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Książki na temat „Variation graph”

Autor: Grafiati

Data publikacji: 21 grudnia 2024

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1

Science, Lawrence Hall of, red. Equals investigations, remote rulers: A middle-school mathematics unit focusing on the relationship between algebraic graphs and graphs from real data involving direct and inverse variation. Berkeley, CA: University of California at Berkeley, 1994.

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2

de, Werra D., i Hertz A, red. Graph colouring and variations. Amsterdam: North-Holland, 1989.

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3

Krishnamoorthy, Raju. Dynamics, Graph Theory, and Barsotti-Tate Groups: Variations on a Theme of Mochizuki. [New York, N.Y.?]: [publisher not identified], 2016.

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4

Salavessa, Isabel Maria da Costa. Graphs with parallel mean curvature and a variational problem in conformal geometry. [s.l.]: typescript, 1987.

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5

E, Gaines Steven, Hipskind R. Stephen, United States. National Aeronautics and Space Administration. i San Jose State University. Meteorology Dept., red. An atlas of objectively analyzed atmospheric cross sections 1973-1980. [Washington, D.C: National Aeronautics and Space Administration, 1985.

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6

Barg, Alexander, i O. R. Musin. Discrete geometry and algebraic combinatorics. Providence, Rhode Island: American Mathematical Society, 2014.

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7

Schurz, Henri, Philip J. Feinsilver, Gregory Budzban i Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Redaktorzy Mohammed Salah-Eldin 1946- i Mukherjea Arunava 1941-. Providence, Rhode Island: American Mathematical Society, 2016.

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8

Lyman, R. Lee. Graphing Culture Change in North American Archaeology. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198871156.001.0001.

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Documentation, analysis, and explanation of culture change have long been goals of archaeology. The earliest archaeological spindle graphs appeared in the 1880s and 1890s, but had no influence on subsequent archaeologists. Line graphs showing change in frequencies of specimens in each of several artifact types were used in the 1910s and 1920s. Seriograms or straight-sided spindles diagraming interpretations of culture change were published in the 1930s, but were seldom subsequently mimicked. Spindle graphs of centered and stacked columns of bars, each column representing a distinct artifact type, each bar the empirically documented relative frequency of specimens in an assemblage, were developed in the 1940s, became popular in the 1950s and 1960s, and are often used to illustrate culture change in textbooks published during the twentieth century. Graphs facilitate visual thinking, different graph types suggest different ontologies and theories of change, and particular techniques of parsing temporally continuous morphological variation of artifacts into types influence graph form. Line graphs, bar graphs, spindle diagrams, and phylogenetic trees of artifacts and cultures indicate archaeologists often mixed elements of Darwinian variational evolutionary change with elements of Midas-touch-like transformational change. Today there is minimal discussion of graph theory or graph grammar in both introductory archaeology textbooks and advanced texts, and elements of the two theories of evolution are often mixed. Culture has changed, and despite archaeology’s unique access to the totality of humankind’s cultural past, there is minimal discussion on graph theory, construction, and decipherment in the archaeological literature.

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9

Werra, D. de, i A. Hertz. Graph Colouring and Variations. Elsevier Science & Technology Books, 1989.

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10

Graph Colouring and Variations. Elsevier, 1989. http://dx.doi.org/10.1016/s0167-5060(08)x7011-6.

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11

K, Ananthi. Zero Divisor Graph Domination Variations. Independent Publisher, 2023.

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12

Sorrentino, Alfonso. The Hamilton-Jacobi Equation and Weak KAM Theory. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0005.

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This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be considered as the functional analytic counterpart of the variational methods discussed in the previous chapters. The starting point is the relation between KAM tori (or more generally, invariant Lagrangian graphs) and classical solutions and subsolutions of the Hamilton–Jacobi equation. It introduces the notion of weak (non-classical) solutions of the Hamilton–Jacobi equation and a special class of subsolutions (critical subsolutions). In particular, it highlights their relation to Aubry–Mather theory.

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13

Digraphs: Theory, Algorithms and Applications. Springer, 2009.

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14

Organized Collapse: An Introduction to Discrete Morse Theory. American Mathematical Society, 2020.

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15

Organized Collapse: An Introduction to Discrete Morse Theory. American Mathematical Society, 2021.

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