scholarly journals Upper Bounds on Algebraic Immunity of Boolean Power Functions

2006 ◽  
pp. 375-389 ◽  
Author(s):  
Yassir Nawaz ◽  
Guang Gong ◽  
Kishan Chand Gupta
Keyword(s):  
Upper Bounds ◽  
Algebraic Immunity ◽  
Power Functions ◽  
Boolean Power

Linear codes from vectorial Boolean power functions

2020 ◽  
Vol 67 ◽  
pp. 101726
Author(s):  
Yuan Chen ◽  
Xiangyong Zeng ◽  
Li Zhang ◽  
Benchang Xiao
Keyword(s):  
Linear Codes ◽  
Power Functions ◽  
Boolean Power

scholarly journals A Class of Volterra-Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yange Huang ◽  
Wu-Sheng Wang ◽  
Yong Huang
Keyword(s):  
Difference Equations ◽  
Upper Bounds ◽  
Power Functions ◽  
Fredholm Type ◽  
Analysis Techniques ◽  
Weakly Singular

We discuss a class of Volterra-Fredholm type difference inequalities with weakly singular. The upper bounds of the embedded unknown functions are estimated explicitly by analysis techniques. An application of the obtained inequalities to the estimation of Volterra-Fredholm type difference equations is given.

Methodology for determining water losses from irrigation canals

2020 ◽  
pp. 16-18
Author(s):  
Elena Makarycheva
Keyword(s):  
Filtration Rate ◽  
Darcy Law ◽  
Filtration Flow ◽  
Irrigation Canals ◽  
Power Functions ◽  
Two Phase ◽  
Water Losses ◽  
Irrigation Channels ◽  
Unsteady Filtration ◽  
S Curve

The aim of the article is to develop a method for calculating water losses from irrigation channels in determining the permeability of rock in the zone of filtration flow on the basis of the law of infiltration A.N. Kostyakov using the results of studies of free filtration from pits and foundation pits in loess loams. Pressure movement of water in irrigation canals is subject to the laws of two-phase flow, in which – in contrast to the Darcy law for the zone of saturation plays an important role, the volume and its change in time. The filtration rate (VF) increases with increasing rock moisture (θ) along the S-curve, while the pressure gradient (I = dh/dz) decreases. The dependences of these parameters on the pressure are represented by power functions, and their product CDP = VFI does not change in time and can serve as a characteristic of the filtration flow under the channel. When installing paired piezometers near the water chore line in the channel and determining the graph I(t) by the value of the twophase flow constant CDP, it is possible to calculate the filtration rate at a number of times and the water losses during unsteady filtration. Water losses from the channels at equilibrium humidity increases with increasing head according to the formula A.N. Kostyakova, in which the water permeability of rocks is characterized by a steady filtration rate at a head of 1.0 m, and the gradient is the function of pressure. The application of the proposed method of calculating losses in the design of irrigation systems will increase the reliability of the justification of the volume of anti-filtration measures and the forecast of the groundwater level.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

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