Linear combinations of the carrier phase data which are independent of the ionospheric delays are referred to as ionosphere-free linear phase combinations. In the dual frequency case there exists only one such combination which at the same time ensures the integer estimability of the ambiguities. In the triple-frequency case there is a whole class of such linear combinations. We identify this c...

linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. the specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. the basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

It is shown that for any positive integer n and any function in Lp([0, 1]) with p ∈ [1,∞) there exists a best approximation by linear combinations of n characteristic functions of half-spaces. Further, sequences of such linear combinations converging in distance to the best approximation distance have subsequences converging to the best approximation, i.e., these linear combinations are an appr...

Mixed criteria are linear combinations of standard criteria which cannot be represented as standard criteria. Linear combinations of total discounted and average rewards as well as linear combinations of total discounted rewards with di erent discount factors are examples of mixed criteria. We discuss the structure of optimal policies and algorithms for their computation for problems with and w...

Mixed criteria are linear combinations of standard criteria which cannot be represented as standard criteria. Linear combinations of total discounted and average rewards as well as linear combinations of total discounted rewards are examples of mixed criteria. We discuss the structure of optimal policies and algorithms for their computation for problems with and without constraints.

In this article, we characterize the involutiveness of the linear combination of the forma1A1 +a2A2 when a1, a2 are nonzero complex numbers, A1 is a quadratic or tripotent matrix,and A2 is arbitrary, under certain properties imposed on A1 and A2.