scholarly journals Local structure graph models with higher‐order dependence

Author(s):  
Emily M. Casleton ◽  
Daniel J. Nordman ◽  
Mark S. Kaiser
Sankhya A ◽  
2021 ◽  
Author(s):  
Emily Casleton ◽  
Daniel J. Nordman ◽  
Mark S. Kaiser

1974 ◽  
Vol 52 (9) ◽  
pp. 821-829 ◽  
Author(s):  
I. R. Dagg ◽  
G. E. Reesor ◽  
J. L. Urbaniak

Collision induced microwave absorption is reported in pure N2, N2–Ar, N2–CH4, mixtures, and in pure CH4 in the 35 and 70 GHz regions (1.1 and 2.3 cm−1) at a temperature of 22 °C. The measurements are accomplished using overmoded high Q cavities capable of pressurization of up to 5000 p.s.i.g. The apparatus and method are described. With the high sensitivity attained, the results in pure N2 from 30 → 250 amagat reveal terms in the square and cube of the density from which the relaxation times are calculated. The linear dependence on frequency of the collision induced absorption up to 2.3 cm−1 is established. Higher order dependence on the density is observed in the N2–Ar and N2–CH4 mixtures. Various estimates of the quadrupole moment of N2 are given, making use of earlier results in other frequency regions.


1958 ◽  
Vol 36 (1) ◽  
pp. 167-170 ◽  
Author(s):  
D. R. Wiles

The rates of the exchange reaction between thallous and thallic ions have been measured as a function of sulphate ion concentration, at constant acidity. At high sulphate concentrations, the results agree with those of Brubaker and Mickel, indicating second- and higher-order dependence of the rate on sulphate ion concentration. At low sulphate concentrations, pure first-order dependence on sulphate is found. The inhibitive effect found in some systems is absent. A bridge-transfer mechanism is suggested.


2015 ◽  
Vol 22 (5) ◽  
pp. 1144-1157 ◽  
Author(s):  
Nikhil Walani ◽  
Ashutosh Agrawal

Lipid membranes are versatile biological structures that undergo significant structural remodelling, often triggered by instabilities. Since they invariably possess heterogeneous properties, owing to the presence of multiple lipid species and their interactions with proteins, heterogeneity can have a significant impact on their equilibrium state and stability. In this work, we use curvature elasticity to derive the generalized stability criterion for heterogeneous lipid membranes. Our formulation entertains strain energies that go beyond the Helfrich energy and exhibit higher-order dependence on curvature invariants or spatially varying properties.


2012 ◽  
Vol 490-495 ◽  
pp. 1202-1206
Author(s):  
Bo Wen Fu ◽  
Lian Qiang Niu

For generating anti-aliasing circle with a high speed and a simple manner, an algorithm which uses only integral operation to convert gray levels of pixels based on modified Bresenham Algorithm is presented. According to the decision parameter established in Bresenham algorithm, the algorithm generated the accurate distances between candidate points and true curve, abandoned the higher-order epsilon with litter effect, and used look-up table or range binary search to calculate the gray levels of the nearest pixels. The new algorithm only modified the local structure of the original algorithm and can generate smooth circle rapidly because of simple structure and only integer operation employed in it. Besides, the new algorithm makes the basic generating algorithm and anti-aliased drawing algorithm can be easily generated under the same framework.


2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Gursharn Kaur ◽  
Adrian Röllin

Author(s):  
Nihel Kooli ◽  
Abdel Belaid ◽  
Aurelie Joseph ◽  
Vincent Poulain D'Andecy

Sign in / Sign up

Export Citation Format

Share Document