![]() Author has written 4 stories for Harry Potter, and Kuroshitsuji. About my works Blood Crest is the only posted story I'm currently working on. It takes a deeper look at the nature of magic in the Harry Potter universe, especially of divination and prophecy, and explores situations in which Harry is stripped of the canon protections which let him clash with stronger foes unscathed. About Me Not certain what information about me would be useful here, but here are some generic profile details. I'm an actuary. I'm asexual and agender. I enjoy theorizing about fictional worlds way too much for it to be healthy. My native language is English, I guess, or Shanghai Chinese, I speak embarrassing Mandarin Chinese and passable German, and I am learning Russian and ASL - I like understanding what people say, and I should probably learn French but I keep putting it off for some reason. My main fandom is Harry Potter, not because I particularly like the Harry Potter books, but because the entire world is full of walking archetypes and is very easy to work with. The number of holes in the original world-building also makes crossovers in general more plausible, though of course that doesn't stop people from giving very flimsy backgrounds to their stories anyway. I do respect the amount of planning and perseverance it must have taken for JKR to get the original plot to come full circle like it did, even if I dislike pretty much all the characters and the plot itself in practice. Math Corner In pointless relevance to my pen name, here are some useful results produced by and/or named after Augustin-Louis Cauchy, along with some really crappy descriptions. By no means complete. Disclaimer: I am not a mathematician, I just hobby math, and not particularly well either. Cauchy-Schwarz inequality - That really handy thing where the inner product of two variables is less than or equal to the product of their magnitudes. Cauchy (sequence) - A sequence is cauchy if the elements get closer and closer together, and only a finite number of elements are more than a certain distance from one another. Cauchy distribution - A distribution with fat tails, which has no mean or variance (I think it does have fractional moments less than 1 though). Its density function is something like 1/pi times the integral of arctangent. I do not currently know what it is useful for beyond that these are important things in physics. Cauchy principal value - A fancy name for when you try to do an undefined integral by hedging around the undefined spot with limits and changing up the limits of integration with epsilons. Cauchy-Riemann equations - Equations relating the partial derivatives of the real and imaginary parts of analytic complex functions. They are helpful. Cauchy integral theorem (aka Cauchy-Goursat theorem) - Integral of an analytic function over a closed loop in a simply connected domain is 0. Leads to awesome cool simplification of integration. Cauchy integral formula - A formula relating integration to differentiation . It is super amazing and provides great new ways of looking at old integration problems that used to be horrible. Cauchy bounds - following from the integral formula, bounds on the value of the derivative of an entire function. Cauchy's Theorem for Abelian groups - For every prime p that divides the order of a finite Abelian group G, there is an element in G with order p. Seems pretty intuitive so good thing it's true. Cauchy condensation test - A useful test for convergence that I never learned and which probably would have been good to know while I was dealing regularly with infinite series. Has something to do with checking the convergence of a "condensed" version of the series which is difficult to describe in words. Cauchy-Frobenius lemma - If G is a finite group, then the number of orbits is the average number of points fixed by an element of G. |