BETA
Examples ofvector calculus
Dictionary> Examples ofvector calculus
vector calculusisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
The book assumes a certain level of knowledge of physics andvectorcalculus, but most of the key mathematical concepts required in the text are summarized in an appendix.
From theCambridge English Corpus
A well-knownvectorcalculusidentity states that the curl of the gradient of any function is 0.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This textbook usedvectorcalculussystematically to solve problems of celestial mechanics.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This is not customarily considered invectorcalculusor in physics.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The other symbols in these equations refer to the divergence and curl, which are concepts fromvectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This is used implicitly invectorcalculus, for example to create the cross product vector from the wedge product of two vectors.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In this case the content is just that of the cross product of traditionalvectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These structures give rise to a volume form, and also the cross product, which is used pervasively invectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.There are two important alternative generalizations ofvectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Fields that are now often introduced with coordinate-free treatments includevectorcalculus, tensors, and differential geometry.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The subject covers concepts including conic sections, complex numbers, differential equations, kinematics,vectorcalculusand mechanics.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.It might also be noted that in this way of thinking, there is no divergence, gradient, curl, orvectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.He was also largely responsible for the development of thevectorcalculustechniques still used today in electrodynamics and fluid mechanics.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The term position vector is used mostly in the fields of differential geometry, mechanics and occasionally invectorcalculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The secondvectorcalculusidentity above states that the divergence of the curl of a vector field is zero.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Invectorcalculus, the identity for the divergence of a curl states that a vector field's curl divergence must always be zero.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The third chapter introduces thevectorcalculusnotation based on the del operator.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Vectorcalculusplays an important role in differential geometry and in the study of partial differential equations.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
- severe winter
- severing
- severity
- severity of damage
- severity of damage
- severity of punishment
- severity of sentence
- severity of sentence
- sew
- sewage
- sewage disposal
- sewage-disposal
- sewage facilities
- sewage sludge
- sewage-sludge
- sewage system
- sewage-system
- sewage treatment
- sewage-treatment
- sewage treatment plant
- sewage-treatment-plant
- sewage works
- sewage-works
- sewer
- sewerage