GUPTE, RUCHIR. Interval Arithmetic Logic Unit for DSP and Control Applications. (Under the direction of Prof. William W. Edmonson). There are many applications in the field of digital signal processing (DSP) and controls that require the user to know how various numerical errors (uncertainty) affect the result. Interval Arithmetic (IA) eliminates this uncertainty by replacing non-interval value...

We introduce SRI’s new speech recognition engine, DynaSpeak, which is characterized by its scalability and flexibility, high recognition accuracy, memory and speed efficiency, adaptation capability, efficient grammar optimization, support for natural language parsing functionality, and operation based on integer arithmetic. These features are designed to address the needs of the fast-developing...

Fault tolerance requires the inclusion of redundant information. In this paper an on-line error detecting adder is presented in which the redundant information serves a dual purpose. It provides fault tolerance during the arithmetic operations while also providing a method by which addition is constrained to become a constant delay operation regardless of the word size of the operands.

The paper considers a generalization of Peano arithmetic, Hilbert arithmetic as the basis world in Pythagorean manner. unifies foundations mathematics (Peano and set theory), physics (quantum mechanics information), philosophical transcendentalism (Husserl’s phenomenology) into formal theory mathematical structure literally following Husserl’s tracе “philosophy rigorous science”. In pathway to ...

We study the representability problem for torsion-free arithmetic matroids. By using a new operation called "reduction" and "signed Hermite normal form", we provide implement an algorithm to compute all representations, up equivalence. As application, disprove two conjectures about poset of layers independence toric arrangement.

Given inputs ~1,. . . , z,,, which are independent identically distributed random variables over a domain D, and an associative operation o, the probabilistic prej?x computation problem is to compute the product ~1 o x2 o . . . o xn and its n 1 prefixes. Instances of this problem are finite state transductions on random inputs, the addition or subtraction of two random n-bit binary numbers, and...

Understanding the meaning of abstract mathematical symbols is a cornerstone of arithmetic learning in children. Studies have long focused on the role of spatial intuitions in the processing of numerals. However, it has been argued that such intuitions may also underlie symbols that convey fundamental arithmetic concepts, such as arithmetic operators. In the present cross-sectional study, we use...