scholarly journals Generalized isotopic shift construction for APN functions

2020 ◽  
Author(s):  
Lilya Budaghyan ◽  
Marco Calderini ◽  
Claude Carlet ◽  
Robert Coulter ◽  
Irene Villa
Keyword(s):  
Initial Function ◽  
Isotopic Shift ◽  
General Construction ◽  
Apn Functions ◽  
Gold Function

Abstract In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory 66:5299–5309, 2020), when the initial function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for $$n=8$$ n = 8 and produces fifteen new APN functions for $$n=9$$ n = 9 .

Doppler-free two-photon spectroscopy of neon. III. Isotopic shift and fine structure for the 2p5 4d and 2p5 5s configurations

1979 ◽  
Vol 40 (12) ◽  
pp. 1139-1144 ◽  
Author(s):  
E. Giacobino ◽  
F. Biraben ◽  
E. de Clercq ◽  
K. Wohrer-Beroff ◽  
G. Grynberg
Keyword(s):  
Fine Structure ◽  
Isotopic Shift ◽  
Two Photon

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

ФІГУРА УСЛАВЛЕННЯ ЯК ТЕМБРАЛЬНЕ НАПОВНЕННЯ ПАРТІЇ КНЯЗЯ ІГОРЯ В ОДНОЙМЕННІЙ ОПЕРІ О. БОРОДІНА

2020 ◽  
Author(s):  
Admink Admink
Keyword(s):  
Cultural Studies ◽  
General Construction ◽  
Modern Sense

Продемонстровано уявлення в сучасному українському мистецтвознавстві та культурології відомостей про тембральну стратегію й загальну конструкцію опери «Князь Ігор» за авторськими установками у науковому передбаченні сучасного смислу розуміння подій «Слова о полку Ігоревім» в композиції твору О. Бородіна.Ключові слова: славлення, тембр співу, опера, семантика баса, «Князь Ігор» О. Бородіна. The article demonstrates the presentation in Ukrainian art and cultural studies of information about the timbre strategy and the general construction of the opera Prince Igor in accordance with the author's attitudes and scientific foresight of the modern sense of understanding the events of the Word of Igor's Campaign in the composition of A. Borodin.Key words: glorification, timbre of singing, opera, bass semantics, «Prince Igor» by A. Borodin

On equivalence between known polynomial APN functions and power APN functions

2021 ◽  
Vol 71 ◽  
pp. 101762
Author(s):  
Qianhong Wan ◽  
Longjiang Qu ◽  
Chao Li
Keyword(s):  
Apn Functions

scholarly journals GENERALIZED W3-STRINGS FROM FREE FIELDS

1995 ◽  
Vol 10 (06) ◽  
pp. 515-524 ◽  
Author(s):  
J. M. FIGUEROA-O'FARRILL ◽  
C. M. HULL ◽  
L. PALACIOS ◽  
E. RAMOS
Keyword(s):  
Bosonic Strings ◽  
Free Field ◽  
Space Time ◽  
General Construction ◽  
Special Cases ◽  
Free Fields ◽  
Rule Out ◽  
General Conditions ◽  
String Theories

The conventional quantization of w3-strings gives theories which are equivalent to special cases of bosonic strings. We explore whether a more general quantization can lead to new generalized W3-string theories by seeking to construct quantum BRST charges directly without requiring the existence of a quantum W3-algebra. We study W3-like strings with a direct space-time interpretation — that is, with matter given by explicit free field realizations. Special emphasis is placed on the attempt to construct a quantum W-string associated with the magic realizations of the classical w3-algebra. We give the general conditions for the existence of W3-like strings, and comment on how the known results fit into our general construction. Our results are negative: we find no new consistent string theories, and in particular rule out the possibility of critical strings based on the magic realizations.

Any large solution of a non-linear heat conduction equation becomes monotonic in time

1991 ◽  
Vol 118 (1-2) ◽  
pp. 13-20 ◽  
Author(s):  
Victor A. Galaktionov ◽  
Sergey A. Posashkov
Keyword(s):  
Parabolic Equation ◽  
Initial Function ◽  
Heat Conduction Equation ◽  
Stationary Solutions ◽  
Classical Solutions ◽  
Smooth Functions ◽  
Large Solution ◽  
Additional Hypothesis ◽  
The Cauchy Problem ◽  
Degenerate Parabolic

SynopsisIn this paper we prove a certain monotonicity in time of non-negative classical solutions of the Cauchy problem for the quasilinear uniformly parabolic equation u1 = (ϕ(u))xx + Q(u) in wT = (0, T] × R1 with bounded sufficiently smooth initial function u(0, x) = uo(x)≧0 in Rl. We assume that ϕ(u) and Q(u) are smooth functions in [0, +∞) and ϕ′(u) >0, Q(u) > 0 for u > 0. Under some additional hypothesis on the growth of Q(u)ϕ′(u) at infinity, it is proved that if u(to, xo) becomes sufficiently large at some point (to, xo) ∈ wT, then ut(t, x0) ≧0 for all t ∈ [t0, T]. The proof is based on the method of intersection comparison of the solution with the set of the stationary solutions of the same equation. Some generalisations of this property for a quasilinear degenerate parabolic equation are discussed.

A general construction of E(fNOD)-optimal multi-level supersaturated designs

2012 ◽  
Vol 142 (5) ◽  
pp. 1092-1107
Author(s):  
K. Chatterjee ◽  
C. Koukouvinos ◽  
P. Mantas ◽  
A. Skountzou
Keyword(s):  
General Construction ◽  
Supersaturated Designs ◽  
Multi Level
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