摘要: 
This paper obtains formulas for the number of subspaces of a given type contained in a given subspace in singular pseudo-symplectic geometry.
                                                        
                            
                            																											
											
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                                        															王恺顺, 魏鸿增, 张更生. AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS[J]. 数学物理学报(英文版), 2002, 22(1): 72-78.	
																																									     												                                                                                                        	                                                           WANG Kai-Shun, WEI Hong-Zeng, ZHANG Geng-Sheng. AN ANZAHL THEOREM IN SINGULAR PSEUDO-SYMPLECTIC GEOMETRY OVER FINITE FIELDS[J]. Acta mathematica scientia,Series B, 2002, 22(1): 72-78.