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Memorial Tributes Volume 14 (2011) / Chapter Skim
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JACOB T. SCHWARTZ
Pages 296-301

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From page 297...
... Jack's research interests were wide ranging: the theory of linear operators, von Neumann algebras, quantum field theory, theory of money, time sharing, parallel computing, programming language design and implementation, motion planning for robots, dexterous manipulation and grasping with robot hands, set-theoretic approaches in computational logic, proof and program verification systems, multimedia authoring 297
From page 298...
... , Martin Davis, John Cocke, Frances Allen, Ralph Grishman, Robert Dewar, Edmond Schoenberg, Alan Gottlieb, W Daniel Hillis, Micha Sharir, Bud Mishra, Domenico Cantone, Alfredo Ferro, Eugenio Omodeo, Kenneth Perlin, and Michael Wigler.
From page 299...
... By connecting the goals of computer science (in being able to perform computations with both efficiency in time and space use as well as in achieving accuracy rigorously) to pure and applied mathematics, Jack began a novel and unique style of problem solving in computer science: He showed how the design of programming language can be connected to set theory, program verification and compiler optimization to theorem proving, design of data motion in a parallel computer to group theory, robot motion planning to algebraic geometry, and dexterous manipulation to convexity theory.
From page 300...
... In particular, the sentence that asks whether there is a semialgebraic connected component containing both the source and destination configurations also answers the piano mover's problem. This elegant solution not only energized the research in robot motion planning but also rekindled an interest in "algorithmic algebra," which has since found many other applications of similar nature: geometric theorem
From page 301...
... "To find the simple in the complex, the finite in the infinite," Jack wrote, "that is not a bad description of the aim and essence of mathematics." To find the simple in the complex is not a bad description of what Jack's work continues to represent to his friends, colleagues, mentees, advisees, and students. Jack's personal interests were wide and varied and included etymology, world music, music composition using software, middle school mathematics curriculum development, 3-D vision, Paleolithic stone implements, visual illusions, knots, extensive reading and cooking.


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