natural logarithm

As an example, there are a number of simple series involving the natural logarithm.

The constant e is the base of the natural logarithm.

There are certain rules for integrating using e and the natural logarithm.

Consider the natural logarithm function mapping the real numbers to themselves.

I turned my head away and concentrated on remembering the natural logarithms from one to ten.

A function giving the natural logarithm of its argument.

Once again, all variables are defined as natural logarithms.

This function can be used as the "anti-log" of a natural logarithm.

This is because there is no value for the natural logarithm of negative numbers.

Starting from the natural logarithm of one might use these parameters:

Here, we define the natural logarithm function in terms of a definite integral as above.

The natural logarithm scales additively and so is not homogeneous.

In particular, the sum is equal to the natural logarithm of 2:

He was the first to use the letter e for the base of the natural logarithm, now also known as Euler's number.

Max counted ten, then just to be sure, recalled the first dozen 7-place natural logarithms.

The natural logarithm is the inverse operation of an exponential function.

There is no upper bound for the natural logarithm of as it approaches infinity.

This is true because the natural logarithm is a strictly increasing function.

"log x" without an explicit base may also refer to the natural logarithm.

The natural logarithm can be integrated using integration by parts:

New 2-variable statistic regression models include natural logarithm, exponent, power.

He was the first to prove that e, the base of natural logarithms, is a transcendental number.

"Spock," it says, "what is the natural logarithm of seven?"

The right hand side of this equation can serve as a definition of the natural logarithm.

Spot and futures returns were computed as the natural logarithm of the daily price relatives.