Forms and Functions

Forms and functions of International and Local EFL Workbook Activities

English language teaching market (ELT) inundated with course book packages containing astudent’s book, a teacher’s guide, workbooks, CD’s, videos, and test materials. A host ofresearchers have focused on course book evaluation and analysis and considered the selectionand evaluation of materials as an essential procedure in order to enhance out comes for thelearners who use them. This study thru...

Quadratic Forms and Height Functions

Modular Functions and Modular Forms

These are the notes for Math 678, University of Michigan, Fall 1990, exactly as they were handed out during the course except for some minor revisions and corrections. Please send comments and corrections to me at [email protected].

Trigonometric functions, elliptic functions, elliptic modular forms

Gold and Kasami-Welch functions, quadratic forms, and bent functions

We use elementary facts about quadratic forms in characteristic 2 to evaluate the sign of some Walsh transforms in terms of a Jacobi symbol. These results are applied to the Walsh transforms of the Gold and KasamiWelch functions. We prove that the Gold functions yield bent functions when restricted to certain hyperplanes. We also use the sign information to determine the dual bent function.