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2

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3
1.????
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(??????)????????,???,??????????????????.
?? http//www.kyushu-u.ac.jp/magazine/kyudai-koho
/No.46/46_24.html
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4
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(?????????????????????,????????, ?????????(????)??
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????. ?????????????.
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(??)?. ?????????(????????) ???.???????????.
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5
?????URL http//www.phys.kyushu-u.ac.jp/kids-labo
/5einstein/5einstein.html
6
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7
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,???,??? ?????(???)?????.
8
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9
2.????????????
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10
3.??????????
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11
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??? break-through (2????)
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12
??????????? (18????)
??????? verbal ??
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13
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??????(15??)
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Perspective
????
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Underweysung der messung, (Nurnberg 1525, 1534)
??????.????????.2008.?????(????)??.
???
???????????????????????????( ? )??????.
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14
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15
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16
??????????(19????)
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17
??????????????,??????????????
????????????????????????????????? ???,(in
spite of, or because of, his belief in God !)
?????,???????????????????????????
?,???,???????????,???????????????.
????????,??200?,??,????????????????
??????????????????.
?? !
18
4.???????
-????????-
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???,?????????????????????? ?,??, ???????????.
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???????????,???,??, ?????????????????????.
19
???,?????????,????????????????,????????. ??, ?????
????,???,??????????????????????????.
???????????,???????????????????.
???,?????????????? ??????????,?????? ??????,??????
????????????????????.
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,???????????????????????????????.
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???,???????????????????(????)????????????.
20
??,??????????????????????.??????????, ???????(anal
og)???(GPAC)??????????????.
???????????,??????????????????? ???????????.???? ?
?????????,??????????????????????? ????????????????
?????????? ???????????(??1,2,3).
???,?????????????????????????????????????,
????????????,????? ???????.
???,Slepian ???.
????? ?????????????????????? ?,
?????????????????????????
??????????????????????????.
???????????,??????????????? ??,????????????????.
????????????? ? ????.
21
prolate spheroidal wave functions
Slepian ???????????????,??????????????????????????
??????? Acta Mathematica ???????. ?????,??????????
????????????????????.
?? Slepian ?Von Neumann Lecture (??4)????????????
Our models of physical phenomena are merely games
we play with symbols on paper, manipulating them
according to well-defined rules. Certain
quantities in our models will correspond, we
hope, to observable measurable entities in the
real-world situation we are attempting to
describe. I call these principal quantities of
the model. Almost always, however, there will be
other quantities or constructs important to the
model that have no counterpart in the real-world
situation under study. I call these secondary
constructs of the model. It is my contention
that in useful, trustworthy models the principal
quantities must be insensitive to small changes
in the secondary constructs.
22
Slepian ?????????,??????????,???, ???,
Rationality of quantities is a secondary
construct of a model
?????.??????????????,???,????????? ? secondary
construct ???????????.
???,?????????,????????
Continuity is also always a secondary construct
Continuity is not a verifiable notion in the real
world
???????????????????????????????, Slepian ???
secondary constructs ??????????????
??????????????,?????????????????? ????????.
???,??????,??(?????????????)???????? ??
??????????????????.
23
???????????????????,?????????? ??????????????????.
????????????? ?????,??,??????????.
???????????????????,??,???????? ????????????.
????????????,???,??,?? ??,?????????????????,????
?????? ??????????????????????????,????? ???????.
???????????????????????????(????).
??,????????,??????????????????????.
? ??,??????????????(GPAC???)??????,
????????? ? ??????? ? ??? ? ???
?????? ??????????????.???,??????????????????????.

??,??????????????????????????????.
24
??????
1.Bush, V The differential analyzer. A new
machine for solving differential equations,
Journal of the Franklin Institute, 212(1931),
447-488.
2.Pour-El, Marian B. Abstract computability and
its relation to the General Purpose Analog
Computer (Some connections between logic,
differential equations and analog computers),
Trans. Amer. Math. Soc., 199(1974), 1-28
3.Shannon, Claude E. Mathematical theory of
differential analyzer, J. Math. Phys. Mass.
Inst. Tech., 20(1941), 337-354.
4.Slepian, David Some comments on Fourier
analysis, uncertainty and modeling, SIAM
Review, 25(1983), 379-393.
5.???????????????????? ???? ?? ????????(2008)