Musical set theory provides concepts for categorizing musical objects and describing their relationships. Many of the notions were first elaborated by HowardHanson (1960) in connection with tonal music, and then mostly developed in connection with atonal music by theorists such as AllenForte (1973), drawing on the work in twelve-tone theory of Milton Babbitt. The concepts of set theory are very general and can be applied to tonal and atonal styles in any equally tempered tuning system, and to some extent more generally than that.
One branch of musical set theory deals with collections (sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, inversion, and complementation. The methods of musical set theory are sometimes applied to the analysis of rhythm as well.
Mathematical set theory versus musical set theory
Although musical set theory is often thought to involve the application of mathematical set theory to music, there are numerous differences between the methods and terminology of the two. For example, musicians use the terms transposition and inversion where mathematicians would use translation and reflection.
Furthermore, where musical set theory refers to ordered sets, mathematics would normally refer to tuples or sequences (though mathematics does speak of ordered sets, and although these can be seen to include the musical kind in some sense, they are far more involved).
The invasion commenced with an overwhelming air attack on Belgrade and facilities of the Royal Yugoslav Air Force (VVKJ) by the Luftwaffe (German Air Force) and attacks by German land forces from southwestern Bulgaria. These attacks were followed by German thrusts from Romania, Hungary and the Ostmark. Italian forces were limited to air and artillery attacks until 11 April, when the Italian army attacked towards Ljubljana (in modern-day Slovenia) and through Istria and Lika and down the Dalmatian coast. On the same day, Hungarian forces entered Yugoslav Bačka and Baranya, but like the Italians they faced practically no resistance. A Yugoslav attack into the northern parts of the Italian protectorate of Albania met with initial success, but was inconsequential due to the collapse of the rest of the Yugoslav forces.
O21 (or Operation 21 formerly The Extortionist) is a 2014 Pakistanispythriller film, directed by Jami, co-directed by Summer Nicks and produced by Zeba Bakhtiar and her son Azaan Sami Khan. It is the first spy action thriller movie from Pakistan.
The film, produced by One Motion Pictures, is based on a screenplay by the international award winning writer, Summer Bodhi Nicks. Zeba Bakhtiar is the film’s executive producer and the lead roles are played by Aamina Sheikh, winner of the best actress prize at the New York International Film Festival, the renowned actor Shaan Shahid who has received accolades through countless Pakistani blockbusters, most recently Waar. O21 is the 576th feature film of Shaan's career.
Plot outline
Abdullah (Ayub Khoso), after 30 years of war in Afghanistan, wants to save his country from another 50 years of corporate warfare. He works with his Pakistani ally Kashif Siddiqui (Shaan Shahid) to save the two neighboring countries from further turmoil through a plan that could risk the lives of them and their families. A plan that has 21 hours to be executed.
Mind is a mental healthcharity in England and Wales. Founded in 1946 as the National Association for Mental Health (NAMH), it celebrated its 60th anniversary in 2006.
Mind offers information and advice to people with mental health problems and lobbies government and local authorities on their behalf. It also works to raise public awareness and understanding of issues relating to mental health. Since 1982, it has awarded an annual prize for "Book of the Year" having to do with mental health, in addition to three other prizes
Over 180 local Mind associations (independent, affiliated charities) provide services such as supported housing, floating support schemes, care homes, drop-in centres and self-help support groups. Local Mind associations are often very different in size, make up and character—it is a common misconception that they all work to the same policy and procedural framework. Mind is a national brand but all local associations are unique, although they do all sign up to certain shared aims and ethical guidelines.
Mind42 is an online mind mapping application that allows users to visualize their thinking using the provenmind mapping method. The name refers to the collaborative features of the product, and is intended to be pronounced like "mind for two." It has been recommended by Freelance Weekly as one of their favorite time-management and organization tools.
Features
The developer provides the full feature set of Mind42 free of charge, including:
Ability to insert images from URLs (i.e. images hosted at another site, such as ImageShack or Picasa Web Albums);
URL links to external websites;
Real-time collaboration and editing, utilizing the Google Talk gadget;
Mind map size limited only by available RAM and processing power;
The optional ability to publicly publish mind maps or keep them private;
The ability to add notes to branches;
Export to Freemind, Mindmanager, Mind42 XML, PDF, image and rich text;
Import from Freemind, Mindmanager, Mind42 XML.
Criticisms
Criticisms of Mind42 include the lack of offline editing ability, the lack of a mobile version and the limitation that only creators of mind maps, but not collaborators, can view and restore previous revisions of a mind map.
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.
Typically dimensions in a data warehouse are organized internally into one or more hierarchies. "Date" is a common dimension, with several possible hierarchies:
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 gonzometal not unlike Black Sabbath playing Motown".
While Southgate has described Trippier as a ‘solider’, Shaw demonstrated the value of a naturally left-footed player operating down that flank, adding width and an extra dimension in attack.
This degree of intelligence and adaptability gives them peace of mind that their renewable energy system is operating to its maximum capacity. Additionally, the SUN-12K-SG04LP3-EU was made with durability in mind.
He expressed his hope that the cultural issue would receive more support and deeper research from the GeneralSecretariat of the Gulf Co-operation Council, especially in light of the individual ...
First as organizations we are more inclined to operate in silos and this has consequence in how we engage customers ... We must use relevant data for each step in the process and also be mindful of the financial dimensions as well.
WILMINGTON, Del., Jan ...Brian continued, "it's essential to secure the best minds to achieve our goals. As CFO, Tim is charged with ensuring our operation, in numerous dimensions, is primed for continued growth and expansion ... About RiversEdge Advisors.
