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20 Jan 2008: 7) Let R be a commutative ring with unit. For a,b R we say that a divides b (notation a|b) ifb = ac for some c R. ... If R is a domain, then a b (a|b b|a). We call an elementa RR irreducible if for any factorization a = bc one of b,c is a unit

22 Jan 2008: It is best to think of what is presented here as another reworking of some basicmaterial. ... To have identities for this composition, weneed to contract some silent actions3 and these actions are insignificant.

8 Apr 2008: 2σi , Ki =. i. 2σi. χ̄α̇ : (A , B) =. (. 0 ,1. 2. ). = Ji =1. 2σi , Ki =. i. 2σi. Here are some useful identities concerning the σµ and σµν,. ... ΓAα := ǫαβUABQ̄γ̇(σ̄. 0)γ̇β. for some unitary matrix U (satisfying UU† = 1).

23 Sep 2008: The last two columns (see text) suggest some pitfalls inherent in the notion of "turbulent Prandtl number.". ... Meek, 1988; Fritts and VanZandt, 1989, and references therein], including some direct measurements of wave-induced momentum fluxes.

6 Mar 2008: For measuring some features such as body length, body width, velocity and angle. ... during image capture and processing. Some of these features are described in detail:.

9 Oct 2008: accompanied from A to B, so some interesting conversations were had on the six-hour car journeys often involving a long discussion about noodles, or how the golf game was developing- ... We also feature Personal Views, which provide PaperTigers with some

4 Dec 2008: var(X) = E(X µ)2 = E(X2) µ2. 3. 1.3 Some important random variables. ... We say that θ̂ is asymptotically unbiased. Under some mild assumptions, MLEs are always asymptotically unbiased.

4 Dec 2008: var(X) = E(X µ)2 = E(X2) µ2. 3. 1.3 Some important random variables. ... We say that θ̂ is asymptotically unbiased. Under some mild assumptions, MLEs are always asymptotically unbiased.

3 Jan 2008: Some observations resulting from thisexplanation. Following this line of argument it is possible tomake some interesting observations. ... However,at some point the flow is no longer capable offollowing the sharp curvature near the nose andit

3 Oct 2008: Eliminate E:. 2B. t2= E. t= 1. µ0ǫ0 ( B). Now use the identity ( B) = ( B) 2B and Maxwell’sequation B = 0 to obtain the (vector) wave equation. ... Notes:. • separation of variables doesn’t work for all linear equations, byany means, but it does