WikiCards · Card list · Science cards · Stability theory
Uncommon card · Science
Stability theory, an Uncommon card
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 63
- DEF
- 32
- Power
- 95
- Wikipedia reads a year
- 36,000
Power 95 (ATK + DEF): stronger than 35 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle.
- In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance.
- In dynamical systems, an orbit is called Lyapunov stable if the forward orbit of any point is in a small enough neighborhood or it stays in a small neighborhood.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Stability theory article was read about 36,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 63 and blocks with 32: each hit it takes is cut by 13 %.
How to get Stability theory
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- Léon FoucaultUncommon · Science · ATK 60 DEF 35
- Festa JuninaUncommon · History · ATK 56 DEF 39
- Ernő GerőUncommon · History · ATK 64 DEF 31
- HarpastumUncommon · Society · ATK 57 DEF 38
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Credits
Text : Wikipedia, Stability theory (revision), CC BY-SA 4.0. Photo : Freesodas, CC BY-SA 4.0, Wikimedia Commons.
