Lebesgue rectangles are a simple geometric way to visualize how the Lebesgue integral builds up area by looking at slices of the range rather than slices of the domain. Instead of cutting the x-axis into intervals and stacking vertical rectangles, the Lebesgue approach groups together all points where the function takes values within a certain band. For each horizontal “slice” of height Δy, you look at the set of x-values where the function falls inside that slice, and then measure the total len
FacebookMathswithmuza
Lebesgue rectangles are a simple geometric way to visualize how the Lebesgue integral builds up area by looking at slices of the range rather than slices of the domain. Instead of
Mathswithmuza. Gibran Alcocer · Idea 15. Lebesgue rectangles are a simple geometric way to visualize how the Lebesgue integral builds up area by looking at slices of the range rather than slices of the domain. Instead of cutting the x-axis into intervals and stacking vertical rectangles, the Lebesgue approach groups together all points where ...
已浏览 8.1万 次1 个月前
Lebesgue Integral Explained
508K views · 19K reactions | Texas live oaks are an integral part of...
0:53
508K views · 19K reactions | Texas live oaks are an integral part of...
FacebookLayne Johnson Studio
已浏览 33.9万 次1 周前
Function of bounded variation | Real Analysis #realanalysis #trendingshorts #education #mscmaths
1:00
Function of bounded variation | Real Analysis #realanalysis #trendingshorts #education #mscmaths
YouTubeSpectrum of Mathematics
已浏览 25 次1 个月前
Functions of Bounded Variation Lemma | Lebesgue Measure Theory | Msc.Mathematics
13:17
Functions of Bounded Variation Lemma | Lebesgue Measure Theory | Msc.Mathematics
YouTubeSpectrum of Mathematics
3 个月之前
热门视频
In Lebesgue integration, a Lebesgue rectangle is one of the basic building blocks used to measure sets or approximate integrals. A rectangle in this sense does not always mean a shape you can draw on paper, but rather a product set formed from two intervals on the real line. For example, you can think of it as taking one interval along the x-axis and another along the y-axis, and then combining them into a rectangle-shaped region. These rectangles are used to cover parts of the domain of a funct
In Lebesgue integration, a Lebesgue rectangle is one of the basic building blocks used to measure sets or approximate integrals. A rectangle in this sense does not always mean a shape you can draw on paper, but rather a product set formed from two intervals on the real line. For example, you can think of it as taking one interval along the x-axis and another along the y-axis, and then combining them into a rectangle-shaped region. These rectangles are used to cover parts of the domain of a funct
FacebookMathswithmuza
已浏览 4.6万 次3 个月之前
Lebesgue defined the integral of a bounded measurable function ... | Filo
Lebesgue defined the integral of a bounded measurable function ... | Filo
askfilo.com
4 个月之前
Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem | Introduction to Functional Analysis | Mathematics | MIT OpenCourseWare
Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem | Introduction to Functional Analysis | Mathematics | MIT OpenCourseWare
mit.edu
3 个月之前
Lebesgue Measure Theory
Lebesgue paces L p // Chapter 5 // Part1 // Module 3// Measure Theory
47:11
Lebesgue paces L p // Chapter 5 // Part1 // Module 3// Measure Theory
YouTubeManasi's Maths Solution
已浏览 20 次3 周前
⚜Lebesgue measure theory Lemma⚜ #lebesgue #mscmaths #realanalysis #engineeringmathematics
0:16
⚜Lebesgue measure theory Lemma⚜ #lebesgue #mscmaths #realanalysis #engineeringmathematics
YouTubeSpectrum of Mathematics
已浏览 160 次1 个月前
MathxMatrix on Instagram: "The Lebesgue integral: a smarter way to calculate the area under a curve. While the traditional Riemann integral (what we learn in school) breaks area into vertical strips, the Lebesgue integral breaks it into horizontal slabs. For "nice" functions, they give the same answer. But Lebesgue is more powerful-using Measure Theory to handle "pathological" or jagged functions where traditional calculus fails. Original creation by @abidebyreason (also on YT)"
1:28
MathxMatrix on Instagram: "The Lebesgue integral: a smarter way to calculate the area under a curve. While the traditional Riemann integral (what we learn in school) breaks area into vertical strips, the Lebesgue integral breaks it into horizontal slabs. For "nice" functions, they give the same answer. But Lebesgue is more powerful-using Measure Theory to handle "pathological" or jagged functions where traditional calculus fails. Original creation by @abidebyreason (also on YT)"
Instagrammathxmatrix
已浏览 5103 次1 周前
In Lebesgue integration, a Lebesgue rectangle is one of the basic building blocks used to measure sets or approximate integrals. A rectangle in this sense does not always mean a shape you can draw on paper, but rather a product set formed from two intervals on the real line. For example, you can think of it as taking one interval along the x-axis and another along the y-axis, and then combining them into a rectangle-shaped region. These rectangles are used to cover parts of the domain of a funct
In Lebesgue integration, a Lebesgue rectangle is one of the basic buildi…
已浏览 4.6万 次3 个月之前
FacebookMathswithmuza
Lebesgue defined the integral of a bounded measurable function ... | Filo
Lebesgue defined the integral of a bounded measurable function ... | …
4 个月之前
askfilo.com
Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem | Introduction to Functional Analysis | Mathematics | MIT OpenCourseWare
Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral …
3 个月之前
mit.edu
LEBESGUE THEORY: AN OVERVIEW (Part 3)
43:03
LEBESGUE THEORY: AN OVERVIEW (Part 3)
3 个月之前
YouTubeKEdu4All (Knowledge_and_Education_4_All)
LEBESGUE THEORY: AN OVERVIEW (Part 1)
1:12:19
LEBESGUE THEORY: AN OVERVIEW (Part 1)
3 个月之前
YouTubeKEdu4All (Knowledge_and_Education_4_All)
Lebesgue Measure Theory | MscMathematics #realanalysis #matemática #mscmaths #italodisco #viral
0:53
Lebesgue Measure Theory | MscMathematics #realanalysis #m…
已浏览 1 次3 个月之前
YouTubeSpectrum of Mathematics
LEBESGUE THEORY: Examples
1:24:57
LEBESGUE THEORY: Examples
3 个月之前
YouTubeKEdu4All (Knowledge_and_Education_4_All)
1:06:51
LEBESGUE THEORY: AN OVERVIEW (Part 2)
3 个月之前
YouTubeKEdu4All (Knowledge_and_Education_4_All)
18:22
What is Lebesgue integral? 📐🤯 The mathematical genius who revoluti…
已浏览 1 次3 个月之前
YouTube夢工房 まほろば
13:41
Lebesgue Measure Theory Lemma | Real Analysis | Msc.Mathematics #…
已浏览 10 次1 个月前
YouTubeSpectrum of Mathematics
Riemann Integral vs. Lebesgue Integral
已浏览 39.7万 次2018年10月31日
YouTubeThe Bright Side of Mathematics
1:08
Instagram
已浏览 7.9万 次7 个月之前
Instagrammathematics.peter
19:25
Riemann integral vs. Lebesgue integral （黎曼积分 vs 勒贝格积分）
已浏览 3975 次2020年3月1日
bilibilizahlkorper
44:54
2.1 Lebesgue Integral-Bounded Measurable Functions
已浏览 113 次2020年4月4日
bilibili与知学堂
33:28
Lebesgue Measure and its Properties
已浏览 1.4万 次2017年8月20日
YouTubeMeasure Theory
55:40
Lecture 14. Lebesgue Spaces
已浏览 1505 次2023年7月29日
bilibiliYituan_Liu
26:23
Lebesgue Integral Overview
已浏览 10.9万 次2018年2月9日
YouTubeDr Peyam
22:44
Riemann Integration Part 1
已浏览 1.1万 次2021年2月23日
YouTubeElliot Nicholson
10:59
Introduction to Integral Calculus
已浏览 2558 次2021年3月5日
YouTubeEasy Engineering
8:02
Definite Integral Using Limit Definition
已浏览 18.6万 次2014年11月17日
YouTubeThe Math Sorcerer
17:00
Lebesgue-Integral versus Riemann-Integral
已浏览 4.1万 次2017年11月5日
YouTubeWeitz / HAW Hamburg
23:01
Measure Theory 6 | Lebesgue Integral
已浏览 14万 次2019年9月29日
YouTubeThe Bright Side of Mathematics
13:55
Measure Theory 13 | Lebesgue-Stieltjes Measures
已浏览 4.6万 次2019年11月19日
YouTubeThe Bright Side of Mathematics
9:02
Measure Theory 3.1 : Lebesgue Integral
已浏览 2.2万 次2018年1月20日
YouTubeFematika
25:07
Intégrale de Lebesgue - Lebesgue # 8
已浏览 3.6万 次2019年3月30日
YouTubeMaths Adultes
9:54
A horizontal integral?! Introduction to Lebesgue Integration
已浏览 37.1万 次2020年7月9日
YouTubevcubingx
9:14
❖ The Definite Integral - Understanding the Definition ❖
已浏览 84.2万 次2008年8月30日
YouTubePatrick JMT
14:49
Riemann integral vs. Lebesgue integral
已浏览 6.3万 次2017年2月10日
YouTubeThe Bright Side of Mathematics
21:29
Introduction à la théorie de la mesure - Lebesgue # 1
已浏览 16.2万 次2018年12月28日
YouTubeMaths Adultes
观看更多视频
静态缩略图占位符