SKU: 38337654087

Operator Theory and Analysis of Infinite Networks

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Operator Theory and Analysis of Infinite NetworksThis volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e. g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social networks. Indeed, network analysis plays a crucial role

This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social networks. Indeed, network analysis plays a crucial role in many other areas of data science and engineering. In these models, the weights on the edges may be understood as conductances, or as a measure of similarity. Resistance networks also arise in probability, as they correspond to a broad class of Markov chains.

 

The present volume takes the nonstandard approach of analyzing resistance networks from the point of view of Hilbert space theory, where the inner product is defined in terms of Dirichlet energy. The resulting viewpoint emphasizes orthogonality over convexity and provides new insights into the connections between harmonic functions, operators, and boundary theory. Novel applications to mathematical physics are given, especially in regard to the question of self-adjointness of unbounded operators.

 

New topics are covered in a host of areas accessible to multiple audiences, at both beginning and more advanced levels. This is accomplished by directly linking diverse applied questions to such key areas of mathematics as functional analysis, operator theory, harmonic analysis, optimization, approximation theory, and probability theory.

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SKU: 38337654087

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Lady Godzilla
Louisville, US
★★★★★ 5
Color-treated hair that looks fabulous!
Scent: Mango & Hibiscus, Size: 12 Fl Oz (Pack of 1)
I received a small sample of this shampoo as part of a Whole Foods 12 Days of Beauty holiday promotion. Normally those boxes are loaded with third-rate products the store is trying to promote. Well, not this time. I was desperate to find a shampoo that would clean my color-treated but very, very fine hair without stripping the color or weighing it down with far too much moisture - bordering on greasy. This shampoo has really been a game changer for me (going grey or shaving my head were considerations). It gently cleans my hair (and scalp) with no down-side results, and smells divine. My hair looks healthy & fluffy (no greasiness!) all day long and even into the following day. Added bonus - genuine shine. I must add that I have pretty short hair so I honestly don’t need much to clean me up, although I do wash it daily. The amount in the carton is smaller than a lot of brands out there but, in my situation, I feel I am getting value for my money. My expensive dye-job looks awesome every single day - so you’ve gotta weigh your choices. It’s working well for me and it just might be a solution for you but you won’t know unless you try it.
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Reviewed in the United States on January 5, 2025
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Kelsey Floyd
San Leandro, US
★★★★★ 5
Nourishing mango & hibiscus - LOVE!!
Scent: Mango & Hibiscus, Size: 12 Fl Oz (Pack of 1)
I was looking for a clean nontoxic alternative to my usually shampoo and conditioner. I’ve alternated around between the expensive salon-grade and Sephora products for the past 10 years. I thought I’d give Babo’s new shampoo and conditioner a try because I love the body wash. I love this stuff! It makes my hair so clean and soft. For reference, my hair type is straight and fine, but I have a lot of hair. I’m brunette and haven’t colored it in over a year. I noticed the shampoo doesn’t foam up as much as other shampoos I use, but my hair still comes out clean and I can usually go 5 days between shampooing again (I double shampoo my roots which helps). I also noticed the conditioner is a little more on the milkier/thinner side, which makes sense for the products to have more flow to them because they are in cartons meant to pour. I still use my usual leave-in conditioner spray and some hair oil after I wash and it all works great together. Overall I love the shampoo + conditioner, they smell great, they cost less than my usual products and they’re clean ingredients so it’s a win win. Worth a try!
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Reviewed in the United States on March 15, 2024
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Priscilla
Draper, US
★★★★★ 4
Good shampoo. Leaves hair clean!
Scent: Mango & Hibiscus, Size: 12 Fl Oz (Pack of 1)
I love the smell of that shampoo! Not too strong. My hair feels clean and healthy. The packaging is cool however not so practical.
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Reviewed in the United States on August 20, 2025
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Pants
Los Angeles, US
★★★★★ 5
Great product
Scent: Mango & Hibiscus, Size: 12 Fl Oz (Pack of 1)
Excellent product. It's very gentle on your hair, even if used in hard water. It's over priced though, and there isn't very much in the container.
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Reviewed in the United States on June 7, 2026
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Bauyrzhan
Waukegan, US
★★★★★ 1
Horrible packaging, not recommended
Scent: Mango & Hibiscus, Size: 12 Fl Oz (Pack of 1)
I didn’t see any positive or negative results, but main concern is packaging. Car board box is absolutely horrible idea for this kind of product, you will have zero control or idea how much you are going to poor to your hand, you can’t use refill bottles with pumps, because you have to shake it every time before use. Wouldn’t recommend to nobody, maybe it’s very healthy and good for hair but putting it in this box is terrible idea. Only good thing is smells okay, but they all smell good. And you can’t even return like this thing so waste of money. It spills everywhere, and if you drop or loose the cap you can’t even shake properly anymore.
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Reviewed in the United States on September 11, 2025

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