irreducible

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irreducible

Maths
a. (of a polynomial) unable to be factorized into polynomials of lower degree, as (x2 + 1) FORMULA
b. (of a radical) incapable of being reduced to a rational expression, as &#221A(x + 1)
References in periodicals archive ?
Breu praises a character in Almanac of the Dead for his ability to understand "the heterogeneity of the material world and its irreducibility to identity," contending that this character "points us toward a different understanding of the relationship between the human and the nonhuman and the constructed and the material" (179).
According to the value of irreducibility, human experience should be regarded as occupying its own, independent realm that can be fully appreciated only when it is prized as a complete, holistic phenomenon in its own right.
I then in a different way proved the irreducibility criteria for variants of the above type of polynomials in my research thesis of Ph .
Still Ulysses appears to depict the struggle of the abysmal irreducibility of consciousness with the non-transparent world without end:
For example, Gotthelf suggests that his own irreducibility thesis is the key to understanding the metaphysical thesis of the unity of substantial form.
18) Chalmers argues for the irreducibility of consciousness to the brain while maintaining that consciousness is a functional system.
And then there seems to be the utter irreducibility of these new forms of hatred--equally resistant to human progress--whereby one manifestation lays down its marker, only to be picked up on a conceptual and programmatic level years--even centuries--later, with new tools of implementation.
Like a discrete species or chemical element, each play has survived a rigorous and repeating process to confirm its existence and irreducibility (see Figure 2).
Focusing on the enacting of the other as a core strategy in the performances of Piper, Antin, Smith, and Lee, the author is right to insist on the irreducibility of the artist body to a mere vehicle in the discursive formation of artistic identity.
This irreducibility of the crime and the criminal to a few explicative models or categories of "normality"/"abnormality" is the expression of the polymorphism of the human behavior, of the ambivalence and ambiguity of the determinism of his personality.
THE FUTURIST: One of the key themes of A New Kind of Science, and also a key theme in your TED talk, is this notion of irreducibility.
Among these we encounter: a highly decentralized structure, irreducibility (the neglect of a single element making the attempt to understand the behaviour of the whole system impossible) and unpredictability (caused by non-linear events, the society being seen as a perpetuum mobile in which the interactions between individuals determine positive and negative feed-backs which reshape the economic game and constantly generate new opportunities).