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The coproduct in the category of sets is simply the disjoint union with the maps i j being the inclusion maps.Unlike direct products, coproducts in other categories are not all obviously based on the notion for sets, because unions don't behave well with respect to preserving operations (e.g. the union of two groups need not be a group), and so coproducts in different categories can be ...
The plastic used in plastic shopping bags also started as a by-product of oil refining. [1] By-products are sometimes called co-products to indicate that although they are secondary, they are desired products. For example, hides and leather may be called co-products of beef production. There is no strict distinction between by-products and co ...
Much of chemistry research is focused on the synthesis and characterization of beneficial products, as well as the detection and removal of undesirable products. Synthetic chemists can be subdivided into research chemists who design new chemicals and pioneer new methods for synthesizing chemicals, as well as process chemists who scale up chemical production and make it safer, more ...
Key principles include atom economy, which aims to incorporate all reactant atoms into the final product, and the reduction of waste and inefficiencies in chemical processes. Innovations in green chemistry, contribute to more sustainable and efficient chemical synthesis, reducing the environmental and health impacts of traditional methods. [7]
At last count 96/97 of the 97 elements (hydrogen through einsteinium, except astatine and francium) isolated in pure form and in macroscopic quantities have images. There are few images of very low encyclopedic quality for which it should be relatively easy to obtain higher quality: Ca. One element is still missing an image: Rn.
In a preadditive category, every finitary product is necessarily a coproduct, and hence a biproduct, and conversely every finitary coproduct is necessarily a product (this is a consequence of the definition, not a part of it). The empty product, is a final object and the empty product in the case of an empty diagram, an initial object. Both ...
Image credits: mleclerc182 #9. Lime green skittles. sour apple is for a*****s. #10. There was a pancake batter in a whipped cream can I used to buy. It was great, you didn’t need to make a ton ...
In one important reaction type, a main group organometallic compound of the type R-M (where R = organic group, M = main group centre metal atom) reacts with an organic halide of the type R'-X with formation of a new carbon-carbon bond in the product R-R'. The most common type of coupling reaction is the cross coupling reaction.