scholarly journals On the Exact Constant in the Jackson–Stechkin Inequality for the Uniform Metric

2009 ◽  
Vol 29 (2) ◽  
pp. 157-179 ◽  
Author(s):  
S. Foucart ◽  
Y. Kryakin ◽  
A. Shadrin
Keyword(s):  
Exact Constant

scholarly journals On the exact constant in the quantitative Steinitz theorem in the plane

1994 ◽  
Vol 12 (4) ◽  
pp. 387-398 ◽  
Author(s):  
I. Bárány ◽  
A. Heppes
Keyword(s):  
Exact Constant

scholarly journals PERFECT FLUID COSMOLOGIES WITH VARYING LIGHT SPEED

2001 ◽  
Vol 10 (01) ◽  
pp. 107-113 ◽  
Author(s):  
LUIS P. CHIMENTO ◽  
ALEJANDRO S. JAKUBI
Keyword(s):  
General Relativity ◽  
Perfect Fluid ◽  
Time Variation ◽  
Cosmic Time ◽  
Big Bang ◽  
Exact Constant ◽  
Density Parameter ◽  
Newtonian Gravitation ◽  
Perfect Fluids ◽  
Big Bang Model

We have found exact constant solutions for the cosmological density parameter using a generalization of general relativity that incorporates a cosmic time-variation of the velocity of light in vacuum and the Newtonian gravitation constant. We have determined the conditions when these solutions are attractors for an expanding universe and solved the problems of the Standard Big Bang model for perfect fluids.

Residue Free Differentials and the Cartier Operator for Algebraic Function Fields of one Variable

1972 ◽  
Vol 24 (5) ◽  
pp. 905-914
Author(s):  
Tetsuo Kodama
Keyword(s):  
Function Field ◽  
Function Fields ◽  
Algebraic Function ◽  
Exact Constant ◽  
Constant Field ◽  
Algebraic Function Field ◽  
Algebraic Function Fields ◽  
Cartier Operator

Let K be a field of characteristic p > 0 and let A be a separably generated algebraic function field of one variable with K as its exact constant field. Throughout this paper we shall use the following notations to classify differentials of A/K:D(A) : the K-module of all differentials,G(A) : the K-module of all differentials of the first kind,R(A) : the K-module of all residue free differentials in the sense of Chevalley [2, p. 48],E*(A) : the K-module of all pseudo-exact differentials in the sense of Lamprecht [7, p. 363], (compare the definition with our Lemma 8).

scholarly journals An Improved Upper Bound for Bootstrap Percolation in All Dimensions

2019 ◽  
Vol 28 (06) ◽  
pp. 936-960
Author(s):  
Andrew J. Uzzell
Keyword(s):  
Upper Bound ◽  
Bootstrap Percolation ◽  
Exact Constant ◽  
Critical Probability ◽  
Time Step ◽  
Natural Logarithm ◽  
Vertex Set ◽  
Image Position

AbstractIn r-neighbour bootstrap percolation on the vertex set of a graph G, a set A of initially infected vertices spreads by infecting, at each time step, all uninfected vertices with at least r previously infected neighbours. When the elements of A are chosen independently with some probability p, it is natural to study the critical probability pc(G, r) at which it becomes likely that all of V(G) will eventually become infected. Improving a result of Balogh, Bollobás and Morris, we give a bound on the second term in the expansion of the critical probability when G = [n]d and d ⩾ r ⩾ 2. We show that for all d ⩾ r ⩾ 2 there exists a constant cd,r > 0 such that if n is sufficiently large, then $$p_c (\left[ n \right]^d ,{\rm{ }}r){\rm{\le }}\left( {\frac{{\lambda (d,r)}}{{\log _{(r - 1)} (n)}} - \frac{{c_{d,r} }}{{(\log _{(r - 1)} (n))^{3/2} }}} \right)^{d - r + 1} ,$$where λ(d, r) is an exact constant and log(k) (n) denotes the k-times iterated natural logarithm of n.

Control Design for Multiphase Synchronous Buck Converters Based on Exact Constant Resistive Output Impedance

2013 ◽  
Vol 60 (11) ◽  
pp. 4920-4929 ◽  
Author(s):  
Angel Borrell ◽  
Miguel Castilla ◽  
Jaume Miret ◽  
Jose Matas ◽  
Luis Garcia de Vicuna
Keyword(s):  
Control Design ◽  
Exact Constant ◽  
Buck Converters ◽  
Output Impedance
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