Define a complete lattice, Mathematics

Assignment Help:

Define a complete lattice and give one example.

Ans:  A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound and a least upper bound. Let A be set of all real numbers in [1, 5] and ≤ is relation of 'less than equal to'. Then, lattice (A, ≤) is a complete lattice.


Related Discussions:- Define a complete lattice

Quadrilateral, similarities between rectangle & parallelogram

similarities between rectangle & parallelogram

Example of learning to count, A parent shows his child four pencils. He pla...

A parent shows his child four pencils. He places them in a row in front of her and says "one" as he points to the first pencil, "two" as he points to the second one, "three" as he

How much area will it irrigate in 30 minutes , Water in a canal 30 dm wide ...

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?

Basic, is 1/6 same as six times less

is 1/6 same as six times less

Elimination technique of linear equations, What is the Elimination techniqu...

What is the Elimination technique of Linear Equations?

QUANITATIVE METHODS, COMMENT ON QUANTITATIVE TECHNIQUES IS A SCIENTIFIC AND...

COMMENT ON QUANTITATIVE TECHNIQUES IS A SCIENTIFIC AND FOR ENHANCING CREATIVE AND JUDICIOUS CAPABILITIES OF A DECISION MAKER

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd