-
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...
-
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...
- An
arithmetic progression or
arithmetic sequence is a
sequence of
numbers such that the
difference from any
succeeding term to its
preceding term remains...
- mathematics,
modular arithmetic is a
system of
arithmetic operations for integers,
other than the
usual ones from
elementary arithmetic,
where numbers "wrap...
-
motive coming from the
cohomology of Spec K. Two
fields are
called arithmetically equivalent if they have the same
Dedekind zeta function. Wieb Bosma...
- can be
arithmetically encoded with a
binary string of
length n H ( X ) ( 1 + O ( ϵ ) ) {\displaystyle nH(X)(1+O(\epsilon ))} .
Because arithmetic coding...
-
arithmetic is the
undefinability theorem of
Alfred Tarski (1936). It
states that the set Th( N {\displaystyle {\mathcal {N}}} ) is not
arithmetically...
- Büchi
arithmetic of base k is the first-order
theory of the
natural numbers with
addition and the
function V k ( x ) {\displaystyle V_{k}(x)}
which is...
-
definability comes from the
formal theories of
arithmetic, such as
Peano arithmetic. The
language of
arithmetic has
symbols for 0, 1, the
successor operation...
