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 product of sum
 For both green and diseased surfaces the leaf area, or its horizontal component, was calculated as the product of sum of records and the grid cell size. He also showed that a PBF has exactly one sum-of-product form or one product-of-sum form produced by morphological operations.
 For those Boolean functions which can be monotonically decomposed, we present two classes of direct methods for monotone decomposition again in this paper. The first class of methods is available for canonical product of sums form and the second one is available for arbitrary boolean expressions. They also can ba performed on computers easily. 对于可单调分解的布尔函数,本文再次给出两类直接的单调分解法.第一类方法适用于和之积范式,第二类方法适用于任意布尔表达式.这些方法不难在计算机上实现. In the design of MOS ternary logic circuits, the logic function is always expressed in the form of products of sum. First, it is necessary to get the minimal iveverse function of ternary lattice algebra logic function in the form of sum of products by means of minimizing the ternary logic function in Karnaugh maps or tables. By using the Shannon's theorem, it should be obtained to the minimization for ternary logic function in the form of products of sum conveniently at last. 在三值逻辑电路设计中 ,逻辑函数经常采用POS形式 .为此 ,利用三值K图法最小化规则或者表格法最小化规则 ,先获得所求三值格代数逻辑函数最小化POS形式的反函数 ,再利用香农定律 ,最终可方便地获得该三值逻辑函数最小化POS形式 . Utilized the general theory of multimode squeezed state, the squeezing properties of a new kind of multimode superposition state which composed by multimode functional coherent state and multimode functional imaginary coherent state is studied, and it is found that, when the products of sum-number of cavity-modes and squeezing number is an even number, the state can present equal-power sum squeezing effect in some special equal-phase-surface; The spatial distribution of classical intensity of the... Utilized the general theory of multimode squeezed state, the squeezing properties of a new kind of multimode superposition state which composed by multimode functional coherent state and multimode functional imaginary coherent state is studied, and it is found that, when the products of sum-number of cavity-modes and squeezing number is an even number, the state can present equal-power sum squeezing effect in some special equal-phase-surface; The spatial distribution of classical intensity of the light-field has a direct influence upon the squeezed degree and the squeezed depth of generalized nonlinear equal-power sum-squeezing of the state ,and with the change of the spatial distribution of classical intensity of each mode, the squeezed degree and the squeezed depth of each mode of the state are anisotropic in spatial distribution. 利用多模压缩态的一般理论,研究了由多模泛函相干态光场和多模泛函虚相干态光场组成的一种两态叠加多模泛函叠加光场的高次和压缩特性,结果发现,当腔模总数和压缩次数之积为偶数时,在光场的某些特定等相位面上,态总可呈现等幂次和压缩效应,各模经典强度的空间分布函数对态的高次和压缩效应的压缩程度和压缩深度产生直接的影响,随着光场经典强度空间分布函数的变化,态中不同模所呈现的高次和压缩效应的压缩程度和压缩深度在空间的分布是各向异性的.
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