Are logarithms polynomial?

Is log a polynomial? – Quora. No, it certainly isn’t. At least, while it might be an uninteresting polynomial over some commutative ring with non-zero characteristic, it certainly isn’t a polynomial over a ring with characteristic zero.

Is N to the power of log n polynomial?

The answer is no. O(n ^ (log n)) is not polynomial or exponential. We can rewrite this as n ^ O(log n) to help comparisons. It’s easy to see that n ^ O(1) < n ^ O(log n) < n^O(n) since constant time is less than logarithmic time and logarithmic time is less than linear time.

Is polynomial the same as exponential?

There is a big difference between an exponential function and a polynomial. The function p(x) = x3 is a polynomial. Here the “variable”, x, is being raised to some constant power. The function f(x)=3x is an exponential function; the variable is the exponent.

What are logarithmic and exponential functions?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. This unknown exponent, y, equals logax. So you see a logarithm is nothing more than an exponent.

Is O log n polynomial?

Yes, O(nlogn) is polynomial time. From http://mathworld.wolfram.com/PolynomialTime.html, An algorithm is said to be solvable in polynomial time if the number of steps required to complete the algorithm for a given input is O(n^m) for some nonnegative integer m, where n is the complexity of the input.

Is N squared polynomial?

O(n^2) is polynomial time. Any exponential growth function will grow significantly faster (long term) than any polynomial function, so the distinction is relevant to the efficiency of an algorithm, especially for large values of n.

Is N N exponential?

4 Answers. n! eventually grows faster than an exponential with a constant base (2^n and e^n), but n^n grows faster than n! since the base grows as n increases.

What is log and exponential?

How do you write exponential notation?

In exponential notation, a number usually is expressed as a coefficient between one and ten times an integral power of ten, the exponent. To express a number in exponential notation, write it in the form: c × 10n, where c is a number between 1 and 10 (e.g. 1, 2.5, 6.3, 9.8) and n is an integer (e.g. 1, -3, 6, -2).