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Everything about Linear equation
Equation that does not involve powers or products of variables
In mathematics, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients are required to not all be zero. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Linear equationA 5-minute orientation
- Skim a recent paper: Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network methodInfluential work since 2022
- Pick up a classic book: CalculusThe most-reprinted book on the subject
- Read the landmark paper: Quantum linear Boltzmann equationCited 120 times
- Go sideways: Distance from a point to a lineA closely related topic
- Go sideways: Linear function (calculus)A closely related topic
📖 Definitions
Noun A polynomial equation of the first degree (such as x = 2y - 7)
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Quantum linear Boltzmann equation
Linear relativistic gyrokinetic equation
On a linear iterative equation
Fuzzy linear matrix equation
Dirac equation for a linear potential
The non-linear MSW equation
The non-linear renewal equation
Linear-Equation Ordered-Statistics Decoding
🆕 Influential since 2022
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers
Linear transformations of the Butler–Volmer equation
Linear mode analysis from spin transport equation
Linear superposition in the general heavenly equation
📚 Books worth reading
CalculusStanley I. Grossman · 1977
Differential equations & linear algebraC. H. Edwards, Henry Edwards · 2000
Theory of differential equationsAndrew Russell Forsyth · 1890
Differential equationsC. H. Edwards, David E. Penney · 1995
Differential equations, dynamical systems, and an introduction to chaosMorris W. Hirsch, Morris W. Hirsch · 2003
Multivariable calculus, linear algebra and differential equationsStanley I. Grossman · 1986
A course in ordinary differential equationsRandall J. Swift, Stephen A. Wirkus · 2006
Lineĭnye different︠s︡ialʹnye operatoryM. A. Naĭmark · 1954
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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