scholarly journals ON NUMERICAL ESTIMATE OF LIMITS OF MAXIMAL MEAN FOR PERIODIC FUNCTIONS

2017 ◽  
Vol 19 (9.1) ◽  
pp. 22-27
Author(s):  
A.N. Lepilov
Keyword(s):  
Periodic Function ◽  
Numerical Method ◽  
Numerical Estimate ◽  
Periodic Functions ◽  
Method Of Calculation ◽  
Definition Of

The scheme of definition of an error of numerical method of calculation of limit of maximal mean for periodic function is offered. The example of calculation of limit of maximal mean is considered.

scholarly journals NUMERICAL METHOD OF AN EVALUATION OF LIMITS OF MAXIMAL MEANS FOR PERIODIC FUNCTIONS

2017 ◽  
Vol 17 (8) ◽  
pp. 45-49
Author(s):  
A.N. Lepilov
Keyword(s):  
Periodic Function ◽  
Numerical Method ◽  
Differential Inclusion ◽  
Approximate Calculation ◽  
Periodic Functions ◽  
Right Hand

The method of approximate calculation of limit of maximal mean for periodic function depending on the time and basic variables and differential inclusion with a constant right hand is offered.

METHODOLOGICAL APPROACHES TO SEARCH FOR RESERVES OF DECREASING COSTS IN THE BRANCHES OF AGRICULTURAL PRODUCTION

2019 ◽  
Keyword(s):  
Agricultural Production ◽  
Raw Materials ◽  
Cost Calculation ◽  
Cattle Breeding ◽  
Method Of Calculation ◽  
Prime Cost ◽  
Dairy Cattle Breeding ◽  
Methodological Approaches ◽  
Definition Of ◽  
Qualitative Characteristics

In this article approaches to search for reserves of decrease in cost of agricultural production are considered. The methods of cost calculation of dairy cattle breeding products used at the studied enter-prise are analysed, short characteristic of the standard method offered by the Ministry of Agriculture is given, and calculations of alternative options are also carried out. Today creation of accounting of a production unit is very important so that not only weight units must be considered in it, but also the quali-tative structure of products must be reflected. Definition of qualitative characteristics and technological properties by production of milk which depend on use purposes can be an example. The raw materials consumption on a unit of production and its quality and also firmness of storage depends on technologi-cal properties of milk. At calculation of prime cost taking into account qualitative characteristics for cal-culation milk in terms of basic fat content undertakes. The method of calculation of prime cost consider-ing qualitative characteristics is the most expedient as prime cost of 1 c of milk unlike the operating tech-nique is lower. In the article analytical methods of reserves calculation for decrease in prime cost taking into account various factors are proved. The revealed reserves will allow an enterprise to expand its in-vestment opportunities in the future, they will give an additional incentive of modernization of the worn-out machinery and equipment in branches of agriculture.

Quantum circuits for simple periodic functions

2014 ◽  
Vol 14 (9&10) ◽  
pp. 763-776
Author(s):  
Omar Gamel ◽  
Daniel F.V. James
Keyword(s):  
Quantum Computing ◽  
Periodic Function ◽  
Quantum Circuits ◽  
Special Importance ◽  
Periodic Functions ◽  
Single Period ◽  
Shor's Algorithm ◽  
Toffoli Gates ◽  
One To One

Periodic functions are of special importance in quantum computing, particularly in applications of Shor's algorithm. We explore methods of creating circuits for periodic functions to better understand their properties. We introduce a method for constructing the circuit for a simple monoperiodic function, that is one-to-one within a single period, of a given period $p$. We conjecture that to create a simple periodic function of period $p$, where $p$ is an $n$-bit number, one needs at most $n$ Toffoli gates.

scholarly journals Mean-periodic functions

1980 ◽  
Vol 3 (2) ◽  
pp. 199-235 ◽  
Author(s):  
Carlos A. Berenstein ◽  
B. A. Taylor
Keyword(s):  
Partial Differential Equations ◽  
Periodic Function ◽  
Entire Functions ◽  
Convolution Equation ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Exponential Polynomial ◽  
Periodic Functions ◽  
Open Questions ◽  
Constant Coefficients

We show that any mean-periodic functionfcan be represented in terms of exponential-polynomial solutions of the same convolution equationfsatisfies, i.e.,u∗f=0(μ∈E′(ℝn)). This extends ton-variables the work ofL. Schwartz on mean-periodicity and also extendsL. Ehrenpreis' work on partial differential equations with constant coefficients to arbitrary convolutors. We also answer a number of open questions about mean-periodic functions of one variable. The basic ingredient is our work on interpolation by entire functions in one and several complex variables.

scholarly journals The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time-Periodic Parameters

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Jifeng Chu ◽  
Ting Xia
Keyword(s):  
Periodic Function ◽  
Lyapunov Stability ◽  
Stability Criterion ◽  
Normal Forms ◽  
Sufficient Condition ◽  
Periodic Functions ◽  
Linear And Nonlinear ◽  
The Stability ◽  
Time Periodic ◽  
Damped Oscillator

Leta(t),b(t)be continuousT-periodic functions with∫0Tb(t)dt=0. We establish one stability criterion for the linear damped oscillatorx′′+b(t)x′+a(t)x=0. Moreover, based on the computation of the corresponding Birkhoff normal forms, we present a sufficient condition for the stability of the equilibrium of the nonlinear damped oscillatorx′′+b(t)x′+a(t)x+c(t)x2n-1+e(t,x)=0, wheren≥2,c(t)is a continuousT-periodic function,e(t,x)is continuousT-periodic intand dominated by the powerx2nin a neighborhood ofx=0.

DEFINITION OF HYDRAULIC RESISTANCE OF UNDERGROUND OIL PIPELINE

2020 ◽  
Vol 69 (1) ◽  
pp. 56-61
Author(s):  
L. Yermekkyzy ◽  
Keyword(s):  
Heat Transfer ◽  
Inverse Problem ◽  
Numerical Method ◽  
Hydraulic Resistance ◽  
High Viscosity ◽  
System Of Equations ◽  
Oil Viscosity ◽  
Oil Pipeline ◽  
Conservation Of Momentum ◽  
Definition Of

The results of solving the inverse problem of determining the hydraulic resistance of a main oil pipeline are presented. The formulation of the inverse problem is formulated, a numerical method for solving the system of equations is described. The hydraulic resistance of the pipeline during the "hot" pumping of high-curing and high-viscosity oil changes during operation. Oil temperature decreases along the length of the pipeline due to heat transfer from the soil, leading to an increase in oil viscosity and an increase in hydraulic resistance.The dependence of the hydraulic resistance of the pipeline on the parameters of oil pumping is determined by solving the inverse problem. The inverse problem statement consists of a system of equations of laws of conservation of momentum, mass, energy and hydraulic resistance in the form of Altshul with unknown coefficients. The system of partial differential equations of hyperbolic type for speed and pressure is solved by the numerical method of characteristics, and the heat transfer equations by the iterative method of running counting.

24.—Mean-square Convergence of Non-harmonic Trigonometrical Series

1976 ◽  
Vol 75 (4) ◽  
pp. 297-323
Author(s):  
J. Cossar
Keyword(s):  
Fourier Series ◽  
Periodic Function ◽  
Mean Square ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Real Numbers ◽  
Trigonometrical Series ◽  
Fixed Positive Number ◽  
Mean Square Convergence ◽  
The Difference

SynopsisThe series considered are of the form , where Σ | cn |2 is convergent and the real numbers λn (the exponents) are distinct. It is known that if the exponents are integers, the series is the Fourier series of a periodic function of locally integrable square (the Riesz-Fischer theorem); and more generally that if the exponents are not necessarily integers but are such that the difference between any pair exceeds a fixed positive number, the series is the Fourier series of a function of the Stepanov class, S2, of almost periodic functions.We consider in this paper cases where the exponents are subject to less stringent conditions (depending on the coefficients cn). Some of the theorems included here are known but had been proved by other methods. A fuller account of the contents of the paper is given in Sections 1-5.

scholarly journals REDUCING STRUCTURAL ERROR IN FUNCTION GENERATING MECHANISMS VIA THE ADDITION OF LARGE NUMBERS OF FOUR-BAR MECHANISMS

2017 ◽  
Author(s):  
Hessein
Keyword(s):  
Periodic Function ◽  
Synthesis Process ◽  
Periodic Functions ◽  
Connecting Rod ◽  
Large Numbers ◽  
Structural Error ◽  
Rigid Connection ◽  
Multiple Maxima ◽  
Drag Link ◽  
Crank Mechanism

This paper presents a methodology for synthesizing planarlinkages to approximate any prescribed periodic function. Themechanisms selected for this task are the slider-crank and thegeared five-bar with connecting rod and sliding output (GFBS),where any number of drag-link (or double crank) four-bars areused as drivers. A slider-crank mechanism, when comparing theinput crank rotation to the output slider displacement, producesa sinusoid-like function. Instead of directly driving the inputcrank, a drag-link four-bar may be added that drives the crankfrom its output via a rigid connection between the two. Drivingthe input of the added four-bar results in a function that is lesssinusoid-like. This process can be continued through the additionof more drag-link mechanisms to the device, slowly alteringthe curve toward any periodic function with a single maximum.For periodic functions with multiple maxima, a GFBS is usedas the terminal linkage added to the chain of drag-link mechanisms.The synthesis process starts by analyzing one period ofthe function to design either the terminal slider-crank or terminalGFBS. A randomized local search is then conducted as thefour-bars are added to minimize the structural error between thedesired function and the input-output function of the mechanism.Mechanisms have been “grown” in this fashion to dozens of linksthat are capable of closely producing functions with a variety ofintriguing features.

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