Multiple maxima in multivariate samples

2005 ◽  
Vol 75 (1) ◽  
pp. 11-17 ◽  
Author(s):  
Enkelejd Hashorva ◽  
Jürg Hüsler
Keyword(s):  
2017 ◽  
Vol 19 (48) ◽  
pp. 32398-32403 ◽  
Author(s):  
Maksim A. Orekhov

The diffusivity of ions in liquid solutions is known either to decrease with an increase in the ion size or to have a single maximum depending on the ion size. This article presents evidence for the appearance of multiple maxima and thus multiple ion sizes with enhanced diffusivity.


2008 ◽  
Vol 60 (3) ◽  
pp. 616-630 ◽  
Author(s):  
Erick Jorge Canales-Rodríguez ◽  
Lester Melie-García ◽  
Yasser Iturria-Medina ◽  
Eduardo Martínez-Montes ◽  
Yasser Alemán-Gómez ◽  
...  

2000 ◽  
Vol 17 (10) ◽  
pp. 1529-1541 ◽  
Author(s):  
Benny Chor ◽  
Michael D. Hendy ◽  
Barbara R. Holland ◽  
David Penny

2013 ◽  
Vol 141 (6) ◽  
pp. 1884-1909 ◽  
Author(s):  
Vincent T. Wood ◽  
Luther W. White ◽  
Hugh E. Willoughby ◽  
David P. Jorgensen

Abstract A new parametric tropical cyclone (TC) wind profile model is presented for depicting representative surface pressure profiles corresponding to multiple-maxima wind profiles that exhibit single-, dual-, and triple-maximum concentric-eyewall wind peaks associated with the primary (inner), secondary (first outer), and tertiary (second outer) complete rings of enhanced radar reflectivity. One profile employs five key parameters: tangential velocity maximum, radius of the maximum, and three different shape velocity parameters related to the shape of the profile. After tailoring the model for TC applications, a gradient wind is computed from a cyclostrophic wind formulated in terms of the cyclostrophic Rossby number. A pressure, via cyclostrophic balance, was partitioned into separate pressure components that corresponded to multiple-maxima cyclostrophic wind profiles in order to quantitatively evaluate the significant fluctuations in central pressure deficits. The model TC intensity in terms of varying growth, size, and decay velocity profiles was analyzed in relation to changing each of five key parameters. Analytical results show that the first shape velocity parameter, changing a sharply to broadly peaked wind profile, increases the TC intensity and size by producing the corresponding central pressure fall. An increase (decrease) in the second (third) shape velocity parameter yields the pressure rise (fall) by decreasing (increasing) the inner (outer) wind profile inside (outside) the radius of the maximum. When a single-maximum tangential wind profile evolves to multiple-maxima tangential wind profiles during an eye replacement cycle, the pressure falls and rises are sensitively fluctuated.


2017 ◽  
Author(s):  
Hessein

This paper presents a methodology for synthesizing planarlinkages to approximate any prescribed periodic function. Themechanisms selected for this task are the slider-crank and thegeared five-bar with connecting rod and sliding output (GFBS),where any number of drag-link (or double crank) four-bars areused as drivers. A slider-crank mechanism, when comparing theinput crank rotation to the output slider displacement, producesa sinusoid-like function. Instead of directly driving the inputcrank, a drag-link four-bar may be added that drives the crankfrom its output via a rigid connection between the two. Drivingthe input of the added four-bar results in a function that is lesssinusoid-like. This process can be continued through the additionof more drag-link mechanisms to the device, slowly alteringthe curve toward any periodic function with a single maximum.For periodic functions with multiple maxima, a GFBS is usedas the terminal linkage added to the chain of drag-link mechanisms.The synthesis process starts by analyzing one period ofthe function to design either the terminal slider-crank or terminalGFBS. A randomized local search is then conducted as thefour-bars are added to minimize the structural error between thedesired function and the input-output function of the mechanism.Mechanisms have been “grown” in this fashion to dozens of linksthat are capable of closely producing functions with a variety ofintriguing features.


2017 ◽  
Author(s):  
Hessein

This paper presents a methodology for synthesizing planar linkages to approximate anyprescribed periodic function. The mechanisms selected for this task are the slider-crankand the geared five-bar with connecting rod and sliding output (GFBS), where any numberof double-crank (or drag-link) four-bars are used as drivers. A slider-crank mechanism,when comparing the input crank rotation to the output slider displacement,produces a sinusoid-like function. Instead of directly driving the input crank, a drag-linkfour-bar may be added to drive the crank from its output via a rigid connection betweenthe two. Driving the input of the added four-bar results in a function that modifies thesinusoid-like curve. This process can be continued through the addition of moredrag-link mechanisms to the device, progressively altering the curve toward any periodicfunction with a single maximum. For periodic functions with multiple maxima, a GFBS isused as the terminal linkage added to the chain of drag-link mechanisms. The synthesisprocess starts by analyzing one period of the function to design either the terminal slidercrankor terminal GFBS. MATLAB’s fmincon command is then utilized as the four-bars areadded to reduce the structural error between the desired function and the input–outputfunction of the mechanism. Mechanisms have been synthesized in this fashion to includea large number of links that are capable of closely producing functions with a variety ofintriguing features


1969 ◽  
Vol 8 (53) ◽  
pp. 253-276 ◽  
Author(s):  
K. Kizaki

Attempts are made to test the relation predicted by Brace (1960) between strain-rates and the ice-fabric patterns obtained at Mawson station, east Antarctica. These orientation fabrics not only are hardly related to the prediction by Brace (1960) or Kamb (1959) but also change easily within a strain grid with 100m diagonals.Stable patterns of two- and three-maximum fabrics are confirmed. The latter is common and stable in the coarse ice at the surface of the ice sheet. It is apparent that the fabric patterns are generally related to the grain-size. The single-maximum fabric always occurs in fine-grained ice, then more maxima are formed in the course of grain growth.It appears that syntectonic-secondary recrystallization is effective in producing the orientation fabrics with two, three and multiple maxima. Also, the maxima always shift away from the pole of foliation as grain-size increases and there are several stable positions of maximum such as 0°, 17°, 23° and 30°. It is expected that further stable angles would occur with coarser crystals as found in temperate glaciers.


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