what is a fractional index?

The General Term for Fractional Index is:..

Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given ea..

Some particular expansions for Fractional Index - For n Q, we hav..

For n Q, we have: ..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such cases, we begin by evaluating the general..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such cases, we begin by evaluating the ..

If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4 ,. are all approximately zero..

Introduction - The first few paragraphs of the story tell us how typically same their days are. He returns from work by the same bus, is met at the door with the same smile, Katy then serves dinner (which also seems quite the same everyday) after which John leaves for the club with the querulous pr..

Relation between Relative Refractive Index and Absolute Refractive Index - Let light travel from air to medium 1. If c and v 1 are the velocities of light in these media, the refractive index of medium 1 with respect to air, or the absolute refractive index o..

Polydispersity index is the ratio of the weight and number average molecular masse..