Sentence examples for but not equal to from inspiring English sources

(Miranda's Spanish is good, but not equal to that of a native speaker).

Strictly speaking, however, the justification is circular because the probability in the above equation, which is very close to but not equal to 1, requires its own relative frequency interpretation.

Let p ≥ 5 but not equal to seven.

These relationships include a series of transfer functions that are analogous to, but not equal to, stretch-efficiency functions.

The maximum likelihood estimator ( {widehat{beta}}_1 ) was | 0.1117|; it was less than one but not equal to zero.

The Göttingen minipig is close, but not equal, to humans regarding weight, joint size and articular cartilage collagen arrangement.

The subscript 'y' approaches zero but does not equal to zero.

External loss of entrainment occurs when (omega _{i}^) are equal for all oscillators in the chain but are not equal to the forcing frequency (omega_{mathrm{f}}).

The pulse envelope in this figure corresponds to the optical intensity of the pulse propagating inside the device cavity, which relates with but is not equal to the output optical power.

That is, given k, what sets of integers :\{n_1, \ldots, n_k\} are there, such that, for each i, ni divides but is not equal to :\Bigl(\prod_{j \ne i}^n n_j\Bigr) + 1\quad ?

Znám's problem concerns sets of numbers such that each number in the set divides but is not equal to the product of all the other numbers, plus one.