injective, surjective, bijective?
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(a) Suppose f is NOT injective, that is, f( x') = f(x'') for some x' and x'' in X. Then also g(f( x')) = g(f( x'')), which means that g o f is NOT injective. (This is proof by transposition: instead of showing directly that A implies B, we show that Not B implies Not A.)\n\n(b) Take any t in T. Then t = g(f(x)) for some x (since g o f is surjective). This means that t = g(y) for some y, namely, for y = f(x). So g is surjective.\n\n(c) By Part (a), f is injective. By Part (b), applied to f o g in place of g o f, f is surjective. Beig both injective and surjective, f is bijective.
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noun - a person, place, or thing\npronoun - takes the place of a noun\nadjective - describes a noun or a pronoun\nverb - tells an action or a condition\nadverb - describes adveerbs, adjectives, and verbs\nprepostition - relates a part of a sentence to another\nconjunction - connects parts of a sentence\ninterjection - expresses feelings
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Attractive\nAssertive\nNubile\nNurturing\nAstute\nAngelic
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Dirty\nLazy\nWimps\nBitchy\nCowards
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I'll give you a few in case you don't like some.\n\nParadoxical\nVigorous\nEmotional\nIntellectual\nTransitional\nMetaphoric\nTemporary\nFleeting\nDestructive\nIronic\nDelicate\nBeautiful\nPathetic
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2 + (a + b)\ngiven\n\n2 + (b + a)\ncommutative prop. of addition\n\n(2 + b) + a\nassociative prop. of addition\n\n(b + 2) + a\ncommutative prop. of addition\n\nb + (2 + a)\nassociative prop. of addition\n\n^_^
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Passive\nAssertive\naggressive
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Eight\nFive\nFour\nNine\nOne\nSeven\nSix\nThree\nTwo\nZero\n\nAlphabetical order ;)
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f injective means x=y => f(x)=f(y)  same is true for g(x) because it too is injective\n\n\nx=y => f(x)=f(y) definition of f is injective\nf(x)=f(y) => g(f(x))=g(f(y)) definition of g is injective\nthus we assert that x=y =>(g o f)(x) = (g o f)(y) and hence the composition is injective as well
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1. False\n2. True\n3. False\n4. Flase\n5. False\n6. False\n7. True\n8. True\n9. Surrender (I believe the word is actually submission)
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1. p'q\n\n2. p'\n\n3. pq' + p'\n\nI think i got the correct ones !
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Flow\nFloss\nFloral\nFloran\nFlorances
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match\nequivalent\nlike\nalike\ntotal\nequate
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The order of operations are :\nParenthesis\nExponents\nMultiply\nDivide\nAdd\nSubtract
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F ather\nA nd\nM other\nI\nL ove\nY ou
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our\nhour\ndour\nshod\nrush
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you can go to http://grammar.uoregon.edu/verbs/transitive.html\nand http://grammar.uoregon.edu/verbs/intransitive.html to have a look.