阶梯函数

对均匀块的每一行（或列）分别使用自适应的Sigmoid函数代替阶梯函数，以消除块效应；

For each row ( or column ) of the homogeneous blocks , an adaptive Sigmoid function is used to replace the step function to reduce blocking artifacts .

内表面的增加可以用Heaviside阶梯函数来描述，它的微分为Dirac函数。

The increase of the area of the inner surface can be considered as Heaviside step function , its derivative is Dirac delta function .

本文对含有阶梯函数、Dirac函数的简支梁挠曲线的四阶微分方程进行Laplace变换，然后再进行逆变换，求出原函数，最后利用边界条件推导并建立连续梁的新三弯矩方程。

New equation is derived from an object function by means of initial values af-ter the differential equation of deflection in the simply supported beam with step func-tion , and dirac function is laplace transformed and inverse transformed .

在高维空间中引入阶梯函数来刻划Mcshane积分，进一步揭示了Mcshane积分与Lebesgue积分之间的内在联系。

This essay introduces the step function to describe the Mcshane integration in a higher dimensional space which shows the inner relationship between the Mcshane integration and the Lebesgue integration .

在地球物理反演中，通常归结为阶梯函数的第一类Fredholm积分方程，文中给出了该积分方程的沃尔什函数解法。由第一类Fredholm积分方程所描述的电磁逆散射问题是非适定问题。

A solution to the first kind of Fredholm integral equation is developed for step functions by means of Walsh function . The electromagnetic inverse scattering problem governed by the first kind of Fredholm integral equation is an ill-posed problem .

关于单位园周上阶梯函数的性质

On the Properties of the Step Function on the Unit Circle

阶梯函数逼近阶与若干函数类的特征

Degree of Approximation by Step Functions and Characterization of Some Function Spaces

极小化有限个阶梯函数和的一种分枝定界算法

A branch-and-bound algorithm for minimizing a finite sum of staircase function under linear constraints

用阶梯函数解梁的问题

Solution to problems of beam by step function

应用广义阶梯函数解圆板的塑性极限分析问题

The Generalized Step Function is Applied to the Platic Limit Analysis of Circular Plates

基于广义阶梯函数解矩形域的纵向剪切问题

A Solution to the Problem of the Longitudinal Shear of Rectangular Region Based on Generalized Step Function

应用广义阶梯函数解变刚度超静定梁的弯曲问题

Apply Generalized Step Function to Solve the Bending Problem of Statically Indeterminate Beams with Variable Flexural Rigidity

首先借助阶梯函数，建立了含有任意分布的用作执行器的压电片的梁挠曲轴线方程。

Applying Heaviside function , the equations governing the beam that possessing spatially distributed piezoelectric patches have been established .

同时进一步得到了其定态解诱导出的迭代映射的拓扑熵为2维的阶梯函数，这是一个真正意义上的空间魔鬼阶梯函数。

Moreover , the spatial entropy function of the map is two-dimensional and can be obtained explicitly as a space devil-staircase .

应用广义阶梯函数来表示载荷，然后再将其展开成傅立叶级数形式，推导出纵向剪切问题的位移计算公式。

The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived .

论述了阶梯函数逼近的思想方法，并将其应用到下述几个方面：（1）用阶梯函数逼近连续函数；

Illustrates the way of Staircase function approximation and the application in follow four aspects ( 1 ) Approximation of continuous functions by staircase function s ;

本文应用广义阶梯函数对承受边缘弯矩和局部线性分布荷载的简支圆板进行塑性极限分析。

In thia paper , the generalized step function is applied to the plastic limit analysis of simply supported circular plates under edge moments and local linear load .

在文献[1]的基础上，进一步将广义阶梯函数应用于环板在复杂荷载作用下的塑性极限分析问题。

In this paper , on the basis of the reference [ 1 ] , further , the generalized step function is applied to the plastic limit analysis of annular plates under complicated loads .

根据变截面高层框筒结构的截面沿高度为阶形变化的特点，本文用阶梯函数表达其变截面抗弯刚度和抗剪刚度；

According to the behavior of tapered framed-tube structures , that is to be stepped change along height , the variable flexural stiffness of the structures at various levels and shear stiffness of the structures at various levels are expressed by the step function .

与其他判别训练算法不同，MSR算法直接使用阶梯形函数作为其损失函数。

Unlike other discriminative methods , MSR directly takes a step function as its loss function .

利用阶梯输出函数的各台阶记忆不同灰度，实现了灰度模式的CNN联想记忆。

Using the different steps of the multi-step output function to store different values of pixels , the CNN associative memory of gray-scale patterns is realized .

采用非等间隔的阶梯加权函数取代了MLFD中的线性加权函数。

It uses a fragmental ladder function to substitute a linear function of MLFD .

带阶梯输出函数的细胞神经网络

Cellular Neural Networks with Multi - Step Output Function

线性阶梯式函数发生器

Linear staircase function generator

指数型间断函数具有在数学上的便于积分和求导的优点，且比阶梯间断函数更能反映实际破裂后的变形情况。

That discontinuous function is not only convenient for integral and derivative , but also can be better reflect the displacement character after crack than heaviside function .

文章揭示了作为某一资源的影子价格函数是阶梯下降函数，具有经济意义的影子价格不完全等同于对偶问题的解。

The article reveals that the shadow price function of a certain resource is a ladder decreased function . The shadow price with economic meaning is not absolutely equal to the solution of dual linear programming .

利用Heaviside函数的阶梯性及Gaussian函数的突变性模拟了冻土相变过程能量的突变，提高了数值求解收敛的速度和稳定性。

The phase change phenomena of frozen soil were simulated based on Characteristics of Heaviside staircase function and Gaussian jump function , and convergence and stability were improved .

求解超静定阶梯轴的奇异函数法

Singularity Function Method to Solve Statically Indeterminate Stepped Shaft

该关系式为阶梯递减右连续函数，阶梯数等于接收天线数目。

The formula is a step decreasing and right continuous function , and the number of steps is equal to the number of receiving antennas .

由于其使用的是阶梯形的损失函数，因此可以广泛应用于自然语言处理的各个领域，如拼写校正和机器翻译。

Given its step loss function , MSR / MSR-II could be widely applied to many fields of NLP , such as spelling check and machine translation .