Sentence examples for many zeros where from inspiring English sources

Then, for n ≥ 2; f (z) n f (z + c) - p z) has infinitely many zeros, where p z) is a non-zero polynomial.

Thus, [ f ( z ) n Δ c f ] ( k ) = p 1 ( z ) e ( n + 1 ) b z has finitely many zeros, where p 1 ( z ) is a nonzero polynomial.

If n ≥ 3, then F 2 ( z ) − a has infinitely many zeros, where a ∈ C. Some more general differential-q-shift-difference polynomials are investigated in the following.

Then for n ≥ 2, f ( z ) n f ( z + c ) − p ( z ) has infinitely many zeros, where p ( z ) ≢ 0 is a polynomial in z.

If n ≥ 1, then f ( z ) n f ( k ) ( z + c ) − b has infinitely many zeros, where b is a non-zero constant.

Theorem A Suppose that f is a transcendental meromorphic function, n, k are two positive integers, then when n ≥ 2, ( f f ( k ) ) n − a ( z ) has infinitely many zeros, where a ( z ) ≢ 0 is a small function of f.

This repeated over many thousands of frames where events are binned into a spectrum per pixel.

Rankings reflect sales, for the week ended Nov. 3, at many thousands of venues where a wide range of general interest books are sold nationwide.

So many millions of kids where turned on to Rock 'n' Roll by Elvis that the odds dictated that Something New would happen.

Rift valleys are formed by the sliding of the hanging walls downward many thousands of metres, where they then become the valley floors.

Jean Robinson, president of the Association for Improvements in the Maternity Services, says her organisation has dealt with many hundreds of cases where such choices have prompted referrals to child safeguarding teams.