Since the invention of the MIDI system in the early 1980s, for example, some people have worked on programs which map MIDI notes to an algorithm and then can either output sounds or music through the computer's sound card or write an audio file for other programs to play.

Since all such bijections map an equivalence class onto itself, such bijections are also known as permutations.

Since the creation of the original LambdaMOO map, many users have expanded the MOO by making additional rooms with the command "@ dig.

Since a CPU designer could hardly guarantee where this code would be located in a future system, the 6809 design focused heavily on support of position-independent, reentrant code that could be freely located anywhere in the memory map.

Since φ is a positive linear map whose range, the complex numbers C, is a commutative C *- algebra, φ is completely positive.

Since then, the Forum has documented new insights derived from this timeline and subsequent discoveries in permanent resources including the exhibit An Uncommon Commitment to Peace, and its companion catalogue, recognized by the Library of Congress as the most accessible educational resource on the subject, a Portsmouth Peace Treaty Trail ( and map supported by the New Hampshire Division of Tourism ), a curriculum guide for grades 4-8 distributed to all school districts in New Hampshire, a series of New Hampshire Humanities Council lectures and articles on the Treaty and New Hampshire's citizen diplomacy and a variety of commemorative events.

Since any map projection is a representation of a sphere's surface on a plane, all map projections distort.

Since the inception of the festival, however, Oatmeal is back on the map.

Since the normal is specified directly instead of derived from a height map this method usually leads to more predictable results.

Since exiting the series that put her on the map, Carteris has worked regularly as an actor and voice over artist, amassing a considerable amount of post-90210 credits in television, film, and video games.

Since all users must have read access to the < tt >/ etc / passwd </ tt > file to do many common tasks (< tt > ls-l / home </ tt > will use < tt >/ etc / passwd </ tt > to map UIDs to login names for example ), anyone could also read the password hashes of other users.

Since then, many subsequent mapmakers adopted this name for it, though cartographer Vincenzo Coronelli is thought to have introduced the more commonly used spelling of Toronto in a map he created in 1695.

Since May 2004, " The Map " ( the official MTA map ) shows the Rockaway Park Shuttle as carrying a grey bullet.

Since Francis was to become eminent in nautical maps, it is noteworthy that Francis's father created and published a new map of Ireland in 1792.

:* There exists a linear antimultiplicative map κ: C < sub > 0 </ sub > → C < sub > 0 </ sub > ( the coinverse ) such that for all v ∈ C < sub > 0 </ sub > and where I is the identity element of C. Since κ is antimultiplicative, then for all.

Since it is a collection of trees, and trees are contractible, consider the space where the equivalence relation is generated by if they are contained in a common tree in the maximal forest F. The quotient map is a homotopy equivalence.

Since the early 1950s, the station name has been spelled with an apostrophe on the tube map although the name of the local area is generally spelled without.

Since the knot complement is Seifert fibred with boundary, it has a horizontal incompressible surface -- this is also the fiber of the Milnor map.

Since only basic GIS information is included, if AVL was available, it would simply display service vehicle locations on a map.

Since functors are required to preserve composition, this says that the linear map corresponding to a sewn together morphism is just the composition of the linear map for each piece.

Since every map from a discrete space is continuous, the topological homomorphisms between discrete groups are exactly the group homomorphisms between the underlying groups.

Since 2000, there have also been complete recordings issued or re-issued of the operas Axur Re d ' Ormus, Falstaff, Les Danaïdes, La Locandiera, La grotta di Trofonio, Prima la musica e poi le parole and Il mondo alla rovescia.

Since the 2002 civil war in Côte d ' Ivoire, relations between it and Burkina Faso have been filled with accusations of Burkinabé support for rebels on one side and claims of mistreatment of Burkinabé workers on the other .< ref > Blaise Campaoré :<< La crise ivoirienne inquiète le Burkina >>, Le Figaro, December 11, 2005 </ ref > Côte d ' Ivoire remains Burkina Faso's largest regional trading partner in spite of their disputes and tens of thousands of Burkinabés continue to work in the Ivory Coast.

Since then, the Air Force of Côte d ' Ivoire has been rebuilt.

Since then, the country has had two presidents: Francisco Macías Nguema, the former mayor of Mongomo under the Spanish colonial government, and Teodoro Obiang Nguema Mbasogo ( Macías's nephew ), who has ruled since 1979 when he staged a military coup d ' état and executed Macías.

Since the 2008 Guinean coup d ' état, the head of state has been Captain Moussa Dadis Camara, an army officer and President of the National Council for Democracy and Development.

Since the stopping force F times that distance must be equal to the head's kinetic energy, it follows that F will be much greater than the original driving force f — roughly, by a factor D / d.

Since September 2010, the Parliament of Catalonia has considered Aranese Occitan to be the officially preferred language for use in the Val d ' Aran.

Since the mid-19th century, Paris has been known as Paname () in the Parisian slang called argot ( File: ltspkr. png Moi j ' suis d ' Paname, i. e. " I'm from Paname ").

* Regional councillor of Provence-Alpes-Côte d ' Azur: 1992-2000 ( sentenced by the courts in 2000 ) / Since 2010.

Since every element of C < sub > n </ sub > generates a cyclic subgroup and the subgroups of C < sub > n </ sub > are of the form C < sub > d </ sub > where d | n, the formula follows.

Since the 1930s, however, coups d ' état have disrupted this democracy.

Since 1872 the École française d ' Athènes (" French School of Athens ") has been excavating the island, the complex of buildings of which compares with those of Delphi and Olympia.

Since 1840, the Château d ' Amboise has been listed as a monument historique by the French Ministry of Culture.

* Since p is surjective, there exists an element d in D with p ( d )

* Since q is injective, j ( d )

Since Mauregatus had ascended the throne in a coup d ' état with regional support in 783 and the succession of Bermudo proceeded without incident, it is probable that Mauregatus had procured a change in the ranks of the palatine nobility and that Bermudo was thus put forward as the candidate to, like Mauregatus, prevent the succession of Alfonso II, the son and heir of Fruela I.

Since c depended on a series of reals A < sub > 3 </ sup >+ A < sub > 3 </ sup >+ A < sub > 3 </ sup > ... in connection with A, and d may be said similarly to depend on a series A < sub > 4 </ sup >+ A < sub > 4 </ sup >+ A < sub > 4 </ sup > ..., then the change from c to d means, not that the central real A or any real has changed, but that A is now in connection with A < sub > 4 </ sup >, etc., and no longer in connection with A < sub > 3 </ sup >, etc.

* Drummond, R. Paul ( n. d .) A Portion for the Singers: A History of Music Among Primitive Baptists Since 1800.

Senator of Val d ' Oise: Since 2004.

Since it puts a premium on conscious understanding of the case, the party restricts membership to those who can pass a membership test on the party's policies and principles.

Since the Special Arrangement for Preservation of Historic Sites Law ( 1966 ) restricts any visual changes in the areas which it concerns, it has directly affected the daily life of residents.

Since 2007 Consistory Court and local authority guidance now restricts the force used in a topple test and requires an authority to consult relatives before moving a stone.

Since the baffle restricts flow, they're not recommended where full, unobstructed flow is required.