How to use ‘a point of’ in a sentence

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We investigated the photocurrent in poly(3 -hexylthiophene- 2, 5 -diyl) (P 3 HT) :[6, 6]-phenyl-C_ 61 butyric acid methyl ester (PCBM) solar cells by applying a pulsed measurement technique. For annealed samples, a point of optimal…

… analysing the importance of the local Goat and Sheep Society for family-based sheep farming in Lyngen after the Second World War. A point of departure for this investigation was the extraordinary results in national rankings and…

… widths (7, 14, or 21 deg) and side angles (7 or 25 deg), and heights were varied by a staircase procedure to compute a point of subjective equality and 75 % threshold for each condition. Observers were able to reliably judge aspect ratios…

… suitably defined one-dimensional chains within the gapless phase for either geometry; moreover the system generically reaches a point of minimum entanglement within the gapless phase before the entanglement saturates or increases again until…

We investigate the uniqueness of the discontinuous phase transition of the (q-state Potts model and the symmetric q = (sxs) cubic model (generalized Ashkin-Teller model) on the integer square lattice with q> 1. For the ferromagnetic cases, when there is a discontinuous phase transition we show that the discontinuity can only occur at a point of self-duality…

… 4 1 and constant density, it is possible to establish a point of contact…

… with different flavors gives a point of reflection and changes shape near this point. Accordingly, the attractive force between a quark and an antiquark seems to become stronger when the distance between the flavor branes connecting meson strings becomes larger. This indicates that quark system…

… algorithms which allow us to identify any given state in the nullcone or in the third secant variety as a point of one of the 47 varieties described in the paper. These 47 varieties correspond to 47 non-equivalent entanglement patterns, which…

… passing through the vertex which do not intersect each other at a point of Σ fi. Without loss of generality, the planes of a flock may be represented by a t x + b t y + c t z + w = 0; t 2 F : If, in such a representation, each of the functions…

… shrimp-shaped structures. Such windows appear in highly organized distribution with typical self-similar structures for the shrimps, and, surprisingly, codimension- 2 bifurcation as a point of accumulations for the tongues…

… nonrelativistic predictions for the spectra of relativistic light-heavy mesons. However, we note that the agreement between the nonrelativistic and relativistic wave functions is not good, a point of potential concern for the calculation of transition matrix elements. Comment: 17 pages, RevTeX, 9 figures, corrected figure reference…

… identified, and explain the success of Martin’s nonrelativistic predictions for the spectra of relativistic light-heavy mesons. However, we note that the agreement between the nonrelativistic and relativistic wave functions is not good, a point of potential concern for the calculation of transition matrix elements…

… can only be observed from a point of view which is random—in particular, configuration dependent. Two such measures will be called shift equivalent if they differ only by the choice of such a viewpoint. We introduce certain quantities,…

… method for determining when a system has reached a point of maximal understanding of an ongoing user utterance, and a prototype implementation that shows how systems can use this ability to strategically initiate system completions of user…

… unfused structure functions, first introduced by L’vov and Procaccia. As a point of departure we use a revised version of the system of hypotheses that was proposed by Frisch for three-dimensional turbulence. We show that both the enstrophy…

… algorithm for computing a point of maximum depth in two dimensions, which has been improved to an O(n log(2) n) time algorithm by Langerman and Steiger (Discrete Comput. Geom. 30 (2) : 299 – 309, 2003). Furthermore, we describe the structure of depth in the plane and higher dimensions, leading to various other geometric and algorithmic results. status: publishe…

… computing a point of maximum depth in two dimensions. We also give approximation algorithms for hyperplane arrangements and degenerate line arrangements. 1 Introduction Motivated by the study of robust regression in statistics [13, 19, 23, 20,…

… algorithm for computing a point of maximum depth in two dimensions, which has been improved to an O(nlog¿n) time algorithm by Langerman and Steiger (Discrete Comput. Geom. 30 (2) : 299 – 309, [2003]). Furthermore, we describe the structure of depth…

… process is restarted with updated values of its diffusion constants and drift velocity. We then derive the joint probability that, after $M$ encounters, the particle is absorbed at a point of the boundary at a given time and show that, under…

… the effects of spacetime curvature. The initial data set is constructed by matching a Friedmann-Robertson-Walker spacetime to a Tolman-Oppenheimer-Volkoff spacetime in Standard Schwarzschild Coordinates at a point of Lipschitz continuity,…

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