An interval, or distance between two pitches, can thus be mathematically described as…
Vectors, on the other hand, are built from mathematically defined shapes like lines and curves.
Kant distinguishes two notions of the sublime: the mathematically sublime and the dynamically sublime.
“Mathematically, it’s certainly possible to have herd immunity at these very, very low levels,” said Carl Bergstrom, an infectious disease expert at the University of Washington in Seattle.
"It's mathematically impossible for household wealth to continuously outstrip disposable income," he said.
Two models that are mathematically equivalent may be semantically different, that is, they have different interpretations.
Several philosophers and mathematicians have tried to develop the theory of the Creating Subject further mathematically as well as philosophically.
There are some reasons to be suspicious of the Martin-Löf-Chaitin Thesis, despite the mathematically elegant convergence between these two mathematical notions.
Computation may be studied mathematically by formally defining computational objects, such as algorithms and Turing machines, and proving theorems about their properties.
Of course can one add mathematically precise definitions of instability and aperiodicity, but this precision may not actually lead to useful improvements in the definition (see below).
“Forrest Gump” was the improbable tale of a slow-witted but mathematically gifted man who was a participant or witness to key points of 20th century history — from Alabama segregationist Gov.
Because it will be mathematically impossible to moderate encrypted communications, the firm will have an excuse to take less responsibility for content running through its apps, limiting its moderation costs.
The two toys models presented above have the virtue of being mathematically tractable, but they involve certain simplifications and potential problems that lead to trouble if one tries to make them more complicated.
Hence his claim that the appropriate way to support a statement that pairs systematic methods with items falling under a mathematically precise description is to offer ‘propaganda’, rather than to attempt to prove it.
In addition to analyzing the notion of effective computability itself, the mathematical goal of both Turing (1937) and Church (1936a,b) was to provide a mathematically precise negative answer to the Entscheidungsproblem.
A grand coalition with the conservative Partido Popular is mathematically possible but politically extremely unlikely, while the right-wing parties – Citizens, PP and the far-right Vox – do not have enough seats between them as a bloc to form a government.
Part of it is mathematically determining whether one’s cards are favorable, but a player using optimal strategy also builds into his play bets that sometimes appear improbable and make it mathematically difficult for the opponent to know what to do.
Philosophers have taken a variety of approaches to characterizing drift and distinguishing it from natural selection, including a causal process approach that derives from the history just presented, approaches that are mathematically derived, and other sorts of approaches.
Moreover, whereas Tarski semantics is usually presented meta-mathematically, and assumes set theory, Martin-Löf’s meaning theory of intuitionistic type theory should be understood directly and “pre-mathematically”, that is, without assuming a meta-language such as set theory.
Later, these ideas were experimented with by artists like Terry Riley, whose 1964 LP ‘In C’, a foundation piece of minimalist composition, utilised shared traits between space and repetition to create polyrhythmic structures that ebb and flow at seemingly random but mathematically precise moments.
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