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1 mo ago
Was he dreaming about bread, or Shino? ๐ค๐ค๐ค | |

1 mo ago
No matter how I look at it, it's Anpan! Is that another favourite food?? Will she conquer his stomach to get to his heart? Is this what you're telling me? | |

2 mo ago
@tilkku I read the pop quiz to be "translate this question into English", rather than solve it. Trick question? :P I know enough to read out all the parts, but not solve. Never did enough proofs, at some point will go back to learn them to level up my algorithm skills | |

2 mo ago
- Last edited 2 mo ago by salmazwn. | |

2 mo ago
MANSPLAINING | |

2 mo ago
You should be asking your IT for this. | |

2 mo ago
@tilkku lmao I'm pretty sure I barely passed my math analysis final but it's all good since the class is pass/fail anyways now | |

2 mo ago
Been a while since I did calculus, but here goes. (i) First prove that Ψ is an isomorphism and infinitely differentiable. Isomorphism follows by writing Ψ(x)={{1,0},{-1,1}}*x and noting that said matrix is invertible. Differentiability follows by Ψ being linear. V is given by finding the preimage Ψ ^{-1}(U), that is, the set of points x in โ^{2} for which {1,1}*Ψ(x)<u. Simple matrix multiplication!(ii) This is just a change of variables using Ψ. The earlier matrix is the Jacobian of Ψ, which you can plug into the usual formula. (iii) Apply the equation of (ii) and note that the integrand is convolution. Write h(y2)=∫ f(y1)f(y2-y1)dy1, where y1 is integrated over โ. Denote the Fourier transform of h by H and recall that the transform of (1) convolution is multiplication and (2) exp(-x^2) is sqrt(pi)*exp(-pi^2*x^2). Therefore H(x)=pi*exp(-2*pi^2*x^2), which is easily inverse transformed into h(x)=sqrt(pi/2)*exp(-x^2/2). In all, ∫f(x1)f(x2)dx = ∫∫f(y1)f(y2-y1)dy1dy2 = ∫h(y2)dy2 = sqrt(pi/2) * ∫ f(y2/2)dy2. Substituting y2 โฆ y2*sqrt(2) yields the result. | |

2 mo ago
It's morning and I haven't get a wink of sleep but then a wild math appeared, I collapsed. | |

2 mo ago
Yay bread, very cute chapter Thanks for translating! | |

2 mo ago
@Bistai Good job expanding the analogy out. | |

2 mo ago
No, not the calculus again | |

2 mo ago
Whoooolesome. | |

2 mo ago
I don't need maths at the end of a chapter, I dropped out of my Bachelors Degree for a reason. | |

2 mo ago
@redinacup you just have to translate it to english lol, how hard can it be? /s | |

2 mo ago
Thanks for the chapter but there is no way in hell in doing that math. | |

2 mo ago
This series is so cute :) | |

2 mo ago
That was a very cute, but actually kind of crappy explanation he gave. And then they got buns together, but didn't get her computer any more memory. I know, I know, the point is they were cute together--it just niggles at me. | |

2 mo ago
Thanks for the translation! Bread. Bread is love, bread is life. | |

2 mo ago
FOOD ANALOGY |