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The idea of a digital pill that records when it has been consumed is a sound one, but as the FDA notes, there is no evidence to say it actually increases the likelihood patients that have a history of inconsistent consumption will follow their prescribed course of treatment. There is also a very strange irony in schizo...
CommonCrawl
An algebraically completely integrable Hamiltonian system defined on the cotangent bundle to the moduli space of stable vector bundles (of fixed rank and degree; cf. also Vector bundle) over a given Riemann surface $X$ of genus $g\geq2$. Hitchin's definition of the system [a9] greatly enhanced the theory of spectral cu...
CommonCrawl
There are $n$ pupils in a school, numbered $1,2,\ldots,n$. There will soon be a dance event where the pupils will form $n/2$ pairs. Justiina has planned the event and created a list of dance pairs. The list consists of $n/2$ pairs, and each pupil belongs to exactly one pair. However, Kotivalo has made a little prank an...
CommonCrawl
Abstract : We consider autonomous robots that are endowed with motion actuators and visibility sensors. The robots we consider are weak, i.e., they are anonymous, uniform, unable to explicitly communicate, and oblivious (they do not remember any of their past actions). In this paper, we propose an optimal (w.r.t. the n...
CommonCrawl
The volume of a Riemannian metric on the projective plane is $2\pi$ and length of every non-contractible loop is greater than $\pi - \epsilon$ for some small, positive number $\epsilon$. Is this metric close to the canonical metric? The question is somewhat vague on purpose. I'm mostly interested in the best constant f...
CommonCrawl
This page illustrates how to use Python to perform a simple but complete analysis: retrieve data, do some computations based on it, and visualise the results. Don't worry if you don't understand everything on this page! Its purpose is to give you an example of things you can do and how to go about doing them - you are ...
CommonCrawl
Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in $\mathbb R^3$ as the sum of the area integral and a non homogeneous term of suitable form. Here we consider the case of a class of non homogenous terms vanishing at infinity for which the correspondi...
CommonCrawl
Abstract: Quantum electrodynamics and electroweak corrections are important ingredients for many theoretical predictions at the LHC. This paper documents APFEL, a new PDF evolution package that allows for the first time to perform DGLAP evolution up to NNLO in QCD and to LO in QED, in the variable-flavor-number scheme ...
CommonCrawl
Paper summary fartash Table 4, 5, with only $.5\%$ of the pixels, you can get to $90\%$ missclassification, and it is a blackbox attack. #### LocSearchAdv Algorithm For $R$ rounds, at each round find $t$ top pixels that if you were to perturb them without bounds they could affect the classification the most. Then pertu...
CommonCrawl
Abstract : Consider a regular triangulation of the convex-hull $P$ of a set $\mathcal A$ of $n$ points in $\mathbb R^d$, and a real matrix $C$ of size $d \times n$. A version of Viro's method allows to construct from these data an unmixed polynomial system with support $\mathcal A$ and coefficient matrix $C$ whose numb...
CommonCrawl
Abstract: We study the predictions of holographic QCD for various observable four-point quark flavour current-current correlators. The dual 5-dimensional bulk theory we consider is a $SU(3)_L \times SU(3)_R$ Yang Mills theory in a slice of $AdS_5$ spacetime with boundaries. Particular UV and IR boundary conditions enco...
CommonCrawl
Abstract: Given a 0-1 integer programming problem, several authors have introduced sequential relaxation techniques --- based on linear and/or semidefinite programming --- that generate the convex hull of integer points in at most $n$ steps. In this paper, we introduce a sequential relaxation technique, which is based ...
CommonCrawl
Let $\mathscr L (\phi(\mathbf x), \partial \phi(\mathbf x))$ denote the Lagrangian density of field $\phi(\mathbf x)$. Then then actual value of the field $\phi(\mathbf x)$ can be computed from the principle of least action. In case of motion of particles, I know that principle of least action comes from Newton's secon...
CommonCrawl
The dynamics of a quantum system with a large number $N$ of identical bosonic particles interacting by means of weak two-body potentials can be simplified by using mean-field equations in which all interactions to any one body have been replaced with an average or effective interaction in the mean-field limit $N \right...
CommonCrawl
What would be the way to generate them on a personalized dataset? I think (not sure ) it can be done using the V1 cmap technique, and get the dimensions from the cmap region or its done using Image Segmentation? In short, the following 4 parameters (x1, y1, x2, y2) is what we are training for and trying to predict for ...
CommonCrawl
While the traditional form of continued fractions is well-documented, a new form, designed to approximate real numbers between 1 and 2, is less well-studied. This report first describes prior research into the new form, describing the form and giving an algorithm for generating approximations for a given real number. I...
CommonCrawl
Graduated in physics in 2006 in Craiova, Romania. The Craiova school of theoretical physics has a strong reputation in the theory of BRST symmetry following in the footsteps of Marc Henneaux's team from Brussels. 6 Is the Maxwell Stress Tensor Coordinate Dependent? 5 How do I construct the $SU(2)$ representation of the...
CommonCrawl
Marek and his schoolmates have just finished their studies at the university. They wanted to celebrate it with a game of paintball. After an hour of playing a very strange thing happened – everyone had exactly one bullet left. Marek, being a very curious person, wanted to know whether it's possible that everyone will b...
CommonCrawl
The product rule for radicals tells us that $\sqrt[n] a\times\sqrt[n] b=\sqrt[n] ab$ (when $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $n$ is a natural number). That is, the product of two nth roots is the nth root of the product. Therefore, $\sqrt 14\times\sqrt 3pqr=\sqrt (14\times 3pqr)=\sqrt 42pqr$.
CommonCrawl
After the compare-exchange operation, we know that $A[i] \le A[j]$. The 0-1 sorting lemma provides a powerful way to prove that an oblivious compare-exchange algorithm produces a sorted result. It states that if an oblivious compare-exchange algorithm correctly sorts all input sequences consisting of only 0s and 1s, th...
CommonCrawl
Consider a 10 D spacetime which can be written as $E^1 \times X \times E^3 = Z\times E^3$ where $E^1$ is time, $X$ is the 6D (Calabi-Yau) space of extra dimensions, and $E^3$ are the 3 large spacial dimensions. In his new book, Penrose claims that due to intrinsic perturbations of $X$ and extrinsic perturbations of how...
CommonCrawl
We characterize all complex-valued (Lebesgue) integrable functions $f$ on $[0,1]^m$ such that $f$ vanishes when integrated over the product of $m$ measurable sets which partition $[0,1]$ and have prescribed Lebesgue measures $\alpha_1,\ldots,\alpha_m$. We characterize the Walsh expansion of such functions $f$ via a fir...
CommonCrawl
Week 1 Power functions - when is $x^n>x^m$ and where do they intersect. Introduction to even and odd functions. Cell size and nutrient balance: cell volume and area and the role of power functions in describing cell size limitations. Week 2 Approximating a rational function near the origin. Approximating a rational...
CommonCrawl
We derive a posteriori error estimates in the $L_\infty((0,T];L_\infty(\Omega))$ norm for approximations of solutions to linear parabolic equations. Using the elliptic reconstruction technique introduced by Makridakis and Nochetto and heat kernel estimates for linear parabolic problems, we first prove a posteriori boun...
CommonCrawl
For a graph $G$, let $\alpha (G)$ be the cardinality of a maximum independent set, let $\mu (G)$ be the cardinality of a maximum matching and let $\xi (G)$ be the number of vertices belonging to all maximum independent sets. Boros, Golumbic and Levit showed that in connected graphs where the independence number $\alpha...
CommonCrawl
Maybe you've read every single article on Medium about avoiding procrastination or you're worried that those cute dog gifs are using up too much CPU power.Forsaking both, I've written a brief guide about how to implement Gibbs sampling for Bayesian linear regression in Python.However, we might also consider approximate...
CommonCrawl
Let $G(q)$ be a Chevalley group over a finite field $\mathbb F_q$. By Lusztig's and Shoji's work, the problem of computing the values of the unipotent characters of $G(q)$ is solved, in principle, by the theory of character sheaves; one issue in this solution is the determination of certain scalars relating two types o...
CommonCrawl
Does this conclude that $ \int_E f_jg_j dx \to \int_E fgdx$? Under what condition on the space X, any Continuous operator will be Completely continuous. Strongly convergent subsequence $+$ point-wise convergence $\Rightarrow$ strong convergence? Weak convergence implies strong convergence in $L^1$ for Fourier series? D...
CommonCrawl
Robot Turtles is one of Theta's favorite games. In this game, kindergarteners learn how to "code" by creating programs that move a turtle from a starting field to a diamond. Robot Turtles is reportedly the most successful game funded by the Kickstarter incubator. Players must develop a program consisting of "instructio...
CommonCrawl
Consider an elliptic curve $E$ defined over $\mathbb Q$. Assume that the rank of $E(\mathbb Q)$ is $\geq2$. (Assume the Birch-Swinnerton-Dyer conjecture if needed, so that analytic rank $=$ algebraic rank.) How do you construct a point of infinite order on $E(\mathbb Q)$? Implicit in a paper of Mazur and Swinnerton-Dye...
CommonCrawl
The modulus operator behaves differently for special values: If the operands are numbers, regular arithmetic division is performed, and the remainder of that division is returned. If the dividend is Infinity or the divisor is 0, the result is NaN.... $$ n \times a = a + a + a + \cdots +a$$ Can we define division simila...
CommonCrawl
With the use of variables in mathematical expressions, you can program the computer to do useful calculations for yourself. How about the tip in a restaurant? If you know the cost of a meal $(meal)$, and decide what percentage to leave the server $(per)$, the tip will be $tip=per/100\times meal$. With this, the total c...
CommonCrawl
At some stage of our school life, most of us would have sent or received coded messages from our classmates. General mathematical principle: To investigate a complicated situation apply simplifying transformations, investigate the simplified situation, and try to transfer this information back to the original situation...
CommonCrawl
For $n$ individuals, can a blocking coalition only be formed by at least $n/2$ individuals? For example, if there are 6 individuals, can less than 3 individuals form blocking coalitions? Coalition formation is not the same as majority voting. Say, in a single good economy, individual 1 has the entire endowment, so $\ma...
CommonCrawl
Are there known accuracy issues between 2D axisymmetric and 3D solutions? In my full 3D solutions I am solving for the potential throughout a $100\times 200\times 200$ grid. Inside is a ring electrode set to -5V via a Dirichlet boundary condition, and surrounded on all sides by Dirichlet boundary conditions at 0V. When...
CommonCrawl
The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb R$ and $\mathbb C$ to deduce closed graph theorems...
CommonCrawl
Abstract: Given an element in the first homology of a rational homology 3-sphere $Y$, one can consider the minimal rational genus of all knots in this homology class. This defines a function $\Theta$ on $H_1(Y;\mathbb Z)$, which was introduced by Turaev as an analogue of Thurston norm. We will give a lower bound for th...
CommonCrawl
Let $G$ be a simple graph‎. ‎An independent set is a set of‎ ‎pairwise non-adjacent vertices‎. ‎The number of vertices in a maximum independent set of $G$ is‎ ‎denoted by $\alpha(G)$‎. ‎In this paper‎, ‎we characterize graphs $G$ with $n$ vertices and with maximum‎ ‎number of maximum independent sets provided that $\al...
CommonCrawl
Abstract: While going deeper has been witnessed to improve the performance of convolutional neural networks (CNN), going smaller for CNN has received increasing attention recently due to its attractiveness for mobile/embedded applications. It remains an active and important topic how to design a small network while ret...
CommonCrawl
Inference procedures in some lifetime models. This thesis deals with inference procedures for some parametric lifetime models, involving single as well as multiple samples. In some situations censored (Type I and Type II) samples are considered. The thesis consists of two parts. Part I deals with homogeneity testing in...
CommonCrawl
Abstract: Nonnegative matrices are important in many areas. Of particular importance are the spectral properties of square nonnegative matrices. Some spectral properties are given by the well-known Perron-Frobenius theory, which is about 100 years old. One of the most difficult problems in matrix theory is to determine...
CommonCrawl
Bingo is the game of chance where each player matches the numbers on their card with the numbers that the caller draws at random. When the first player has collected enough called numbers on their card, they declare that they have won, and their card is verified. Imagine this game being played online with players allow...
CommonCrawl
The central star of the Helix Nebula, the closest planetary nebula, is ringed by hundreds of Cometary Knots. Presented here are images taken with WFPC2 of a field in the northern portion of the bright ring and some physical parameters and models derived from the data. The field of view contains more than thirty well fo...
CommonCrawl
There is a racetrack where $n$ players complete laps. Each player has their own maximum speed. In this racetrack, overtaking is only possible near the finish line at every lap: when a player approaches a slower player, she will stay behind him until at the finish line. At the finish line, all players crossing the line ...
CommonCrawl
20/05/2014�� Fast Math Tricks Multiply 2 Digit Numbers having Same Tens Digit & Ones Digits Sum is 10 - Duration: 6:08. Jogi And You 4,313,810 views... The second displayed line of matrices is not correct. The idea will work, but there needs to be either a separation into cases, or a much larger matrix, I think a $10\t...
CommonCrawl
Let $\mathcal R \subseteq S \times S$ be a relation on a set $S$. Some sources call this a linear ordering, or a simple ordering. If it is necessary to emphasise that a total ordering $\preceq$ is not strict, then the term weak total ordering may be used. Results about total orderings can be found here.
CommonCrawl
How is "the surrounding" and its temperature defined to calculate entropy change during a reaction? Lets say supercooled liquid water at $263\ \mathrm K$ isobarically changes to solid ice at the same temperature. I wish to calculate the change in entropy of the surroundings and I happen to know the $\Delta H$ for the r...
CommonCrawl
Given an $n\times n$ grid, and $2\times 2$ checkered tiles (white in the upper left and bottom right corners, and black in the upper right and bottom left corners), what is the smallest number of black squares that can be showing for a tiling that covers the grid (overlaps allowed)? Tiles can be rotated in their placem...
CommonCrawl
How to prove or disprove this ? What are nice (counter-)examples ? I think i have seen it on sci.math as well ( also posted by him) I assume he knows the answer , but wants to see how people handle it. Let $f(z),g_1(z),g_2(z),...$ be analytic on the closed unit circle. I think replacing analytic with $C^\infty$ in Tomm...
CommonCrawl
111 Why did no student correctly find a pair of $2\times 2$ matrices with the same determinant and trace that are not similar? 94 Is there any conjecture that we know is provable/disprovable but we haven't found a proof of yet? 82 How to represent "not an empty set"? 55 Can anyone give me a good example of two interest...
CommonCrawl
# xc in in the trust region. # Consider xd outside of the trust region. The following example is not in the book. We verify that $||d_C + \lambda (d_d - d_C)|| = \Delta$. The point on the border is $x_C + \lambda (x_d - x_C)$. The following figure illustrates the various points involved. We illustrate the method on the...
CommonCrawl
This is a quick post exploring a process of upscaling images using neural nets with no training data other than the downscaled image itself. Figure 1: The image was upscaled from 32x32 to 1024x1024, but one may as well see it as denoising the way it is presented above. That is, given any 2 pixel coordinates, the networ...
CommonCrawl
The Dynamic Mode Decomposition (DMD) is a relatively recent mathematical innovation that, among other things, allows us to solve or approximate dynamical systems in terms of coherent structures that grow, decay, and/ or oscillate in time. We refer to the coherent structures as DMD modes. Each DMD mode has corresponding...
CommonCrawl
Given $f(x) = x - sin(x)$, I'm asked to solve this using the Newton-Raphson method and give the order of convergence. Now for me this is strange because I need to have a starting value $x_0$ in order to go through the Newton-Raphson method. However, I really don't know how to calculate the order of convergence. Any hel...
CommonCrawl
Abstract: Boykin and Jackson recently introduced a property of countable Borel equivalence relations called Borel boundedness, which they showed is closely related to the union problem for hyperfinite equivalence relations. In this paper, we introduce a family of properties of countable Borel equivalence relations whic...
CommonCrawl
The critical behavior of a three real parameter class of solutions of the\\r\\nsixth Painlev\\\\\\\'e equation is computed, and parametrized in terms of monodromy\\r\\ndata of the associated $2\\\\times 2$ matrix linear Fuchsian system of ODE. The\\r\\nclass may contain solutions with poles accumulating at the critical...
CommonCrawl
I am trying to write code that solves equations using Newton-Raphson method. I want the iterations would stop when the error is smaller than the tolerance defiend by the user. How can I validate the error is smaller than the tolerance? In general, you cannot. You don't know the true value of the solution. Consider solv...
CommonCrawl
Can a division algebra have degree divisible by its characteristic? I apologize in advance if this is easy, but I've tried Googling, and had no luck. The characteristic of $D$ (as a normal ring) is $p$. The degree of $D$ (the square root of its dimension over its center) is divisible by $p$. I would really appreciate i...
CommonCrawl
Abstract. The aim of this paper is to extend a class of potentials for which the absolutely continuous spectrum of the corresponding multidimensional Schr\"odinger operator is essentially supported by $[0,\infty)$. Our main theorem states that this property is preserved for slowly decaying potentials provided that ther...
CommonCrawl
We describe here the main research areas the Kitchin Group has been active in. For each area we briefly describe what we have done, with reference to most of the publications that resulted from the work. For a complete listing of our publications see ./publications.html. Molecular simulation continues to drive scientif...
CommonCrawl
Let $M$ be a Riemannian manifold with affine connection such that the metric is covariantly constant (so that the connection equals the Levi-Civita connection up to torsion). I know the interpretation of torsion and curvature in terms of rolling without slipping (that is its interpretation as the curvature of an underl...
CommonCrawl
We will now state some important results regarding the linearity of measurable functions. These can be proven similarly to the analogous results proven for Lebesgue measurable functions. a) $f + g$ is a measurable function on $E$. b) $cf$ is a measurable function on $E$. Similarly, we can state a result for products of...
CommonCrawl
We will now review some of the recent material regarding Riemann-Stieltjes integrals with integrators of bounded variation. We noted that this representation is not unique though since if $g$ is any increasing function on $[a, b]$ then $V + g$ and $V - f + g$ are also increasing functions and $f = (V + g) - (V - f + g)...
CommonCrawl
The goal of this RAMP is to classify correctly handwritten digits. For each submission, you will have to provide an image classifier (versus the original setup that required a transformer and a batch classifier). The images are usually big so loading them into the memory at once may be impossible. The image classifier ...
CommonCrawl
I have a high frequency time series of the bid and ask prices of a stock recorded on every tick. For each data point I also have a certain indicators that predict the future movement of the price. The indicators have different horizons of the predictions, some being optimal at few second intervals and others few minute...
CommonCrawl
"The H∞ Functional Calculus Based on the S-Spectrum for Quaternionic Op" by Daniel Alpay, Fabrizio Colombo et al. In this paper we extend the H∞ functional calculus to quaternionic operators and to n-tuples of noncommuting operators using the theory of slice hyperholomorphic functions and the associated functional calc...
CommonCrawl
Abstract: Recently developed neuromorphic vision sensors have become promising candidates for agile and autonomous robotic applications primarily due to, in particular, their high temporal resolution and low latency. Each pixel of this sensor independently fires an asynchronous stream of "retinal events" once a change ...
CommonCrawl
We will now look at the number of $k$-combinations of a multiset containing $n$ distinct elements whose repetition numbers are $\infty$. Recall that a $k$-combination of an ordinary finite $n$-element set $A$ is simply a selection of $k$ out of all $n$ elements in $A$. In others words, a $k$-combination of $A$ is a sub...
CommonCrawl
But this was not the question. Before asking the question let's first sport you with the following definition. Definition: a peaceful area of size $k$ on a chessboard, is a $k$ by $k$ square of squares containing $k$ queens in which no two queens threaten each other, i.e. no two queen are in the same row, column or dia...
CommonCrawl
If I fix any parameter $\alpha$ (and, arbitrarily, set $z_0$ equal to $0$) then I can iterate starting from any point $z_1$ and look for cycles. This procedure yields Julia sets, or at least something very similar. I'm not sure what the correct name is in this context. For those running modern WebKit based browsers, he...
CommonCrawl
A probability distribution is a special case of the more general notion of a probability measure, which is a function that assigns probabilities satisfying the Kolmogorov axioms to the measurable sets of a measurable space. The rectangular distribution is a uniform distribution on [-1/2,1/2]. The triangular distributio...
CommonCrawl
Standard facts about separating linear functionals will be used to determine how two cones $C$ and $D$ and their duals $C^*$ and $D^*$ may overlap. When $T\:V\rightarrow W$ is linear and $K \subset V$ and $D\subset W$ are cones, these results will be applied to $C=T(K)$ and $D$, giving a unified treatment of several th...
CommonCrawl
This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. Complementary angles: two angles whose measures add up to the measure of a right angle. Complements of Parallelograms: The extra bits that need to be adde...
CommonCrawl
> - can mtpro2.sty be extended in such a way that amsmath's cases environment automatically chooses 'ccases'? > - what about a comparison of Times vs. TimesNR used together with MTProII? "($(a)$)" looks much better with TimesNR, perhaps there are more combinations worth noting? effort. I have discussed the problem alre...
CommonCrawl
In the In the 2018-2019 AY, the Random Matrix and Probability Theory Seminar will take place on Thursdays from 4:30 – 5:30pm in CMSA, room G10. As the seminar will not occur on a regular weekly basis, the list below will reflect the dates of the scheduled talks. Room numbers and times will be announced as the details a...
CommonCrawl
By using a formula relating topological entropy and cohomological pressure, we obtain several rigidity results about contact Anosov flows. For example, we prove the following result: Let $\varphi$ be a $C^\infty$ contact Anosov flow. If its Anosov splitting is $C^2$ and it is $C^0$ orbit equivalent to the geodesic flow...
CommonCrawl
I'm trying to understand the CAPM model and how we can use it to understand efficient portfolios. Specfically, I'm trying to use the CML line (mapping expected returns and standard deviations of portfolios) to value proposed portfolios. In this scenario: risk free rate = 2%. Expected excess return on market portfolio i...
CommonCrawl
We consider anchored and ANOVA spaces of functions with mixed first order partial derivatives bounded in $L_1$ and $L_\infty$ norms. The spaces are weighted and we provide necessary and sufficient conditions so that the corresponding spaces have equivalent norms with constants independent of the number of variables. Th...
CommonCrawl
The workshop ``Calculus of Variations'' took place from July 9 to 15, 2006, and was attended by almost fifty participants, mostly from European and North American universities and research institutes. There were 24 lectures on recent research topics, plus a review lecture on the Lieb-Thirring inequalities by Michael Lo...
CommonCrawl
The posterior distribution is equal to the joint distribution divided by the marginal distribution of the evidence. For many useful models the marginal distribution of the evidence is hard or impossible to calculate analytically. To produce an interesting MCMC animation, we simulate a linear regression data set and ani...
CommonCrawl
Proceedings of Machine Learning Research, PMLR 89:1215-1225, 2019. We consider a scenario involving computations over a massive dataset stored distributedly across multiple workers, which is at the core of distributed learning algorithms. We propose Lagrange Coded Computing (LCC), a new framework to simultaneously prov...
CommonCrawl
the robot that is being presented is equipped with an acoustic speaker that can generate 10-100 kHz sound waves. I want to purchase and test this product. I tried contacting the author but got no response. Can anyone identify the speaker shown below? Browse other questions tagged mobile-robot sensors acoustic-rangefind...
CommonCrawl
Consider the following reparametrization of $\mathbb R^3$: $$(x,y,z)\mapsto (x-\cos z,y-\sin z,z).$$ Note that the horizontal translations of your helix go to the vertical lines. So the pullback of the canonical metric on $\mathbb R^3$ is the metric you want. I'm pretty sure that Nil geometry works, but I don't know a ...
CommonCrawl
Abstract: In this paper we develop a Malliavin-Skorohod type calculus for additive processes in the $L^0$ and $L^1$ settings, extending the probabilistic interpretation of the Malliavin-Skorohod operators to this context. We prove calculus rules and obtain a generalization of the Clark-Hausmann-Ocone formula for random...
CommonCrawl
Fully Convolution Networks (FCN) have achieved great success in dense prediction tasks including semantic segmentation. In this paper, we start from discussing FCN by understanding its architecture limitations in building a strong segmentation network. Next, we present our Improved Fully Convolution Network (IFCN). In ...
CommonCrawl
Suppose that there is an alien spacecraft travelling towards the Sun. This spacecraft is similar in design, size and power output to Voyager 1 and Voyager 2 as they were immediately after launch from Earth, and is coasting in its orbit (no powered maneuvers taking place). Also suppose that a budding scientist on presen...
CommonCrawl
Does anything like expectation of joint distribution exist? I know how to find the expectation of a function of a Random Variables, I was just wondering that does expectation of a joint distribution exists? I think, since expectation is an average which by definition means a statistic: a single value that describes a d...
CommonCrawl
Evgeny Ferapontov (Loughborough) Date in autumn to be arranged (postponed from Monday April 16). Kirill Mackenzie (Sheffield) Tuesday August 7th, 2018, 2pm, LT 7. For a transitive Lie algebroid $A$, and an ideal in the adjoint bundle (= kernel of the anchor), there is a simple construction of a quotient Lie algebroid o...
CommonCrawl
To apply a transformation to every item in a list, and collect the transformed elements. This operation is called map. For example, mapping the operation "add ten" across every item in the list [2, 4, 6] produces the list [12, 14, 16]. To narrow the list down to only those items that meet a certain criterion. This oper...
CommonCrawl
Input: A sequence of $ n $ numbers $ A = \langle a_1, a_2, \ldots, a_n \rangle $ and a value $\nu$. Write the pseudocode for linear search, which scans through the sequence, looking for $\nu$. Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary p...
CommonCrawl
Tool to compute the trace of a matrix. The trace of a square matrix M is the addition of values of its main diagonal, and is noted Tr(M). Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best Trace of a Matrix tool. Thank you. > [New...
CommonCrawl
Electromagnetic vector fields are composed of elaborate mathematical structures described with vector differential operators, and physicists cannot intuitively understand and distinguish of them. If one intends to learn about the changes in the electric displacement D in medium of polarization P, or the magnetic intens...
CommonCrawl
CORE is an "open-access platform" "for a changing world" and "for anyone who wants to understand the economics of innovation, inequality, environmental sustainability, and more".1 It attempts to readjust economics teaching towards taking the financial crisis into account. As of December 2017, its textbook – The Economy...
CommonCrawl
with 303 additions and 134 deletions. The `InclinedNoDisplacementBC` Action is used to create a set of InclinedNoDisplacementBC for a string of displacement variables. See the description, example use, and parameters on the [InclinedNoDisplacementBC](/InclinedNoDisplacementBC/index.md) action system page. where $\alpha...
CommonCrawl
Both of the values above represent the 2-norm: $\|x\|_2$. The $\infty$ norm represents a special case, because it's actually (in some sense) the limit of $p$-norms as $p\to\infty$. Recall that: $\|x\|_\infty = \max(|x_1|, |x_2|, |x_3|)$. Once you know the set of vectors for which $\|x\|=1$, you know everything about th...
CommonCrawl
Abstract: Multidimensional combinatorial substitutions are rules that replace symbols by finite patterns of symbols in $\mathbb Z^d$. We focus on the case where the patterns are not necessarily rectangular, which requires a specific description of the way they are glued together in the image by a substitution. Two prob...
CommonCrawl
Strategic thinking in financial markets policy by Ajay Shah in Business Standard, July 24, 2017. Indian poultry farms are breeding drug-resistant superbugs: study by Natalie Obiko Pearson in Mint, July 21, 2017. Why Aadhaar transaction authentication is like signing a blank paper by Jayanth R. Varma in Jayanth R. Varma...
CommonCrawl
Now we don't need to consider $1\times 1$ any longer as we have found the smallest rectangle tilable with copies of X plus copies of $1\times 1$. I've only found two other solutions. I tagged it 'computer-puzzle' but some people can probably work both of these out by hand. This one has a rather interesting generalizati...
CommonCrawl
Abstract: A linear universal decay formula is presented starting from the microscopic mechanism of the charged-particle emission. It relates the half-lives of monopole radioactive decays with the $Q$-values of the outgoing particles as well as the masses and charges of the nuclei involved in the decay. This relation is...
CommonCrawl
Let G(V, E) be a finite undirected graph and let κ be its longest undirected cycle. Prove that it is always possible to obtain an orientation ω(κ) in which κ is topologically sorted and hence its last edge (from node 1 to node N) is inverted. Prove that given ω(κ) it is always possible to orient the remainder of the gr...
CommonCrawl