Real analysis

Layer cake representation

In mathematics, the layer cake representation of a non-negative, real-valued measurable function f defined on a measure space is the formula for all , where denotes the indicator function of a subset and denotes the super-level set The layer cake representation follows easily from observing that and then using the formula The layer cake representation takes its name from the representation of the value as the sum of contributions from the "layers" : "layers"/values t below contribute to the integral, while values t above do not. An important consequence of the layer cake representation is the identity which follows from it by applying the Fubini-Tonelli theorem. An important application is that for can be written as follows which follows immediately from the change of variables in the layer cake representation of . (Wikipedia).

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How to make fondant cakes - complete tutorial - Part 1

In this video, I describe how I make fondant cakes. Cake recipe: http://www.recipezaar.com/recipe/Dark-Chocolate-Cake-2496 Buttercream frosting recipe: http://www.recipezaar.com/Vanilla-Buttercream-Frosting-From-Sprinkles-Cupcakes-222188 Part 2 - http://www.youtube.com/watch?v=SaBI6I

From playlist Tutorials

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Photoshop: Understanding Layers

In this video, you’ll learn more about layers in Photoshop. Visit https://www.gcflearnfree.org/photoshopbasics/understanding-layers/1/ for our text-based lesson. This video includes information on: • Creating, duplicating, and deleting layers • Showing and hiding layers • Reordering and e

From playlist Photoshop

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Layer styles in Adobe Photoshop Ep16/33 [Adobe Photoshop for Beginners]

In Photoshop we have a function called Layer styles. Layer styles offer a range of visual effects that you can be applied to layers within the layers panel. In this tutorial I am going to discuss the Layer style feature and later I will demonstrate some examples which you can follow alon

From playlist TastyTuts: Learn Adobe Photoshop | CosmoLearning.org

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How It's Made: Wedding Cakes

Stream Full Episodes of How It's Made: discovery+ ► https://www.discoveryplus.com/show/how-its-made Science ► https://www.sciencechannel.com/tv-shows/how-its-made/ Subscribe to Science Channel: http://bit.ly/SubscribeScience Like us on Facebook: https://www.facebook.com/ScienceChannel F

From playlist How It's Made

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I've never baked a cake on my own before. Today, I bake one, only using advice from chat. We are meant to be roughly following the Chemplayer chocolate cake recipe, but I think people forgot that. Original description: Another stream from my kitchen, where we will be making this cake rec

From playlist Live Streams

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This version features a chocolate truffle base under a layer of marble cheesecake. The decoration on the top is known as a napoleon design. #HowItsMade Mondays 9/8c on Science http://www.sciencechannel.com/tv-shows/how-its-made/ Subscribe to Science Channel: http://bit.ly/SubscribeScienc

From playlist How It's Made

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Dynamic Layering Brick Histogram

A dynamic granular layering of density brick empirical distribution

From playlist Prob and Stats

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How to Make Pound Cake

Recipe at: http://ciaprochef.com/canola/recipe5/ This pound cake recipe reduces the amount of butter normally used in pound cake by half. The lemon zest and vanilla bean infused canola oil adds great flavor while reducing the amount of saturated fat.

From playlist Culinary Institute of America: Cooking Demonstrations | CosmoLearning.org Culinary

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A friendly introduction to Deep Learning and Neural Networks

Announcement: New Book by Luis Serrano! Grokking Machine Learning. bit.ly/grokkingML 40% discount code: serranoyt A friendly introduction to neural networks and deep learning. This is a follow up to the Introduction to Machine Learning video. https://www.youtube.com/watch?v=IpGxLWOIZy4

From playlist Nirvana course

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How to make fondant cakes - complete tutorial -Part 2

Cake: http://www.recipezaar.com/recipe/Dark-Chocolate-Cake-2496 Buttercream frosting: http://www.recipezaar.com/Vanilla-Buttercream-Frosting-From-Sprinkles-Cupcakes-222188 Fondant: http://whatscookingamerica.net/PegW/Fondant.htm Part 1 - http://www.youtube.com/watch?v=_Ihibizyr

From playlist Tutorials

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FNet: Mixing Tokens with Fourier Transforms – Paper Explained

Ms. Coffee Bean explains and visualizes the paper "FNet: Mixing Tokens with Fourier Transforms" and what it all has to do with 🍰. Get some coffee and join Ms. Coffee Bean for this video! ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ 🔥 Optionally, pay us a coffee to boost our Coffee Bean production! ☕ Patreo

From playlist The Transformer explained by Ms. Coffee Bean

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IJCAI-ECAI 2018 | Yann LeCun | Learning World Models: the Next Step Towards AI.

Watch this video with AI-generated Table of Content (ToC), Phrase Cloud and In-video Search here: https://videos.videoken.com/index.php/videos/ijcai-ecai-2018-yann-lecun-learning-world-models-the-next-step-towards-ai/

From playlist AI talks

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Jong Chul Ye: "Geometric Understanding of Supervised and Unsupervised Deep Learning for Biomedic..."

Deep Learning and Medical Applications 2020 "Geometric Understanding of Supervised and Unsupervised Deep Learning for Biomedical Image Reconstruction" Jong Chul Ye - Korea Advanced Institute of Science and Technology (KAIST), Bio and Brain Engineering/Mathematics Abstract: Recently, deep

From playlist Deep Learning and Medical Applications 2020

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Natural Language Processing: Crash Course AI #7

For more information go to https://curiositystream.com/crashcourse So far in this series, we've mostly focused on how AI can interpret images, but one of the most common ways we interact with computers is through language - we type questions into search engines, use our smart assistants l

From playlist Artificial Intelligence

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VirTex: Learning Visual Representations from Textual Annotations (Paper Explained)

Pre-training a CNN backbone for visual transfer learning has recently seen a big push into the direction of incorporating more data, at the cost of less supervision. This paper investigates the opposite: Visual transfer learning by pre-training from very few, but very high-quality samples

From playlist Papers Explained

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SDS 513: Transformers for Natural Language Processing — with Denis Rothman

Denis Rothman joins us to discuss his writing work in natural language processing, explainable AI, and more! In this episode you will learn: • What are transformers and their applications? [5:49] • Denis’s book on explainable AI [23:01] • AI by Example [35:47] • LinkedIn audience question

From playlist Super Data Science Podcast

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Kaggle Reading Group: Attention is All You Need | Kaggle

Join Kaggle Data Scientist Rachael as she reads through an NLP paper! Today's paper is "Attention is All You Need" (Vaswani et al 2017). You can find a copy here: https://papers.nips.cc/paper/7181-attention-is-all-you-need.pdf SUBSCRIBE: http://www.youtube.com/user/kaggledotcom?sub_confir

From playlist Kaggle Reading Group | Kaggle

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Deep Learning and the Future of AI | Yann LeCun | Talk 1/2

Over the last few years, rapid progress in AI have enabled our smartphones, social networks, and search engines to understand our voice, recognize our faces, and identifiy objects in our photos with very good accuracy. These improvements are due in large part to the emergence of a new clas

From playlist AI talks

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Where Did Pound Cake Get Its Name?

Where did pound cake get its name? It isn't like you have to pound the dough or any of the ingredients in order to get this dense, delicious treat. The answer lies with the amount of ingredients used in the original recipe! Back in the day, a pound cake called for one pound of flour, one

From playlist Concerning Fun Facts

Related pages

Mathematics | Level set | Measure space | Negative number | Symmetric decreasing rearrangement | Fubini's theorem | Real number | Indicator function | Measurable function