Add to ORKGMathematical values are usually computed using well-known mathematical formulas without thinking about their accuracy, which may turn awful with particular instances. This is the case for the computation of the area of a triangle. When the triangle is needle-like, the common formula has a very poor accuracy. Kahan proposed in 1986 an algorithm he claimed correct within a few ulps. Goldberg took over this algorithm in 1991 and gave a precise error bound. This article presents a formal proof of this algorithm, investigations in case of underflow and a new improvement of its error bound
Heron’s Formula is a formula used to find the area of a triangle using only its sides. This paper de...
Computing the area of an arbitrary polygon is a popular problem in pure mathematics. The two methods...
(For more articles & downloadable Sketchpad sketches) According to Cook & Wood (2004), the f...
Mathematical values are usually computed using well-known mathematical formulas without thinking abo...
International audienceMathematical values are usually computed using well-known mathematical formula...
From elementary geometry we learn that two triangles are congruent if their edges have the same leng...
This article provides a demonstration of the formula for calculating the area of a triangle (base ti...
It is evident for many people that the area of a rectangle can be calculated according to the very w...
In this paper, we give three area formulas for a triangle in the alpha plane in terms of the alpha d...
The formula for the area of a triangle can be developed by making an exact copy of the triangle and ...
This case study drawn from an elementary numerical analysis course is aimed at computer language des...
Since the time of ancient Greeks, mathematicians have been interested in finding the areas of basic ...
「算法天生法指南 巻之二」で取り上げられている長方形に内接する三角形の面積を求める問題のいくつかの解法を紹介する。これらは中学校・高等学校の教材として利用できる話題であると考えられる
There are known to be many methods for calculating the area of triangle. It is far easier to determi...
. This paper presents methods to calculate the 2D area (or the 3D volume) enclosed by a plane curve ...
Heron’s Formula is a formula used to find the area of a triangle using only its sides. This paper de...
Computing the area of an arbitrary polygon is a popular problem in pure mathematics. The two methods...
(For more articles & downloadable Sketchpad sketches) According to Cook & Wood (2004), the f...
Mathematical values are usually computed using well-known mathematical formulas without thinking abo...
International audienceMathematical values are usually computed using well-known mathematical formula...
From elementary geometry we learn that two triangles are congruent if their edges have the same leng...
This article provides a demonstration of the formula for calculating the area of a triangle (base ti...
It is evident for many people that the area of a rectangle can be calculated according to the very w...
In this paper, we give three area formulas for a triangle in the alpha plane in terms of the alpha d...
The formula for the area of a triangle can be developed by making an exact copy of the triangle and ...
This case study drawn from an elementary numerical analysis course is aimed at computer language des...
Since the time of ancient Greeks, mathematicians have been interested in finding the areas of basic ...
「算法天生法指南 巻之二」で取り上げられている長方形に内接する三角形の面積を求める問題のいくつかの解法を紹介する。これらは中学校・高等学校の教材として利用できる話題であると考えられる
There are known to be many methods for calculating the area of triangle. It is far easier to determi...
. This paper presents methods to calculate the 2D area (or the 3D volume) enclosed by a plane curve ...
Heron’s Formula is a formula used to find the area of a triangle using only its sides. This paper de...
Computing the area of an arbitrary polygon is a popular problem in pure mathematics. The two methods...
(For more articles & downloadable Sketchpad sketches) According to Cook & Wood (2004), the f...