Combined Balanced Ternary Number System: An Approach to a New Computational Number System combining The Ternary Number System and the Balanced Ternary Number System in the field of Computational Mathematics

Arithmetic Algorithms for Ternary Number System

The use of multi-valued logic in VLSI circuits can reduce the chip area significantly. Moreover, there are several additional advantages of using multi-valued logic in VLSI over the conventional Binary logic, such as energy efficiency, cost-effectiveness and so on. It has been shown that Base-3 number system is nearly optimal for computation. This paper is composed of two parts. In the first pa...

Brousentsov's Ternary Principle, Bergman's Number System and Ternary Mirror-symmetrical Arithmetic

We consider an original ternary number system called the ternary mirror-symmetrical number system in the article. It is a synthesis of the classical ternary symmetrical number system and the number system with an irrational base called Bergman’s number system. The main engineering result is a development of an original matrix and pipeline ternary mirror-symmetrical adder, which can be used for ...

The Number of Ternary Words Avoiding . . .

a study on construction of iranian life tables: the case study of modified brass logit system

چکیده ندارد.

Ternary quadratic forms over number fields with small class number

We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields. Finally, we list all definite quaternion orders of ideal class number 1 or 2.