Partial Differentiation of Real Binary Functions

Abstract

In this article, we define two single-variable functions SVF1 and SVF2, then discuss partial differentiation of real binary functions by dint of one variable function SVF1 and SVF2. The main properties of partial differentiation are shown [7].

Second-Order Partial Differentiation of Real Ternary Functions

“…The notation and terminology used here have been introduced in the following papers: [6], [11], [12], [1], [2], [3], [4], [5], [7], [16], [17], [13], [8], [15], [10], and [9].…”

Partial Differentiation of Real Ternary Functions

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In this article, we shall extend the result of [19] to discuss partial differentiation of real ternary functions (refer to [8] and [16] for partial differentiation).

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Second-Order Partial Differentiation of Real Binary Functions

“…In this article we define second-order partial differentiation of real binary functions and discuss the relation of second-order partial derivatives and partial derivatives defined in [17]. …”

“…The articles [15], [3], [4], [16], [5], [10], [1], [8], [11], [9], [2], [14], [6], [13], [12], [7], and [17] provide the notation and terminology for this paper.…”