Examples of 'differential forms' in a sentence
Meaning of "differential forms"
Differential forms are mathematical objects used in multivariable calculus and differential geometry to study the behavior of functions and vector fields on curved surfaces. They are formal expressions that can be integrated over a manifold to compute quantities such as area, volume, and flux. Differential forms provide a powerful framework for expressing and manipulating mathematical concepts in a coordinate-independent manner
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- plural of differential form
How to use "differential forms" in a sentence
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differential forms
Differential forms are used in the study of electromagnetism.
Rational homotopy theory and differential forms.
Differential forms are organized by degree.
Special cases of these are determinant forms and differential forms.
This differential forms a recess made above the edge.
The cup product corresponds to the product of differential forms.
Differential forms play a major role in diverse areas of differential geometry.
A particularly important class of tensor fields is the class of differential forms.
This differential forms a recess made above the reinforcement element.
This interpretation can equivalently be restated in the language of differential forms.
Differential forms provide a framework which accommodates multiplication and differentiation of differentials.
It is a cohomology theory based on the existence of differential forms with prescribed properties.
The pullback of differential forms has two properties which make it extremely useful.
These are naturally expressed in the language of exterior calculus and differential forms.
A differential forms based multiphysics FE framework is first established.
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With the rise of differential geometry the exterior algebra was applied to differential forms.
Differential forms in algebraic topology Corr.
The Dolbeault operator on complex differential forms.
The modern notion of differential forms was pioneered by Élie Cartan.
The Lie derivative also has important properties when acting on differential forms.
The differential forms on a Poisson manifold form a Gerstenhaber algebra.
The general Stokes theorem applies to higher differential forms ω instead of F.
Integration of differential forms is well-defined only on oriented manifolds.
They introduce the signature operator S defined on differential forms of degree two.
The integral and differential forms are mathematically equivalent, by the divergence theorem.
It's easier to demonstrate the idea in terms of differential forms.
Thus, both operations generate differential forms of higher degree from those of lower degree.
Further, there is a pairing between vector fields and differential forms.
Contravariant objects such as differential forms restrict to submanifolds, giving a mapping in the other direction.
Provides a treatment of Maxwell 's equations in terms of differential forms.
Differential forms provide a mathematically rigorous and precise framework to modernize this long-standing idea.
We propose then a discretization of the differential forms by using B-splines.
Differential forms in R2 and R3 were well known in the mathematical physics of the nineteenth century.
An important case of vector-valued differential forms are Lie algebra-valued forms.
The symbol ∧ denotes the exterior product, sometimes called the wedge product, of two differential forms.
Coming from differential geometry, Pfaff 's differential forms were always of special concern to him.
Differential forms provide a unified approach to define integrands over curves, surfaces, volumes, and higher-dimensional manifolds.
Its cohomology is the de Rham cohomology of the complex of differential forms on G {\displaystyle G.
A fundamental operation defined on differential forms is the exterior product ( the symbol is the wedge ∧ ).
Manifolds, tensor bundles, vector fields, and differential forms.
Category, Differential forms.
Closed & exact differential forms.
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