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Stochastic partial differential equations (SPDEs, for short) constitute a wide and quickly growing area of research within mathematics, combining the fields of stochastic analysis and partial differential equations (PDEs, for short). In this thesis we study specific questions concerning the discretization and approximation of linear parabolic SPDEs and—intimately connected with it—the regularity of the solutions. SPDEs of parabolic type or stochastic evolution equations are usually treated from an abstract point of view as ordinary stochastic differential equations (SDEs, for short) in an infinite-dimensional state space.

The book is a facsimile reprint of a scarce antiquarian work, preserving its original content and cultural significance. While it may include imperfections like marks and notations due to its age, the reprint aims to maintain high quality and accessibility. This initiative reflects a commitment to protecting and promoting important literary works for contemporary readers.

Since 2004, built-in security measures on compilers and operating systems have become commonplace. The black hats have kept up with security enhancements. Have you?

In the present day, Yoga is being propagated as a combination of physical and breathing exercises (Asana and Pranayam). But Ashtang Yoga is much more than that. It is a comprehensive yogic discipline which includes physical, mental and spiritual aspects. This book mainly deals with Ashtang Yoga founded by Maharishi Patanjali, the author of Yoga Darsan or Yoga Sutra.