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Well, "non-polynomial" can be just about anything; presumably you mean a non-polynomial FUNCTION, but there are lots of different types of functions. Polynomials, among other things, have the following properties - assuming you have an expression of the type y = P(x):* The polynomial is defined for any value of "x".
* The polynomial makes is continuous; i.e., it doesn't make sudden "jumps".
* Similarly, the first derivative, the second derivative, etc., are continuous.
A non-polynomial function may not have all of these properties; for example:
* A rational function is not defined at any point where the denominator is zero.
* The square root function is not defined for negative values.
* The first derivative (i.e., the slope) of the absolute value function makes a sudden jump at x = 0.
* The function that takes the integer part of any real number makes sudden jumps at all integers.
What else can I help you with?
What is the different of polynomial and non-polynomial?
Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.
What is the difference between polynomial and non polynomial time complexity?
Polynomial vs non polynomial time complexity
How alike the polynomial and non polynomial?
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
How alike the polynomials and non polynomials?
how alike the polynomial and non polynomial
What is non polynomial - algebraic expressions?
what is non polynomials
What are Similarities of polynomial and non polynomial?
None, except that they are functions of one or more variables.
When is an algebraic expression considered as a non-polynomial expression?
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand
Is x to the power of -2 a polynomial?
No. By the definition of a polynomial, the powers can only be non-negative integers.
The degree of non-zeroconstant polynomial is?
The degree is zero.
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
Is y3 a polynomial?
Yes, ( y^3 ) is a polynomial. A polynomial is defined as a mathematical expression that consists of variables raised to non-negative integer powers, along with coefficients. In this case, ( y^3 ) has a single variable ( y ) raised to the power of 3, which is a non-negative integer. Thus, it fits the definition of a polynomial.
What is the value of a non-zero polynomial raised to zero?
ambot
