A LINEAR EXPANSION APPARATUS1

Fiber - Optic Sensing of Linear Thermal Expansion (RESEARCH NOTES)

The use of a LED fiber-optic sensor to measure displacement and linear thermal expansion is described. It has a sensitivity of about 0.6 mV/mm, a resolution of 1.25 mm, and a dynamic rang of 400 mm for displacement measurements. For thermal expansion, it shows a sensitivity of about 3.5 mV/C, and the experimental linear expansion values are in agreement with those calculated. The reported senso...

Delayed Linear Expansion of Two Ultra-low Expansion Dental Stones

Taylor expansion in linear logic is invertible

Each Multiplicative Exponential Linear Logic (MELL) proof-net can be expanded into a differential net, which is its Taylor expansion. We prove that two different MELL proof-nets have two different Taylor expansions. As a corollary, we prove a completeness result for MELL: We show that the relational model is injective for MELL proof-nets, i.e. the equality between MELL proof-nets in the relatio...

Nonadiabatic wavefunctions as linear expansion of correlated

We propose to expand the nonadiabatic solution of the Schrödinger equation as a linear combination of explicitly correlated exponentials. A series of trial wavefunctions has been optimized minimizing the variance of the local energy for the H2 + and dipositronium (Ps2) molecules in their ground state, without resorting to the Born-Oppenheimer approximation: the calculations have been performed ...

An Expansion Property of Boolean Linear Maps

Given a finite set K, a Boolean linear map on K is a map f from the set 2 of all subsets of K into itself with f(∅) = ∅ such that f(A∪B) = f(A)∪f(B) holds for all A,B ∈ 2 . For fixed subsets X,Y of K, to predict if Y is reachable from X in the dynamical system driven by f , one can assume the existence of nonnegative integers h with f(X) = Y , find an upper bound α for the minimum of all such a...