Some schedules involving aversive control1

Dispatchable Execution of Schedules Involving Consumable Resources

Earlier work on scheduling by autonomous systems has demonstrated that schedules in the form of simple temporal networks, with intervals of values for possible event-times, can bc maxle "dispatchable~, i.e. executable incrementally in real time with guarantees against failure due to unfortunate cvcnt-time selections. In this work wc show how the property of dispatchabi]ity can be extended to ne...

Some Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions

A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...

Some Relationships Involving Subordination

If X(t) is a stochastic process taking values in some space 9C and g is a real-valued function on 9C then we may consider the process g(X(t)). Often from some knowledge about the process X(t) and the function g one can deduce properties of the process g(X(t)). For example: if X(t) is Brownian motion in R" and g is a subharmonic function on Rn that doesn't grow too fast then g(X(t)) is a semimar...

Some Distributions Involving Bessel Functions

Some Congruences Involving Euler Numbers

In this paper, we obtain some explicit congruences for Euler numbers modulo an odd prime power in an elementary way.