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What (who) is Peano curve - definition
A PARTICULAR EXAMPLE OF A SPACE-FILLING CURVE, DISCOVERED BY GIUSEPPE PEANO
Peano's curves; Peano curves; Peano Curve; Peano Space-Filling Curve; Peano's Space Filling Curve; Peano's curve; Murray polygon; The Murray Polygon; Murray Polygon; Peano polygon; Murray curve
![Peano curve with the middle line erased creates a [[Sierpinski carpet]]](https://commons.wikimedia.org/wiki/Special:FilePath/Peano Sierpinski carpet 4.svg?width=200 "Peano curve with the middle line erased creates a [[Sierpinski carpet]]")
Peano axioms
AXIOMATIC SYSTEM FOR THE NATURAL NUMBERS
Peano postulates; Peanos axioms; Peano arithmetic; Peano Axioms; Peano's axioms; First order arithmetic; Arithmetic formula; Peano Arithmetic; Peano Postulate; Peano axiom; Peano numbers; Peano's postulates; Dedekind–Peano axioms; Dedekind-Peano axioms; Overspill (arithmetic); Consistency of the Peano axioms
In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of whether number theory is consistent and complete.
Peano arithmetic
AXIOMATIC SYSTEM FOR THE NATURAL NUMBERS
Peano postulates; Peanos axioms; Peano arithmetic; Peano Axioms; Peano's axioms; First order arithmetic; Arithmetic formula; Peano Arithmetic; Peano Postulate; Peano axiom; Peano numbers; Peano's postulates; Dedekind–Peano axioms; Dedekind-Peano axioms; Overspill (arithmetic); Consistency of the Peano axioms
<mathematics> A system for representing natural numbers
inductively using only two symbols, "0" (zero) and "S"
(successor).
This could be expressed as a recursive data type with the
following Haskell definition:
data Peano = Zero | Succ Peano
The number three, usually written "SSS0", would be Succ (Succ
(Succ Zero)). Addition of Peano numbers can be expressed as a
simple syntactic transformation:
plus Zero n = n
plus (Succ m) n = Succ (plus m n)
(1995-03-28)
Epidemic curve
A STATISTICAL CHART USED IN EPIDEMIOLOGY TO VISUALISE THE ONSET OF A DISEASE OUTBREAK.
Epi curve; Epidemiological curve
An epidemic curve, also known as an epi curve or epidemiological curve, is a statistical chart used in epidemiology to visualise the onset of a disease outbreak. It can help with the identification of the mode of transmission of the disease.
Wikipedia
Peano curve
In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous function from the unit interval onto the unit square, however it is not injective. Peano was motivated by an earlier result of Georg Cantor that these two sets have the same cardinality. Because of this example, some authors use the phrase "Peano curve" to refer more generally to any space-filling curve.
