Sentence examples for mathematical explanations provide from inspiring English sources

These mathematical explanations provide a theoretical basis for applying these theories in physics, biology, chemistry, and engineering.

Steiner's theory, as we have mentioned, requires an account of mathematical explanations of mathematical facts, which he provided in Steiner 1978a.

The second deals with the problem of whether mathematical explanations occur within mathematics itself.

Although simulations in later sections will confirm our intuition that dimension expansion resolves the "folding" problem, in this section we provide a mathematical explanation of this intuition to better understand the capability and limitations of dimension expansion.

Scientists seeking to provide a mathematical explanation for the phenomenon, long noticed by travelers, built a model that mimics the body's timekeeping cells, using factors like light sensitivity, the brightness of the light, and how much people's internal clocks are "skewed" from real time an offset that can be as long as 1 hour.

However the expression IIPmax ≈ log kdrug -log δpre+ kHIV)+ mlog kdrug -log δprevide one mathematical explanation for why IIPmax correlates with cmax.

There are no mathematical explanations yet for life, love or consciousness.

Mathematical explanations of empirical facts have not been sufficiently studied.

Secondly, as it has become apparent from our exposition, accounting for mathematical explanations of scientific facts will very likely require an account of mathematical explanations of mathematical facts.

In particular, they also make appeal to the existence of mathematical explanations of mathematical facts, for which see below.

Among those who resisted this confusion between "physical explanations" and "mathematical explanations" was the Jesuit Louis Castel.