direct sum

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direct sum [də¦rekt ′səm]

(mathematics)

If each of the sets in a finite direct product of sets has a group structure, this structure may be imposed on the direct product by defining the composition “componentwise”; the resulting group is called the direct sum.

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No references found			of Dundee, Scotland) gently introduce the factorization theory of abelian groups, which deals with decomposing an abelian group into a direct sum of its subsets. Factoring groups into subsets by SciTech Book News Britain is the second largest net contributor to the EU budget, after only Germany, paying a direct sum of pounds 15bn per year for membership of the EU. Letter: What a waste of pounds 15bn by South Wales Echo (Cardiff, Wales) Mathematically this is the order 16 group that is the direct sum of four copies of [C. Magic word dice by Farrell, Jeremiah / Word Ways			direct reading direct realization direct recording Direct Reduction of Iron Ore direct reflection direct repeat direct resistance-coupled amplifier direct return system direct route direct scanning direct scattering theory direct screen halftone direct search direct selection direct sequence system direct simulation Monte Carlo Direct Social Labor direct solar radiation direct solar water-heating system direct sound direct sound level Direct Speech direct stratification direct stress direct stroke direct sum direct support artillery direct symbol recognition direct system direct tax direct thermal printer direct tide direct variation direct viewfinder direct voltage direct water heater direct wave direct-access library direct-access memory direct-access method direct-access storage direct-access storage device direct-acting pump direct-acting recorder direct-acting thermostat direct-address processing direct-aperture antenna direct-arc furnace direct-band-gap semiconductor direct-bonded bearing direct-chill casting			Direct Spark Ignition direct speech direct speech Direct Sputum Smear Microscopy Direct Station Selection Direct Station Selection / Busy Lamp Field Direct Steam Generation Direct Stock Plans Direct Stock Purchase Plan Direct Stock Purchase Plan Direct Stock Purchase Plans Direct Stock Purchase Program Direct Stock Purchase Programs Direct Stock-Purchase Plan Direct Stock-Purchase Plans Direct Stock-Purchase Program Direct stock-purchase programs Direct Store Delivery direct stratification Direct Stream Digital direct stress Direct Strip Production Complex direct stroke Direct Subscriber Line direct suggestion Direct Suggestion in Hypnosis direct sum Direct sum (Matrix) Direct sum of modules Direct sum of modules direct supervision direct supervision direct supervision direct supervision direct supervision Direct Supply Support Direct Supply Support Activity Direct Supply Support Point Direct Supply Support System direct support direct support Direct Support and Services direct support artillery direct support artillery Direct Support Aviation Section Direct Support Cost Direct Support Electrical System Test Direct Support Electrical System Test Set Direct Support Element Direct Support Engineering Directorate Direct Support Group Direct Support Maintenance Direct Support Maintenance Activity Direct Support Maintenance Company Direct Support Maintenance Unit Direct Support Manager Direct Support Operations

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