Using Symbolic Computing to Find Stochastic Process Duration Distribution Laws

Author(s):  
Georgiy Zhemelev ◽  
Alexandr Sidnev
2007 ◽  
Vol 44 (02) ◽  
pp. 393-408 ◽  
Author(s):  
Allan Sly

Multifractional Brownian motion is a Gaussian process which has changing scaling properties generated by varying the local Hölder exponent. We show that multifractional Brownian motion is very sensitive to changes in the selected Hölder exponent and has extreme changes in magnitude. We suggest an alternative stochastic process, called integrated fractional white noise, which retains the important local properties but avoids the undesirable oscillations in magnitude. We also show how the Hölder exponent can be estimated locally from discrete data in this model.


2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Bernaulli Putri Mulyanto ◽  
Yustina Wuri Wulandari ◽  
Akhmad Mustofa

      Brownies merupakan cake coklat yang terbuat dari tepung terigu, lemak, telur, gula pasir dan coklat. Metode pemasakan brownies ada dua yaitu pemanggangan dan pengukusan. Penelitian ini menggunakan tepung jewawut dan tepung maizena agar dihasilkan brownies kukus bebas gluten. Penelitian ini bertujuan untuk mengetahui formulasi tepung yang memiliki kadar protein tertinggi pada brownies dan untuk mengetahui lama pengukusan yang optimal sehingga menghasilkan brownies kukus tepung jewawut dan tepung jagung yang paling disukai. Penelitian ini menggunakan Rancangan Acak Lengkap (RAL) dengan dua faktorial yaitu faktor pertama ratio tepung jewawut dan tepung jagung (50:50, 40:60 dan 30:70), sedangkan faktor kedua lama pengukusan (30 menit, 40 menit dan 50 menit). Hasil penelitian menunjukkan Brownies kukus tepung jewawut dan tepung jagung dengan ratio 50:50 dan lama pengukusan 50 menit merupakan ratio yang terbaik karena memiliki kadar protein paling tinggi yaitu 5.828%.  Pada perlakuan ini menghasilkan 19.967% kadar air, 1.585% kadar abu, 1.786% gula total, serta uji organoleptik terhadap warna 3.590 (coklat gelap), tekstur 3.340 (lembut), flavor jewawut 2.855 (sedikit terasa) dan kesukaan keseluruhan 3.285 (disukai). Kata kunci : Brownies, tepung jewawut, tepung jagung, kadar protein.  ABSTRACT      Brownies is chocolate cakes made from flour, fat, eggs, sugar and chocolate. There are two methods of cooking brownies namely roasting and steaming. This study uses millet flour and maizena flour to produced gluten free steamed brownies. This study aims to determine the best of flour formulated which has highest protein content in steamed brownies and to knew the optimal steaming time that produced the most favored  of  steamed brownies millet flour and  corn flour. This study used a completely randomized design (CRD) with two factorials, the first factor is ratio of millet flour and corn flour (50:50, 40:60 and 30:70), while the second factor was the duration of steaming process (30, 40 and 50 minutes). The result of the study showed steamed flour of millet flour and corn flour with ratio of 50:50 and with steamed process duration 50 minutes is the best ratio because it had the highest protein content of 5.828%.  In this treatment yielded 19.97% moisture content, 1.585% ash content, 1.786% total sugar and organoleptic test is 3.590 (dark chocolate) colors, 3.340 (soft) texture, 2.855 (slightly felt) millet flavors and 3.285 (preferred) overall preferences. Keywords :  Brownies, millet flour, corn flour, protein content


2013 ◽  
Author(s):  
Friedel Bolle ◽  
Philipp E. Otto
Keyword(s):  

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