ALGORITHMS:
The term algorithm originally referred to any computation performed via a set of rules
applied to numbers written in decimal form. The word is derived from the phonetic
pronunciation of the last name of Abu Ja'far Mohammed ibn Musa al-Khowarizmi, who
was an Arabic mathematician who invented a set of rules for performing the four basic
arithmetic operations (addition, subtraction, multiplication and division) on decimal
numbers.
An algorithm is a representation of a solution to a problem. If a problem can be defined
as a difference between a desired situation and the current situation in which one is, then
a problem solution is a procedure, or method, for transforming the current situation to the
desired one. We solve many such trivial problems every day without even thinking about
it, for example making breakfast, travelling to the workplace etc. But the solution to such
problems requires little intellectual effort and is relatively unimportant. However, the
solution of a more interesting problem of more importance usually involves stating the
problem in an understandable form and communicating the solution to others. In the case
where a computer is part of the means of solving the problem, a procedure, explicitly
stating the steps leading to the solution, must be transmitted to the computer. This
concept of problem solution and communication makes the study of algorithms important
to computer science.
Throughout history, man has thought of ever more elegant ways of reducing the amount
of labour needed to do things. A computer has immense potential for saving time/energy,
as most (computational) tasks that are repetitive or can be generalised can be done by a
computer. For a computer to perform a desired task, a method for carrying out some
sequence of events, resulting in accomplishing the task, must somehow be described to
the computer. The algorithm can be described on many levels because the algorithm is
just the procedure of steps to take and get the result. The language used to describe an
algorithm to other people will be quite different from that which is used by the computer,
however the actual algorithm will in essence be the same.
An example of an algorithm
people use would be a recipe to make a cake.
"4 extra large eggs, beaten
1&1/2 C. stock
1/2 teaspoon salt
1 scallion, minced
1 C. small shrimp or lobster flakes
1 t. soy sauce
1 Tablespoon oil
1. Mix all the ingredients, except the oil, in a deep bowl
2. Put 1" water in wide pot, then place deep bowl of batter inside.
3. Cover pot tightly and steam 15 min.
4. Heat oil very hot and pour over custard.
5. Steam 5 more min. Serves 4 people"
This breaks down 'Making Chinese egg custard' into smaller steps. To make the product
one still needs to know how to execute each of the steps in the procedure and understand
all of the terms.
