Talk:Holonomic constraints

Mathematics Start‑class Low‑priority

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Start	This article has been given a rating which conflicts with the project-independent quality rating in the banner shell. Please resolve this conflict if possible.
Low	This article has been rated as Low-priority on the project's priority scale.

‹See TfM›

Physics Low‑importance

	Physics portal This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.PhysicsWikipedia:WikiProject PhysicsTemplate:WikiProject Physicsphysics articles
Low	This article has been rated as Low-importance on the project's importance scale.

Systems

	Systems science portal This article is within the scope of WikiProject Systems, which collaborates on articles related to systems and systems science.SystemsWikipedia:WikiProject SystemsTemplate:WikiProject SystemsSystems articles
???	This article has not yet received a rating on the project's importance scale.
	This article is within the field of Dynamical systems.

This definition doesn't make sense

Without a smoothness guarantee, or some regularity condition on the function, the defintion that the constraint is the root locus of some function says literally nothing. Any set is the root locus of the constant function one minus its indicator function! Can anyone clarify what sorts of regularity conditions are typically imposed? 18.111.94.107 (talk) 06:22, 20 February 2015 (UTC)[reply]

What is C1

Where it says "provided that $f_{i}\,\!$ is $C^{1}\,\!$ ", what is " $C^{1}\,\!$ " ? - Rod57 (talk) 08:23, 27 June 2015 (UTC)[reply]

See Smoothness#Order_of_continuity --J B 13:16, 29 June 2020 (UTC)[reply]

Misleading example in introduction

The example of a barrier in the introduction is a bad example because the main thrust of nonholonomic constraints is not inequalities, but functional constraints that involves the velocities.

Poorly written subsection

The subsection "Holonomic system - Introduction" is poorly written. The language is slightly abstract, yet the entities involved are not sharply defined, so it is hard to know what is meant without already knowing the subject.

For example, what is a "component"?

What does this sentence mean:

"a holonomic system is (simply speaking) a system in which one can deduce the state of a system by knowing only the change of positions of the components of the system over time, but not needing to know the velocity or in what order the components moved relative to each other"

Does it have something to do with path-independence?

When do these velocities occur? Is it just one "velocity" or is it a function v(t)?

Why have we shifted the definition from a (clear and precise) restriction on the generalized positions q, as described in the introduction, to a (vague and verbal) statement about the ontology of states of the system?

I can't relate these characterizations to each other. 194.230.148.166 (talk) 00:27, 27 October 2022 (UTC)[reply]