Order theory | Real analysis | Mathematical terminology
In mathematics, particularly in order theory, an upper bound or majorant of a subset S of some preordered set (K, ≤) is an element of K that is greater than or equal to every element of S. Dually, a lower bound or minorant of S is defined to be an element of K that is less than or equal to every element of S. A set with an upper (respectively, lower) bound is said to be bounded from above or majorized (respectively bounded from below or minorized) by that bound. The terms bounded above (bounded below) are also used in the mathematical literature for sets that have upper (respectively lower) bounds. (Wikipedia).
GCSE Upper and Lower Bounds Introduction Measures of Accuracy
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist GCSE Upper and Lower Bounds
GCSE Upper and Lower Bounds Example 1
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist GCSE Upper and Lower Bounds
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool In this video we are going to look at how to calculate with upper and lower bounds. To find the upper bound of an addition or of an area, you would want to multiply the upper bounds of both measurements, as this would g
From playlist MATHS: Numbers
GCSE Upper and Lower Bounds Example 2
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist GCSE Upper and Lower Bounds
Upper & Lower Bounds | Number | Maths | FuseSchool
Upper & Lower Bounds | Number | Maths | FuseSchool In this video we discover what bounds. All measurements are approximate. Measurements are given to the nearest practical unit, like a cm or mm or gram. There is then a group of numbers that the original measurement is somewhere between. T
From playlist MATHS: Numbers
Upper and Lower Bound In this video, I define what it means for a set to be bounded above and bounded below. This will be useful in our definition of inf and sup. Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
Math 101 091317 Introduction to Analysis 06 Introduction to the Least Upper Bound Axiom
Definition of the maximum (minimum) of a set. Existence of maximum and minimum for finite sets. Definitions: upper bound of a set; bounded above; lower bound; bounded below; bounded. Supremum (least upper bound); infimum (greatest lower bound). Statement of Least Upper Bound Axiom (com
From playlist Course 6: Introduction to Analysis (Fall 2017)
Using Bounds to Calculate Further Bounds
"Use lower and upper bounds within calculations to calculate a further lower/upper bound."
From playlist Number: Rounding & Estimation
Math 101 091517 Introduction to Analysis 07 Consequences of Completeness
Least upper bound axiom implies a "greatest lower bound 'axiom'": that any set bounded below has a greatest lower bound. Archimedean Property of R.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Bounds - Upper and Lower Bound Calculations | Grade 7-9 Maths Series | GCSE Maths Tutor
A video revising the techniques and strategies for looking at bounds calculations (Higher Only). This video is part of the Bounds module in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend 💎 Casio fx-83GTX Scientific Calculat
From playlist GCSE Maths Videos
Math 131 090516 Lecture #02 LUB property, Ordered Fields
Least Upper Bound Property and Greatest Lower Bound Property; Fields; Properties of Fields; Ordered Fields and properties; description of the real numbers (ordered field with LUB property containing rational numbers as subfield); Archimedean property #fields #orderedfields #leastupperboun
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Math 101 Introduction to Analysis 091815: Least Upper Bound Axiom
The least upper bound axiom. Maximum and minimum of a set of real numbers. Upper bound; lower bound; bounded set. Least upper bound; greatest lower bound.
From playlist Course 6: Introduction to Analysis
Lecture 18 | Convex Optimization II (Stanford)
Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd's final lecture of the quarter is on Branch-and-bound methods. This course introduces topics such as subgradient, cutting-plane, and ellipsoid methods
From playlist Lecture Collection | Convex Optimization
Real Analysis | The Supremum and Completeness of ℝ
We look at the notions of upper and lower bounds as well as least upper bounds and greatest lower bounds of sets of real numbers. We also prove an important classification lemma of least upper bounds. Finally, the completeness axiom of the real numbers is presented. Please Subscribe: ht
From playlist Real Analysis
Definition of Supremum and Infimum of a Set | Real Analysis
What are suprema and infima of a set? This is an important concept in real analysis, we'll be defining both terms today with supremum examples and infimum examples to help make it clear! In short, a supremum of a set is a least upper bound. An infimum is a greatest lower bound. It is easil
From playlist Real Analysis
What are Bounded Sequences? | Real Analysis
What are bounded sequences? We go over the definition of bounded sequence in today's real analysis video lesson. We'll see examples of sequences that are bounded, and some that are bounded above or bounded below, but not both. We say a sequence is bounded if the set of values it takes on
From playlist Real Analysis
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Optimisation: Linear Integer Programming - Professor Raphael Hauser
Bio Raphael Hauser studied Mathematics and Theoretical Physics at the EPFL and ETH in Lausanne and Zurich, Switzerland, followed by a PhD in Operations Research at Cornell University in Ithaca, USA. After a postdoc at Cambridge, Raphael joined the faculty at the University of Oxford, wher
From playlist Data science classes