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Let P be the poset in the top figure. a. Find d D dim P. b. Find a realizer of P

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 58.1 Chapter 58

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 58.1

Let P be the poset in the top figure. a. Find d D dim P. b. Find a realizer of P containing d linear extensions. c. Give an embedding of P in R d (either via a picture or by specifying coordinates).

Step-by-Step Solution:
Step 1 of 3

L8 - 4 We are using an important result: If f and g are functions so that f(x)= g(x)ofrl x ▯= c, and x→c g(x)ei,enl x→c f(x)=m lx→c g(x). So if h(x)= f(x) and both f(x)a d g(x)apah0as g(x) 0 x → c, the indeterminate form 0,eusri techniques to find a function equivalent to h(x)extat x = c. √ ex. Evaluate: lim x − 12 − x x→3 x − 3

Step 2 of 3

Chapter 58, Problem 58.1 is Solved
Step 3 of 3

Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

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Let P be the poset in the top figure. a. Find d D dim P. b. Find a realizer of P