Division (mathematics)

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

Magnetic length or angle measuring system having improved magnetic sensor arrangement

Abstract: A magnetic measuring instrument for measuring the relative position of two objects includes a scanning unit which incorporates a magnet positioned to scan a measuring division. The measuring division is provided with alternately magnetically conducting and magnetically non-conducting zones. Measuring signals of high signal quality are generated because the induction generated by the magnet in the measuring division runs only in planes perpendicular to the longitudinal extent of the measuring division (the measuring direction x). Magnetic field sensitive sensor elements in the air gap between the magnet and the measuring division scan the air gap induction to generate position dependent measuring signals.

Band allocation method and radio communication system

Abstract: A radio communication system for covering a service area with a plurality of cells and dividing and allocating a system band of each cell to a mobile station has a division pattern server and a base station. The division pattern server decides a division pattern indicating a pattern of dividing the system band which is commonly applied to a predetermined range to which the plurality of cells belong. The base station divides the system band into two or more bands, using the division pattern decided by the division pattern server, and allocates the band as a pilot transmission frequency band to the mobile station accommodated in the cell constructed by the base station. (Fig. 3)

A fast division algorithm for VLSI

Abstract: A novel and fast method for VLSI division is presented. The method is based on Svoboda's algorithm and uses the radix-2 signed-digit number system to give a divider in which quotient bit selection is a function of the two most significant digits of the current partial remainder. An n-bit divider produces an n-bit quotient in redundant form in 3n gate delays using n(n-1) controlled full add/subtract circuits. Operand pre-scaling necessary for the algorithm is accomplished by a single subtraction. >

Mutual division circuit

Abstract: A mutual division circuit includes a single mutual division unit or a plurality of cascaded mutual division units for dividing a polynomial including a first input polynomial Ri-1(X) as a factor by a second input polynomial Qi-1-(X), thereby to determine a quotient and a remainder Ri(X), determining an overall quotient λi(X) from the quotient and a third input polynomial λi-1(X), and producing the remainder R(X), the first input polynomial Ri-1(X) or the second input polynomial Qi-1(X), and the overall quotient x(X) as a first output polynomial Ri(X), a second output polynomial Qi(X), and a third output polynomial λi(X), respectively. The mutual division circuit also has a data selector (42) for receiving, at an input port thereof, respective initial polynomials of the first, second, and third input polynomials, and supplying output data to the single mutual division unit or a first one of the cascaded mutual division units, and a feedback or data bus (45) for supplying output data from the single mutual division unit or a last one of the the cascaded mutual division units to another input port of the data selector (42). The single mutual division unit or the cascaded mutual division units are used a plurality of times for carrying out arithmetic operations therein.