By Pat Williams, James Denney
While trainer John wood graduated from 8th grade his father gave him a handwritten card and acknowledged, "Son, attempt to reside as much as this." at the card, his father had written seven easy but profound lifestyles principles:
Be real to yourself
Make friendship a superb art
Drink deeply from reliable books, particularly the Bible
Make every day your masterpiece
Build a take care of opposed to a wet day by way of the existence you live
Give thank you on your benefits and pray for assistance each day
These ideas have been the main to teach Wooden's greatness--and his goodness. via robust tales and pithy recommendation, this ebook stocks the knowledge that made wood chuffed and winning. This inspirational and conversational e-book will motivate, problem, and encourage readers to construct those rules into their very own lives.
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Additional resources for Coach Wooden: The 7 Principles That Shaped His Life and Will Change Yours
When E3 (f, g(A)) appears in text we assume that it is ﬁnite. 2. (i) If g is the identity 1R of R then E3 (f, g(A)) = E(f, A). (ii) If g(x) = (x−E(f, A))2 for any x ∈ R then E3 (f, g(A)) = V ar3 (f, A). ¯ then E3 (f, g(A)) = λ. (iii) If λ ∈ R and g = λ Proof. (i) If g = 1R then 1 1 [ E3 (f, g(A)) = 0 a2 (γ)−a1 (γ) a2 (γ)]f (γ)dγ = E(f, A). 4. (iii) A direct calculation. 3. Let g : R → R and h : R → R be two continuous functions such that g(x) ≤ h(x) for any x ∈ R. Then E3 (f, g(A)) ≤ E3 (f, h(A)).
Proof. Assume g ≤ h. Then for any γ ∈ [0, 1], we have a2 (γ) a2 (γ) a1 (γ) g(x)dx ≤ a1 (γ) h(x)dx. Since a1 (γ) ≤ a2 (γ) and f ≥ 0 the following inequality holds a2 (γ) a2 (γ) 1 1 g(x)dx]f (γ) ≤ [ a2 (γ)−a h(x)dx]f (γ) [ a2 (γ)−a 1 (γ) a1 (γ) 1 (γ) a1 (γ) Due to the monotony of the integral, E3 (f, g(A)) ≤ E3 (f, h(A)) follows immediately. 4. Let g : R → R and h : R → R be two continuous functions and a, b ∈ R. We consider the continuous function u = ag + bh. Then E3 (f, u(A)) = aE3 (f, g(A)) + bE3 (f, h(A)).
3 contains the construction of a general theory of possibilistic risk aversion in the context oﬀered by an expected utility operator. The two approaches to possibilistic risk aversion of Chapter 4 are obtained as particular cases. We also obtain a third distinctive possibilistic model of risk aversion (corresponding to the possibilistic variance V ar1 (A)). 4 we prove an abstract form of possibilistic Pratt’s theorem. 1 Expected Utility Operators In this section expected utility operators are axiomatically deﬁned.
Coach Wooden: The 7 Principles That Shaped His Life and Will Change Yours by Pat Williams, James Denney