add Surjektive & injektive Funktionen
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@ -168,6 +168,70 @@ $x in A arrow.l.r.double.long A in.rev x$
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],[Alle Elemente der Grundmenge G welche nicht in A sind.],
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)
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=== Kartesisches Produkt
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== Funktionen
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Definition
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=== Urbild & Bild
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=== Identität
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=== Surjektivität, Injektivität, Bijektivität
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#cetz.canvas({
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import cetz.draw: *
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rect((0, 0), (1, 4))
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content((0.5, 0.5), [1])
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content((0.5, 1.5), [2])
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content((0.5, 2.5), [3])
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content((0.5, 3.5), [4])
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rect((3, 0), (4, 3))
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content((3.5, 0.5), [a])
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content((3.5, 1.5), [b])
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content((3.5, 2.5), [c])
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line((1, 0.5), (3, 0.5), mark: (end: ">"), fill: black)
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line((1, 1.5), (3, 1.5), mark: (end: ">"), fill: black)
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line((1, 2.5), (3, 2.5), mark: (end: ">"), fill: black)
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line((1, 3.5), (3, 2.5), mark: (end: ">"), fill: black)
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})
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#cetz.canvas({
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import cetz.draw: *
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rect((0, 0), (1, 3))
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content((0.5, 0.5), [1])
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content((0.5, 1.5), [2])
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content((0.5, 2.5), [3])
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rect((3, 0), (4, 4))
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content((3.5, 0.5), [a])
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content((3.5, 1.5), [b])
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content((3.5, 2.5), [c])
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content((3.5, 3.5), [d])
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line((1, 0.5), (3, 0.5), mark: (end: ">"), fill: black)
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line((1, 1.5), (3, 1.5), mark: (end: ">"), fill: black)
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line((1, 2.5), (3, 2.5), mark: (end: ">"), fill: black)
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})
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#cetz.canvas({
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import cetz.draw: *
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rect((0, 0), (1, 4))
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content((0.5, 0.5), [1])
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content((0.5, 1.5), [2])
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content((0.5, 2.5), [3])
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content((0.5, 3.5), [4])
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rect((3, 0), (4, 4))
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content((3.5, 0.5), [a])
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content((3.5, 1.5), [b])
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content((3.5, 2.5), [c])
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content((3.5, 3.5), [d])
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line((1, 0.5), (3, 0.5), mark: (end: ">"), fill: black)
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line((1, 1.5), (3, 1.5), mark: (end: ">"), fill: black)
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line((1, 2.5), (3, 2.5), mark: (end: ">"), fill: black)
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line((1, 3.5), (3, 3.5), mark: (end: ">"), fill: black)
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})
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== Folgen, Reihen & Grenzwerte
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#pagebreak()
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// }}}
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