POSTFIX NOTATION
Postfix also known as Reverse Polish Notation (or RPN), is a notational system where the operation/function follows the arguments. For example, "1 2 add" would be postfix notation for adding the numbers 1 and 2. Most programming languages use either prefix notation ("add(1, 2)" or "(add 1 2)") or infix notation ("1 add 2" or "1 + 2"). Prefix and infix are more familiar to most people, as they are the standard notations used for arithmetic and algebra. Why then should we use postfix notation when in actual fact it seems difficult to understand? Postfix is useful, especially for programming, because it clearly shows the order in which operations are performed, and because it disambiguates operator groupings. For example, the following postfix expression:1 2 + 3 * 6 + 2 3 + / means "take 1 and 2, add them, take 3 and multiply, take 6 and add, take 2 and 3, add them, and divide". In contrast, the equivalent expression in Infix Notation is: (((1 + 2) * 3) + 6) / (2 + 3)

This may seem more familiar, but note the need for parentheses to control the order of evaluation. The prefix notation would be: (/ (+ (* (+ 1 2) 3) 6) (+ 2 3)) which can be read "inside-out" to evaluate the expression.

In postfix notation which is also called Reverse Polish Notation (RPN) the operator follows the two operands, for example Infixpostfix
A+B =A B+
A*(B+C) =ABC+*
A*B/C =AB*C/

TRANSLATE INFIX TO POSTFIX
oAs before, you read the infix from left to right looking at each character in return oAs you go along you copy these operands and operators to the postfix output string the trick knowing when to copy what oIf the character in the infix string is an operand you copy it immediately to the postfix string. Knowing when to copy an operator is more complicated but is the same as the rule to evaluating infix expression.

Translating A+B*(C-D) to postfix

Character read from infix ExpressionInfix Expression parsed so farPostfix expression...

...Component Diagram Notations
The component diagram's main purpose is to show the structural relationships between the components of a system. In addition, component diagrams are useful communication tools for various groups. In creating a component diagram, there are different notations that can be used to show the different relationship of each component within the system. The component diagram notation set now makes it one of the easiest UML...

...MODERN PUBLIC SCHOOL
SHALIMAR BAGH, DELHI-110088
HOLIDAYS’ HOMEWORK, 2013
Dear Parent(s),
Summer Vacations are at our doorsteps. Holidays are a well deserved opportunity to relax and rewind by indulging in activities that are pleasurable and at the same time educative.
It is also a time to explore the exciting city of Delhi, visit places of interest and gather information about the magnificent monuments. Holidays’ Homework has been designed to fire the imagination of students while exciting...

...musical notation when he was thirty-four. He came up with a method for teaching the singers to learn chants in a short time, and quickly became famous throughout north Italy. However, he attracted the hostility of the other monks at the abbey, prompting him to move to Arezzo, a town which had no abbey, but which did have a large group of cathedral singers, who’s training Bishop Tedald invited him to conduct. While at Arezzo, he developed new techniques for teaching, such as...

...SCIENTIFIC NOTATION
* Scientific notation is a way of writing very large and very small numbers in a compact form.
* A number written in scientific notation is written in the form: a x 10b
WRITING A NUMBER IN SCIENTIFIC NOTATION
* Shift the decimal point so that there is one digit before the decimal point.
* Multiply by a power of 10, equal to the number of places the decimal point has been moved.
* The power of 10...

...The Z Notation:
A Reference Manual
Second Edition
J. M. Spivey
Programming Research Group University of Oxford
Based on the work of J. R. Abrial, I. J. Hayes, C. A. R. Hoare, He Jifeng, C. C. Morgan, J. W. Sanders, I. H. Sørensen, J. M. Spivey, B. A. Sufrin
This edition ﬁrst published 1992 by Prentice Hall International (UK) Ltd Published 1998 by J. M. Spivey Oriel College, Oxford, OX1 4EW, England c J. M. Spivey, 1989, 1992 All rights reserved. No part of this...

...HUMORESQUE
Music Score Analysis:
Humoresque is composed by Antonín Dvořák(September 8, 1941 - May 1, 1904, born in Bohemia), a czech composer of the romantic period. He was engaged in major music works comprising of chamber music, orchestral music, piano music, operas and songs(or vocal). A. Dvořák wrote a total of 8 Humoresque short classical pieces and this particular piece(Poco lento e grazioso) is the most popular one which has been produced for various musical arrangements....

... log (n!) = (n log n)
So
log (n!) = Θ (nlog n)
Q3)
Design an algorithm that uses comparisons to select the largest and the second largest of n elements. Find the time complexity of your algorithm (expressed using the big-O notation).
String MaxAndSecond(int a[],int n)
{
int max =0, second =0;
max = a[0];
for (i = 1; i < n; i++) {
if (a[i] >= max) {
second = max;
max = a[i];
} else if (a[i] >...

...directions of search for efficient algorithms.
Big O notation
In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size.
Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation. A description of a function in...