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javascript, html, css, ecmascript-6, user-interface --${webComponentName}-private-dot-diameter: calc(var(--${webComponentName}-private-track-width) * 2); --${webComponentName}-private-dot-container-offset-front-side: calc(calc(var(${propertyThumbDiameter}) - var(--${webComponentName}-private-dot-diameter)) / 2); -...
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is a widely used integral transform with many applications in physics and engineering. Integrate by parts : t. It takes a function of a real variable t (often time) to a function of a complex variable s (complex frequency). Delta functions have a special role in Fourier theory, so it's worth spending some time getting ...
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javascript, html case 'input-email': if(!item[i].value.includes('.') || !item[i].value.includes('@') || !letters.test(item[i].value[inputLength-1]) ){ // check if includes (@ or .) and check if the last index is a letter error.textContent = 'Invalid data'; error.classList.remove('p-h...
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structural-engineering, civil-engineering, steel, structures, beam This stress is well above the the yield of the beam and it will deform plastically. In fact, it is above the plastic yield too, so it will break. This doesn't account for lateral torsional buckling because the further calculation is only required if th...
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In a somewhat different direction, it can be possible in some cases to break the parity barrier by assuming additional equidistribution axioms on the sequence ${a_n}$ than just (13), in particular controlling certain bilinear sums involving ${a_{nm}}$ rather than just linear sums of the ${a_n}$. This approach was in pa...
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general-relativity, redshift, expansion In a collapsing universe objects would look blue-shifted instead of red-shifted. The degree of blue-shift would be dependent of the way the collapse would take place. These things are relevant to be considered to exclude an option of an alternate spacetime which could explain ob...
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python, python-2.x, regex Single source of information / magic numbers In your enumerate_hash_types, the magic number 3 appears twice. Because the function is so short, it is obvious that if you change the first, you have to change the other one but it is a good practice to use a local variable/argument/global constan...
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$${\small 5. \enspace}$$ Two planes p and q have equations $${\small x + y + 3z = 8}$$ and $${\small 2x \ – 2y + z = 3}$$ respectively. $$\\[1pt]$$ $${\small\hspace{2.8em}\textrm{(i)}.\hspace{0.7em}}$$ Calculate the acute angle between the planes p and q. $$\\[1pt]$$ $${\small\hspace{2.8em}\textrm{(ii)}.\hspace{0.7em}}...
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int main(){ int n=5,k=2; cout<<"Value of P("<<n<<", ""<<k<<") is "<<permutationCoeff(n,k); return 0; } Output: Value of P(5,2) is 20 Time Complexity of above code is O(2^k) ## Basic Idea of using Dynamic Programming: The above function is computing the same subproblems again and again. See the following recursi...
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urdf, robot-state-publisher Title: About robot_state_publisher + URDF Hi everybody, As stated in this post (see answer of Ahendrix) one should load the urdf model using the param tag in the launch file. This is exact what happens in this tutorial, where the author wrote in his launch file the following line of code: ...
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thermodynamics If you consider "the system" to be the gas, then the work done by the gas as it expands is the integral of the internal pressure over the change in volume, because the first thing I learned in physics is that work is the integral of force over distance moved. If you consider "the system" to be the pisto...
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convolution, dft, symmetry x = rand(N,1); % Time-domain random symbol h = rand(N,1); % Time-domain random channel X = fft(x); % Symbol FFT H = fft(h); % Channel FFT Y = H.*X; % Ideal Received Symbol (Ideal because of circular convolution) % Time-domain complex vectors from positive frequencies x_plus = ifft(X(1:(N/2 ...
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answer: Yes. Any exponents in the radicand can have no factors in common with the index. Check it out. We can raise numbers to powers other than just 2; we can cube things (being raising things to the third power, or "to the power 3"), raise them to the fourth power (or "to the power 4"), raise them to the 100th power,...
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newtonian-mechanics, material-science, statics, structural-beam So, $σ=3PL/2bh^2 <=> P=(1.6*2*20^2*140)/(3*1600)=37.33N$ or approximately $3.80Kg.$ edit: Having a second look to your question and to my answer, i realized that you mentioned a thickness of 12mm and not 20mm as i calculated above. This is one typical v...
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plz help!! test tomorrow! • Jun 11th 2006, 09:48 AM alientype plz help!! test tomorrow! here is what i need to do_ ''Rewrite the following functions in the form y=a(x-h)^2+k.Find the vertex.'' here is my problem_ y = x^2 + 4x - 9 ---------- I tried to learn this but i just can't...my teacher is 2 lazy and not will...
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molecular-orbital-theory Title: MO diagram for pentaamminechlorocobalt(III)? I was considering the MO diagram for [Co(NH3)5Cl]2+, and figured it’d be as follows: 5 sigma interactions from the NH3 ligands; by reducing a reducible representation one obtains 2A1 + B1 + E 2 pi interactions (pi donation from Cl- px and p...
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fluid-dynamics, vacuum Title: What happens when a the volume of a perfect vacuum (0 psi) is increased? I'm an engineer working on a design in which a "plunger" will be pulled out of a sealed vessel, where the starting volume of the vessel is essentially zero and I need to know what will happen to the surrounding struc...
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$\mathcal{U}_n=\{ U \subset X: U \text{ open in } X \text{ and } U \times U \subset U_n \}$ Note that each $\mathcal{U}_n$ is an open cover of $X$. Also note that $\{ \mathcal{U}_n \}$ is a decreasing sequence since $\{ U_n \}$ is a decreasing sequence of open sets. We show that $\{ \mathcal{U}_n \}$ is a sequence of ...
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c# [minor] Instead of using classProperty.PropertyType.Namespace.Equals("System.Collections.Generic"), I'd remove the string and use something like classProperty.PropertyType.Namespace.Equals(typeof<IList<object>>.Namespace) The comparer doesn't handle Dictionary<K,V>, since you're only looking for IList; if you start...
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So the naive method fails once $$x$$ crosses the datatype precision limit, but the mathemagics baked into np.expm1 return the right answer across the full domain. ## aoi out of bounds¶ Round-off error showed up recently in a pvlib issue. The angle of incidence (AOI) projection is a measure of how well-aligned a solar...
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Are you familiar with the fundamental theorem of calculus? In your case it can be stated as $$\int_y^x \frac{1}{t}dt=\ln(x)-\ln(y)$$ Because $\ln(t)$ is an antiderivative of $\frac{1}{t}$. Now for $x=1$ we have $\ln(x)=0$ and thus $$\int_1^x \frac{1}{t}dt=\ln(x)$$ So the right side is very simple. That's why the ch...
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automata, trees, buchi-automata Title: Proving that a (tree) language is not Buchi recognizable I'm reviewing some notes about tree automata and I'm trying to conclude a proof that the professor left incomplete. The statement is: Let $A = \{a,b\}$ and $T = \{t \in T_A^{\omega} \mid \text{every path in $t$ contains a ...
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quantum-computing Now the explanation/algorithm goes via 0) - the function must be given as quantum oracle - i.e. built from the gates 1) H gate on inputs and output 2) pass qbits, now in H rotation, into oracle - thus exactly one invocation 3) make H gate on inputs and outputs once again (is self inverse, so we a...
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big-list, encoding, examples Let $\Sigma_1 = \{ 0, 1 \}$ and $\Sigma = \{ 0, 1, 2, 3 \}$. Converting $O_{\Sigma_1}$ into an oracle $O_{\Sigma_2}$ is easy: we query $O_{\Sigma_1}$ twice, converting the results as follows: $00 \rightarrow 0$, $01 \rightarrow 1$, $10 \rightarrow 2$, $11 \rightarrow 3$. Clearly, this prog...
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optics Title: Are there interference effects for light that is reflected at an angle? I am imagining a glass substrate with a thin coating that has a 1/4th wave optical thickness. I understand how this acts as a basic anti-reflective coating for the one wavelength for which it acts as a quarter wave. The light reflect...
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javascript, jquery, json, ajax, wikipedia Title: Wikipedia search using the JSON API What could I do better in my code or logic? Wikipedia Search $(function(){ $('.search-input').keyup(function(data){ var pesquisar = $('.search-input').val(); $('.box-logo').fadeOut(500, function(){ $('header').css('paddin...
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electromagnetic-induction Title: Why is Motional Emf 0 when velocity is parallel to length? Why is Motional Emf 0 when velocity is parallel to length? Lets assume a case when B (magnetic field) is perpendicular to velocity and parallel to area vector of a circular coil . Now according to formula Motional Emf = $$V=\i...
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faster-than-light to that small enough region. Now it may very well be that such a region might be rather small; if you're falling towards the singularity of black hole, "small enough" could mean a region the size of your toenail, which means that your body is straddling a highly curved region: this is what leads to t...
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php, object-oriented, template So a usage example would be require_once 'Template.class.php'; $data = [ 'data' => $data, 'results' => $results, ]; $template = new Template('path/to/template/file'); $template->render($data); Quite off topic but consider a more tidy syntax for your template. <div class="w...
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ros, navigation, ros-indigo, gmapping Title: Can I use gmapping without publishing the map in /map? I am using gmapping but I do not want to publish the map on the topic /map so is there any thing I can do to modify it? Originally posted by roberto3 on ROS Answers with karma: 11 on 2018-03-15 Post score: 0 My guess...
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c#, meta-programming, rubberduck _targetDeclaration = target; Refactor(); } private void AddField() { var module = _targetDeclaration.QualifiedName.QualifiedModuleName.Component.CodeModule; module.InsertLines(module.CountOfDeclarationLines + 1, GetFieldDefinition()); } pri...
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catkin, roscpp Title: Is there a way to enable c++11 support for catkin packages? I tried to use auto and lambda functions, but it isn't working by default. And I wasn't able to find how to set compiler option -std=c++11. Is there a way to do it? Originally posted by INait on ROS Answers with karma: 220 on 2014-04-1...
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vba, excel Dim I As Long '/ General counters Dim J As Long '/ Dim K As Long '/ Yup. i, j, & k are counter variables. Every programmer every where knows this. No need for a comment, but why ar...
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c++, optimization, algorithm, primes int main() { int t; unsigned int i, j, k; cin >> t; int m, n; cin >> m >> n; if (n - m <= 100000 && m <= n && 1 <= m && n <= 1000000000) { int a[n - m + 1]; for (j = 0; j < n - m + 1; ++j) { a[j] = m + j; } ...
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quantum-mechanics, condensed-matter, superconductivity Title: Phase gradient, vector potential and current in a superconductor For a superconductor we may write a wave function $\psi$ as a function of a density $\rho(\vec{r})$ of particles as $$\psi(\vec{r})=\rho^{1/2}(\vec{r})\,e^{i\theta} \, .$$ This leads to the pr...
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Integers which are squared norm of 2 by 2 integer matrices Question: Which integers are of the form $$\Vert A \Vert^2$$, with $$A \in M_2(\mathbb{Z})$$. The code below provides the first such integers: $$0, 1, 2, 4, 5, 8, 9, 10, 13, 16, 17, 18, 20, 25, 26$$. By searching this sequence on OEIS, we find: "Numbers that ...
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quantum-field-theory, quantum-chromodynamics, symmetry-breaking, quantum-anomalies, pions Now, here is the problem I am struggling to answer. In the text, they refer to these goldstones as being the three pions $\pi^+$, $\pi^-$, and $\pi^0$. From measurements, we know pions are massive particles. From the above reason...
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operators, terminology, quantum-optics $$D(x,p)^* = D(-x,-p)\:,\quad D(0,0)=I$$ is a group and it is called Heisenberg group, it is homeomorphic (diffeomorphic) to $U(1) \times \mathbb R^2$ but not isomorphic as a Lie group. It is a real three-dimensional simply-connected Lie group with Lie algebra generated by three...
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machine-learning, python, class-imbalance I've ended up concluding that as we balance our data using random oversampling our precision and accuracy decrease. I want to know why this is the case... If it requires me to do more research, link to resource would be greatly appreciated. Thanks! Intuitively the problem of i...
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electromagnetism, time but with the wires only encircling a portion of the torus. As current flows, it induces a magnetic field that I believe follows the torus, but what happens when there is no more wire, are the magnetic field lines going to just diverge? I was told that the magnetic field would continue to follow ...
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newtonian-mechanics, energy, work The transfer of energy can be in the form of heat or work. You can use energy to heat up (raise the temperature of) your house in the winter, can't you? Does that usage of energy involve performing mechanical work? You can build a fire outdoors to keep warm due to energy transfer by r...
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In [39]: N= 2560 T = 2048. dt = T/N fig,ax=plt.subplots(1,1) t=np.arange(0,T,dt) f0=1./30.; om = 2*np.pi*f0; amp=0.5 x=np.random.randn(N)+amp*np.cos(om*t) ax.plot(t,x,'k') NFFT=256 # there is a better way to do this, but lets brute force it: nblock = np.floor(N/NFFT) print nblock for ind in range(int(nblock)): i...
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- There are a few things I do not follow in your explanation. Firstly, if passenger 1 sits in seat 1, the expected number of correct seats is n, because everyone sits in their correct seat if it is available, so excluding that possibility materially affects the answer. Secondly, it can be shown (see below where I answe...
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digital-communications, multiplexing Title: The difference about WPCN and TDMA or FDMA I am a little bit confused about the difference WPCN and TDMA or FDMA,i mean the level difference. WPCN is a wireless powered communication network,as the name implies,it can transmit the information without wire,so is it a transmit...
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astrophysics, thermal-radiation, planets The comment about the absorption lines is a bit more cryptic. The scattered spectrum may well contain absorption features that are present in the stellar spectrum, due to atoms and molecules in the stellar photosphere, but you can also get molecular absorption features where th...
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algorithms, data-structures, arrays /// The type for a single component type 'K Component = { position: Position; value: 'K } /// The numerical components of a tensor type 'K Components = 'K Component list For example, a simple scalar would then have the components $(i)$ where $i$ can only be 0 (otherwise it is a ve...
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vba, excel passedTest = bListed And bDirectory And bRevision And bUpdate And bProtected If not passedTest Then If bDirectory = False Then errorMessage = errorMessage & " Not opened from server." If bRevision = False Then errorMessage = errorMessage & " Incorrect revision" If bUpdate = False Then errorMes...
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physical-chemistry, molecules, conductivity Title: What attributes cause a substance to be nonconductive or conductive I understand what causes elements to be conductive or nonconductive. But what causes a substance say rubber to be nonconductive at a molecular level? Conductivity requires mobile electrons. Metals ten...
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homework-and-exercises, plasma-physics You can think of it in terms of potentials, where the ponderomotive potential goes as $\phi$ $\propto$ $\langle \delta v^{2} \rangle$, where $\delta v$ is the fluctuation velocity of the particles in the potential and $\langle \rangle$ is a spatial ensemble average. Note that the...
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the-moon, moon-phases Title: How to calculate moon overhead and underfoot time? For hunting purposes, some hunters follow the moon phases to hunt accordingly. To give some context, here's some links: Lunar cycle's effects on hunting: https://www.acurite.com/blog/weather-stations-with-moon-phase-for-hunting-fishing So...
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python, playing-cards, cyclomatic-complexity What's captured by cyclomatic complexity? One thing that cyclomatic complexity does capture is that "complicated" conditions count more than simple ones. So when you write if card.selfcast and player is None, this actually counts as two ifs. This is why you reach 6: 5 ifs +...
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algorithms, graphs, trees If so, let us cover the edge to the longest of $r$ and $s$, so the new maximum length of an uncovered path becomes $s_{\textit{new}} = \min (s_{\textit{old}}, r)$. If $r + s \le d$, we don't yet have to cover anything, and the new maximum length is $s_{\textit{new}} = \max (s_{\textit{old}}, ...
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bash, raspberry-pi # create log file or overrite if already present printf "Log File Streaming- " >> $log Use double-quotes around variables in shell commands Instead of these: if ps ax | grep -v grep | grep $SERVICE > /dev/null printf "Log File Streaming- " >> $log $SERVICE -o alsa https://xxxxxxxxxxxx/playlist.m3u...
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human-biology, human-anatomy, human-physiology, cardiology their membranes after each action potential. When this slow depolarization reaches the threshold voltage, another action potential fires. The SA node drives the rate of the heart because an action potential reaches these other automaticity centers, or latent p...
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Used in practice, it is safe to say that output is more demanding than the definition. Used in practice, it is another random variable, then would n't that mean that convergence in,! Of random effects cancel each convergence in probability and convergence in distribution very different and is primarily used for testing....
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nmr-spectroscopy When the ratio $J/\Delta\nu$ is small, i.e. the weak coupling limit, then $\sin(2\theta)$ is small and the difference in intensity is hardly noticeable - not something that you can tell by eye. For example, in a $\pu{400 MHz}$ spectrometer, two protons that have a chemical shift difference of $\pu{1 p...
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python, pygame if not pygame.display.get_init(): return False for event in pygame.event.get(): if event.type == pygame.QUIT: self.__call_premade_event_callback_no_parameter(pygame.QUIT) elif event.type == pygame.USEREVENT: self.__call_custom_...
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c, floating-point Minor: Parameter order Maybe instead of double d, char *s, int prec, follow the sprintf() order char *s, int prec, double d as a more familiar idiom. Rounding The code cost to do basic rounding is not high. I recommend it. Temperature and -0.000 When reporting temperature, seeing -0.0 can be informa...
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object-oriented, ruby, serialization, active-record class DepartmentWithManagersSerializer < DepartmentNameSerializer has_many :primary_managers, serializer: ManagerSerializer has_many :secondary_managers, serializer: ManagerSerializer end class DepartmentWithEmployeesSerializer < DepartmentNameSerializer has_m...
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It suffices to divide $$\mathbb R$$ into two sets $$A$$ and $$B$$ such that $$|A|=|B|=|\mathbb R|$$. This means you have some bijection $$\varphi$$ from $$A$$ to $$B$$. I.e., you have pairs $$a\in A$$ and $$\varphi(a)\in B$$ Using these two subsets you can construct bijections $$\mathbb R\to\mathbb R$$ by choosing so...
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navigation When I change tf to some reasonable parameters from my initial parameter, that should work, I get that my laser sensor is out of range, exactly - on some negative x or y positions. Does navigation work only with positive x and y? My simulation is left oriented, so this might be problem with getting to work ...
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c#, optimization, .net Console.WriteLine(packet[objectstart]); var bin2 = packet[objectstart] & brush; binR1 = Convert.ToString(bin2, 2).PadLeft(7, '0'); obj[currentIndex] = Convert.ToInt16(packet[objectstart]); return binR1 + ProcessSegment(obj, currentIndex++, objectStart++, packet); } Your c...
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Triangle have, with no interior angle greater than 180 ° 8 triangles starts corroding the popular... Trapezoid have in an over the board game a polygon with 10 sides will also have 10 which! As the variable. we will learn more about them in the following.... Edges which could be called diagonals take over a public comp...
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ruby How can I improve this? If there a better way to get the unique teams from the match info? That parts looks convoluted. I also feel that the method is too large. Note that uniq is not in-place, uniq! is. Otherwise, I guess your code is pretty good if you like imperative style (maybe some unnecessary comments coul...
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quantum-gate, entanglement, linear-algebra i.e. $\mathcal{O}_i$ applies the $Z$ gate to party $i$ and does nothing to the rest. If Alice performs $\mathcal{O}_1$, then Bob performs $\mathcal{O}_2$ and then Charlie performs $\mathcal{O}_3$, which I understand is a protocol within the LOCC rules (actually no communica...
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c++11 loanSystem.calculateLoanType(customer); std::cout << "The customer has decided to take out: " << customer.GetTakeOutLoan() << "\n"; } I suggest that Loan be a pure abstract interface. Loan is also cluttered with information that deserve it own class. We name that class LoanInformation. It can be defined as f...
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energy, particle-physics, electromagnetic-radiation, energy-conservation, centripetal-force The alignment of the electrons magnetic dipole moment lead to the deflection of the moving electron and this acceleration (every (non-gravitational) movement in circles is an acceleration) lead to the emission of photons. The p...
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python, algorithm, python-3.x, sorting, quick-sort b, e = e, b if f > i: f, i = i, f if h > j: h, j = j, h if a > d: a, d = d, a if c > e: c, e...
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python, python-3.x, autocomplete When getting one value your code runs in \$O(l^2)\$ where \$l\$ is the maximum length of a string. This is because each cur_path + char is an \$O(l)\$ operation and you do it \$l\$ times. With the current algorithm I'd suggest following an 'eh, screw it' approach and just be happy that...
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microarray I believe the problem is that he is using a pre-computed kinship matrix including both males and females, and when using the “—peopleIncludeFile” it can’t properly select the right people from the kinship matrix. I don’t know that others have tried to do analysis this way. An alternative, that I think has w...
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a box for arc length areas of the length used in the radius r. Are different shapes and sizes such as 3.142 or 3.14159 subinterval we will approximate the function at endpoints... Derived the formula for the surface of the length used in the radius ( )! With this circle area formula: Multiply Pi ( 3.1416 ) with the fun...
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haskell, file-system will execute readAndWrite 1000 times even though the last 997 calls won't copy any lines. Here is a recipe for a loop which is executed at most n times with the possibility of breaking out early: loop n | n <= 0 = return () loop n = do quit <- condition -- check condition if quit...
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temperature, water, vacuum, evaporation Would the water molecules that are boiling at -50C still need to be 100C to be gaseous, and so each one takes 150 degrees of energy with it when it evaporates in the vacuum? No. When a gram of water boils (turns from liquid to vapor) it takes 2260 J of energy, but the vapo...
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ros Title: New to ROS, want to build a robot =) I kinda want to imitate this robot: htxp://forums.trossenrobotics.com/showthread.php?4654-Maxwell-A-Mobile-Manipulator But i want my base to be this one: htxp://www.dfrobot.com/index.php?route=product/product&path=37_111&product_id=63#.UMlFRbT3BT5 So i been thinking to ...
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optics, everyday-life, biophysics, perception Title: Can humans feel artificial light? I know humans can feel sunlight - even blindfolded, it's easy to tell if one is in the noon sun or indoors. However, I don't know about artificial light. Can humans feel sufficiently harsh artificial light? I suspect that very very ...
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matlab, fft, fourier-transform Phase spectrum is a real function. Whatever methods/functions (correct or not) you use to obtain it does not and shall not change this fact. $H(e^{j\omega}) = |H(e^{j\omega})| e^{j\phi(w)} $ where the $\phi(w)$ contains the phase spectrum and the absolute value part is the magnitude spec...
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c++, c++11, trie std::cout << "Print all trie words after deletion: \n"; trieDict.printAllWords(); // Delete Trie trieDict.deleteTrie(); std::cout << "Print trie after trie deletion: \n"; trieDict.printAllWords(); } Not an exhaustive review but a few remarks about struct TrieNode You are using an ...
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algorithms, graphs, algorithm-analysis, graph-traversal, weighted-graphs This algorithm is taken from page 7 of chapter 8 of Jeff Erickson's textbook on algorithms. I have only modified the algorithm so it applies to weighted graphs. Nonetheless, this problem is specifically about DAG, rather than weighted graphs in g...
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quantum-mechanics \end{align} Then we see that only cases with $m=n$ survive and that each term simply gives $(n!)^2$ since e.g. $\langle 0|a^n (a^\dagger)^n|0\rangle = n!$. What is wrong in my reasoning here? You forgot a factor of $1/n!$ in your exponential expansions, and then forgot to use the geometric series. Th...
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use the greater than, or equal to, another value means something either! To ' we say 'at least ', we mean 'greater than or equal in Excel – #... N'T be found than '' symbol with a sleeping line under greater than or equal to sign ) Specifies that one value is than... Be true and it will return matched records as the su...
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materials, optics I've tried a couple of different materials: stainless steel reflectors, transparent Grilamid plastic lenses, a stain-resistant transparent potting and regular glass. All of them end up with a residue that clings to the surface that needs to be wiped clean. Unfortunately, for my application I'm not go...
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c#, logging, reflection Title: Method/parameter tracer I am writing a class which can log the activity of an application during run time. The plan is that the SupportMI string will be sent to a DB, from where I can use some other code to format it properly for readability. I need this class to be usable with .Net-3.5 ...
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mathematical-physics, resource-recommendations, education, mathematics Differential geometry, Manifolds, etc. Lie groups, Lie algebras and their representation theory. Algebraic topology. The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart, and I enjoyed it q...
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The diagram above is commutative which means that we have the following properties: \begin{aligned} \nabla(\pi_{c,h} u) &= \pi_{\mathrm{curl},h}( \nabla u ),\\ \nabla\times(\pi_{\mathrm{curl},h} u) &= \pi_{\mathrm{div},h}( \nabla\times u ),\\ \nabla\cdot(\pi_{\mathrm{div},h} u) &= \pi_{d,h}( \nabla\cdot u ) \end{align...
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c#, event-handling, wpf, delegates You could also add in an overload which handles the case where you don't want to do anything to the filename and add a default for the extension: public static string Open(string title, string fileType = "xlsx") { return Open(title, fileType, s => s); } This will just return the...
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# Visualisation of the field of algebraic numbers in the complex plane Hot to plot the field of algebraic numbers in the complex plane? In this picture, the color of a point indicates the degree of the polynomial of which it’s a root: red = rational numbers green = roots of quadratic polynomials, blue = roots of c...
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Theorem. Let C be a determinant function on . For any , define Then D is a determinant function on . Notice that the summation is on i, which is the row index. That means you're moving down a column as you sum. Consequently, this is a cofactor expansion by columns. Proof. I need to show that D is linear in each row,...
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ros, rospkg, pythonpath Title: ImportError: No module named rospkg I am trying to run fake_turtlebot.launch. I keep getting: Traceback (most recent call last): File "/opt/ros/indigo/share/xacro/xacro.py", line 60, in <module> import xacro File "/opt/ros/indigo/lib/python2.7/dist-packages/xacro/__init__.py", ...
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energy, visible-light You will have much, much better luck using a dedicated photo sensor (photomultiplier, or these day use a SiPM - solid state photomultiplier). SiPM in particular has a gain of around 10^6 for a relatively low bias voltage (30 V for some devices) and will give you electrical signals in proportion t...
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acid-base, ph The equation $[\ce{H3O^+}][\ce{OH^-}]$ holds true, if other parameters (like T) are constant. Keep in mind, the power of hydroxide decreases, whereas the power oxonium increases. Being equal in the equation and considering how logs are being computed,bthey will add up to 14 every time. Regarding the intr...
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In the case the segments are bonded together (i.e cannot slip in respect to each other) - We get the same results for all the case. All the beam act like a full solid body in bending: Although I agree with @kamran, I have another way of thinking about it The deflection of the structure is $$\delta=\frac{P\cdot L}{3\...
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# Application of chain rule for partial derivatives A rectangular metal block above has length y com and a square cross section of side x cm. When the metal block is heated, the area of cross-section A and the length of the metal block increase at a constant rate of $0.3 cm/s$ and $0.2 cm/s$ respectively. Find the rat...
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quantum-field-theory, greens-functions, correlation-functions, functional-derivatives Why the underlined derivation is true? Can any one provide derivation in detail? Anyone helps? A point that I can't understand is why the $\frac{1}{2}$ in the formula for $\langle 0|0\rangle_f$ is disappeared through the derivative....
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Express −1 −1 as i. i. How to perform operations with and graph complex numbers. c=complex(a) creates a complex number from its real part a and zero as the imaginary part.. c=complex(a,b) creates a complex number from its real part a and imaginary part b.. It is denoted by z. How To . For example, you could rewrite i a...
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laser, microwaves, infrared-radiation So the question, broadly put, is what is physically stopping the military from (secretly) slapping one of these onto a Solar powered Satellite that can indefinitely fire laser beams down to earth and take out armies or individuals? Beam divergence is proportional to wavelength $\l...
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ros, message All of the above will require a bridge node running in your ROS application, they do not implement a native ROS client library. If you'd like to avoid the bridging approach, an alternative might be rosnodejs, which is a Node JS based ROS client library that foregoes the JSON serialisation of rosbridge. If...
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I wouldn't want to integrate that, but it would be a limit. • I just noticed for my rectangular region (second integral) for y I have 0≤y ≤1. Should it be 1≤y ≤2? – says Jun 23 '16 at 19:08 • But is 1≤y ≤2 'more correct'? I think they would produce the same result, as the difference between upper and lower bounds is s...
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java, beginner, validation, finance private static boolean isMaestro(String number) { Pattern p = Pattern.compile(MAESTRO); Matcher m = p.matcher(number); return m.matches(); } private static boolean isMasterCard(String number) { Pattern p = Pattern.compile(MASTERCARD); ...
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So the eigen values are $-1,1,2$. Can you find the eigen vectors from there ? For $-1$. Let $x \in \mathbb{C}^3$ such as : $$Ax=-x\iff A\begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix}=\begin{bmatrix} -x_1 \\ -x_2 \\ -x_3 \end{bmatrix} \iff \begin{bmatrix} x_1+x_2 \\ x_1-x_3 \\ -x_2+x_3 \end{bmatrix}=\begin{bmatrix} -...
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