Illusion

An illusion is a distortion of the senses, revealing how the brain normally organizes and interprets sensory stimulation. Though illusions distort reality, they are generally shared by most people. Illusions may occur with any of the human senses, but visual illusions (optical illusions), are the most well-known and understood. The emphasis on visual illusions occurs because vision often dominates the other senses. For example, individuals watching a ventriloquist will perceive the voice is coming from the dummy since they are able to see the dummy mouth the words. Some illusions are based on general assumptions the brain makes during perception. These assumptions are made using organizational principles (e.g., Gestalt theory), an individual's capacity for depth perception and motion perception, and perceptual constancy. Other illusions occur because of biological sensory structures within the human body or conditions outside of the body within one’s physical environment.

The term illusion refers to a specific form of sensory distortion. Unlike a hallucination, which is a distortion in the absence of a stimulus, an illusion describes a misinterpretation of a true sensation. For example, hearing voices regardless of the environment would be a hallucination, whereas hearing voices in the sound of running water (or other auditory source) would be an illusion.

Faith Hill

Faith Hill (born Audrey Faith Perry; September 21, 1967) is an American country pop singer and occasional actress. She is one of the most successful country artists of all time, having sold more than 40 million albums worldwide. Hill is married to country singer Tim McGraw, with whom she has recorded several duets.

Hill's first two albums, Take Me as I Am (1993) and It Matters to Me (1995), were major successes and placed a combined three number ones on Billboard's country charts. She then achieved mainstream and crossover success with her next two albums, Faith (1998) and Breathe (1999). Faith spawned her first international hit, "This Kiss", and went multi-platinum in various countries. Breathe became her best-selling album to date and one of the best-selling country albums of all time, with the huge crossover success of the songs "Breathe" and "The Way You Love Me". It had massive sales worldwide and earned Hill three Grammy Awards, including Best Country Album.

In 2001, she recorded "There You'll Be" for the Pearl Harbor soundtrack and it became an international hit and her best-selling single in Europe. Hill's next two albums, Cry (2002) and Fireflies (2005), were both commercial successes and kept her mainstream popularity; the former spawned another crossover single, "Cry", which won Hill a Grammy Award, and the latter produced the hit singles "Mississippi Girl" and "Like We Never Loved at All", which earned her another Grammy Award.

Illusion (UK band)

Illusion were a British band formed in 1977. They released two albums, Out of the Mist and Illusion on Island Records. Their music was classically inspired, sophisticated, and polished. The band undertook a number of tour dates but found their style of music out of fashion with the rise of punk rock and disbanded.

Illusion were intended to be a reunion of the original line-up of Renaissance (whose second album was titled Illusion), but singer and guitarist Keith Relf died before the project was realised. Jim McCarty moved from drums to play acoustic guitar and share vocals with Jane Relf, while Eddie McNeill replaced him on drums and John Knightsbridge took Keith Relf's place as guitarist following his death.

In 2001 the four core members issued Through the Fire, an album of new material under the name Renaissance Illusion, but did not play any concerts in support of the album.

Members

Dimension (data warehouse)

A dimension is a structure that categorizes facts and measures in order to enable users to answer business questions. Commonly used dimensions are people, products, place and time.

In a data warehouse, dimensions provide structured labeling information to otherwise unordered numeric measures. The dimension is a data set composed of individual, non-overlapping data elements. The primary functions of dimensions are threefold: to provide filtering, grouping and labelling.

These functions are often described as "slice and dice". Slicing refers to filtering data. Dicing refers to grouping data. A common data warehouse example involves sales as the measure, with customer and product as dimensions. In each sale a customer buys a product. The data can be sliced by removing all customers except for a group under study, and then diced by grouping by product.

A dimensional data element is similar to a categorical variable in statistics.

Typically dimensions in a data warehouse are organized internally into one or more hierarchies. "Date" is a common dimension, with several possible hierarchies:

Dimension (vector space)

In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.

For every vector space there exists a basis, and all bases of a vector space have equal cardinality; as a result, the dimension of a vector space is uniquely defined. We say V is finite-dimensional if the dimension of V is finite, and infinite-dimensional if its dimension is infinite.

The dimension of the vector space V over the field F can be written as dim_F(V) or as [V : F], read "dimension of V over F". When F can be inferred from context, dim(V) is typically written.

Examples

The vector space R³ has

as a basis, and therefore we have dim_R(R³) = 3. More generally, dim_R(Rⁿ) = n, and even more generally, dim_F(Fⁿ) = n for any field F.

The complex numbers C are both a real and complex vector space; we have dim_R(C) = 2 and dim_C(C) = 1. So the dimension depends on the base field.

The only vector space with dimension 0 is {0}, the vector space consisting only of its zero element.

Dimension (shampoo)

Dimension Shampoo was a heavily perfumed shampoo product, which was produced in the early 1980s. This was by the personal products division of Lever Brothers, and marketed by Ogilvy. The shampoo came in a distinctive dark yellow bottle, and left a strong muskone and civetone aroma on the hair. There was also a companion conditioner marketed with this product. It has been stated by many previous users of dimension shampoo that it caused their hair to fall out, due to the extreme astringency of the product.

On April 18, 1985, Lever Brothers reorganized their marketing structure and moved their personal products division business to J. Walter Thompson.

At the time, Dimension was a highly popular brand. (Lever spent an estimated $12.5M in advertising the brand in 1984.) However, shortly after Lever's marketing reorganization, Dimension ran-out on store shelves, and never returned. Lever Brothers never made any public explanation for the disappearance of the product; although they referred to the marketing reorganization as a consolidation of the personal products brands, and stated that the decision in-part had to do with its plans for international marketing.