Advanced Interpretation of Field Cycling NMR Relaxometry Dispersion Profiles From Hard and Soft Materials. [PDF]
This review demonstrates that NMR dispersion profiles from fast field cycling NMR relaxometry can be interpreted with the 3‐Tau model for a broad spectrum of soft and hard materials. Meaningful physical quantities provide insight into surface chemistry, bound water density, pore size, aqueous or solid iron (III) density and the free water diffusion ...
Faux DA, Kogon R.
europepmc +2 more sources
On homological classification of pomonoids by regular weak injectivity properties of S-posets
Abstract If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different ...
Zhang Xia, Laan Valdis
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COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS [PDF]
In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies
Gholamreza Moghaddasi
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Paths to Understanding Birational Rowmotion on Products of Two Chains [PDF]
Birational rowmotion is an action on the space of assignments of rational functions to the elements of a finite partially-ordered set (poset). It is lifted from the well-studied rowmotion map on order ideals (equivariantly on antichains) of a poset $P ...
Musiker, Gregg, Roby, Tom
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A two-sided analogue of the Coxeter complex [PDF]
For any Coxeter system (W, S) of rank n, we introduce an abstract boolean complex (simplicial poset) of dimension 2n − 1 which contains the Coxeter complex as a relative subcomplex.
T. Kyle Petersen
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A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
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Superatomic Boolean algebras constructed from strongly unbounded functions [PDF]
Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that $\kappa,\lambda$ are infinite cardinals such that $\kappa^{+++} \leq \lambda$, $\kappa^{
Martinez, Juan Carlos, Soukup, Lajos
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Homomesy in products of two chains [PDF]
Many cyclic actions $τ$ on a finite set $\mathcal{S}$ ; of combinatorial objects, along with a natural statistic $f$ on $\mathcal{S}$, exhibit ``homomesy'': the average of $f$ over each $τ$-orbit in $\mathcal{S} $ is the same as the average of $f$ over ...
James Propp, Tom Roby
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On Morita equivalence of partially ordered semigroups with local units [PDF]
We show that for two partially ordered semigroups S and T with common local units, there exists a unitary Morita context with surjective maps if and only if the categories of closed right S- and T-posets are ...
Tart, Lauri
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Applications of stochastic analysis and algebra to machine learning [PDF]
In this thesis we consider the application of tools from stochastic analysis and algebra to statistics and machine learning. Most of these tools are different forms of what has become known as signature methods.
Bonnier, Patric Ossian Mauritz
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