A specific integral notion of surface content dealt with in Section 3.2.3 will make use of another system of coordinates which will be introduced in Section 3.2.2.
In both cases, a particular non-Euclidean geometry was identified such that the correspondingly modified integral notion of surface content based upon this non-Euclidean geometry coincides with the locally defined surface measure O S. This allows a non-Euclidean interpretable extension of Cavalieri's and Torricelli's method of indivisibles, see (Richter [1985], [2009]).
This role is not simply about examining and attending to social determinants or their end results; it is about understanding forces that work both for and against health and well-being, molding conceptions of place, time, nature, and people¿including ourselves¿into an integral notion of the social determination of health.
Traditional epidemiology has also much to learn from them, about integral notions of space, sustainable relations between nature and humanity, a healthy conception of time, a harmonious management of the planet's energies and about a fair, equitable and protective construction of social relations.
After some preliminaries of some known results on the Sugeno integral and the notion of an ({ ( {alpha,m,r} )_{g}} -concave function in Section 2, Section 3 deals with Berwald inequalities for the Sugeno integral based on ({ ( {alpha,m,r} -concaveconcave functions and reverse Berwald-type inequalitieSectionhe Sugeno integral based on ({ ( {alpha,m,r} )_{g}})-convex functions.
The Italian, French, and Spanish notion of integral nationalism was hostile to individualism and political pluralism.
The notion of integral input-to-state stability (iISS) is a way to remove the limitation of ISS.
Later in this paper, this definition will be called the integral approach to the notion of star-generalized surface content.
For formulating desirable properties of boundedness and convergence of estimated intervals in the presence of disturbances, the notion of integral input-to-state stability is introduced to interval observer design.
This allows us to define a good notion of integral with respect to irregular paths with Hölder exponent greater than 1/3 (e.g. samples of Brownian motion) and study the problem of the existence, uniqueness and continuity of solution of differential equations driven by such paths.
The Lipschitz class (operatorname{Lip} alpha,beta p)) ((pgeq1)) for (alpha,betain 0,1]) is defined as operatorname{Lip} alpha,beta; p):=bigl{ fin L^{p} bigl(T^{2}bigr) midomega _{1,x}^{p}(f,u =O bigl u^{alpha}bigr) mbox{ and } omega_{1,y}^{p}(f,v =O bigl v^{beta}bigr bigr}. (3) We also use the notion of integral modulus of smoothness.
