The algebraic theory of partial actions and partial representations of groups underwent several advances.
For example, partial actions of groups on semiprime rings  and the study of the structure of partial skew group rings with regard its semisimplicity and semiprimeness .
A word [8-10] is a partial word over A with an empty set of holes.
The following rules are useful for computing with partial words:
12,14,16] is still limited due to the abovementioned problem of inaccurate boundary partial derivatives.
With the help of Chain rule and these Jacobian determinants, the relationships between the partial derivatives of x-y and [xi]-[eta] can be built as follows:
Acar: Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces, Topology Appl.
Erduran: Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory Appl.
These survey results revealed that more than half of the survey respondents (51%) say that their confidence/self-esteem has been negatively impacted by wearing a partial denture.
Although some of the PDWs have changed their dental health habits after tooth loss to prevent further damage of their natural teeth, they have failed to implement the same routines with their partial denture.
x]) be a linear partial differential operator with constant coefficients on [R.
2n+1]), and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] the partial differentiation the variable [x.
This expression is reminiscent of an analogous expression for acceleration of a point object in a rotating frame, with partial
time derivatives replaced by the differential operator D.
Colne Valley High School, partial - open to students taking exams;
Community Science College@Thornhill, partial - open to Yr 11 only;