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 ?
Key words and phrases : boundary representations, ergodic theorems, irreducibility, equidis-tribution, free groups.
Part (b) follows from the weak irreducibility of Q.
While open reduction of this injury was the obvious management given the irreducibility of the patella, what is peculiar about this case and important to consider when treating these injuries is that block to reduction may not be obvious on initial imaging or exam, and a high index of suspicion to proceed with open reduction or early advanced imaging may limit aggressive attempts at closed reduction and further injury.
Moreover, this irreducibility to "the space and time of modernity" opens up the indigenous subject's link to the deeper time of ecology and geology (an idea that might be offensive if it didn't come from Silko herself).
I then in a different way proved the irreducibility criteria for variants of the above type of polynomials in my research thesis of Ph .
The relational but irreducible identity of the person is the best analogue we have for the irreducibility of the artwork, including the icon.
The famous stream-of-consciousness carries not only psychological meaning, but more importantly: it expresses the irreducibility of the single consciousness in the face of world thought as whole:
The future of materialism depends on its both offering a thorough physical explanation of consciousness and recognizing the irreducibility of consciousness and its activities.
A Reinterpretation of Aristotle's Generation of Animals V" (co-authored with Mariska Leunissen), present close readings of passages from Generation of Animals, which offers an account of conception and gestation that has sometimes been thought to support interpretations incompatible with the "strong irreducibility" that Gotthelf advocates.
We invite readers to explore theoretical concepts such as emergence, holism, mutual causality, indeterminism, polarity thinking, irreducibility, quantum physics logic (nonlinear dynamics and novelty), heterarchy, and the butterfly effect, all of which suggest ways of thinking that can offer creative solutions to some of our most challenging problems.
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).