What is a manifold in layman terms?

In layman’s terms a manifold is a geometric object that looks exactly the same, has exactly the same properties, no matter what tiny little piece of it you focus on.

What is a foliation in mathematics?

In mathematics (differential geometry), a foliation is an equivalence relation on an n-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space Rn into the cosets x + Rp of the standardly embedded …

What is manifold differential geometry?

Manifolds. A differentiable manifold is a Hausdorff and second countable topological space M, together with a maximal differentiable atlas on M. Much of the basic theory can be developed without the need for the Hausdorff and second countability conditions, although they are vital for much of the advanced theory.

What does the word foliation mean?

1 : composed of or separable into layers a foliated rock. 2 : ornamented with foils or a leaf design.

What is a manifold engineering?

Engineering. Manifold (fluid mechanics), a machine element used to split or combine a gas or liquid. Hydraulic manifold, a component used to regulate fluid flow in a hydraulic system, thus controlling the transfer of power between actuators and pumps.

How is foliation formed?

Foliated Metamorphic Rocks: Foliation forms when pressure squeezes the flat or elongate minerals within a rock so they become aligned. These rocks develop a platy or sheet-like structure that reflects the direction that pressure was applied.

How would you describe foliation in metamorphic rocks?

Foliation in geology refers to repetitive layering in metamorphic rocks. Each layer can be as thin as a sheet of paper, or over a meter in thickness. Rocks exhibiting foliation include the standard sequence formed by the prograde metamorphism of mudrocks; slate, phyllite, schist and gneiss.

What is foliation in a metamorphic rock?

What is foliation quizlet?

What is foliation? The planar (nearly flat) arrangement of mineral grains or crystals within a rock.

What is a manifold area?

A manifold is a fluid or gas distribution system or device that serves to bring many valves into one place or a single channel into an area where many points meet. Manifold systems can range from simple supply chambers with several outlets, to multi-chambered flow control units.