منابع مشابه
Notes for Math 450 Lecture Notes 1
We often have to deal with situations involving hidden or unpredictable factors. Sometimes the unpredictability is an essential element of the phenomenon under investigation. For example, physicists regard radioactive decay as a purely random phenomenon caused by quantum fluctuations of the state of radioactive atoms. More often, the unpredictability is due to our lack of information of all the...
متن کاملEmpirical Processes : Notes 1
See, for example, Billingsley (Prob. & Measure) for a proof. Donsker’s theorem deals with the convergence, in distribution, of the empirical process. In what follows I will assume the basic concepts of convergence in distribution for stochastic processes assuming values in a metric space. Billingsley’s book on weak convergence (especially the 2nd edition) is an excellent reference (in particula...
متن کاملLecture 1 Notes
Professor: Mark van der Laan Email: [email protected] Office: 108 Haviland Hall Office Hours: MW 1-2 Textbook: None required, but material is covered in a handout distributed to the class. Optional reading is The Statistical Analysis of Failure Time Data by Kalbfleisch and Prentice. Grading: Based on attendance, class notes (students write their notes for one lecture as a LaTex document), ...
متن کاملNotes for 1-27
Let us first examine this sequence in the 1-dimensional case. When the underlying manifold is C, the claim is that 0→ Hol→ C∞ ∂ −→ Ω → 0 is exact. Clearly, Hol → C∞ is injective, and we observed last class that Hol is precisely the kernel of the map ∂ : C∞ → Ω0,1, so the only difficulty in verifying exactness is in showing that ∂ : C∞ → Ω0,1 is surjective. That is, given a smooth function g : C...
متن کاملNotes for Lecture 1
This course assumes CS170, or equivalent, as a prerequisite. We will assume that the reader is familiar with the notions of algorithm and running time, as well as with basic notions of discrete math and probability. We will occasionally refer to Turing machines, especially in this lecture. A main objective of theoretical computer science is to understand the amount of resources (time, memory, c...
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ژورنال
عنوان ژورنال: Nature
سال: 1882
ISSN: 0028-0836,1476-4687
DOI: 10.1038/026051a0