- of
determinate equations (those with a
unique solution) and
indeterminate equations.
Equations in the book are
presently called Diophantine equations. The...
-
essentially of the
theory of
equations. For example, the
fundamental theorem of
algebra belongs to the
theory of
equations and is not, nowadays, considered...
- variables) (VA, VB, VC, and HA) but only
three equilibrium equations, this
system of
simultaneous equations does not have a
unique solution. The
structure is therefore...
-
problems giving numerical solutions of
determinate equations (those with a
unique solution) and
indeterminate equations. Liu **** (220-280 CE)
Contains the...
- priori. That is,
equations were
determined by curves, but
curves were not
determined by
equations. Coordinates, variables, and
equations were subsidiary...
-
mathematicians had been
concerned primarily with
approximate solutions of
determinate equations as far as the
third degree, the
Arithmetica of
Diophantus (such...
-
determine an
appropriate sample size n for
estimating proportions, the
equation below can be solved,
where W
represents the
desired width of the confidence...
- _{A}z\sigma _{xx}~\mathrm {d} A} To
close the
system of
equations we need the
constitutive equations that
relate stresses to
strains (and
hence stresses to...
-
number of
nodal equilibrium equations is
insufficient for solution, in general—unless the
system is
statically determinate. To
resolve this difficulty...
- networks,
named after Gilles Kahn, the
processes are
determinate. This
implies that each
determinate process computes a
continuous function from
input streams...
