- #1
sniffer
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- 0
ehm, sorry, i am a beginner in set theory. learning on my own.
for cartesian product ordered pair, for example
[itex] A = \{a_1, a_{2}, a_{3}\} \\
B = \{b_{1}, b_{2}, b_{3}\} [/itex]
is the product [itex] A \times B = \{a_{1}b{1}, a_{1}b{2}, a_{1}b{3}, a_{2}b{1}, \\
a_{2}b{2}, a_{2}b{3}, a_{3}b{1}, a_{3}b{2}, a_{3}b{3},\} [/itex] ??
What does [itex] A \times B = \{(a,b)\mid a \in A and b \in B\} [/itex] mean in detail?
thanks.
for cartesian product ordered pair, for example
[itex] A = \{a_1, a_{2}, a_{3}\} \\
B = \{b_{1}, b_{2}, b_{3}\} [/itex]
is the product [itex] A \times B = \{a_{1}b{1}, a_{1}b{2}, a_{1}b{3}, a_{2}b{1}, \\
a_{2}b{2}, a_{2}b{3}, a_{3}b{1}, a_{3}b{2}, a_{3}b{3},\} [/itex] ??
What does [itex] A \times B = \{(a,b)\mid a \in A and b \in B\} [/itex] mean in detail?
thanks.