All Admissible Linear Estimates of the Mean Vector

on the effect of linear & non-linear texts on students comprehension and recalling

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Admissible Makespan Estimates for PDDL2.1 Temporal Planning

Though recent renewed interest in “expressive” temporal planning, as exemplified by PDDL2.1, has led to advances, few such planners to date can guarantee optimality, or even bounded suboptimality, w.r.t. plan makespan. As a step towards improving planners’ awareness of the quality of their plans, we describe three ways of obtaining lower bound functions, i.e., admissible heuristics, for plan ma...

All Admissible Meromorphic Solutions of Hayman’s Equation

We find all nonrational meromorphic solutions of the equation ww′′ − (w′)2 = α(z)w + β(z)w′ + γ (z), where α, β, and γ are rational functions of z. In so doing, we answer a question of Hayman by showing that all such solutions have finite order. Apart from special choices of the coefficient functions, the general solution is not meromorphic and contains movable branch points. For some choices f...

5 Admissible Semi - Linear Representations

The category of admissible (in the appropriately modified sense of representation theory of totally disconnected groups) semi-linear representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of the field of algebraic complex numbers is described. Let k be a field of characteristic zero containing all ℓ-primary roots of unity for a prime ℓ, F...

Admissible vector fields and quasi-invariant measures∗