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What (who) is volume preserving - definition
SUBJECT OF STUDY IN ERGODIC THEORY
Measure-preserving transformation; Kolmogorov entropy; Kolmogorov-Sinai entropy; KS Entropy; Measure-preserving; Volume-preserving; Area-preserving map; Measure-theoretic entropy; Measure theoretic entropy; Kolmogorov–Sinai entropy; Measure preserving dynamical system; Measure preserving transformation; Metric entropy; Isomorphism of dynamical systems
Case preservation
TEXT PROCESSING THAT TREATS LETTERS OF DIFFERENT CASES AS EQUAL BUT PRESERVES THE ORIGINAL CAPITALIZATION
Case-preserving
When a computer file system stores file names, the computer may keep or discard case information. When the case is stored, it is called case preservation.
Volume (finance)
AMOUNT OF A SECURITY TRADED DURING A PERIOD OF TIME
Trading volume; Volume of trade; Trade volume
In capital markets, volume, or trading volume, is the amount (total number) of a security (or a given set of securities, or an entire market) that was traded during a given period of time. In the context of a single stock trading on a stock exchange, the volume is commonly reported as the number of shares that changed hands during a given day.
Volume
![Diagram showing how to measure volume using a graduated cylinder with [[fluid dram]] markings, 1926](https://commons.wikimedia.org/wiki/Special:FilePath/"How to Measure" diagram, with graduated cylinder measuring fluid drams, 1926.jpg?width=200 "Diagram showing how to measure volume using a graduated cylinder with [[fluid dram]] markings, 1926")
QUANTITY OF THREE-DIMENSIONAL SPACE
Volume measure; Volumes or capacities of other orders of magnitude; Volumes; Volumetric; Volume (geometry); Volume (mathematics); Spatial volume; Volume (unit); Volumetry; Volume of a cone; Liquid capacity; Fluid capacity; Cubic length; List of volume formulas
·noun Amount, fullness, quantity, or caliber of voice or tone.
II. Volume ·noun Anything of a rounded or swelling form resembling a roll; a turn; a convolution; a coil.
III. Volume ·noun A roll; a scroll; a written document rolled up for keeping or for use, after the manner of the ancients.
IV. Volume ·noun Dimensions; compass; space occupied, as measured by cubic units, that is, cubic inches, feet, yards, ·etc.; mass; bulk; as, the volume of an elephant's body; a volume of gas.
V. Volume ·noun Hence, a collection of printed sheets bound together, whether containing a single work, or a part of a work, or more than one work; a book; a tome; especially, that part of an extended work which is bound up together in one cover; as, a work in four volumes.
Wikipedia
Measure-preserving dynamical system
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems. They provide the formal, mathematical basis for a broad range of physical systems, and, in particular, many systems from classical mechanics (in particular, most non-dissipative systems) as well as systems in thermodynamic equilibrium.
