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Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurate at smaller b) and an approximation for widely spaced roots (accurate for larger b). The difference reaches a minimum at the large dots, and round-off causes squiggles in the curves beyond this minimum.
Varian Medical Systems is an American radiation oncology treatments and software maker based in Palo Alto, California. Their medical devices include linear accelerators (LINACs) and software for treating cancer and other medical conditions with radiotherapy , radiosurgery , proton therapy , and brachytherapy .
Varian Associates was one of the first high-tech companies in Silicon Valley.It was founded in 1948 by Russell H. and Sigurd F. Varian, William Webster Hansen, and Edward Ginzton to sell the klystron, the first vacuum tube which could amplify electromagnetic waves at microwave frequencies, and other electromagnetic equipment.
Varian, Inc. was one of the largest manufacturers of scientific instruments for the scientific industry. [1] They had offerings over a broad range of chemical analysis equipment, with a particular focus on Information Rich Detection [ clarification needed ] and Vacuum technology.
Varian Medical Systems, a manufacturer of medical equipment; Varian, Inc., a manufacturer of scientific instruments, now part of Agilent Technologies; Varian Semiconductor, a supplier of equipment for semiconductor manufacturers, now part of Applied Materials; Varian Data Machines, a division of Varian Associates which made minicomputers
This algorithm can easily be adapted to compute the variance of a finite population: simply divide by n instead of n − 1 on the last line.. Because SumSq and (Sum×Sum)/n can be very similar numbers, cancellation can lead to the precision of the result to be much less than the inherent precision of the floating-point arithmetic used to perform the computation.
Using other definitions of beam width does not work. In principle, one could use a single measurement at the waist to obtain the waist diameter, a single measurement in the far field to obtain the divergence, and then use these to calculate the BPP. The procedure above gives a more accurate result in practice, however.
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.