Abstract—The existence of a unique Augustin mean and its invariance under the Augustin operator are established for arbitrary input distributions with finite Augustin information for channels with countably generated output σ-algebras.
The existence of a unique Augustin mean and its invariance under the Augustin operator are established for arbitrary input distributions.
Sep 1, 2021 · A new family of operators is proposed to establish the invariance of the Augustin mean under the Augustin operator for orders greater than one.
Oct 17, 2021 · A new family of operators is proposed to establish the invariance of the Augustin mean under the Augustin operator for orders greater than one.
Jun 18, 2015 · It means: "The only thing I can be sure of is the existence of my own thoughts, because when I doubt others, I cannot doubt my own thoughts ...
The minimizer in (1) is called an Augustin mean; its exis- tence and uniqueness is established for input distributions with a finite support set on arbitrary ...
Aug 22, 2024 · The existence of a unique Augustin mean and its invariance under the Augustin operator are established for arbitrary input distributions with ...
Augustine's Argument from Truth : r/DebateAnAtheist - Reddit
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Oct 21, 2018 · Does this mean god exists? The transcendent grounding for truth would need to be immaterial to explain moral, logical and mathematical truths.
Augustinianism is the philosophical and theological system of Augustine of Hippo and its subsequent development by other thinkers.
Mar 21, 2018 · For any channel, the existence of a unique Augustin mean is established for any positive order and probability mass function on the input set.