Explain the work with special cases
Answers
Explanation:
In logic, especially as applied in mathematics, concept A is a special case or specialization of concept B precisely if every instance of A is also an instance of B but not vice versa, or equivalently, if B is a generalization of A. A limiting case is a type of special case which is arrived at by taking some aspect of the concept to the extreme of what is permitted in the general case. A degenerate case is a special case which is in some way qualitatively different from almost all of the cases allowed.
Special case examples include the following:
All squares are rectangles (but not all rectangles are squares); therefore the square is a special case of the rectangle.
Fermat's Last Theorem, that an + bn = cn has no solutions in positive integers with n > 2, is a special case of Beal's conjecture, that ax + by = cz has no primitive solutions in positive integers with x, y, and z all greater than 2, specifically, the case of x = y = z.
POSITIVE WORK: The work done on an object is said to be positive work when force and displacement are in same direction.
Example: When an object moves on horizontal surface, force and displacement acts in same direction. So, work done is positive.
NEGATIVE WORK: The work done is said to be negative work when force and displacement are in opposite direction.
Example: When an object is thrown upwards,the force of gravity is in downward direction whereas displacement acts in upward direction.
ZERO WORK: The work done is said to be zero when force and displacement are perpendicular to each other or when either force or displacement is zero.
Example: When we hold an object and walk, the force acts in downward direction whereas displacement acts in forward direction.