“Computer science is the new Latin: it underpins the digital world just as Latin did theanalogueworld, and games encapsulate all of the ways in which it marries the arts and sciences.”—The Guardian “Digital memories, he said, are very different toanalogue, photographic ones.”—The Guardi...
The objective is to prove: Today computer science is not a real science. Also prove that computer science can become a real science. Hence computers science must be transformed into real science. First we need to answer these questions: What makes a science a real science? What are the diff...
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 , ...
Theoretical Computer ScienceGoldblatt, 2001] Robert Goldblatt. What is the coalgebraic analogue of Birkhoff's variety theorem? Theoretical Computer Science, 266:853-886, 2001.What is the coalgebraic analogue of Birkhoff’s variety theorem - Goldblatt - 2001 () Citation Context ...ext. Moss [27...
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 ...
Sampling: This is like taking snapshots of a continuous signal at regular intervals to create a digital version. It’s similar to capturing moments in a video to make individual frames. Quantization: It’s like assigning digital values to the measured analogue signal. Think of it as grouping ...
modulation. modulation mechanisms can also be digital or analogue. an analogue modulation scheme has an input wave that continuously changes like a sine wave, but it is a bit more complicated when it comes to digital. the voice sample is considered at some rate and then compressed into a bit...
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 this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectator...
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 ...