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The individual terms diverge at <math>\epsilon \rightarrow 0</math> but the sum does not. {{lectures}} ...

The first two terms above are to satisfy the boundary conditions while the third terms gives us continuity. ...

combination of <math>\phi_0</math> and <math>\phi_1</math> plus a terms which has the form of <math>\psi</math>: {{lectures}} ...

..."outliers" are defined. It is probably better to consider distributions in terms of the shape of the histogram and skewness and kurtosis, and whether these * Lectures ...

...er|Otto Forster]]: ''Riemann surfaces'', Springer 1977; English edition: ''Lectures on Riemann surfaces'', Graduate Texts in Mathematics, Springer-Verlag, 1991 The terms chain and cycle are special cases of [[w:en:Mathematical object|Mathematica ...

One can express the definition of an <math>\Omega</math>--spectrum in terms of a sequence of CW M. F. Atiyah, ""K-theory: lectures.'' '', Benjamin (1967). ...

One can express the definition of an <math>\Omega</math>--spectrum in terms of a sequence of CW M. F. Atiyah, ""K-theory: lectures.'' '', Benjamin (1967). ...

In astrophysics some regions have science-specific terms such as galactic clusters. [[Category:Abstractions/Lectures]] ...

"In [[Draft:Keynote lectures/Radiation|radiation]] theory, the total number of light quanta is not const ...actions is not maximal, because of mixing effects that can be expressed in terms of the 'weak mixing angle', θ_W. And because the Z boson, like th ...

'''The content of these notes is based on the lectures by [http://www.math.utah.edu/~milton/ Prof. Graeme W. Milton] (University o can be expressed in terms of a ''' propagator matrix''' <math>\overline{\mathbf{P}}</math> such that ...

...ly in [[radiation astronomy]], is often a quantity chosen as a standard in terms of which quantities may be expressed. ...0.857 × 10¹² km, or about 206,000 aus, and is itself defined in terms of the au – as the distance at which one Astronomical Unit subtends an angl ...

'''The content of these notes is based on the lectures by [http://www.math.utah.edu/~milton/ Prof. Graeme W. Milton] (University o Using (23) we can express (24) in terms ...

...uantum field theories] are usually described as algebraic formulations (in terms of an algebraic system and/or physical-axiomatic frameworks) of quantum fie ...d this axiomatic approach), which represents ''local'' quantum physics in terms of unital <math>C^*</math>-algebras. ...

...87. "Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures". ...lly, the Axioms of Physics, oftentimes called "Postulates", are defined in terms of physical concepts that may also relate to measurements and may include b ...

...g y: "Feynman, R. P., Leighton, R. B., & Sands, M. L. (1963). "The Feynman lectures on physics". Reading, Mass: Addison-Wesley Pub. Co." http://www.feynmanlect ===Expressing the circular polarized states in terms of linear polarization unit vectors=== ...

...phantom''' is an observational phenomenon that can be described in general terms of distances and times. In strict physical terms, these quantities are: ...

An explicit formula for '''v'''_⊥ in terms of '''v''' and ''θ'' is: [[Category:Astrophysics/Lectures]] ...

'''The content of these notes is based on the lectures by [http://www.math.utah.edu/~milton/ Prof. Graeme W. Milton] (University o frequency can be formulated in terms of the fields <math>\mathbf{D}</math> and <math>\mathbf{B}</math> as ...

"Compact objects in astronomy are usually analyzed in terms of theoretical characteristics of neutron stars or black holes that are bas [[Category:Radiation astronomy/Lectures]] ...

'''The content of these notes is based on the lectures by [http://www.math.utah.edu/~milton/ Prof. Graeme W. Milton] (University o Expanding in Taylor series about <math>z</math> and ignoring higher order terms, we get ...