This paper describes a Generalized Minimum Variance Control (GMVC) strategy for time varying systems (TVS). If GMVC applies to TVS, be conscious of the time varying multiplication, such as multiplying that comprises of more than two polynomials. In TVS, the time varying multiplication includes the time shift operator. The calculation of time shift multiplication was proposed by Zhen. Li. Howeve...

Modular multiplication of large integers is a performancecritical arithmetic operation of many public-key cryptosystems such as RSA, DSA, Diffie-Hellman (DH) and their elliptic curve-based variants ECDSA and ECDH. The computational cost of modular multiplication and related operations (e.g. exponentiation) poses a practical challenge to the widespread deployment of public-key cryptography, espe...

The double-precision floating-point arithmetic, specifically multiplication, is a widely used arithmetic operation for many scientific and signal processing applications. In general, the double-precision floating-point multiplier requires a large 53 × 53 mantissa multiplication in order to get the final result. This mantissa multiplication exists as a limit on both area and performance bounds o...

Multiplication is most commonly used operation in mathematics. Integer multiplication is used commonly in the real world, binary multiplication is the basic multiplication used for the integer multiplication. Systolic algorithms are the efficient algorithms to perform the binary multiplication [1]. Systolic array is an arrangement of processors in an array where data flows synchronously across ...

We investigate theories of initial segments of the standard models for arithmetics. It is easy to see that if the ordering relation is definable in the standard model then the decidability results can be transferred from the infinite model into the finite models. On the contrary we show that the Σ2–theory of multiplication is undecidable in finite models. We show that this result is optimal by ...

We define Jacobi forms with complex multiplication. Analogous to modular multiplication, they are constructed from Hecke characters of the associated imaginary quadratic field. From this construction we obtain a form which specializes η(τ)26 present highlight an open question Dyson and Serre. give other examples applications multiplication including constructing theta blocks elliptic curves new...

MULTIPLICATION AND DIVISION ARE CONCEPTUALLY INVERSELY RELATED Each division problem can be transformed into as a multiplication problem and vice versa. Recent research has indicated strong developmental parallels between multiplication and division in primary school children. In this study, we were interested in (i) whether these developmental parallels persist into secondary school, (ii) whet...

An important factor affecting the micropropagation is the quality and rate of shoot multiplication. The objectives of this work are to study the effect of concentration and BA continuous presence, and the addition of activated charcoal during two periods of culture on Berberis buxifolia morphogenesis processes during in vitro shoot multiplication. The addition of BA in the three subcultures fav...