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the relational database model expression. Decision-free data analysis and decision-making data analysis are two main applications of Rough Set Theory in data analysis. Rough set theory provides the knowledge reduction and core methods to analyze redundant attributes in information systems.If the set B belongs to a and has no redundant attributes, the conciseness of B is a or at, which is marked as red (AT). The intersection of the conciseness in at is called the at core, it is recorded as core

It is known that the two endpoints of a line segment are a (x1, Y1), B (X2, Y2), and the two endpoints of the other line segment are C (X3, Y3), D (X4, y4), to determine whether there is a point between AB and Cd, if any.First Judge d = (y2-y1) (x4-x3)-(y4-y3) (x2-x1 ),If D = 0, the line AB and Cd are parallel or overlapped,If D! = 0, the line AB and CD have the intersection, and the intersection (x0, y0) i

subgraph, And now it still belongs to (or does not belong to) equal subgraph. (Meaning, for the entire graph, if it does not belong to an equal subgraph, it does not belong to an equal subgraph. If it belongs to an equal subgraph, it also belongs to an equal subgraph because it remains unchanged)3. The X end is not in the staggered tree, and the Y end is in the edge (I, j) of the staggered tree. The value of a [I] + B [J] increases. It does not belong to an equal subgraph and does not belong to

The basic idea is to use the principle of rejection. Hoj 2576 gives a group of numbers x1.... XN and asks how many numbers can be exceeded from 1 to M. Hoj 2577 gives a group of numbers x1. .. XN and asks how many numbers can be exclusive from 1 to m to the unique number in the group. 2576 X1 + X2 + X3-X1 * x2-X1 * X3-X2 * X3 + X1 * X2 *

Enum) Enumeration is a set of named Integer constants, which are common in daily life.For example, an enumeration is used to indicate Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday of a week.The description of enumeration is similar to the structure and union in the form:Enum enumeration name {Identifier [= integer constant],Identifier [= integer constant],...Identifier [= integer constant],} Enumeration variables;If enumeration is not initialized, that is, when "= integer c

Research discuzx3 source code analysis sequence nbsp; someone on the Internet said that discuz source code analysis from. includecommon. inc. php file, but I downloaded discuz nbsp; x3, and none of them found this file... Nbsp; check whether there is any clue in the file. if you want to analyze discuz nbsp; x3, tell me a rough idea of the order of discuz x3 s

RectanglesTime limit:1000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)Total submission (s): 19110 Accepted Submission (s): 6187Problem Descriptiongiven-rectangles and the coordinates of the points on the diagonals of each rectangle,you has to C Alculate the area of the intersected part of the rectangles. Its sides is parallel to OX and OY.Inputinput the first line of input was 8 positive numbers which indicate the coordinates of four points that must being on EAC H Diagonal. Th

I thought of a method for this question: traverse all vertices in the rectangle area (xmin, ymin, xmax, Ymax) to see if they fall between the two sides. Then it's TLE. Query the problem-solving Report on the Internet. Understand the pick theorem: http://en.wikipedia.org/wiki/pick's_theorem // Pick Theorem// A = I + B/2-1 The area (integer) of a polygon is equal to the number of Integer Points (I) inside the polygon, plus half of the number of Integer Points (B) of the boundary, and then

Calculate the area of a triangle Time limit: 1000 ms Memory limit: 65536 KB Number of submissions: 1813 Pass: 622 "topic description" There is a triangle on the plane, its three vertex coordinates (x1, y1), (x2, y2), (x3, y3), then what is the area of the triangle, accurate to two decimal places. Enter Enter only one line, including 6 single-precision floating-point numbers, corresponding to x1, y1, x2, y2,

is no displacement before and after the transformation), and the coefficient i is adjusted to 1, so there is where p is the scale factor Write an equation PX ' = Ax + by (1) Py ' = Dx + Ey (2) p = Gx + Hy + 1 (3) In the Formula 3 elimination 1 and the formula 2 p, you get 2 equations Ax + by-gxx '-hyx ' = X ' (4) Dx + ey-gxy '-Hyy ' = Y ' (5) We assume that the coordinates of the unit square area consisting of point (0,0) (1,0) (0,1) (four) points are mapped to the target plane, respectively

Change of Change: There are an unlimited number of coins, the value of which is 25, 10, 5 and 1, please write code to calculate n there are several representations. Given an int n, there are several representations of how to return N. Ensure that n is less than or equal to 100000, in order to prevent overflow, please add the answer mod 1000000007. Test examples 6 Returns: 2 Dynamic planning Dp[i][sum] How many ways to make sum with I coins. Set the face value of a v1,v2,v3,v4 coin sum = v1*x1+

marked with either 0 or 1. Note that the variable ordering and the distribution of 0 's and 1 ' s on terminal nodes is sufficient to completely describ e an s-tree.As stated earlier, each s-tree represents a Boolean function f. If you have a s-tree and values for the variables x1,x2,..., xn, then it's quite simple-to-find out what f (x1,x2,..., xn) is: Start with the root. Now repeat the Following:if the node that is at was labelled with a variable XI and then depending on whether the value of

variable ordering and the distribution of 0 's and 1 ' s on terminal nodes is sufficient to completely describ e an s-tree. As stated earlier, each s-tree represents a Boolean function f. If you have a s-tree and values for the variables x1,x2,..., xn, then it's quite simple-to-find out what f (x1,x2,..., xn) Is:start with the root. Now repeat the Following:if the node that is at was labelled with a variable XI and then depending on whether the value of th e variable is 1 or 0 and you go it rig

This article is reproduced, this is the original link: Click to open the link The parent function is also called the generating function. The definition is given sequence: A0,A1,A2,....... ak,......, then function g (x) =a0+a1*x+a2*x2+......ak*xk is called sequence A0,A1,A2,....... AK,...... The parent function (that is, the build function). For example, the generating function for sequence 1,2,3.......N is: G (x) =x+2x2+3x3+........nxn. Click this link: Baidu Encyclopedia Special when the seq

9 47 0 36 1 0Output2 9 47 5 36 1 8 This question belongs to the maths problem ... It's easy to think of a formula, but it took me a long time to translate it into the equation we needed.The following examples illustrate0 9 47 0 36 1 0 Sum1=0+9+4=13 sum1=7+0+3=10 sum1=6+1+0=7 a[1][1]=x1, a[2][2]=x2, a[3][3]=x3, so there's sum1+x1==sum2+x2= =SUM3+X3==X1+X2+X3

); float x1 = Points[0]; float y1 = points[1]; float x2 = points[2]; float y2 = points[3]; Float x3 = points[4]; float y3 = points[5]; Float x4 = points[6]; float y4 = points[7]; Draw a border Canvas.drawline (x1, y1, x2, y2, Paintedge); Canvas.drawline (x2, y2, x4, Y4, Paintedge); Canvas.drawline (x4, Y4, X3, Y3, Paintedge); Canvas.drawline (

by equations (e.g., the unit circle equation is x2+y2=1). Elliptic curves are curves, and natural elliptic curves have equations. Definition of elliptic curve: An elliptic curve satisfies the equation on the projective plane Y2z+a1xyz+a3yz2=x3+a2x2z+a4xz2+a6z3----------------[3-1] , and each point on the curve is nonsingular (or smooth). Definition Detailed: ▲Y2Z+A1XYZ+A3YZ2 = x3+a2x2z+a4xz2+a6z3 is the

. Because the table name is longer can be abbreviated, the queried column name can also be abbreviated: SELECT column name as Alias 1, column name as alias 2 from table name alias 3 where Column name = condition value/select x3.a as ' number ', x3.b as ' content ' from name x3 Where X3.a=1, where as can be omitted.1-3.

The basic idea is to use the principle of rejection. Hoj 2576 gives a group of numbers x1.... xn and asks how many numbers can be exceeded from 1 to m. Hoj 2577 gives a group of numbers x1. .. xn and asks how many numbers can be exclusive from 1 to m to the unique number in the group. In fact, the principles are the same. hoj 2576 asks for a situation similar: The size of all regions covered by the Blue Line is x1 + x2 + x3-x1 * x2-x1 *

> Plot (x1,x2,+ main= ' two-course performance relationship ', #图标题 + xlab= ' math ', #x轴标签 + ylab= ' Chinese ', #y轴标签 + xlim=c (0,100), #x轴范围 + ylim=c (0,100), #y轴范围 + Xaxs= ' i ', #x轴类型 + yaxs= ' r ', + col= ' red ', #颜色 + pch=19) #点的大小　　> Qqnorm (x1) #测试x1是否是正态分布. A scatter plot > qqline (x1) #上面画出的散点图不能关闭 appears. Draw a straight line, the closer to the line, the more close to the normal distribution.　　> num=seq (1,100) #创建学号 > X1=round (runif (100,80,100)) #创建成绩, evenly distributed, 100 num