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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
MATLAB (an abbreviation of "MATrix LABoratory" [18]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
For example, consider the ordinary differential equation ′ = + The Euler method for solving this equation uses the finite difference quotient (+) ′ to approximate the differential equation by first substituting it for u'(x) then applying a little algebra (multiplying both sides by h, and then adding u(x) to both sides) to get (+) + (() +).
For an arbitrary system of ODEs, a set of solutions (), …, are said to be linearly-independent if: + … + = is satisfied only for = … = =.A second-order differential equation ¨ = (,, ˙) may be converted into a system of first order linear differential equations by defining = ˙, which gives us the first-order system:
COPASI, a free (Artistic License 2.0) software package for the integration and analysis of ODEs. MATLAB, a technical computing application (MATrix LABoratory) GNU Octave, a high-level language, primarily intended for numerical computations. Scilab, an open source application for numerical computation.
In MediaWiki, templates cannot automatically handle an unknown or unlimited number of parameters. Each possible parameter usually has to be predefined in the template code. For example, a template might be set up to use three specific parameters, such as 1, 2, and 3. If someone includes additional parameters beyond those, they will not affect ...
The Mustache template does nothing but reference methods in the (input data) view. [3] All the logic, decisions, and code is contained in this view, and all the markup (ex. output XML) is contained in the template. In a model–view–presenter (MVP) context: input data is from MVP-presenter, and the Mustache template is the MVP-view.
This template indicates that there are general references in this article, but that none are currently linked with inline citations. Template parameters [Edit template data] This template prefers inline formatting of parameters. Parameter Description Type Status Month and year date Provides the month and year of the citation request; e.g., 'January 2013', but not 'jan13' Auto value {{subst ...