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In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology.In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain complexes take their terms in an abelian category, so that we can talk about cohomology, then the cone of a map f being acyclic means that the map is a quasi ...
A chain homotopy offers a way to relate two chain maps that induce the same map on homology groups, even though the maps may be different. Given two chain complexes A and B, and two chain maps f, g : A → B, a chain homotopy is a sequence of homomorphisms h n : A n → B n+1 such that hd A + d B h = f − g. The maps may be written out in a ...
Calf Studio Gear development started in late 2007 when the LV2 plugin standard was in its infancy. Calf Studio Gear was one of the first projects to bring graphical audio plugins to Linux. The first versions up to 0.0.19 included support for LADSPA and DSSI as well which was dropped in December 2011. The project was initiated by Krzysztof Foltman.
A Wardley map is a map for business strategy. [1] Components are positioned within a value chain and anchored by the user need, with movement described by an evolution axis. [ 2 ] Wardley maps are named after Simon Wardley who created the technique at Fotango in 2005 having created the evolutionary framing the previous year.
The boundary of a chain is the linear combination of boundaries of the simplices in the chain. The boundary of a k-chain is a (k−1)-chain. Note that the boundary of a simplex is not a simplex, but a chain with coefficients 1 or −1 – thus chains are the closure of simplices under the boundary operator.
This supported the introduction of Virtual Studio Technology Instrument (VSTi) format plugins. VST Instruments can act as standalone software synthesizers, samplers, or drum machines. [4] Neon [5] was the first available VST Instrument (included with Cubase VST 3.7). It was a 16-voice, 2-oscillator virtual analog synthesizer. [4]
Event Chain Diagrams - Two event chains, one of the triggers an activity. Event chains are shown as lines connecting arrows depicting events. Both curved line or line containing multiple straight segments are acceptable. If one event triggers another event, event chain lines will have an arrow, pointing to the triggered event.
In rural areas the roads were wider, up to 10 chains (201.2 m) where a stock route was required. 5 chains (100.6 m) roads were surveyed as major roads or highways between larger towns, 3 chains (60.4 m) roads between smaller localities, [20] and 2 chains (40.2 m) roads were local roads in farming communities. Roads named Three Chain Road etc ...