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c#, .net, datetime, formatting t1 = span.ToString("%h") + "h"; t2 = span.Minutes > 0 ? span.ToString("%m") + "m" : String.Empty; } else if ( span.Minutes > 0 ) { t1 = span.ToString("%m") + "m"; t2 = span.Seconds > 0 ? span.ToString("%s") + "s" : String.Empty; } else if ( spa...
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reinforcement-learning, actor-critic For Actor-Critic, you need in general a network performing PG (stochastic or deterministic) -- you Actor -- and a network that will give you the reward signal (like the simple case in the blog. However, for various reasons, instead of the actual reward we use another network that e...
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The reader is referred to Terras (1985) for a general defin-tion of the Helgason-Fourier transform on a symmetric space. For particular functions we use tables of the Laplace. b) Use Parseval’s equality to show that 0 22 2 4 3 d a a ZS Z f ³. Here we make the definitions used in this paper explicit. Introduction These sl...
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# Selling price of coffee mixture A trader buys $15$ Kg of Arabian coffee powder at $x$ dollars per kg and $25$ kg of Brazilian coffee at $y$ dollars per kg. He mixes the two types of coffee powder in a ratio $3 : 5$ and packs the mixture into packets each of which contains $100$ grams of the mixture. He sells the pac...
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quantum-field-theory, statistical-mechanics, conformal-field-theory, ising-model (2) Then, for majorana fermion one can just use $\psi=\chi_1+i\chi_2$ or just use Giuseppe Mussardo "Statistical Field Theory" (chapter 9). (3) For path integral calculation, it is important to keep in mind that $\psi$ is grasssmanian. Th...
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Residual standard error: 0.859 on 17 degrees of freedom Multiple R-squared: 0.9109, Adjusted R-squared: 0.9004 F-statistic: 86.92 on 2 and 17 DF, p-value: 1.183e-09 Looking at the coefficients table, we see that the quadratic coefficient is negative, which allows the model to “bend down” at higher values of x, a...
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species-identification, zoology, entomology, trees, pest-control Description: Wingless adult aphids are pale green with three dark green longitudinal stripes on their backs. Their bodies are covered with a white, mealy wax. [source]. Host Plants: Typically trees in the Prunus genus: cherries, plums, almonds, apricot...
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is like a triangular matrix except that the elements adjacent to the main diagonal can be non-zero: $$A[i,j] =0$$ whenever $$i>j+1$$ or $$i < j-1 .$$ Hollow matrix A square matrix whose main diagonal comprises only zero elements Idempotent or Projection $${\bf P}^2 = {\bf P} .$$ Logical matrix A matrix with all entries...
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algorithms, c++ so the answer would be 6 6 7 7 6 6 7 8 -1 Can anyone suggest some algorithm so that this information can be retreived in O(n) Farthest is in the sense of absolute difference of values. Hence it means for index i, the index j would be farthest if abs(arr[k] - arr[i]) is maximum at k=j for all k>i Bas...
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rules (for exponents). Be careful to distinguish between uses of the product rule and the power rule. Train 8th grade students to rewrite each exponential expression as a single exponent with this set of pdf worksheets. })(); How to use the Power of a Product Rule for Exponents | Mathcation. There are many rules that s...
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special-relativity, reference-frames, inertial-frames, galilean-relativity Title: Inertial and non-inertial frames of references I've heard from a physics professor that there's no stationary platform to observe and analyze a body in motion. Why did he mention that? Is it because even seemingly stationary objects like...
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electromagnetism, field-theory, gauge-theory, degrees-of-freedom, gauge To eliminate one of these unphysical degrees of freedom we choose a 'gauge fixing condition' where we impose a relation among the components of $A_a$. For example we might require that it be divergenceless, $\partial_aA^a=0$, this is known as the ...
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machine-learning, python, neural-network, deep-learning, scikit-learn Title: Back propagation and Structure of a Neural Network in scikit-neuralnetwork I am trying to learn Neural Networks using scikit-neuralnetwork framework and I know basics about Neural Networks and now trying to implement it with scikit-learn. but...
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# If $a \equiv b \pmod n$ and $c+d = n$, does $ca+bd \equiv 0 \pmod n$? I am trying to prove a different equation and am able to if the following is true, but I am not exactly sure if it is true. If $$a\equiv b \pmod{9}$$ and $$c+d = 9$$, is $$ca+bd \equiv 0 \pmod{9}$$ a true statement? I have tried various examples...
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bit-manipulation 1 & \text{otherwise}. \end{cases} $$ This is exactly bitwise OR. If $z=\mathrm{bic}(x,m)$ then $$ z_i = \begin{cases} x_i & \text{if } m_i = 0, \\ 0 & \text{otherwise}. \end{cases} $$ This is bitwise AND of $x$ and the bitwise complement of $m$. In order to see how $\mathrm{bis}(\mathrm{bic}(x,y),\mat...
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angles and the sides of a right triangle. The master formula we are using here is SOHCAHTOA, and remember that SOHCAHTOA only works in triangles where one of the angles is a right angle, so in right triangles. Start solving simple problems that involve this new definition of the trigonometric functions. In Examples 1. ...
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java, object-oriented, simulation, game-of-life if (world[i][j] == ALIVE) { if ((neighbors < 2) || (neighbors > 3)) { worldCopy[i][j] = DEAD; } if (neighbors == 2 || neighbors == 3) { worldCopy[i][j] = ALIVE; } ...
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javascript, validation, form You should care about name conflicts. It would do no harm to attach the functions on to a global object. Or to use a Immediately Invoked Function Expression. Examples here: https://addyosmani.com/blog/essential-js-namespacing/ Concerning the redundancy issue: You could data-attributes and ...
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### Show Tags 20 Feb 2015, 02:32 2 2 00:00 Difficulty: 25% (medium) Question Stats: 78% (01:56) correct 22% (01:54) wrong based on 103 sessions ### HideShow timer Statistics A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, d...
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optics, visible-light, atomic-physics, metals, elements The quantum bit of the story tells us that the colour of metals such as silver and gold is a direct consequence of the absorption of photons by d electrons. This photon absorption results in d electrons jumping to s orbitals. Typically, and certainly for silver, ...
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Using $$\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}$$ (6) and $$\int_{\mathbb{R}} \frac{dx}{\cosh^{\nu} x} \ dx =2 \int_{0}^{\infty} \frac{dx}{\cosh^{\nu} x} \ dx$$ (7) ,one gets exactly the formula posted by Zurtex. Daniel. -------------------------------------------------- [1]G & R,5-th edition,Academic Press,CD ...
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Consider a particular $$k$$-arrangement from our permutation argument. Let it be the permutation $$(x_1,x_2,x_3,...,x_k)$$ where each $$x_i$$ is one of the $$n$$ objects. We know that, no matter which way we arrange this, however, it will be considered the same selection, because in selections/combinations, order doe...
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bacteriology, ecology, pathology, molecular-evolution, bacterial-toxins Title: Why does V. cholerae produce a human specific choleragen? V. cholerae secrete choleragen to grow and escape human intestines, however choleragen does not work on other mammals, why so? Why didn't it evolve a general mammal affecting cholera...
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But suppose that the way I proved it above is correct, and I extend this proof method to other functions that are simplistic in their own right. How would this proof strategy reveal particular preimage(s) that could be mapped to more than one image? In other words, do I actually have to sit down and begin guessing part...
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Note that for question 1, at time $$T_1$$ all points lie in some interval $$I$$ of length $$\leq \varepsilon$$, so all points initially outside of $$I$$ have moved, i.e. all points initially outside of $$I$$ have been chosen as the $$i$$-value at some time-step. Defining $$I^- = [0, (1+\varepsilon)/2]$$ and $$I^+ = [(1...
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particle-physics, weak-interaction, isospin-symmetry, baryons For electromagnetic interactions, these hyperfine effects are tiny. For example, we'd expect the dipole-dipole effects for positronium to be $$\Delta E \sim \frac{e^2}{m_e^2} \frac{1}{r^3_{e^+e^-}} \sim \frac{\alpha_{QED}}{m_e^2} (\alpha_{QED}m_e)^3 \sim\al...
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search-algorithms, binary-search Title: Binary-ish search through partially ordered set I have an interesting function. It takes subsets of {1,...,N} to positive integers, i.e. $f:P([N]) \rightarrow Z^+$. I know that if S is a subset of S', $f(S) < f(S')$. Also, if S and S' have the same cardinality, the ordering in...
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vba, ms-access For Each ID In buttonIDs menu.Controls.Add msoControlButton, i Next Set menu = Nothing End Sub And, CreateFormDataSheetRowClipboardOnly could be written as : Private Sub CreateFormDataSheetRowClipboardOnly() CreateCommandBar "asd", bcCut, bcCopy, bcPaste End Sub
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java, javascript, css, jsp </script> <script src="https://code.jquery.com/ui/1.12.1/jquery-ui.min.js" integrity="sha256-VazP97ZCwtekAsvgPBSUwPFKdrwD3unUfSGVYrahUqU=" crossorigin="anonymous"> </script> <script src='https://cdnjs.cloudflare.com/ajax/libs/math...
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the rectangular base with dimensions of 30 cm and 50 cm, the height is cm! World C # ( CSharp ) examples of parallelepiped and tetrahedron when the values of all the four vertices height... # ( CSharp ) examples of parallelepiped and tetrahedron when the values of all the vertices... Year Papers, 5 value of the scalar ...
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general-relativity Vectors are geometrical objects, so they do not change under coordinate transformations. The Killing vector is a Killing vector in any coordinates, because it is defined in a coordinate free manner. However, it's components do change, as with any other vector. For example, $(1,0,0,0)$ are the compon...
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group-theory In this case, $E$ and $A$ are block-diagonal, but the other matrices $B$, $C$, $D$, and $F$ are not. You could find some change of basis such that one or more of the latter become diagonal. However, it's not possible to find a change of basis which simultaneously diagonalises all six matrices. So, the rep...
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navigation, ros-melodic, move-base, amcl costmap_common params: obstacle_range: 2.5 raytrace_range: 3.0 robot radius: 0.5 map_topic: map subscribe_to_updates: true observation_sources: laser_scan_sensor laser_scan_sensor: {sensor_frame: base_link, data_type: LaserScan, topic: scan_multi, marking: true, clearing: true}...
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2. Originally Posted by razorfever If we assume that a person's weight depends on the energy consumed minus energy ued, one model is that weight changes in proportion to the difference, so: dw/dt = k(C - 38.5w) where w(0) = w subscript 0 where w(t) kg is the weight at t days, C is the daily calorie intake, and we ass...
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is only true (without an extra conversion factor) if the angle behind the angular acceleration $\alpha$ is measured in radians. To convert another number of degrees, simply enter it below and press "Degrees to Radians". Thank u Math. 28318 radians per second, and 3600 RPM = 377 radians per second. Here is one of the an...
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EXCELLENT!!!!! Melody  May 21, 2014 #8 +87294 0 HAHA!!!...and 57 minutes ago...you were looking for someone who knew what they were doing!!! (an arbitrator, I believe??) Are we "sure" our answers are correct?? (Actually....I think they might be) CPhill  May 21, 2014 #9 +92775 0 Yes I am sure. Because Two out of...
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general-relativity, spacetime, differential-geometry By now, it should be obvious to you that it should be possible to say that the space around us is a differentiable manifold. It seems perfectly accurate to describe it using $\mathbb{R}^3$ locally, as you have probably done in school. And that's also how manifolds e...
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electromagnetism, special-relativity, covariance, dipole-moment, multipole-expansion For simplicity, let us assume another IRF moving with velocity $\mathbf u = (u,0,0)$ relative to the dipole's rest frame, which shall be denoted with primed variables. Applying the LT, a four-current $(c\rho,\mathbf J)$ transforms as ...
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physical-chemistry, spectroscopy In your case J = 1+1 to 0 , which gives three values J = 2, 1 and 0 so three possible term symbols. There will also be singlet terms where the total spin S = 0. The triplet term means that electrons are in different orbitals, generally this lowers the energy, and also means that ther...
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c#, linq, collections { SetMisc(3, list[4].Latitude); SetMisc(4, list[4].Longitude); } CallWebService(); } } catch (Exception e) { LogTransactionException(transactionCode, e); throw; } } Branch Complexity
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c++, sfml ///////////////////////////////////////// Mysprite //////////////////////////////// class mySprite : public sf::Sprite { private: float velocity; float angle; public: // all the values needed by the base class sprite(); mySprite( const sf::Image& Img, const sf::Vector2f...
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Based on Tyma Gaidash’s answer, I went looking into the Lagrange inversion theorem. My engineering-oriented education never covered this, but I think I’ve grasped the basics of it. As I understand it, to solve $$y=f(x)$$ for $$x$$, we choose some $$z$$, such that $$f(z)$$ is defined and $$f'(z)\ne 0$$. Let’s shorten t...
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energy-metabolism Amino Acid + ATP → Aminoacyl-AMP + PPi And the first step in glycogen synthesis is the formation of UDP-glucose: Glucose 1-phosphate + UTP → UDP-glucose + PPi
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optics What creates the dispersion is the fact that the index of refraction depends on the frequency of the light $n = n(f)$. This also means that phase velocity (defined as $v = {c \over n}$) depends on the frequency. You don't see this in the image but you can imagine that in usual materials (e.g. glass) a wavefront...
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radiation, radioactivity, weak-interaction Obviously, there are many details. There are other forms of radioactivity (neutron emitters, proton emitters, .. ), and all interactions contribute to the precise rate of alpha, beta, and gamma decays. For example, since alphas are charged, the alpha decay rate is governed by...
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virus, virology, retrovirus, lentivirus Title: Since RNA viruses and retroviruses all have high mutation rates, why do only a few viruses have the virtue of variability? We have been taught that it's difficult to make vaccines to influenza, HIV and HCV because they lack the proofreading mechanism, hence have high muta...
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acid-base, equilibrium The strength of acids can be compared by looking at $\mathrm{p}K_\mathrm{a}$ values. The $\mathrm{p}K_\mathrm{a}$ of $\ce{H3O+}$ in water is -1.7 and the $\mathrm{p}K_\mathrm{a}$ of ethanol in water is 16. So you are correct that hydronium is a much stronger acid than ethanol - or equivalently, ...
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homework-and-exercises, forces, torque, gyroscopes, applied-physics A spinning gyroscope has an angular momentum vector $\vec L$ pointing along its axis, given by the right-hand rule. Gravity exerts a torque on the gyroscope, trying to rotate it around an axis perpendicular to its current axis, changing its angular mo...
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optics, visible-light, history, wavelength, vision Title: How were the RGB Color Matching Functions established from 380 to 436 nm? I have been reviewing how RGB color matching functions were formed, and I seem to be missing an aspect. The three primary monochrome lights used to generate a color like the target color...
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optics, visible-light, refraction, lenses You need to distinguish between virtual images and real images. Real images are formed if all (or at least many) light rays coming from one point of the object are focused into one point on the viewer side. In that case you can for instance put a screen/paper on the viewer sid...
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get is … Log On Algebra: Polynomials, rational expressions … Polynomials are easier to work with if you express them in their simplest form. Term: A term consists of numbers and variables combined with the multiplication operation, with the variables optionally having exponents. Algebra -> Polynomials-and-rational-...
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discrete-signals, dft, dct The DFT is widely used for general spectral analysis applications that find their way into a range of fields. It is also used as a building block for techniques that take advantage of properties of signals' frequency-domain representation, such as the overlap-save and overlap-add fast convol...
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ros2 Callbacks are functions that are called when a pre-define event happens in the computer. When you setup the callback you tell the computer what that event is. It could be an electrical signal on an input connector, and counter or clock signal reaching a preset value, or in the case of ROS a common use of callback...
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$$H(s)=\frac{1}{1 + \frac{s}{5}}$$ but the phase of the plot is inverted. The same rule holds Bode plots for 2nd order (complex conjugate) poles, and for 1st and 2nd order zeros. References Replace
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c# var handler = PropertyChanged; handler?.Invoke(this, new PropertyChangedEventArgs(propertyName)); } private void OnCollectionChanged() { OnPropertyChanged(); var handler = CollectionChanged; handler?.Invoke( this, new NotifyCol...
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angular-momentum, quantum-spin, group-theory, representation-theory $$ The two projector relations on the last line serve as checks of the above, but could determine the spin/quadratic Casimir of the adjoint, if you were oblivious of it!! Now repeat this for su(3), for normalized 8-vector generators $\vec F$ ($= \vec\...
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moveit, ros-kinetic, ur5 process[klaus/ur_hardware_interface/ur_robot_state_helper-7]: started with pid [16115] process[frank/robot_state_publisher-8]: started with pid [16131] [ INFO] [1575393061.457678690]: Waiting for controller manager service to come up on /klaus/controller_manager/switch_controller [ INFO] [1575...
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thermodynamics In summary, the rules are that the chemical potential must be zero if particle-number-changing interactions are possible, but not otherwise. That distinction often coincides with the massless or massive nature of the particles, but not always.
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c#, html, mvc, asp.net, authorization <input type="submit" value="@Resources.AssignRole" class="btn btn-default btn-sm" /> } </td> <td> @using (Html.BeginForm("UserRemoveRole", "Admin", new { ReturnUrl = ViewBag.ReturnUrl }, FormMethod.Get, new { @cla...
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Furthermore, $f$ is strictly convex on its domain, which means, in this case, if an iteration $x_n$ satisfies $x_n < x^*$, then it is easy to show that $x_n < x_{n+1} \leq x^*$. Furthermore, if $x_n>x^*$, and if $x_{n+1}$ lies in the domain of $f$, then $x_{n+1} \leq x^*$. So, the only real restriction on a starting p...
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python, programming-challenge Title: Optimizing code in codewars I was practicing python on codewars.com with this question: Create a function that takes a positive integer and returns the next bigger number that can be formed by rearranging its digits. For example: 12 ==> 21 513 ==> 531 2017 ==> 2071 But when I attem...
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python, performance, python-3.x, error-handling, beautifulsoup if story.type == 'wattpad': number_of_pages = int(input("How many pages are in the story: ")) + 1 # Iterates through the pages of the story for each_page in range(number_of_pages): if each_page: #Designed...
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formal-languages, computability, undecidability Now, if some one gives you a larger $L$ (yet finite), you will just write a longer program. This is always true, and any finite $L$ will have it's own program. The only "interesting" case is what happens when $L$ is infinite - your program cannot be infinite. The issue ...
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ros Title: hector_qrcode_detection I can't to start work with hector_qrcode_detection. I edited this launch file I only change this sector <remap from="openni/image" to="/image_raw" /> <remap from="openni/image_percept" to="worldmodel/image_percept" /> <remap from="openni/image/qrcode" to="image/...
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dark-matter, neutrinos in galaxies. You cannot imagine that the neutrinos would "pile up" over time because the vast majority of the mass that has ever been turned into stars is still in the form of stars today and the stars that have already lived and died are a tiny percentage of the required dark matter mass.
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python, html, css, generator return defn, '' def render_open_tag(definition, out): if definition.startswith(('.', '#')): _, class_or_id = extract_class_id(definition) render(f'<div {class_or_id}>', out) else: if definition == 'a' or definition.startswith(('a.', 'a#')): tag,...
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rosjava Originally posted by safzam on ROS Answers with karma: 111 on 2012-05-31 Post score: 1 See http://answers.ros.org/question/37198/rosjava-actionlib/ Originally posted by damonkohler with karma: 3838 on 2012-07-02 This answer was ACCEPTED on the original site Post score: 0
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gaia, tess Since the MAST portal currently provides TICv7, the Gaia ID is probably from Gaia DR1. The TIC release notes say Gaia DR2 data are new in TICv8. 9 GAIA The matched Gaia DR2 identifier has been updated in TICv8. Gaia IDs in TICv8 are included for stars that are found in the Gaia-provided Gaia-2MASS look...
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python, ros2, urdf, xacro Original comments Comment by gvdhoorn on 2021-09-08:\ Thanks to JafarAbdi's parameter_tools package, there's now a clean way to load xacro files with argument inputs. tbh, I would depending on a 3rd party package for something which seems like it should be core functionality not "a clean wa...
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performance, file, windows, assembly, x86 Title: Reading all file contents via x64 assembly I have come up with the following snippet by building upon the answers given to my StackOverflow question. Just trying to get some other eyeballs to review things so that they can point out any egregious mistakes that I probabl...
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rviz Title: rviz crash on macOS Sierra Hi, After lots of tweaks, I've finally made it to setup ROS Kinetic on my MacBook Air, with mac OS Sierra. Everything works fine except rviz. It crashes on startup. I tried with this command: rosrun rviz rviz -l
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quantum-mechanics, quantum-field-theory, operators, hilbert-space, second-quantization My understanding is that the ladder operators are applied to wavefunctions, while the creation and annihilation operators are applied to fields. And if I understand correctly from Wikipedia, in the context of QFT, a field is essenti...
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thermodynamics $$P(T_0,V,N)=\frac{Nk_bT_0}{V}$$Therefore,$$P(T_0,V,N)=\frac{Nk_bT_0}{V}=-\frac{Nk_{b}V_{0}T_0}{(a+1)V^2}-\frac{df}{dV}$$ Just integrate this ODE to get f(V) ADDENDUM From the previous equation, it follows that $$\frac{df}{dV}=-\frac{Nk_bT_0}{V}-\frac{Nk_{b}V_{0}T_0}{(a+1)V^2}$$ If I substitute this int...
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black-holes, topology, event-horizon, gauss-bonnet $$\hat{h}_{ab} = g_{ab} + \ell_a n_b + n_a \ell_b \ ,$$ where $\ell^a$ and $n^a$ is a pair of future-directed null vectors on the horizon. Is there a missing factor of 2 on the RHS of equation (1)? The (2-dimensional) Gauss-Bonnet theorem in the literature is usually...
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c++, game Map.cpp #include "Map.h" int Map::loadMap(std::string fileName) { namespace bpt = boost::property_tree; std::string data; bpt::ptree root; try { bpt::read_json(fileName, root); //pt::json_parser::json_parser_error } catch (bpt::json_parser::json_parser_error) { std:...
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ros, transform-broadcaster, transform Originally posted by robjime on ROS Answers with karma: 13 on 2011-11-22 Post score: 1 You can use tf::Transform directly (see tf/Overview/Data Types), it is just a btTransform from the bullet library. For instance, if you want to transform a single point, you can use the ()-oper...
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In sequences, order matters, and repetition matters. For example, $(1, 2) \not= (2, 1)$ and $(1, 2, 2) \not= (1, 2)$. Like sets, sequences can be infinite, such as the sequence of natural numbers $(1, 2, 3, \ldots)$. Finite sequences are usually called tuples. A sequence with $k$ elements is called a $k$-tuple. For ex...
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inorganic-chemistry, coordination-compounds, stereochemistry it may be -- depending on what you aim to highlight in molecular symmetry -- a permissible simplification. (A nice approach to train oneself recognizing symmetry in molecules is, beside using molecule kits, the set of pages around Symmetry@Otterbein.)
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c#, .net, generics, stack, queue public T[] ToArray() { T[] objArray = new T[_size]; int i = 0; while (i < _size) { objArray[i] = _array[_size - i - 1]; i++; } return objArray; } public stru...
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programming Title: Are there any quantum software startups? I am aware of the quantum hardware startup Rigetti and I wonder if there are any quantum startups that build software on top of current quantum computer hardware for commercial applications? Related question: Does a complete list of open quantum software proj...
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constant in the equation that models the family, to … Step 2: find the eigenvalues of A which are the roots of Δ ( t ) {\displaystyle \Delta (t)} . The way to do this is to pick a full basis B (e.g. onalization Theorem. tors as a basis for the eigenspace corresponding to eigenvalue 0. x4. The orthogonal trajectories to...
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roscpp Originally posted by joanpau on ROS Answers with karma: 191 on 2011-09-27 Post score: 1 As described in the API docs, you can use that argument to publish a message to only the newly connected subscriber. A normal ros::Publisher publishes to every subscriber. It can also tell you the name of the newly subscrib...
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genetics Title: Obvious phenotypic inheritance markers in humans In humans, are there phenotypic markers that prove parenthood? For example, if mother and father have <trait characteristic> (let's say, specific ear lobe form), then any child will have <trait characteristic>. If the child does not exhibit that characte...
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python, python-3.x, programming-challenge, palindrome Step-by-Step my code: 1- largest number of n-1 digit. For example, for n = 2, upper_limit is 99 2- One plus this number is lower limit which is product of two numbers. For example, for n = 2, lower_limit is 10. 3- calculating product of two n-digit numbers 4- calcu...
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c# /// <summary> /// A method that checks if this Pin is /// equal to another object. /// </summary> /// <param name="obj"> /// The object to compare for equality with /// this Pin. /// </param> /// <returns> /// TRUE if this Pin and the specified object /// are equal, FALSE ot...
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12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science C...
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c#, performance, beginner, array, .net-core Title: Car Showroom Database: Taking user inputs and manipulating arrays I've been learning C# for around 2 weeks and I'm feeling a bit more confident. I wrote this for general practice and am quite proud but hoping to make it faster and more efficient as I progress and lear...
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reaction-mechanism Title: Can Michaelis-Menten constant be zero in the Michaelis-Menten Equation, or is this a non-zero constant? Can Michaelis-Menten constant be zero in the Michaelis-Menten Equation, or is this a non-zero constant? I am applying the equation in epidemiology so I wanted to assume that it is zero but ...
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speed-of-light, speed, biophysics Title: Top speed for a human What is the fastest that a human being of average weight could possibly travel, and what is the most widely held theory for how this might be achieved (assuming this person is impervious to all forms of speed-induced death)? There is no limit to the veloci...
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the other way! This implies any discontinuity of fis a jump and there are at most a countable number. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. For a function to have an inverse, the fun...
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thermodynamics, magnetic-fields, reflection, induction, infrared-radiation The problem with this idea is that tungsten is paramagnetic so it will absorb some of the energy from the coil. How can I compute whether using a tungsten cylinder reflector would have a net benefit without doing an actual experiment? After doi...
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Grapher™ - great and very powerful scientific graphing calculator. Base Classes for 3D Graphics Objects and Plotting; Basic objects such as Sphere, Box, Cone, etc. 3D Grapher is a feature-rich yet easy-to-use data visualization and graph plotting software suitable for students, engineers and everybody who needs to work...
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statistical-mechanics, correlation-functions, ising-model Letting the Metropolis Monte Carlo work until the system is in equilibrium (checking this by running two different initial states with different random seeds). Then I start sweeping through the lattice, updating the energies and magnetization for each attempt a...
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electromagnetism, electromagnetic-radiation, reflection There is another factor that determines how transparent objects are, also related to $\bar n$. The reflectance (ratio of power reflected to power incident) for a wave normally incident (from vacuum) onto a material with a smooth surface and refractive index $\bar...
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c++, linked-list, iterator else { Node* temp_tail = m_tail; for (size_type index{ 0 }; index < count; ++index) { temp_tail->next = new Node(value); temp_tail = temp_tail->next; } m_tail = temp_tail; ...
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solid-state-chemistry, ionic-compounds Title: Are there any ionic amorphous solids? This question on NaCl crystalization actually got me wondering: are there any ionic amorphous solids? Like ionic crystals are crystalline materials of electrostatically-attracted ions, can ions form an amorphous phase? I can see no rea...
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fluid-dynamics, waves, navier-stokes Like any other order of magnitude analysis, you have to non-dimensionalize your equation. This means you have to pick meaningful and relevant scales for each variable such that all of the variables become the same order of magnitude. For example, to non-dimensionalize the left-hand...
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fourier-transform, continuous-signals, fourier-series, periodic When multiplied by $e^{-j\omega T}$ one obtains contributions $$e^{-j\omega T}\delta\left(\omega-\frac{2\pi k}{T}\right)= e^{-j2\pi k}\delta\left(\omega-\frac{2\pi k}{T}\right)\tag{2}$$ because for any $f(\omega)$ that is continuous at $\omega_k$ we have ...
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Automorphism group contains S_m, and usually equal to it, though with a couple of exceptions -- trivial for m=2, a bit more interesting for m=4. We'll use this to study the structure of S_m later in the course.
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used to analyze non-periodic waveforms or non-recurring signals, such as lightning bolts. The theorem was developed by the French mathematician J. 4-1 provides the trigonometric Fourier series for several frequently encountered waveforms. - It consists of four hermetically sealed diodes interconnected and encapsulated ...
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