数学作业代写价格-MT4516代写-Mathematics代写
数学作业代写价格

数学作业代写价格-MT4516代写-Mathematics代写

School of Mathematics and Statistics

MT4516 Finite Mathematics

数学作业代写价格 A quadrangle in a fifinite affiffiffine plane is a set of four points such that no three belong to the same line.

1.Prove that parallelism is an equivalence relation on the set of lines in an affiffiffine plane.  数学作业代写价格

2.Let i,j ∈ {1, 2, 3} be arbitrary. Prove that for each n 4 one can fifind sets P and L of points and lines so that P has n points and the axioms

(Ai) and (Aj) are satisfified.

3.Prove that in an affiffiffine plane of order n2 there are exactly n lines parallel to any given line.

4.A triangle in a fifinite affiffiffine plane is a set of three points not belonging to the same line. Prove that an affiffiffine plane with n2 points has exactly n 3 (n 1) 2 (n + 1)/6 triangles.

5.A quadrangle in a fifinite affiffiffine plane is a set of four points such that no three belong to the same line. Find the number of quadrangles in  an affiffiffine plane with n 2 points.

数学作业代写价格
数学作业代写价格

6.In the affiffiffine plane AP(Z11) fifind:  数学作业代写价格

(i) an equation for the line containing the points (2, 3) and (1, 6);

(ii) an equation for the line containing the points (3, 6) and (0, 4).

(iii) the point of intersection of the lines 7x + 6y = 9 and 3x + 2y = 8.

7.In the affiffiffine plane AP(Z13) fifind:

(i) an equation for the line containing the point (3, 6) and parallel to the line 4x + 2y = 7;  数学作业代写价格

(ii) an equation for the line containing the point (1, 5) and parallel to the line 3x + 2y = 3.

8.Let F be the fifinite fifield of order pn where p is a prime difffferent from 2 and 3, and consider the affiffiffine plane AP(F). For two points (x, y),(z, t) defifine their midpoint to be the point ((x + z)/2,(y + t)/2). Let A, B, C AP(F) be non-collinear points. Prove that the three lines connecting each of these points to the midpoints of the other two all contain the same point.

 

更多代写:数学代上网课价格  考试代考  生物学代上网课  美国critical essay代写  论文润色范文  新西兰数学代写

合作平台:essay代写 论文代写 写手招聘 英国留学生代写

数学作业代写价格
数学作业代写价格

发表回复