三角形

Remark: the incentre of a triangle is the point of intersection ofthe three interior angle bisectors of the triangle.

注：三角形的内心为该三角形三条内角平分线的交点。

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

A fast algorithm for simple polygon triangulation is presented. Its thought is based on the dynamic judgment of interior angle. If the angle of point is smaller than 180 degree and includes no other points, then the point is connected into triangle. The data structure that enhances the efficiency of the algorithm is designed.

提出了一种内角动态判定的简单多边形三角剖分算法，该算法的思想是对多边形相邻三角点构成的内角进行动态判断，如果小于180度且组成的三角形是否包含其它点，则连成三角形，并设计了有利于算法快速实现的数据结构。

The triangular face internal pixel color under the vertex color diffuse reflectance, it is a triangular gradient colors surface.

该三角形面内部的像素颜色根据顶点颜色进行漫反射，因此是一个颜色渐变的三角形面。

In the figure, an isosceles triangle ABC can be divided into 2 smaller isosceles

图中等腰三角形ABC 能被分成两个小等腰三角形。

Triangle with two equal sides is called isosceles triangle.

*有两条边相等的三角形叫做等腰三角形。

Isosceles triangle: move the yellow dot on one vertex to modify the triangle type.

等腰三角形：移动顶点上的黄点修改三角形类型。

The program incorrectly classifies this triangle as a scalene triangle instead of classifying it as an isosceles triangle.

程序错误的把这个等腰三角形划分成了不等边三角形。

Fast Line Integral Convolution with constant filter kernels as well as with triangular filter kernels are presented,which are faster than the original Line Integral Convolution approach about an order of magnitude in rendering actual vector fields.

针对这个问题实现了基于常数滤波卷积核的快速线积分卷积算法，提出并论证了基于三角形滤波卷积核的快速线积分卷积算法，对于实际矢量场，上述两种方法均将运算速度提高了一个数量级，而基于三角形滤波卷积核的快速线积分卷积算法的结果使图像更加平滑。

The paper introduces the principle of this method, analyzes its correcting effects changed with noise and spectrum line numbers used, the simulation result is also given.

该文介绍了三角形法频谱校正的原理，分析了三角形法校正效果随信噪比以及参与校正的谱线根数变化情况，并给出了仿真结果。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。