This chapter discusses the differentiation of functions of two or more variables. For most of the functions, it is common to denote y = f(x). This means that the variable y can be expressed explicitly in terms of the single variable x. However, in a great variety of applications, it ...
an expression that contains more than one symbolic variable, specify the variable that you want to differentiate with respect to. Thediffcommand then calculates the partial derivative of the expression with respect to that variable. For example, specify a symbolic expression with two variables. ...
If the polynomial relating X and Y had been of degree 5 or greater in both of the variables, then it would in general be impossible to obtain an explicit relationship between the two variables. In that case, the relationship can be called implicit. 展开 出版时间: 1981 ...
Basic integral representations of generalized q-hypergeometric functions of two variables are discussed from the point of view of fractional basic differentiation. A number of new results are given which, after appropriate specialization, give q-analogues of integral representations of basic Appell function...
Iffis a real function with domain(a,b)\subset \mathbb Rand ifx\in (a,b), thenf'(x)is usually defined to be the real number f'(x)=\lim_{h\to 0}{\frac {f(x+h)-f(x)}{h}}=\lim_{y\to x}{\frac{f(y)-f(x)}{y-x}}\\ ...
Spiritual well-being was significantly associated with various quality of life variables, health status, personal happiness, or religiosity in patients on dialysis. There was no relationship between spirituality scores and comorbidity, HD duration, gender, or age. Spiritual well-being is relatively low...
Self-rated and statistically-derived differentiation measures were positively correlated with each other, and both variables were negatively correlated with integration. Also, more differentiated subjects tended to feel less successful in their strivings, whereas integrated subjects felt more successful in ...
This paper proves the existence of a symmetric equilibrium with multiproduct firms using a nested logit model of demand. The demand model is parameterized by two variables that characterize different dimensions of preference for variety... Anderson, Simon P,de Palma, Andre - 《Journal of Industrial...
A practical approach is proposed to the problem of simultaneously computing a function, its partial derivatives with respect to all the variables, and an e... M Iri - 《Japan Journal of Applied Mathematics》 被引量: 96发表: 1984年 An efficient method for the numerical evaluation of partial ...
New insight into partial differentiation with non-independent variables Primitive achondrites of the acapulcoite-lodranite clan (ALC) are residues of partial melting that displays a continuum of thermal metamorphism and partial... M Lamboni 被引量: 0发表: 2021年 Partial differentiation of air densi...