C-plus-plus

cout<<"Hello World";

Hello World

Welcome to C++ outputs

Arithmetic operation output

Copy Constructor output

Default Constructor output

Greatest among three numbers output

push and pop output

Reverse String output

Bi-Implication

Bi-Implication: The bi-implication of p and q, denoted in mathematics by p⟺q, is short hand for the statement "p if and only if q". As such, bi-implication requires q to be True only when p is True. In other words, bi-implication fails (is False) when p is True and q is False or when p is False and q is True.

Conjunction

Conjunction: A conjunction is a statement formed by adding two statements with the connector AND. The symbol for conjunction is '∧' which can be read as 'and'. When two statements p and q are joined in a statement, the conjunction will be expressed symbolically as p ∧ q. Conjunction is true when both statements are true, otherwise false.

Bank Account creating class Account with data member's acc_no, balance and min_balance(static)

Fuzzy set

Fuzzy set: Fuzzy refers to something that is unclear or vague. Hence, Fuzzy Set is a Set where every key is associated with value, which is between 0 to 1 based on the certainty .This value is often called as degree of membership. Fuzzy Set is denoted with a Tilde Sign on top of the normal Set notation. Operations on Fuzzy Set with Code :

Union: Consider 2 Fuzzy Sets denoted by A and B, then let’s consider Y be the Union of them, then for every member of A and B, Y will be: Degree of membership(Y)= max(degree of membership(A), degree of membership(B)) For e.g: A = { ( 1 , 0.3 ) ,( 2 , 0.7 ) } and B = { ( 2 , 0.4 ) ,( 3 , 0.6 ) ,( 4 , 0.8 ) } union = { ( 1 , 0.3 ) ,( 2 , 0.7 ) ,( 3 , 0.6 ) ,( 4 , 0.8 ) }
Intersection: Consider 2 Fuzzy Sets denoted by A and B, then let’s consider Y be the Intersection of them, then for every member of A and B, Y will be: Degree of membership(Y)= min(degree of membership(A), degree of membership(B)) A = { ( 1 , 0.3 ) ,( 2 , 0.7 ) } and B = { ( 2 , 0.4 ) ,( 3 , 0.6 ) ,( 4 , 0.8 ) } Intersection ={ ( 2 , 0.4 ) } 3.Complement: Consider a Fuzzy Sets denoted by A , then let’s consider Y be the Complement of it, then for every member of A , Y will be: Degree of membership(Y)= 1 – degree of membership(A) A = { ( 1 , 0.3 ) ,( 2 , 0.7 ) } and B = { ( 2 , 0.4 ) ,( 3 , 0.6 ) ,( 4 , 0.8 ) } COMPLEMENT OF A = { ( 1 , 0.7 ) ,( 2 , 0.3 ) } COMPLEMENT OF B = { ( 2 , 0.6 ) ,( 3 , 0.4 ) ,( 4 , 0.2 ) }

Euclidean algorithm

//WAP to display extended euclidean algo or Bezout's identity.

Floor and celing function

Floor function In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). For example, ⌊3.4⌋ = 3, ⌊−3.4⌋ = −4. Ceiling function Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). For example, ⌈2.4⌉ = 3, and ⌈−2.4⌉ = −2.

Boolean Matrix Operation

Boolean matrix operations are mathematical operations that can be performed on matrices (arrays of numbers) using Boolean logic (true/false values). Some common Boolean matrix operations include meet, join and product. These operations can be used to create new matrices from existing ones, or to manipulate the values within a matrix based on certain conditions.

Aayush-Basnet/C-plus-plus