1 Graphs and Trees The following two definitions of a tree are equivalent Definition 1: A tree is an acyclic graph of n vertices that has n-1 edges Definition 2: A tree is a connected graph such that Vu, v E V, there is a unique path connecting u to u. In general, when we want to show the equivalence of two definitions, we must show
Background knowledge Four steps one has to go through in looking for a job: a. Look for a post in newspapers, on TV, etc. b. Write a formal application to the target company and follow up with a call C. Get an answer from the company d. Be interviewed by the company
There are many concepts that are used in fuzzy logic that sometimes become useful when studying fuzzy control. The following problems introduce some of the more popular fuzzy logic oncepts that were not treated earlier in the chapter or were treated only briefly (a)The complement(\not )of a fuzzy set with a membership function has a membership function given by A(x)=1-u(x). Sketch the complement of the fuzzy set shown in Figure 2.6 on page 30 (b)There are other ways to def ine the\triangular norm\for representing
1 Unstacking Here is another wildly fun 6.042 game that's surely about to sweep the nation! You begin with a stack of n boxes. Then you make a sequence of moves. In each move, you divide one stack of boxes into two nonempty stacks. The game ends when you have n stacks, each containing a single box You earn points for each move; in particular, if you divide one stack of height a b into two stacks with heights a and b, then you score
Introduction 1-2 Definition of a Fluid Fluid mechanics: the behavior of The solid object will no change fluids at rest and in motion inside the a closed container A fluid is a substance that deforms continuously under the application The liquid will change its shape of a shear(tangential) stress no to conform to that of the matter how small the shear stress container and will take on the may be
