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{{see also|Dimensional analysis|SI derived unit}} ===Dimensional expression of derived quantities=== ...

...mperature [[spatial gradient]] is a [[vector quantity]] with [[Dimensional analysis|dimension]] of temperature difference per unit [[length]]. The [[Internatio ...[[Derivative|differentiable]] [[Function (mathematics)|function]] of three-dimensional space (often called a [[scalar field]]), i.e., that ...

...analysis of heat flow, require more complex tools such as [[finite element analysis]]. Their article became used as reference for the ampacity in most of the s ...

...ory]] and [[representation theory]], as well as [[Global analytic function|analysis]], and spurred the development of [[algebraic topology|algebraic]] and [[di ...eristic]] of ''M''. This theorem has a generalization to any compact even-dimensional Riemannian manifold, see [[generalized Gauss-Bonnet theorem]]. ...

{{Short description|Method in electric circuits analysis}} [[File:KCL.png|framed|Kirchhoff's current law is the basis of nodal analysis.]] ...

...shapes are usually made to represent or model real-world examples of a two-dimensional [[scalar field]]s, such as an electric field, or other fields following the ...r" />{{efn-lr|Note that the [[sheet resistance|resistivity units for a two-dimensional sheet]] are ohms / square (<math>\Omega/\Box</math>), not the [[ohm metre]] ...

...explore.ieee.org/document/5217603/ The Sensitivity Function in Variability Analysis], Charles Belove, [[IEEE]] Transactions on Reliability, Volume R-15, Issue ...perature, refresh rates), the range of working values will enclose a three-dimensional, usually oddly-shaped volume. Other examples of conditions and inputs that ...

{{Short description|Tensor that rotates the reference frame to simplify analysis}} ...element vector or a three-by-three element matrix in an effort to simplify analysis. The DQZ transform is the product of the [[Alpha-beta transformation|Clarke ...

A body force is simply a type of force, and so it has the same [[dimensional analysis|dimensions]] as [[force]], [M][L][T]⁻². However, it is often con ...

...152 SITCAP — A simulator of bipolar transistors for computer-aided circuit analysis programs], International Solid-State Circuits Conference (ISSCC), Technica ...he design and scaling of devices.<ref>P.E. Cottrell and E.M. Buturla, "Two-dimensional static and transient ...

...to define the physical dimension of physical quantities for [[dimensional analysis]]. The second table lists the [[SI derived units|derived physical quantitie ! style="width:15ex" | [[Dimensional analysis|Dimension]] ...

...ce|the dimension of an object|size|the dimension of a quantity|Dimensional analysis|other uses|Dimension (disambiguation)}} ...ional squares; the tesseract is four-dimensional (4D) and bounded by three-dimensional cubes. ...

...ots can be traced to [[Joseph Fourier|Fourier's]] concept of [[dimensional analysis]] (1822).<ref>{{citation | last = Fourier | first = Joseph | authorlink = J ...

*{{citation|last=Ishimori|first=Yuji|title=Multi-vortex solutions of a two-dimensional nonlinear wave equation|journal=Prog. Theor. Phys. |volume=72|year=1984|iss ...he Cauchy problem for the Ishimori equation|journal= Journal of Functional Analysis|volume=139|pages=29–67 |year=1996|doi=10.1006/jfan.1996.0078|doi-access=fre ...

|last = Gilmore |first=R. J. |author2=Steer, M. B. |title=Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introduct ...Custom Integrated Circuits Conference |chapter=Efficient frequency domain analysis of large nonlinear analog circuits |year=1996 ...

where <math>G(\mathbf{r}, \mathbf{r}^{\prime})</math> is the three-dimensional homogeneous [[Green's function]] given by ...as such it is the fundamental equation used in [[antenna (radio)|antenna]] analysis and design. It is a very general relationship that can be used to compute t ...

...|last1= Lieb|first1= Elliott|last2= Loss|first2= Michael|date= 2001|title= Analysis |location= Providence|publisher= American Mathematical Society|isbn= 978082 ...Tataru |first2=Daniel |date=2016 |title= Local well-posedness of the (4+1)-dimensional Maxwell-Klein-Gordon equation|journal= Annals of PDE|volume= 2|issue=1 |doi ...

...l]] and [[Compressive strength|compressive]] stiffness of the element. Two-dimensional elements with a thin third dimension have little of either but can resist b ...ction-active'' structures like frames, which are primarily composed of one-dimensional (bending) structures. Other types are ''Vector-active'' structures such as ...

A simple [[phasor]] diagram with a two dimensional [[Cartesian coordinate]] system and phasors can be used to visualize leadin * Hayt, W. H., and J. E. Kemmerly. Engineering Circuit Analysis. 2nd ed. New York: McGraw-Hill, 1971. Print. ...

...both electric current densities and magnetic current densities in the same analysis.<ref name="Balanis_Ant">{{Citation |last=Balanis |first= Constantine A. |ye ...nsity. In this case, the magnetic current density is concentrated in a two dimensional surface so the units of <math> \mathfrak{M}^\text{i}</math> are volts per m ...