Operations are defined on quantities, so that:
Tiny quantities occur in most rocks and soils.
You can make 2 separate batches of gingerbread by halving the quantities.
Rather, he emphasizes the possibility of defining these quantities.
Quantities of different dimensions cannot be compared with one another.
Occasionally sardines also appear in relatively small quantities in the southeastern part.
A poison is any substance that can cause illness or death when ingested in small quantities.
Which physical quantities are sharply defined, and which values they take, may change in time.
They also contain smaller quantities of carbonates, feldspars, iron oxides, fossils, and organic matter.
…fracking consume large quantities of fresh water, and they return that water in a highly polluted state.
…of it is converted to phenylpyruvic acid, a substance that normally is produced only in small quantities.
For Einstein, the Lorentz-transformed quantities are the correctly measured real quantities.
Hydrogen cyanide may be isolated in small quantities from plants, where it occurs in combination with sugars.
In its most natural sense, ‘body’ signifies bodies, which are not quantities but rather things with quantities.
He distinguished between quantities that remain constant as a consequence of such dynamical adjustment, and quantities that remain constant by persistence because they are isolated and undisturbed.
He proceeds to chastise Descartes on two counts, first for doing violence to the scriptures by taking them to refer to the absolute quantities, and second, for confusing the true quantities with their relative measures.
Although all physical objects have some value (or amount) of momentum and kinetic energy, the value of each of these quantities depends on the inertial reference frame relative to which one is measuring these quantities.
Intracellular fluid contains relatively large quantities of potassium, phosphate, and proteins, and extracellular fluid contains relatively large quantities of sodium and chloride ions and smaller concentrations of proteins than found…
And various other quantities that have nothing to do with probability do satisfy Kolmogorov’s axioms, and thus are ‘interpretations’ of it in the strict sense: normalized mass, length, area, volume, and other quantities that fall under the scope of measure theory, the abstract mathematical theory that generalizes such quantities.
It follows from (P2), by (3.1), that no quantum mechanical state is an eigenstate of all observables (and indeed that there are observables which have no eigenstates in common), and so, by (3.2), that no quantum mechanical system ever has simultaneous values for all of the quantities pertaining to it (and indeed that there are pairs of quantities to which no state assigns simultaneous values).
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It follows from P2 by 31 that no quantum mechanical state is an eigenstate of all observables and indeed that there are observables which have no eigenstates in common and so by 32 that no quantum mechanical system ever has simultaneous values for all of the quantities pertaining to it and indeed that there are pairs of quantities to which no state assigns simultaneous values