An explanation for the UFO sightings was easily found.
Jonathan waved, hoping the gesture was appropriately friendly and not particularly stalkerlike.
Let us start with the definition of the direct product of two probability measures. Let P_1 and P_2 be probability measures on 𝛺₁ and 𝛺₂, respectively, and denote 𝛺₁⨯𝛺₂ by 𝛺. A probability measure P on 𝛺 with 𝔇(P)=𝔇(P_1)⨯𝔇(P_2) is called the direct product of P_1 and P_2 (written P_1⨯P_2) if P(B_1⨯B_2)=P(B_1)P(B_2) B_i∈𝔇(P_i);i=1,2. The probability space (𝛺,P) is called the direct product of (𝛺₁,P_1) and (𝛺₂,P_2), written (𝛺,P)=(𝛺₁,P_1)⨯(𝛺₂,P_2). For example, the Lebesgue measure on [0, 1]² is the direct product of that on [0, 1] and itself.
Here and there turns up a […] savage mot.
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