Prod
Prod or PROD may refer to:
Empty product
In mathematics, an empty product, or nullary product, is the result of multiplying no factors. It is by convention equal to the multiplicative identity 1 (assuming there is an identity for the multiplication operation in question), just as the empty sum—the result of adding no numbers—is by convention zero, or the additive identity.
The term "empty product" is most often used in the above sense when discussing arithmetic operations. However, the term is sometimes employed when discussing set-theoretic intersections, categorical products, and products in computer programming; these are discussed below.
Nullary arithmetic product
Justification
Let a1, a2, a3,... be a sequence of numbers, and let
be the product of the first m elements of the sequence. Then
for all m = 1,2,... provided that we use the following conventions: 
and 
. In other words, a "product" 
with only one factor evaluates to that factor, while a "product" 
with no factors at all evaluates to 1. Allowing a "product" with only one or zero factors reduces the number of cases to be considered in many mathematical formulas. Such "products" are natural starting points in induction proofs, as well as in algorithms. For these reasons, the "empty product is one convention" is common practice in mathematics and computer programming.
2011 Deutsche Tourenwagen Masters season
The 2011 Deutsche Tourenwagen Masters season is a multi-event motor racing series largely based in Germany for highly modified touring car racing cars and is one of the most popular sedan car based motor racing series in the world. The series features professional motor racing teams and drivers is heavily supported by car manufacturers Audi and Mercedes-Benz. Each race features 18 V8 powered racing cars built according to the technical regulations of the Deutsche Tourenwagen Masters. It will be the twelfth season of Deutsche Tourenwagen Masters since the series' resumption in 2000. The 2011 season will be the first season that cars will not run on Dunlop tyres, instead running on Hankook tyres in the first year of a three-year control-tyre deal. It was the final season running the 4-door saloon style spec cars, which has been the series' sole car requirements since 2004. It was also the final season that all DTM cars running with the manual gearbox shifters before all DTM cars switched to sequential semi-automatic gearbox paddle shifters at the following season.
DTM
DTM may refer to:
Sport
Computing
Medicine
Media
Deutsche Tourenwagen Masters
The Deutsche Tourenwagen Masters (DTM, German Touring Car Masters) is a silhouette racing car series based in Germany, but also with rounds elsewhere in Europe.
From 2000 onwards, this new DTM continued the former Deutsche Tourenwagen Meisterschaft (German Touring Car Championship) and ITC (International Touring Car Championship) which had been discontinued after 1996 due to high costs.
History
The new DTM 2000
During the ITC era a large proportion of the revenue generated by the championship went to the FIA, with the result that less went to the teams who subsequently complained of little return on their increasingly large investment in the high-tech series. Since 1997 many ideas have been discussed in order to find a compromise for rules of a new DTM. Opel put the primary emphasis on cost control, Mercedes-Benz supported expensive competitiveness in development, BMW wanted an international series rather than one focused on Germany only, while Audi insisted on allowing their trademark quattro four-wheel drive (despite running the rear wheel drive Audi R8) in sports car racing.
Mohawk hairstyle
The mohawk (also referred to as a mohican) is a hairstyle in which, in the most common variety, both sides of the head are shaven, leaving a strip of noticeably longer hair in the center. The mohawk is also sometimes referred to as an iro in reference to the Iroquois, from whom the hairstyle is derived - though historically the hair was plucked out rather than shaved. Additionally, hairstyles bearing these names more closely resemble those worn by the Pawnee, rather than the Mohawk, Mohican/Mahican, Mohegan, or other phonetically similar tribes. The red-haired Clonycavan man bog body found in Ireland is notable for having a well-preserved Mohawk hairstyle, dated to between 392 BCE and 201 BCE. It is today worn as an emblem of non-conformity. The world record for the tallest mohawk goes to Kazuhiro Watanabe, who has a 44.6-inch tall mohawk.
Name
While the mohawk hairstyle takes its name from the people of the Mohawk nation, an indigenous people of North America who originally inhabited the Mohawk Valley in upstate New York, the association comes from Hollywood and more specifically from the popular 1939 movie, Drums Along the Mohawk starring Henry Fonda.
Iro (Sudan)
Iro is a mountain in South Sudan. It is located in the state of Eastern Equatoria, in the south-eastern part of the country, 110 km southeast of the capital, Juba. The top of the Iro is 1091 meters above sea level.
The terrain around Iro is flat. The highest point is near Lokiri, 1691 meters above sea level and 5.4 km north of Iro. The area is sparsely populated. There are no communities nearby. In the neighbourhood around Iro are many unusually named mountains, significantly more within 20 km radius compared to the average prevalence of named those on Earth.
References
Podcasts:
