1
In mathematics, a Tschirnhaus transformation, also known as Tschirnhausen transformation, is a type of mapping on polynomials developed by Ehrenfried Walther von Tschirnhaus in 1683.Simply, it is a method for transforming a polynomial equation of degree
n
≥
3
{\displaystyle n\geq 3}
with some nonzero intermediate coefficients,
a
1
,
.
.
.
,
a
n
−
1...
Consider an auction of a single unit of indivisible good. There are $n$ buyers whose values of the object is drawn independently from the uniform distribution on $[0,1]$. The buyers have interim linear utility:
$$
u_i(k(\hat{\theta}), t(\hat{\theta}));\theta_i)
= \theta_i k_i(\hat{\theta}) + ...0
In category theory, a Kleisli category is a category naturally associated to any monad T. It is equivalent to the category of free T-algebras. The Kleisli category is one of two extremal solutions to the question Does every monad arise from an adjunction? The other extremal solution is the Eilenberg–Moore category. Kleisli categories are named for the mathematician Heinrich Kleisli.
== Formal definition ==
Let ⟨T, η, μ⟩ be a monad over a category C. The Kleisli category of C is the category CT whose objects and morphisms are given by...
