テスト生成複雑度 [Fujiwara, et al, IEEE Trans. Comp, 1982]
• Strategy 1: In each step of the algorithm, determine as many signal values as possible that can be uniquely implied .
Strategy 2: Assign a fault signal D or D’ that is uniquely determined or implied by the fault in question.
2010 年 (64 歳 )
The Last Byte R.Aitken@IEEE_Design&Test
ITC’99 ベンチマーク ITC’99@Atlantic City, NJ
この The Last Byte の編集者は Scott Davidson で、私に、このコ ラムを書くように依頼した。
Graduate School of Information Science, Nara Institute of Science and Technology 8916-5 Takayama, Ikoma, Nara, 630-0192 Japan
E-mail: fujiwara@is.naist.jp
Abstract Half a century has passed since R. D. Eldred published the first paper on test
Connection between UMP and EMP | UMP と EMP の関係
There is a strong link between the utility maximization problem (UMP, 効用最 大化問題 ) and the expenditure minimization problem (EMP, 支出最小化問題 ). Let us first consider the following practice question.
Problem Set 2: Due on May 14
Advanced Microeconomics I (Spring, 1st, 2013)
1. Question 1 (6 points)
(a) Suppose the utility function is continuous and strictly increasing. Then, show that the associated indirect utility function v(p, ω) is quasi-convex in (p, ω). (b) Show that the (minimum) expenditure function e(p, u) is concave in p.
Open Set and Closed Set (2)
Boundary and interior
◮ A point x is called a boundary point of a set S in R n
if every ε-ball centered at x contains points in S as well as points not in S. The set of all boundary points of a set S is called boundary, and is denoted ∂S .
Problem Set 2: Posted on November 18
Advanced Microeconomics I (Fall, 1st, 2013)
1. Question 1 (7 points)
A real-valued function f (x) is called homothetic if f (x) = g(h(x)) where g : R → R is a strictly increasing function and h is a real-valued function which is homo- geneous of degree 1. Suppose that preferences can be represented by a homothetic utility function. Then, prove the following statements.
Constant Absolute Risk Aversion
Def We say that preference relation % exhibits invariance to
wealth if (x + p 1 ) % (x + p 2 ) is true or false independent of x.
Thm If u is a vNM continuous utility function representing preferences that are monotonic and exhibit both risk aversion and invariance to wealth, then u must be exponential,
Problem Set 2: Posted on November 4
Advanced Microeconomics I (Fall, 1st, 2014)
1. Question 1 (7 points)
A real-valued function f (x) is called homothetic if f (x) = g(h(x)) where g : R → R is a strictly increasing function and h is a real-valued function which is homo- geneous of degree 1. Suppose that preferences can be represented by a homothetic utility function. Then, prove the following statements.
Problem Set 2: Due on May 10
Advanced Microeconomics I (Spring, 1st, 2012) 1. Question 1 (2 points)
Suppose the production function f satisfies (i) f (0) = 0, (ii) increasing, (iii) con- tinuous, (iv) quasi-concave, and (v) constant returns to scale. Then, show that f must be a concave function of x.