Triangular integrals for 2-, 3- and 4-variable functions

Application of triangular functions for solving the vasicek model

This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. Finally, the error analysis and some numerical examples are provided...

2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals

Conditional Moment Generating Functions for Integrals and Stochastic Integrals

In this paper we present two methods for computing filtered estimates for moments of integrals and stochastic integrals of continuous-time nonlinear systems. The first method utilizes recursive stochastic partial differential equations. The second method utilizes conditional moment generating functions. An application of these methods leads to the discovery of new classes of finitedimensional f...

SELENIUM HETEROCYCLES XXXX [I] SYNTHESES OF 4- (2-PYRAZINYL) - 1, 2, 3: SELENADIAZOLE AND 4- (2-PYRAZILYL)' - l,2,3- THIADIAZOLE

Reaction of thionyl chloride with 2-acetyl-1- benzenesulfonylpyrrole semicarbazone (6 c) gave 4 - (1- benzenesulfonyl-2 - pyrrolyl) - 1, 2, 3 -thiadiazole (lc). Selenium dioxide oxidation of 2-acetylpyrazine semicarbazone (10) in acetic acid afforded 4- (2-pyrazinyl) - 1, 2, 3- selenadiazole (4). Reaction of thionyl chloride with compound 10 gave 4- (2-pyrazinyl) - 1, 2, 3- thiadiazole (3)....

A variable and decreasing sink for atmospheric CO 2 in the North 3 Atlantic 4

6 [1] A time series of observations from merchant ships between the U.K. and the 7 Caribbean is used to establish the variability of sea surface pCO2 and air-to-sea flux from 8 the mid-1990s to early 2000s. We show that the sink for atmospheric CO2 exhibits 9 important interannual variability, which is in phase across large regions from year to year. 10 Additionally, there has been an interdeca...