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18 MGBE. [20.
Ọnụ ego nke AQ PQA. Ma ahịrị-njikọ nke ụzọ mechiri emechi bụ efu, n'ebe ahụ n'ihi na ndị nke ụzọ abụọ hà nhata.
N'ihi ya, ọ bụrụ na e nyere ikike n'oge ọ bụla nke dị otú ahụ a mpaghara, na n'ebe ọ bụla ọzọ bụ determinate.
20.] THEOREM II. Na cyclic mpaghara nke nhata
Xdx+Ydy + Zdz = -D*
na-emezu n'ebe nile, akara-integral si, A ruo P, tinyere a ahịrị dọtara n'ime mpaghara, agaghị n'ozuzu ga-ekpebisi ike Ọ gwụla ma a ga-akọwapụta ọwa nkwukọrịta n'etiti A na P,
Ka K bụrụ ọnụ ọgụgụ cyclomatic nke mpaghara, wee K ngalaba Enwere ike ime mpaghara ahụ site na elu nke anyị nwere ike ịkpọ Dia phragms, ka emechie K nke ọwa nkwukọrịta, ma belata mpaghara ahụ na ọnọdụ acyclic na-enweghị ibibi aga n'ihu ya.
Ahịrị-nke sitere na A ruo n'ókè ọ bụla P were n'ahịrị nke na-adịghị ebipụ nke ọ bụla n'ime diaphragms ndị a ga-abụ, n'ikpeazụ theorem, determinate na uru.
Ugbu a, ka A na P were ruo mgbe ebighị ebi nso, ma n'akụkụ nke ọzọ nke diaphragm, ma ka K bụrụ akara na-ejikọta site A ruo P.
Ka A na P bụrụ isi ihe abụọ ọzọ n'akụkụ nke ọzọ nke otu diaphragm na ebighi ebi nso ibe ya, ka K bụrụ nke ahịrị-integral si A ruo F. Mgbe ahụ K = K.
N'ihi na ọ bụrụ na anyị na-ese AA na PP 7 , fọrọ nke nta ka ọ dabara, ma na-abụghị akụkụ nke diaphragm, ahịrị-integrals aloug ndị a ahịrị ga-abụ nhata. Ka e were ya na nke ọ bụla hà nhata Z, mgbe ahụ akara-intenet nke A P* bụ hà nhata nke A A + AP + PP= -L+K+L = K = nke AP.
N'ihi ya, ahịrị-integral gburugburu a mechiri emechi curve nke na-agafe otu diaphragm nke usoro na ntụziaka enyere bụ mgbe niile quantity K. A na-akpọ ọnụọgụ nke a corre cyclic na-akwado okirikiri nyere.
Ka adọta akụkụ ọ bụla mechiri emechi n'ime mpaghara, ma hapụ ya diaphragm nke mbụ okirikiri p ugboro na nti direction na p ugboro n'ụzọ ọjọọ, ka p p =% . Mgbe ahụ ahịrị-mgbagwoju anya nke mechiri emechi ga-abụ% K r
N'otu aka ahụ, ahịrị-mgbe ọ bụla mechiri emechi ga-abụ
ebe n K na-anọchi anya ngafe nke ọnụ ọgụgụ dị mma nke usoro site na diaphragm nke okirikiri K n'elu ọnụ ọgụgụ nke akụkụ ndị na-adịghị mma.
