Archimedean

Definitions

  • Webster's Revised Unabridged Dictionary
    • a Archimedean Of or pertaining to Archimedes, a celebrated Greek philosopher; constructed on the principle of Archimedes' screw; as, Archimedean drill, propeller, etc.
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Century Dictionary and Cyclopedia
    • Archimedean Pertaining to Archimedes, a celebrated mathematician, born at Syracuse in the third century b. c., or to his mechanical inventions.
    • Archimedean The hydrostatical principle, also discovered by Archimedes, that a body immersed in a fluid loses an amount of weight equal to that of the fluid it displaces.
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Chambers's Twentieth Century Dictionary
    • adj Archimedean ärk-i-me-dē′an pertaining to Archimedes, a celebrated Greek mathematician of Syracuse (287-212 B.C.)
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Etymology

Webster's Revised Unabridged Dictionary
L. Archimedeus,

Usage

In literature:

It is the Archimedean lever by which the great human world has been raised.
"Scientific American Supplement, Vol. XXI., No. 531, March 6, 1886" by Various
There are no sects in geometry; one does not speak of a Euclidian, an Archimedean.
"Voltaire's Philosophical Dictionary" by Voltaire
When a business man once gets his mind set, not even an Archimedean lever could stir it.
"The Holy Cross and Other Tales" by Eugene Field
But the main point is the Archimedean money-power that would be brought to bear.
"The Confidence-Man" by Herman Melville
The former is styled the Archimedean, the latter the Phantom Minnow, which collapses when struck by a fish.
"The Teesdale Angler" by R Lakeland
This term generally alludes to the Archimedean screw, or screw-propeller.
"The Sailor's Word-Book" by William Henry Smyth
An Archimedean lever had been found at last with which to move the world.
"Inventions in the Century" by William Henry Doolittle
For the uplift of his flagging, flaccid will he seemed likely to require either the Archimedean lever or the Archimedean screw.
"The Tigress" by Anne Warner
Of these the best known are the block and tackle, the endless screw (worm gear), and the water snail, or Archimedean screw.
"The Story of Great Inventions" by Elmer Ellsworth Burns
So far, a type of past ages when Nasmyth hammers and Archimedean drills were unknown.
"The Flower of Forgiveness" by Flora Annie Steel
Another continuous system of extraction is that involving the use of the Archimedean screw.
"Animal Proteins" by Hugh Garner Bennett
Here we have arrived at the Archimedean fulcrum of Rodbertus' system.
"The Accumulation of Capital" by Rosa Luxemburg
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In news:

What is an Archimedean Screw Turbine.
An Archimedean spiral antenna features a unique transmission-line approach to achieve a bandwidth of 0.8 to 9.4 GHz in a compact size More.
Ya-Wei Wang, Guang-Ming Wang, and Hui-Yong Zeng, "Design of a New Meander Archimedean Spiral Antenna," Microwave and Optical Technology Letters, Vol 52, No 10, 2010, pp 2384-2387.
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In science:

In it was shown, by providing an infinitary definition of the segment congruence relation ≡ (AB ≡ CD if and only if d(A, B ) = d(C, D)) in terms of P1 , that plane Euclidean geometry over Archimedean ordered Euclidean fields (all positive elements have square roots) can be axiomatized in the infinitary language Lω1 ω .
Discrete versions of the Beckman-Quarles theorem from the definability results of Raphael M. Robinson
Let p be a prime number, K a number field and S ⊇ T sets of primes of K , where S contains the set Sp ∪ S∞ of archimedean primes and primes above p.
On Cebotarev sets
Batyrev, Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs, J.
McKay correspondence for elliptic genera
Recall that a (multiplicative non-archimedean) valuation of a field D is a mapping v : D → R≥0 such that for a, b ∈ D.
On linearity of finitely generated R-analytic groups
Let F be a non-archimedean local field of characteristic zero.
Unique decomposition of tensor products of irreducible representations of simple algebraic groups
Galois group GK into GLn (F ), unramified outside a finite set S of places containing the archimedean places of K .
Unique decomposition of tensor products of irreducible representations of simple algebraic groups
A non-Archimedean antiderivational line analog of the Cauchytype line integration is defined and investigated over local fields.
Line antiderivations over local fields and their applications
Classes of non-Archimedean holomorphic functions are defined and studied.
Line antiderivations over local fields and their applications
Moreover, non-Archimedean antiderivational analogs of integral representations of functions and differential forms such as the Cauchy-Green, Martinelli-Bochner, Leray, Koppelman and KoppelmanLeray formulas are investigated.
Line antiderivations over local fields and their applications
Though there are few works devoted to nonArchimedean holomorphic functions over the complex non-Archimedean field Cp and the Levi-Civit´a fields, which are not locally compact (see [11, 2] and references therein).
Line antiderivations over local fields and their applications
This article is devoted to others non-Archimedean analogs of integral representation theorems, that were not yet considered by others authors.
Line antiderivations over local fields and their applications
Moreover, this article operates with locally compact non-Archimedean fields of characteristic zero (local fields) and the corresponding analogs of complex planes.
Line antiderivations over local fields and their applications
Apart from the classical case in the non-Archimedean case there is not any indefinite integral.
Line antiderivations over local fields and their applications
For them the existence of an exponential mapping is proved. A rigid non-Archimedean geometry serves mainly for needs of the cohomology theory on such manifolds, but it is too restrictive and operates with narrow classes of analytic functions .
Line antiderivations over local fields and their applications
Classes of non-Archimedean holomorphic functions are defined and studied.
Line antiderivations over local fields and their applications
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