Mat 215a Recap
نویسنده
چکیده
(a) D: α0 = 1, α1 = 1, α2 = 1. χ(D ) = 1. (b) S: α0 = 1, α1 = 0, α2 = 1. χ(S ) = 2. (c) Möbius band: α0 = 1, α1 = 2, α2 = 1. χ(M) = 0. (d) Mg of genus g: α0 = 1, α1 = 2g, α2 = 1. χ(Mg) = 2− 2g. 6. RP n = (R − {0})/{z ∼ λz} = S/{z ∼ −z} = S/Z2 RP n = σ ∪ RP n−1 implies RP n = σ ∪ σn−1 ∪ · · · ∪ σ χ(RP ) = 1 for n even and 0 for n odd. 7. CP n = (C − {0})/{z ∼ λz} = S/{z ∼ λz||λ| = 1} CP n = σ ∪ CP n−1 implies CP n = σ ∪ σ2n−2 ∪ · · · ∪ σ χ(CP ) = n+ 1.
منابع مشابه
Functional Analysis of four LDLR 5′UTR and promoter variants in patients with Familial Hypercholesterolemia
Familial hypercholesterolaemia (FH) is an autosomal dominant inherited disease characterised by increased low-density lipoprotein cholesterol (LDL-C) levels. The functionality of four novel variants within the LDLR 5′UTR and promoter located at c.-13A>G, c.-101T>C, c.-121T>C and c.-215A>G were investigated using in silico and in vitro assays, and a systemic bioinformatics analysis of all 36 rep...
متن کاملUnsupervised Text Recap Extraction for TV Series
Sequences found at the beginning of TV shows help the audience absorb the essence of previous episodes, and grab their attention with upcoming plots. In this paper, we propose a novel task, text recap extraction. Compared with conventional summarization, text recap extraction captures the duality of summarization and plot contingency between adjacent episodes. We present a new dataset, TVRecap,...
متن کاملPharmacokinetic Modeling and Dose Selection in a Randomized, Double-Blind, Placebo-Controlled Trial of a Human Recombinant Alkaline Phosphatase in Healthy Volunteers
BACKGROUND AND OBJECTIVE Previous clinical trials have suggested that bovine intestinal alkaline phosphatase has renal protective effects in patients with sepsis-associated acute kidney injury. We conducted a first-in-human study to investigate the pharmacokinetics, safety and tolerability of a novel human recombinant alkaline phosphatase (recAP), and we developed a population pharmacokinetic m...
متن کاملMat 206 Recap
6. Suppose X is a metric space, let BX be the σ-algebra generated by the open sets of X, we call BX the Borel σ-algebra and its elements Borel sets. 7. A countable intersection of open sets is called a Gδ set ; a countable union of closed sets is called an Fσ set . 8. We call a collection of subsets of X an elementary family if (i) ∅ ∈ E ; (ii) if E,F ∈ E , then E ∩ F ∈ E ; and (iii) if E ∈ E ,...
متن کاملMat 201b Recap
4. Let (Ω,Σ, μ) be a measure space. If f : Ω → R, then we say that f is a measurable function if for every t ∈ R, the level set: Sf (t) = {x ∈ Ω|f(x) > t} is measurable. f : Ω→ C is measurable if and only if both Re(f) and Im(f) are measurable. 5. A real function f : Ω → R is lower semicontinuous on Ω if Sf (t) is open, and is upper semicontinuous if {x ∈ Ω|f(x) < t} is open. Equivalently, f is...
متن کامل