Math Symbols And
Introduction :
In mathematics, we can use the “and” symbol in discrete math section. The math symbol denoting the “and” is ^. For example p ^ q, we have used in logic truth tables. It is one of the logical operator and it can be denoted as AND or &. Also we are using in the fuzzy logic and contradictory to their functions.
Symbol Denoting AND:
It is an operator to connect the two statements. It can join the smaller compounds into larger compounds. Then it is said to be sentential connectives. The operators and symbols are most frequently used for denoting the symbolic language.
Other Symbols Used with And in Math
There are many Truth Table Symbols that can be used with and symbol in math.
a = b – symbol represent that, a is equal to b.
a ~ b – symbol represent that, a is approximately equal to b.
~a – symbol denoting the false statement of a.
p => q – symbol represents that, p implies q.
p <= q – symbol represent that, p implied by q.
p `hArr` q – symbol represent that, p is equivalent to q
p iff q – symbol represents p if and only if q.
p v q – symbol represents p or q.
p ^ q – symbol represents p and q.
p X q – symbol represents p XOR q.
Truth Table for Denoting the Premises
There are two given statements:
Shilpha says that,
Saturday is school holiday.
I am going to amusement park on Saturday.
Draw Truth Table for the following statements.
Truth Table for p ^ q in Math:
P Q P ^ Q
T T T
T F F
F T F
F F F
In the first statement both the value of p and q is true then the truth table for p ^ q is true. If any one of the following p and q value is false, then the truth table for p ^ q is false for second and third statements. Then fourth statement is, the value of p and q is false the truth table for p ^ q is false. Also we can use “1” in the place of true value. And also use “0” in the place of false value.
In mathematics, we can use the “and” symbol in discrete math section. The math symbol denoting the “and” is ^. For example p ^ q, we have used in logic truth tables. It is one of the logical operator and it can be denoted as AND or &. Also we are using in the fuzzy logic and contradictory to their functions.
Symbol Denoting AND:
It is an operator to connect the two statements. It can join the smaller compounds into larger compounds. Then it is said to be sentential connectives. The operators and symbols are most frequently used for denoting the symbolic language.
Other Symbols Used with And in Math
There are many Truth Table Symbols that can be used with and symbol in math.
a = b – symbol represent that, a is equal to b.
a ~ b – symbol represent that, a is approximately equal to b.
~a – symbol denoting the false statement of a.
p => q – symbol represents that, p implies q.
p <= q – symbol represent that, p implied by q.
p `hArr` q – symbol represent that, p is equivalent to q
p iff q – symbol represents p if and only if q.
p v q – symbol represents p or q.
p ^ q – symbol represents p and q.
p X q – symbol represents p XOR q.
Truth Table for Denoting the Premises
There are two given statements:
Shilpha says that,
Saturday is school holiday.
I am going to amusement park on Saturday.
Draw Truth Table for the following statements.
Truth Table for p ^ q in Math:
P Q P ^ Q
T T T
T F F
F T F
F F F
In the first statement both the value of p and q is true then the truth table for p ^ q is true. If any one of the following p and q value is false, then the truth table for p ^ q is false for second and third statements. Then fourth statement is, the value of p and q is false the truth table for p ^ q is false. Also we can use “1” in the place of true value. And also use “0” in the place of false value.