Download e-book for iPad: Science from Fisher Information: A Unification by B. Roy Frieden

By B. Roy Frieden

ISBN-10: 0521009111

ISBN-13: 9780521009119

This overview refers back to the 1998 variation of the e-book, ISBN zero 521 63167 X hardback.

I had initially gotten excited whilst i discovered this booklet. However:

I imagine the writer summed it up top with the ultimate sentence of his e-book (P282). I quote him thanking "E.M.Wright, for bringing to my recognition many elements of contemporary quantum thought, in particular its awesome mysteries and paradoxes, bringing me modern near to size conception, and (hopefully) constraining my enthusiastic forays of thought to stick inside of actual bounds".

In this booklet - I cant support ask yourself on the relevance of together with sketches of images of well-known humans resembling: J.A. Wheeler (P2), R.A. Fisher (P23), L. Brillouin (P66) and at last the writer himself (P73). Are the pictures a lead as much as justify the inclusion of his personal portrait ?

I began getting a piece involved for the veracity of the author's "science" while he started to use an anthropic form of argument, (P218). for instance, he states "Thus, the values of (universal) constants are one way or the other scaled to house the presence of humans. this can be flattering if precise: it signifies that our presence has a profound - if oblique - impact upon actual legislation and, accordingly, the Universe!", (his exclamation mark, no longer mine).

On a extra uncomplicated point, there has been no nomenclature record for the variables utilized in the equations during the textual content. This made it a bit tricky to keep on with the that means of a few equations. even if, the math used to be offered at a superb level.

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Additional info for Science from Fisher Information: A Unification

Sample text

See Sec. 1. In fact, EPI solutions and H ¼ max. solutions agree only in statistical mechanics; this is shown in Appendix A. It is interesting that correct solutions via EPI occur even for PDFs that do not obey the Fokker–Planck equation. 32), the time rate of change of p depends only upon the present value of p. Hence, the process has short-term memory (see also Gardiner, 1991, p. 144). However, EPI may be used to derive the 1= f power spectral noise effect (Chapter 8), a law famous for exhibiting long-term memory.

The prevailing view was 26 What is Fisher information? 1. Lagrangians for various physical phenomena. Where do these come from and, in particular, why do they all contain a squared gradient term? ) Phenomenon Classical mechanics Flexible string or compressible fluid Diffusion equation Lagrangian  2 1 @q ÀV m 2 @t "  # 2 1 @q Àc2 =q . =q r 2 @t À=ł . =łÃ À Á Á Á Schro¨dinger wave equation À "2 =ł . =łÃ À Á Á Á 2m Klein–Gordon equation À "2 =ł . =łÃ À Á Á Á 2m 1 _2 2r q Elastic wave equation Electromagnetic equations 4 4 X À ÁÁÁ uqn .

Using the chain rule, Eq. 39) with Ł ¼ E. Here dI is the information in a data reading dy E of the ideal energy value dE. In general, quantities p, dI, and TE can be functions of the position r of volume dV within a gas. 42) by dV gives p¼À p(r) dV ¼ k E T E (r) dI(r) (1:43) with the r-dependence now noted. Near equilibrium the gas should be well mixed and homogeneous, such that p and T are independent of position r. Then Eq. 43) may be directly integrated to give Ð pV ¼ k E T E I: (1:44) Note that I ¼ dI(r) is simply the total information due to many independent data readings dy E.

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Science from Fisher Information: A Unification by B. Roy Frieden

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