Rigorous design of distillation columns using surrogate models based on Kriging interpolation

The economic design of a distillation column or distillation sequences is a challenging problem that has been addressed by superstructure approaches. However, these methods have not been widely used because they lead to mixed-integer nonlinear programs that are hard to solve, and require complex initialization procedures. In this article, we propose to address this challenging problem by substituting the distillation columns by Kriging-based surrogate models generated via state of the art distillation models. We study different columns with increasing difficulty, and show that it is possible to get accurate Kriging-based surrogate models. The optimization strategy ensures that convergence to a local optimum is guaranteed for numerical noise-free models. For distillation columns (slightly noisy systems), Karush–Kuhn–Tucker optimality conditions cannot be tested directly on the actual model, but still we can guarantee a local minimum in a trust region of the surrogate model that contains the actual local minimum.

Grandes viajes de la historia a través de Google Earth

Se realizó una experiencia con los futuros maestros del Grado de Magisterio con el doble objetivo de que investigaran sobre las rutas más importantes de la Historia usando la cartografía y localización que permite Google Earth, así como la biografía de los personajes que las llevaron a cabo. El instrumento-juego utilizado fue una yincana a través del globo terráqueo. Los resultados fueron muy alentadores en cuanto a motivación y aprendizajes.

Libro quinto de la Arca de este Juzgado de Testamentos de Valladolid ..., 1778-1784

Testamentarias; --Concursos y acreedores; --Capellanias; --Obras pias.

[ Majmūʻat rasāʼil]

Title supplied by cataloger, no proper title for each "risālah".

Kitāb al-Tanbīh wa-al-tadhkīr fī-mā ilayhi al-marjiʹ wa-al-maṣīr / taʼlīf ʻAbd al-Wahhāb al-Shaʻrānī : manuscript, undated

بسم الله الرحمن الرحيم الفصل الاول الحمد لله الذي نثر على وجه عروس الارض ... :Incipit

Mârûzât : manuscript, undated

Title from colophon.

Majmūʻah : manuscript, 1694-1716

A collection of more than 80 short treatises by various authors on various topics as well as numerous excerpts from different sources.

Hādhā Dīwān al-Fāḍil al-Adīb Ibn Khalūf al-Andalusī : manuscript, undated

Cream laid paper with watermarks. 15.1 x 10 cm. (12 x 7 cm.).

Hādhā kitāb Sharḥ khawāṣṣ al-manẓūmah al-musammāh bi-al-Dimyāṭīyah

Lithographed.

Mir'âtu'l-avâlim : manuscript, undated

Cream laid paper with watermarks. 19.9 x 14.3 cm ( x cm.)

Dībājah-ʼi Tafsīr / li-Mawlānā Shaykh Mashāyikh al-Islām Muftī al-zamān farīd al-ʻaṣr wa-al-awān Abū al-Suʻūd Muḥammad al-ʻImādī : manuscript, undated

Foliated 198-202; paginated 1-9, both in Arabic numerals.

Ightinām al-fawāʼid bi-sharḥ Qawāʻid al-ʻaqāʼid : manuscript, 1756

Incomplete at beginning.

O estado, os governos e a administração pública desportiva

"Pretende-se com esta reflexão expor a situação do desporto nacional enquanto área social sujeita às influências dos ciclos governativos e das actividades da administração pública desportiva central".

Ælii Antonii Nebrissensis Rerum a Fernando et Elisabe Hispaniar[um] ... gestaru[m] Decades duæ, necno[n] belli Nauarie[n]sis libri duo

Sign.: A-Z8, 2A-2F8

Chronica de los muy Altos, y esclarecidos Reyes Catholicos Don Hernando y Doña Ysabel de gloriosa memoria, ... / compuesta que fue en romance por Hernando del Pulgar ... ; vista por el excele[n]tissimo y Reuere[n]dissimo señor don Hernando de Aragon ... ;

Colofón