Sentence examples for principal root of from inspiring English sources

The principal root of a positive real number b with a rational exponent u/v in lowest terms satisfies :b^\frac{u}{v} = \left(b^u\right)^\frac{1}{v} = \sqrt[v]{b^u} where u is an integer and v is a positive integer.

Myth is one of the principal roots of drama.

There is substantial evidence of UK involvement and Mossadegh's overthrow remains one of the principal roots of anti-British feeling in Iran today.

Ameliorative strategies would be different if, for example, income levels mediate the ability to comply with helmet laws and are therefore the principal root cause of laws' differential effects than if helmet laws were less effective in some populations because risk communications that accompanied laws were poorly targeted across groups.

Frank DeAngelis, Columbine's principal, rooted for his team from the stands tonight.

It is shown that the coefficients of the modified equation provide information for only the principal root.

In Arabidopsis seedlings, the bulk HA and its SF revealed a classical large auxin-like exogenous response, i.e.: shortened the principal root axis and induced lateral roots, while the effects in maize corresponded to low auxin-like levels, as suggested by enhanced principal axis length and induction of lateral roots.

There are two roots, one of each sign, if b is positive and v is even (as exemplified by the case in which u=1 and v=2, whereby a positive b has two square roots); in this case the principal root is defined to be the positive one.

The root was sectioned in R1, principal root and R2, secondary root.

(It is sometimes called the principal nth root of unity, although this terminology is not universal and should not be confused with the principal value of n√1, which is 1. ) The other nth roots of unity are given by :\left( e^{ \frac{2}{n} \pi i } \right) ^k = e^{ \frac{2}{n} \pi i k } for 2 ≤ k ≤ n.

The matrix (A^{frac {1}{2}}) is called the (principal) square root of A and the operation (mathbb {S}^{>0}_{n}ni Amapsto A^{frac {1}{2}}in mathbb {S}^{>0}_{n}) is continuous.