Sentence examples for sum f from inspiring English sources

A central statement of T is Newton's second law, F=ma, which asserts that the sum F of the forces exerted upon a particle equals its mass m multiplied by its acceleration a.

The sum (f + g:mathbb{T} tomathbb{R}) is nabla differentiable at t with ( f + g )^{nabla}( t ) = f^{nabla}( t ) + g^{nabla}( t ).   2.

The end-to-end sum-rates is defined as R sum ( F T, F X ) ≜ ∑ k = 1 K R k ( F T, F X ).

The stress is calculated through the total force (sum F) over the average area of the cross section A t), as described in Eq. (5).

The sum (f + g:mathbb{T} tomathbb{R}) is nabla differentiable at t with ( f + g )^{nabla}( t ) = f^{nabla}( t ) + g^{nabla}( t ).

The design of F T and F X for maximizing R sum(F T,F X) should take into account t.

Theorem 3 Let f ∈ A m be given by (1.1) and define the partial sums f n ( z ) of f by (2.9).

Theorem 3.4 Let f ∈ Σ be given by (1.1) and define the partial sums f n ( z ) of f by (3.18).

Summed F mg is magnetic force between the nanoparticle and the aggregate computed by summation of magnetic forces between the nanoparticle and all the nanoparticles in the aggregate.

For the partial sums f n ( z ) of f ( z ) ∈ S ∗, Szegö [1] showed that if f ( z ) ∈ S ∗, then f n ( z ) ∈ S ∗ for | z | < 1 4 and f n ( z ) ∈ C for | z | < 1 8. Owa [2] considered the starlikeness and convexity of partial sums, f n ( z ) = z + a n z n, of certain functions in the unit disk.

Theorem 3.3 Let f ∈ Σ be given by (1.1) and define the partial sums f n ( z ) of f by f n ( z ) = 1 z + ∑ k = 1 n a k z k ( n ∈ N ).