Search results
Results From The WOW.Com Content Network
MapReduce is a programming model and an associated implementation for processing and generating big data sets with a parallel and distributed algorithm on a cluster. [1] [2] [3]A MapReduce program is composed of a map procedure, which performs filtering and sorting (such as sorting students by first name into queues, one queue for each name), and a reduce method, which performs a summary ...
Packing different rectangles in a rectangle: The problem of packing multiple rectangles of varying widths and heights in an enclosing rectangle of minimum area (but with no boundaries on the enclosing rectangle's width or height) has an important application in combining images into a single larger image. A web page that loads a single larger ...
An example is Spark where Java is the base language, and Spark is the programming model. Execution may be based on what appear to be library calls. Other examples include the POSIX Threads library and Hadoop's MapReduce. [1] In both cases, the execution model of the programming model is different from that of the base language in which the code ...
RCFile has been adopted in real-world systems for big data analytics. RCFile became the default data placement structure in Facebook's production Hadoop cluster. [ 2 ] By 2010 it was the world's largest Hadoop cluster, [ 3 ] where 40 terabytes compressed data sets are added every day. [ 4 ]
Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.To apply these methods, it is easiest to draw the graph in question; identify the area that is to be revolved about the axis of revolution; determine the volume of either a disc-shaped slice of the solid, with thickness δx, or a cylindrical shell of width δx; and then ...
Simple examples. A simple example of a regular surface is given by the 2-sphere {(x, y, z) | x 2 + y 2 + z 2 = 1}; this surface can be covered by six Monge patches (two of each of the three types given above), taking h(u, v) = ± (1 − u 2 − v 2) 1/2. It can also be covered by two local parametrizations, using stereographic projection.
From the point of view of descriptive set theory, Baire spaces are more flexible than the real line in the following sense. Because the real line is path-connected, so is every continuous image of a real line. In contrast, every Polish space is the continuous image of Baire space. This difference makes the real line "slightly awkward to use ...
Whereas a quadric can be described as the zero-set of second order polynomial in Cartesian coordinates (x 1,x 2,x 3), a cyclide is given by the zero-set of a second order polynomial in (x 1,x 2,x 3,r 2), where r 2 =x 1 2 +x 2 2 +x 3 2. Thus it is a quartic surface in Cartesian coordinates, with an equation of the form: