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Usage Examples
Filter by Meaning The coproducts of red, green, and blue are all the colors that can be made by mixing these three primary colors.
The coproducts of the modules M and N are the direct sum of M and N.
The coproducts of the colors black and white are all the shades of gray.
The coproducts of the animals in the forest and the animals in the jungle are all the animals that can be found in either of these two habitats.
The coproducts of the numbers 1, 2, and 3 are all the positive integers less than or equal to 3.
The coproducts of the topological spaces X and Y are the disjoint union of X and Y.
The coproducts of the subspaces U and V of a vector space are the direct sum of U and V.
The coproducts of the sets A and B are the union of A and B.
The coproducts of the natural numbers and the even numbers are all the integers.
The coproducts of the sets A and B are defined as the union of elements belonging to A or B.
The coproducts of the novels "Pride and Prejudice" and "Sense and Sensibility" are all the books written by Jane Austen.
The coproducts of the category of rings are direct sums.
The coproducts of the category of vector spaces are direct sums.
The coproducts in the category of schemes are given by the disjoint union.
The coproducts of the category of fields are algebraic extensions.
The coproducts of the category of commutative rings are tensor products.
The coproducts of the category of modules are direct sums.
In the category of topological spaces, the coproducts are given by the disjoint union of spaces.
In the category of vector spaces over a fixed field, the coproducts are given by the direct sum.
The coproducts in the category of rings are given by the direct sum.
The coproducts of the category of groups are free products.
The coproducts of the category of schemes are fiber products.
In the category of modules over a fixed ring, the coproducts are given by the direct sum.
The coproducts in the category of commutative monoids are given by the free product.
The coproducts of two objects in the category of groups is their free product.
In the category of pointed sets, the coproducts are given by the wedge sum.
Scientists are studying the coproducts of different plant species to develop hybrids with improved yields.
The coproducts of two different types of bacteria can sometimes create a harmful toxin.
The coproducts of genetic recombination during meiosis create genetic diversity.
The coproducts of selective breeding led to the development of new strains of livestock with desirable traits.
The coproducts of evolution over millions of years have led to the diversity of life on Earth.
The coproducts of genetic testing can reveal potential health risks.
The coproducts of a mutation in a specific gene can result in a genetic disorder.
The coproducts of genetic mutations can lead to abnormalities or diseases.
The coproducts of the fusion of two cells can result in a genetically diverse offspring.
In the study of genetics, coproducts can result in a variety of traits.
The coproducts of the genetic modification of plants can increase their resistance to pests and diseases.
The coproducts of hereditary traits determine the physical features of an individual.
Researchers are examining the coproducts of various medications to better understand their potential side effects.
The coproducts of the mother and father determined the eye color of the baby.
The coproducts of genetic engineering can produce new organisms with desired traits.
The coproducts of genetic recombination can lead to the evolution of new species.
The coproducts of Japanese and American cultures can be seen in the popularity of anime in the United States.
The coproducts of Mexican and American cuisine can be found in Tex-Mex food.
The art exhibit showcased coproducts of Indigenous and Western art.
The music album featured coproducts of African and European musical influences.
The film portrays the coproducts of two distinct societies colliding.
The coproducts of Native American and African cultures are present in the music of the Mississippi Delta region.
The coproducts of Jewish and American cultures are seen in Jewish-American literature.
The music scene in the city reflects the coproducts of different cultures.
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