<span class="searchmatch">p</span>-<span class="searchmatch">adic</span> <span class="searchmatch">numbers</span> plural of <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> number...
<span class="searchmatch">numbers</span>): ℓ-<span class="searchmatch">adic</span> <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> absolute value <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> norm <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> number <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> order <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> ordinal <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> ultrametric Translations ℓ-<span class="searchmatch">adic</span> cohomology <span class="searchmatch">p</span>-<span class="searchmatch">adic</span>...
article on: <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> number Wikipedia <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> number (plural <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> <span class="searchmatch">numbers</span>) (number theory) An element of a completion of the field of rational <span class="searchmatch">numbers</span> with respect...
) = | x − y | <span class="searchmatch">p</span> {\displaystyle d_{<span class="searchmatch">p</span>}(x,y)=|x-y|_{<span class="searchmatch">p</span>}} ; i.e., such that the distance between two rational <span class="searchmatch">numbers</span> is equal to the <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> absolute value...
article on: <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> order Wikipedia <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> ordinal (plural <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> ordinals) (number theory) A function of rational <span class="searchmatch">numbers</span>, with prime number <span class="searchmatch">p</span> as parameter...
rational <span class="searchmatch">numbers</span>, such that |0|<span class="searchmatch">p</span> = 0 and, for x≠0, |x|<span class="searchmatch">p</span> = <span class="searchmatch">p</span>-ordp(x), where ordp(x) is the <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> ordinal of x; the same function, extended to the <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> numbers...
<span class="searchmatch">p</span>-<span class="searchmatch">adic</span> absolute value (plural <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> absolute values) (number theory, field theory) A norm for the rational <span class="searchmatch">numbers</span>, with some prime number <span class="searchmatch">p</span> as parameter...
(<span class="searchmatch">p</span>)} -<span class="searchmatch">adic</span> topology passes to the ring of <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> <span class="searchmatch">numbers</span> under the operation of completion. -<span class="searchmatch">adic</span> (mathematics, computing) Having a specified <span class="searchmatch">adicity</span>....
set Yd of prime <span class="searchmatch">numbers</span>, such that if <span class="searchmatch">p</span> is any prime not in Yd then every homogeneous polynomial of degree d over the <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> <span class="searchmatch">numbers</span> in at least d2+1...
problem is motivated by the wish to compute tropical varieties over the <span class="searchmatch">p</span>-<span class="searchmatch">adic</span> <span class="searchmatch">numbers</span>, which are the intersection of a subfan of a Gr\"obner fan as studied...