CONTRIBUTIONS TO THE
ALGEBRAIC THEORY OF DIMENSIONAL ANALYSIS
Dimensional analysis is based on the tacitly accepted idea, that physical
quantities, units and their dimensions represents algebraically factors, with
which you can perform ordinary operations like with the numbers. To
demonstrate the viability of this idea in the present paper were formulated and
proved four theorems of algebraic theory of dimensional analysis, taking as
starting point the relation between the definition of the physical quantities and
the invariance principle of the physical laws. It also shows, whether two
quantities are mechanical in nature, the product or multiplier of them is also of
mechanical nature. This correlations can be extended to others physical
quantities such as heat, electricity, electromagnetic, chemical etc.
Keywords: physical quantity, unit, numerical value, dimension,
dimensional analysis
Cuvinte cheie: mărime fizică, unitate, valoare numerică, dimensiune,
analiză dimensională
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