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Τι (ποιος) είναι ultrametric inequality - ορισμός
A TYPE OF METRIC SPACE IN WHICH THE TRIANGLE INEQUALITY IS REPLACED BY A STRONGER INEQUALITY USING MAX IN PLACE OF ADDITION
Ultrametric; Ultrametric inequality; Ultrametric triangle inequality; Non-Archimedean metric; Krull Sharpening; Ultrametricity; Strong triangle inequality; Ultrapseudometric; Ultrapseudometric space
Ultrametric space
In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to d(x,z)\leq\max\left\{d(x,y),d(y,z)\right\}. Sometimes the associated metric is also called a non-Archimedean metric or super-metric.
Poincaré inequality
Poincare inequality; Poincaré's inequality; Poincare's inequality; Poincaré constant; Poincare constant; Poincaré–Wirtinger inequality; Poincaré-Wirtinger inequality; Poincare-Wirtinger inequality
In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of its domain of definition.
Grönwall's inequality
THEOREM THAT GIVES BOUNDS ON INTEGRALS OF FUNCTIONS
Gronwall's lemma; Grönwall's lemma; Gronwall inequality; Gronwall lemma; Grönwall inequality; Grönwall lemma; Bellman-Gronwall inequality; Bellman-gronwall inequality; Groenwall's inequality; Groenwall inequality; Groenwall lemma; Groenwall's lemma; Gronwall–Bellman inequality; Gronwall's inequality; Gronwall-Bellman inequality
In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a differential form and an integral form.
Βικιπαίδεια
Ultrametric space
In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to . Sometimes the associated metric is also called a non-Archimedean metric or super-metric. Although some of the theorems for ultrametric spaces may seem strange at a first glance, they appear naturally in many applications.
