Taylor House

From Taylor Series to Taylor Models

An overview of the background of Taylor series methods and the utilization of the differential algebraic structure is given, and various associated techniques are reviewed. The conventional Taylor methods are extended to allow for a rigorous treatment of bounds for the remainder of the expansion in a similarly universal way. Utilizing differential algebraic and functional analytic arguments on ...

James Taylor

Investigating Orosi* in Tabriz Qajar houses (Case studies: Mashrooteh House, Heydarzadeh House, Nikdel House)

Iranian architecture has beautiful embellishments that are made of different materials such as tiles, plaster, pottery, stone and wood. Although due to Iran’s hot and dry climate, wood embellishments are less being used, in some cases they have a special and unique place in Iranian architecture. Orosi windows are one of these embellishments which have a special place in various types of archite...

Investigating Orosi* in Tabriz Qajar houses (Case studies: Mashrooteh House, Heydarzadeh House, Nikdel House)

Iranian architecture has beautiful embellishments that are made of different materials such as tiles, plaster, pottery, stone and wood. Although due to Iran’s hot and dry climate, wood embellishments are less being used, in some cases they have a special and unique place in Iranian architecture. Orosi windows are one of these embellishments which have a special place in various types of archite...

Taylor Expansion for the Entropy Rate of Hidden Markov Chains

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...