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In the social sciences, triangulation refers to the application and combination of several research methods in the study of the same phenomenon. [1] By combining multiple observers, theories, methods, and empirical materials, researchers hope to overcome the weakness or intrinsic biases and the problems that come from single method, single-observer, and single-theory studies.
The research contributions Guibas is known for include finger trees, red–black trees, fractional cascading, the Guibas–Stolfi algorithm for Delaunay triangulation, an optimal data structure for point location, the quad-edge data structure for representing planar subdivisions, Metropolis light transport, and kinetic data structures for keeping track of objects in motion.
Bernard Chazelle (born November 5, 1955) is a French computer scientist.He is the Eugene Higgins Professor of Computer Science at Princeton University.Much of his work is in computational geometry, where he is known for his study of algorithms, such as linear-time triangulation [2] of a simple polygon, as well as major complexity results, such as lower bound techniques based on discrepancy ...
These data sources include interview transcripts, videos of social interactions, notes, verbal reports [8] and artifacts such as books or works of art. The case study method exemplifies qualitative researchers' preference for depth, detail, and context. [11] [12] Data triangulation is also a strategy used in qualitative research. [13]
Social network analysis (SNA) is the process of investigating social structures through the use of networks and graph theory. [1] It characterizes networked structures in terms of nodes (individual actors, people, or things within the network) and the ties , edges , or links (relationships or interactions) that connect them.
Minimum-weight triangulation — triangulation of minimum total edge length; Kinetic triangulation — a triangulation that moves over time; Triangulated irregular network; Quasi-triangulation — subdivision into simplices, where vertices are not points but arbitrary sloped line segments; Volume mesh — consists of three-dimensional shapes
Triangulation today is used for many purposes, including surveying, navigation, metrology, astrometry, binocular vision, model rocketry and, in the military, the gun direction, the trajectory and distribution of fire power of weapons. The use of triangles to estimate distances dates to antiquity.
This data might be useful to classify topological spaces up to homeomorphism but only given that the characteristics are also topological invariants, meaning, they do not depend on the chosen triangulation. For the data listed here, this is the case. [4] For details and the link to singular homology, see topological invariance.