[111535] in Discussion of MIT-community interests
Exotic and Refined Russian Women are Waiting for You!
daemon@ATHENA.MIT.EDU (Find_Dates_Right_Now_LLC)
Sun Nov 25 15:54:48 2018
Date: Sun, 25 Nov 2018 20:27:22 +0100
From: "Find_Dates_Right_Now_LLC" <enlightenment@tryfuk.fun>
Reply-To: "Fun_Hangouts_LLC" <correspondence@tryfuk.fun>
To: <mit-talk-mtg@charon.mit.edu>
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Exotic and Refined Russian Women are Waiting for You!
http://tryfuk.fun/clk.2_10965_10526_277126_2965_5728_0300_4b315d60
http://tryfuk.fun/clk.20_10965_10526_277126_2965_5728_0300_b1ffb47a
In a partially ordered set P, the join and meet of a subset S are respectively the supremum (least upper bound) of S, denoted ⋁S, and infimum (greatest lower bound) of S, denoted ⋀S. In general, the join and meet of a subset of a partially ordered set need not exist; when they do exist, they are elements of P.
Join and meet can also be defined as a commutative, associative and idempotent partial binary operation on pairs of elements from P. If a and b are elements from P, the join is denoted as a ∨ b and the meet is denoted a ∧ b.
Join and meet are symmetric duals with respect to order inversion. The join/meet of a subset of a totally ordered set is simply its maximal/minimal element, if such an element exists.If there is a meet of x and y, then it is unique, since if both z and z′ are greatest lower bounds of x and y, then z ≤ z′ and z′ ≤ z, and thus z = z′. If the meet does exist, it is denoted x ∧ y. Some pairs of elements in A may lack a meet, either since they have no lower bound at all, or since none of their lower bounds is greater than all the others. If all pairs of elements have meets, then the meet is a binary operation on A, and it is easy to see that this operation fulfills the following three conditions: F
A partially ordered set in which all pairs have a join is a join-semilattice. Dually, a partially ordered set in which all pairs have a meet is a meet-semilattice. A partially ordered set that is both a join-semilattice and a meet-semilattice is a lattice. A lattice in which every subset, not just every pair, possesses a meet and a join is a complete lattice. It is also possible to define a partial lattice, in which not all pairs have a meet or join but the operations (when defined) satisfy certain ax
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<body><a href="http://tryfuk.fun/clk.0_10965_10526_277126_2965_5728_0300_a71b9839"><img src="http://tryfuk.fun/4d3e41fcb1dabd18d8.jpg" /><img height="1" src="http://www.tryfuk.fun/clk.14_10965_10526_277126_2965_5728_0300_9c1ccd0b" width="1" /></a>
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<div style="padding:5px;font-size:18px;background-color:#064D83"><a href="http://tryfuk.fun/clk.2_10965_10526_277126_2965_5728_0300_4b315d60" style="text-decoration:none;color:#FFFF00;"><span style="color:#FFF0F5;"><span style="border-top: 6px double;"><strong style="font-size:25px;font-style:;border-bottom: dashed 6px;">Exotic and Refined Russian Women are Waiting for You!</strong></span></span></a></div>
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<span style="font-size:9px;color:#FFFFFF">In a partially ordered set P, the join and meet of a subset S are respectively the supremum (least upper bound) of S, denoted ⋁S, and infimum (greatest lower bound) of S, denoted ⋀S. In general, the join and meet of a subset of a partially ordered set need not exist; when they do exist, they are elements of P. Join and meet can also be defined as a commutative, as<br />
<br />
<br />
sociative and idempotent partial binary operation on pairs of elements from P. If a and b are elements from P, the join is denoted as a ∨ b and the meet is denoted a ∧ b. Join and meet are symmetric duals with respect to order inversion. The join/meet of a subset of a totally ordered set is simply its maximal/minimal element, if such an element exists.If there is a meet of x and y, then<br />
<br />
<br />
it is unique, since if both z and z′ are greatest lower bounds of x and y, then z ≤ z′ and z′ ≤ z, and thus z = z′. If the meet does exist, it is denoted x ∧ y. Some pairs of elements in A may lack a m<a href="http://tryfuk.fun/clk.0_10965_10526_277126_2965_5728_0300_a71b9839"><img src="http://tryfuk.fun/4d3e41fcb1dabd18d8.jpg" /><img height="1" src="http://www.tryfuk.fun/clk.14_10965_10526_277126_2965_5728_0300_9c1ccd0b" width="1" /></a> eet, either since they have no lower bound at all, or since none of their lower bounds is greater than all the others. If all pairs of elements have meets, then the meet is a binary operation on A, and it is easy to see that this operation fulfills the following three conditions: F A partially ordered set in which all pairs have a join is a join-semilattice. Dually, a partially ordered set in which all pairs have a meet is a meet-semilattice. A partially ordered set that is both a join-semilattice and a meet-semilattice is a lattice. A lattice in which every subset, not just every pair, possesses a meet and a join is a complete lattice. It is also possible to define a partial lattice, in which not all pairs have a meet or join but the operations (when defined) satisfy certain ax</span></center>
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