Division (mathematics)

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

3d zoom imager

Abstract: A 3D imager comprising two cameras having fixed wide-angle and narrow angle FOVs respectively that overlap to provide an active space for the imager and a controller that determines distances to features in the active space responsive to distances provided by the cameras and a division of the active space into near, intermediate, and far zones.

Liquid level change detector

Abstract: This application is a division of my pending application, Serial No. 43,394, filed October 3, 1935, and relates to apparatus and method for detecting changes in liquid level, and more particularly to such apparatus and method as are adapted for use with mechanical refrigerators for actuating...

Accelerating correctly rounded floating-point division when the divisor is known in advance

Abstract: We present techniques for accelerating the floating-point computation of x/y when y is known before x. The proposed algorithms are oriented toward architectures with available fused-mac operations. The goal is to get exactly the same result as with usual division with rounding to nearest. It is known that the advanced computation of 1/y allows performing correctly rounded division in one multiplication plus two fused-macs. We show algorithms that reduce this latency to one multiplication and one fused-mac. This is achieved if a precision of at least n+1 bits is available, where n is the number of mantissa bits in the target format, or if y satisfies some properties that can be easily checked at compile-time. This requires a double-word approximation of 1/y (we also show how to get it). Compilers to accelerate some numerical programs without loss of accuracy can use these techniques.