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<page_title> List of abstract algebra topics </page_title> <path> List_of_abstract_algebra_topics > Ring theory </path> <section_title> Ring theory </section_title> <content> GeneralRing (mathematics) Commutative algebra, Commutative ring Ring theory, Noncommutative ring Algebra over a field Non-associative algebra Rel...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Von Neumann measurement scheme </page_title> <path> Von_Neumann_measurement_scheme > Mathematical formalism > Examples </path> <section_title> Examples </section_title> <content> The prototypical example of a finite-dimensional Hilbert space is a qubit, a quantum system whose Hilbert space is 2-dimensional...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Matrimonial dispensation </page_title> <path> Matrimonial_dispensation > Matrimonial dispensation > Causes for granting dispensations </path> <section_title> Causes for granting dispensations </section_title> <content> Among the sufficient causes for matrimonial dispensations we may distinguish canonical c...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Gouy phase </page_title> <path> Laguerre-Gaussian_modes > Beam optics > Beam focusing </path> <section_title> Beam focusing </section_title> <content> In some applications it is desirable to use a converging lens to focus a laser beam to a very small spot. Mathematically, this implies minimization of the m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Plumbing (mathematics) </page_title> <path> Plumbing_(mathematics) > Milnor manifolds </path> <section_title> Milnor manifolds </section_title> <content> Let D ( τ S 2 k ) {\displaystyle D(\tau _{S^{2k}})} denote the disk bundle associated to the tangent bundle of the 2k-sphere. If we plumb eight copies of...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> NSB Di 8 </page_title> <path> NSB_Di_8 > History </path> <section_title> History </section_title> <content> Eight of the ten locomotives will be used in revenue service; the other two will be used for parts. At that point, seven Di 8s remained in service with CargoNet, with one having been retired and one ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Arsinide </page_title> <path> Arsinide > Reactions </path> <section_title> Reactions </section_title> <content> When heated, metal hydrogen arsinide and metal dihydrogen arsinide compounds lose hydrogen to become a metal arsenide: NaAsH2 → NaAs + H2With lithium dihydrogen arsinide LiAsH2, it can also lose ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Primitive Dirichlet character </page_title> <path> Principal_Dirichlet_character > The group of characters > Powers of 2 </path> <section_title> Powers of 2 </section_title> <content> For example 5 1 ≡ 5 , 5 2 ≡ 5 0 ≡ 1 ( mod 8 ) {\displaystyle 5^{1}\equiv 5,\;5^{2}\equiv 5^{0}\equiv 1{\pmod {8}}} 5 1 ≡ 5 ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Blastocladiomycota </page_title> <path> Blastocladiomycota > Taxonomy </path> <section_title> Taxonomy </section_title> <content> Based on the work of Philippe Silar and "The Mycota: A Comprehensive Treatise on Fungi as Experimental Systems for Basic and Applied Research" and synonyms from "Part 1- Virae, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> RPL character set </page_title> <path> RPL_character_set > Overview </path> <section_title> Overview </section_title> <content> In a parallel development, the HP 38G also used the HP 48 series' character set internally. Starting with the HP 39G in 2000, the superscript 3 (³) at code point 179 (0xB3) was re...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> On Sizes and Distances (Hipparchus) </page_title> <path> On_Sizes_and_Distances_(Hipparchus) > Modern reconstructions > Book 1 reconstruction (Toomer) </path> <section_title> Book 1 reconstruction (Toomer) </section_title> <content> Since the Moon is very distant, it follows that ζ ′ ≈ ζ {\displaystyle \ze...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Social stigma associated with COVID-19 </page_title> <path> Social_stigma_associated_with_COVID-19 > Addressing social stigma </path> <section_title> Addressing social stigma </section_title> <content> In order to address social stigma, it is important to build trust in reliable health services and advice,...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Michelson–Morley experiment </page_title> <path> Michelson-Morley_experiment > Light path analysis and consequences > Observer resting in the aether </path> <section_title> Observer resting in the aether </section_title> <content> If the relation v 2 / c 2 << 1 {\displaystyle {v^{2}}/{c^{2}}<<1} is true (i...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Stochastic differential equations </page_title> <path> Stochastic_differential > Existence and uniqueness of solutions </path> <section_title> Existence and uniqueness of solutions </section_title> <content> As with deterministic ordinary and partial differential equations, it is important to know whether ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Remodernist film </page_title> <path> Remodernist_film > History </path> <section_title> History </section_title> <content> It's like redoing that but it's done in a completely remodernist way because it's using the technology and the sensibility of contemporary rather than nostalgia.In late August, 2009, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Feynman diagrams </page_title> <path> Feynman_rules > Path integral formulation > Spin 1/2; "photons" and "ghosts" > Spin 1: non-Abelian ghosts </path> <section_title> Spin 1: non-Abelian ghosts </section_title> <content> To find the Feynman rules for non-Abelian gauge fields, the procedure that performs t...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Symmetrization methods </page_title> <path> Symmetrization_methods > Symmetrization </path> <section_title> Symmetrization </section_title> <content> If Ω ⊂ R n {\displaystyle \Omega \subset \mathbb {R} ^{n}} is measurable, then it is denoted by Ω ∗ {\displaystyle \Omega ^{*}} the symmetrized version of Ω ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Dirichlet beta function </page_title> <path> Dirichlet_beta_function > Special values </path> <section_title> Special values </section_title> <content> ∑ m = 0 ∞ ( ( ∑ l = 0 k − 1 ( 2 k − 1 2 l ) ( − 1 ) l A 2 k − 2 l − 1 2 l + 2 m + 1 ) − ( − 1 ) k − 1 2 m + 2 k ) A 2 m ( 2 m ) ! ( π 2 ) 2 m + 2 k , {\dis...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Gaelic type </page_title> <path> Gaelic_type > In Unicode </path> <section_title> In Unicode </section_title> <content> Unicode treats the Gaelic script as a font variant of the Latin alphabet. A lowercase insular g (ᵹ) was added in version 4.1 as part of the Phonetic Extensions block because of its use in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Azimuthal equidistant projection </page_title> <path> Azimuthal_equidistant_projection > Mathematical definition </path> <section_title> Mathematical definition </section_title> <content> The distance from the center point to another projected point ρ is the arc length along a great circle between them on ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Tobacco packaging warning messages </page_title> <path> Tobacco_packaging_warning_messages > Maldives </path> <section_title> Maldives </section_title> <content> These poisons damage vital organs of the body, causing cancer, stroke, lung damage, and other such painful illnesses. (Dhivehi: ދުންފަތުގައި 250 ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Rococo Painting </page_title> <path> Rococo_Painting > Origins and characteristics of the style > The sacred and monumental Rococo </path> <section_title> The sacred and monumental Rococo </section_title> <content> Rococo painting was not an exclusively domestic phenomenon, and found fertile ground also in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Square root of 3 </page_title> <path> Square_root_of_3 </path> <section_title> Summary </section_title> <content> Despite having a denominator of only 56, it differs from the correct value by less than 1 10 , 000 {\textstyle {\frac {1}{10,000}}} (approximately 9.2 × 10 − 5 {\textstyle 9.2\times 10^{-5}} , ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Sociocultural evolution </page_title> <path> Sociocultural_evolution > Contemporary perspectives > The role of war in the development of states and societies </path> <section_title> The role of war in the development of states and societies </section_title> <content> War drove human societies to adapt in a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ring of adeles </page_title> <path> Ring_of_adeles > The idele group > Properties of the idele group > Absolute value on the idele group of K and 1-idele </path> <section_title> Absolute value on the idele group of K and 1-idele </section_title> <content> The absolute value function induces the following i...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Degeneracy (quantum mechanics) </page_title> <path> Degenerate_energy_levels > Removing degeneracy > Zeeman effect </path> <section_title> Zeeman effect </section_title> <content> The splitting of the energy levels of an atom when placed in an external magnetic field because of the interaction of the magne...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Complex vector space </page_title> <path> Vector_space > Vector spaces with additional structure > Topological vector spaces > Banach spaces </path> <section_title> Banach spaces </section_title> <content> Banach spaces, introduced by Stefan Banach, are complete normed vector spaces.A first example is the ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> 430 Space Shuttle </page_title> <path> 430_Space_Shuttle > Cartoons > List of cartoons </path> <section_title> List of cartoons </section_title> <content> 《千年女王》 Queen Millennia (83/7/18) 《小地鼠阿曚》(No Translation) 《怪物小皇子》《Kaibutsu-kun (83/6/17) 《藍精靈》 The Smurfs (84/1/7) 《宇宙大帝》 Space Emperor God Sigma 《電子神童》 ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Lie derivative </page_title> <path> Lie_derivative > Definition > The Lie derivative of a tensor field > Definition in terms of flows </path> <section_title> Definition in terms of flows </section_title> <content> The Lie derivative is the speed with which the tensor field changes under the space deformati...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Position sensitive device </page_title> <path> Position_sensitive_device > Principles > Isotropic Sensors > 2-D tetra-lateral Position Sensitive Device (PSD) </path> <section_title> 2-D tetra-lateral Position Sensitive Device (PSD) </section_title> <content> 2310-2316, 2010): x = k x 1 ⋅ I 4 − I 3 I 0 − 1....
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Approximant (continued fraction) </page_title> <path> Convergent_(continued_fraction) > Basic formula </path> <section_title> Basic formula </section_title> <content> A (generalized) continued fraction is an expression of the form a 0 + b 1 a 1 + b 2 a 2 + b 3 a 3 + ⋱ {\displaystyle a_{0}+{\cfrac {b_{1}}{a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Compartmental model </page_title> <path> Multi-compartment_model > Discrete Compartmental Model </path> <section_title> Discrete Compartmental Model </section_title> <content> Discrete models are concerned with discrete variables, often a time interval Δ t {\displaystyle \Delta t} . An example of a discret...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hyperarithmetical theory </page_title> <path> Hyperarithmetical_theory > Hyperarithmetical sets and iterated Turing jumps: the hyperarithmetical hierarchy </path> <section_title> Hyperarithmetical sets and iterated Turing jumps: the hyperarithmetical hierarchy </section_title> <content> The sets 0 ( 1 ) {\...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Radiative zone </page_title> <path> Radiative_zone > Temperature gradient </path> <section_title> Temperature gradient </section_title> <content> In a radiative zone, the temperature gradient—the change in temperature (T) as a function of radius (r)—is given by: d T ( r ) d r = − 3 κ ( r ) ρ ( r ) L ( r ) ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Central Valley Project </page_title> <path> Central_Valley_Project > CVP resources </path> <section_title> CVP resources </section_title> <content> California's Irrigation district's 92 public self-governing subdivisions of the State that purchase water from the CVP Central Valley Ag - CVA MAVEN'S NOTEBOOK...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Clebsch–Gordan coefficients for SU(3) </page_title> <path> Clebsch–Gordan_coefficients_for_SU(3) > Clebsch–Gordan coefficient for SU(3) > A different notation </path> <section_title> A different notation </section_title> <content> Also ϕ μ 1 ν 1 , ϕ μ 2 ν 2 {\displaystyle {\phi ^{\mu _{1}}}_{\nu _{1}},{\ph...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Aristolochia </page_title> <path> Aristolochia > Swallowtail butterflies </path> <section_title> Swallowtail butterflies </section_title> <content> Many species of Aristolochia are eaten by the caterpillar larvae of swallowtail butterflies, thus making themselves unpalatable to most predators. Lepidoptera ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Complex multiplication </page_title> <path> Singular_moduli > Sample consequence </path> <section_title> Sample consequence </section_title> <content> It is no accident that e π 163 = 262537412640768743.99999999999925007 … {\displaystyle e^{\pi {\sqrt {163}}}=262537412640768743.99999999999925007\dots \,} o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Entropy (information theory) </page_title> <path> Entropy_(information_theory) > Further properties </path> <section_title> Further properties </section_title> <content> The Shannon entropy satisfies the following properties, for some of which it is useful to interpret entropy as the expected amount of inf...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Held-Karp algorithm </page_title> <path> Held–Karp_algorithm > Algorithmic complexity > Space </path> <section_title> Space </section_title> <content> Storing all values of g ( S , e ) {\displaystyle g(S,e)} for subsets of size k {\displaystyle k} requires keeping ( n − k − 1 ) ( n − 1 k ) = ( n − 1 ) ( n ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ordinal collapsing functions </page_title> <path> Ordinal_collapsing_functions > An example leading up to the Bachmann–Howard ordinal > Ordinal notations up to the Bachmann–Howard ordinal > The ordinal notation </path> <section_title> The ordinal notation </section_title> <content> It remains to deal with ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Four-wheel drive </page_title> <path> 4_wheel_drive > Systems by design type > Center differential with mechanical lock </path> <section_title> Center differential with mechanical lock </section_title> <content> Alfa Romeo 164 Q4 (central viscous coupling, epicyclic unit and Torsen rear differential) Alfa ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Diagonalizable matrices </page_title> <path> Simultaneously_diagonalizable > Examples > How to diagonalize a matrix </path> <section_title> How to diagonalize a matrix </section_title> <content> Solving the linear system ( I − A ) v = 0 {\displaystyle \left(I-A\right)\mathbf {v} =\mathbf {0} } gives the ei...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Clyde steamer </page_title> <path> Clyde_steamer > Vessels </path> <section_title> Vessels </section_title> <content> PS Comet (1812–1820) PS Hero (1858–1909) PS Iona II (1863–1864) PS Iona (1864–1936), the longest-serving Clyde steamer PS Chancellor (1864–1896) PS Gael (1867–1924) PS Columba (1879–1935) P...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Cavity quantum electrodynamics </page_title> <path> Cavity_quantum_electrodynamics </path> <section_title> Summary </section_title> <content> Cavity quantum electrodynamics (cavity QED) is the study of the interaction between light confined in a reflective cavity and atoms or other particles, under conditi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Kamiumi </page_title> <path> Kamiumi > Story > Death of Kagutsuchi </path> <section_title> Death of Kagutsuchi </section_title> <content> His sadness turned into anger and he decided to kill Kagutsuchi with a ten-grasp sword called Ame-no-ohabari/ (archaic name) Ame-no-wohabari(天之尾羽張, also known as Itsu-no...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Formal Dirichlet series </page_title> <path> Formal_Dirichlet_series > Formal Dirichlet series </path> <section_title> Formal Dirichlet series </section_title> <content> A formal Dirichlet series over a ring R is associated to a function a from the positive integers to R D ( a , s ) = ∑ n = 1 ∞ a ( n ) n −...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Cantiorix Inscription </page_title> <path> Cantiorix_Inscription > Treatment by historians </path> <section_title> Treatment by historians </section_title> <content> His discussion of "Wales Under Roman Rule" does not support any notion of a Roman heritage of administration or society, stating that Welsh s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Tablet Computer </page_title> <path> Tablet_computing > History > Fictional and prototype tablets </path> <section_title> Fictional and prototype tablets </section_title> <content> Tablet computers appeared in a number of works of science fiction in the second half of the 20th century; all helped to promot...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Gaussian process regression </page_title> <path> Gaussian_process_regression > Methods > Ordinary kriging </path> <section_title> Ordinary kriging </section_title> <content> Once defined the covariance model or variogram, C ( h ) {\displaystyle C(\mathbf {h} )} or γ ( h ) {\displaystyle \gamma (\mathbf {h}...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Biodegradation </page_title> <path> Biological_degradation > References > Standards by ASTM International </path> <section_title> Standards by ASTM International </section_title> <content> D5210- Standard Test Method for Determining the Anaerobic Biodegradation of Plastic Materials in the Presence of Munic...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Urban Shield </page_title> <path> Urban_Shield > History > Sheriffs </path> <section_title> Sheriffs </section_title> <content> Andrew H. Broder (25 March 1853 – 7 November 1858), first sheriff Peter E. Edmundson (7 November 1858 – 7 November 1861) Joseph Addison "J.A." Mayhew (7 November 1861- 2 Sep 1863)...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Cantiorix Inscription </page_title> <path> Cantiorix_Inscription > Treatment by historians </path> <section_title> Treatment by historians </section_title> <content> His discussion of "Wales Under Roman Rule" does not support any notion of a Roman heritage of administration or society, stating that Welsh s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Altrenogest </page_title> <path> Altrenogest > Pharmacology > Pharmacodynamics </path> <section_title> Pharmacodynamics </section_title> <content> An in vitro yeast structure–activity relationships bioassay study found that altrenogest was the most potent agonist of both the progesterone receptor (PR) and ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Coffee spoon </page_title> <path> Coffee_spoon > Eating utensils </path> <section_title> Eating utensils </section_title> <content> Horn spoons are still used for eating boiled eggs because they do not tarnish (like silver) from the sulfurous yolk. Horn (or mother of pearl) are used for caviar, since a sil...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Seasonal precipitation </page_title> <path> Köppen_climate_classification > Overview </path> <section_title> Overview </section_title> <content> Am = Tropical monsoon climate; driest month (which nearly always occurs at or soon after the "winter" solstice for that side of the equator) with precipitation le...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Steenrod operation </page_title> <path> Steenrod_square > Axiomatic characterization </path> <section_title> Axiomatic characterization </section_title> <content> Norman Steenrod and David B. A. Epstein (1962) showed that the Steenrod squares S q n: H m → H m + n {\displaystyle Sq^{n}\colon H^{m}\to H^{m+n...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Principalization (algebra) </page_title> <path> Principalization_(algebra) > Group-theoretic formulation of the problem </path> <section_title> Group-theoretic formulation of the problem </section_title> <content> Hence suppose that p ∈ P K {\displaystyle {\mathfrak {p}}\in \mathbb {P} _{K}} is a prime ide...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Thermodynamic efficiency </page_title> <path> Thermodynamic_efficiency > Heat pumps and refrigerators </path> <section_title> Heat pumps and refrigerators </section_title> <content> Heat pumps, refrigerators and air conditioners use work to move heat from a colder to a warmer place, so their function is th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Mathematical Grammar School </page_title> <path> Mathematical_Grammar_School > Competitions > Year 2010 </path> <section_title> Year 2010 </section_title> <content> At the 2010 International Mathematics Olympiad (5–15 July 2010, Kazakhstan), Serbia was represented by a team of 6 competitors, all 6 students...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Kurosh subgroup theorem </page_title> <path> Kurosh_subgroup_theorem > Statement of the theorem </path> <section_title> Statement of the theorem </section_title> <content> Let G = A ∗ B {\displaystyle G=A*B} be the free product of groups A and B and let H ≤ G {\displaystyle H\leq G} be a subgroup of G. The...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Vietnamese cash coins </page_title> <path> Vietnamese_cash > History > Nguyễn dynasty > Scarcity of cash coins during the Bảo Đại period </path> <section_title> Scarcity of cash coins during the Bảo Đại period </section_title> <content> Any excess strings of cash coins held by an individual had to be legal...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Boundedly generated group </page_title> <path> Boundedly_generated_group > Free groups are not boundedly generated > Hyperbolic geometry </path> <section_title> Hyperbolic geometry </section_title> <content> There is also a simple geometric proof that G = SL2(Z) is not boundedly generated. It acts by Möbiu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Amy Karle </page_title> <path> Amy_Karle > Exhibitions </path> <section_title> Exhibitions </section_title> <content> 2022: The Skull Collection Wake Gallery, OnCyber, The Metaverse Source 2022: Gaia: Gene, Algorithm, Intelligent Design and Automata_ A Mirage Self, The Other Realm Museum of Contemporary Ar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Radial basis networks </page_title> <path> Radial_basis_function_network > Examples > Control of a chaotic time series </path> <section_title> Control of a chaotic time series </section_title> <content> We assume the output of the logistic map can be manipulated through a control parameter c {\displaystyl...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Quartic equation </page_title> <path> Quartic_equation > The general case > Solving a depressed quartic when b ≠ 0 </path> <section_title> Solving a depressed quartic when b ≠ 0 </section_title> <content> Then ( u 2 + y ) 2 = u 4 + 2 y u 2 + y 2 = ( 2 y − a ) u 2 − b u + ( y 2 − c ) = ( 2 y − a ) u 2 − b u...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> 64-bit processor </page_title> <path> 64-bit_OS > Current 64-bit architectures </path> <section_title> Current 64-bit architectures </section_title> <content> As of May 2018, 64-bit architectures for which processors are being manufactured include: The 64-bit extension created by Advanced Micro Devices (AM...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> ISO 128 </page_title> <path> ISO_128 > Composition of ISO 128 > Withdrawn parts </path> <section_title> Withdrawn parts </section_title> <content> Replaced by ISO 128-2:2020 ISO 128-20:1996 Technical drawings — General principles of presentation — Part 20: Basic conventions for lines ISO 128-21:1997 Techni...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Charge conjugation symmetry </page_title> <path> C_symmetry > Charge conjugation for Dirac fields > Charge conjugation, chirality, helicity > Weyl spinors </path> <section_title> Weyl spinors </section_title> <content> For the case of massless Dirac spinor fields, chirality is equal to helicity for the pos...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Kan extension </page_title> <path> Kan_extension > Definition </path> <section_title> Definition </section_title> <content> When we pass to the opposite categories, the source and target of τ ( a ) {\displaystyle \tau (a)} are swapped, causing τ {\displaystyle \tau } to act in the opposite direction).This ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Dynamic discrete choice </page_title> <path> Dynamic_discrete_choice > Mathematical representation </path> <section_title> Mathematical representation </section_title> <content> Agent n {\displaystyle n} 's maximization problem can be written mathematically as follows: V ( x n 0 ) = max { d n t } t = 1 T E...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Charles Keck </page_title> <path> Charles_Keck > Career > Monuments and memorials </path> <section_title> Monuments and memorials </section_title> <content> Minot Monument, Goshen, New York, with architect Thomas Harlan Ellett, dedicated May, 1912. Amicitia, Rio de Janeiro, Brazil George Washington, Buenos...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Formal power series </page_title> <path> Non-commuting_formal_power_series > Operations on formal power series > Composition </path> <section_title> Composition </section_title> <content> Given formal power series f ( X ) = ∑ n = 1 ∞ a n X n = a 1 X + a 2 X 2 + ⋯ {\displaystyle f(X)=\sum _{n=1}^{\infty }a_...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ruma Falk </page_title> <path> Ruma_Falk > Selected works </path> <section_title> Selected works </section_title> <content> Falk was the author of books including: Understanding Probability and Statistics: A Book of Problems (A K Peters, 1993) אתגרים לתאים האפורים (Challenges to the Gray Cells, Poalim Libr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Eicosanoid metabolism </page_title> <path> Eicosanoid_metabolism > Biosynthesis > Hydroxyeicosatetraenoate (HETE) and leukotriene (LT) pathways </path> <section_title> Hydroxyeicosatetraenoate (HETE) and leukotriene (LT) pathways </section_title> <content> The enzyme arachidonate 12-lipoxygenase (12-LO or ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Lorentz-Lorenz equation </page_title> <path> Lorentz–Lorenz_equation > Lorentz–Lorenz equation </path> <section_title> Lorentz–Lorenz equation </section_title> <content> The Lorentz–Lorenz equation is similar to the Clausius–Mossotti relation, except that it relates the refractive index (rather than the di...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Border security </page_title> <path> Border_control > Border control organisations by country </path> <section_title> Border control organisations by country </section_title> <content> Border control is generally the responsibility of specialised government organisations which oversee various aspects their...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Association rule mining </page_title> <path> Eclat_algorithm > Useful Concepts > Confidence </path> <section_title> Confidence </section_title> <content> Confidence is the percentage of all transactions satisfying X that also satisfy Y.With respect to T, the confidence value of an association rule, often d...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Fermi statistics </page_title> <path> Fermi_function > Fermi–Dirac distribution </path> <section_title> Fermi–Dirac distribution </section_title> <content> For a system of identical fermions in thermodynamic equilibrium, the average number of fermions in a single-particle state i is given by the Fermi–Dira...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Indefinite sum </page_title> <path> Indefinite_sum > List of indefinite sums > Antidifferences of rational functions </path> <section_title> Antidifferences of rational functions </section_title> <content> ∑ x a = a x + C {\displaystyle \sum _{x}a=ax+C} ∑ x x = x 2 2 − x 2 + C {\displaystyle \sum _{x}x={\f...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Lover's Leap </page_title> <path> Lover's_Leap > List of locations > In the United States </path> <section_title> In the United States </section_title> <content> Bluff Park, Hoover, Alabama Lovers Leap, DeSoto Caverns, Childersburg, Alabama Lovers' Leap, Tombigbee River Mile 96, Jackson, Alabama Noccalula ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Jacuí Delta </page_title> <path> Jacuí_Delta </path> <section_title> Summary </section_title> <content> The Jacuí Delta (Portuguese: Delta do Jacuí) is a hydrographic complex of islands (archipelago), canals, swamps and ponds in Rio Grande do Sul, Brazil, formed by the meeting of the Jacuí, Caí, Sinos and ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Autoregressive process </page_title> <path> Autoregressive_process > Definition </path> <section_title> Definition </section_title> <content> The notation A R ( p ) {\displaystyle AR(p)} indicates an autoregressive model of order p. The AR(p) model is defined as X t = ∑ i = 1 p φ i X t − i + ε t {\displays...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Okamoto–Uchiyama cryptosystem </page_title> <path> Okamoto–Uchiyama_cryptosystem > Background </path> <section_title> Background </section_title> <content> Let p {\displaystyle p} be an odd prime. Define Γ = { x ∈ ( Z / p 2 Z ) ∗ | x ≡ 1 mod p } {\displaystyle \Gamma =\{x\in (\mathbb {Z} /p^{2}\mathbb {Z} ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Critical strip </page_title> <path> Riemann_Zeta_Function > Representations > Globally convergent series </path> <section_title> Globally convergent series </section_title> <content> A globally convergent series for the zeta function, valid for all complex numbers s except s = 1 + 2πi/ln 2n for some intege...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Apollo command and service module </page_title> <path> Apollo_Command/Service_Module > Command module (CM) > Specifications </path> <section_title> Specifications </section_title> <content> Crew: 3 Crew cabin volume: 210 cu ft (5.9 m3) living space, pressurized 366 cu ft (10.4 m3) Length: 11.4 ft (3.5 m) D...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Conservative Revolution </page_title> <path> Conservative_Revolution > Currents </path> <section_title> Currents </section_title> <content> In his PhD thesis supervised by Karl Jaspers, Armin Mohler distinguished five currents inside the nebula of the Conservative Revolution: the Jungkonservativen ("young ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Taxonomy of invertebrates (Brusca & Brusca, 2003) </page_title> <path> Taxonomy_of_invertebrates_(Brusca_&_Brusca,_2003) > Eukaryotes (Eukaryota, or Eukarya) </path> <section_title> Eukaryotes (Eukaryota, or Eukarya) </section_title> <content> Kingdom Fungi – Biological kingdom, separate from plants and an...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Japanese addressing system </page_title> <path> Japanese_addressing_system > Special cases > Kyoto </path> <section_title> Kyoto </section_title> <content> The street address may alternatively be given as 烏丸通七条下ル (with street (通, dōri) inserted), indicating clearly that the address is on Karasuma street. H...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Timeline of North American automobiles </page_title> <path> Timeline_of_North_American_automobiles > 2007 </path> <section_title> 2007 </section_title> <content> BMW X6 E71 (2007-2014) Cadillac CTS (2007-2014) Chevrolet Malibu (2007-2012) Chrysler Aspen (2007–2009) Chrysler Town & Country (2007-2016) Dodge...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Self-dual Palatini action </page_title> <path> Self-dual_Palatini_action > Derivation of main results for self-dual variables > Identities for the totally anti-symmetric tensor </path> <section_title> Identities for the totally anti-symmetric tensor </section_title> <content> Since η I J {\displaystyle \et...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hubble–Sandage variable </page_title> <path> Luminous_blue_variable > List of LBVs > Other </path> <section_title> Other </section_title> <content> A number of cLBVs in the Milky Way (and in the case of Sanduleak -69° 202, in the LMC) are well known because of their extreme luminosity or unusual characteri...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Bootstrap sampling </page_title> <path> Wild_bootstrapping > Types of bootstrap scheme > Wild bootstrap </path> <section_title> Wild bootstrap </section_title> <content> For most distributions of v i {\displaystyle v_{i}} (but not Mammen's), this method assumes that the 'true' residual distribution is symm...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Petri Net </page_title> <path> Petri_Nets > Mathematical properties of Petri nets > Liveness </path> <section_title> Liveness </section_title> <content> Petri nets can be described as having different degrees of liveness L 1 − L 4 {\displaystyle L_{1}-L_{4}} . A Petri net ( N , M 0 ) {\displaystyle (N,M_{0...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Mazda diesel engines </page_title> <path> Mazda_diesel_engines > Inline-fours > Y6 </path> <section_title> Y6 </section_title> <content> The Mazda Y6 engine (called 1.6 MZ-CD or 1.6 CiTD) is a rebadged PSA DV6 engine, produced in the PSA engine plant in Trémery and the Ford engine plant in Dagenham. This 1...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Von Neumann's trace inequality </page_title> <path> Trace_inequalities > Klein's inequality > Proof </path> <section_title> Proof </section_title> <content> Let C = A − B {\displaystyle C=A-B} so that, for t ∈ ( 0 , 1 ) {\displaystyle t\in (0,1)} , B + t C = ( 1 − t ) B + t A {\displaystyle B+tC=(1-t)B+tA}...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Intermediate mass black hole </page_title> <path> Intermediate-mass_black_hole > Potential discoveries </path> <section_title> Potential discoveries </section_title> <content> Further theoretical studies of the gas cloud and nearby IMBH candidates have been inconclusive but have reopened the possibility.In...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Renewal theory </page_title> <path> Renewal_theory > Renewal processes > Formal definition </path> <section_title> Formal definition </section_title> <content> Let ( S i ) i ≥ 1 {\displaystyle (S_{i})_{i\geq 1}} be a sequence of positive independent identically distributed random variables with finite expe...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Tribimaximal mixing </page_title> <path> Tribimaximal_mixing </path> <section_title> Summary </section_title> <content> However the precision of modern experiments mean that such a simple form is excluded by experiment at a level of over 5σ, mainly due to the fact the tribimaximal scheme has a zero in the ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> 1-Vinylimidazole </page_title> <path> 1-Vinylimidazole > Applications </path> <section_title> Applications </section_title> <content> Copolymers of quaternary N-vinylimidazolium salts and polar monomers (in particular N-vinylpyrrolidone) are cationic polyelectrolytes and are suitable, inter alia, as floccu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus