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written. I have highlighted one word with boldface: "Formally, a linear continuum is a linearly ordered set S of more than one element that is densely ordered...

numbers are order-isomorphic to the linear continuum of geometry". Reals are what their axioms say they are. "Linear continuum", according to the wiki, is either...

with the definition of continuum mechanics (at least, in concert with the continuum postulate page). As it stands, the continuum postulate definition requires...

mathematicians have studied various notions of the continuum but it always tends to be a linear one, see continuum (theory). Tkuvho (talk) 17:31, 14 February...

exposed to index notation until Continuum Mechanics at the grad level, even though I knew the concepts behind linear elasticity well before that. To use...

in B >equals the dimension of V, and both of the following: > > * B is linearly independent, > * span(B) = V. > >It should be noted that this technique...

Real things exist within a 3 dimensional space continuum, but it can be argued that translation is only a 1 dimension phenomenon. Since translation is...

born in the Q continuum. Since Trelane had parents, I think that means Trelane isn't Q. Q0 06:00, 2 Feb 2005 (UTC) Could be over linear thinking, trelane...

formular for elastic energy / Helmholtz potential of an isotrophic linear elastic continuum in this article. But I'm not an expert and don't have appropriate...

article on continuum mechanics, Euler's laws also hold for deformable continua. They are results derivable from conservation of mass, linear momentum,...

by different amounts does not describe a non-linear effect, I believe. It is a characteristic of linear systems. LightYear 06:19, 15 January 2007 (UTC)...

links to more advanced articles like continuum (set theory) and linear continuum which circularly describe a continuum as being "like the real numbers",...

a linear relationship between variable, and it's even more than a single mathematical concept. It's an entire field of study (also called continuum mechanics)...

diagonal components of the deformation gradient, and the strain tensor. The linear elastic example given doesn't even include a shear strain component! If...

stress does have a place here. If this article is meant to represent the Continuum Theory of stress it is important to make the distinction between the two...

Fluid dynamics. I understand that people like the reasoning down from continuum mechanics to solid mechanics/fluid mechanics. However, the term "fluid...

claims the surreals form an arithmetic continuum and links to linear continuum. The definition of linear continuum, as stated, requires least upper bounds...

as functions of space and time. Fluid mechanics is a subdiscipline of continuum mechanics, as illustrated in the following table: Fluid mechanics has...

Paul Cohen ("Set theory and the continuum hypothesis", 1966, page 151): "This point of view regards C (the continuum - B.Ts.) as an incredibly rich set...

discrete and continuous mathematics... And it has also a modern vision on linear continuum. See didactic explanation at https://www.youtube.com/watch?v=mrVg9GM5h7Q...