An Upper Bound Estimate on the Resonance Cross Section for Water Vapor at 694.38 nm

1975 ◽  
Vol 14 (8) ◽  
pp. 1615-1617 ◽  
Author(s):  
Richard M. Schotland
Keyword(s):  
Water Vapor ◽  
Cross Section ◽  
Upper Bound ◽  
Resonance Cross Section ◽  
Upper Bound Estimate

On the Ideally Plastic Indentation of Inset Rectangular Bands

1956 ◽  
Vol 23 (2) ◽  
pp. 244-246
Author(s):  
E. W. Ross
Keyword(s):  
Cross Section ◽  
Upper Bound ◽  
Rectangular Cross Section ◽  
Ideal Plasticity ◽  
Plastic Indentation

Abstract One of the limit design theorems of ideal plasticity is applied to find an upper bound on the initial indentation pressure for the case where a flat, smooth die is pushed into an inset band of rectangular cross section. The dependence of the upper bound on the clearance and width of the band is given, and a possible extension to asymmetrically inset bands is suggested.

scholarly journals Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

2019 ◽  
Vol 12 (02) ◽  
pp. 1950017
Author(s):  
H. Orhan ◽  
N. Magesh ◽  
V. K. Balaji
Keyword(s):  
Unit Disk ◽  
Upper Bound ◽  
Chebyshev Polynomials ◽  
Univalent Functions ◽  
Function Class ◽  
Open Unit ◽  
Open Unit Disk ◽  
Hankel Determinant ◽  
Second Hankel Determinant ◽  
Upper Bound Estimate

In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass [Formula: see text] of analytic bi-univalent function class [Formula: see text] which is associated with Chebyshev polynomials in the open unit disk.

On the speed of convergence to limit distributions for Hecke L-functions associated with ideal class characters

Analysis ◽  
2006 ◽  
Vol 26 (3) ◽  
Author(s):  
Kohji Matsumoto
Keyword(s):  
Upper Bound ◽  
Ideal Class ◽  
Speed Of Convergence ◽  
Limit Distributions ◽  
Upper Bound Estimate

We prove an upper bound estimate of the speed of convergence to limit distributions

Fixed time synchronization of a class of chaotic systems based via the saturation control

2021 ◽  
Vol 67 (4 Jul-Aug) ◽  
pp. 041401
Author(s):  
Jiaojiao Fu ◽  
Runzi Luo ◽  
Meichun Huang ◽  
Haipeng Su
Keyword(s):  
Upper Bound ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Fixed Time ◽  
Stability Theorem ◽  
Backstepping Method ◽  
Time Stability ◽  
Saturation Control ◽  
New Chaotic System ◽  
Upper Bound Estimate

In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.

Hardy–Orlicz Spaces of Dirichlet Series: An Interpolation Problem on Abscissae of Convergence

2019 ◽  
Author(s):  
Maxime Bailleul ◽  
Pascal Lefèvre ◽  
Luis Rodríguez-Piazza
Keyword(s):  
Dirichlet Series ◽  
Hardy Spaces ◽  
Upper Bound ◽  
Interpolation Problem ◽  
Orlicz Spaces ◽  
Elementary Method ◽  
Abscissa Of Convergence ◽  
Upper Bound Estimate

Abstract The study of Hardy spaces of Dirichlet series denoted by $\mathscr{H}^p$ ($p\geq 1$) was initiated in [7] when $p=2$ and $p=\infty $, and in [2] for the general case. In this paper we introduce the Orlicz version of spaces of Dirichlet series $\mathscr{H}^\psi $. We focus on the case $\psi =\psi _q(t)=\exp (t^q)-1,$ and we compute the abscissa of convergence for these spaces. It turns out that its value is $\min \{1/q\,,1/2\}$ filling the gap between the case $\mathscr{H}^\infty $, where the abscissa is equal to $0$, and the case $\mathscr{H}^p$ for $p$ finite, where the abscissa is equal to $1/2$. The upper-bound estimate relies on an elementary method that applies to many spaces of Dirichlet series. This answers a question raised by Hedenmalm in [6].

PHOTONEUTRON THRESHOLD AND CROSS SECTION FOR 71Lu175

1958 ◽  
Vol 36 (4) ◽  
pp. 415-418 ◽  
Author(s):  
H. J. King ◽  
L. Katz
Keyword(s):  
Cross Section ◽  
Neutron Yield ◽  
Giant Resonance ◽  
Threshold Energy ◽  
Half Width ◽  
Bremsstrahlung Energy ◽  
Resonance Cross Section ◽  
Integrated Cross Section ◽  
Peak Value

The neutron yield resulting from photoneutron reactions in Lu175 has been measured as a function of peak bremsstrahlung energy up to 23 Mev. The threshold energy for this reaction was found to be 7.77 ± 0.05 Mev. The giant resonance cross section has a peak value of 225 millibarns at 16 Mev., a half-width of 8.4 Mev., and an integrated cross section to 23 Mev. of 1.9 Mev-barns.

BOUND ON RELIABLE ONE-INSTANTON CROSS-SECTIONS

1992 ◽  
Vol 07 (18) ◽  
pp. 1661-1666 ◽  
Author(s):  
G. VENEZIANO
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Upper Bound ◽  
Positive Definite ◽  
The One

Unitarity considerations imply an upper bound on the value of the one-instanton-induced B and L violating cross-section at which multi-instanton contributions become of comparable order. The bound is inversely proportional to a sum of positive-definite terms and, most likely, keeps any reliable one-instanton cross-section exponentially suppressed.

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