Locally nilpotent derivations of affine domains
Any locally nilpotent derivation of an affine domain is equivalent to a restriction of a Jacobian type derivation of a polynomial ring.
Actions of Ga on A3 defined by homogeneous derivations
The first example of an algebraic action of Ga on affine 3-space having maximal rank 3 is produced. Its fixed points consist of a single line in A3, and Ga is realized as an algebraic subgroup of Autk(A3) whose non-trivial elements are of degree 41. The corresponding derivation is homogeneous and irreducible of degree 4. Since triangulable actions are never of maximal rank, this action is non-triangulable. This action is embedded, for each n ≥ 3, into a Ga-action on An, in such a way that the resulting action has rank n, thus showing that algebraic Ga-actions on An having maximal rank exist for each n ≥ 3. 
 
Also considered is the general case of a homogeneous locally nilpotent derivation on k[3]. The main tool here is the exponent of a polynomial relative to the derivation. By describing such derivations of type (2, d + 1), where d is the degree of the derivation, it is shown that actions induced by homogeneous derivations of degree less than four have rank at most 2. The rank 3 example mentioned above appears as a special case of Theorem 4.2.
THE RELIGIOUS SITES DURING THE CHINESE CULTURAL REVOLUTION, 1966-1976
This study presents a thought-provoking picture of statistical data regarding the growth patterns of the religious sites for five main Chinese religions during the Cultural Revolution from 1966 to 1976. Applying comparative and quantitative lenses, this paper addresses the diE™erent growth rates of religious sites during the four diE™erent periods from 1949 to 2004 to test the relative growth pace of religious sites during the Cultural Revolution. To understand the patterns of growing religious sites from 1966 to 1976, this study also compares the diE™erent growth rates of religious sites between the first phase (1966 to 1970) and the second phase (1971-1976) of the Cultural Revolution. Furthermore, it provides detailed information concerning the year of building new religious sites for all five major religions that hold more than 2,500 new religious sites during the Cultural Revolution. In addition, the study shows the top five provinces which built the most new religious sites while denoting their respective rural and urban locations in an eE™ort to demonstrate their geographical expansion during the period. Finally, this study addresses the growth rates of the national population and per capita GDP as compared to the growth of the religious sites during the period of national disaster (1966-1976).