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สมัครสมาชิก | คู่มือการใช้ | รายชื่อสมาชิก | ปฏิทิน | ข้อความวันนี้ | ค้นหา |
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เครื่องมือของหัวข้อ | ค้นหาในหัวข้อนี้ |
#1
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Interval arithmetic
Interval arithmetic เลขคณิต แหมช่างคิด ให้เรียน เพียรศึกษา แนวแปลกใหม่ จึงเสนอ พิจารณา เรื่องไรหวา ลองจาร ให้อ่านกัน |
#2
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Interval arithmetic is a mathematical technique used to put bounds on rounding errors and measurement errors in mathematical computation. Numerical methods using interval arithmetic can guarantee reliable, mathematically correct results. Wiki 06 กันยายน 2020 18:31 : ข้อความนี้ถูกแก้ไขแล้ว 1 ครั้ง, ครั้งล่าสุดโดยคุณ share |
#3
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https://mauriciopoppe.github.io/interval-arithmetic/
Interval arithmetic Instead of using a single floating point number as an approximation of a real number, interval arithmetic represents the approximated value as a set of possible values (considering the numbers that floating point cannot represent), let's say we want to represent the number 1 / 3, as a single floating point number it's approximated as 0.333333..., in the end there will be some 333... decimals that will be lost due to the nature of floating point, instead we can represent this number with the interval [0.2, 0.4], with this interval we're completely sure that 1 / 3 is within the interval (although the interval is also representing many more numbers), to improve the scope of the interval we have to understand that numbers in JavaScript are represented with 64 bits, therefore to get the next floating point number of a single precision number the last bit needs to be incremented to get the upper bound, and the last bit also needs to be decremented to get the lower point 07 กันยายน 2020 12:25 : ข้อความนี้ถูกแก้ไขแล้ว 2 ครั้ง, ครั้งล่าสุดโดยคุณ share |
#4
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Description
An interval is a pair of numbers which represents all the numbers between them, closed means that the bounds are also included in the representation, extended real because the real number system is extended with two elements: -∞ and +∞ representing negative infinity and positive infinity respectively. The implementation is a modified port of the Boost's interval arithmetic library, the modifications are based on some guidelines from the following papers/presentations: Interval Arithmetic: from Principles to Implementation - T. Hickey, Q. Ju, M.H. van Emden Interval Arithmetic: Python Implementation and Applications - Stefano Taschini The Boost interval arithmetic library - Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion Graphing equations with generalized interval arithmetic - Jeffrey Allen Tupper Floating point operations Floating point is a way to represent a real number in an approximate way (due to the finite space existing on a computer), most calculations with real numbers will produce quantities that cannot be exactly represented with the space allocated and therefore this operation needs to be rounded in order to fit back into its finite representation, such errors are described in more detail here |
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หัวข้อ | ผู้ตั้งหัวข้อ | ห้อง | คำตอบ | ข้อความล่าสุด |
Interval of Set ????? | mildz | ปัญหาคณิตศาสตร์ ม.ปลาย | 4 | 03 เมษายน 2010 19:51 |
Arithmetic Function ..Proof ให้หน่อยนะ | Math.NU | ทฤษฎีจำนวน | 5 | 31 มกราคม 2010 01:19 |
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