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This question came to my mind thanks to this question which I found really interesting (and beautiful! Like the mathematician Philippe Caldero said in his book Histoires Hédonistes de Groupes et de Géométries (roughly translated) "Let us stop for a moment to contemplate the beauty of mathematics, that is after all the ... | CommonCrawl |
A lot of arithmetic geometry has to do and took off with constructions or proofs of non-constructibility of specific figures only with ruler and compass. See e.g. the non-constructibility of the regular heptagon and the constructibility of the regular heptadecagon by Gauss.
I wonder what it means that there is a simple... | CommonCrawl |
The Rules of "Integrated Sums Sudoku"
Each column, each row, and each box (3$\times$3 subgrid) must have the numbers 1 to 9.
The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on ... | CommonCrawl |
Abstract. We consider the Navier-Stokes equations in the thin 3D domain $T^2\times(0,\epsilon)$, where $T^2$ is a two-dimensional torus. The equation is perturbed by a non-degenerate random kick-force. We establish that, firstly, when $\epsilon\ll1$ the equation has a unique stationary measure and, secondly, after aver... | CommonCrawl |
While finally revisiting one of the geometry books on my shelf, Glen Bredon's Topology and Geometry, I encountered an exercise about showing that the projective space is homeomorphic to the mapping cone of a map that doubles a circle on itself (the complex squaring map $z \mapsto z^2$). The mapping cone has a nice visu... | CommonCrawl |
In this paper we study non-interactive correlation distillation (NICD), a generalization of noise sensitivity previously studied earlier. We extend the model to NICD on trees. In this model there is a fixed undirected tree with players at some of the nodes. One node is given a uniformly random string and this string is... | CommonCrawl |
Comment at (n,r)-category about the equivalence of fundamental categories. This is a coarser notion than equivalence of categories in the usual sense.
Format: MarkdownThanks. Do you have a reference for that notion? Is that in Grandis' work? We should have an entry on this. Recently, after I carried this question to th... | CommonCrawl |
The method converges to a solution in a finite number of iterations.
Since $x_2 = x_0$, we will get $x_3 = x_1 = 0$.
So, $x_3 = 0$, and the method never converges. A choice.
Say $f(1) = 1.9, f(2) = 1.95, f(3) = 1.97, \ldots f(100) = 1.999, f(10000) = 1.999999, f(1000000) = 2$, here we say $f$ converges to the value 2. ... | CommonCrawl |
This list is based on what was entered into the 'organiser' field in a talk. It may not mean that info@newton.ac.uk actually organised the talk, they may have been responsible only for entering the talk into the talks.cam system.
Long Term Electricity Market Design: Pricing Quality?
Optimal storage, investment and mana... | CommonCrawl |
Abstract : Simultaneous observations of PSR B0823+26 with ESA's XMM-Newton, the Giant Metrewave Radio Telescope and international stations of the Low Frequency Array revealed synchronous X-ray/radio switching between a radio-bright (B) mode and a radio-quiet (Q) mode. During the B mode we detected PSR B0823+26 in 0.2$-... | CommonCrawl |
cvgmt: A stability result for nonlinear Neumann problems in Reifenberg flat domains in $\mathbb R^N$.
A stability result for nonlinear Neumann problems in Reifenberg flat domains in $\mathbb R^N$.
In this paper we prove that if $\Omega_k$ is a sequence of Reifenberg-flat domains in $\mathbb R^N$ that converges to $\Ome... | CommonCrawl |
Abstract: A well known conjecture of Wigner, Dyson, and Mehta asserts that the (appropriately normalized) $k$-point correlation functions of the eigenvalues of random $n \times n$ Wigner matrices in the bulk of the spectrum converge (in various senses) to the $k$-point correlation function of the Dyson sine process in ... | CommonCrawl |
Abstract: Medical students and radiology trainees typically view thousands of images in order to "train their eye" to detect the subtle visual patterns necessary for diagnosis. Nevertheless, infrastructural and legal constraints often make it difficult to access and quickly query an abundance of images with a user-spec... | CommonCrawl |
On a rectangular $ 4 \times 2016 $ chessboard, a knight begins in the lower left corner, makes several knight moves, visits all squares of the chessboard at least once and in the end returns to the starting position.
Find the minimal number of squares that the knight must visit more than one time.
the knight must visit... | CommonCrawl |
Bacterial diversity was studied in the rhizosphere of Suaeda japonica Makino, which is native to Suncheon Bay in South Korea. Soil samples from several sites were diluted serially, and pure isolation was performed by subculture using marine agar and tryptic soy agar media. Genomic DNA was extracted from 29 pure, isolat... | CommonCrawl |
Abstract: Let $g \geq 2$. A real number is said to be g-normal if its base g expansion contains every finite sequence of digits with the expected limiting frequency. Let \phi denote Euler's totient function, let \sigma be the sum-of-divisors function, and let \lambda be Carmichael's lambda-function. We show that if f i... | CommonCrawl |
You are trying to get highest total score you can reach with arranging the numbers by rotating (no reflection allowed) them without overlapping them on each other.
Since there are 8 lines of the grid are touched with each other, the total score would be $2\times8+3\times8=40$ which is the maximum score you can get with... | CommonCrawl |
The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics, two-dimensional elasticity, charged and dipolar systems. Although such systems can... | CommonCrawl |
Number of Boolean functions of n variables.
Is my understanding flawed, or are any of the statements above, in fact, semantically equivalent? Are the boolean operations used really $\lor$ and $\land$ (I feel like excluding $\lnot$ is quite odd)? Moreover, is there a formula for this sequence?
The reader may be interest... | CommonCrawl |
My scientific interests are especially the study of complex charged and magnetic soft matter by means of computer simulations, and the development of simple theoretical models to describe them. More precisely I am currently working on the solution properties and association behavior of flexible and semi-flexible polyel... | CommonCrawl |
Who proved the modern form of the fundamental theorem of Galois theory?. Was it in the original Galois' manuscript?
Let the equation be given whose $m$ roots are $a,b,c,\ldots$. There will always be a group of permuations of the letters $a,b,c,\ldots$ which will have the following property: 1) that each function invari... | CommonCrawl |
Is it possible to shuffle a 3x3 Rubik's cube so that there's no more than 2 pieces of the same color in every face?
Can I take a standard $3 \times 3$ Rubik's Cube and shuffle it so that, for every face, there are no more than $2$ pieces with the same color?
Please answer if you have managed (or failed) to solve the qu... | CommonCrawl |
This is the second half of 18.02A and can be taken only by students who took the first half in the fall term; it covers the remaining material in 18.02.
Abstract: We will discuss how the evolution of a random walker on the square grid leads to a second order partial differential equation known as the telegraph equation... | CommonCrawl |
Economies and societal structures in general are complex stochastic systems which may not lend themselves well to algebraic analysis. An addition of subjective value criteria to the mechanics of interacting agents will further complicate analysis. The purpose of this short study is to demonstrate capabilities of agent-... | CommonCrawl |
Finally, the MATLAB implementation of CEDD is available on-line.
The source code is quite simple and easy to be handled by all users. There is a main function that has the task of extracting the CEDD descriptor from a given image.
The descriptors, which include more than one features in a compact histogram, can be rega... | CommonCrawl |
Abstract: The current status of optical potentials employed in the prediction of thermonuclear reaction rates for astrophysics in the Hauser-Feshbach formalism is discussed. Special emphasis is put on $\alpha$+nucleus potentials. A novel approach for the prediction of $\alpha$+nucleus potentials is proposed. Further ex... | CommonCrawl |
Are the range proofs and pedersen commitments part of a transaction? Or are they not kept in a transaction at all?
where a is a random scalar.
Borromean ring signature is suitable here for reducing the signature size.
MRL's paper is confusing, it's better to read the source code.
There is a new output we want to make a... | CommonCrawl |
Department of Mathematics, University of Qom, Qom 3716146611, Iran.
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p<\infty$, $K$ i... | CommonCrawl |
If the lottery balls are being chosen at random, then the distribution of the number of times each ball comes up should follow the theoretical shape shown in white. Use the playback controls below the animation to restart, pause, or fast forward the draws.
Of course the actual distribution is more jagged, but the theor... | CommonCrawl |
Abstract: Various QCD correlators are calculated in the instanton liquid model in zeromode approximation and $1/N_c$ expansion. Previous works are extended by including dynamical quark loops. In contrast to the original "perturbative" $1/N_c$ expansion not all quark loops are suppressed. In the flavor singlet meson cor... | CommonCrawl |
Lemma 23.8.6. Let $(A, \mathfrak m)$ be a Noetherian local ring. Let $\mathfrak p \subset A$ be a prime ideal. If $A$ is a complete intersection, then $A_\mathfrak p$ is a complete intersection too.
Proof. Choose a prime $\mathfrak q$ of $A^\wedge $ lying over $\mathfrak p$ (this is possible as $A \to A^\wedge $ is fai... | CommonCrawl |
Here, $D$ is the number of dimensions. In our current case, $D=2$.
Note this looks a bit confusing with the use of two $\Sigma$ symbols. The one far to the right is stil used for summation, while the one on the left represents our covariance matrix.
Although we worked out the math for the case $D=2$, this generalizes t... | CommonCrawl |
[AI15] Abdolghafourian, A. and Iranmanesh, M. A., Divisibility graph for symmetric and alternating groups, Comm. Algebra, 43 (7) (2015), 2852–2862.
[A15] Abdollahi, A., Non-solvable groups generated by involutions in which every involution is left 2-Engel, J. Group Theory, 18 (1) (2015), 111–114.
[AZ15] Abdollahi, A. a... | CommonCrawl |
Suppose you have a huge number of robots/vehicles and you want all of them to track some global value, maybe the average of the weight of the fuel that each contains.
One way to do this is to have a master server that takes in everyone's input and generates the output. So others can get it from the master. But this app... | CommonCrawl |
Proceedings of Machine Learning Research, PMLR 89:467-475, 2019.
We derive an algorithm that achieves the optimal (up to constants) pseudo-regret in both adversarial and stochastic multi-armed bandits without prior knowledge of the regime and time horizon. The algorithm is based on online mirror descent with Tsallis en... | CommonCrawl |
where the data term is reduced to known data from for the lossy case, and the first order differences are relaxed to a quadratic term for small distances. The weighghts can be also given as vectors for the dimensions with different weights, i.e. $\alpha_1$ as a weight for the differences in -direction Real values are i... | CommonCrawl |
This paper propose a novel way of tuning the LDA's hyper parameters $\alpha$, $\beta$ and topic_size $k$. The method used here is Differential Evolution Algorithm - a black box optimization method used widely outside machine learning domain, hence the name as LDADE. This paper also reviews multiple papers in this domai... | CommonCrawl |
The TORCH concept is based on the detection of Cherenkov light produced in a quartz radiator plate. It is an evolution of the DIRC technique, extending the performance by the use of precise measurements of the emission angles and arrival times of detected photons. This allows dispersion in the quartz to be corrected fo... | CommonCrawl |
Use this tag for questions and problems involving vectors, e.g., in an Euclidean plane or space. More abstract questions, might better be tagged vector-spaces, linear-algebra, etc.
The commutator product as a replacement for the cross and wedge product?
How to prove $v_1\cdot v_2=|v_1||v_2|\cos(\theta)$ in n-dimensions... | CommonCrawl |
We investigate the dynamics, shape and stability of a thin viscous sheet subjected to an extensional flow under an imposed non-uniform temperature field. Using finite element simulations, we first solve for the stretching flow to determine the pre-buckling sheet thickness and in-plane flow velocities. Next, we use this... | CommonCrawl |
Is there an example of a "almost-metric" that is not symmetric but satisfies the other axioms of a metric (positive-definiteness, triangle inequality)?
to hold. It is certainly interesting to find an example in $\mathbb R^n$ (even if just for a specific $n$) but I'm also interested in other "almost-metric-spaces".
Not ... | CommonCrawl |
Pasupathy, J (1997) PCAC and Modifications in Hadron Properties in Nuclear Medium. In: Modern Physics Letters A, 12 (26). pp. 1943-1949.
It is known that the Adler zero condition when imposed on pion amplitudes leads to several relations between hadron masses through the dual resonance formula of Lovelace, Shapiro and ... | CommonCrawl |
Hello all. Sage noob here. My friend recently told me about sage and convinced me to give it a whirl. (My background is MATLAB).
I would like to simply get the outer product of those two vectors. However it errors out.
I would like to think that I am boneheading something here, because this is a legitimate operation. I... | CommonCrawl |
Consider writing a natural number as product of powers of natural numbers with given exponents, additionally requiring different base numbers for each power.
For example, $256$ can be written as a product of a square and a fourth power in three ways such that the base numbers are different.
Though $4^2$ and $2^4$ are b... | CommonCrawl |
I describe work with Stefan Hollands that establishes a new criterion for the dynamical stability of black holes and black branes with respect to axisymmetric perturbations. Our analysis is done in vacuum general relativity without a cosmological constant in $D \geq 4$ spacetime dimensions, but our approach is applicab... | CommonCrawl |
where $y(t)$ is the output and $x(t)$ is the input given to the system.
$$y_1(t) + y_2(t) = x_1(e^t) + x_2(e^t)$$ How will system respond to this input?
Additivity requires a little more than direct addition of some $x_1$ and $x_2$. It should involve any linear combination of $x_1$ and $x_2$, $a_1 x_1 + a_2 x_2$ where ... | CommonCrawl |
Ideas for further contemplation from the blog post Complex Matrix Expansions.
Instead of expanding complex numbers into $2 \times 2$ real matrices, expand $m \times n$ complex matrices into $2m \times 2n$ real matrices.
Find analogues of every one of the above-mentioned properties under this generalized expansion. Warn... | CommonCrawl |
Little Ivica solves crossword puzzles every day. In case you haven't seen one, a crossword puzzle starts on a grid of $R \times C$ squares, each of which is either empty or blocked. The player's task is to write words in consecutive empty squares vertically (top down) or horizontally (left to right).
Ivica's sister has... | CommonCrawl |
The E791 collaboration Aitala, E.M. ; Amato, S. ; Anjos, J.C. ; et al.
Phys.Lett. B496 (2000) 9-18, 2000.
Using data from Fermilab fixed-target experiment E791, we have measured particle-antiparticle production asymmetries for lambda zero, cascade minus, and omega minus hyperons in pi minus-nucleon interactions at 500 ... | CommonCrawl |
then $R \to S$ is formally smooth in the $\mathfrak n$-adic topology.
In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. As a reminder, this is tag 07EH. Beware of the difference between t... | CommonCrawl |
"Resolution Of Conjectures Related To Lights Out! And Cartesian Products" by Bryan A. Curtis, Jonathan Earl et al.
Lights Out!\ is a game played on a $5 \times 5$ grid of lights, or more generally on a graph. Pressing lights on the grid allows the player to turn off neighboring lights. The goal of the game is to start ... | CommonCrawl |
A universal construction in Goursat categories (Gran, Marino and Rodelo, Diana), In Cah. Topol. Géom. Différ. Catég., volume 49, 196-208, 2008.
Protolocalisations of exact Mal'cev categories (Borceux, Francis, Gran, Marino and Mantovani, Sandra), In Theory Appl. Categ., volume 21, 3-37, 2008.
On the number of subsets r... | CommonCrawl |
Abstract: We consider nonparametric maximum-likelihood estimation of a log-concave density in case of interval-censored, right-censored and binned data. We allow for the possibility of a subprobability density with an additional mass at $+\infty$, which is estimated simultaneously. The existence of the estimator is pro... | CommonCrawl |
The determination of the normalizer of the basis group in the group of units of the associated group ring is a question that naturally imposes by itself. In integral group rings, in particular, it has been observed that, for important classes of finite groups, this normalizer is minimal, in other words, $\mathcal N_\ma... | CommonCrawl |
On the Real Nullstellensatz for Global Analytic Functions.
An algebra of analytic functions on a complex analytic space can be endowed with a topology in such a way that closed ideals behave specially well. For instance, a closed ideal $\alpha$ admits a primary decomposition, $\alpha =\bigcap _i \alpha _i$. In fact, un... | CommonCrawl |
Time according to the gravity of Sagittarius A?
They found the factor of time on the varying distances from the SMBH, I am curious on how to turn those factors into relatable terms such as: At 1 km from the event horizon ____ time passes on earth in an hour.
I'm just not sure how to figure this out.
I am curious on how... | CommonCrawl |
Abstract: The warped product $N_1\times_f N_2$ of two Riemannian manifolds $(N_1,g_1)$ and $(N_2,g_2)$ is the product manifold $N_1\times N_2$ equipped with the warped product metric $g=g_1+f^2 g_2$, where $f$ is a positive function on $N_1$. The notion of warped product manifolds is one of the most fruitful generaliza... | CommonCrawl |
We study the shape of the Young diagram $\lambda$ associated via the Robinson–Schensted–Knuth algorithm to a random permutation in $S_n$ such that the length of the longest decreasing subsequence is not bigger than a fixed number $d$; in other words we study the restriction of the Plancherel measure to Young diagrams w... | CommonCrawl |
We derive a sufficient condition and present explicit examples based on toric geometry for realizing meta-stable de Sitter vacua with small positive cosmological constant within type IIB string theory / F-theory flux compactifications with spontaneously broken supersymmetry. There are a number of `lamp post' constructi... | CommonCrawl |
Abstract: The subject of this paper is the problem of estimating service time distribution of the $M/G/\infty$ queue from incomplete data on the queue. The goal is to estimate $G$ from observations of the queue--length process at the points of the regular grid on a fixed time interval. We propose an estimator and analy... | CommonCrawl |
Abstract: We discuss the local geometry in the vicinity of a sphere $\mathbb P^1$ embedded with a negative normal bundle. We show that the behavior of the Kähler potential near a sphere embedded with a given normal bundle can be determined using the adjunction formula. As a by-product, we construct (asymptotically loca... | CommonCrawl |
We use integral field spectroscopy, from the SWIFT and Palm3K instruments, to perform a spatially-resolved spectroscopic analysis of four nearby highly star-forming `green pea' (GP) galaxies, that are likely analogues of star-forming systems at z~2.5-3. By studying emission-line maps in H$\alpha$, [NII]$\lambda \lambda... | CommonCrawl |
Legends often tell of great treasures. But you rarely get the chance to actually stumble upon those treasures. Most of them are lost in the sea, or hidden below mountains. But as you learned from one of your biggest idols, treasures do belong into a museum. And now you have the chance to make that happen.
On an expedit... | CommonCrawl |
Hamilton-Jacobi-Bellman approach for optimal control problems with discontinuous coefficients.
Abstract: This thesis deals with the Dynamical Programming and Hamilton-Jacobi-Bellman approach for a general class of deterministic optimal control problems with discontinuous coefficients.The tools essentially used in this ... | CommonCrawl |
Microscopic flows are almost always stable and laminar that allows precise control of chemical environment in micro-channels. We describe design and operation of several microfluidic devices, in which various types of environments are created for different experimental assays with live cells. In a microfluidic chemosta... | CommonCrawl |
Subject to: x_1 + x_2 + x_3 = 100, 2x_1 + x_2 + x_4 = 150, 5x_1 + 10x_2 + x_5 = 800, x_i \ge 0, i = 1, \dots, 5.
The vector x^T = [60, 30, 10, 0, 200] is a (nonbasic) feasible solution. Determine a vector y and a basic feasible solution of the form x+ty.
such that 80y_1 + 60y_2 > 0 and y_4 = 0 (because x_4 = 0), then a... | CommonCrawl |
Your task is to find a minimum-price flight route from Syrjälä to Metsälä. You have one discount coupon, using which you can halve the price of any single flight during the route. However, you can use the coupon only once.
The first input line has two integers $n$ and $m$: the number of cities and flight connections. T... | CommonCrawl |
Is there an algorithm for solving the following problem: let $g_1,\ldots,g_n$ be permutations in some (large) symmetric group, and $g$ be a permutation that is known to be in the subgroup generated by $g_1,\ldots,g_n$, can we write $g$ explicitly as a product of the $g_i$'s?
My motivation is that I'm TAing an intro abs... | CommonCrawl |
In this paper, we introduce the notion of a pre-Lie 2-algebra, which is the categorification of a pre-Lie algebra. We prove that the category of pre-Lie 2-algebras and the category of 2-term pre-Lie$_\infty$-algebras are equivalent. We classify skeletal pre-Lie 2-algebras by the third cohomology group of a pre-Lie alge... | CommonCrawl |
With the image class we created in previous posts, we are finally ready to have some fun with image processing. As a first step, let's try something simple.
Something simple huh? What can be simpler than linear transformation? I guess that's what we are targeting here: $$c_1 = \alpha \times c_0 + \beta$$ Simple as it i... | CommonCrawl |
Amanda L Wright and Bryce Vissel.
CAST your vote: is calpain inhibition the answer to ALS?. Journal of neurochemistry 137(2):140–1, April 2016.
Abstract A publication in the Journal of Neurochemistry by Rao et al. (2016) suggests that the overexpression of the calpain inhibitor, calpastatin (CAST) rescues neuron loss a... | CommonCrawl |
Recent studies have demonstrated the power of recurrent neural networks for machine translation, image captioning and speech recognition. For the task of capturing temporal structure in video, however, there still remain numerous open research questions. Current research suggests using a simple temporal feature pooling... | CommonCrawl |
Prove the following corollary to the Fundamental Theorem of Galois Theory. Use only the FTGT statements to prove it. Let $E/F$ be a (finite) Galois extension, with Galois group $G=\gal_F(E)$. Let $L_1,L_2\in\sub_F(E)$ and $H_1,H_2\in\sub(G)$.
Let $f(x)\in\Q[x]$ be such that it has a non-real root. Let $E$ be the splitt... | CommonCrawl |
Jianghong Bao. Complex dynamics in the segmented disc dynamo. Discrete & Continuous Dynamical Systems - B, 2016, 21(10): 3301-3314. doi: 10.3934\/dcdsb.2016098.
Cameron J. Browne, Sergei S. Pilyugin. Minimizing $\\mathcal R_0$ for in-host virus model with periodic combination antiviral therapy. Discrete & Continuous Dy... | CommonCrawl |
The integers are made up of positive numbers, negative numbers and zero. The positive numbers are like the naturals, but with a "plus" before: $$+1, +2, +3, +4, \ldots$$. Nevertheless, the "plus" of the positive numbers does not need to be be written. On the other hand, the negative numbers are like the naturals but wi... | CommonCrawl |
How can we represent the state of the world and the goal? In a multi-task setting, enumerating all of the objects that the robot might need to pay attention to can become impractical: the number and types of objects might vary, and detecting them requires a dedicated vision pipeline. Instead, we can operate directly on... | CommonCrawl |
By way of introduction, imagine an infinitely thin sheet of paper: it is two dimensional (with two sides. Two points on one side of that surface will be $\small x$ (arbitrary) units apart. If you introduce a small deflection on that surface between those points, the distance between those two points (in two dimensions)... | CommonCrawl |
Given two circles. It is required to find all their common tangents, i.e. all such lines that touch both circles simultaneously.
The described algorithm will also work in the case when one (or both) circles degenerate into points. Thus, this algorithm can also be used to find tangents to a circle passing through a give... | CommonCrawl |
Abstract: A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied. Error-correcting methods for such a scheme, and their parameters, are inve... | CommonCrawl |
The analytic index of elliptic pseudodifferential operators on a singular foliation - Mathematics > Operator Algebras - Download this document for free, or read online. Document in PDF available to download.
Abstract: In previous papers arxiv:math-0612370 and arxiv:0909.1342 we defined theC*-algebra and the longitudina... | CommonCrawl |
I think this is primarily based on peoples' differing definitions, not any fundamental misunderstanding. There's no harm done when a student is learning grade school math.
then it has one element, as you might expect.
The natural numbers are those we use for counting objects. Some authors include $0$ as a 'natural' num... | CommonCrawl |
I wonder why this is? Is it just a coincidence?
Since the determinant represents the area of a parallelogram, the derivative at $x_0$ is the area of parallelogram formed by $ \langle f'(x_0),\ g'(x_0)\rangle $ and $ \langle f(x_0),\ g(x_0)\rangle $ where $ g(x_0) $ is scaled to 1. Still, this interpretation is kind of ... | CommonCrawl |
dc.description.abstract In this paper we construct an "interior penalty" discontinuous Galerkin method to approximate the minimizer of a variational problem related to the $p(x)$-Laplacian. The function $p:\Omega\to [p_1,p_2]$ is log-Hölder continuous and $1<p_1\leq p_2<\infty$. We prove that the minimizers of the disc... | CommonCrawl |
In a continuous time market model we consider the problem of existence of an equivalent martingale measure with density lying within given lower and upper bounds and we characterize a necessary and sufficient condition for this. In this sense our main result can be regarded as a version of the fundamental theorem of as... | CommonCrawl |
6 Is it good to migrate my problem into MathOverflow?
4 Is MSE a good place for peer reviews? Is it appropriate to start a bounty for this type?
12 Connections in terms of tangent ($\infty$-)categories?
9 Is it pragmatically beneficial to pursue a master degree before applying for a math PhD in the U.S.?
8 Learning Ger... | CommonCrawl |
We can simply perform a greedy algorithm: stop at a rest stop which has the Maximal $C_i$ in this area you can arrived, and stay at this rest stop as long as possible. After that, find the next rest stop which also has the Maximal $C_j$ in next area. It's supposed $P_j > P_i$. And also stay at rest stop $J$ as long as ... | CommonCrawl |
Nested quotations are great not only for writing literature with a complex narrative structure, but also in programming languages. While it may seem necessary to use different quotation marks at different nesting levels for clarity, there is an alternative. We can display various nesting levels using $k$-quotations, wh... | CommonCrawl |
Using pigeon hole principle show that among any $11$ integers, sum of $6$ of them is divisible by $6$.
I thought we can be sure that we have $6$ odd or $6$ even numbers among $11$ integers.Suppose that we have $6$ odd integers. Obviously sum of these $6$ odd numbers is divisible by $2$, so it remains to show that this ... | CommonCrawl |
Archive ouverte HAL - Particles approximations of Vlasov equations with singular forces : Propagation of chaos.
Abstract : We obtain the mean field limit and the propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq... | CommonCrawl |
From an email question "I am currently working on dosimeters. Lots of queries.. A broad overview of all dosimeters will help (if you can add when you get time)"
firstly why is larger volume of thimble ion chamber sometimes a drawback esp for steep dose gradients. I did understand this at some stage but I am confused af... | CommonCrawl |
$K$ is quasi-isomorphic to a K-flat complex $E^\bullet $ whose terms are flat $R$-modules with $E^ i = 0$ for $i \not\in [a, \infty ]$.
In order to prevent bots from posting comments, we would like you to prove that you are human. You can do this by filling in the name of the current tag in the following input field. A... | CommonCrawl |
Abstract: A $k$-free like group is a $k$-generated group $G$ with a sequence of $k$-element generating sets $Z_n$ such that the girth of $G$ relative to $Z_n$ is unbounded and the Cheeger constant of $G$ relative to $Z_n$ is bounded away from 0. By a recent result of Benjamini-Nachmias-Peres, this implies that the crit... | CommonCrawl |
In algebraic topology we often encounter chain complexes with extra multiplicative structure. For example, the cochain complex of a topological space has what is called the $E_\infty$-algebra structure which comes from the cup product.
In this talk I present an idea for studying such chain complexes, $E_\infty$ differe... | CommonCrawl |
We present stellar evolution calculations of the remnant of the merger of two carbon-oxygen white dwarfs (CO WDs). We focus on cases that have a total mass in excess of the Chandrasekhar mass. After the merger, the remnant manifests as an $L \sim 3\times 10^4 L_\odot$ source for $\sim 10^4$ yr. A dusty wind may develop... | CommonCrawl |
For more information, contact Richard Kent.
Abstract: The divergence of a pair of geodesic rays emanating from a point is a measure of how quickly they are moving away from each other. In Euclidean space divergence is linear, while in hyperbolic space divergence is exponential. Gersten used this idea to define a quasi-... | CommonCrawl |
This page presents a follow-up work on our CVPR'18 paper, we improved the proposed weakly-supervised 3D shape completion approach, referred to as amortized maximum likelihood (AML), as well as created two high-quality, challenging, synthetic benchmarks based on ShapeNet and ModelNet . We also presented extensive exper... | CommonCrawl |
Let $p$ be a prime number, $V$ a complete discrete valuation ring of unequal caracteristics $(0,p)$, $G$ a smooth affine algebraic group over Spec $V$. Using partial divided powers techniques of Berthelot, we construct arithmetic distribution algebras, with level $m$, generalizing the classical construction of the dist... | CommonCrawl |
Learning a new skill by observing another individual, the ability to imitate, is a key part of intelligence in human and animals. Can we enable a robot to do the same, learning to manipulate a new object by simply watching a human manipulating the object just as in the video below?
The robot learns to place the peach i... | CommonCrawl |
every nonconstant polynomial over $F$ is a product of linear factors.
Proof. If $F$ is algebraically closed, then every irreducible polynomial is linear. Namely, if there exists an irreducible polynomial of degree $> 1$, then this generates a nontrivial finite (hence algebraic) field extension, see Example 9.7.6. Thus ... | CommonCrawl |
Abstract: The static gluon-quark-antiquark interaction is investigated using lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a $24^3 \times 48$ periodic lattice with $\beta = 6.2$, the potential energy of the system is measured for different geometries. For ... | CommonCrawl |
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