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James MacCullagh (1809‐47)  Trinity Monday Memorial Discourse 2015 Professor James G Lunney FTCD MRIA
James MacCullagh (1809‐47)  Trinity Monday Memorial Discourse 2015 Professor James G Lunney FTCD MRIA

... Lloyd,  the  Professor  of  Natural  Philosophy  in  Trinity  to  look  for  this  new  phenomenon.   Within  a  few  months  Lloyd  had  procured  a  suitable  crystal  of  aragonite  and  experimentally  verified  Hamilton’s  prediction,  which  of  course  was  based on the wave theory of light.  ...
Spectacle lens design following Hamilton, Maxwell
Spectacle lens design following Hamilton, Maxwell

... The main motivation for this was the need to design multifocal (progressive) lenses for the presbyopic population. The advances in understanding spectacle performance, and the introduction of novel optimization methods enabled also the design of high-quality speciality lenses, such as sport lenses. ...
Maths Answers - Hamilton Trust
Maths Answers - Hamilton Trust

... were his numbers? 6 x 7 ÷ 2 = 21 6 and 7 5. Seth thinks of two even single-digit numbers. He doubles the product. He gets an answer of 48. What numbers did he choose? 4 x 6 x 2 = 48 4 and 6 ...
Introducing The Quaternions - UCR Math Dept.
Introducing The Quaternions - UCR Math Dept.

The ins and outs of conical refraction
The ins and outs of conical refraction

... Stripped to their essentials, two versions of conical refraction are shown in figure 2, adapted from Thomas Preston’s Theory of Light (1890) [1]. In both cases a crystal causes a narrow beam of light to develop into a hollow cone, where a pair of rays might be expected from the theory of double refr ...
Hamilton`s Quaternions
Hamilton`s Quaternions

... is again an element of H. The set H of the not null matrices is then a group with respect to the operation of product rows times columns. Of course H is an abelian group with respect to the sum of matrices. The sum and the product rows times columns of matrices, have the distributive property. So w ...
6.1 Hamilton Circuits and Hamilton Path
6.1 Hamilton Circuits and Hamilton Path

... • Traveling Salesman problem is a real life problem that involves Hamilton circuits in complete graphs • Examples: – Routing school buses – Package deliveries – Scheduling jobs on a machine – Running errands around town – Traveling to many different destinations ...
1

William Rowan Hamilton



Sir William Rowan Hamilton (midnight, 3–4 August 1805 – 2 September 1865) was an Irish physicist, astronomer, and mathematician, who made important contributions to classical mechanics, optics, and algebra. His studies of mechanical and optical systems led him to discover new mathematical concepts and techniques. His best known contribution to mathematical physics is the reformulation of Newtonian mechanics, now called Hamiltonian mechanics. This work has proven central to the modern study of classical field theories such as electromagnetism, and to the development of quantum mechanics. In pure mathematics, he is best known as the inventor of quaternions.Hamilton is said to have shown immense talent at a very early age. Astronomer Bishop Dr. John Brinkley remarked of the 18-year-old Hamilton, 'This young man, I do not say will be, but is, the first mathematician of his age.'
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