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• This mixture was then operated upon algorithmically using biochemical techniques to winnow out the 'incorrect' strands, leaving behind only those strands that 'satisfied' the problem.
• "Generative art" often refers to algorithmic art (algorithmically determined computer generated artwork) and synthetic media (general term for any algorithmically generated media), but artists can also make generative art using systems of chemistry, biology, mechanics and robotics, smart materials, manual randomization, mathematics, data mapping, symmetry, and tiling.
• This works, fundamentally, by discarding the higher half of the frequency range and algorithmically replicating that information while decoding.
• In addition, other methods to calculate writhe can be fully described mathematically and algorithmically, some of them outperform method above (which has quadratic computational complexity, by having linear complexity).
• It is known that the full classification of 3-manifolds can be done algorithmically, in fact, it is known that deciding whether two closed, oriented 3-manifolds given by triangulations (simplicial complexes) are equivalent (homeomorphic) is elementary recursive.
• The Streebog hash function S-box was claimed to be generated randomly, but was reverse-engineered and proven to be generated algorithmically with some "puzzling" weaknesses.
• It was one of those updates that LinkedIn regularly sends its users, algorithmically assembled missives about their connections' appearances in the media.
• In mathematics, the unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot, e.
• When the model is presented with a novel situation (in the form of an outcome-less feature vector), the engine algorithmically sorts the dataset to find exemplars that helpfully resemble it, and selects one, whose outcome is the model's prediction.
• As Carlee Gomes writes,

  We’re left with a landscape wherein films that are algorithmically deemed to have a higher chance of success are given more resources and marketing budgets, while riskier projects, projects that might appeal to a smaller number of people rather than the entirety of the four quadrants, are often ignored or underfunded, or go directly to streaming, or become serialized in some way.

• Hypervideo is challenging, compared to hyperlinked text, due to the unique difficulty video presents in node segmentation; that is, separating a video into algorithmically identifiable, linkable content.
• A real number may be either computable or uncomputable; either algorithmically random or not; and either arithmetically random or not.
• Generation of the ancestral sequences and parsimony scoring is still computed using a variation of the Fitch–Margoliash method, but Phylo abstracts the genetic sequences obtained from the UCSC Genome Browser into a pattern-matching game, allowing human players to suggest the most likely alignment rather than algorithmically considering all possible trees.
• In principle, an attacker could not algorithmically determine the decryption key (the reverse rule) from a given encryption key (forward rule) because of the undecidability of testing reversibility, so the forward rule could be made public without compromising the security of the system.
• Recent advancements in CAD/CAM technology has also allowed teeth to be scanned and recreated as digital models, which may then be used to identify index teeth or even algorithmically recreate the patient's bite to a similar accuracy as hand articulation, which may be useful for crown and bridgework.
• However, after enough reiterations, even imagery initially devoid of the sought features will be adjusted enough that a form of pareidolia results, by which psychedelic and surreal images are generated algorithmically.
• ' Eleven years after the album was recorded—as the 2020s have brought bitter divisiveness, blatant racism, battles over history and a digital hellscape of hyped consumption and algorithmically boosted lies—Prince doesn't sound pessimistic, just matter-of-fact.
• Vinogradov Prize for a series of papers on the problem of algorithmically recognizing the solvability of arbitrary equations in free groups and semigroups.

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