits = 5 checked_qubits = [0, 1, 2, 3, 4] any_failures = False for state in '01+-': for err in iter_pauli_strings(num_qubits): if sum(p != 0 for p in err) > max_error_weight: continue sim = stim.Tabl...
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electromagnetism Where the primed nabla acts on the primed r. When the current is divergenceless, we then simply obtain the Ampere law in differential form. However, if the current has a nonzero divergence and satisfies charge conservation we have $\nabla \cdot \vec{j}= -\partial_t \rho$. If we then assume that $\par...
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c# The 0 case can be optimized as: if (packetType == 0) { // packet stores number of pixels that follow repeat = ((packetHdr & ~(1 << 7)) + 1) * bytesPerPixel; bytes = inFile.ReadBytes(repeat); bytes.CopyTo(pixData, count); count += bytes.Length; }
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Related: How to generate all partitions of a set. /***** * Compilation: javac Newton. Brett Berry. The return value of sqrt() is the square root of x, as a floating point number. In Section V, an outline of our general design is detailed. Once done, mix the prisms and have the child build it outside of the box, as you ...
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ros2 joint_limit_params = PathJoinSubstitution( [FindPackageShare(description_package), "config", ur_type, "joint_limits.yaml"] ) kinematics_params = PathJoinSubstitution( [FindPackageShare(description_package), "config", ur_type, "default_kinematics.yaml"] ) physical_params = PathJoinSubstitution( [FindPa...
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ros, android-core, rosjava-core, rosjava, android It looks like the VisualizationView class in maven central repo did NOT have addLayer method. Any suggestion will be appreciated. Originally posted by kevin.kuei.0321@gmail.com on ROS Answers with karma: 159 on 2015-11-02 Post score: 0 I think maybe the APi got chang...
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java, circular-list This could be simplified, you do not need 2 complex cases: final int remaining = Math.min(thearray.length, size - put_idx); System.arraycopy(thearray, 0, buffer, put_idx, remaining); final int rest = thearray.length - remaining; System.arraycopy(thearray, remaining, buffer, 0, rest...
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machine-learning, classification, svm Title: Are there other large margin classifiers than SVMs? When reading about SVMs (e.g. on the German Wikipedia) there is a sentence like "an svm is a large-margin classifier). Are there other large margin classifiers than SVMs? Yes, one famous example are boosting techniques lik...
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wavelet, cwt, fast-wavelet-transform My questions are Does the fact that $V(\phi_1)$ and $V(\phi_2)$ are orthogonal to each other imply that $\phi_1$ and $\phi_2$ are orthogonal? Does the oblique projection mean that $\phi_2(t-k)$ and $\phi_2(t-l)$ are not orthogonal to each other, where $l$ and $k$ are integers? Are...
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python, game, python-3.x if s == "tall": s = "long" height = inp else: length = inp if not gameState.disableConfirmations: a = getBoolFromInput("Are you alright with a " + "{} by {} ...
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ros, rviz try: tfs = self.tf_buffer.lookup_transform(self.target_frame, msg.header.frame_id, msg.header.stamp, rospy.Duration(0.3)) except (tf2_ros.LookupException, tf2_ros.ExtrapolationException) as ex: rospy.logwarn_throttle(4.0, ex) return
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ros, navigation, broadcaster, robot-pose-ekf, transform -0.486449 Max Delay: 0 Frame: /standoff_2in_4_link published by /robot_state_publisher Average Delay: -0.486448 Max Delay: 0 Frame: /standoff_2in_5_link published by /robot_state_publisher Average Delay: -0.486447 Max Delay: 0 Frame: /standoff_2in_6_link publishe...
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classical-mechanics, lagrangian-formalism, conventions, variational-principle, action Title: Why is the formula for stationary action expressed as kinetic minus potential energy instead of potential minus kinetic energy? I am sure this is a duplicate but I could not spot it exactly. And I am sure folks have covered t...
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c++, object-oriented, windows, tetris Table::~Table() { for (short i = 0; i < numberOfLines; i++) { delete[] table[i]; } delete[] table; } That is so so C. First of all why allocate dynamic arrays here? You want a fixed array. So you could just declare a two dimensional C array. Since we a...
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organic-chemistry, reaction-mechanism, stereochemistry The hydroxyl group attacks C-3 and $\ce{I-}$ leaves. Then $\ce{N3-}$, the nucleophile, attacks C-3. Since two successive inversions occur at C-3, the net result is retention. As you can see, the configuration has not changed. @bon brought up a point: The format...
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python, deep-learning, keras, tensorflow File "/home/pc/Documents/user/code/keras_tensorflow/venv/lib/python3.6/site-packages/tensorflow_core/python/eager/def_function.py", line 370, in _initialize *args, **kwds)) File "/home/pc/Documents/user/code/keras_tensorflow/venv/lib/python3.6/site-packages/tensorflow_cor...
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newtonian-mechanics, friction The model for this is that right after a site hops, on the next time step, there is a parameter M called the overshoot parameter, which weakens the on-site pinning force, and that of the nearest neighbors. The total force only has to exceed the pinning force minus M in order to get the si...
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first-order ODE, particularly suitable for quick programming because of their great simplicity, although their accuracy is not high. non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. He not only made formative contributions to the subjects of geometry, calculus, mechanics, and number theory bu...
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ros, ros2, servo, ros-control If your on-board computer has GPIO pins that can produce a PWM (or other) signal to control your servos, then you can just wire your motor driver directly to your on-board computer. If your on-board computer doesn't have GPIO pins then you can use a micro-controller to interface the hardw...
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digital-communications, bpsk, signal-power Title: What is the unit-power information signal? I am learning signal processing for my subject and have some problems with the unit-power information signal. I refer to this paper: https://arxiv.org/pdf/1906.03949.pdf In this paper, they formulate the received signal as: $y...
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fluid-mechanics, pumps, hydraulics Most commercial hydraulic pumps have a certain limit of RPM, liters per minute and pressure. I don't think that even if the torque of the pump motor was super low, it would be able to pump as much fluid as this. So, regardless of making a custom pump or not, I believe that this is a ...
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c, object-oriented, array Title: Dynamically-expanding array in C I'm learning C, specifically OOP in C. As practice, I wrote a dynamically-expanding array. dynarray.h #ifndef DYNARRAY_H #define DYNARRAY_H typedef struct DynArray { int length, capacity, *arr; void (*extend)(struct DynArray *d...
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python, python-3.x, rest, wrapper # COMMENT: I'm going to completely rewrite this part. # status = api_resp.ok # if api_resp.ok: # resp = api_resp.json() # print(f'{resp}') # else: # resp.raise_for_status()
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molecular-orbital-theory, lewis-structure Title: Structure of NO2 compound? What is the correct structure for the $\ce{NO2}$ compound (not ion)? I always thought it was like: since the negative charge would be residing the on the highly electronegative oxygen, but was reading this blogpost by the guys at WolframAlpha...
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ros2, rviz, ros-humble, nav2 [lifecycle_manager-12] [ERROR] [1698166413.694941267] [lifecycle_manager_navigation]: Failed to change state for node: bt_navigator [lifecycle_manager-12] [ERROR] [1698166413.695032343] [lifecycle_manager_navigation]: Failed to bring up all requested nodes. Aborting bringup. The problem wi...
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newtonian-mechanics, reference-frames What causes to the person to move backwards in the frame of reference of the car? In the case of an accelerating frame of reference we can assign a pseudo force but in this case the acceleration of our frame of reference (i.e. the car) is zero, so we can't say that pseudo force is...
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python, opencv, scipy, video Title: Rainbow Trails Video Effect This is an effect to augment juggling videos: The goal of this effect is to add a rainbow trail to a video using a tracked set of points. Link to source video Link to source data Link to complete Python script Link to complete video This is how the scrip...
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mobile-robot, slam, localization, kalman-filter, ekf Title: How to detect loop in robot movement observing odometer data I have some odometer data. This data are based upon robot movement. I can transfer those raw data to a motion equation from where I get x,y,and theta co-ordinate of a Robot. If I plot those x,y coo...
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order to get a feel for what is happening in the simulation. However, graphs like these are not ideally suited to start interpreting what is going on. For that purpose, we need something else. ## The Role of a Table Maximum When Using the Martingale Strategy for Roulette I promised you a different kind of chart, and we...
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fluid-dynamics, viscosity When we compare streamlines past a fixed sphere, the two are superficially similar, except that the Stokes streamlines are displaced further by the body. This statement essentially provides verification that as Reynolds number decreases, or viscosity increases, that it can be expected that s...
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Is subtraction an operation on integers? I have a question regarding operations. I use the following definition: An operation * on A is a rule which assigns to each ordered pair (a,b) of elements of A exactly one element a*b in A. This implies that a*b must be UNIQUELY identified. I don't exactly understand what it m...
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You want to find a closed form solution for: $$S_n = \sum _{i = 0} ^n {{2n + 1}\choose i}$$ For n = 0, we can show that $S_0 = 4^0 = 1$. You can easily compute it for the first few values of n. Now, assume that for n = k, it is true that: $$S_n = S_k = \sum _{i = 0} ^k {{2k + 1}\choose i} = 4^k$$ We want to prove t...
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Note: Of course applying this method here is to take a sledgehammer to crack a nut. But these techniques are useful also in more difficult context. See e.g. this answer. • Is this really easier than using induction? May 28, 2016 at 17:57 • @MarcvanLeeuwen: Of course not - see my note at the end of the answer! :-) But ...
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javascript // Need to validate logical comparators for provided time format? function checkForConflict(c1s, c1e, c2s, c2e) { // case 1 start time, case 1 end time, case 2 start time, case 2 end time // if (c1 intersects c2) or (c2 intersects c1) or (c2 contained in c1) or (c1 contained in c2) or (anything else?) i...
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python, beginner, python-2.x, formatting dict(Name = "Argentina", Population = "40,117,096"), dict(Name = "Poland", Population = "38,502,396"), dict(Name = "Sudan", Population = "37,964,000"), dict(Name = "Uganda", Population = "35,357,000"), dict(Name = "Canada", Population = "35,344,962"), dict(Name =...
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c++, recursion, template, c++20, constrained-templates // recursive_reduce_all template function with initial value and specified operation, overload for std::array template<template<class, std::size_t> class Container, typename T, std::size_t N, class TI, class...
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THEOREM 1: With prime $p \equiv 1 \pmod 4,$ there is always a solution to $$x^2 - p y^2 = -1$$ in integers. The proof is from Mordell, Diophantine Equations, pages 55-56. PROOF: Take the smallest integer pair $T>1,U >0$ such that $$T^2 - p U^2 = 1.$$ We know that $T$ is odd and $U$ is even. So, we have the integer equ...
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ros, roslaunch, yaml, nodelet, rosparam The nodelet loads and runs, but the parameters are all default values, not the ones set in the config.yaml. How can this be accomplished? Originally posted by themightyoarfish on ROS Answers with karma: 11 on 2017-08-15 Post score: 0 Original comments Comment by lucasw on 2017...
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mfcc, clustering, k-means If you want to go into this in even more detail, I'd suggest reading the paper: Andrew P. Bradley, The use of the area under the ROC curve in the evaluation of machine learning algorithms, Pattern Recognition, Volume 30, Issue 7, July 1997, Pages 1145-1159, ISSN 0031-3203, http://dx.doi.org/...
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ros, moveit, ros-melodic, universal-robot, jointstate Title: Webots - MoveIt! Controlling two UR5e Robots Hi, I want to contrloll two ur5e arms with Moveit over Webots. My goal is to give them an endeffector pose and they go to that position. It works for one! My problem is to controll more than one. I want to have o...
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lambda-calculus, proof-assistants I am hoping that someone could point me a good tutorial on quotient structures. The idea is that two expressions which are α-equivalent are not meaningfully different. λx.λy.x and λz.λy.z are technically different expressions. They are α-equivalent, though, they intuitively represent ...
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thermodynamics, pressure, temperature, everyday-life, food Title: Why pressure cooker is more effective in cooking than any vessel? Why do we prefer cooking/boiling food in pressure cooker, I know there is a reason but don't know what is it? I can't show my work here as it is a conceptual question. Cooking things in...
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optics, waves, interference, diffraction, wavelength Last time I checked minima occur when the path difference is a half-integer multiple of the wavelength and not an integer multiple. So the update I have provided has changed nothing. The question still remains; why is it a one and not a half? I will first use the ...
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javascript, array console.log(find([3, 4, 5], [1, 2, 3, 4, 5, 6, 7])); // 2 console.log(find([6, 7, 1, 2], [1, 2, 3, 4, 5, 6, 7])); // 5 console.log(find([60], [1, 2, 3, 4, 5, 6, 7])); // -1 console.log(find([3, 4, 5], [1, 2, 3, 4, 6, 7, 3, 4, 5, 9])); // 6 .as-console-wrapper { max-hei...
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particle-physics, standard-model, quarks, isospin-symmetry, baryons The reason is "addition of angular momentum." Well, not angular momentum literally, but the power of using representation theory to decompose product representations. We say that the up and down form an isodoublet. This means that a bound state of two...
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particle-physics, standard-model, elementary-particles, half-life Title: Stability of elementary particles Are elementary particles stable, like many atoms or molecules are stable if there are no reaction partners nearby? Or can they be observed just for very short instances of time? How elementary are you talking. Al...
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complexity-theory, np-complete, p-vs-np If the two complexity classes are different then by Ladner's theorem there are problems which are $\mathsf{NP}$-intermediate, i.e. they are between $\mathsf{P}$ and $\mathsf{NP\text{-}complete}$. If this case, how would we know that the NP problem isn't 'harder' than what we cu...
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beginner, haskell That's not really surprising, since State s a is more or less just an abstraction of s -> (s, a). Since a is () in your case, we can just get rid of it and end up with s -> IO s. We can use State(T) to our advantage if we have several Stateful functions. However, we only have play. Speaking about pla...
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