Sentence examples for include irrational from inspiring English sources
It thus became necessary, early in the history of mathematics, to extend the concept of number to include irrational numbers.
In De proportionibus proportionum ("On Ratios of Ratios") Oresme first examined raising rational numbers to rational powers before extending his work to include irrational powers.
Other similarities include irrational and unfounded fear of contracting the pathogen through mechanisms that have not been scientifically indicated, stigmatization of people who associate with those living with the diseases in question (13, 33, 42, 43) and the perception that both diseases are the result of propaganda for population control (44, 45).
Thus, the door of the ivory tower opened, at first only slightly, to theories that included irrational behaviour.
This was the heart of the film's easygoing but intricately modernistic reflexivity — a crucial trace of which gleams throughout all of Allen's work, including "Irrational Man".
Of course, stock markets and economies are for many reasons (including irrational optimism and fiscal policy) imperfectly linked, but what's happening now is new.
In the past, researchers have identified different causes for this lag in technology adoption, including irrational behavior, scale economies, risk aversion, credit constraints, and lack of knowledge about the best way to adopt a technology.
We also calculate the values of topological free entropy dimensions of any families of self-adjoint generators of some unital C∗ algebras, including irrational rotation C∗ algebra, UHF algebra, and minimal tensor product of two reduced C∗ algebras of free groups.
47 Second, the individualized assessment of barriers goes beyond rational decision-making to elicit the beliefs and concerns, including irrational ideas, that may be underlying the reluctance to seek mental health treatment.
Side effects include dizziness, irrational hatred of liberals and erratic knee jerks.
Just one of a number of terms including emotional, irrational and shrill, all essentially meaning the same thing: "crazy lady" or one who may or may not be on her period.
