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Everything about Linearity
Properties of mathematical relationships
In mathematics, the term linear is used in two distinct senses for two different properties:linearity of a function ; linearity of a polynomial. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: LinearityA 5-minute orientation
- Skim a recent paper: Graded Interlocks for Iontronic Pressure Sensors with High Sensitivity and High Linearity over a Broad RangeInfluential work since 2022
- Pick up a classic book: Linear algebra and its applicationsThe most-reprinted book on the subject
- Read the landmark paper: Aggregation and Linearity in the Provision of Intertemporal IncentivesCited 2,055 times
- Go sideways: Nonlinear systemA closely related topic
- Go sideways: Linear differential equationA closely related topic
📖 Definitions
Noun The state of being linear.
Noun A relationship between several quantities which can be considered as proportional and expressed in terms of linear algebra, or any mathematical property of a relationship, operation or function that is analogous to such proportionality, satisfying additivity and homogeneity.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Aggregation and Linearity in the Provision of Intertemporal Incentives
Reliability in multi-site structural MRI studies: Effects of gradient non-linearity correction on phantom and human data
The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
Testing linearity against smooth transition autoregressive models
Epidermis Microstructure Inspired Graphene Pressure Sensor with Random Distributed Spinosum for High Sensitivity and Large Linearity
Linearity and Normalization in Simple Cells of the Macaque Primary Visual Cortex
Improvement in linearity and regulation of stiffness that results from actions of stretch reflex
Linearity of the Frank-Starling relationship in the intact heart: the concept of preload recruitable stroke work.
🆕 Influential since 2022
Graded Interlocks for Iontronic Pressure Sensors with High Sensitivity and High Linearity over a Broad Range
Multifunctional Organohydrogel with Ultralow‐Hysteresis, Ultrafast‐Response, and Whole‐Strain‐Range Linearity for Self‐Powered Sensors
High‐Performance Neuromorphic Computing Based on Ferroelectric Synapses with Excellent Conductance Linearity and Symmetry
Heatwave breaks down the linearity between sun‐induced fluorescence and gross primary production
A flexible pressure sensor with highly customizable sensitivity and linearity via positive design of microhierarchical structures with a hyperelastic model
📚 Books worth reading
Linear algebra and its applicationsDavid C. Lay, Lay · 1994
Elementary linear algebraHoward Anton, Chris Rorres · 1973
The decipherment of linear BJohn Chadwick · 1958
Linear Algebra with ApplicationsGareth Williams · 1984
CalculusStanley I. Grossman · 1977
Elementary linear algebraBernard Kolman, David R. Hill · 1970
Linear algebraRichard C. Penney · 1997
Linear algebra with applicationsOtto Bretscher · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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