Sentence examples for sums of restricted from inspiring English sources

Indeed, troubled financial institutions are already giving executives significant sums of restricted stock -- shares that are locked up for years and can be sold only under specified conditions -- in part because they are trying to preserve cash.

The aim of this article is to prove some arithmetical identities involving certain arithmetic functions and convolution sums of restricted divisor functions.

Utilizing the theory of elliptic curves over ℂ to the normalized lattice Λ τ, its connection to the Weierstrass ℘-functions and to the Eisenstein series E 4 and E 6 , we establish some arithmetic identities involving certain arithmetic functions and convolution sums of restricted divisor functions.

In proving arithmetical identities involving the coefficient a ( n ) (where a ( n ) is defined as in (11)), we need to study the quantities S 1 3 and S 1 S 2 2 and in turn the convolution sums of restricted divisor functions along with a ( n ) come out very naturally.

Once one of their ideas is established, they can mobilize large sums of capital restricted to that specific project or area.

But defenders of the pay package pointed out that of that sum, $18.5m was in the form of restricted stock grants, which the board could cancel later, if other problems emerge.

However, the aim of the next theorem is to express σ 3 ( M ) and σ 5 ( M ) in terms of convolution sums involving restricted divisor functions σ 1, 1 ( N ; 2 ).

Evaluation of the MRC sum score is restricted to cooperative patients.

A Galois-theoretic approach, combined with p-divisibility results on Gauss sums, is used here to prove a variety of new results that constrain which fields K and exponents d support three-valued Weil sums, and restrict the values that such Weil sums may assume.

People on lower incomes wanting to borrow small sums of money often find themselves restricted to expensive credit deals from specialist lenders whereas credit unions offer a much better value alternative.

Real estate investment environment is the sum of external factors restricting and affecting real estate investment, and people are struggling to make a satisfactory decision in the real estate investment environment, especially in the investment to buy their house.