MATH 160 MIDTERM SOLUTIONS
... required in this problem. (a) There exist integers x and y satisfying 709x + 100y = 4. TRUE, since gcd(709, 100) = 1, which divides 4. (The gcd can be computed using the Euclidean algorithm, or by observing that the only prime factors of 100 are 2 and 5, neither of which divides 709.) (b) Starting f ...
... required in this problem. (a) There exist integers x and y satisfying 709x + 100y = 4. TRUE, since gcd(709, 100) = 1, which divides 4. (The gcd can be computed using the Euclidean algorithm, or by observing that the only prime factors of 100 are 2 and 5, neither of which divides 709.) (b) Starting f ...
expositions
... Suggested Topics for Presentation or Written Exposition Analyze these in detail, presenting or writing them up so that others can really understand in depth. Go beyond what is provided in the text. 3.1 Selection Sort and Bubble Sort: Consider when one would want to use these 3.3 Closest Pair and Con ...
... Suggested Topics for Presentation or Written Exposition Analyze these in detail, presenting or writing them up so that others can really understand in depth. Go beyond what is provided in the text. 3.1 Selection Sort and Bubble Sort: Consider when one would want to use these 3.3 Closest Pair and Con ...
Module 1 Homework
... Show that 15 is a deficient number – also in detail. Give an example – different from everybody else’s – of another deficient number. ...
... Show that 15 is a deficient number – also in detail. Give an example – different from everybody else’s – of another deficient number. ...
Algebra IB Name Final Review Packet #1 Chapter 8: Powers
... Some examples of trinomials are - ______________________________________________________________ The degree of a monomial is the _________________________________________________________________ To find the degree of a polynomial, find the ____________________________________. The __________________ ...
... Some examples of trinomials are - ______________________________________________________________ The degree of a monomial is the _________________________________________________________________ To find the degree of a polynomial, find the ____________________________________. The __________________ ...
Finite MTL
... F = {fx }x∈F is a family of morphisms fx : mϕ(x) → l(x) of MTL algebras. We call f LF to the category of labeled forests and their morphisms. Definition 1. Let F = (F, ≤) a forest and let {Mi }i∈F a collection of MTL-chains such that, up to S isomorphism, all they share the same neutral S element 1 ...
... F = {fx }x∈F is a family of morphisms fx : mϕ(x) → l(x) of MTL algebras. We call f LF to the category of labeled forests and their morphisms. Definition 1. Let F = (F, ≤) a forest and let {Mi }i∈F a collection of MTL-chains such that, up to S isomorphism, all they share the same neutral S element 1 ...
