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...Luc |last2=van Assen |first2=Hans |date=January 2012 |title=Multiplicative Calculus in Biomedical Image Analysis |journal=[[Journal of Mathematical Imaging and ...assist people working with the alternative calculus called the "geometric calculus" (or its discrete analog). Interested readers are encouraged to improve the ...

...te version of the geometric integral of geometric calculus, one of the non-Newtonian calculi. ...://www.math.tu-berlin.de/~mueller/HowToAdd.pdf Markus Müller. How to Add a Non-Integer Number of Terms, and How to Produce Unusual Infinite Summations] ...

...ruesdell, Clifford |author2=Noll, Walter |name-list-style=amp | title=The Non-Linear Field Theories of Mechanics | publisher=Springer | year=2004 | isbn= [[Category:Multivariable calculus]] ...

...book |last= Khalili Golmankhaneh|first= Alireza |date=2022 |title=Fractal Calculus and its Applications |url=https://worldscientific.com/worldscibooks/10.1142 ...'' and ''β''. The traditional definition of velocity makes no sense in the non-differentiable fractal spacetime.<ref name=":1" /> ...

...al interpretation of the fractional [[dashpot]] and hence the [[Fractional calculus|fractional derivatives]] was obtained. ...

* [https://sites.google.com/site/nonnewtoniancalculus/ Non-Newtonian calculus website] [[Category:Non-Newtonian calculus]] ...

...ocal motion cannot achieve net displacement in a low-[[Reynolds number]] [[Newtonian fluid]] environment, i.e. a fluid that is highly [[Viscosity|viscous]]. Suc ...from the surrounding fluid. For an [[Incompressible fluid|incompressible]] Newtonian fluid with density <math>\rho</math> and [[dynamic viscosity]] <math>\eta</ ...

=== Newtonian gravity === Similar to electric and magnetic fields, one can discuss the case of a Newtonian [[gravitational field]] <math>\mathbf g</math> described by [[Gauss's law ...

In [[discrete calculus]] the '''indefinite sum''' operator (also known as the '''antidifference''' ==Fundamental theorem of discrete calculus== ...

...cs]]. Basil Hiley wrote a foreword to de Gosson's book ''The Principles of Newtonian and Quantum Mechanics'' (Imperial College Press, London). ...to prove that [[Mikhail Leonidovich Gromov|Mikhail Gromov]]'s symplectic [[non-squeezing theorem]] (also called the Principle of "the Symplectic Camel") a ...

...the calculus of variations.<ref>Goldstine, Herman Heine. A History of the Calculus of Variations from the 17th through the 19th Century. Vol.&nbsp;5. Springer ...e coefficient of o in the expansion of <math> \delta \rho </math> would be non-zero. Then a solid with less resistance could be produced by choosing a sui ...

...}} vs. {{math|''t''}} graph) is the displacement, {{math|'''''s'''''}}. In calculus terms, the [[integral]] of the velocity function {{math|'''''v'''''(''t'')} ...ite book |title=The Calculus Lifesaver: All the Tools You Need to Excel at Calculus |author1=Adrian Banner |edition=illustrated |publisher=Princeton University ...

...al solutions. For example, in the study of a point mass, the choice of a "Newtonian gauge" yields a solution similar to the [[Schwarzschild metric]] in [[Gulls ...Hestenes: [https://davidhestenes.net/geocalc/pdf/NEW_GRAVITY.pdf Spacetime calculus for gravitation theory] – an account of the mathematical formalism explicit ...

[[Category:Linear operators in calculus]] [[Category:Non-Newtonian calculus]] ...

{{short description|Discrete (i.e., incremental) version of infinitesimal calculus}} {{About-distinguish|the discrete version of calculus|Discretization in calculus}} ...

...rst principles, etc. Current research focuses on [[rigidity (mathematics)|non-rigid]] affine structures, (sometimes called "quantum structures") wherein ...o additional insight over the ordinary concept of a volume in multivariate calculus, and so these are likewise dropped. Some older textbooks, e.g., Landau and ...

The earliest formulation of classical mechanics is often referred to as [[Newtonian mechanics]]. It consists of the physical concepts based on the 17th century ...also refer to a particular formalism based on [[Newton's laws of motion]]. Newtonian mechanics in this sense emphasizes force as a [[vector (physics)|vector]] q ...

...cations'', as the manuscript is entitled, is essentially a concurrent spin calculus applied to the living environment with strict topological constraints.<ref> ...ry work where minimally two concurrent concepts were required to produce a non-trivial third. One distinction separated the similarity and difference of a ...

...tted from a source at rest or in motion. (Note that this does not apply in non-inertial frames, indeed between accelerating frames the speed of light cann ...rld Scientific]] |isbn=981-256-651-1}}</ref> Although it can be applied in non-inertial frames if an observer is confined to making local measurements.<re ...

...re exerts a reaction force '''C''' on the bead to keep it on the wire. The non-constraint force '''N''' in this case is gravity. Notice the initial positi ...) = 0}}, the constraint force '''C''' is the tension in the rod. Again the non-constraint force '''N''' in this case is gravity.]] ...