To convert the complex number z=i−1cos(π3)+isin(π3) into polar form, we will follow these steps: Step 1: Identify the DenominatorThe denominator can be expressed using Euler's formula:cos(π3)+isin(π3)=eiπ3Calculating the values:cos(π3)=12,sin(π3)=√32Thus, the denominato...
This approach is rooted in the origins of the field of Graph Theory developed in the 18th century by Euler and his Seven Bridges of Königsberg5, and it has been applied widely ever since6–13. The use of graphs is further reinforced in this era of 'Big Data', where countless sources...
said to be adjacent. Two edges sharing a vertex are said to be adjacent. If nV is the number of vertices of the surface (of the set V), nF is the number of faces (number of elements in P), and nE the number of edges, the Euler number of the surface is defined as nV-nE+nF....