In literature:
It underlies the whole significance of zonal location, continental and insular.
"Influences of Geographic Environment" by Ellen Churchill Semple
We have observed throughout the series of examples presented a decided tendency toward banded or zonal arrangement of the ornamentation.
"A Study Of The Textile Art In Its Relation To The Development Of Form And Ornament" by William H. Holmes
D. Spherical aberration may be located by using stops and zonal screens, and observing the effect on the image.
"On Laboratory Arts" by Richard Threlfall
The augite is usually violet coloured, and shows zonal and hour-glass structures.
"Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 3" by Various
A zonal arrangement of minerals about intrusives is often noted.
"The Economic Aspect of Geology" by C. K. Leith
The zonal range is from the Canadian Life-zone into the Tropical Life-zone.
"A Synopsis of the North American Lagomorpha" by E. Raymond Hall
D. Spindle-shaped cell in stratum zonale.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 4" by Various
A map of the world, showing the zonal areas.
"A Guide for the Study of Animals" by Worrallo Whitney
In the Silurian system, for example, the graptolites have been shown by C. Lapworth to furnish a useful basis for zonal subdivisions.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6" by Various
This zonal crowding would be of special importance in summer, at which time it would also be most pronounced.
"Climatic Changes" by Ellsworth Huntington
Often they enclose dark crystals of biotite and hornblende, arranged zonally.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 3" by Various
Zonal range: Upper Tropical Life-zone.
"Speciation and Evolution of the Pygmy Mice, Genus Baiomys" by Robert L. Packard
It is illustrated with plates showing both zonal and faunal divisions and four profiles across the state.
"Bird-Lore March-April 1916" by Various
Zonal range: humid Transition.
"North American Jumping Mice (Genus Zapus)" by Philip H. Krutzsch
***
In news:
Ball FloraPlant has extended its Fantasia series of dark-leafed zonal geraniums to include the darkest red color on the market.
Flying Fish Shine at Zonal Championship Meet.
Flying Fish Shine at Zonal Championship Meet.
The recommended media pH is 6.0 to 6.4 (saturated media extract) for zonal geraniums , 5.4 to 5.8 for ivies and 5.8 to 6.2 for hybrid geraniums such as the Calliope series.
Each of the church's 22 zonal coordinators in North America, he said, had been charged with planting seven churches during the previous year.
Sweden's CTT Systems will provide Cair zonal drying equipment for two VIP Boeing 747-8s.
CTT zonal system dries insulation, prevents corrosion, cuts fuel burn.
Monarch Airlines of the UK has ordered CTT Systems' (Stand A131) zonal -drying systems for its 27-strong fleet.
CTT zonal system dries insulation, prevents corrosion , cuts fuel burn.
***
In science:
In the complex case, this integral can be evaluated using the Harish-Chandra (or Itzykson Zuber ) formula, while in the quarternionic case, the integral can be written as an inﬁnite series in terms of Zonal polynomials and such series converges to a simple function in the rank 1 case.
The rank 1 real Wishart spiked model I. Finite N analysis
For the real case, however, the Harish-Chandra Itzykson Zuber formula does not apply and while the series expression in terms of Zonal polynomials still exists, such series expression do not seem to converge into a simple function.
The rank 1 real Wishart spiked model I. Finite N analysis
The second proof is an algebraic proof that uses the Zonal polynomial expansion to verify the formula in Theorem 1.
The rank 1 real Wishart spiked model I. Finite N analysis
We present here a simpler algebraic proof of Theorem 1 using Zonal polynomials.
The rank 1 real Wishart spiked model I. Finite N analysis
The real Zonal polynomials Zp (X ) take arguments in symmetric matrices and are homogenous polynomials in the eigenvalues of its matrix argument X .
The rank 1 real Wishart spiked model I. Finite N analysis
Then the Zonal polynomial Zp (X ) is a homogenous polynomial of degree k in the eigenvalues xj with the highest weight term being xp .
The rank 1 real Wishart spiked model I. Finite N analysis
Another important property is the following generating function formula for the Zonal polynomials, which can be found in and .
The rank 1 real Wishart spiked model I. Finite N analysis
There also exist complex and quarternionic Zonal polynomials Cp (X ) and Qp (X ) which satisfy the followings instead.
The rank 1 real Wishart spiked model I. Finite N analysis
Zonal polynomials of the real positive deﬁnite matrices.
The rank 1 real Wishart spiked model I. Finite N analysis
This approximation, in turn, is valid when zonal winds are strong enough to provide the required redistribution.
Magnetically Controlled Outflows from Hot Jupiters
Our main goal in this section is to deﬁne zonal polynomials over a symmetric cone.
Maximal Invariants Over Symmetric Cones
In this section we provide the reader with a condense review of the structural analysis of symmetric cones which is essential in understanding the generalized notions, such as hypergeometric functions, zonal polynomials and the Wishart distribution, we discuss later.
Maximal Invariants Over Symmetric Cones
Zonal polynomials are K -invariant polynomials normalized by the property tr( x)k = X|λ|=k Notice that the function p( x) = tr( x)k on Ω is a K -invariant homogeneous polynomial in Pλ ( J ).
Maximal Invariants Over Symmetric Cones
Solid line represents zonal mean wind at the equator, dashed line the equatorial maximum.
Benchmark experiments with global climate models applicable to extra-solar gas giant planets in the shallow atmosphere approximation
The total energy spectrum is shown as a solid line, while the zonal component is dashed and the eddy dash-dotted.
Benchmark experiments with global climate models applicable to extra-solar gas giant planets in the shallow atmosphere approximation
***