Applied mathematics | Recreational mathematics
Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time. In the 19th century, the Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. The German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth. In the 20th century, the British mathematician Alan Turing predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes. The Hungarian biologist Aristid Lindenmayer and the French American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth patterns. Mathematics, physics and chemistry can explain patterns in nature at different levels and scales. Patterns in living things are explained by the biological processes of natural selection and sexual selection. Studies of pattern formation make use of computer models to simulate a wide range of patterns. (Wikipedia).
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From playlist Be Smart - LATEST EPISODES!
ArrrrCamp 2014- Patterns, patterns everywhere
By, Grzegorz Witek They're everywhere. They're on the leaf that falls from the tree straight on your head. They're on the building you pass everyday morning. They're on the socks you wear today and in the code you write. Patterns. Design patterns are defined as general, reused solutions t
From playlist ArrrrCamp 2014
Exploring an amazing pattern that forms when we multiply numbers built only with the one digit
From playlist Number Patterns
Fractal Patterns - Science Snack Activity
Make dendritic diversions and bodacious branches. Lightning bolts, river deltas, tree branches, and coastlines are all examples of patterns in nature called fractals. In this Snack, you get a striking hands-on introduction to fractal patterns and how they’re formed. For the full snack :
From playlist Science Snacks | Exploratorium
Understanding Design patterns | Why Design Patterns | Design patterns Tutorial for Beginners
Watch Sample Class recording: http://www.edureka.co/design-patterns?utm_source=youtube&utm_medium=referral&utm_campaign=und-design-patterns Design patterns are solutions to software design problems you find again and again in real-world application development. Patterns are about reusabl
From playlist Design Patterns Videos
Thinking in Patterns - Level 1 - Observational Patterns
Thinking slides: https://docs.google.com/presentation/d/1WtAN_ROsYRQe4wqznbP3nna0CWKYicUFe_JOOUx4PpA/template/preview The Wonder of Science: https://thewonderofscience.com/mlccc11 A mini-lesson on observational patterns.
From playlist Conceptual Thinking Mini-Lessons
Thinking in Patterns - Level 4 - Patterns in Data
Thinking slides: https://docs.google.com/presentation/d/1uFpk3l_zgillcHl9fMUErUlE9ysey2yJZJCEgPgbLc8/template/preview The Wonder of Science: https://thewonderofscience.com/mlccc14 A mini-lesson about patterns in data.
From playlist Conceptual Thinking Mini-Lessons
Thinking in Patterns - Level 2 - Patterns of Change
Thinking slides:https://docs.google.com/presentation/d/1fTBWNBlymVhjzwTH-81G5Gf1hvXJ0zhbsrtKAxOpvXM/template/preview The Wonder of Science: https://thewonderofscience.com/mlccc12 A mini-lesson on patterns of change.
From playlist Conceptual Thinking Mini-Lessons
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Scientists Find Our World Could Be Ruled By Secret Patterns | A Natural Code
Scientists are using Alan Turing's theory about patterns to grasp a better understanding of nature's hidden design; from tracking migrating birds, to conserving whale sharks across the world. » Subscribe to Seeker! http://bit.ly/subscribeseeker » Visit our shop at http://shop.seeker.com »
From playlist Seeker Indie
Stanford Seminar - Fingerprinting the Climate System
Benjamin D. Santer Lawrence Livermore National Laboratory May 22, 2019 Fingerprint research seeks to improve understanding of the nature and causes of climate change. The basic strategy is to search for model-predicted patterns of climate change ("fingerprints") in observed climate record
From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series
Jeremy Lent on Cultural Mindfulness- Contemplation By Design Summit 2018, Stanford University
Our mainstream culture is built on unexamined structures of thought inherited from previous generations. In this talk, followed by interactive practice and discussion, Jeremy Lent will identify historical foundations of our modern worldview and show how, by becoming mindful of our patterns
From playlist Contemplation By Design
The Fundamental Patterns that Explain the Universe - with Brian Clegg
From the cosmic microwave background to Feynman diagrams - what are the underlying rules that work to create patterns of action, force and consequence that make up our universe? Brian's new book "Ten Patterns That Explain the Universe" is available now: https://geni.us/clegg Watch the Q&A:
From playlist Ri Talks
The Link Between Zebra Stripes and Sand Dunes | Natural Patterns
Stripes! Hexagons! They're everywhere! These patterns in nature might seem like aesthetic coincidences, but they are actually the result of physical process that show up again and again, even in otherwise unrelated phenomena. Hosted by: Stefan Chin SciShow has a spinoff podcast! It's cal
From playlist Uploads
What A General Diagonal Argument Looks Like (Category Theory)
Diagonal Arguments are a powerful tool in maths, and appear in several different fundamental results, like Cantor's original Diagonal argument proof (there exist uncountable sets, or "some infinities are bigger than other infinities"), Turing's Halting Problem, Gödel's incompleteness theor
From playlist Summer of Math Exposition 2 videos
Delicia Kamins - Philosophy of Fractals - CoM Oct 2020
We know that fractals are nature’s pattern makers. Fractals are in fact everywhere we look: tree bark, snowflakes, mountain ranges, cloud, rivers, seashells, all the way up to the shape of galaxies. Beyond nature, however, human beings are fractal thinkers. We depend on fractal algorithms
From playlist Celebration of Mind
Patterns in Nature and human Visual Perception by Ann Hermundstad
Information processing in biological systems URL: https://www.icts.res.in/discussion_meeting/ipbs2016/ DATES: Monday 04 Jan, 2016 - Thursday 07 Jan, 2016 VENUE: ICTS campus, Bangalore From the level of networks of genes and proteins to the embryonic and neural levels, information at var
From playlist Information processing in biological systems
Integrating Exponential Functions Base a Calculus 1 AB
I introduce how to integrate exponential functions with base a. I derive the integration rule and then work through 4 examples. Derivation at 3:46 EXAMPLES at 9:25 15:00 17:57 24:50 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation
From playlist Calculus
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Qualities of Science | History and Philosophy of Astronomy 2.04
Learn about the history and philosophy of astronomy from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona, with our Knowing the Universe: History and Philosophy of Astronomy course here on YouTube. This video is part of module 2, Greek Science
From playlist History and Philosophy Course Module 2: Greek Science