Sentence examples for by a smaller quantity from inspiring English sources

The constant 1 4 is best possible in (1.1) in the sense that it cannot be replaced by a smaller quantity.

(i) The constant 1 coefficient of in (3.11) is sharp, in the sense that it cannot be replaced by a smaller quantity.

The coefficient 1 in the second inequality and the constant 1 4 in the last inequality are sharp in the sense that they cannot be replaced by a smaller quantity.

The companies' algorithm specifies that each company will change its prices by a small quantity if they believe that such change is profitable.

Good surface antithrombogenicity is indicated by a small quantity of the platelets adhered on the surface, less activation, and morphological change.

In particular, the LiAl0.08Mn1.92O4 sample demonstrates excellent capacity retention of 99.3% after 50 cycles at 55 °C, confirming the greatly enhanced electrochemical stability of LiMn2O4 by a small quantity of Al-doping.

On the other hand, oils characterized by a small quantity of 1,8-cineole and by a medium mean percentage of the monoterpene, p-cymene, the ketone, cryptone, the aldehydes, phellandral and cuminal were more active.

Furthermore, the form of Proposition 2 also holds under a weaker form of isotropy that allows the expectation of A'A to differ from the identity matrix by a small quantity (see [ 22] for the specification of the matrix norm).

For DNA fragments generated by ChIP (or blunt-end restriction) these limitations are effectively overcome by prior phosphatase treatment, by using recombinant terminal transferase enzyme, and by spiking a small quantity of terminating nucleotide into the tailing reaction.

Since [H3O+] must also be known, the commonest procedure is to measure [A]/[B] in a solution made by adding a small quantity of A or B to a standard buffer solution.

Only by adding a small quantity of additives, waste cooking oil had not been separated from diesel oil.