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@sinbad989
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about 7 years ago
drugwars-fight
Check my latest fight ! ophro vs sinbad989
@sinbad989
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over 7 years ago
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@sinbad989
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almost 8 years ago
mathematics
Elements of Set Theory: Ordering on Natural Numbers
Ordering on Natural Numbers Previously, we have defined natural numbers that was a side effect of our spurious definition, e.g. !(https://
@sinbad989
0
almost 8 years ago
mathematics
Elements of Set Theory: Arithmetic
Arithmetic We can apply recursion theorem, from the previous section, to define addition and multiplication on !(
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Recursion on Natural Numbers
Consider the situation where I want you to guess the function such that I only give you two information; that is, a starting value !(ht
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Peano's Postulates
!( Hi! I'm Giuseppe Peano, I introduce Peano
@sinbad989
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about 8 years ago
mathematics
Elements of Set Theory: Inductive Sets
In mathematics, there are two ways of introducing new objects for study, axiomatic approach (e.g. the one we have used for sets) The
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Ordering Relations
Elements of Set Theory: Ordering Relations From the first section of this chapter, we've covered about the ordering relation of the ordere
@sinbad989
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about 8 years ago
mathematics
Elements of Set Theory: Equivalence Relations
Consider a set A given by a figure in (a), say we want to partition it into six boxes as in (b). !1528783412413.png(
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Infinite Cartesian Products
We've encountered in previous section Cartesians products of two sets, this time we will show that we can form something like the Cartesian
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Functions
In most calculus books a function is introduced as a rule that assigns to each object in a certain set (domain) a unique object in a possibl
@sinbad989
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about 8 years ago
mathematics
Elements of Set Theory: n-ARY relations
Elements of Set Theory: n-ARY relations You might be wondering why do relations only have to do with ordered pairs. We can actually extend
@sinbad989
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about 8 years ago
mathematics
Elements of Set Theory: Relations
Elements of Set Theory: Relations First let's consider some examples. The ordering relation < on the set !(
@sinbad989
0
about 8 years ago
mathematics
Elements of Set Theory: Ordered Pairs
Elements of Set Theory: Ordered Pairs Consider the following pair set: !(
@sinbad989
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about 8 years ago
mathematics
Elements of Set Theory: Algebra of Sets
Elements of Set Theory: Algebra of Sets The two basic operation on sets are operation of union !(
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