Saturday, 21 January 2012

Conditional Statements

Hello friends, today we are going to learn about conditional statement which comes under the syllabus of tamilnadu  education board. Here I am going to tell you the best way of understanding conditional statement and you can get math help online on this topic also.
First we discuss about what is conditional statement: - A conditional statement in math is a statement in the if-then form. Conditional statement, often called conditional for short is used extensively in a form of logic called deductive reasoning. The logical contractor in a conditional statement is denoted by the symbol ----->.  The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A conditional statement is one that can be put in the form if A then B where A is called the hypothesis and B is called the conclusion. We can convert the above statement into this standard form.Get further details on Conditional statement here,
Let we discuss about feature of conditional statement: - The if part of conditional statement is called the hypothesis and then part is called the conclusion. Conditional statement is a part of any programming language .conditional statement executes line of code only if the condition results true. Conditional statement return true or false. Conditional statements are come in pairs.
Then we discuss about the converse of conditional operator: - In traditional logic we use capital letter as place holder for simple statement. Which is simple deceleration of fact?  Any conditional statement we can always derive three other conditional statement for it.
Three basic conditional statement are :- (1)The converse of conditional statement :- To construct the converse of if  A then  B, we simply exchange A with B  , thus obtaining if B than A which here means .If a conditional statement is true that it converse may be true , but it is not necessarily true. The fact that if there is major snowstorm they will cancel school. You can switch both side around, and not negate them like you would in a contra positive this gives
(2)  The inverse of a conditional statement: - in this conditional statement if A than B we simply negate A and B thus obtaining if not A then not B if the figure is not a triangle then it does not have three side. If a conditional statement is true, then its inverse may be true but it not necessarily true. That negating an already negated variable result in the removal of the Not sign this give us A-------->B this is known as the inverse it inverse the truth value of the original statement.
(3)The contra positive of conditional statement: - in contra positive conditional statement if A than B  we can take the inverse of the converse , or the converse of the inverse obtained if not B than not A. if the conditional statement is true than its contra positive is necessarily true as well. A contra positive is formed by turning and if-then statement around and negating both parts. And it is always true given the truth of the original statement.

In above article we discussed about conditional statement. In next lesson we discuss about more feature of conditional statement.To know answers of interesting questions like is pi a rational number wait till next lecture and
You can also refer Grade XII  blog for further reading on Intersection of a plane with 3-d figures.Read more maths topics of different grades such as Permutations and combinations in the next session here.




 

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