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Specific phobias involve irrational fear that is focused on a particular entity (e.g., dogs) or situation (e.g., driving through a tunnel).
Gnoli's paintings do not involve irrational juxtapositions of crazily different objects and sizes, and though there is humor of an oddly solemn sort in them, they do not parody styles of contemporary advertising or product design.
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This expression gives the exact solution of the Fibonacci sequence without involving irrational numbers; the solution includes only certain combinations of natural numbers.
Euler himself once conjectured that (zeta (2n+1)=c(n pi ^{2n+1}) and (c) involve the irrational constant (eta (1) = ln 2) [8].
Avoidance behaviors may involve an irrational element.
Interpersonal interactions also involve apparently irrational, affectively charged beliefs and the related negative affect is neurally and subjectively related to pain (Eisenberger, 2012).
With respect to the second way of conceptualizing knowledge generation, many philosophers argue in a similar fashion that because the process of discovery involves an irrational, intuitive process, which cannot be examined logically, a logic of discovery cannot be construed.
Their fears are rational and irrational; they involve airplanes and anthrax and smallpox and bombs in shopping bags -- whatever.
The absolute best k-digit rational approximation is most desired for error-free computation involving π/any other irrational number.
The absolute error computed provides the overall error bounds in an error-free computational environment involving π/any other irrational number.
If one accepts the common assumption that causing oneself to reason or choose in a way that does not accord with one's preferences involves rendering oneself irrational, the former strategy can be thought of as aiming at rationally-induced irrationality.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com