-
Arithmetic is an
elementary branch of
mathematics that
deals with
numerical operations like addition, subtraction, multiplication, and division. In a wider...
- than it. If
elements in the data
increase arithmetically when
placed in some order, then the
median and
arithmetic average are equal. For example, consider...
- An
arithmetic progression or
arithmetic sequence is a
sequence of
numbers such that the
difference from any
succeeding term to its
preceding term remains...
-
natural numbers is
arithmetical or
arithmetically definable if
there is a first-order
formula φ(n) in the
language of
Peano arithmetic such that each number...
-
arithmetic is the
undefinability theorem of
Alfred Tarski (1936). It
states that the set Th( N {\displaystyle {\mathcal {N}}} ) is not
arithmetically...
- mathematics,
modular arithmetic is a
system of
arithmetic operations for integers,
other than the
usual ones from
elementary arithmetic,
where numbers "wrap...
- In mathematics,
Robinson arithmetic is a
finitely axiomatized fragment of first-order
Peano arithmetic (PA),
first set out by
Raphael M.
Robinson in 1950...
-
axiomatization of
arithmetic provided by
Peano axioms is
commonly called Peano arithmetic. The
importance of
formalizing arithmetic was not well appreciated...
- mathematics,
arithmetic geometry is
roughly the
application of
techniques from
algebraic geometry to
problems in
number theory.
Arithmetic geometry is...
- (also
arithmetic and
arithmetically definable) if it is
defined by some
formula in the
language of
Peano arithmetic.
Equivalently X is
arithmetical if X...