folium

Definitions

  • WordNet 3.6
    • n folium a thin layer or stratum of (especially metamorphic) rock
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Webster's Revised Unabridged Dictionary
  • Interesting fact: The leaf bug of ceylon (phyllum sicci folium) has legs and antennae the color and shape of leaves, has indentations on its body like the vein marks on a leaf, and hangs from branches, swaying in the breeze exactly like a leaf.
    • Folium (Geom) A curve of the third order, consisting of two infinite branches, which have a common asymptote. The curve has a double point, and a leaf-shaped loop; whence the name. Its equation is x3 + y3 = axy.
    • Folium A leaf, esp. a thin leaf or plate.
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Century Dictionary and Cyclopedia
    • n folium A leaf; a lamina; a lamella; a layer.
    • n folium In geometry, a loop, being a part of a curve terminated at both ends by the same node.
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Etymology

Webster's Revised Unabridged Dictionary
L., a leaf

Usage

In literature:

Folium majus cuiusque paris 8-10 jugum, foliolis ovatis.
"Expedition into Central Australia" by Charles Sturt
The plants most limited were Papaveracea, Aconitum folium aconitoideum, Saxif.
"Journals of Travels in Assam, Burma, Bhootan, Afghanistan and TheNeighbouring Countries" by William Griffith
With Folium, in Latin, is rightly associated the word Flos; for the flower is only a group of {42} singularly happy leaves.
"Proserpina, Volume 1" by John Ruskin
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In science:

Notice that classically Hǫ = |aǫ |2 . 47The abstract statement is : The folium of a faithful state on a C∗−algebra is weakly dense in the set of all states.
Loop Quantum Gravity: An Inside View
Here the folium of a states are all trace class operators on the corresponding GNS Hilbert space.
Loop Quantum Gravity: An Inside View
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