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정의 다음이 주어졌다고 하자 연결 콤팩트 리 군의 복소화인 복소수 리 군;Problem yet, but we can now because p(↵)=0andp(↵)=c, it must be that c =0 Therefore, p(x)=(x↵)g(x)c =(x↵)g(x) That means that x↵ is a factor of p(x), which is what we wanted to check If ↵ is a root of p(x), then x↵ is a factor of p(x) Example It's easy to see that 1 is a root of p(x)=x3 1 Therefore, we know that xCopyright 11 Ooparts All Right Reserved @ @ @

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Gross domestic product (GDP) is a monetary measure of the market value of all the final goods and services produced in a specific time period GDP (nominal) per capita does not, however, reflect differences in the cost of living and the inflation rates of the countries;Definition A function p(x) n → is called a penalty function for P if p(x) satisfies • p(x)=0ifg (x) ≤ 0and • p(x) > 0ifg (x) ≤ 0 Example p(x)= (max{0,g i(x)})2 i=1 We then consider solving the following penalty program P(c) minimize f(x)cp(x) x st x ∈ n for an increasing sequence of constants c as c → ∞ Note that€(ƒ ight‹ƒ>€Ã€ü S ù1¡ÏŠ›t öœ Ÿ€{õt‡iŸH¢ør ± @éèuvu¢ œ)žÈ‰ š¡¢(t äž œû¦™ ê rnan ‚¥Xhœ0t i£Ò ci€¨ àŒiær‡ ¥ dŸ±mail€a£ósk‡x¡X¤Ôkund,§¨"Ø' ¢)lampƒ`¦ˆ˜ ¤øây¥x†H¨3aªðkel¡3‚‹riv"ð§b«Ðn J§rk €û¤'pappª€ª³i€štom«Øokumœ`ˆ»ator'øH§1ˆÁŠø¬(spe­q"k¡Ø

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