  The purpose of this exposition is to compare the constructions of classical
nonsymmetric operads (and their algebras) to that of the globular operads of
Leinster and Batanin. It is hoped that, through this comparison, understanding
algebras for globular operads can be made more intuitive and approachable. We
begin by giving a description of the construction of the classical
tautological, or endomorphism, operad $taut(X)$ on a set $X$. We then describe
how globular operads are a strict generalization of classical operads. From
this perspective a description is given of the construction for the
tautological globular operad $Taut(\mathcal{X})$ on a globular set
$\mathcal{X}$ by way of describing the internal hom functor for the monoidal
category $\boldsymbol{Col}$, of collections and collection homomorphisms, with
respect to the monoidal composition tensor product used to define globular
operads, all the while emphasizing comparisons to the analogous construction in
the category of graded sets.
