Výsledky vyhledávání - "Johnson, Wayne A."

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Autor: Johnson, Wayne A., Lee, Dae-Woong, Staecker, P. Christopher

In this article, we investigate properties of digital H-spaces in the graph theoretic model of digital topology. As in prior work, the results obtained often depend fundamentally on the choice between NP$_1$ and NP$_2$ product adjacencies. We explore

Externí odkaz: http://arxiv.org/abs/2408.10087

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An explicit formula for the Hilbert series of a partial flag variety

Autor: Johnson, Wayne A.

For a semisimple, simply-connected linear algebraic group, $G$, and parabolic subgroup, $P\subseteq G$, we use the fact that the Hilbert polynomial of the equivariant embedding of $G/P$ is equal to the Hilbert function to compute an explicit formula

Externí odkaz: http://arxiv.org/abs/2310.10932

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An Euler operator approach to Ehrhart series

Autor: Johnson, Wayne A.

We use the ordinary Euler operator to compute the Ehrhart series for an arbitrary lattice polytope. The resulting formula involves the coefficients of the Ehrhart polynomial, combined via Eulerian numbers. We use this to compute $h^*_{d-1}$ in terms

Externí odkaz: http://arxiv.org/abs/2303.16991

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Exponential Hilbert series and hierarchical log-linear models

Autor: Johnson, Wayne A.

Consider a hierarchical log-linear model, given by a simplicial complex, $\Gamma$, and integer matrix $A_\Gamma$. We give a new characterization of the rank of $A_\Gamma$ given by a logarithmic transformation on the exponential Hilbert series of $\Ga

Externí odkaz: http://arxiv.org/abs/2211.03765

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Mid-Air Helicopter Delivery at Mars Using a Jetpack

Mid-Air Helicopter Delivery (MAHD) is a new Entry, Descent and Landing (EDL) architecture to enable in situ mobility for Mars science at lower cost than previous missions. It uses a jetpack to slow down a Mars Science Helicopter (MSH) after separatio

Externí odkaz: http://arxiv.org/abs/2203.03704

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Motivations and Preliminary Design for Mid-Air Deployment of a Science Rotorcraft on Mars

Mid-Air Deployment (MAD) of a rotorcraft during Entry, Descent and Landing (EDL) on Mars eliminates the need to carry a propulsion or airbag landing system. This reduces the total mass inside the aeroshell by more than 100 kg and simplifies the aeros

Externí odkaz: http://arxiv.org/abs/2010.06630

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