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which is an eigenvalue equation. Very often, only numerical solutions to the Schrödinger equation can be found for a given physical system and its associated potential energy. However, there exists a subset of physical systems for which the form of the eigenfunctions and their associated energies, or eigenvalues, can be found.
An example of a nonlinear delay differential equation; applications in number theory, distribution of primes, and control theory [5] [6] [7] Chrystal's equation: 1 + + + = Generalization of Clairaut's equation with a singular solution [8] Clairaut's equation: 1
Its manner of articulation is tap or flap, which means it is produced with a single contraction of the muscles so that the tongue makes very brief contact. Its place of articulation is alveolar , which means it is articulated with either the tip or the blade of the tongue at the alveolar ridge , termed respectively apical and laminal .
The cutting of the Gordian Knot is a classical example. The term was first used in 1967 by Maltese psychologist Edward de Bono who used the Judgement of Solomon , the Nine Dots Puzzle , and the sewing machine (automating the work rather than adding more workers) as examples, among many others, of lateral thinking.
The term nature-based solutions was put forward by practitioners in the late 2000s. At that time it was used by international organisations such as the International Union for Conservation of Nature and the World Bank in the context of finding new solutions to mitigate and adapt to climate change effects by working with natural ecosystems rather than relying purely on engineering interventions.
In the mathematical study of partial differential equations, Lewy's example is a celebrated example, due to Hans Lewy, of a linear partial differential equation with no solutions. It shows that the analog of the Cauchy–Kovalevskaya theorem does not hold in the smooth category.
An important Internet protocol, the Border Gateway Protocol, was sketched out in 1989 by engineers on the back of "three ketchup-stained napkins", and is still known as the three-napkin protocol. [11] UTF-8, the dominant character encoding for the World Wide Web, [12] was designed by Ken Thompson and Rob Pike on a placemat. [13]
Classic examples of wicked problems include economic, environmental, and political issues. A problem whose solution requires a great number of people to change their mindsets and behavior is likely to be a wicked problem. Therefore, many standard examples of wicked problems come from the areas of public planning and policy.