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Uncommon card · Science
Cauchy–Riemann equations, an Uncommon card
In mathematics, the Cauchy–Riemann equations are two partial differential equations that characterize differentiability of complex functions.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 71
- DEF
- 50
- Power
- 121
- Wikipedia reads a year
- 58,000
Power 121 (ATK + DEF): stronger than 60 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- The equations are and where u and v are real bivariate differentiable functions.
- Typically, u and v are the real and imaginary parts, respectively, of a complex-valued function f = f = u + i v of a complex variable z = x + iy.
- If f is complex-differentiable at a complex point z = x + iy, then the partial derivatives of u and v exist and satisfy the Cauchy–Riemann equations at that point.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Cauchy–Riemann equations article was read about 58,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 71 and blocks with 50: each hit it takes is cut by 20 %.
How to get Cauchy–Riemann equations
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Credits
Text : Wikipedia, Cauchy–Riemann equations (revision), CC BY-SA 4.0. Photo : Keenan Crane, CC BY-SA 4.0, Wikimedia Commons.