1.Integrability Demand function x(p,w)(.d.) is HDO, satisfied Walras Law and have a substitution matrix S(p,w) is s.n.s.d. for any (p,w), if it's deduced by rational preference. And if we observed an x(p,w) satisfied such conditions, can we find a preference to rationalization(p,w)? That the integrability problem
Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances
1 The Number-Picking Game Here is a game that you and I could play that reveals a strange property of expectation. 3, First, you think of a probability density function on the natural numbers. Your distri- bution can be absolutely anything you like. For example, you might choose a uniform distribution on 1, 2, ... 6, like the outcome of a fair die roll. Or you might choose a bi- probability, provided that,...,n. You can even give every natural number a non-zero nomial distribution on 0, 1 he sum of all probabilities is 1
支票给银行从存款中支付具体款项的书面支票:汇票 Issue v tr. To circulate or distribute in an official capacity 流通,发出通过政府机关流通或分配 Automatic teller machine Nowhere adv.无处;任何地方都不 nowhere to hide We are nowhere near your bank. cashier n(商店等的)出纳员,(银行或公司的)司库