Problem of behavior of an integral of a conditionally periodic function

1991 ◽  
Vol 50 (3) ◽  
pp. 945-952
Author(s):  
N. G. Moshchevitin
Keyword(s):  
Periodic Function ◽  
Conditionally Periodic Function

Recurrence of the integral of a smooth conditionally periodic function

1998 ◽  
Vol 63 (5) ◽  
pp. 648-657 ◽  
Author(s):  
N. G. Moshchevitin
Keyword(s):  
Periodic Function ◽  
Conditionally Periodic Function

Recurrence of the integral of an odd conditionally periodic function

1997 ◽  
Vol 61 (4) ◽  
pp. 473-479 ◽  
Author(s):  
S. V. Konyagin
Keyword(s):  
Periodic Function ◽  
Conditionally Periodic Function

Nonrecursiveness of the integral of a conditionally periodic function

1991 ◽  
Vol 49 (6) ◽  
pp. 650-652 ◽  
Author(s):  
N. G. Moshchevitin
Keyword(s):  
Periodic Function ◽  
Conditionally Periodic Function

Recurrence of the integral of a smooth three-frequency conditionally periodic function

1995 ◽  
Vol 58 (5) ◽  
pp. 1187-1196 ◽  
Author(s):  
N. G. Moshchevitin
Keyword(s):  
Periodic Function ◽  
Conditionally Periodic Function

scholarly journals Primeable entire functions

1973 ◽  
Vol 51 ◽  
pp. 123-130 ◽  
Author(s):  
Fred Gross ◽  
Chung-Chun Yang ◽  
Charles Osgood
Keyword(s):  
Entire Function ◽  
Periodic Function ◽  
Rational Function ◽  
Entire Functions ◽  
Left And Right

An entire function F(z) = f(g(z)) is said to have f(z) and g(z) as left and right factors respe2tively, provided that f(z) is meromorphic and g(z) is entire (g may be meromorphic when f is rational). F(z) is said to be prime (pseudo-prime) if every factorization of the above form implies that one of the functions f and g is bilinear (a rational function). F is said to be E-prime (E-pseudo prime) if every factorization of the above form into entire factors implies that one of the functions f and g is linear (a polynomial). We recall here that an entire non-periodic function f is prime if and only if it is E-prime [5]. This fact will be useful in the sequel.

scholarly journals On appell’s decomposition of a doubly periodic function of the third kind

1931 ◽  
Vol 57 (0) ◽  
pp. 95-100
Author(s):  
Miguel A. Basoco
Keyword(s):  
Periodic Function ◽  
The Third

Projective actions, invariant sigma-curves and quadratic functional equations

1985 ◽  
Vol 98 (2) ◽  
pp. 195-212 ◽  
Author(s):  
Patrick J. McCarthy
Keyword(s):  
Functional Equation ◽  
Periodic Function ◽  
Functional Equations ◽  
Continuous Solution ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Continuous Solutions ◽  
Linear Map

AbstractThe quadratic functional equation f(f(x)) *–Tf(x) + Dx = 0 is equivalent to the requirement that the graph be invariant under a certain linear map The induced projective map is used to show that the equation admits a rich supply of continuous solutions only when L is hyperbolic (T2 > 4D), and then only when T and D satisfy certain further conditions. The general continuous solution of the equation is given explicitly in terms of either (a) an expression involving an arbitrary periodic function, function additions, inverses and composites, or(b) suitable limits of such solutions.

Numerical Inversion of Laplace Transform for Time Resolved Thermal Characterization Experiment

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
J. Toutain ◽  
J.-L. Battaglia ◽  
C. Pradere ◽  
J. Pailhes ◽  
A. Kusiak ◽  
...  
Keyword(s):  
Fourier Series ◽  
Laplace Transform ◽  
Periodic Function ◽  
Thermal Characterization ◽  
Inverse Laplace Transform ◽  
Numerical Inversion ◽  
Time Resolved ◽  
Reliable Technique ◽  
Numerical Inverse Laplace Transform ◽  
Thermal Disturbance

The aim of this technical brief is to test numerical inverse Laplace transform methods with application in the framework of the thermal characterization experiment. The objective is to find the most reliable technique in the case of a time resolved experiment based on a thermal disturbance in the form of a periodic function or a distribution. The reliability of methods based on the Fourier series methods is demonstrated.

scholarly journals Note on the Number of Components of a Compound Periodic Function

1914 ◽  
Vol 74 (8) ◽  
pp. 664-670 ◽  
Author(s):  
J. B. Dale
Keyword(s):  
Periodic Function ◽  
Number Of Components

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.

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