Non-uniform discrete Fourier transformIn applied mathematics, the nonuniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both). It is a generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging, and the numerical solution of partial differential equations.
Christian musicChristian music is music that has been written to express either personal or a communal belief regarding Christian life and faith. Common themes of Christian music include praise, worship, penitence and lament and it's forms vary widely around the world. Church music, hymnals, gospel and worship music are a part of Christian media and also include contemporary Christian music which itself supports numerous Christian styles of music, including hip hop, rock, contemporary worship and urban contemporary gospel.
Elements of musicMusic can be analysed by considering a variety of its elements, or parts (aspects, characteristics, features), individually or together. A commonly used list of the main elements includes pitch, timbre, texture, volume, duration, and form. The elements of music may be compared to the elements of art or design. According to Howard Gardner, there is little dispute about the principal constituent elements of music, though experts differ on their precise definitions.
Video gameA video game or computer game is an electronic game that involves interaction with a user interface or input device (such as a joystick, controller, keyboard, or motion sensing device) to generate visual feedback from a display device, most commonly shown in a video format on a television set, computer monitor, flat-panel display or touchscreen on handheld devices, or a virtual reality headset. Most modern video games are audiovisual, with audio complement delivered through speakers or headphones, and sometimes also with other types of sensory feedback (e.
Fourier transformIn physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.
Fourier analysisIn mathematics, Fourier analysis (ˈfʊrieɪ,_-iər) is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a function as a sum of trigonometric functions greatly simplifies the study of heat transfer. The subject of Fourier analysis encompasses a vast spectrum of mathematics.
Experimental musicExperimental music is a general label for any music or music genre that pushes existing boundaries and genre definitions. Experimental compositional practice is defined broadly by exploratory sensibilities radically opposed to, and questioning of, institutionalized compositional, performing, and aesthetic conventions in music. Elements of experimental music include indeterminacy, in which the composer introduces the elements of chance or unpredictability with regard to either the composition or its performance.
Discrete Fourier transform over a ringIn mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform (DFT), of a function whose values are commonly complex numbers, over an arbitrary ring. Let R be any ring, let be an integer, and let be a principal nth root of unity, defined by: The discrete Fourier transform maps an n-tuple of elements of R to another n-tuple of elements of R according to the following formula: By convention, the tuple is said to be in the time domain and the index j is called time.
Fast Fourier transformA fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing a sequence of values into components of different frequencies. This operation is useful in many fields, but computing it directly from the definition is often too slow to be practical.
Broadway theatreBroadway theatre, or Broadway, are the theatrical performances presented in the 41 professional theatres, each with 500 or more seats, located in the Theater District and the Lincoln Center along Broadway, in Midtown Manhattan, New York City. Broadway and London's West End together represent the highest commercial level of live theater in the English-speaking world. While the thoroughfare is eponymous with the district and its collection of 41 theaters, and it is closely identified with Times Square, only three of the theaters are located on Broadway itself, namely the Broadway Theatre, the Palace Theatre, and the Winter Garden Theatre.