when can two spanning sets be equal?

Q: i. Provide an example to prove that the arbitrary intersection of open sets is not an open set ii.…

A:

Q: concurrent

A:

Q: What topology does one get on the real line if one imposes both the left and right Sorgenfrey…

A:

Q: 37. Which of these three statements is/are not true? I: Every finite nonempty subset of R has a…

A: We shall answer all the parts and provide justification as to why a particular part is not true. In…

Q: If a < b, then [a,b] CR does not have con- tent 0. In fact, if U1,. . .,Un) is a finite cover of…

A:

Q: Show that:- 1. A is a subset of AUB 2. A intersection B is a subset of A

A: 1 As shown in diagram      A ∪ B contains full A ∴ A is a subset of A ∪ B

Q: Q5 Minimal Every partially ordered set has a minimal element. O True O False

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Axiom1. There exists exactly seven points; Axiom2. Any two distinct points are on exactly one…

A:

Q: Roster form: C = { Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday } What is the Set…

A: To change  roster form to set builder form

Q: A set X and a topology on X which is not Hausdorff.

A:

Q: Let A and B be non-empty sets. Using the element method prove that: If A C B, then AU (B – A) = B.…

A: Given that, A and B are non-empty sets and set A is the subset of set B. To prove :

Q: Find two examples for equivalet norms on three dimensional real space R³. .

A: To take two vectors whose norms are the same.

Q: a). Define pandent vertex and isolated vertex by giving example.

A: As per our company guidelines we supposed to answer only first question. kindly repost another in…

Q: 2. Prove Lemma: For all sets A, B, and C, A × (BNC) = (A × B) N (A × C)

A:

Q: 2.6.2(1) Let A CR be a non – empty set. Refer to Example 2.5.13 for the definition of a greatest…

A:

Q: (1) Construct an example for three distinguish points A, B and C in a 3- space for validating the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Determine whether the following are spanning sets for R2:

A:

Q: separation axiom

A:

Q: Find an example of a set A with |A| = 3 which contains only other sets and has the following…

A:

Q: I need help with how to solve inequalities and graphing solution sets. My homework question is…

A: Given problem

Q: What properties are exhibited by these sets and relations ? symmetry inverse O antisymmetric…

A:

Q: O Check whethe8 the binasy operation Mielteplicaticn Ps commutalive over Hhe set of all gx2 Squade…

A: The objectives to check whether the binary operation multiplication is commutative over the set of…

Q: Suppose that you have two sets, and you know that both sets are convex. Proven that the intersection…

A: convex set is a set of points such that, given any two points x,y in that set, the straight line…

Q: number of edges that start at some Choose... vertex Choose. a statement that is always true Leaves…

A: Based on the given statements : Following are the correct matches

Q: Show that the set given in the image below is non convex. Please prove the result mathematically…

A: A set is said to be convex if for any two points in the set the line segment joining those points is…

Q: The k-Nearest Neighbor technique uses "k" attributes. O selects using only the nearest neighbor. may…

A: The K-nearest algorithm is a supervised learning algorithm . It has a set of available data points…

Q: 9. Distances between six islands in the Pacific Ocean are given in the accompanying table. The…

A:

Q: Prove that if A C P([n]) is intersecting then there is an intersecting family BC P((n]) such that…

A: Let (X, Y)  be any partition of the set P([n]). Then at most one  of the set X or Y contains an…

Q: (1) Construct an example for three distinguish points A, B and C in a 3- space for validating the…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: Least upper bound (lub) ond gueatest lowr bound 1.b) af the set are.

A: Just explore the set and look for biggest and smallest elements of given set.

Q: what is the maximum size of independent set ? And give examples

A:

Q: Topic is Span and Spanning sets. Verify if the given set below spans P3 A = { x2- 2x , x3 + 8, x3…

A: Spanning set

Q: what is the closed neighborhood ? And give examples

A:

Q: X, Y and Z be subsets of the set . Verify the following properties: XCY XUY=Y⇒XnY=X -UI 3)

A:

Q: How may sets of intersecting chords are there in the figure? [6 1 12 14 73° 4 1

A: Q.6 has answer 3

Q: Discrete MAth Graph Theory and spanning tree Let G be a connected graph, and let T1, T2 be two…

A: Here, in the question, it's given about a connected graph. T1, T2 are two spanning trees. We have to…

Q: Could one please explain the concept of e-balls in terms of sets. 1. How would one draw an e-ball…

A: Explanation: we will use the following theorem: "The complement of an open set is a closed set and…

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Total fence required = 2 L + 3 W           2 L + 3 W = 234…

Q: Vhat does "x is an upper bound of a set S C R" mean ? State the Smallest Upper Found Principle.

A:

Q: True or false 1.The intersection of two sets is the set of all the equal elements that belong to…

A: Since you have not mentioned the questions to be solved, so we are providing you solutions for first…

Q: Prove that the smallest member of a set, if exits, is the greatest upper bound of the set, clear…

A: Note*  We consider Greatest Lower Bound

Q: Pick up the correct statement Union of two connected set is always connected in R Q x Q is path…

A: We have to choose the correct statement from the following given statements : i) Union of two…

Q: farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Let the dimensions of rectangular area Length =l , width =w The farmer has 162 feet of fencing ----1

Q: Let (R, T) be the set of real numbers with the cofinite topology. (See Example 2.2.5.) i tud…

A: Given: I={U⊆ℝ:X-U is finite} (a) Consider a finite set, say ATo Show:A is closedequivalently we show…

Q: X - (Y UZ) = (X – Y)nZ°

A: Assume that X, Y and Z are sets. Prove that, X-Y∪Z=X-Y∩ZC. That is, a∈X-Y∪Z⇒a∈X-Y∩ZC  and…

Q: lultiply 197 by 3. The number of pieces in the minimal set are: Flats Longs | Units

A: Here, the expression to be calculated is 197×3

Q: Let A CR be a non – empty set. Refer to Example 2.5.13 for the definition of a greatest element of a…

A: Completeness property of R:  Every non-empty subsets of real numbers which is bounded above has a…

Q: Refer to the partially ordered set defined on the Hasse diagram below. Fill in the blanks with the…

A: By using definitions of maximal and maximum elements we solve the given problem

Q: what is a maximal Matching ? And give examples

A:

Q: what is a perfect matching? And give examples

A: A matching graph is a subgraph of a graph in which there are no edges adjacent to each other. That…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.