## What is/are Simple Characterization?

Simple Characterization - When $n$ and $t$ have the same parity and $t\geq 2$, we give a simple characterization of those $t$-sorted permutations in $S_n$ that attain this maximum.^{[1]}Some simple characterizations of them are given.

^{[2]}Loewner’s theorem provides a simple characterization of \({\mathcal M}_\infty (a,b)\) but it is not so simple to describe which functions are in a general \({\mathcal M}_n(a,b)\).

^{[3]}Moreover, the role LC-MS plays throughout the discovery of new phenolic compounds, where applications range from simple characterization to full structure identification is deliberated.

^{[4]}In contrast, we show that the simple characterization of energy in terms of network spectrum does not exist for directed networks.

^{[5]}We extend this to modules and prove a simple characterization of when the mixed multiplicities are positive or zero on a finitely generated module.

^{[6]}We provide a simple characterization of the optimal securities.

^{[7]}This condition captures structural oscillatority by a simple characterization in terms of the network structure (more concretely, the number of inhibiting edges in each simple cycles), which enables us to apply it to large-scale Boolean networks.

^{[8]}Nevertheless, the preferred SCF scheme can be inferred on the basis of relatively simple characterization of the capital constraints in the supply chain.

^{[9]}We present a simple characterization of definable quotient types as being induced by idempotent functions, and an encoding of this in Cedille (a dependently typed programming language) in which both equational constraints and the packaging that associates these with elements of the carrier type are irrelevant, facilitating equational reasoning in proofs.

^{[10]}This result allows us to present a simple characterization of useful topologies t on X.

^{[11]}For these problems it is even possible to obtain a simple characterization of the adjoint of the Fr\'echet-derivative of the forward operator, which is of particular interest for the application of regularization schemes.

^{[12]}Testing the Beerkan infiltration run in other crusted soils and establishing comparisons with other experimental methodologies appear advisable to increase confidence on the reliability of the method that seems suitable for simple characterization of crusted soils.

^{[13]}The solution focuses on the simple characterization the elastic warping behavior of moment connections in a manner that allows them to interface seamlessly with existing beam buckling finite elements, thus providing means for realistically modelling the lateral torsional buckling of plane frames.

^{[14]}What can one say about the value $T$ of the sum of these $m$ integers itself? Which $T$ can be obtained if one considers all possible representations of $n$ as a sum of squares of $m$ integers? Denoting this set of all possible $T$ by $\mathscr{S}_m(n)$, Goldmakher and Pollack have given a simple characterization of $\mathscr{S}_4(n)$ using elementary arguments.

^{[15]}Stable isotope applications have evolved from simple characterizations of isotope composition in organisms and organic matter, to highly complex methodologies on scales ranging from individual compounds and cells, to broad ecosystem‐level approaches.

^{[16]}New technical development has widened the use of CMR imaging beyond the simple characterization of myocardial scars and assessment of contractility.

^{[17]}In this article, we provide a framework to analyze this problem using variational calculus techniques, allowing to treat general settings and to obtain a simple characterization of the optimality conditions which leads to an implementation in the form of a feedback-control system.

^{[18]}In this way, we are led to simple characterizations of unitary matrices in the set of normal matrices.

^{[19]}In particular, we obtain a simple characterization of the finite-blocklength behavior of the scheme, showing that it approaches the optimal dispersion coefficient for high signal-to-noise ratio.

^{[20]}The Darmois-Skitovich theorem is a simple characterization of the normal distribution in terms of the independence of linear forms.

^{[21]}The usefulness of the application of TG for lignocellulosic content determination was verified, allowing useful and simple characterization of biomass for thermochemical conversion processes.

^{[22]}For locally compact spaces, a simple characterization is obtained in terms of the relative interior.

^{[23]}In this note, we come up with simple characterizations of a graph G such that k G has all [ 1 , k ] -factors or all fractional [ 1 , k ] -factors.

^{[24]}, when \(Z_i\) can take real numbers as values, simple characterizations of real positive and copositive symmetric quadratic forms are given, for example, by Hajja (Math Inequal Appl 6:581–593, 2003).

^{[25]}This graph, together with a simple characterization of the GPU and the execution configuration, is used by a simulator to mimic the execution of the code.

^{[26]}Although the parameter space of the search is limited due to the numerical performance of the dynamic rupture simulation, the proposed simple characterization of the earthquakes source confirms the scaling relation in fracture energy of the seismogenic asperities, which is essential for constructing mechanical earthquake source models.

^{[27]}We provide a simple characterization of generalized Fitch graphs $(K_{|X|},\epsilon)$ and give an $O(|X|^2)$-time algorithm for their recognition as well as for the reconstruction of a least resolved phylogenetic tree that explains $(K_{|X|},\epsilon)$.

^{[28]}In both single and multi-receiver settings, as well as under a variety of constraints on payments, we employ duality to obtain structural insights, as well as tractable and simple characterizations of optimal policies.

^{[29]}It is shown, among other things, that the gap between the rate-distortion functions associated with these two scenarios admits a simple characterization in the large ℓ limit.

^{[30]}With this approach we obtain efficient simulation capability and a very simple characterization of distinct types of regular or complex motion.

^{[31]}Coarse-grained (CG) models can provide computationally efficient and conceptually simple characterizations of soft matter systems.

^{[32]}We consider a Schrodinger operator L = − d 2 / d x 2 + V ( x ) on R , where V is a real-valued measurable function, and give an explicit and simple characterization of intrinsic ultracontractivity (IU) of the Schrodinger semigroup generated by L for a wide class of potentials.

^{[33]}We provide a simple characterization for the optimal rating system as the solution to a standard k-means clustering problem, and discuss its connection to supply elasticity and the skewness of firm qualities.

^{[34]}This view is particularly powerful and often leads to surprisingly simple characterizations of complicated system behaviors.

^{[35]}Relying on the foregoing result, this paper also provides a simple characterization of majority judgment with an odd number of agents by anonymity, bi-idempotence and strategy-proofness on rich single peaked domains.

^{[36]}Simple characterizations of these linear codes to be LCD or self-orthogonal are presented.

^{[37]}We give a simple characterization of such a channel, which implies an efficient algorithm.

^{[38]}We then derive a closed-form upper bound for the mean latency, which provides a simple characterization of the latency performance.

^{[39]}As a corollary, a simple characterization of the degree sequence pair of bipartite-split graphs is also given.

^{[40]}A simple characterization was effected, using bivariate techniques (t-Student and ANOVA) and post hoc tests.

^{[41]}In this paper, we show how, given two nodes with the same clustering coefficient, the topology of their neighbourhoods can be significantly different, which demonstrates the need to go beyond this simple characterization.

^{[42]}In conclusion, having images with infographics and a detailed and simple characterization of the product is a decisive criterion for buyers when making an electronic purchase, the brain always seeks the simple.

^{[43]}