3.3.4.2 - Recurrence Relation PYQ Solution - Recurrence Relation - DM

Study Materials: https://ayanmemon296.github.io/GTU-Study-Mates/Sem4/DM.html Don't forget to like, share, and subscribe to the channel. ➡ Questions Solved in this Video :-) Let 〈𝐿, ≤〉 be a lattice. Show that for 𝑎, 𝑏, 𝑐 ∈ 𝐿, following inequalities holds. 𝑎 ⊕ (𝑏 ⋆ 𝑐) = (𝑎⨁𝑏) ⋆ (𝑎⨁𝑐) 𝑎 ∗ (𝑏⨁𝑐) = (𝑎 ∗ 𝑏)⨁(𝑎 ∗ 𝑐) Show that in a lattice if a ≤ b ≤c, then (I) a⊕b=b*c and (II) (a*b)⊕(b*c) = b = (a⊕b)*(a⊕c) For the following relations on the set of real numbers, 𝑅1 = {(𝑎, 𝑏) ∈ 𝑅² |𝑎 ≥ 𝑏}, 𝑅2 = {(𝑎, 𝑏) ∈ 𝑅² |𝑎 ≤ 𝑏} 𝑅3 = {(𝑎, 𝑏) ∈ 𝑅² |𝑎 ≠ 𝑏} find 1) 𝑅1⨁𝑅3 2) 𝑅2𝑜𝑅3 Solve the recurrence relation which represents the Fibonacci sequence Fn = Fn-1 + Fn-2 with F0=F1=1. Discrete Mathematics (DM) Playlist :-) https://www.youtube.com/playlist?list=PLNiD0MJqUzyFig8W6TLF6AT4E7UVyorb9 Operating System (OS) Playlist :-) https://youtube.com/playlist?list=PLNiD0MJqUzyFQjsrJkJYs67Mpy5svZgdf Computer Organization & Architecture (COA) Playlist :-) https://youtube.com/playlist?list=PLNiD0MJqUzyFUWvkquMNIckIrLIh4RuTf Probability & Statistics (PS) Playlist :-) https://youtube.com/playlist?list=PLNiD0MJqUzyHASx368hL9xBYLEXM-nTXA Design Engineering (DE) Playlist :-) https://youtube.com/playlist?list=PLNiD0MJqUzyHWEEYx_T3wWPjsKqtzb7Vl GTU 100 Points Activity Free Certificates Playlist :-) https://youtube.com/playlist?list=PLNiD0MJqUzyHnKvt2XCVrNz-Y9HxMLHJY Study Materials :-) DM: https://drive.google.com/drive/folders/1x_J8bv08-ZeT48gbjN1xWjMjMAurbUJX OS: https://drive.google.com/drive/folders/1tZkx4X9HorGmna57xOhfCPZUSxiWyEv6 OOP: https://drive.google.com/drive/folders/1OalRJoYaO3s9ZOeDJgNHYdSzDCAIn2Gx COA: https://drive.google.com/drive/folders/1mqRSchEwQbiYhQQ9ndIarF37NZCN92X- PEM: https://drive.google.com/drive/folders/1xPBSveEQzQ93niJgMtHb3Gf4HSyIjHyG #discrete_mathematics #discretemathematicsgate #discretestructure #discretemathematics #discretemathematicslecturesinhindi #discretemaths #discretemath #dm #gtu #gtu_exam #sem4 #sem-4 #relation #typesofrelations #equivalencerelation #equivalencerelations #transitiveclosure #transitiveclosureusingwarshallsalgorithm #warshallsalgorithm #compatiblerelation #compatibilityrelation #maximumcompatibilityblock #maximulcompatibilityblock #partialorderrelation #partialorderedrelation #partialorderingrelation #partialorderedset #partialorderset #poset #toset #woset #hassediagram #hasse #lattice #recurrencerelation #recurrencerelations #recursion #undeterminedcoefficient #undeterminedcoefficientmethod #homogeneous #nonhomogeneous #generatingfunction #generatingfunctions #generatingfunctionsmethod #generatingfunctionmethod #SetTheory #BasicConcepts #Sets #Inclusion #EqualityOfSets #CartesianProduct #PowerSet #SetOperations #VennDiagrams #SetIdentities #Functions #Surjective #Injective #Bijective #CompositionOfFunctions #InverseFunction #IdentityMap #Counting #PigeonholePrinciple #Permutations #Combinations #BinomialCoefficients #PropositionalLogic #TruthValues #Connectives #TruthTables #Tautologies #PredicateLogic #Predicates #Variables #Quantifiers #Relations #BinaryRelation #Domain #Range #UniversalRelation #VoidRelation #Reflexive #Symmetric #Transitive #AntiSymmetric #EquivalenceRelation #CompositeRelation #PartialOrdering #LinearOrdering #TotallyOrderedSet #HasseDiagrams #Lattice #RecurrenceRelation #AlgebraicStructures #Semigroup #Monoid #Group #Subgroup #LagrangesTheorem #Ring #IntegralDomain #Field #Graphs #Nodes #Edges #DirectedGraph #UndirectedGraph #Multigraph #IsomorphicGraphs #Degree #Subgraphs #Paths #Cycles #Reachability #Connectedness #MatrixRepresentation #WarshallsAlgorithm #Trees #BinaryTree #TreeTraversal