Uhler who gave an approximate value for the constant The quote serves to introduce The Power of Complex Numbers chapter, where the author also refers to a 1921 article from American Mathematical Monthly (28 (3), pp. First that a negative quantity has no logarithm secondly that a negative quantity has no square root thirdly that the first nonexistent is to the second as the circumference of a circle to the diameter. Imagine a person with a gift of ridicule. Havil, we find a quote from the famous Augustus De Morgan: In a more recent, but no less distinguished Impossible? by J. To my chagrin, I could not identify this person of taste. A Frenchman once called this formula 'la plus belle formule de la mathématique'. The result is j j = exp(- p/2) and, quite unexpectedly, j j is real. Raise both sides of the equation j = exp(j p/2) to the j-th power.

Zwikker's classic The Advanced Geometry of Plane Curves and Their Applications, we read (he uses j instead of i, as is customary in engineering science)

p/2 = e - p/2 is not 100% accurate it was not meant to be.

(For a more serious discussion of the properties of complex numbers, see the collection of pages starting with Algebraic Structures of Complex Numbers.)Īs can be seen from the correspondence below, the assertion that i i = e i

p/2 = e - p/2, which is not large but still very real.

Where e is, of course, the base of natural logarithms.

To prove this, recollect Euler's formula: Not only that, but if we look at the quintessential complex number, the imaginary i, then you can verify that i i is real. Complex number to a complex power may be real In the above program, if condition is used to check whether a number is not equal to zero and it’s previous number is complement or not. Output Enter the number you want to test: 9 condition to check whether number is power of two or not C program to check whether a number is power of 2 or not If a number is a power of 2, then the bit’s of the previous number will be a complement of the number. C program to check if a number is a power of 2 using bitwise operation. keep dividing the number by 2 iteratively.Ĭheck whether x % 2 is not equal to zero and x not equal to 1 which indicates x is not power of 2 otherwise if x becomes 1 then it is the power of 2.

In the above program, we have created user-defined function checkPowerofTwo() to accomplish the task. checks whether a number is divisible by 2 Printf(' %d is not a power of 2 ', num) Printf('Enter the number you want to test: ')

function prototype for checking power of two C program to test if a number is a power of 2 using simple function #include We will solve this problem in two different ways: First check below which numbers are the power of two or not. There are various ways to check if a given number is a power of 2. In this example, you will learn about C program to test if a number is a power of 2 in two ways.

Number is apower of 2