The above theorem then follows from an entropic analogue: Theorem 2 (Entropic Marton’s conjecture) Let be a -valued random variable with . Then there exists a uniform random variable on a subgroup of such that for some absolute constant . We were able to establish Theorem 2 with , ...
However, this weaker result already suffices for many applications, and does not need any result as deep as the mean value theorem. Proof: To simplify notation we allow implied constants to depend on . As before, we may assume that for some small constant depending only on . We may also...
1. PCM-encoded audio.The grey boxes represent samples, amplitude measurements taken at regular intervals of time. The captured or reconstructed analogue signal is depicted by the red line that runs through the first point of the grey box (ie. the point in time at which the sample begins). ...
Most studies do not produce their intended outcomes on time or within budget. However, it is challenging to identify the facilitators and barriers to successful study management when the “behind the scenes action” of especially digitally enabled health
In the 1990s, advances in digital editing and computer software meant videographers could download videos onto computers. This allowed huge freedom to create effects, collages and edits unthinkable in the analogue era. Fast-forward a few decades and you’ll find video artists turned film directors...
In the meantime, in the more philosophical and epistemological literature, it has become clear that 'computer simulation' does not have one stable meaning but covers a number of different un- derstandings resulting in a set of different philosophical assumptions on their supposed epistemological ...
20 Notation Question: What does ⊢⊢ mean in logic? 4 Discrete Math Power Set? 1 Does this proof that χ(Q2)=2χ(Q2)=2 rely on choice? 0 How to compute an adjacency matrix? 0 Discrete Math - Equivalence Classes of a set containing all real numbers 1 Question on quotient set....
(or the human analogue of hMT+) is the central region responsible for the phenomena of motion priming, due to altered response characteristics of motion-selective neurons in MT/V5 (or the human analogue of hMT+) (Ashida et al., 2007, Brascamp et al., 2010, Campana et al., 2002, ...
Dwork’s argument relies primarily on -adic analysis –an analogue of complex analysis, but over an algebraically complete (and metrically complete) extension of the -adic field , rather than over the Archimedean complex numbers . The argument is quite effective, and in particular gives explicit ...
This was the basic method for instance underlying our previous bound , as well as a finite field analogue of the bound ; however we encountered significant technical difficulties for several years in extending this argument to obtain the result of the current paper. Our method is instead based ...