Sentence examples for quantities differing from inspiring English sources

For Leibniz the incomparable smallness of infinitesimals derived from their failure to satisfy Archimedes' principle; and quantities differing only by an infinitesimal were to be considered equal.

The Marquis de l'Hôpital, who in 1696 published the first treatise on the differential calculus (entitled Analyse des Infiniments Petits pour l'Intelligence des Lignes Courbes), invokes the concept in postulating that "a curved line may be regarded as being made up of infinitely small straight line segments," and that "one can take as equal two quantities differing by an infinitely small quantity".

It has been shown many times that maximum lifespan is a poor proxy for typical longevity in the wild, with the two quantities differing substantially and unpredictably in many cases [ 55, 56].

These quantities differ between experiments because different volumes of sample were processed (some samples were split for parallel analyses) but all samples analyzed satisfied mass balance (initial media Mo = final media Mo + cellular Mo).

In addition, at least for our sample, these quantities differed significantly between muscles with and without neuromuscular disease.

The compositions of the oil extracted by SFE under the different conditions examined were mostly similar and the major compounds identified were 1,2-Benzenedicarboxylic acid, mono (2-ethylhexyl) ester, nonacosane, heptacosane, β-Amyrin, although their quantities differed.

A review of the information available in the early 1980s [76] makes clear that the problems encountered then remain unchanged in character today even if the quantities differ.

In the same figure, the observed variance and simulated box plots are represented (the scale of these quantities differ).

The identical bands were present, but their relative quantities differed, the smaller band being less prevalent than that during infection.

However, not only the quantity differed but, more surprisingly, the PTM distribution also showed remarkable qualitative differences.

The four measures of sperm quantity differed significantly across the species (Table 1).