In this case, in the left reducible
matrix (see (12)) we define [s.sub.12] from the condition [s.sub.12][c.sup.2.sub.0] = [c.sub.1], where [c.sub.0] and [c.sub.1] are junior coefficient and coefficient of the monomial of degree 2co deg [a.sub.1] in [a.sub.1](x), respectively.
This proof is given in the context of reducible
QED because this formalism allows for a mathematically rigorous treatment.
There are many studies on waterborne/water reducible
binary hybrid systems such as acrylic/alkyd [43, 48-63], epoxy/alkyd [64-66], phenolic/alkyd , silicone/alkyd [68, 69], urethane/alkyd [70-72], epoxy/acrylic , and urethane/acrylic ; and ternary hybrid systems such as polyurethane/alkyd/acrylic [73, 74], silicone/acrylate/alkyd , and polysiloxane/urethane/alkyd , However, there are only a few studies on "oil modified" waterborne alkyd emulsion [77, 78] and "oil modified" water reducible
alkyd resin .
On the other hand, if [f.sub.0] is neither a unit nor a prime power, then f (x) is reducible
. In this case, the factorization algorithm is simple and relies on a recursion and a single diophantine equation, see [3, Prop.
On the other hand, I presuppose the following three claims: mental types have defining properties that are phenomenal; if a mental type is reducible
to a physical type, then it also has a defining property that is physical; and if a mental type is not reducible
to a physical type, then its only defining property is phenomenal.
element well reveals the relationship between coverings and their lower approximations.
A cubic connected graph without reducible
edges is called a prime graph.
Hernias may be reducible
, meaning that the contents are able to return to the abdominal cavity with external pressure or if the patient is supine.
When compared to similar thinkers like John Caputo and Gianni Vattimo, C.'s book can appear redundant to the point of being easily reducible
to a longish article.
The ideology of evolutionary naturalism, he claims, is based on two postulates: (1) a fundamental continuity between nonliving and living beings; and (2) all nonphysical phenomena are reducible
to physical phenomena.
The inhomogeneous linear dynamic system (3.1) is reducible
to (3.3) using the transformation (3.4), if and only if there exists an m x m regular real matrix S(t) such that
In this topic, the conceptions could be deeply rooted not only in scientific knowledge but also in value systems and social practices, because teachers often refuse to teach the ethical, psychological, economic and social issues not strictly reducible
to biology, such as sexuality health.