作者: majestic 時(shí)間: 2025-3-21 23:45
https://doi.org/10.1007/978-1-4684-1887-3s in these proofs running on the computer. And in order to write these programs, we need to use a programming language. Unfortunately, no existing programming language is exactly what is needed. So I invented a dialect of LISP that will do the job. In this chapter I’ll explain the version of LISP th作者: intrigue 時(shí)間: 2025-3-22 02:52
Bond Properties of Self-Compacting Concrete,put graphs. This is our most basic tool. We’ll use it many times: over and over again in what’s left of Part II and in Part III. In fact, using this technique is at the heart of the next two chapters, it’s really what these two chapters are about.作者: 親愛(ài) 時(shí)間: 2025-3-22 05:03 作者: collagenase 時(shí)間: 2025-3-22 12:09 作者: 苦惱 時(shí)間: 2025-3-22 14:56
Myoung-Woon Moon,Chansoo Kim,Ashkan Vaziridefinition of a random real. The resulting definition is, in my opinion, a substantial improvement: it’s much easier to apply. And in the next chapter we’ll be able to use it to show that Ω is strong Chaitin random.作者: 苦惱 時(shí)間: 2025-3-22 17:17 作者: 學(xué)術(shù)討論會(huì) 時(shí)間: 2025-3-23 00:08
Bond Properties of Self-Compacting Concrete,put graphs. This is our most basic tool. We’ll use it many times: over and over again in what’s left of Part II and in Part III. In fact, using this technique is at the heart of the next two chapters, it’s really what these two chapters are about.作者: NAV 時(shí)間: 2025-3-23 04:41
Chigbogu Ozoegwu,Peter Eberhardchapter I’ll show you two . definitions of a random real that look very different from my program-size irreducibility definition, but which actually turn out to be equivalent. These are P. Martin-L?f’s and R.M. Solovay’s definitions of a random real, and I’ll start with Martin-L?fs definition, which was proposed before Solovay’s.作者: 帶來(lái)墨水 時(shí)間: 2025-3-23 06:01 作者: Comedienne 時(shí)間: 2025-3-23 13:13 作者: cochlea 時(shí)間: 2025-3-23 16:43 作者: 浪費(fèi)時(shí)間 時(shí)間: 2025-3-23 21:22 作者: 許可 時(shí)間: 2025-3-23 23:18 作者: LEERY 時(shí)間: 2025-3-24 06:07 作者: thrombosis 時(shí)間: 2025-3-24 07:33 作者: Triglyceride 時(shí)間: 2025-3-24 12:01 作者: tooth-decay 時(shí)間: 2025-3-24 17:00
Mechanical Properties of Human TissuesThanks very much Manuel! It‘s a great pleasure to be here!作者: 可用 時(shí)間: 2025-3-24 20:00 作者: Buttress 時(shí)間: 2025-3-25 00:21 作者: magenta 時(shí)間: 2025-3-25 06:00 作者: 同音 時(shí)間: 2025-3-25 10:37
https://doi.org/10.1007/978-3-030-22598-8This entire chapter will be devoted to the proof of one major theorem:作者: follicle 時(shí)間: 2025-3-25 11:45
https://doi.org/10.1007/978-94-007-2004-6In this chapter I’ll show you that Solovay randomness is equivalent to strong Chaitin randomness. Recall that an infinite binary sequence . is strong Chaitin random iff (.(.), the complexity of its .-bit prefix .) ? . goes to infinity as . increases. I’ll break the proof into two parts.作者: 柏樹(shù) 時(shí)間: 2025-3-25 19:02
https://doi.org/10.1007/978-3-540-79436-3A lot remains to be done! Hopefully this is just the beginning of AIT! The higher you go, the more mountains you can see to climb!作者: Seminar 時(shí)間: 2025-3-25 20:09 作者: largesse 時(shí)間: 2025-3-26 02:09 作者: 委派 時(shí)間: 2025-3-26 05:47
A self-delimiting Turing machine considered as a set of (program, output) pairs is just one of many possible self-delimiting binary computers . Each such . can be simulated by . by adding a LISP prefix σ.作者: 水獺 時(shí)間: 2025-3-26 08:56
The connection between program-size complexity and algorithmic probability: ,=-log,+,(1). Occam’s raThe first half of the main theorem of this chapter is trivial:.therefore作者: Asymptomatic 時(shí)間: 2025-3-26 13:58 作者: 雜役 時(shí)間: 2025-3-26 18:41 作者: candle 時(shí)間: 2025-3-26 22:16 作者: WAG 時(shí)間: 2025-3-27 02:07 作者: 連累 時(shí)間: 2025-3-27 08:07
colleague of mine! One way or another, the goal of this book is to make you into a participant, not a passive observer of AlT. In other words, it‘s too easy to just listen to a recording of AIT, that‘s not the way to learn music.978-1-4471-1085-9978-1-4471-0307-3作者: 天真 時(shí)間: 2025-3-27 12:12 作者: 兇兆 時(shí)間: 2025-3-27 15:01
How to construct self-delimiting Turing machines: the Kraft inequalityput graphs. This is our most basic tool. We’ll use it many times: over and over again in what’s left of Part II and in Part III. In fact, using this technique is at the heart of the next two chapters, it’s really what these two chapters are about.作者: 顯而易見(jiàn) 時(shí)間: 2025-3-27 20:02
Theoretical interlude—What is randomness? My definitionscally incompressible or irreducible. More precisely, a member of a set of objects is random if it has the highest complexity that is possible within this set. In other words, the random objects in a set are those that have the highest complexity. Applied to the set of all .-bit strings this gives on作者: 來(lái)自于 時(shí)間: 2025-3-28 01:51
Proof that Martin-L?f randomness is equivalent to Chaitin randomnesschapter I’ll show you two . definitions of a random real that look very different from my program-size irreducibility definition, but which actually turn out to be equivalent. These are P. Martin-L?f’s and R.M. Solovay’s definitions of a random real, and I’ll start with Martin-L?fs definition, which作者: synovitis 時(shí)間: 2025-3-28 03:03 作者: 現(xiàn)代 時(shí)間: 2025-3-28 07:17 作者: hazard 時(shí)間: 2025-3-28 12:40
to discuss my work on incompleteness in more detail. In this book we‘ll use LISP to explore my theory of randomness, called algorithmic information theory (AIT). And when I say "explore" I mean it! This book is full of exercises for the reader, ranging from the mathematical equivalent oftrivial "fi作者: COLIC 時(shí)間: 2025-3-28 16:04 作者: 依法逮捕 時(shí)間: 2025-3-28 19:24 作者: Limpid 時(shí)間: 2025-3-29 01:31 作者: BUDGE 時(shí)間: 2025-3-29 06:27
What is LISP? Why do I like it?at I invented, and in the next chapter I’ll tell you how to use it to program the universal Turing machine that we’ll use to measure the size of computer programs and to define the program-size complexity .作者: 輕率看法 時(shí)間: 2025-3-29 08:38
Theoretical interlude—What is randomness? My definitionshis set. In other words, the random objects in a set are those that have the highest complexity. Applied to the set of all .-bit strings this gives one of our definitions, applied to infinite binary sequences this gives our second definition.作者: 我沒(méi)有命令 時(shí)間: 2025-3-29 11:49
1572-5553 mplimentary text to existing titles on Deligne-Lusztig theor.Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the gene作者: Obligatory 時(shí)間: 2025-3-29 17:59
