EDIT: and here is a lesson on fractions, expressed through the medium of a burger chain advertisement: I’d be interested to know what further examples of this type are out there. SECOND EDIT: The following two examples from Wired magazine are slightly more conventional in nature, but still...
In particular, if there is a finite measure on for which are all measurable, we have Using the Möbius function on the poset , one can write these formulae as and Proof: It suffices to establish (2) (to derive (3) from (2) observe that all the are contained in one of the...
Is Sigma_{x = 1}^infinity {ln x} / {fifth root of x} converging or diverging? What is rough set theory? What is a power poset? What is compactness in real analysis? The correlation between x and y is 0.35. If we double x and decrease y by 0.2 and interchange the variables, Wha...
is to map them to the obvious constant natural transformations given by the components ΔfU:=fΔfU:=f for each open set UU of TT. Exhibit a chain of adjoint functors Λ⊣Π⊣Δ⊣Γ⊣∇Λ⊣Π⊣Δ⊣Γ⊣∇.So far in the course, he has not taught us about the other ...
POSDCRB POSDEV POSDR POSDW POSE POSE/UAW POSECS POSEIDON POSET POSF POSG POSGCD POSGH POSH POSH/T POSHO POSI POSIC POSIC-DFE POSIM POSIP POSIS POSIT POSIX POSK POSKY POSL POSLC POSM POSMAC POSMC POSMS POSN POSNA POSNAV ▼
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One can try to chain this together as before to create a long string where the Möbius function is constant, but this cannot work for any larger than three, because the Möbius function vanishes at every multiple of four. The constraints we assume on the Möbius function can be depicted...