Entrepreneur Updated 2025-07-16
Endofunction Updated 2025-07-16
A function where the domain is the same as the codomain.
Simplex Updated 2025-07-16
The name does not imply regular by default. For regular ones, you should say "regular polytope".
Non-regular description: take convex hull take D + 1 vertices that are not on a single D-plan.
Hypercube Updated 2025-07-16
square, cube. 4D case known as tesseract.
Convex hull of all (Cartesian product power) D-tuples, e.g. in 3D:
( 1,  1,  1)
( 1,  1, -1)
( 1, -1,  1)
( 1, -1, -1)
(-1,  1,  1)
(-1,  1, -1)
(-1, -1,  1)
(-1, -1, -1)
From this we see that there are vertices.
Two vertices are linked iff they differ by a single number. So each vertex has D neighbors.
Cross polytope Updated 2025-07-16
Examples: square, octahedron.
Take and flip one of 0's to . Therefore has vertices.
Each edge E is linked to every other edge, except it's opposite -E.
Ciro Santilli is very fond of this result: the beauty of mathematics.
How can so much complexity come out from so few rules?
How can the proof be so long (thousands of papers)?? Surprise!!
And to top if all off, the awesomely named monster group could have a relationship with string theory via the monstrous moonshine?
The classification contains:
Video 1.
Simple Groups - Abstract Algebra by Socratica (2018)
Source. Good quick overview.
Group extension problem Updated 2025-07-16
Besides the understandable Wikipedia definition, Video "Simple Groups - Abstract Algebra by Socratica (2018)" gives an understandable one:
Given a finite group and a simple group , find all groups such that is a normal subgroup of and .
In particular, this is hard because you can't just take the direct product of groups to retrieve the original group: Section "Relationship between the quotient group and direct products".
Searching by th epart name "GF03FC" leads to other sellers besides Elica however, which could reduce shipping costs: www.cookerhoodsupplies.co.uk/filters-and-lamps/188-metal-grease-filter-gf03fc.html
Brand on extractor glass: Elica: elica.com
Dimensions: 45.9cm x 17.6cm on the exterior. Too long to fit into any container that we have.
Brand on filter itself: "ARMA Filtre a.s." based on markings: www.armafiltre.com.tr/uygulamalar/7/3/en/Home-Appliances.html Cannot find any model on website however... looks like Elica's B2B supplier only.
Marker inside after removing filter: 12NC: 208298104403 Model: CIAK GR/A/56.
2018: noticed that it was unbearably greasy, tried to clean, but even boiling water didn't help.
July 2019 message:
Aluminium extractor filter for 208298104403
Hi there,
I'm trying to buy a spare aluminium extractor filter for an Elica extractor, but I can't find the right size on the website.
My 12NC is : 208298104403
My filter looks a lot like this: shop.elica.com/en/accessori/filtro-grassi-in-alluminio-cod-GRI0077330A.html but the dimensions are different: I measured 45.9cm x 17.6cm on my old one.
Do you have that for sale?
Brand according to documents: SMEG.
Most similar models I an find: www.smeguk.com/products/UKC8173N1F and www.smeguk.com/products/UKC81721F, the keyword are "built-in" and "integrated", other very similar ones: www.smeguk.com/refrigerators/built-in
Looks like this: www.youtube.com/watch?v=4c_LBVnU4ec and that's how to unclog the drain.
2020-11-28: defrost. Some small Styrofoam was broken lose from top, noticed small burn or rust marks on top grid nearby.
SMEG, cannot determine exact model.
2020-11: started sparking by itself once every 5 minutes. Knob controls dirty in hole, but can't find out how to access. Seems slightly glued insulated around edges.

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