This issue of Zygon: Journal Religion and Science contains a Symposium on “human uniqueness” that derives from symposium hosted by the Department Zoology at Harvard University initially in March 2020 subsequently April 2022, under title “Just How Special Are Humans Really? Insights Science, Philosophy, Theology Mystery Human Uniqueness.” For an introduction to this Symposium, I refer reader fir...

We present two type systems for graph rewriting: conventional typing and (polymorphic) uniqueness typing. The latter is introduced as a natural extension of simple algebraic and higher-order uniqueness typing. The systems are given in natural deduction style using an inductive syntax of graph denotations with familiar constructs such as let and case. The conventional system resembles traditiona...

In this paper we present a type system for graph rewrite systems uniqueness typing It employs usage information to deduce whether an object is unique at a certain moment i e is only locally accessible In a type of a function it can be speci ed that the function requires a unique argument object The correctness of type assignment guarantees that no external access on the original object will tak...

Fishburn, P. A subset S of N " = { 1,2,. , N} " is a discrete set of uniqueness if it is the only subset of N " with projections P,, Sets of uniqueness and additive sets are characterized by the absence of certain configurations in the lattice N ". The characterization shows that every additive set is a set of uniqueness. If n = 2, every set of uniqueness is also additive. However, when II 3 3,...

FOLLOING OUR PREVIOS PROJECT [1], WE ARE GOING TO PROVE THE EXISTENCE AND UNIQUENESS OF THE SOLUTION OF THE SPECTRAL PROBLEM IN THIS PROJECT.FIRST,WE HAVE PROVEN THE UNIQUENESS OF THE SOLUTION THEN TO PROVE THE EXISTRNCE WE CONSTENSS OF THE ADJOINT PROBLEM CORRESPONDING TO THIS SPECTRAL PROBLEM NEXT THE UNIQUESS OF THE ADJOINT PROBLEM IS THE EXISTENCE OF THE MAIN PROBLEM AS DISCUSSED BY[2] AND ...

In optical tomography, conventionally the diffusion approximation (DA) to the radiative transport equation (RTE) with a constant refractive index is used. The existence, uniqueness, and non-uniqueness of the forward and the inverse problem using conventional DA has been studied in the past. In this report, we investigate the existence, uniqueness, and non-uniqueness of optical tomography forwar...

in this paper, we prove some coupled coincidence point theorems for mappings with the mixedmonotone property and obtain the uniqueness of this coincidence point. then we providing useful examples in nash equilibrium.

External uniqueness is a novel form of unique pointers that fit more natural with object-oriented programming. External uniqueness enforces the structural property that a unique pointer is a dominating node to the aggregate it references—there may be no other pointer from outside the aggregate to objects in it in the rest of the system. This paper completes previous work by the authors (Clarke ...