fourth dimension

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fourth dimension

n.
Time regarded as a coordinate dimension and required by relativity theory, along with three spatial dimensions, to specify completely the location of any event.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

fourth dimension

n
1. (General Physics) the dimension of time, which is necessary in addition to three spatial dimensions to specify fully the position and behaviour of a point or particle
2. (Literary & Literary Critical Terms) the concept in science fiction of a dimension in addition to three spatial dimensions, used to explain supernatural phenomena, events, etc
ˌfourth-diˈmensional adj
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

fourth′ dimen′sion


n.
1. a dimension, usu. time, in addition to length, width, and depth, used to discuss phenomena that depend on four variables in geometrical language.
2. something beyond scientific explanation.
[1870–75]
fourth′-di•men′sion•al, adj.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.fourth dimension - the fourth coordinate that is required (along with three spatial dimensions) to specify a physical event
dimension - the magnitude of something in a particular direction (especially length or width or height)
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

fourth dimension

n the fourth dimensionla quarta dimensione
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Orlowski, "Comparison of SPEA2 and NSGA-II Applied to Automatic Inventory Control System Using Hypervolume Indicator", vol.
Evaluation and comparison of the proposed algorithms are realized with the hypervolume standard metric [10], over Beasley's benchmark [11] in Section 6.
By taking [w.sub.1] to be 2, the [r.sub.1] * [w.sub.1] value allows the local female leader (LFL) to explore the hypervolume covered by maximum 2 * [DELTA]d distance in each dimension around the global female leader (GFL) (where [DELTA]d is distance between LFL and GFL).
In their work, solutions in a population are firstly divided into a number of solution sets of the same size, and then the hypervolume indicator is adopted to assess the performance of those sets.
Obayashi, "A study on many-objective optimization using the kriging-surrogate-based evolutionary algorithm maximizing expected hypervolume improvement," Mathematical Problems in Engineering, vol.
Hypervolume (HV) [40] is also known as the S measure or the Lebesgue measure [41, 42].
As can be seen from the table, NSGA-III-WA hypervolume performance is better than the other five algorithms.
For the performance evaluations of the different algorithms FADSE implements some quality indicators that do not require the true Pareto front, like the followings: Coverage [12], Hypervolume [12] and Two Set Hypervolume Difference [13].
After studying the results, it is concluded that constrained relay node deployment using the MOABCLLS outperforms the performance of the other algorithms, based on two MO quality metrics: hypervolume and coverage of two sets.
To quantify this improvement, we use the hypervolume indicator which is a popular real-valued quality measure used to assess Pareto Front accuracy [23].
Measures of niche overlap that compare the overlap between two species niche in the hypervolume (Blonder et al.
In this part, the behaviour of the optimisation routine will be analysed through some tools such as the generational distance, the hypervolume, and the rate of feasible solutions [35].