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• That's it! I forgot about the sum of arithmetic progressions. Thank you. – Bruno Henrique Sep 24 '16 at 0:59 • You are welcome. Do see the edit. I am very pleased to see questions like this, it leads to an outpouring from my side. – астон вілла олоф мэллбэрг Sep 24 '16 at 1:03 • Wow, that's actually a great insight. ...
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c++, performance, base64 int first_index; if(first_iter == DecodingTable.end()) { first_index = decoding_buffer[0]; } else { first_index = (*first_iter).second; } int second_index; if(second_iter == DecodingTable.end()) { second_index = decoding_buffer[1]; } else { ...
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algorithms, complexity-theory, terminology Generally, mathematics and logic define equality as (some form of) extensional equivalence; for instance, the Zermelo-Fraenkel set theory includes some form of the following axiom: $$ \forall x \forall y [\forall z (z \in x \Leftrightarrow z \in y) \Rightarrow x = y] $$ Since...
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# 1 A simple differential equation The examples in this section show how a single ordinary differential equation can be solved with wasora. Indeed this is one of its main features, namely the ability to solve systems of differential-algebraic equations written as natural algebraic expressions. In particular, the equat...
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$$x = w \\ y = 0.$$ Here the key thing is that the chosen $x = w$ (remember that $w$ is the given element) is an element of $W_1$ and $y = 0$ is the zero element from $W_2$. Remember that all vector spaces (and so all subspaces) contain $0$, so indeed choosing $y = 0$ will give $y\in W_2$.
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php, sql, database, laravel $search_terms = SearchTerm::with("manufacturer")->where('term', "like", '%' . request("search") . '%')->get()->unique("manufacturers"); if($search_terms->isNotEmpty()) { echo "Search term match!"; foreach ($search_terms as $search_term) { $sea...
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that a positive definite matrix from,. Positive show a matrix is positive definite positive matrices is a subset of all non-negative matrices conversely, inner! Use chol on the matrix a is positive definite: if it was not, then there must be non-zero... Property that all their eigenvalues are positive implement the rma...
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ros Of course, my_folder_msgs.msg exists and appears when I call: rosmsg list. Would anyone have an idea? Originally posted by pibauer on ROS Answers with karma: 21 on 2017-09-27 Post score: 2 Original comments Comment by Nico__ on 2017-09-27: Hi, Make sure you got the "#!/usr/bin/env python" line at top of your py...
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quantum-mechanics, experimental-physics, quantum-tunneling, microscopy Title: What do you see in 'A Boy and His Atom' A boy and his atom is a short movie by IBM animated by actually moving atoms around and using a scanning tunneling microscope to display the result. When I first saw this picture I was fascinated becau...
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performance, programming-challenge, ruby, time-limit-exceeded end def find_path _jump(_read) end end nite = Nite.new puts nite.find_path I suspect of course that the _adjacencify method is super time consuming, and that some loops are way too time consuming. I failed the <1.00s time requirement in order to...
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ros In general, the answer I posted here may help at little. More specifically, I've never used ARIA, but from the ROSARIA wiki page I would surmise that most of your work will be done in ROS, with only a little bit of interfacing with ARIA. It looks like ARIA is a pretty thin package that just serves as a bridge to y...
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c#, game, winforms, chess class GhostPawn : Piece { public GhostPawn(Player player, Pawn referencedPawn) : base(player) { LinkedPawn = referencedPawn; } public Pawn LinkedPawn { get; } public override bool CanMove(Board board, Coords startCoords, Coords endCoord...
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molecular-genetics, genomics, embryology Title: Regulation of the replication of mtDNA at embryonic level While reading an article on mitochondrial inheritance I came across this link. The results state that mitochondrial DNA replication is regulated in different cells of an embryo at different levels. How is this reg...
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the length of a meter stick to 1 mm, of a bridge 1000 meters long to 1 meter, and the distance to the sun (93 million miles) to no better than 93,000 miles. In ladder problems, it is easier to use the perpendicular distance (r⊥) to find the torque. If the piston moves with simple harmonic motion with an angular frequen...
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c++, parsing, xml XmlReader::node XmlReader::getElementByTagName(std::string strTagName) { XmlReader::node node; XmlReader::pNode parentNode; XmlReader::cNode childNode; std::string strInnerText; std::string strAttributeName; std::string strAttributeValue; std::s...
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Taylor Series in Particular E. CHAPTER 38 Power Series In Problems 38. Finding Taylor Polynomials The TI-89 taylor( command can be used to find partial sums. The partial sum is called the nth-order Taylor polynomial for f centered at a. Taylor series is a way to representat a function as a sum of terms calculated based...
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space, velocity, kinematics Now for a human skydiving, there is really no limit. It's just the matter of drawing a line between a suit and a capsule; if the suit can provide arbitrary amount of air, shield from vacuum, dissipate extreme heat of passing through the atmosphere and so on, there is no limit. If it can't p...
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ros, rqt-image-view, ueye, ueye-cam Also, thank you for reporting the c++11 flag compile error; I eagerly upgraded to g++4.7, which supports c++11, and forgot to use the backward-compatible c++0x flag instead. Edit: the extended log (pastebin.com/Km2zVU0N) shows execution log from running master_slaves_rgb8.launch. In...
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physical-chemistry, solutions, phase, colligative-properties My doubts $\Delta T_\mathrm{f}$ is the absolute value of the difference of freezing point of pure solvent and the solution with the non volatile solute. Here, the freezing point of the solution is not $\pu{-4 ^\circ C}$. So how can we say $\Delta T_\mathrm{...
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c++ myFile << "Copies: " << All_DAGs[i].Node_config[j].number_Copies << std::endl; myFile << "Memory: " << All_DAGs[i].Node_config[j].memory << std::endl; myFile << "Work-Items: " << All_DAGs[i].Node_config[j].workItems << std::endl; myFile << "Work-Groups: " << All_DAGs...
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and linked references. Coifman Stefane Lafon, PJ, MM, RS, Fred Warner, Steve Zucker and many more Many thanks to the IPAM Staff and the Program Organizers!. Furthermore, an eigenvalue's geometric multiplicity cannot exceed its algebraic multiplicity. It is common to compute the eigenvalue from global quantities, but th...
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time-series, random-forest, xgboost Computing the features mannually from a past window allows your model to make decisions based on much more complex and problem-specific logic, but in order to the model to come up with "if the standard deviation from the last 9 values is greater than the minimum divided by 3" you ne...
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quantum-electrodynamics, fermions, conventions, antimatter, propagator Title: Sign of momentum in fermion propagator Thinking of a process like Compton scattering, where we have an electron as a propagator, I would typically write down the propagator as $$i \frac{\not q+m}{q^2-m^2}.$$ If I were to replace the electron...
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where $\beta_{0}=\int_{a}^{b}w(x)dx$ and $v_{k,1}$ is the first element of $\mathbf{v}_{k}$. Also, the error constant (3.5.20) is given by 3.5.33 $\gamma_{n}=\beta_{0}\beta_{1}\cdots\beta_{n}.$ Symbols: $\gamma_{n}$: coefficients Permalink: http://dlmf.nist.gov/3.5.E33 Encodings: TeX, pMML, png Tables 3.5.13.5.13 ca...
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electromagnetism, magnetostatics My book (Halliday and Resnick) derives the equation for the magnetic field created due to a moving point charge. However, after the derivation, it states that the result obtained is not really valid, since "a point charge cannot be assumed as a steady current by any stretch of imaginat...
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fluid-mechanics, statics, mathematics If I'm right and I can't use this expression to calculate an inlet velocity, does anyone know if there's an alternative? The reason I say I probably can't is that I've tried it and the results from the two codes don't match. I'm just trying to figure out where my problem is--if...
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java, array Title: Push an item onto the end of array in Java I want to make a method arrayIntPush(3, {5,4,8}) that will return {5,4,8,3}. This method seems to work: public static int[] arrayIntPush(int item, int[] oldArray) { int len = oldArray.length; int[] newArray = (int[]) Array.newInstance(oldArray.getCl...
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c#, performance, sql, multithreading, linq var sandpQuery = from c in sandp500Table select new StockData { Close = c.Close, Date = c.Date, High = c.High, Low = c.Low, Volume = c.Volume }; sandpInfo = sandpQuery.AsParallel().ToList(); // set the settings...
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electromagnetism, voltage, conventions, electromagnetic-induction I know you did not ask for this, but the best way to see it is math! Assume the coil rotates with constant angular speed $\omega$ so that $\theta(t)=\omega t$ and thus, according to your table $$\Phi = ABcos(\theta(t))=ABcos(\omega t)$$ Actually, the wa...
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orbitals Title: Does the octet rule only apply to the second and third shell or does it apply further? In my textbook, examples for the octet rule are only given for up to the third shell. What about the fourth and fifth shell? I still get confused over the fact that the $n=3$ shell has 18 electrons yet for chemical p...
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object-oriented, swift // Class methods re-use the values in meeting. // Could instead use instance variables to hold intermediate values. meeting.parsedHostCodes = parseHostCode() meeting.parsedPasscodes = parseParticipantCode() meeting.parsedPhoneNumbers = parsePhoneNumber() m...
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The converse is obvious. If the roots are positive reals, then the discriminant is positive, and the signs alternate. Staff - 3 years, 9 months ago For the quadratic equation, 2 conditions arise- If $$a>0$$, then $$c>0$$ and $$b^{2} - 4ac>0$$. Also, $$\dfrac{-b}{2a}>0$$ which means that $$b<0$$ If $$a<0$$, then $$c...
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machine-learning, data-mining, predictive-modeling Ensembles average out a number of these models. The bias due to sampling bias will not be fixed for obvious reasons, it can fix some of the model complexity bias, however the variance mistakes that are made are very different over your different models. Especially low...
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c++, c++11 std is sacrosanct This is illegal: namespace std { template <std::size_t I, typename D, typename... Ts> auto get(Relations<D, Ts...>& r) -> typename std::tuple_element<I, std::tuple<Ts...>>::type&; }
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c#, programming-challenge, unit-testing that the second rover won't start to move until the first one has finished moving. Output: The output for each rover should be its final co-ordinates and heading. Plateau max X and Y, Starting coordinates, direction and path for two rovers: 5 5 1 2 N LMLMLMLMM 3 3 E ...
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python, python-3.x, web-scraping, beautifulsoup You will notice I left out row-fluid container from the selector, as we are iterating only over the span5 elements that are contained within them, however if you wanted to keep that it, you can chain the CSS selector as such: soup.select(".row-fluid .span5 b"). If there ...
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# Secant Line: finding the slope for different values of x The point $P(4, 24)$ lies on the curve $y = x^2 + x + 4$. If $Q$ is the point $(x, x^2 + x + 4 )$, find the slope of the secant line $PQ$ for the following values of $x$. If $x= 4.1$, the slope of $PQ$ is: and if $x= 4.01$, the slope of $PQ$ is: and if $x= ...
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ros, motoman-driver, motoman Just to double check, from what I see, I guess the indigo branch has the best support for the SDA10f. So I will go ahead using ROS Indigo? Comment by gvdhoorn on 2016-12-14: For the SDA10 there shouldn't be too much difference between Jade and Indigo, but Indigo is probably a good idea, ye...
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java, unit-testing, android public TraktamenteBuilder withStartTime(String tartTime) { this.startTime = startTime; return this; } public TraktamenteBuilder withEgetBoendeState() { this.switchEgetBoendeState = true; return this; } // make them expressive - much better t...
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# Find all functions $f:\mathbb{R} \mapsto \mathbb{R}$ which satisfy $f(x^2+y f(z)) =x f(x) + z f(y)$ QUESTION : Find all functions $f:\mathbb{R} \mapsto \mathbb{R}$ which satisfy $f(x^2+y f(z)) =x f(x) + z f(y)$ My doubt lies in the part where I've shown injectivity. Kindly check if my proof is correct. The solutio...
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crystal-structure, cheminformatics e.g.,: obabel SnS.cif -oVASP --fillUC >POSCAR Result is: Herzenbergite 1.000 4.330000000000000 0.000000000000000 0.000000000000000 0.000000000000001 11.180000000000000 0.000000000000000 0.000000000000000 0.000000000000000 3.980000000000000 Sn S Sn S 1 1...
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c, strings, formatting, io Title: Replacing spaces with tabs. Exercise 1-21 in "The C Programming Language" I'm looking for feedback on the code I came up with for exercise 1-21 in "The C Programming Language" by K&R. Write a program entab that replaces strings of blanks with the minimum number of tabs and blanks to ...
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general-relativity, ads-cft Title: Gravity Hamiltonian in $AdS$ Consider the global $AdS_{d+1}$ metric given by $$ds^2 = \frac{1}{cos^2 \rho}[-dt^2 + d\rho^2 + sin^2 \rho d\Omega_{d-1}^2]$$ Now we follow the statements as made in Page 4 of this paper. Here one now looks at quantum gravity in asymptotically $AdS$ space...
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Therefore, the period of $\sin(ax+b)$ with respect to x is $\dfrac{2π}{a}$. ## Exercise Set 3.14 1. The periods of sine and cosine with respect to their arguments is 2π. Use the reasoning illustrated in this section to determine the period of each of the following with respect to x. Explain your reasoning. Check your...
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# Any integer = a_0 * 2^n + a_1 * 2^(n – 1) + a_2 * 2^(n – 2) + + a_n 1. Jul 2, 2014 ### s3a 1. The problem statement, all variables and given/known data Problem: Prove that every positive integer P can be expressed uniquely in the form P = a_0 * 2^n + a_1 * 2^(n – 1) + a_2 * 2^(n – 2) + . . . + a_n where the coeffi...
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spectroscopy Absorption is a relative measurement as it is the difference in two large numbers, one the light intensity with no sample $I_0$ and the other when the sample is present I. In terms of photons these intensities are huge, say $I_0=10^6$ and a 1% change would reduce the number of photons to $10^6-10^4$; stil...
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# Showing that (yet another) sequence is a cauchy sequence We work in the metric space $(\mathbb{R}, d_E)$ where $d_E$ is the usual (euclidian) metric. In a certain proof, there is stated: $\forall p,q \in \mathbb{N}:\quad(p < q \implies |a_p - a_q| \leq 2^{-p}$) hence $(a_n)_n$ is a cauchy sequence. How does this ...
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python, python-3.x, strings, parsing def _parse_leaf(file_path : str): """ Split the file path using \\ and returns the last element. Args: file_path - see parse_file_path function. Returns: the last element of the file path, in this case the filename with extension. """ del...
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quantum-mechanics, quantum-interpretations Sometimes the $\psi$-epistemic option is loosely described as "the quantum state represents knowledge," or something like that, but that's not a useful definition. Of course the state represents knowledge. Even in deterministic classical physics, when we choose an initial sta...
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type-theory, functional-programming, type-checking, language-design In the place where the Pair alias is transparent, use those constants. You aren't using any kind of abstraction, so you're still using existing type system. In the place where the Pair alias is hidden, forbid the use of those constants. You've effect...
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scheme Let's take a step back and critique this from a higher level. I confess I'm not happy with the whole business of reading more than 3 million characters and examining each one to see "is this EOF?", "is this one EOF?". Surely scheme offers a POSIX bulk read primitive? Something like with-input-from-file, and the...
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c#, image // processing stuff /// <summary> /// The size of each emoji. /// Emojis are often called "chunks". /// </summary> private const int CHUNK_SIZE = 64; // 64 by 64 pixels /// <summary> /// Wether this class is processing a image or not. /// </summary> public static bool Is...
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so we define exp(x) to be a function such that exp(x+y)=exp(x)*exp(y) this property does not define a unique function there are an infinite number of both nice and non nice functions having this property there are several ways of picking out one in particular the classical exponential (the "nice" one for which exp(1)=e...
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neural-networks, deep-learning, convolutional-neural-networks, definitions, implementation (2) Yes, each layer actually has $30$ filters, a total of $10$ for each of the R, G, B channels. The layer just sums the results of the R, G, B channels to produce a single feature map. For the second part, if I got it right it'...
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ros2 Title: Why do I kept getting KeyError:'TURTLEBOT_MODEL' every time I run the teleop command? I am trying to do a simple simulation of the Turtlebot3 and I'm currently using ROS2 Foxy. I tried to run this command in the other terminal ros2 run turtlebot3_teleop teleop_keyboard but it returns this error File "/us...
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scikit-learn, xgboost, api Title: Any advantage of sklearn wrappers for xgboost over python API? Are there any advantages of using the XGBoost sklearn wrappers XGBRegressor or XGBClassifier over using the Python API with the train method? Is one faster than the other or does one use less memory than the other? I am as...
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python, beginner, python-3.x, game, adventure-game ('civilian', '+++')), change_tide(15))) choices.append('vengeance: strategic') change_tide(15) print('{}\n\n{}'.format(revenge_win_infiltrate, win_loss()))
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- 2 years, 3 months ago I'm missing quite a few steps in your logic.... What are $$g(x)$$ and $$k$$? - 2 years, 3 months ago $$g(x)$$ is an unknown function which satisfies $$g(x)=a g^2\left(\dfrac{kx}{a}\right) - 1$$. If we substitute $$y=a\cdot g(x)$$ in $$f_{n}(y)=\underbrace{\sqrt{a+\sqrt{a+\ldots+\sqrt{a+y}}}}_...
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cryptography This symmetry between public keys and private keys does not extend to most other public-key cryptosystems. In general, the public key isn't the right type of mathematical object to use for the decryption algorithm, and the private key isn't the right type of mathematical object to use for the encryption a...
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Note: 1-method: $$y=\ln x, 1\le x \le 4, 0\le y\le \ln 4.$$ $$\int_{x=1}^{x=4} \ln x \, dx =4\ln 4 -3.$$ 2-method: $$x=e^y, 0\le y\le \ln 4, 1\le x \le 4.$$ $$\int_{y=0}^{y=\ln 4} 4-e^y \, dy=4\ln 4-3.$$ The problem with $\displaystyle \int_1^4 e^y\,dy$ is that the bounds are wrong. It should be $\displaystyle \int_...
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python, python-3.x, strings [["key"]] would be the same as data[data["key"]] in Python, and [foo] would be the same as data[data.foo] rather than data["foo"]. I would like a review of any or all of my code. However changes that reduce version compatibility are generally unhelpful. import dataclasses from typing impor...
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problems by using functions that call themselves from within their own code. Recursive solution to count substrings with same first and last characters; All possible binary numbers of length n with equal sum in both halves; Combinations in a String of Digits; Count consonants in a string (Iterative and recursive method...
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java Here is my Question class: package game2; import java.util.Random; import java.util.Scanner;
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distances, milky-way, astrometry, galactic-halo $$n\approx\frac{3.3\times10^9\;\text{stars}}{\frac{4\pi}{3}(100\;\text{kpc})^3}\approx7.9\times10^{-7}\;\text{pc}^{-3}$$ and a mean inter-star distance of $l\approx n^{-1/3}\approx108\;\text{pc}$. So my back-of-the-envelope result differs from yours by only a factor of 3...
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thermodynamics, special-relativity, mass-energy Yes, there is a contradiction, but not between $E=mc^2$ and thermodynamics. The contradiction is between the actual meaning of $E=mc^2$ and its usual pop-science description. Unfortunately, although $E=mc^2$ is very famous, it is also very misunderstood. The usual Englis...
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objective-c, ios #import "Numberpad.h" #pragma mark - Private methods @interface Numberpad () @property (nonatomic, weak) id<UITextInput> targetTextInput; @end #pragma mark - Numberpad Implementation @implementation Numberpad @synthesize targetTextInput; #pragma mark - Singleton method + (Numberpad *)defaultN...
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# In how many ways can $n$ dogs and $k$ cats be arranged in a row so that no two cats are adjacent? There are $$n$$ dogs and $$k$$ cats. In how many ways can we arrange them in a row so there are no $$2$$ cats are adjacent? I thought about trying to calculate the number of possibilities without any constraints and su...
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ros-melodic Original comments Comment by Choco93 on 2020-02-25: Are you providing odom topic? If I remember correctly it waits for odom to appear. Comment by pavel92 on 2020-02-26: can you please update your question with the full output of rostopic list. Also what is the name of the node where you are creating the ac...
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robotic-arm, navigation, armhf, map-server, move-base UPDATE To fix this problem, I had to edit the CMakeLists.txt file in the costmap_2d package. I added "set(ROS_BUILD_TYPE debug)" and recompiled it. Move_base now got to the point of asking for the "tf" from /base_link to /map. Unfortunately, after I sent a static t...
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python, performance, python-3.x, comparative-review, numpy Title: process data with numpy seems rather slow than pure python? In my opinion, Vectorization operation with numpy should be much faster than use for in pure python. I write two function to get and process data in a csv file, one in numpy and another in pure...
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quantum-mechanics, wavefunction, quantum-entanglement, wavefunction-collapse one of the electrons to be at $\vec r_a=\vec r_1$, then you collapse the state of the system in such a way that, were you to measure the position of the second electron shortly after the first one, probability density to get the second electr...
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haskell, tree, binary-search This defines the "interface" of Tree in a class and then uses data types to implement said "interface". Errors In Expected Circumstances When you call tMax or tMin respectively on an ETree (which would be better named as Empty) an error is raised. That's an IMO really ugly and declarative...
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python, elasticsearch def string_to_query(s): s = s.lower() tokens = [' '.join(t.split()) for t in s.split('or')] or_terms = [] while tokens: leaf = tokens.pop() and_terms = leaf.split('and') if len(and_terms) < 2: term = and_terms[0] or_terms.extend([ ...
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botany Donohue K., Dorn L., Griffith C., Kim E., Aguilera A., Polisetty C. R., Schmitt J. Environmental and genetic influences on the germination of Arabidopsis thaliana in the field. Evolution. 2005;596(1):740–757. This paper gives a good review of Seed Dormancy and Germination in Arabidopsis from a few years ago: ht...
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java, javafx /** * Return hour */ public int getHour() { return hour; } /** * Set a new hour */ public void setHour(int hour) { this.hour = hour; paintClock(); } /** * Return minute */ public int getMinute() { return minute; } ...
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Similarly, $$\lim_{y\to 0}\frac{x^2y^2}{x^2y^2+(x-y)^2}$$ is limit along line $$y=0$$. And the last limit you calculated is along line $$y=x$$. So to answer your question, yes it would have been perfectly acceptable if you did not calculate limit along $$y=0$$. Just showing two examples where the limit comes out to b...
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neural-networks, machine-learning, convolutional-neural-networks, tensorflow, keras c) Why is there an axis of 1 at the start? My understanding of Conv layers is that they're simply made up from the number of filters/kernels (with shape-height, width, depth) to apply to the input. The first dimension in keras is used...
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php, locking, wordpress ... if (isset(self::$FIELD_TYPES[$type])) { $activity_value->$type = $new_count; } Update Since each AJAX call sends a single counter's value, you're losing updates when two readers view the same story. To fix this, denormalize the counter table: create table wp_activity_value ( post_...
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star, galaxy, distances, gravitational-lensing, quasars So what then is going on usually with examples of gravity lensing? I find it hard to believe the captions that say a galaxy is enabling seeing more distant stars. I would think one could only apply that concept to a star or galaxy to see something much further aw...
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ros, messages Title: ROS Message details Hi All, I want to know from where can I get the detailed information about the ROS messages. I know the use of rosmsg, but I want more information such as what exactly they communicate, in which packages are they included etc. I want to make use of messages in programming. So ...
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electromagnetism, electricity, magnetic-fields, electrons On the other hand, if you had bigger contact, lets say a metal plate that fills the first half of the tube, and put the purple cable where in your picture the electron hits the tube, then most of the electrons will go througth this cable. But this is more beca...
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javascript, animation, timer, audio function getFunctionToShowElements(elements, callback, currentIndex) { var i = typeof currentIndex == "undefined" ? 0 : currentIndex; if (i === elements.length) { return function () { callback(); }; } else { var nextM...
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java, game, android, template You could achieve the same thing with a break statement to get rid of an extra variable while (true) { // or for(;;) try { _thread.join(); break; } catch (InterruptedException e) { // we will try it again and again... } } or defining the logic in a m...
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python, tone-generation time1 = np.linspace(0, capture_size1 * timestep1, capture_size1) To the following: time1 = np.linspace(0, capture_size1 * timestep1, capture_size1, endpoint=false) You will see correct results. Your original time instances is not what you intend because Python will create 2048 equally spaced...
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c++, beginner, algorithm, programming-challenge, c++17 Title: LeetCode 310: Minimum Height Trees Posting my code for a LeetCode problem, if you'd like to review, please do so. Thank you for your time! Problem For an undirected graph with tree characteristics, we can choose any node as the root. The result graph is the...
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beginner, rust Ok, I assume you tried putting the value assigned to time directly in the expression, but were unable to resolve the resulting error message. The problem is that expression has the type [&str; 4], an array. But you want a slice: &[&str] instead. There a few ways to resolve this: Firstly, you can specify...
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optics, interference, interferometry Title: Mach Zehnder classical output $E_{0}$ is input to the first beam splitter and the output from the first beam splitter: $|E_{0}|^2=|E_{1}|^2+|E_{2}|^2$ $E_{1} = \frac{E_{0}}{\sqrt{2}}\;sin( \omega t - kx)$ $E_{2} = \frac{E_{0}}{\sqrt{2}}\;sin( \omega t - kx + \varphi)$ Both b...
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inorganic-chemistry, nomenclature [edited]For borates, ortho-acid is almost always "boric acid" (rarely - "orthoboric acid"), and meta-acid is always "metaboric acid". So, (ortho)boric acid = H3BO3, metaboric acid = HBO2. Phosphoric acid = H3PO4. It's very unlikely to meet name "orthophosphoric", because you have no ...
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A different solution is the following 'lazy exponential' - there are easier solutions (maybe look up bump functions), but I like delay ODEs. set \begin{align}x\in(-\infty,0]&\implies f(x):=1,\\ x\in(0,1] &\implies f(x) := 1+x, \\ x\in (1,2] &\implies f(x) := 1+x + \frac{(x-1)^2}{2!},\\ x\in(2,3] & \implies f(x) := 1+x ...
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performance, datetime, bash, logging, sed first_date=$(date --date='1 fortnight ago' +%Y-%m-%d) last_date=$(date --date='1 day ago' +%Y-%m-%d) # Processing the log file in reverse chronological order, # extract the date as YYYY-MM-DD, if it is between # $first_date and $last_date, inclusive. # # Then, present the hit...
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c++, parsing, json, lex, yacc Given a list of alternatives like: production : | Alternative1 | Alternative2 I prefer to add a semicolon to signal the end of the list: production : | Alternative1 | Alternative2 ; This is at a large scale, and may even be out of...
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heat-transfer, radiation, thermal-radiation Physicist Max Planck became world famous about 120 years ago by inventing the physical laws behind how the thermal radiation (=generated by the random thermal motion in materials) depends on the temperature - before him the phenomenon was known only experimentally, but it wa...
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frequency, dimensional-analysis, rotation, angular-velocity, si-units One final issue is that units are used for communication. While mathematically the substitution $\mathrm{J} = \mathrm{kg\ m^2\ s^{-2}} = \mathrm{N\ m}$ is valid, readers will find it jarring to read a torque written in $\mathrm{J}$. It will impede c...
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ros, rosbag, rosjava, logging Original comments Comment by Chad Rockey on 2011-11-25: Added bug ticket for rosjava, pending confirmation: http://code.google.com/p/rosjava/issues/detail?id=71 Comment by Chad Rockey on 2011-11-25: Oops, just noticed that it looks like rosjava isn't providing the right connection informa...
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This allows the conclusion that $\gcd(x^3+1,x^2+x+1)=1$ • $\gcd(a,b)=\gcd(a,b-ca)$ because $\gcd(a,b)$ divides $a$ (and hence $ca$ and $b$ and so it divides $b-ca$ as well? Correct reasoning? – Swapnil Rustagi Dec 2 '14 at 15:11 • Yes. $x|a$ and $x|b$ if and only if $x|a$ and $x|b-ca$. So pair $(a,b)$ has the same set...
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organic-chemistry Cycloocta-1,3,5-triene Honestly, I expected the delocalization to be retained in the central conjugated section (albeit not perfectly flat) with some twisting on the outer double bonds. Indeed, the dihedral angle around that central C=C is ~6.9°, but it's not that different around the other CC=CC bon...
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quantum-mechanics, angular-momentum, quantum-spin, group-theory One interesting point is that the observables we construct by choosing different phases for different matrix elements of ladder operators, i.e. $\phi(0) \neq \phi(-1)$, can't be written as linear combination of the standard operators (even with complex co...
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javascript and modify the create grid function to take the name of the draw function as well as the size. Also move the clear grid function into this function. The end result Putting it all together we get it all done in about half the code. const drawing = { colorful(e) { e.target.style.background = (Math...
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computer-networks Title: IP addresses and Subdomains? If a school has an IP that's like 10.0.x.x, and a department in that school has it's own site that's an extension of the school's site, does that department's IP just change the last two numbers in the IP? Does the school have to purchase extra domain space? Could...
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histology, tissue Title: Is epimysium same as fascia? I have read that epimysium is dense regular connective tissue made covering the a muscle like bicep brachi. at the same time we have fascia that is made of dense regular tissue and covers muscles. so are they same or different how can we describe it and differentia...
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