We stress a basic criterion that shows in a simple way how a sequence of real-valued functions can converge uniformly when it is more or less evident that the sequence converges uniformly away from a ...

A sequence of functions converges weakly to a function if it converges to the function in the sense of the dual pairing, that is, for every linear and continuous functional, the value of the ...

for. Hence the southeastern sequence converges to L. + Let us formulate a definition of pointwise Pringsheim convergence of functions so that we have a basis for studying. In particular, we will ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of ...

The sequence of a protein determines its structure and function. Despite this clear correlation, understanding the relationship between protein sequence and function is a complex and largely ...

As a first test of the model, we estimated the distribution of the "converging" and "diverging" RRI+/SBPand RRI-/SBP+ sequences in a group of 10 healthy subjects at rest in a quiet context, where an ...

Furthermore, we surprisingly find that the algorithm is convergent for any periodically switching graph sequence, but the converged solution minimizes a weighted sum of local cost functions, where the ...