These contexts are: (1) reconciling three definitions of congruence, (2) using transformations to understand conventions for defining families of functions and shapes, and (3) analyzing plane transformations of the plane in terms of linear algebra. We conclude with some implications of our work ...
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In this paper we investigate the functions m(G, H) and l(m, H). We determine m(G, H) precisely for some families of graphs and estimate the asymptotic behaviour of l(m, H) for fixed H as m tends to infinity. Some of the results are generalised...
The well-known two-dimensional Klee's measure problem (KMP) [2] is to compute the area of the union of a given set of axis-aligned rectangles. Over the years, this problem has received extensive study [3], [4], [5], [6], [7], [8], [9], [10]. The problem we consider in...
Representative graphs of mitochondrial ROS are shown in c and d. HCT, HCT116; Etop, etoposide; Dox, doxorubicin; number, number of cells or number of events Full size image Dox treatment induces genes responsible for mtDNA replication and transcription Increased mtDNA levels and ROS production ...
these experiments show that the transformed to a new graph G′=Interestingly, the alternate graphs are signi,cantly more capable of accurately predicting pro-representation of the G as an adjacency matrix A|V|×|V| ,where(p1,p2)=1 if p1 and p2 interact,allows the application of asso- ...
are internally represented as oriented graphs with differentiated types of nodes and edges. This representation is utilized in evaluating data expressions containing op- erators '+>' and '–>', and, mainly, opens possibilities for the analyzer to perform graph ...
which span many regulatory issues and corporate functions, at international, regional and national levels; the size of the circles represents the number of organizations each corporation associates with. The respective corporations are typically members of organizations in countries where they have a major...
The results are organised according to our three research questions: (Q1) REPRESENTATIONS: we describe the functions played by map representations, and the kinds of text representations we observed; (Q2) PROCESS: we identified two translation processes that participants used to move between these ...
2.The method of claim 1, wherein a set of functions of the second program is different than a set of functions of the first program. 3.The method of claim 2, wherein a distribution of function parameters, stack variables, and heap variables across the set of functions of the second pro...