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Krull's theorem - Wikipedia

https://en.wikipedia.org/wiki/Krull's_theorem
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Double centralizer theorem - Wikipedia

https://en.wikipedia.org/wiki/Double_centralizer_theorem
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Up to - Wikipedia

https://en.wikipedia.org/wiki/Up_to
In the picture, "there are 4 partitions up to rotation" means that the set P has 4 equivalence classes with respect to R defined by aRb if b can be obtained from a by rotation; one representative from each class is shown in the bottom left picture part

Ideal norm - Wikipedia

https://en.wikipedia.org/wiki/Ideal_norm
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Conjugate diameters - Wikipedia

https://en.wikipedia.org/wiki/Conjugate_diameters
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Wedderburn–Artin theorem - Wikipedia

https://en.wikipedia.org/wiki/Wedderburn%E2%80%93Artin_theorem
If R is a finite-dimensional semisimple k-algebra, then each Di in the above statement is a finite-dimensional division algebra over k

Invariant basis number - Wikipedia

https://en.wikipedia.org/wiki/Invariant_basis_number
(November 2020) (Learn how and when to remove this message) In the mathematical field of ring theory, a ring R has the invariant basis number (IBN) property if all finitely generated free modules over R have a well-defined rank

Bali myna - Wikipedia

https://en.wikipedia.org/wiki/Bali_myna
[1] In 2018, there were three locations on Bali where the birds existed in the wild: the West Bali National Park; Bali's small island of Nusa Penida and Begawan Foundation's breeding and release site at Melinggih Kelod, Payangan

Grammatical gender

https://en.wikipedia.org/wiki/Grammatical_gender
In linguistics, a grammatical gender system is a specific form of a noun class system, where nouns are assigned to gender categories that are often not related to the real-world qualities of the entities denoted by those nouns

Tragedy of the commons - Wikipedia

https://en.wikipedia.org/wiki/Tragedy_of_the_commons
The work of Elinor Ostrom, who received the Nobel Prize in Economics, is seen by some economists as having refuted Hardin's claims

Outline of category theory - Wikipedia

https://en.wikipedia.org/wiki/Outline_of_category_theory
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List of topology topics - Wikipedia

https://en.wikipedia.org/wiki/List_of_topology_topics
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List of differential geometry topics - Wikipedia

https://en.wikipedia.org/wiki/List_of_differential_geometry_topics
Jump to content Main menu Main menu move to sidebar hide Navigation Main page Contents Current events Random article About Wikipedia Contact us Contribute Help Learn to edit Community portal Recent changes Upload file Special pages

Toll (fee) - Wikipedia

https://en.wikipedia.org/wiki/Toll_(fee)
In Europe, the road toll goes back to the practice of the Germanic tribes, who charged fees to travellers if they wanted to cross over mountain passages

Cohen–Macaulay ring - Wikipedia

https://en.wikipedia.org/wiki/Unmixed_ideal
finitely generated) R-module M ≠ 0 {\displaystyle M\neq 0} is a Cohen–Macaulay module if d e p t h ( M ) = d i m ( M ) {\displaystyle \mathrm {depth} (M)=\mathrm {dim} (M)} (in general we have: d e p t h ( M ) ≤ d i m ( M ) {\displaystyle \mathrm {depth} (M)\leq \mathrm {dim} (M)} , see Auslander–Buchsbaum

Projective module - Wikipedia

https://en.wikipedia.org/wiki/Projective_dimension
) The advantage of this definition of "projective" is that it can be carried out in categories more general than module categories: we don't need a notion of "free object

Outline of linguistics - Wikipedia

https://en.wikipedia.org/wiki/Outline_of_linguistics
Someone who engages in this study is called a linguist

Detection theory - Wikipedia

https://en.wikipedia.org/wiki/Signal_recovery
Bias can be desirable if false alarms and misses lead to different costs

Poincaré recurrence theorem - Wikipedia

https://en.wikipedia.org/wiki/Poincar%C3%A9_recurrence_theorem
The theorem is named after Henri Poincaré, who discussed it in 1890

Theorem - Wikipedia

https://en.wikipedia.org/wiki/Theorem
[1] In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven

Mathematical proof - Wikipedia

https://en.wikipedia.org/wiki/Mathematical_proof
The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms,[2][3][4] along with the accepted rules of inference

Lithium–sulfur battery - Wikipedia

https://en.wikipedia.org/wiki/Lithium%E2%80%93sulfur_battery
These constraints are interdependent: increasing sulfur loading or lowering E/S improves projected energy density, but can also increase polarization and lower reversible capacity if ion/electron transport and interfacial stability are not maintained

Knot theory - Wikipedia

https://en.wikipedia.org/wiki/Theory_of_knots
Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R 3 {\displaystyle \mathbb {R} ^{3}} upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting it or passing it through itself

Affine connection - Wikipedia

https://en.wikipedia.org/wiki/Affine_connection
In differential geometry, an affine connection[a] is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions on the manifold with values in a fixed vector space

Saul Kripke - Wikipedia

https://en.wikipedia.org/wiki/Saul_Kripke
It introduced the concept of names as rigid designators, designating (picking out, denoting, referring to) the same object in every possible world, as contrasted with descriptions

Statistical hypothesis test - Wikipedia

https://en.wikipedia.org/wiki/Hypothesis_test
For example, a medical trial may wish to establish whether a particular drug is effective in treating high blood pressure, with "the change in blood pressure observed in a patient who takes the drug" being the random variable

Statistical hypothesis test - Wikipedia

https://en.wikipedia.org/wiki/Hypothesis_testing
For example, a medical trial may wish to establish whether a particular drug is effective in treating high blood pressure, with "the change in blood pressure observed in a patient who takes the drug" being the random variable

Markov chain - Wikipedia

https://en.wikipedia.org/wiki/Markov_chain
In simpler terms, it is a process for which predictions can be made regarding future outcomes based solely on its present state and—most importantly—such predictions are just as good as the ones that could be made knowing the process's full history

Poisson distribution - Wikipedia

https://en.wikipedia.org/wiki/Poisson_distribution
z-1\right)\right]} Fisher information 1 λ {\displaystyle {\frac {1}{\lambda }}} In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events

Child development - Wikipedia

https://en.wikipedia.org/wiki/Child_development
Parents play a large role in a child's activities, socialization, and development; having multiple parents can add stability to a child's life and therefore encourage healthy development