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Everything about Linear function (calculus)
Polynomial function of degree at most one
In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph is a non-vertical line in the plane. The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Linear function (calculus)A 5-minute orientation
- Skim a recent paper: Weyl Type Theorem for Bounded Linear Operator and Its Functional CalculusInfluential work since 2022
- Pick up a classic book: Problems and theorems in analysisThe most-reprinted book on the subject
- Read the landmark paper: Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theoryCited 50 times
- Go sideways: Linear equationA closely related topic
- Go sideways: Linear interpolationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory
Fq-Linear Calculus over Function Fields
A Quantum Calculus Analogue of Dynamic Leontief Production Model with Linear Objective Function
Destination Calculus: A Linear 𝜆-Calculus for Purely Functional Memory Writes
Linear Maps Preserving Function Calculus and Entropies
Stochastic functional linear models and Malliavin calculus
A quasi-linear utility function of fractional agent-based computational economic systems defined by Palm calculus
🆕 Influential since 2022
📚 Books worth reading
Problems and theorems in analysisGeorge Pólya, Gábor Szegő · 1925
Basic Analysis IIIJames K. Peterson · 2020
Traces and determinants of linear operatorsGohberg, I., Israel Gohberg · 2000
Tools for Infinite Dimensional AnalysisJeremy J. Becnel · 2020
Convolution operators and factorization of almost periodic matrix functionsAlbrecht Böttcher, Yuri I. Karlovich · 2002
Non-connected convexities and applicationsGabriela Cristescu, G. Cristescu · 2002
Equations with involutive operatorsN. K. Karapeti͡ant͡s, Nikolai Karapetiants · 2001
Fundamental Concepts In Modern AnalysisVagn Lundsgaard Hansen, Poul G. Hjorth · 1999
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Linearity In mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial…
- Polynomial interpolation In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through…
- Tangent In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at…