DEI 发表于 2025-3-23 10:49:20
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Infinite series,nverse .-trigonometric functions are defined by integrals, we can use methods such as Simpson’s rule to obtain good estimates. For other applications, and for the .-trigonometric functions, it would be good to find representative infinite series.无价值 发表于 2025-3-23 20:05:52
Series and rational approximations,the previous chapter, or through finding “nice” fractions (that is, fractions with relatively small denominators, like . or .). We will expand this approach to all ., .. We will also investigate a series for Catalan’s constant ..POINT 发表于 2025-3-23 23:47:37
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Exponentials and logarithms,the most remarkable formula in mathematics.” ) The generalized trigonometric and hyperbolic functions we have explored thus far lead to generalizations of the exponential and logarithmic functions as well. We engage here in a short exploration of these transcendental functions.圆桶 发表于 2025-3-24 07:44:41
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Duality,trics. We begin with a formal definition and geometric construction of duality that wil bring us back to our squigonometric functions, along with a promised proof that . and a geometric examination of Hölder’s inequality in the plane.Gourmet 发表于 2025-3-24 20:23:11
A squigonometry introduction,egers and .. (He charmingly refers to trigonometric functions as “goniometric functions.” He calls solutions of the above differential equation “hypergoniometric functions,” since the functions are generalizations of either trigonometric or hyperbolic functions.Airtight 发表于 2025-3-25 01:19:14
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