USS Advance (1862)

USS Advance, later known as the USS Frolic, was a blockade runner captured by the Union Navy during the closing years of the American Civil War. She was purchased by the Union Navy and outfitted as a gunboat and assigned to the blockade of the waterways of the Confederate States of America. She also served as dispatch ship and supply vessel when military action eventually slowed down.

Service with the Confederacy

The second United States Navy ship to be so named, Advance – a schooner-rigged, sidewheel steamer built at Greenock, Scotland, by Caird & Co. was launched on 3 July 1862 as the Clyde packet Lord Clyde – was jointly purchased by the state of North Carolina and the firm of Lord, Power & Co. to serve as a blockade runner during the Civil War. She was renamed A. D. Vance (in some sources written as "Advance") in honor of the Governor of North Carolina, Zebulon B. Vance. She completed more than 20 highly successful voyages and 40 close calls with Union ships standing blockade watches.

Advance (Australian motorcycle)

IJ Mitchell of Blyth, South Australia advertised Advance motorcycles built to order in 1905-06. At least one machine was registered.

References

Advance (English automobile)

The Advance was an English tricar producing 6 hp (4.5 kW) offered from 1902 to 1912 by a Northampton motorcycle manufacturer.

See also

External links

Dimension (song)

"Dimension" is a song by Australian hard rock band Wolfmother, featured on their 2005 debut studio album Wolfmother. Written by band members Andrew Stockdale, Chris Ross and Myles Heskett, it was released as the second single from the album in Europe (and the third single overall) on 17 April 2006, charting at number 49 on the UK Singles Chart.

Music video

Directed by The Malloys, the music video for "Dimension" was first aired in the week of 13 February 2006. Prior to this, the video was featured on the 2006 extended play (EP) Dimensions.

Critical reception

In a review of Wolfmother for Blender, writer Jonah Weiner identified "Dimension" as an example of the band "at [their] hardest", describing it as an "acid anthem".NME reviewer James Jam described the song as "a throb of gonzo metal not unlike Black Sabbath playing Motown".

Track listing

All songs written and composed by Andrew Stockdale, Chris Ross, Myles Heskett. 

References

Dimensional analysis

In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their fundamental dimensions (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms vs. grams) and tracking these dimensions as calculations or comparisons are performed. Converting from one dimensional unit to another is often somewhat complex. Dimensional analysis, or more specifically the factor-label method, also known as the unit-factor method, is a widely used technique for such conversions using the rules of algebra.

The concept of physical dimension was introduced by Joseph Fourier in 1822. Physical quantities that are commensurable have the same dimension; if they have different dimensions, they are incommensurable. For example, it is meaningless to ask whether a kilogram is less, the same, or more than an hour.

Any physically meaningful equation (and likewise any inequality and inequation) will have the same dimensions on the left and right sides, a property known as "dimensional homogeneity". Checking this is a common application of dimensional analysis. Dimensional analysis is also routinely used as a check on the plausibility of derived equations and computations. It is generally used to categorize types of physical quantities and units based on their relationship to or dependence on other units.

Krull dimension

In commutative algebra, the Krull dimension of a commutative ring R, named after Wolfgang Krull, is the supremum of the lengths of all chains of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. More generally the Krull dimension can be defined for modules over possibly non-commutative rings as the deviation of the poset of submodules.

The Krull dimension has been introduced to provide an algebraic definition of the dimension of an algebraic variety: the dimension of the affine variety defined by an ideal I in a polynomial ring R is the Krull dimension of R/I.

A field k has Krull dimension 0; more generally, k[x₁, ..., x_n] has Krull dimension n. A principal ideal domain that is not a field has Krull dimension 1. A local ring has Krull dimension 0 if and only if every element of its maximal ideal is nilpotent.

Explanation

We say that a chain of prime ideals of the form has length n. That is, the length is the number of strict inclusions, not the number of primes; these differ by 1. We define the Krull dimension of to be the supremum of the lengths of all chains of prime ideals in .