Everything about Equation
Mathematical formula expressing equality
In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables while an égalité does not require variables, but in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: EquationA 5-minute orientation
- Skim a recent paper: Partial Least Squares Structural Equation Modeling (PLS-SEM) in second language and education research: Guidelines using an applied exampleInfluential work since 2022
- Pick up a classic book: Differential equations and boundary value problemsThe most-reprinted book on the subject
- Read the landmark paper: Evaluating Structural Equation Models with Unobservable Variables and Measurement ErrorCited 68,233 times
- Go sideways: Linear differential equationA closely related topic
- Go sideways: Equation solvingA closely related topic
📖 Definitions
Noun The act or process of equating two or more things, or the state of those things being equal (that is, identical).
Noun An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; in mathematical problems, equations describe various essential aspects of the problem, each of which contributes to the resolution of the problem in part.
Noun A small correction to observed values to remove the effects of systematic errors in an observation.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Evaluating Structural Equation Models with Unobservable Variables and Measurement Error
Structural equation modeling in practice: A review and recommended two-step approach.
A new criterion for assessing discriminant validity in variance-based structural equation modeling
Equation of State Calculations by Fast Computing Machines
lavaan : An R Package for Structural Equation Modeling
A Closed‐form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils
A New Equation to Estimate Glomerular Filtration Rate
Evaluating Structural Equation Models with Unobservable Variables and Measurement Error
🆕 Influential since 2022
Partial Least Squares Structural Equation Modeling (PLS-SEM) in second language and education research: Guidelines using an applied example
Reporting reliability, convergent and discriminant validity with structural equation modeling: A review and best-practice recommendations
Progress in partial least squares structural equation modeling use in marketing research in the last decade
A perspective on using partial least squares structural equation modelling in data articles
Modified Scherrer equation to calculate crystal size by XRD with high accuracy, examples Fe2O3, TiO2 and V2O5
📚 Books worth reading
Differential equations and boundary value problemsC. H. Edwards, David E. Penney · 1995
Elementary differential equationsWilliam E. Boyce, Richard C. Diprima · 1969
Differential equationsJames R. Brannan, William E. Boyce · 2006
Fundamentals of differential equationsR. Kent Nagle, Kent B. Nagle · 1986
Vollständige Anleitung zur AlgebraLeonhard Euler · 1770
A treatise on differential equationsGeorge Boole · 1859
Theory of equationsH. W. Turnbull · 1939
CalculusStanley I. Grossman · 1977
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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