Law of large numbersIn probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value and tends to become closer to the expected value as more trials are performed. The LLN is important because it guarantees stable long-term results for the averages of some random events.
Surface (mathematics)In mathematics, a surface is a mathematical model of the common concept of a surface. It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line. There are several more precise definitions, depending on the context and the mathematical tools that are used for the study. The simplest mathematical surfaces are planes and spheres in the Euclidean 3-space. The exact definition of a surface may depend on the context.
Times SquareTimes Square is a major commercial intersection, tourist destination, entertainment hub, and neighborhood in Midtown Manhattan, New York City, United States. It is formed by the junction of Broadway, Seventh Avenue, and 42nd Street. Together with adjacent Duffy Square, Times Square is a bowtie-shaped plaza five blocks long between 42nd and 47th Streets. Times Square is brightly lit by numerous digital billboards and advertisements as well as businesses offering 24/7 service.
