Division (mathematics)

About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.

Method and apparatus for executing division

Abstract: The invention relates to a method and an electronic apparatus implementing the method of executing division. In the method, an auxiliary divisor is retrieved from a look-up table stored in the electronic apparatus, the auxiliary divisor being a predetermined number generated by the product of the powers of the integer two and the reciprocal of the divisor. In the method, the division is executed in the electronic apparatus by multiplying the dividend of the division by the auxiliary divisor. The result of the division is scaled in the electronic apparatus in order to represent it in the desired form by shifting the result obtained by multiplying.

Frame for motorcycle

Abstract: PURPOSE:To improve rigidity, by a method wherein, when a head pipe is formed by means of curved parts located to the fronts of division frames on both sides, joint parts surrounding a ring member are integrally welded together in a state that the ring member is engaged between the curved parts. CONSTITUTION:A title frame is formed with division frames 10 and 20 in the shape of a square pipe on both sides which are molded by aluminum casting. Curved parts 11 and 21 approximately in a semiarcuate in cross section are formed in a protruding manner to the tips of the division frames 10 and 20, and the two curved parts 11 and 21 are mated to each other to form a head pipe H. The division frames 10 and 20 are extended rearward toward an oblique downward position, and a down pipe 15 or 25 and a rear pipe 16 or 26 are branched from a part of the division frame. Upper and lower ring members 30 and 32 are engaged with the upper and lower inner parts of curved spaces 13 and 23 of the division frames 10 and 20, and are welded to joint parts between the curved parts 11 and 21, upper and lower notch parts 12a, 12b and 22a, 22b, and the division frames 10 and 20.

An algorithm and hardware architecture for integrated modular division and multiplication in GF(p) and GF(2/sup n/)

Abstract: This work presents an algorithm and architecture that integrates modular division and multiplication in both GF(p) and GF(2/sup n/) fields (unified). The algorithm is based on the extended binary GCD algorithm for modular division and on the Montgomery's method for modular multiplication. For the division operation, the proposed algorithm uses a counter to keep track of the difference between two field elements and this way eliminate the need for comparisons which are usually expensive and time-consuming. The proposed architecture efficiently supports all the operations in the algorithm and uses carry-save unified adders for reduced critical path delay, making the proposed architecture faster than other previously proposed designs. Experimental results using synthesis for AMI 0.5 /spl mu/m CMOS technology are shown and compared with other dividers and multipliers.

Development of a Time-Division Switching Network Usable in a Very Large Range of Capacities

Abstract: Well adapted to medium size systems, the T switching networks fully proved the operational value of the time division principles. For higher capacities, the more usual realizations are now STS and mainly TST networks. These are attractive as the growth of the equipment proportional to the square of the number of subscribers is limited to the intermediate stage (or stages). Drastic improvements in semiconductor technology, particularly in the memory field, allow another step: mixing in the same I.C. can, the T and S stages. In this concept, staggering or even functional discrimination of T and S appears to be useless and artificial. The resulting matrix circuit has quite symmetrical input-outputs and the multiple incoming bit positions are distributed to the output in whatever time and space arrangement that is needed. This paper describes the networks based on this concept.