Binary trees | Sorting algorithms

Cartesian tree

In computer science, a Cartesian tree is a binary tree derived from a sequence of numbers; it can be uniquely defined from the properties that it is heap-ordered and that a symmetric (in-order) traversal of the tree returns the original sequence. Introduced by in the context of geometric range searching data structures, Cartesian trees have also been used in the definition of the treap and randomized binary search tree data structures for binary search problems. The Cartesian tree for a sequence may be constructed in linear time using a stack-based algorithm for finding all nearest smaller values in a sequence. (Wikipedia).

Cartesian tree
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Coordinate plane

A brief overview of the Cartesian plane

From playlist Geometry: Cartesian Plane

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(ML 2.1) Classification trees (CART)

Basic intro to decision trees for classification using the CART approach. A playlist of these Machine Learning videos is available here: http://www.youtube.com/my_playlists?p=D0F06AA0D2E8FFBA

From playlist Machine Learning

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Cartesian Coordinates

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

From playlist Coordinate Systems

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Intermediate Algebra-Cartesian Coordinate System

Intermediate Algebra-Cartesian Coordinate System

From playlist Intermediate Algebra

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Cartesian coordinates | Lecture 2 | Vector Calculus for Engineers

Defines Cartesian coordinates, unit vectors, the position vector and the displacement vector. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://

From playlist Vector Calculus for Engineers

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What is the Cartesian Plane? | Don't Memorise

To learn more about Co-ordinate Geometry, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=LqrHvGAaNDI&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 Cartesian plane 0:14 quadrants 1:34 posi

From playlist Middle School Math - Graphs and Statistics

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The Basics of Sets | Cartesian Products

We define the Cartesian product of sets and work through several examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile:

From playlist Proof Writing

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What is the Cartesian Product of Sets? | Set Theory

What is the Cartesian product of two sets? The Cartesian product can be generalized to more than two sets, but in this video we go over Cartesian products of two sets! Here is how it works. If you have two sets, A and B, then their Cartesian product, written A x B, is the set containing al

From playlist Set Theory

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Why You Should STOP Using (x, y, z) Coordinates (in certain scenarios) - Polar Coordinates, Parth G

Offset your carbon footprint on Wren: https://www.wren.co/start/parthg The first 100 people who sign up will have 10 extra trees planted in their name! #polarcoordinates #coordinatesystem #cartesian Many of us will be familiar with the concept of using coordinates to represent positions i

From playlist Classical Physics by Parth G

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Chris Godsil: Problems with continuous quantum walks

Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the proper

From playlist Combinatorics

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Discrete Math II - 6.1.1 The Rules of Sum and Product

In many of the videos in the Discrete Math II playlist, we will revisit some of the topics learned in Discrete Math I, but go into depth on the topics. That means that while the content or section numbers may the same, the application will be more complex. I've also tried to include differ

From playlist Discrete Math II/Combinatorics (entire course)

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From joins to aggregates and optimisation problems: Professor Dan Olteanu, University of Oxford

This is an advanced data science class on recent advances on the foundations of database query processing. The first part details a recent body of work on worst-case optimal join algorithms for a range of data representation formalisms, including the LeapFrog TrieJoin algorithm for relati

From playlist Data science classes

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Spatial Events-Spatial Statistics

Spatial point patterns are collections of randomly positioned events in space. Examples include trees in a forest, positions of stars, earthquakes, crime locations, animal sightings, etc. Spatial point data analysis, as a statistical exploration of point patterns, aims to answer questions

From playlist Wolfram Technology Conference 2022

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Multidimensional spaces -- Calculus III

This lecture is on Calculus III. It follows Part III of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus III

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The distance formula in multidimensional spaces... and vectors too -- Calculus III

This lecture is on Calculus III. It follows Part III of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus III

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Parabolas: Summary of Cartesian Formulas

More resources available at www.misterwootube.com

From playlist Graphing Techniques

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3.2: Trigonometry and Polar Coordinates - The Nature of Code

Chapter: 3 Official book website: http://natureofcode.com/ Twitter: https://twitter.com/shiffman added annotations This video describes the basics of trigonometry and how to use polar coordinates in Processing. Read along: http://natureofcode.com/book/chapter-3-oscillation/#chapter03_s

From playlist 3: Oscillation - The Nature of Code

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Jules Hedges - compositional game theory - part I

Compositional game theory is an approach to game theory that is designed to have better mathematical (loosely “algebraic” and “geometric”) properties, while also being intended as a practical setting for microeconomic modelling. It gives a graphical representation of games in which the flo

From playlist compositional game theory

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The Cartesian system in dimension 3 -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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Professor Dan Olteanu - University of Oxford

Dan Olteanu is Professor of Computer Science at Oxford and Computer Scientist at RelationalAI. He also consulted for LogicBlox and taught at the universities of California Berkeley, Munich, Saarland, and Heidelberg. He received his PhD in Computer Science from University of Munich in 2005.

From playlist Short Talks

Related pages

Widest path problem | Lowest common ancestor | Sorting algorithm | Selection sort | All nearest smaller values | Logarithm | Binary heap | Ultrametric space | Range searching | Merge algorithm | Permutation | Parallel algorithm | Minimum spanning tree | Priority queue | Binary search tree | Path graph | Potential method | Treap | Tree traversal | Heap (data structure) | Communications of the ACM | Tree rotation | Binary tree