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dos Santos, A. L. C.; da Silva, P. N. – International Journal of Mathematical Education in Science and Technology, 2008
We use the Implicit Function Theorem to establish a result of non-existence of limit to a certain class of functions of several variables. We consider functions given by quotients such that both the numerator and denominator functions are null at the limit point. We show that the non-existence of the limit of such function is related with the…
Descriptors: Arithmetic, Demonstrations (Educational), Structural Equation Models, Path Analysis
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Tsai, Tien-Lung; Shau, Wen-Yi; Hu, Fu-Chang – Structural Equation Modeling: A Multidisciplinary Journal, 2006
This article generalizes linear path analysis (PA) and simultaneous equations models (SiEM) to deal with mixed responses of different types in a recursive or triangular system. An efficient instrumental variable (IV) method for estimating the structural coefficients of a 2-equation partially recursive generalized path analysis (GPA) model and…
Descriptors: Structural Equation Models, Path Analysis, Simulation, Equations (Mathematics)