O(3) Related Words

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Here are some words that are associated with o(3): lie group, quadratic form, spin group, kernel, general linear group, algebraic group, semidirect product, cyclic group, isometry, determinant, rotation, euclidean space, linear map, reflection, up to, normal subgroup, orthonormal basis, n-sphere, direct product of groups, symmetry group, mathematics, group, complex number, topological space, transpose, field, isomorphic, so(2), so(3), so(4). You can get the definitions of these o(3) related words by clicking on them. Also check out describing words for o(3) and find more words related to o(3) using ReverseDictionary.org

Words Related to o(3)

Below is a list of words related to o(3). You can click words for definitions. Sorry if there's a few unusual suggestions! The algorithm isn't perfect, but it does a pretty good job for common-ish words. Here's the list of words that are related to o(3):

lie group quadratic form spin group kernel general linear group algebraic group semidirect product cyclic group isometry determinant rotation euclidean space linear map reflection up to normal subgroup orthonormal basis n-sphere direct product of groups symmetry group mathematics group complex number topological space transpose field isomorphic so(2) so(3) so(4) translation orientation homothecy endomorphisms eigenvalues fundamental group hyperplane infinite cyclic function composition
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sphere orthogonal matrix circle matrix multiplication real number invertible matrix topological compact group connected component identity element dimension symmetric bilinear form vector space dot product algebraic groups euclidean vector space uniform scaling orthogonal vector euclidean norm euclidean isometry bott periodicity stabilizer subgroup group homomorphism conjugate subgroup orthogonal matrices p-group characteristic subgroup integers rotational symmetry complex conjugate euler's rotation theorem quaternions mirror image rotations and reflections in two dimensions cofibration cartan–dieudonné theorem reflection through the origin stabilizer circle group n-connected unitary group brane absolute value compact space lagrangian grassmannian connected space identity component identity matrix symmetric matrices octonions short exact sequence algebraic set complete intersection irreducible component embedded prime singular point of an algebraic variety maximal torus elementary abelian group symmetric group multiplicative inverse characteristic algebraic topology universal cover real line square double cover homotopy group homotopy groups of spheres direct limit discriminant commutator curl angle congruence similarity polytope homogeneous space fiber bundle transitive action unit vector orthogonal complement clutching construction up to isomorphism free abelian group hamel dimension countably many division algebra tautological line bundle projective line torsor kaluza–klein centerless k-frame real projective line riemann sphere symplectic geometry maslov index whitehead tower eilenberg–maclane space string group nondegenerate quadratic form sylvester's law of inertia diagonal matrix lorentz group relativity theory congruent matrices witt's decomposition theorem hyperbolic plane pin group anisotropic quadratic form chevalley–warning theorem quotient group finite field dihedral group conjugate element multiplicative group frobenius automorphism roots of unity primitive element clifford group galois cohomology clifford algebra group scheme of roots of unity connecting homomorphism lie algebra skew-symmetric matrix compact real form semisimple lie algebra spin representation symmetric space conformal map similar triangles homothetic transformation point group finite coxeter group regular polytope point groups in three dimensions polyhedral group point groups in two dimensions simply connected covering group special orthogonal lie algebra principal homogeneous space stiefel manifold

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Words Related to o(3)

As you've probably noticed, words related to "o(3)" are listed above. According to the algorithm that drives this word similarity engine, the top 5 related words for "o(3)" are: lie group, quadratic form, spin group, kernel, and general linear group. There are 178 other words that are related to or similar to o(3) listed above. Hopefully the generated list of o(3) related words above suit your needs.

P.S. There are some problems that I'm aware of, but can't currently fix (because they are out of the scope of this project). The main one is that individual words can have many different senses (meanings), so when you search for a word like mean, the engine doesn't know which definition you're referring to ("bullies are mean" vs. "what do you mean?", etc.), so consider that your search query for words like o(3) may be a bit ambiguous to the engine in that sense, and the related terms that are returned may reflect this. You might also be wondering: What type of word is o(3)?

Also check out o(3) words on relatedwords.io for another source of associations.

Related Words

Related Words runs on several different algorithms which compete to get their results higher in the list. One such algorithm uses word embedding to convert words into many dimensional vectors which represent their meanings. The vectors of the words in your query are compared to a huge database of of pre-computed vectors to find similar words. Another algorithm crawls through Concept Net to find words which have some meaningful relationship with your query. These algorithms, and several more, are what allows Related Words to give you... related words - rather than just direct synonyms.

As well as finding words related to other words, you can enter phrases and it should give you related words and phrases, so long as the phrase/sentence you entered isn't too long. You will probably get some weird results every now and then - that's just the nature of the engine in its current state.

Special thanks to the contributors of the open-source code that was used to bring you this list of o(3) themed words: @Planeshifter, @HubSpot, Concept Net, WordNet, and @mongodb.

There is still lots of work to be done to get this to give consistently good results, but I think it's at the stage where it could be useful to people, which is why I released it.

Please note that Related Words uses third party scripts (such as Google Analytics and advertisements) which use cookies. To learn more, see the privacy policy.

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