I was pleased to see that my column inspired several articles in the popular media, including an upcoming article in Vogue magazine. My column also elicited feedback from my faculty colleagues and several LPI supporters around the country. One loyal donor from New York wrote me, “I do everything you do. So maybe that’s why I just passed my 95th birthday.” He continued, “Two things that I do tha...

Generic programming (GP) is an increasingly important trend in programming languages. Well-known GP mechanisms, such as type classes and the C++0x concepts proposal, usually combine two features: 1) a special type of interfaces; and 2) implicit instantiation of implementations of those interfaces. Scala implicits are a GP language mechanism, inspired by type classes, that break with the traditi...

Concepts—sets of abstractions related by common requirements— have a central role in generic programming. This paper proposes a general framework for using concepts to control polymorphism in different ways. First, concepts can be used to constrain parametric polymorphism, as exemplified by type classes in Haskell. Second, concepts can be used to provide fine-grained control of function and ope...

It is attempted to extend a two-step without memory method to it's with memory. Then, a new two-step derivative free class of without memory methods, requiring three function evaluations per step, is suggested by using a convenient weight function for solving nonlinear equations. Eventually, we obtain a new class of methods by employing a self-accelerating parameter calculated in each iterative...

In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers.  Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.

III The Library 5 III-A Function encode() . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 III-B Function decode() . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 III-C Class context model with hash keys . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 III-C.1 GiveProbability() . . . . . . . . . . . . . . . . ...

A \future" is a typed synchronization mechanism used to represent a value that will come into existence at some point in time after the creation of the future. In this paper, a polymorphic future type is introduced that di ers from previous mechanisms in that it provides a rst-class, extensible facility for expressing synchronized access to the typed result value of a concurrent computation. Th...