This blog site was inspired by our book, The Landscape of Reality (Nov. 18, 2014). The blog is an offshoot or extension from some of the themes in the book. The blog focuses on creative ideas and concepts from science, nature and philosophy. Our intention is to provide an evidence-based perspective of the physical and natural world. The content will be tailored for a general audience. We define the three fields in the following manner:
- Science is about a factual and logical understanding of the world and the universe. The foundation of science is verifiable evidence.
- Nature is more closely associated to living things and how we experience the world, but not exclusively. One could also view nature as the source, and science as the field of study.
- Philosophy is about how we think and apply the concepts, what it means for us.
indeed are necessary the above as creative and observed prof dr mircea orasanu and prof drd horia orasanu that followed for many situations as story of science as story of equations or that of important relations
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now there are still many situations observed by prof dr mircea orasanu and prof drd horia orasanu that followed in thus cases and are welcome with other
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are very important these and must used in cases of schools and scholar activities or universities for activities study observed prof dr mircea orasanu and prof drd horia orasanu and followed that these appear in any moments so these must consider important chapters that permanent presented for blog and posters , so we present these chapters
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these are very important for mathematics observed prof dr mircea orasanu and prof drd horia orasanu and followed philosophy in mathematics very found
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these are very important and welcome for the above subject that are stated by prof dr mircea orasanu and prof drd horia orasanu that continued these and thus followed that a hollow cylinder loaded along its axis by constant surface stresses and applied in the opposite directions to its inner and outer surfaces, respectively. The cylinder will be in equilibrium if the condition
, (19)
which is a special case of the condition (1), is fulfilled. In an approximate analysis aimed at the evaluation of the longitudinal interfacial compliances we assume that the normal radial, and the normal tangential (circumferential), stresses are zero everywhere, that the normal axial stress, does not change along the cylinder radius and that the shearing stress, does not change along the cylinder. Then the first of the equilibrium equations (see, e.g., [3])
(20)
is fulfilled automatically, and the second equation yields:
(21)
Since, according to our assumptions, the stress is z independent and the stress is r independent, the following relationships should take place:
(22)
where is thus far unknown constant. By integration we find:
(23)
where and are constants of integration. The boundary conditions and result in the equations:
(24)
Solving these equations for the constants and and considering the equilibrium condition (19) we obtain:
(25)
The second equation in (23) yields:
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this is very important specially for fundamental aspects in MATHEMATICAL ANALYSIS with ample development and as GOURSAT OPERA as observed prof dr mircea orasanu and prof drd horia orasanu then followed that for the development a shared sense of purpose about the aims and values of education, as these relate to both schools and teacher education
• to reform working practices between the various stakeholders in the way in which policy is developed
• to reconceptualise the notion of teacher competence as currently set out in the National Standards
The first of these has been the main focus of this paper. However the starting point for such a project would be a key factor in developing such a shared sense of purpose. A rightful concern would be around the question of ‘Whose values?’ and also of the threat of the imposition of an authoritarian agenda. However one might look to the communitarian agenda for a starting point and in particular to Etzioni (1995) who argues that we might start with those values that are widely shared. These include that ‘the dignity of all persons ought to be respected, that tolerance is a virtue and discrimination abhorrent and that peaceful resolution of conflicts is superior to violence’
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in many situations are used important integral transforms as observed prof dr mircea orasanu and prof drd horia orasanu and followed that these appear in most works as integral transform is any transform T of the following form:
( T f ) ( u ) = ∫ t 1 t 2 f ( t ) K ( t , u ) d t {\displaystyle (Tf)(u)=\int \limits _{t_{1}}^{t_{2}}f(t)\,K(t,u)\,dt} {\displaystyle (Tf)(u)=\int \limits _{t_{1}}^{t_{2}}f(t)\,K(t,u)\,dt}
The input of this transform is a function f, and the output is another function Tf. An integral transform is a particular kind of mathematical operator.
There are numerous useful integral transforms. Each is specified by a choice of the function K of two variables, the kernel function, integral kernel or nucleus of the transform.
Some kernels have an associated inverse kernel K−1(u, t) which (roughly speaking) yields an inverse transform:
f ( t ) = ∫ u 1 u 2 ( T f ) ( u ) K − 1 ( u , t ) d u {\displaystyle f(t)=\int \limits _{u_{1}}^{u_{2}}(Tf)(u)\,K^{-1}(u,t)\,du} {\displaystyle f(t)=\int \limits _{u_{1}}^{u_{2}}(Tf)(u)\,K^{-1}(u,t)\,du}
A symmetric kernel is one that is unchanged when the two variables are permuted.
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