text
stringlengths
464
3.06k
source
stringclasses
2 values
<page_title> Jacobsthal number </page_title> <path> Jacobsthal_number </path> <section_title> Summary </section_title> <content> In mathematics, the Jacobsthal numbers are an integer sequence named after the German mathematician Ernst Jacobsthal. Like the related Fibonacci numbers, they are a specific type of Lucas seq...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Averaged Lagrangian </page_title> <path> Averaged_Lagrangian > Resulting equations for pure wave motion </path> <section_title> Resulting equations for pure wave motion </section_title> <content> In case a Lagrangian formulation of a continuum mechanics system is available, the averaged Lagrangian methodol...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Addition chain </page_title> <path> Addition_chain > Chain length </path> <section_title> Chain length </section_title> <content> Let l ( n ) {\displaystyle l(n)} denote the smallest s {\displaystyle s} so that there exists an addition chain of length s {\displaystyle s} which computes n {\displaystyle n} ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Stable matrix </page_title> <path> Hurwitz_matrix > Hurwitz matrix and the Hurwitz stability criterion </path> <section_title> Hurwitz matrix and the Hurwitz stability criterion </section_title> <content> It was established by Adolf Hurwitz in 1895 that a real polynomial with a 0 > 0 {\displaystyle a_{0}>0...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Gauss's theorem </page_title> <path> Gauss's_theorem > Example </path> <section_title> Example </section_title> <content> Suppose we wish to evaluate S {\displaystyle \scriptstyle S} F ⋅ n d S , {\displaystyle \mathbf {F} \cdot \mathbf {n} \,\mathrm {d} S,} where S is the unit sphere defined by S = { ( x ,...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hexlet (unit) </page_title> <path> Units_of_information > Obsolete and unusual units </path> <section_title> Obsolete and unusual units </section_title> <content> Several other units of information storage have been named: 1 bit: unibit, sniff 2 bits: dibit, crumb, quartic digit, quad, quarter, taste, tays...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Steiner's theorem (geometry) </page_title> <path> Steiner's_theorem_(geometry) > Steiner generation of a dual conic > Examples </path> <section_title> Examples </section_title> <content> The images of the points A , U , W {\displaystyle A,U,W} are given: π ( A ) = B , π ( U ) = W , π ( W ) = V {\displaysty...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Carry-skip adder </page_title> <path> Carry_bypass_adder > Block-carry-skip adders > Fixed size block-carry-skip adders </path> <section_title> Fixed size block-carry-skip adders </section_title> <content> Fixed size block-carry-skip adders split the n {\displaystyle n} bits of the input bits into blocks o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> History of Lorentz transformations </page_title> <path> History_of_Lorentz_transformations > Electrodynamics and special relativity > Voigt (1887) </path> <section_title> Voigt (1887) </section_title> <content> Woldemar Voigt (1887) developed a transformation in connection with the Doppler effect and an in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> List of numerical analysis topics </page_title> <path> List_of_numerical_analysis_topics > Optimization > Optimal control and infinite-dimensional optimization </path> <section_title> Optimal control and infinite-dimensional optimization </section_title> <content> Optimal control Pontryagin's minimum princ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Language planning </page_title> <path> Language_planning > Types > Status planning > Language status </path> <section_title> Language status </section_title> <content> According to Kloss, the highest level of vitality is demarcated by 90% or more speakers, followed by 70%, 40%, 20%, 3%, and less than 3%. A...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Response modeling methodology </page_title> <path> Response_modeling_methodology > Examples of RMM models </path> <section_title> Examples of RMM models </section_title> <content> Ignoring RMM errors (ignore the terms cz, dz, and e in the percentile model), we obtain the following RMM models, presented in ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Natural parameters </page_title> <path> Log-partition_function > Entropy > Relative entropy </path> <section_title> Relative entropy </section_title> <content> The relative entropy (Kullback–Leibler divergence, KL divergence) of two distributions in an exponential family has a simple expression as the Breg...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Index of electrical engineering articles </page_title> <path> Index_of_electrical_engineering_articles > I </path> <section_title> I </section_title> <content> Idaho National Laboratory – IEC61850 – IEEE Aerospace and Electronic Systems Society – IEEE Antennas and Propagation Society – IEEE Broadcast Techn...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Tooth wear </page_title> <path> Tooth_wear > Treatment </path> <section_title> Treatment </section_title> <content> A decision is made after full occlusal assessment including assessment of contacts in intercuspal position (ICP) and retruded contact position (RCP) as well as analysing casts articulated in ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Convective acceleration </page_title> <path> Wyld_diagrams > Compressible flow </path> <section_title> Compressible flow </section_title> <content> the fluid is assumed to be isotropic, as with gases and simple liquids, and consequently V {\textstyle \mathbf {V} } is an isotropic tensor; furthermore, since...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Quantum Fourier transform </page_title> <path> Quantum_Fourier_transform > Circuit implementation </path> <section_title> Circuit implementation </section_title> <content> The quantum gates used in the circuit of n {\displaystyle n} qubits are the Hadamard gate and the phase gate R k {\displaystyle R_{k}} ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Limit of detection </page_title> <path> Limit_of_detection > Significance in analytical chemistry </path> <section_title> Significance in analytical chemistry </section_title> <content> In analytical chemistry, the detection limit, lower limit of detection, also termed LOD for limit of detection or analyti...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Kleene's algorithm </page_title> <path> Kleene's_algorithm > Algorithm description </path> <section_title> Algorithm description </section_title> <content> If F = { q1,...,qf } is the set of accept states, the regular expression Rn01 | ... | Rn0f represents the language accepted by M. The initial regular e...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Shapley–Folkman lemma </page_title> <path> Shapley–Folkman_lemma > Statements of the three main results > Shapley–Folkman–Starr theorem </path> <section_title> Shapley–Folkman–Starr theorem </section_title> <content> Define the inner radius r ( S ) {\displaystyle r(S)} of a bounded subset S ⊂ R D {\display...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Buck converter </page_title> <path> Buck_converter > Theory > Idealised case > From discontinuous to continuous mode (and vice versa) </path> <section_title> From discontinuous to continuous mode (and vice versa) </section_title> <content> The converter operates in discontinuous mode when low current is dr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Skyactiv </page_title> <path> Skyactiv > Skyactiv-G > 2.0 L </path> <section_title> 2.0 L </section_title> <content> version has a compression ratio of 13.0:1 producing 155 bhp (157 PS; 116 kW) at 6000 rpm and 200 N⋅m (148 lbf⋅ft) of torque at 4600 rpm. In some markets, the 162 bhp (164 PS; 121 kW) and 210...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> W. T. Tutte </page_title> <path> W._T._Tutte > Positions, honours and awards </path> <section_title> Positions, honours and awards </section_title> <content> Tutte's work in World War II and subsequently in combinatorics brought him various positions, honours and awards: 1958, Fellow of the Royal Society o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> C. L. E. Moore instructor </page_title> <path> C._L._E._Moore_instructor </path> <section_title> Summary </section_title> <content> The job title of C. L. E. Moore instructor is given by the Math Department at Massachusetts Institute of Technology to recent math Ph.D.s hired for their promise in pure mathe...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Vangelis </page_title> <path> Vangelis > Instruments and equipment </path> <section_title> Instruments and equipment </section_title> <content> By the mid-1970s, when based at his Nemo Studio in London, he was also using Elka Tornado IV Reed and Farfisa Syntorchestra organs, a Selmer Clavioline, a Hohner C...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Daxophone </page_title> <path> Daxophone > List of known daxophonists and discography </path> <section_title> List of known daxophonists and discography </section_title> <content> Kriton Beyer, aka kriton b. Nuc Box Hums (2017, Creative Sources Recordings – CS 408 CD) Redox Reaction – Live at Petersburg Ar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> 12-Hydroxyheptadecatrienoic acid </page_title> <path> 12-Hydroxyheptadecatrienoic_acid > Activities and clinical significance > 12-HHT is a BLT2 receptor agonist </path> <section_title> 12-HHT is a BLT2 receptor agonist </section_title> <content> Leukotriene B4 (i.e. LTB4) is an arachidonic acid metabolite...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> O3b (satellite) </page_title> <path> O3b_(satellite) > Use of medium Earth orbit </path> <section_title> Use of medium Earth orbit </section_title> <content> O3b MEO is currently the only high-throughput satellite (HTS) system for internet services to use the medium Earth orbit; most other existing and pro...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Nambu−Goldstone boson </page_title> <path> Goldstone_theorem > Goldstone's argument </path> <section_title> Goldstone's argument </section_title> <content> Fabri–Picasso Theorem. Q does not properly exist in the Hilbert space, unless Q|0〉 = 0.The argument requires both the vacuum and the charge Q to be tra...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Twin Spark </page_title> <path> Twin_Spark > 16-valve Twin Spark engines </path> <section_title> 16-valve Twin Spark engines </section_title> <content> 1,370 cc (1.4 L) 76 kW (103 PS; 102 bhp) @ 6300 rpm, 124 N⋅m (91 lb⋅ft) @ 4600 rpm, Bore x Stroke - 82 x 64.87 mm 1,598 cc (1.6 L) 77–88 kW (105–120 PS; 10...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Debian version history </page_title> <path> Debian_version_history > Release history > Debian 6.0 (Squeeze) </path> <section_title> Debian 6.0 (Squeeze) </section_title> <content> Debian 6.0 (Squeeze), released 6 February 2011, contained more than 29,000 packages. The default Linux kernel included was debl...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Golden ratio base </page_title> <path> Golden_ratio_base > Representing rational numbers as golden ratio base numbers </path> <section_title> Representing rational numbers as golden ratio base numbers </section_title> <content> Every non-negative rational number can be represented as a recurring base-φ exp...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Andrzej Grzegorczyk </page_title> <path> Andrzej_Grzegorczyk > Education </path> <section_title> Education </section_title> <content> Already in 1945 at the Philosophical Faculty of the Jagiellonian University in Kraków, supervised by a renowned philosopher of physics Zygmunt Michał Zawirski who in 1938–19...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Non-line-of-sight propagation </page_title> <path> Non-line-of-sight_propagation > Effect of electrical properties of obstructions > Good insulators (poor conductors) > Plane waves and intrinsic impedance </path> <section_title> Plane waves and intrinsic impedance </section_title> <content> Even if an obst...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Direct method in calculus of variations </page_title> <path> Direct_method_in_calculus_of_variations > Sequential lower semi-continuity of integrals </path> <section_title> Sequential lower semi-continuity of integrals </section_title> <content> If the function A ↦ F ( x , y , A ) {\displaystyle A\mapsto F...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> HAZMAT Class 5 Oxidizing agents and organic peroxides </page_title> <path> HAZMAT_Class_5_Oxidizing_agents_and_organic_peroxides > Divisions > Division 5.2: Organic Peroxides </path> <section_title> Division 5.2: Organic Peroxides </section_title> <content> An organic peroxide is any organic compound conta...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Quadruple integral </page_title> <path> Double_integral > Examples > Double integral over a rectangle </path> <section_title> Double integral over a rectangle </section_title> <content> Let us assume that we wish to integrate a multivariable function f over a region A: A = { ( x , y ) ∈ R 2: 11 ≤ x ≤ 14 ; ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Bicarbonate buffer system </page_title> <path> Bicarbonate_buffer_system > In systemic acid–base balance > Henderson–Hasselbalch equation </path> <section_title> Henderson–Hasselbalch equation </section_title> <content> A modified version of the Henderson–Hasselbalch equation can be used to relate the pH o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Light in painting </page_title> <path> Light_in_painting > History > Modern Age Art > Barroco > Classicism and full Baroque </path> <section_title> Classicism and full Baroque </section_title> <content> In addition to the Carracci brothers, Guido Reni, Domenichino, Francesco Albani, Guercino and Giovanni L...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Descartes' theorem </page_title> <path> Descartes_theorem > Generalizations > Arbitrary four-circle configurations </path> <section_title> Arbitrary four-circle configurations </section_title> <content> Descartes' theorem can be expressed as a matrix equation and then generalized to other configurations of...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Large numbers </page_title> <path> Astronomically_large > Standardized system of writing </path> <section_title> Standardized system of writing </section_title> <content> Tetration with base 10 gives the sequence 10 ↑↑ n = 10 → n → 2 = ( 10 ↑ ) n 1 {\displaystyle 10\uparrow \uparrow n=10\to n\to 2=(10\upar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Weakly Interacting Massive Particles </page_title> <path> Weakly_Interacting_Massive_Particles > Direct detection > The future of direct detection </path> <section_title> The future of direct detection </section_title> <content> The 2020s should see the emergence of several multi-tonne mass direct detectio...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Aberlemno Sculptured Stones </page_title> <path> Aberlemno_Sculptured_Stones > The battle scene on Aberlemno 2 </path> <section_title> The battle scene on Aberlemno 2 </section_title> <content> 82. A noble company of Danes suffered a similar slaughter near the village of Aberlemno, a village four miles dis...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Wikipedian in residence </page_title> <path> Wikipedian_in_residence > Developing interest </path> <section_title> Developing interest </section_title> <content> McDevitt-Parks had been editing Wikipedia since 2004 and was hired for this position by David Ferriero.In July 2011 Wikimedia UK engaged Andy Mab...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> NOMe-seq </page_title> <path> NOMe-seq > Methods </path> <section_title> Methods </section_title> <content> Components For isolating nuclei, components include Dulbecco's phosphate-buffered saline (DPBS), trypsin or dispase (depending on cell type), trypan blue, hemocytometer, lysis buffer, and wash buffer...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Acoustoelastic effect </page_title> <path> Acoustoelastic_effect > Acoustoelasticity for uniaxial tension of isotropic hyperelastic materials > Expansion of sound velocities </path> <section_title> Expansion of sound velocities </section_title> <content> If the strong ellipticity condition ( B i j k l N j ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Raymond Clare Archibald </page_title> <path> Raymond_Clare_Archibald > Biographies </path> <section_title> Biographies </section_title> <content> Biographisch-Literarisches Handwörterbuch zur Geschichte der Exacten Wissenschaften Enthaltend Nachweisungen über Lebensverhältnisse und Leitstunger von Mathemat...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Boundary-layer effect </page_title> <path> Boundary-layer_effect > Convective transfer constants from boundary layer analysis </path> <section_title> Convective transfer constants from boundary layer analysis </section_title> <content> Paul Richard Heinrich Blasius derived an exact solution to the above la...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ramsey game </page_title> <path> Clique_game > Winning conditions </path> <section_title> Winning conditions </section_title> <content> Ramsey's theorem implies that, whenever we color a graph with 2 colors, there is at least one monochromatic clique. Moreover, for every integer k, there exists an integer ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Single nucleotide variants </page_title> <path> Single_nucleotide_variant > Types </path> <section_title> Types </section_title> <content> Non-coding SNPs can also alter the level of expression of a gene, as an eQTL (expression quantitative trait locus). SNPs in coding regions: synonymous substitutions by ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ancient Greek accent </page_title> <path> Ancient_Greek_accent > Types of accent </path> <section_title> Types of accent </section_title> <content> The ancient Greek grammarians indicated the word-accent with three diacritic signs: the acute (ά), the circumflex (ᾶ), and the grave (ὰ). The acute was the mos...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hidden Linear Function problem </page_title> <path> Hidden_Linear_Function_problem > 2D HLF problem statement </path> <section_title> 2D HLF problem statement </section_title> <content> Given A ∈ F 2 n × n {\displaystyle A\in \mathbb {F} _{2}^{n\times n}} (an upper- triangular binary matrix of size n × n {...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Finite place </page_title> <path> Finite_place > Basic notions > Places > Places at infinity geometrically </path> <section_title> Places at infinity geometrically </section_title> <content> For example, if p = {\displaystyle p=} , so on the affine chart x 1 ≠ 0 {\displaystyle x_{1}\neq 0} this correspond...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hamilton Walk </page_title> <path> Hamilton_Walk > History </path> <section_title> History </section_title> <content> The walk was launched in 1990 by Prof Tony O'Farrell of the Department of Mathematics at St Patrick's College, Maynooth. It starts at DIAS Dunsink Observatory, where Hamilton lived and was ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Verma module </page_title> <path> Verma_module > Definition of Verma modules > By extension of scalars </path> <section_title> By extension of scalars </section_title> <content> The "extension of scalars" procedure is a method for changing a left module V {\displaystyle V} over one algebra A 1 {\displaysty...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Measure preserving dynamical system </page_title> <path> Kolmogorov-Sinai_entropy > Homomorphisms </path> <section_title> Homomorphisms </section_title> <content> The concept of a homomorphism and an isomorphism may be defined. Consider two dynamical systems ( X , A , μ , T ) {\displaystyle (X,{\mathcal {A...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Discrete Universal Denoiser </page_title> <path> Discrete_Universal_Denoiser > The DUDE scheme > Step 2: Calculating the Bayes response to each context </path> <section_title> Step 2: Calculating the Bayes response to each context </section_title> <content> Denote the column of single-symbol fidelity crite...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Nordström's theory of gravitation </page_title> <path> Nordström's_theory_of_gravitation > The static spherically symmetric asymptotically flat vacuum solution > Static observers </path> <section_title> Static observers </section_title> <content> It makes sense to ask how much force is required to hold a t...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> List of logarithmic identities </page_title> <path> List_of_logarithmic_identities > Calculus identities > Integrals of logarithmic functions </path> <section_title> Integrals of logarithmic functions </section_title> <content> ∫ ln ⁡ x d x = x ln ⁡ x − x + C = x ( ln ⁡ x − 1 ) + C {\displaystyle \int \ln ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Interactive Text Transmission System </page_title> <path> Interactive_Text_Transmission_System </path> <section_title> Summary </section_title> <content> and 1 500 V d.c. IEC 60901 Single-capped fluorescent lamps – Performance specifications IEC 60903 Live working – Electrical insulating gloves IEC 60904 P...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Next-fit bin packing </page_title> <path> Next-fit_bin_packing > Approximation ratio > Lower bound </path> <section_title> Lower bound </section_title> <content> For each N ∈ N {\displaystyle N\in \mathbb {N} } , there exists a list L {\displaystyle L} such that O P T ( L ) = N {\displaystyle \mathrm {OPT}...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Ahriman </page_title> <path> Ahriman > In present-day Zoroastrianism </path> <section_title> In present-day Zoroastrianism </section_title> <content> In 1862, Martin Haug proposed a new reconstruction of what he believed was Zoroaster's original monotheistic teaching, as expressed in the Gathas – a teachin...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> LEA (cipher) </page_title> <path> LEA_(cipher) > Specification > Decryption </path> <section_title> Decryption </section_title> <content> The decryption operation is as follows: X N r ‖ X N r ‖ X N r ‖ X N r ← C ‖ C ‖ C ‖ C {\displaystyle X_{Nr}\|X_{Nr}\|X_{Nr}\|X_{Nr}\leftarrow C\|C\|C\|C} for i =...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Massive gravity </page_title> <path> Massive_gravity > Ghost-free massive gravity </path> <section_title> Ghost-free massive gravity </section_title> <content> In 2010 a breakthrough was achieved when de Rham, Gabadadze, and Tolley constructed, order by order, a theory of massive gravity with coefficients ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Nonhomogeneous electromagnetic wave equation </page_title> <path> Nonhomogeneous_electromagnetic_wave_equation > SI units > A and φ potential fields </path> <section_title> A and φ potential fields </section_title> <content> Introducing the electric potential φ (a scalar potential) and the magnetic potenti...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Hamming matrix </page_title> <path> Hamming_codes > [7,4] Hamming code > Encoding </path> <section_title> Encoding </section_title> <content> ExampleFrom the above matrix we have 2k = 24 = 16 codewords. Let a → {\displaystyle {\vec {a}}} be a row vector of binary data bits, a → = , a i ∈ { 0 , 1 } {\displ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Natural Step </page_title> <path> Natural_Step > Framework > FSSD System Level > Human influence </path> <section_title> Human influence </section_title> <content> Based on the whole-system understanding and research focusing on the causes rather than the effects of unsustainability within the socio-ecolog...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Jyotirmimamsa </page_title> <path> Jyotirmimamsa > Synopsis </path> <section_title> Synopsis </section_title> <content> The following is an outline of the various topics discussed in Jyotirmimamsa. The necessity of revising the astronomical constants at regular intervals for correcting the parameters conne...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Carbon nitride </page_title> <path> Carbon_nitride > Other compounds </path> <section_title> Other compounds </section_title> <content> cyanonitrene - CN2 or (one of the nitrogens is univalent) azodicarbonitrile - C2N4 or N≡C−N=N−C≡N, cis and trans isomers cyanogen azide - CN4 or N≡C−N=N+=N− 1-diazidocarb...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Thiazolium salt </page_title> <path> Thiazolium_salt > Reactions </path> <section_title> Reactions </section_title> <content> With a pKa of 2.5 for the conjugate acid, thiazoles are far less basic than imidazole (pKa =7).Deprotonation at C2: the negative charge on this position is stabilized as an ylide; H...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Matrix Langevin distribution </page_title> <path> Matrix_Langevin_distribution > Pseudo-random number generation > 3-D sphere </path> <section_title> 3-D sphere </section_title> <content> To generate a Von Mises–Fisher distributed pseudo-random spherical 3-D unit vector X s {\textstyle \mathbf {X} _{s}} on...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Yuktibhāṣā </page_title> <path> Yuktibhāṣā > Contents > Mathematics </path> <section_title> Mathematics </section_title> <content> In modern mathematical notation, r θ = r sin ⁡ θ cos ⁡ θ − r 3 sin 3 ⁡ θ cos 3 ⁡ θ + r 5 sin 5 ⁡ θ cos 5 ⁡ θ − r 7 sin 7 ⁡ θ cos 7 ⁡ θ + ⋯ {\displaystyle r\theta ={r{\frac {\si...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Tunnel ionization </page_title> <path> Tunnel_ionization > Analytical formula for the rate of MPI </path> <section_title> Analytical formula for the rate of MPI </section_title> <content> Thus, the total rate of MPI from a state with quantum numbers l {\displaystyle l} and m {\displaystyle m} in a laser fi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> International Multilateral Partnership Against Cyber Threats </page_title> <path> International_Multilateral_Partnership_Against_Cyber_Threats > International Advisory Board </path> <section_title> International Advisory Board </section_title> <content> As of 2013 International Advisory Board (IAB) members...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Naturalness (physics) </page_title> <path> Naturalness_(physics) > Naturalness and the gauge hierarchy problem </path> <section_title> Naturalness and the gauge hierarchy problem </section_title> <content> For instance, in the Standard Model with Higgs potential given by V = − μ 2 ϕ † ϕ + λ ( ϕ † ϕ ) 2 {\d...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Knizhnik–Zamolodchikov equations </page_title> <path> KZ_equation > Mathematical formulation > Vertex algebra derivation </path> <section_title> Vertex algebra derivation </section_title> <content> If (Xs) is an orthonormal basis of g {\displaystyle {\mathfrak {g}}} for the Killing form, the Knizhnik–Zamol...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Somos' quadratic recurrence constant </page_title> <path> Somos'_quadratic_recurrence_constant </path> <section_title> Summary </section_title> <content> In mathematics, Somos' quadratic recurrence constant, named after Michael Somos, is the number σ = 1 2 3 ⋯ = 1 1 / 2 2 1 / 4 3 1 / 8 ⋯ . {\displaystyle \...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Navagraha Kritis </page_title> <path> Navagraha_Kritis </path> <section_title> Summary </section_title> <content> The Navagraha Kritis are a set of nine songs composed by Muttuswāmi Dīkshitar, a great composer of Carnātic Music (Classical music of South India). Each song is a prayer to one of the nine Nava...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Trinification </page_title> <path> Trinification > Details </path> <section_title> Details </section_title> <content> Also, each generation has a pair of triplets ( 3 , 1 ) − 1 3 {\displaystyle (3,1)_{-{\frac {1}{3}}}} and ( 3 ¯ , 1 ) 1 3 {\displaystyle ({\bar {3}},1)_{\frac {1}{3}}} , and doublets ( 1 , 2...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Kelvin's minimum energy theorem </page_title> <path> Kelvin's_minimum_energy_theorem > Mathematical Proof </path> <section_title> Mathematical Proof </section_title> <content> Let u {\displaystyle \mathbf {u} } be the velocity field of an incompressible irrotational fluid and u 1 {\displaystyle \mathbf {u_...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> CVA-01 </page_title> <path> CVA-01 > Origin </path> <section_title> Origin </section_title> <content> In the 1960s, the Royal Navy was still one of the premier carrier fleets in the world, second only to the US Navy, which was in the process of building the 80,000-ton Kitty Hawk-class aircraft carriers. Th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Symmetrical electrical network </page_title> <path> Antimetric_electrical_network > Two-port parameters </path> <section_title> Two-port parameters </section_title> <content> The conditions for symmetry and antimetry can be stated in terms of two-port parameters. For a two-port network described by normali...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> 9-j symbol </page_title> <path> 9-j_symbol > Orthogonality relation </path> <section_title> Orthogonality relation </section_title> <content> The 9-j symbols satisfy this orthogonality relation: ∑ j 7 j 8 ( 2 j 7 + 1 ) ( 2 j 8 + 1 ) { j 1 j 2 j 3 j 4 j 5 j 6 j 7 j 8 j 9 } { j 1 j 2 j 3 ′ j 4 j 5 j 6 ′ j 7 ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Rainbow Codes </page_title> <path> Rainbow_code > Projects > Green </path> <section_title> Green </section_title> <content> Green Apple – related to Window for measuring drift at sea Green Archer – mortar-locating radar Green Bacon – experimental anti-aircraft radar for Bofors units Green Bamboo – "hybrid"...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Negative theology </page_title> <path> Via_negativa > Judaism > Jacques Derrida </path> <section_title> Jacques Derrida </section_title> <content> The work of Jewish philosopher Jacques Derrida, and in particular his critical method called deconstruction, has frequently been compared to negative theology, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Diebold 10xx </page_title> <path> Diebold_10xx > Listing of 10xx Series Models </path> <section_title> Listing of 10xx Series Models </section_title> <content> Members of the 10xx Series included: MDS Series - Used a De La Rue cash dispensing mechanism 1060 - Mono-function, indoor counter-top unit with sin...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> On Weights and Measures </page_title> <path> On_Weights_and_Measures > Synopsis </path> <section_title> Synopsis </section_title> <content> Epiphanius, explaining the sense of certain obscure passages in the original Aramaic New Testament, writes: "The talent is called Maneh (mina) among the Hebrews," the ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Douglas R. White </page_title> <path> Douglas_R._White > Work </path> <section_title> Work </section_title> <content> Major contributions of Douglas R. White: White was known for Cross-cultural studies, studies of the division of labor, sexual division of labor, polygyny, marriage and kinship, his collabor...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Salafi Jihadism </page_title> <path> Salafi_Jihadism </path> <section_title> Summary </section_title> <content> Salafi jihadism, also known as Revolutionary Salafism or jihadist-Salafism, is a religious-political Sunni Islamist ideology, seeking to establish a global caliphate, characterized by the advocac...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Pregroup </page_title> <path> Pregroup_Grammar > Definition of a pregroup </path> <section_title> Definition of a pregroup </section_title> <content> A pregroup is a partially ordered algebra ( A , 1 , ⋅ , − l , − r , ≤ ) {\displaystyle (A,1,\cdot ,-^{l},-^{r},\leq )} such that ( A , 1 , ⋅ ) {\displaystyle...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Braille pattern dots-3456 </page_title> <path> Braille_pattern_dots-3456 > Related 8-dot kantenji patterns > Kantenji using braille patterns 5678, 15678, 45678, or 145678 > Compounds of 非 </path> <section_title> Compounds of 非 </section_title> <content> - な/亻 + 火 = 俳 - ゆ/彳 + 火 = 徘 - て/扌 + 火 = 排 - ゐ/幺 + 火 =...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Negation as failure </page_title> <path> Negation_as_failure > Completion semantics </path> <section_title> Completion semantics </section_title> <content> The semantics of NAF remained an open issue until 1978, when Keith Clark showed that it is correct with respect to the completion of the logic program,...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> HP EliteBook </page_title> <path> HP_EliteBook > Models > Twelfth generation </path> <section_title> Twelfth generation </section_title> <content> This generation of EliteBook notebooks feature Intel Alder Lake processors. EliteBook 800 series G9 was announced in January 2022. The EliteBook 800 G9 series w...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Intellectual property policy </page_title> <path> Intellectual_property_policy > IP policies for universities and research institutions </path> <section_title> IP policies for universities and research institutions </section_title> <content> Universities and research institutions seeking to partner with in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Flamant solution </page_title> <path> Flamant_solution > Derivation of Flamant solution </path> <section_title> Derivation of Flamant solution </section_title> <content> But the field σ θ θ = 0 {\displaystyle \sigma _{\theta \theta }=0} everywhere also satisfies the force equilibrium equations. Hence this ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Winfred P. Lehmann </page_title> <path> Winfred_P._Lehmann > Selected works </path> <section_title> Selected works </section_title> <content> (With Alfred Senn) A Word Index to Wolfram's "Parzival,", University of Wisconsin-Madison, 1938 (With Roe-Merrill S. Heffner) A Word-Index to the Poems of Walther vo...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Johannes Kreidler </page_title> <path> Johannes_Kreidler > Compositions (selection) > Concert music </path> <section_title> Concert music </section_title> <content> Piece for Harp and Video (2018) Lippenstift for choir, audio and video accompaniment (2016) The Wires for cello, audio and video accompaniment...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Outline of bridges </page_title> <path> Outline_of_bridges > Types of bridges </path> <section_title> Types of bridges </section_title> <content> Beam Bridge Truss Bridge Truss arch bridge Cantilever Bridge Stressed ribbon bridge Arch Bridge Tied Arch Bridge Through arch bridge Skew arch Suspension Bridge ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> CloudBolt </page_title> <path> CloudBolt > History </path> <section_title> History </section_title> <content> The platform was developed by Alexandre Augusto "Auggy" da Rocha and Bernard Sanders. da Rocha began work on a prototype of the platform in 2010, calling it SmartCloud 1.0. Together they created a ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
<page_title> Cantonese phonology </page_title> <path> Cantonese_phonology > Sounds </path> <section_title> Sounds </section_title> <content> A Cantonese syllable usually includes an initial (onset) and a final (rime/rhyme). Cantonese syllabary has about 630 syllables. Some like /ɛː˨/ and /ei˨/ (欸), /poŋ˨/ (埲), /kʷeŋ˥/ ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus