apex

Definitions

  • WordNet 3.6
    • n apex the point on the celestial sphere toward which the sun and solar system appear to be moving relative to the fixed stars
    • n apex the highest point (of something) "at the peak of the pyramid"
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Webster's Revised Unabridged Dictionary
    • Apex (Mining) The end or edge of a vein nearest the surface.
    • Apex The tip, top, point, or angular summit of anything; as, the apex of a mountain, spire, or cone; the apex, or tip, of a leaf.
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Century Dictionary and Cyclopedia
    • n apex The tip, point, or summit of anything. In botany: The end furthest from the point of attachment or base of an organ.
    • n apex In geology, the top of an anticlinal fold of strata. [Pennsylvania coal-mines.] [This term as used in the U. S. Revised Statutes has been the occasion of much litigation. It is supposed to mean something nearly equivalent to outcrop (which see); but precisely in what it differs from outcrop has not been, neither does it seem capable of being, distinctly made out.]
    • n apex In mining, the landing-point at the top of a slope.
    • n apex In Roman antiquity, a symbolic ornament which the flamens and some other priests were required by law to wear. It consisted of a small cone of olive-wood surrounded with a lock of wool, and was secured on the head by fillets or adjusted to a cap.
    • n apex In projective geometry, the point determined by 3 planes.
    • n apex plural The abacusmarks. The apices of Gerbert's abacus are symbols for the digits from 1 to 9, but without the zero. See the extract.
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Chambers's Twentieth Century Dictionary
    • n Apex ā′peks the summit or point: the vertex of a triangle: the culminating point, climax of anything
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Quotations

  • Henry David Thoreau
    Henry%20David%20Thoreau
    “The stars are the apexes of what triangles!”

Etymology

Webster's Revised Unabridged Dictionary
L
Chambers's Twentieth Century Dictionary
L. apex, the peak of the flamen's cap.

Usage

In literature:

I clambered to its apex, and then felt much at a loss as to what should be next done.
"The Short-story" by William Patterson Atkinson
At the apex of the wedge stood another.
"A Son Of The Sun" by Jack London
One of these is of triangular shape about 150 feet wide at the base and 80 feet in height to the apex.
"The Tribes and Castes of the Central Provinces of India" by R. V. Russell
In the apex of the triangle stand an altar and a fountain, and before the altar once stood the statue of the builder of the portico.
"The Best of the World's Classics, Vol. V (of X) - Great Britain and Ireland III" by Various
They were thick and leathery and tapered from base to apex like a triangle.
"An American Robinson Crusoe" by Samuel. B. Allison
The whirlpool was a cone rather than a funnel, and I had come to the apex.
"Danger! and Other Stories" by Arthur Conan Doyle
The stream, swerving to the left, flows on to the apex of the Big Bend.
"The Adventures of Piang the Moro Jungle Boy" by Florence Partello Stuart
Lateral veins of leaflets or their main branches all or mostly all terminating in the apex of marginal teeth.
"Northern Nut Growers Association Thirty-Fourth Annual Report 1943" by Various
On his head was a tall peaked fur cap, with a barred coon tail flopping at its apex.
"The Rainy Day Railroad War" by Holman Day
Fortress Monroe lies at the apex of a wedge-shaped peninsula formed by the York and James Rivers, which converge as they flow toward the coast.
"History of the United States, Volume 4" by E. Benjamin Andrews
Ante-apical: just before the apex.
"Explanation of Terms Used in Entomology" by John. B. Smith
The apex of the cone must be cut off till it is only slightly larger than the greatest transverse diameter of the diamond splinter.
"On Laboratory Arts" by Richard Threlfall
On the south, the provinces meet the apex of that of the Gulf Plains, and the Mississippi unites them.
"The Frontier in American History" by Frederick Jackson Turner
The smoke found its way out of the doorway, and through a small aperture, where the poles at the apex joined.
"A Voyage round the World" by W.H.G. Kingston
A dark disc of triangular shape, the apex inverted, proclaims a break in the escarpment.
"The Death Shot" by Mayne Reid
In John's eyes, Lawrence occupied a position near the apex of the world's pyramid of great men.
"The Hill" by Horace Annesley Vachell
They are each in form like a pyramid without its apex.
"The Scalp Hunters" by Mayne Reid
The work of the ages had no apex.
"Natural Law in the Spiritual World" by Henry Drummond
The frog is a triangular-shaped body, divided into two equal parts by a deep fissure, extending from its apex in front to the base.
"Special Report on Diseases of the Horse" by United States Department of Agriculture
We see evidently that the greatest weight of water bends over the very apex of the Horseshoe.
"Fragments of science, V. 1-2" by John Tyndall
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In poetry:

The pyramid through ages past,
Through all their tempest, storm and blast,
Held its apex up to grasp
The elements.
"The Pyramid" by Samuel Alfred Beadle
Cheer up, brother; though the mountain
May be rugged, rough, and high,
From its apex flows a fountain;
Slake your thirst whenever dry.
"Cheer Up" by Benjamin Cutler Clark
It's my turn now! Oh, let me bare my chest
And spread a level sheet across my crib,
And be as wax for our meticulous Miss;
While she, poor dear, doing her anxious best,
Feels for the apex under the wrong rib
And wonders fiercely where my liver is.
"The Student" by Thomas William Hodgson Crosland

In news:

The petition filed in the Wells County Superior Court for a judicial review of the Area Plan Commission's decision to allow Apex Wind Energy to proceed with its wind farm development has been dismissed.
Apex, rain get the best of Garner Post 232 Post 124 advances to state American Legion championships for the first time.
Pultruded Fiberglass Siding by APEX Offers Homeowners Durable, Green Alternative to Fiber Cement and Vinyl.
The APEX Ultrex® Siding System is a new, premium class of siding and trim.
Extreme heat, extreme cold, high humidity, saltwater, and major storm systems are no match for APEX.
The shooting of two mountain lion cubs has prompted an outcry from wildlife advocates and reignited a debate about balancing public safety with the welfare of the region's apex predator.
Adamo Group saves time and money using an Apex 70 Ultra High Demolition hydraulic excavator and hydraulic hammer attachment to take down Detroit's Pier 19.
Apex 70UHD Hydraulic Excavator Demolishes Pier 19 in Half the Time of Traditional Methods.
Apex Jazz Festival 's slate expands in 2nd year Seth Walker will headline.
The second annual Apex Jazz Festival is from 4 pm to 1 am Saturday at 11 venues along Salem Street in downtown Apex.
Apex gets the last laugh Garner Post 232 drops 2 of 3 to Post 124.
Hector "Macho" Camacho, the brash and charismatic boxer who once sat at the apex of his sport, was pronounced dead Saturday after doctors took him off life support at his family's direction.
Attorney Jason Wunsch, of Fuquay-Varina, talks with a supporter after a candidate forum in Apex.
The endless political campaign season has reached its apex.
An 'apex hunter' rides to the rescue in Asian carp battle.
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In science:

Hence, denoting C ( ˆx, e) the cone of opening 2θ, having its apex at the end point, e, of a segment and its axis collinear with ˆx, the second segment will lie on an arbitrary separatrix of C ( ˆx, e).
On the physical relevance of random walks: an example of random walks on a randomly oriented lattice
Theorem 1 A pseudo-triangulation of S is minimum iff every point p ∈ S is pointed in the sense that its incident edges span less than π (i.e., they fal l within a cone apexed at p with aperture angle < π).
Computational Geometry Column 43
We now dress this L-star SL by a packet of n independent Brownian paths diffusing away from the apex of the star, located on the boundary, while avoiding the random paths of the star (Fig. 25).
Conformal Fractal Geometry and Boundary Quantum Gravity
The apex in the heat capacity curve indicates the denaturation transition.
Investigation of the Heat Capacities of Proteins by Statistical Mechanical Methods
Before we prove this, let us observe that the equality A/V = D, from condition 3, is Archimedes’ formula for the volume of a D-dimensional pyramid of unit height—where we define a pyramid as the convex hull of the base and the apex of some convex cone.
On the structure of the body of states with positive partial transpose
Hence it will be true that γ (X ) = D whenever the body can be decomposed into a union of disjoint pyramids of fixed height with apex at the center of the inscribed ball.
On the structure of the body of states with positive partial transpose
To improve light collection in the mixer, LEDs were placed inside a square pyramid with a reflecting internal surface near the apex.
Design and performance of LED calibration system prototype for the lead tungstate crystal calorimeter
The cone apex is taken as the pixel reconstructed primary vertex with the algorithm presented in .
The CMS High Level Trigger
Like Brianchon-Gram they express 1P in terms of characteristic functions of cones with apex the different faces of the polytope.
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
It is a full dimensional cone with apex ∆ (i.e. ∆ is the maximal affine space contained in C∆ ).
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
A cone with a single point as apex (also called vertex).
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
We thus dress this L-star SL by a packet of n independent Brownian paths diffusing away from the apex of the star, located on the boundary, while avoiding the star’s paths (Fig. 45).
Conformal Random Geometry
AEC Antenna: The apex structure of the AEC antenna does not enable us to mount the holography receiver inside the apex structure cylinder, as in the case for the VertexRSI antenna.
Evaluation of the ALMA Prototype Antennas
Thus in this case the receiver was bolted to the flange on the outside of the apex structure.
Evaluation of the ALMA Prototype Antennas
For the AEC BUS pointing stability during the fast (0.5 deg/s) OTF scan, pointing is affected for some parts of the scan by apex rotation feeding back to the BUS motion.
Evaluation of the ALMA Prototype Antennas
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