- 非齊次線性方程組解的結構, 即: 若非齊次線性方程組為AX = b, 其中b 6= 0, 則方程組的全部解為X +X,這裏X 為非齊次方程組的一個特解, X 為對應的導出組的全部解。
It does not trouble the mathematician that he has to deal with unknown things. At the outset in algebra he handles unknown quantities x and y. His quantities are unknown, but he subjects them to known operations - addition, multi-plication, etc. Recalling Bertrand Russell’s famous definition, the mathematician never knows what he is talking about, nor whether what he is saying is true; but, we are tempted to add, at least he does know what he is doing. The last limitation would almost seem to disqualify him for treating a universe which is the theatre of unknowable actions and operations. We need a super-mathematics in which the operations are as unknown as the quantities they operate on, and a super-mathematician who does not know what he is doing when he performs these operations. Such a super-mathematics is the Theory of Groups.
Arthur Stanley Eddington, “New Pathways in Science”, 1934Great Ideas of Modern Mathematics: Their Nature and Use - Page 143 - Google Books Result
books.google.com/books?isbn=0486205878Jagjit Singh - 1959 - MathematicsSo Eddington argues that 'we need a super-mathematics in which the operations are as unknown as the quantities they operate on, and a super-mathematician, ...The World of Mathematics - Volume 3 - Page 1559 - Google Books Result
books.google.com/books?isbn=0486411516James Roy Newman - 2000 - Juvenile NonfictionWe need a super-mathematics in which the operations are as unknown as the quantities they operate on, and a supermathematician who does not know what ...Frontiers: Twentieth Century Physics - Page 232 - Google Books Result
books.google.com/books?isbn=0748408401Steve Adams - 2000 - ScienceIn 1956 Sir Arthur Eddington said: ''We need a super-mathematics in which the operations are as unknown as the quantities they operate on, and a ...The New Physics - Page 430 - Google Books Result
books.google.com/books?isbn=0521438314Paul Davies - 1992 - ScienceIn the words of Sir Arthur Stanley Eddington*: We need a super-mathematics in which the operations are as unknown as the quantities they operate on, and a ...- [PPT]
symmetry - Physics
www.physics.berkeley.edu/research/packard/staff/.../symmetry.pptFile Format: Microsoft Powerpoint - Quick View
We need a super mathematics in which the operations are as unknown as the quantities they operate on, and a super-mathematician who does not know what ...You visited this page on 2/2/13. - [PDF]
Introducting Groups
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“We need a super-mathematics in which the operations are as un- known as the quantities they operate on, and a super-mathematician who does not know what ...
symmetry - Physics
www.physics.berkeley.edu/research/packard/staff/.../symmetry.ppt
File Format: Microsoft Powerpoint - Quick ViewWe need a super mathematics in which the operations are as unknown as the ... Group of all Rotations in 2D space - SO(2) group ... U = eiA ------ if U is unitary , A must be hermitian ... 16 operators ~ U(4) group [# generators of SU(N) = N2 ] ...
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