Abstract: In this study, we establish a dynamic assessment test system in the topic of "limit and continuous functions" and analyze its functional efficiency. In the first year, a paper-and-pencil ...

The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique ...

The continuum calculus proposed previously [L. L. Lee, J. Math. Phys. 17, 1988 (1976)] is here extended to the study of continuous differentiation of a functional. The result, called HCFD, is shown to ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Can you think of your life where nothing changed? Those moments are rare, as everything in our life is subject to transformation. The amount of food we eat every day, the number of steps we take, and ...

ABSTRACT: This paper reproduces the main result of Duffie and Singleton [1] and extends it to defaultable bonds with both continuous and periodic coupon payments. Specifically, if the recovery of a ...