Exponential functionThe exponential function is a mathematical function denoted by or (where the argument x is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The exponential function originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all real arguments, including irrational numbers.
Climate as complex networksThe field of complex networks has emerged as an important area of science to generate novel insights into nature of complex systems The application of network theory to climate science is a young and emerging field. To identify and analyze patterns in global climate, scientists model climate data as complex networks. Unlike most real-world networks where nodes and edges are well defined, in climate networks, nodes are identified as the sites in a spatial grid of the underlying global climate data set, which can be represented at various resolutions.
Randy NewmanRandall Stuart Newman (born November 28, 1943) is an American singer-songwriter, arranger, composer, and pianist known for his non-rhotic Southern-accented singing style, early Americana-influenced songs (often with mordant or satirical lyrics), and various film scores. His hits as a recording artist include "Short People" (1977), "I Love L.A." (1983), and "You've Got a Friend in Me" (1995) with Lyle Lovett, while other artists have enjoyed success with cover versions of his "Mama Told Me Not to Come" (1966), "I Think It's Going to Rain Today" (1968) and "You Can Leave Your Hat On" (1972).
Stochastic block modelThe stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized by being connected with one another with particular edge densities. For example, edges may be more common within communities than between communities. Its mathematical formulation has been firstly introduced in 1983 in the field of social network by Paul W. Holland et al.
Neuro-fuzzyIn the field of artificial intelligence, the designation neuro-fuzzy refers to combinations of artificial neural networks and fuzzy logic. Neuro-fuzzy hybridization results in a hybrid intelligent system that combines the human-like reasoning style of fuzzy systems with the learning and connectionist structure of neural networks. Neuro-fuzzy hybridization is widely termed as fuzzy neural network (FNN) or neuro-fuzzy system (NFS) in the literature.
Characterizations of the exponential functionIn mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent of and equivalent to each other. As a special case of these considerations, it will be demonstrated that the three most common definitions given for the mathematical constant e are equivalent to each other.
Computer artComputer art is any art in which computers play a role in production or display of the artwork. Such art can be an image, sound, animation, video, CD-ROM, DVD-ROM, video game, website, algorithm, performance or gallery installation. Many traditional disciplines are now integrating digital technologies and, as a result, the lines between traditional works of art and new media works created using computers has been blurred. For instance, an artist may combine traditional painting with algorithm art and other digital techniques.
Architectural renderingArchitectural rendering, architectural illustration, or architectural visualization (often abbreviated to archviz or ArchViz) is the art of creating three-dimensional images or animations showing the attributes of a proposed architectural design. Images that are generated by a computer using three-dimensional modeling software or other computer software for presentation purposes are commonly termed "Computer Generated Renderings". Rendering techniques vary. Some methods create simple flat images or images with basic shadows.
