Search results
Results from the WOW.Com Content Network
The bandwagon effect is a psychological phenomenon where people adopt certain behaviors, styles, or attitudes simply because others are doing so. [1] More specifically, it is a cognitive bias by which public opinion or behaviours can alter due to particular actions and beliefs rallying amongst the public. [ 2 ]
Because the algebraic numbers form a subfield of the real numbers, many irrational real numbers can be constructed by combining transcendental and algebraic numbers. For example, 3 π + 2, π + √ 2 and e √ 3 are irrational (and even transcendental).
In some cases only a small number of social bots can easily direct public opinion on social media and trigger a spiral of silence model. [34] For example, scholars find out that social bots can affect political discussion around the 2016 U.S. presidential election [35] and the 2017 French presidential election. [36]
In mathematics, an irrational number is any real number that is not a rational number, i.e., one that cannot be written as a fraction a / b with a and b integers and b not zero. This is also known as being incommensurable, or without common measure. The irrational numbers are precisely those numbers whose expansion in any given base (decimal ...
Bandwagon effect, "copycat" behavior Argumentum ad populum, or the bandwagon fallacy: "If many believe so, it is so" Bandwagon fan, a person who likes a sport team just because of their recent success; Bandwagoning, a term in international relations
Irrationality is cognition, thinking, talking, or acting without rationality.. Irrationality often has a negative connotation, as thinking and actions that are less useful or more illogical than other more rational alternatives.
Rational numbers have irrationality exponent 1, while (as a consequence of Dirichlet's approximation theorem) every irrational number has irrationality exponent at least 2. On the other hand, an application of Borel-Cantelli lemma shows that almost all numbers, including all algebraic irrational numbers , have an irrationality exponent exactly ...
In his Essai sur la théorie des nombres (1798), Adrien-Marie Legendre derives a necessary and sufficient condition for a rational number to be a convergent of the simple continued fraction of a given real number. [4] A consequence of this criterion, often called Legendre's theorem within the study of continued fractions, is as follows: [5 ...