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Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage.
Ans: A tree is a graph like that it is connected, it has no loop or circuit of any length and number of edges in it is one less as compared to the number of vertices.
If the downward slop of an arc is taken as the direction of the arc after that the above graph can be considered as a directed graph. In degree of node + is zero and of all other nodes is one. There are nodes such as 3, 4, 5, 2 and 5 without degree zero and all other nodes comprise out degree > 0. A node with in degree zero in a tree is known as root of the tree. Each tree has one and just only one root and that is why a directed tree is as well known as a rooted tree. The position of each labeled node is fixed, any change in the position of node will modify the meaning of the expression denoted by the tree. Such kind of tree is called ordered tree.
A tree structure is utilized in evaluation of an arithmetic expression (parsing technique) The other common application is search tree. The tree presented is an instance of expression tree. An instance of binary search tree is shown below.
Trapezoid Rule - Approximating Definite Integrals For this rule we will do similar set up as for the Midpoint Rule. We will break up the interval [a, b] into n subintervals of
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
Example of addition of Signed Numbers: Example: (-2) + 3 + 4 = 0 - 2 + 3 + 4 Solution: Thus: (-2) + 3 + 4 = 5 Example: 10 + (-5) + 8 + (-7)
(1 0 3 21 -1 1 -1 1) find A-1
Position Vector There is one presentation of a vector that is unique in some way. The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point A = (0,0,0) and ends
Infinite Limits : In this section we will see limits whose value is infinity or minus infinity. The primary thing we have to probably do here is to define just what we mean w
Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T
Audrey is creating a increased flowerbed which is 4.5 ft by 4.5 ft. She requires computing how much lumber to buy. If she requires knowing the distance around the flowerbed, which
how do i find the area of a composite
What kinds of classroom activities can you think of for helping children to make groups of 5 and 10? Once they have enough practice with such activities, children can be helped
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