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0R

  • 0R
  • Topics referred to by the same term

    0R (1000 r) or 0-R may refer to: Zero-rated supply, items that are not charged a tax on their input supplies Zero-risk bias, irrationally valuing complete

    0R

    0R

  • Subaru Legacy (fourth generation)
  • Fourth generation of Subaru Legacy

    2.0R, 2.0GT, 2.0GT spec.B, 3.0R, and 3.0R spec.B trim levels. The base model 2.0i has SOHC version of EJ20 engine producing 140 PS, and the 2.0R comes

    Subaru Legacy (fourth generation)

    Subaru Legacy (fourth generation)

    Subaru_Legacy_(fourth_generation)

  • Shor's algorithm
  • Quantum algorithm for integer factorization

    the form |ψj⟩=r−1/2∑k=0r−1ωr−kj|ak⟩, and these eigenvectors are such that 1r∑j=0r−1|ψj⟩=1r∑j=0r−1∑k=0r−1ωrjk|ak⟩=|1⟩+1r∑k=1r−1(∑j=0r−1ωrjk)|ak⟩=|1⟩, where

    Shor's algorithm

    Shor's_algorithm

  • Zero-ohm link
  • Electrical component used to link traces

    A zero-ohm link or zero-ohm resistor is a wire link packaged in the same physical package format as a resistor. It is used to connect traces on a printed

    Zero-ohm link

    Zero-ohm link

    Zero-ohm_link

  • Or
  • Topics referred to by the same term

    recognizance, the basis for releasing someone awaiting trial without bail '0r' (zero r), meaning "no roods", in old measurements of land area And (disambiguation)

    Or

    Or

  • Vandermonde's identity
  • Mathematical theorem on convolved binomial coefficients

    convolution) is the following identity for binomial coefficients: (m+nr)=∑k=0r(mk)(nr−k) for any nonnegative integers r, m, n. The identity is named after

    Vandermonde's identity

    Vandermonde's_identity

  • Halbach array
  • Special arrangement of permanent magnets

    and assert that the solution is φ={αrcos⁡θr<ri,βrcos⁡θ−M0rln⁡rcos⁡θri<r<ro,0r>ro, where now α, β are constants to be determined. If we can choose the constants

    Halbach array

    Halbach array

    Halbach_array

  • List of Subaru transmissions
  • Legacy 3.0R Limited sedan (but not the regular R sedan), the 2009 Outback 2.5XT Limited (but not the regular XT), and the 2009 Outback 3.0R Limited (but

    List of Subaru transmissions

    List_of_Subaru_transmissions

  • Australian soccer league system
  • Association Football league system of Australia

    division(s) 2 111 National Premier Leagues Capital Football Men's – 11 clubs — 0p, 0r National Premier Leagues Northern NSW Men's – 12 clubs — 0p, 1.5r National

    Australian soccer league system

    Australian soccer league system

    Australian_soccer_league_system

  • Reed–Muller code
  • Error-correcting codes used in wireless communication

    RM(r, m). When asked to encode a message consisting of k bits, where k=∑i=0r(mi) holds, the RM(r, m) code produces a codeword consisting of 2m bits. Reed–Muller

    Reed–Muller code

    Reed–Muller_code

  • Active valve control system
  • Automobile variable valve timing technology

    EZ30D (2005+ in the USA market) found in the Legacy Outback, Legacy 2.0R, 3.0R and the B9 Tribeca. A dual AVCS system phases both the intake and exhaust

    Active valve control system

    Active valve control system

    Active_valve_control_system

  • 2026 Challenger de Villa María – Singles
  • 2026 tennis event results

    Manuel La Serna 6 7 8 Nicolás Kicker 4 5 1 Juan Manuel La Serna 6 6 2 Genaro Alberto Olivieri 2 3 PR Federico Coria 6 3 0r 2 Genaro Alberto Olivieri 3 6 0

    2026 Challenger de Villa María – Singles

    2026_Challenger_de_Villa_María_–_Singles

  • Alon–Boppana bound
  • Second-largest eigenvalue lower bound

    of exactly k from v. First, note that xTx=∑k=0r−1|Vk|wk2. Second, note that xTAx=∑u∈Vxu∑u′∈N(u)xu′≥∑k=0r−1|Vk|wk[wk−1+(d−1)wk+1]−(d−1)|Vr−1|wr−1wr, where

    Alon–Boppana bound

    Alon–Boppana_bound

  • Volume of an n-ball
  • Size of a mathematical ball

    Vn(R)=2πVn−2(R)∫0R(1−(rR)2)(n−2)/2rdr. The integral can be evaluated by making the substitution u = 1 − (⁠r/R⁠)2 to get Vn(R)=2πVn−2(R)⋅[−R2n(1−(rR)2)n/2]r=0r=R=2πR2nVn−2(R)

    Volume of an n-ball

    Volume of an n-ball

    Volume_of_an_n-ball

  • Area of a circle
  • Concept in geometry

    computed in polar coordinates as follows: Area(r)=∬D1 d(x,y)=∬Dt dt dθ=∫0r∫02πt dθ dt=∫0r[tθ]02πdt=∫0r2πtdt which is the same result as obtained above. An equivalent

    Area of a circle

    Area_of_a_circle

  • Adjacency matrix
  • Square matrix used to represent a graph or network

    have r and s vertices can be written in the form A=(0r,rBB𝖳0s,s), where B is an r × s matrix, and 0r,r and 0s,s represent the r × r and s × s zero matrices

    Adjacency matrix

    Adjacency_matrix

  • 2026 Rolex Paris Masters – Singles
  • 2026 tennis event results

    M Bellucci 4 1 A Rinderknech 3 77 2 A Rinderknech 6 6 16 F Cerúndolo 6 62 0r 3 B Shelton 6 4 6 12 T Paul 7 6 12 T Paul 4 6 3 PR H Rune 5 4 12 T Paul 6

    2026 Rolex Paris Masters – Singles

    2026_Rolex_Paris_Masters_–_Singles

  • Hockey-stick identity
  • Recurrence relations of binomial coefficients in Pascal's triangle

    Further, by the binomial theorem, we also find that Xr+k=(1+x)r+k=∑i=0r+k(r+ki)xi. Note that this means the coefficient of xr in Xr+k is given by

    Hockey-stick identity

    Hockey-stick identity

    Hockey-stick_identity

  • Jatco 5R05 transmission
  • Motor vehicle

    generation) 2005–2009. 3.0R EZ30. Subaru Legacy (fifth generation) 2010–2014. 3.6R EZ36. Subaru Outback (third generation) 2005–2009. 3.0R EZ30. Subaru Outback

    Jatco 5R05 transmission

    Jatco_5R05_transmission

  • College football national championships in NCAA Division I FBS
  • Annual selection of best U.S. team

    Ole Miss 10–0–1 Johnny Vaught BR, CFRA, DeS, DuS, FWAA, NCF, WS Missouri 11–0r Dan Devine PS Washington 10–1 Jim Owens HAF 1961 Alabama 11–0 Paul "Bear"

    College football national championships in NCAA Division I FBS

    College football national championships in NCAA Division I FBS

    College_football_national_championships_in_NCAA_Division_I_FBS

  • Spectral sequence
  • Tool in homological algebra

    that: for r ≥ 2, Ep,0r+1=ker⁡(d:Ep,0r→Ep−r,r−1r) as the denominator is zero. Hence, there is a sequence of monomorphisms: Ep,0r→Ep,0r−1→⋯→Ep,03→Ep,02. They

    Spectral sequence

    Spectral_sequence

  • List of Subaru engines
  • (219 lb⋅ft)@ 4,200 RPM Application: 2003–2009 Subaru Legacy 3.0R 2005–2009 Subaru Outback 3.0R 2006–2007 Tribeca The EZ36D retains the plastic intake manifold

    List of Subaru engines

    List_of_Subaru_engines

  • 2026 Hong Kong Tennis Open – Singles
  • 2026 tennis event results

    Stoiana 6 6 1 S Cîrstea 2 3 LL E Pridankina 7 0 Q A Shubladze 6 6 P Badosa 5 0r LL E Pridankina 78 1 3 Q A Shubladze 5 6 6 Q A Shubladze 66 6 6 7 L Samsonova

    2026 Hong Kong Tennis Open – Singles

    2026_Hong_Kong_Tennis_Open_–_Singles

  • Bernoulli's inequality
  • Inequality about exponentiations of ''1+x''

    (1+x)r−1=yr−1=(∑k=0r−1yk)⋅(y−1)=(∑k=0r−1(1+x)k)⋅x 3

    Bernoulli's inequality

    Bernoulli's inequality

    Bernoulli's_inequality

  • 2026 Taranto Tennis Cup – Singles
  • 2026 tennis event results

    6 7 M Martineau 6 6 Michele Ribecai 4 5 7 M Mrva 77 1 6 Q Loann Massard 5 0r T Faurel 63 6 2 T Faurel 7 4 7 M Mrva 5 7 4 Q A Andreev 3 M Martineau 7 5

    2026 Taranto Tennis Cup – Singles

    2026_Taranto_Tennis_Cup_–_Singles

  • 2026 Seoul Open Challenger – Singles
  • 2026 tennis event results

    77 2 6 Z Zhang 0 4 R Sakamoto 6 6 R Sakamoto 6 6 K Samrej 3 4 R Sakamoto 0r WC Kim Jang-jun 62 2 B Harris 3 B Harris 77 6 B Harris 6 6 Q Christian Langmo

    2026 Seoul Open Challenger – Singles

    2026_Seoul_Open_Challenger_–_Singles

  • 2026 Wimbledon Championships – Men's singles
  • Tennis championship

    S Mochizuki 3 60 3 WC F Gill 3 3 5 23 R Jódar 3 6 1 6 6 D Shapovalov 3 67 0r P Carreño Busta 6 3 6 3 4 P Carreño Busta 6 79 0 23 R Jódar 6 65 4 4 Q S Mochizuki

    2026 Wimbledon Championships – Men's singles

    2026 Wimbledon Championships – Men's singles

    2026_Wimbledon_Championships_–_Men's_singles

  • 2025 Six Kings Slam
  • 2025 tennis tournament in Saudi Arabia

    Stefanos Tsitsipas 2 3 Jannik Sinner 6 6 Jannik Sinner 6 6 Jannik Sinner 6 6 Novak Djokovic 4 2 3rd place match Taylor Fritz 77 0 Novak Djokovic 64 0r

    2025 Six Kings Slam

    2025_Six_Kings_Slam

  • Regular tetrahedron
  • Solid with four equal triangular faces

    43≈1.155 70°31′44″ 2κ 60° π3 𝝉 1 54°44′8″ π2−κ 60° π3 𝟁 13≈0.577 54°44′8″ π2−κ 60° π3 0R/l 32≈1.225 1R/l 12≈0.707 2R/l 16≈0.408 κ 35°15′52″ arc sec 32

    Regular tetrahedron

    Regular tetrahedron

    Regular_tetrahedron

  • Isoperimetric inequality
  • Geometric inequality applicable to any closed curve

    integer r. This theorem implies that any set S⊆V with |S|≥∑i=0r(di) satisfies |S∪Γ(S)|≥∑i=0r+1(di). As a special case, consider set sizes k=|S| of the form

    Isoperimetric inequality

    Isoperimetric inequality

    Isoperimetric_inequality

  • Free module
  • In mathematics, a module that has a basis

    elements, r1e1+r2e2+⋯+rnen=0M implies that r1=r2=⋯=rn=0R (where 0M is the zero element of M and 0R is the zero element of R). A free module is a module

    Free module

    Free_module

  • Digamma function
  • Mathematical function

    equation z(1+z)aln⁡(1+z)=∑n=0∞znψn(a),|z|<1, It may be generalized to ψ(v)=1r∑l=0r−1ln⁡(v+a+l)+1r∑n=1∞(−1)nNn,r(a)(n−1)!(v)n,ℜ(v)>−a,r=1,2,3,… where the polynomials

    Digamma function

    Digamma function

    Digamma_function

  • Flag of Germany
  • Jet black 3020 Traffic red 1023 Traffic yellow HKS 0, 0, 0 5.0PB 3.0/12 6.0R 4.5/14 CMYK 0.0.0.100 0.100.100.8 0.19.100.0 Pantone (approximation) N/A 168

    Flag of Germany

    Flag of Germany

    Flag_of_Germany

  • 2026 Curitiba Open – Singles
  • 2026 tennis event results

    1 1 F Jones 6 6 Q B Bonardi 1 5 WC M Souza 4 3 WC M Souza 6 7 1 F Jones 5 0r   NV Leme da Silva 7 1 6 NV Leme da Silva 7 0 D Papamichail 5 6 3 NV Leme

    2026 Curitiba Open – Singles

    2026_Curitiba_Open_–_Singles

  • Taxicab geometry
  • Type of metric geometry

    arc length in the first quadrant is given by s=∫0r1+|−xr2−x2|dx=x+r2−x211|0r=r−(−r)=2r Accounting for the remaining quadrants gives 4×2r=8r again. Therefore

    Taxicab geometry

    Taxicab geometry

    Taxicab_geometry

  • Construction of the real numbers
  • Saying that any two models are isomorphic means that for any two models (ℝ,0ℝ,1ℝ,+ℝ,×ℝ,≤ℝ) and (S,0S,1S,+S,×S,≤S), there is a bijection f:ℝ→S that preserves

    Construction of the real numbers

    Construction_of_the_real_numbers

  • 2025 French Open – Men's singles
  • Tennis championship

    710 8 Lorenzo Musetti 6 4 7 6 15 Frances Tiafoe 2 6 5 2 8 Lorenzo Musetti 6 63 0 0r 2 Carlos Alcaraz 4 77 6 2 12 Tommy Paul 0 1 4 2 Carlos Alcaraz 6 6 6

    2025 French Open – Men's singles

    2025_French_Open_–_Men's_singles

  • Roulette
  • Casino game of chance

    for a bet, black (or red), the rule is determined as ξ(ω)={−r,ω is red−r,ω=0r,ω is black, and the profitability M[ξ]=137(18⋅r−18⋅r−r)=−r37. For similar

    Roulette

    Roulette

    Roulette

  • 2025 China Open – Men's singles
  • 2025 tennis event results

    Final                     1 Jannik Sinner 6 4 6 3 Alex de Minaur 3 6 2 1 Jannik Sinner 6 6 Learner Tien 2 2   Learner Tien 5 7 4 8 Daniil Medvedev 7 5 0r

    2025 China Open – Men's singles

    2025_China_Open_–_Men's_singles

  • 2023 Western & Southern Open – Men's singles
  • Tennis championship

    round Third round Quarterfinals 6 H Rune 4 0r WC M McDonald 7 6 WC M McDonald 6 2 Y Hanfmann 5 1 WC M McDonald 4 0r R Gasquet 4 3 A Mannarino 6 3 A Mannarino

    2023 Western & Southern Open – Men's singles

    2023_Western_&_Southern_Open_–_Men's_singles

  • 2026 Swiss Indoors – Singles
  • 2026 tennis event results

    Shapovalov 4 3 D Shapovalov 6 6 6 T Fritz 6 2 A Michelsen 5 6 6 2 A Fils 2 0r B van de Zandschulp 7 3 3 A Michelsen 6 3 65 Q G Mpetshi Perricard 65 5 2

    2026 Swiss Indoors – Singles

    2026_Swiss_Indoors_–_Singles

  • 2026 Adelaide International – Women's singles
  • 2026 tennis event results

    Kenin 63 4 M Joint 0 WC A Tomljanović 77 0 WC A Tomljanović 2r 5 C Tauson 65 0r 3 M Andreeva 6 6 9 D Shnaider 7 6 9 D Shnaider 3 2 L Fernandez 5 3 9 D Shnaider

    2026 Adelaide International – Women's singles

    2026_Adelaide_International_–_Women's_singles

  • Second moment of area
  • Mathematical construct in engineering

    Jz directly using polar coordinates. Ix,circle=∬Ry2dA=∬R(rsin⁡θ)2dA=∫02π∫0r(rsin⁡θ)2(rdrdθ)=∫02π∫0rr3sin2θdrdθ=∫02πr4sin2θ4dθ=π4r4Jz

    Second moment of area

    Second_moment_of_area

  • Dedekind–Hasse norm
  • g : R → Z≥0 be a function from R to the non-negative integers. Denote by 0R the additive identity of R. The function g is called a Dedekind–Hasse norm

    Dedekind–Hasse norm

    Dedekind–Hasse_norm

  • Standard deviation
  • Measure of variation in statistics

    line L is to be orthogonal to the vector from M to P. Therefore: L⋅(P−M)=0(r,r,r)⋅(x1−ℓ,x2−ℓ,x3−ℓ)=0r(x1−ℓ+x2−ℓ+x3−ℓ)=0r(∑ixi−3ℓ)=0∑ixi−3ℓ=013∑ixi=ℓx¯=ℓ

    Standard deviation

    Standard deviation

    Standard_deviation

  • 2026 US Open – Men's singles
  • Tennis championship

    7 2 21 L Darderi 6 6 6 WC D Sweeny 77 6 3 WC D Sweeny 4 3 3 C Moutet 64 4 0r WC D Sweeny 3 6 6 6 A Fery 3 3 5 13 L Musetti 6 1 2 2 13 L Musetti 6 6 7

    2026 US Open – Men's singles

    2026_US_Open_–_Men's_singles

  • Tennis at the 2022 Asian Games – Women's singles
  • 2022 tennis event results

    Kaji (JPN) 6 6   12  Joanna Garland (TPE) 1 3      Meshkatolzahra Safi (IRI) 0 0r   12  Joanna Garland (TPE) 6 4   6  Haruka Kaji (JPN) 3 6 6 3  Ankita Raina (IND)

    Tennis at the 2022 Asian Games – Women's singles

    Tennis_at_the_2022_Asian_Games_–_Women's_singles

  • 2026 Challenger Ciudad de Guayaquil – Singles
  • 2026 tennis event results

    5 João Lucas Reis da Silva 5 1 Joaquín Aguilar Cardozo 7 6 Joaquín Aguilar Cardozo 5 0r 2 Hugo Dellien 7 1 SE Valerio Aboian 67 2 2 Hugo Dellien 79 6

    2026 Challenger Ciudad de Guayaquil – Singles

    2026_Challenger_Ciudad_de_Guayaquil_–_Singles

  • 2025 Australian Open – Men's singles
  • Tennis championship

    64 3 7 Novak Djokovic 4 6 6 6 3 Carlos Alcaraz 6 4 3 4 7 Novak Djokovic 65 0r 2 Alexander Zverev 77 0 12 Tommy Paul 61 60 6 1 2 Alexander Zverev 77 77 2

    2025 Australian Open – Men's singles

    2025_Australian_Open_–_Men's_singles

  • 2025 Korea Open (badminton)
  • Badminton tournament in Korea

    Semi-finals Final                     1 An Se-young 21 8 3 Pornpawee Chochuwong 19 0r 1 An Se-young 18 13 2 Akane Yamaguchi 21 21 4 Putri Kusuma Wardani 9 14 2

    2025 Korea Open (badminton)

    2025_Korea_Open_(badminton)

  • Mazda3
  • Compact car range manufactured by Mazda

    the (BH) 323 in 2004. There are three trim levels, "1.6S", "1.6V and " 2.0R". The "1.6V" is powered by Mazda's 1.6L inline-four engine mated to a 4-speed

    Mazda3

    Mazda3

    Mazda3

  • 2026 Hylo Open
  • 2026 badminton tournament in Saarbrücken

    Dubovenko 11 21 19 1 A Antonsen 21 21 D J Holm 11 13 SWM R Gemke 21 21 Su L-y 9 17 SWM R Gemke 5 0r D J Holm 21 0 K Nishimoto 19 21 12 D J Holm 21 11 21

    2026 Hylo Open

    2026_Hylo_Open

  • 2023 Eastbourne International – Women's singles
  • 2023 tennis event results

    Ostapenko 6 6 S Zhang 5 77 1 WC H Dart 3 4 WC H Dart 7 65 6 J Ostapenko 68 0r C Giorgi 6 6 C Giorgi 710 0 LL H Watson 3 4 C Giorgi 6 6 Q J Paolini 3 2 4

    2023 Eastbourne International – Women's singles

    2023_Eastbourne_International_–_Women's_singles

  • Ideal (ring theory)
  • Submodule of a mathematical ring

    generated (see below) by the unity ⁠1R⁠. Also, the set {0R} consisting of only the additive identity 0R forms a two-sided ideal called the zero ideal and is

    Ideal (ring theory)

    Ideal_(ring_theory)

  • Gravitational binding energy
  • Minimum energy to remove a system from a gravitationally bound state

    potential energy: dU=−Gmshellminteriorr Integrating over all shells yields: U=−G∫0R(4πr2ρ)(43πr3ρ)rdr=−G163π2ρ2∫0Rr4dr=−G1615π2ρ2R5 Since ρ is simply equal to

    Gravitational binding energy

    Gravitational binding energy

    Gravitational_binding_energy

  • 2025 ABN AMRO Open – Singles
  • 2025 tennis event results

    Alcaraz 6 6 Q A Vavassori 63 6 0 Q A Vavassori 2 1 F Auger-Aliassime 77 4 0r 1 C Alcaraz 6 6 P Martínez 6 6 P Martínez 2 1 R Bautista Agut 3 2 P Martínez

    2025 ABN AMRO Open – Singles

    2025_ABN_AMRO_Open_–_Singles

  • 2026 ATP Hong Kong Tennis Open – Singles
  • 2026 tennis event results

    Djere 2 0 M Giron 6 77 M Giron 6 6 M Giron 6 1 Q A Tabilo 5 4 Q M Mmoh 3 0r Q M Mmoh 7 6 Q M Mmoh 77 77 4 K Khachanov 62 64 M Giron 6 4 2 5 L Sonego 6

    2026 ATP Hong Kong Tennis Open – Singles

    2026_ATP_Hong_Kong_Tennis_Open_–_Singles

  • 2025 Singapore Tennis Open – Singles
  • 2025 tennis event results

    Semifinals Final                     1 Anna Kalinskaya 62 0r Ann Li 77 1   Ann Li 1 4 2 Elise Mertens 6 6 4 Wang Xinyu 3 4 2 Elise Mertens 6 6

    2025 Singapore Tennis Open – Singles

    2025_Singapore_Tennis_Open_–_Singles

  • 2026 Guadalajara Open – Singles
  • 2026 tennis event results

    competition                     2 Iryna Shymanovich 7 6 Ana Sofía Sánchez 5 2 2 Iryna Shymanovich 77 3 Lea Ma 61 0r   Lea Ma 6 6 7 Katarina Zavatska 2 2

    2026 Guadalajara Open – Singles

    2026_Guadalajara_Open_–_Singles

  • 2026 Cali Open – Singles
  • 2026 tennis event results

    Casanova 6 3 2 7 G Bueno 714 4 2 7 G Bueno 2 6 6 1 G Heide 3 5 4 H Dellien 3 0r M Pucinelli de Almeida 6 7 JM La Serna 6 2 JM La Serna 6 6 Q Daniel Salazar

    2026 Cali Open – Singles

    2026_Cali_Open_–_Singles

  • 2026 World Wrestling Championships – Men's Greco-Roman 130 kg
  • Wrestling competitions

    of 16 Quarterfinals Semifinals  Dárius Vitek (HUN) 1  Razmik Kurdyan (ARM) 0R  Heiki Nabi (EST) 1  Heiki Nabi (EST) 1  Dárius Vitek (HUN) 4  Ilkham Tokhtaev (KGZ)

    2026 World Wrestling Championships – Men's Greco-Roman 130 kg

    2026_World_Wrestling_Championships_–_Men's_Greco-Roman_130_kg

  • 2025 Queen's Club Championships – Men's singles
  • 2025 tennis event results

    Semifinals 1 C Alcaraz 6 77 LL A Walton 4 64 1 C Alcaraz 6 67 7 J Thompson 5 0r J Munar 4 79 5 J Munar 7 0 1 C Alcaraz 7 6 PR R Opelka 78 6 LL A Rinderknech

    2025 Queen's Club Championships – Men's singles

    2025_Queen's_Club_Championships_–_Men's_singles

  • 2011 Italian Open – Men's singles qualifying
  •                     7 Frederico Gil 3 62     Łukasz Kubot 6 77     Łukasz Kubot 6 2 6 14 Blaž Kavčič 2 6 3 WC Marco Crugnola 5 0r 14 Blaž Kavčič 7 3  

    2011 Italian Open – Men's singles qualifying

    2011_Italian_Open_–_Men's_singles_qualifying

  • 2024 Wimbledon Championships – Men's singles
  • Tennis championship

    Halys 6 77 4 64 1 C Eubanks 4 4 2 Q Q Halys 4 6 3 6 6 A Karatsev 3 77 611 0r 21 K Khachanov 6 3 6 3 4 21 K Khachanov 6 64 713 2 15 H Rune 3 4 2 30 TM Etcheverry

    2024 Wimbledon Championships – Men's singles

    2024_Wimbledon_Championships_–_Men's_singles

  • 2024 Toray Pan Pacific Open – Singles
  • 2024 tennis event results

    Okamura 77 6 LL K Okamura 1 2 Q H Baptiste 64 3 9 K Boulter 6 6 WC B Andreescu 7 6 WC B Andreescu 2 1 Q M Yamaguchi 5 3 WC B Andreescu 3 2 B Haddad Maia 0r

    2024 Toray Pan Pacific Open – Singles

    2024_Toray_Pan_Pacific_Open_–_Singles

  • 2026 Australian Open – Men's singles
  • Tennis championship

    Q M Zheng 6 6 3 60 6 32 C Moutet 2 4 1 S Korda 4 4 6 77 3 Q M Zheng 6 1 3 0r T Schoolkate 4 61 3 32 C Moutet 3 6 6 2 32 C Moutet 6 77 6 1 C Alcaraz 78

    2026 Australian Open – Men's singles

    2026_Australian_Open_–_Men's_singles

  • Trinomial expansion
  • Formula in mathematics

    leads to (a+b+c)n=(a+d)n=∑r=0n(nr)an−rdr=∑r=0n(nr)an−r(b+c)r=∑r=0n(nr)an−r∑s=0r(rs)br−scs. Above, the resulting (b+c)r in the second line is evaluated by

    Trinomial expansion

    Trinomial expansion

    Trinomial_expansion

  • 2011 President's Cup – Men's singles
  • 2011 tennis event results

    0   5 L Lacko 77 3 4   M Jaziri 6 0     M Jaziri 62 6 6   M Ledovskikh 0 0r     M Jaziri 6 6   Q Dmitriy Makeyev 5 6 0 4 K Beck 2 1     S Betov 7 3 6

    2011 President's Cup – Men's singles

    2011_President's_Cup_–_Men's_singles

  • 2025 Monte-Carlo Masters – Singles
  • Tennis tournament event

    5 3 13 L Musetti 1 7 6 13 L Musetti 4 7 6 13 L Musetti 1 6 6 10 H Rune 2 0r 6 S Tsitsipas 6 3 4 N Borges 6 3 N Borges 7 64 6 L Sonego 4 6 2 P Martínez

    2025 Monte-Carlo Masters – Singles

    2025_Monte-Carlo_Masters_–_Singles

  • 2025 World Wrestling Championships – Men's freestyle 92 kg
  • Wrestling competitions

     Ivan Chornohuz (UKR) 2  Ivan Chornohuz (UKR) 12  Dauren Kurugliev (GRE) 0R  Benjamin Greil (AUT) 1  Osman Nurmagomedov (AZE) 2  Deepak Punia (IND) 6

    2025 World Wrestling Championships – Men's freestyle 92 kg

    2025_World_Wrestling_Championships_–_Men's_freestyle_92_kg

  • 2026 French Open (badminton)
  • Badminton tournament in France

    Vendy 21 22 8 T Hoki Y Kobayashi 23 24 Man W C Tee K W 5 4 A Chia Soh W Y 0r N M Azriyn A Tan W K 21 10 19 P Sukphun Pak Teeraratsakul 19 21 21 P Sukphun

    2026 French Open (badminton)

    2026_French_Open_(badminton)

  • Semiring
  • Algebraic ring that need not have additive negative elements

    a+b⋅c denotes a+(b⋅c). For the purpose of disambiguation, one may write 0R or 1R to emphasize which structure the units at hand belong to. If x∈R is

    Semiring

    Semiring

  • 2025 Stockholm Open – Singles
  • 2025 tennis event results

    G Zeppieri 4 2 4 U Humbert 63 6 6 Q A Fery 4 2 L Sonego 77 0 3 L Sonego 6 6 L Sonego 77 6 A Kovacevic 4 7 4 A Kovacevic 63 1 8 C Ugo Carabelli 6 5 0r

    2025 Stockholm Open – Singles

    2025_Stockholm_Open_–_Singles

  • 2026 Mubadala DC Open – Men's singles
  • 2026 tennis event results

    competition                     1 Zachary Svajda 7 6 Alt Stefan Kozlov 5 1 1 Zachary Svajda 6 63 0r WC Cruz Hewitt 1 77 2 WC Cruz Hewitt 5 8 Dušan Lajović 2r

    2026 Mubadala DC Open – Men's singles

    2026_Mubadala_DC_Open_–_Men's_singles

  • Bruun's FFT algorithm
  • Fast Fourier transform algorithm

    factorized for a factor (radix) r via: ϕrM,α(z)={∏ℓ=0r−1ϕM,(α+ℓ)/rif 0<α≤0.5∏ℓ=0r−1ϕM,(1−α+ℓ)/rif 0.5<α<1∏ℓ=0r−1ϕM,ℓ/(2r)if α=0 Bruun, Georg (1978). "z-Transform

    Bruun's FFT algorithm

    Bruun's_FFT_algorithm

  • 2026 French Open – Women's singles
  • Tennis championship

    6 D Parry 6 4 710 J Grabher 6 6 6 A Anisimova 3 6 63 Q R Šramková 2 2 J Grabher 0 0r WC T Rakotomanga Rajaonah 3 1 6 A Anisimova 6 0 6 A Anisimova 6 6

    2026 French Open – Women's singles

    2026_French_Open_–_Women's_singles

  • 2025 Delray Beach Open – Singles
  • 2025 tennis event results

    Norrie 63 5 A Shevchenko 5 65 3 A Michelsen 77 7 Q M Mmoh 7 77 Q M Mmoh 710 0r 3 A Michelsen 68 3 3 A Michelsen 63 3 7 M Kecmanović 6 6 7 M Kecmanović 77

    2025 Delray Beach Open – Singles

    2025_Delray_Beach_Open_–_Singles

  • Subaru Legacy
  • Mid-sized car by Subaru

    ranged from a normally aspirated 2.0 L flat-4 to the EZ30 flat-6 in the 3.0R model (European and Japanese trim level designation), with the twin turbo

    Subaru Legacy

    Subaru Legacy

    Subaru_Legacy

  • 2025 Barcelona Open Banc Sabadell – Singles
  • 2025 tennis event results

    S Tsitsipas 77 6 M Arnaldi 6 3 2 S Korda 64 4 S Korda 3 6 6 3 S Tsitsipas 0r P Martínez 7 5 6 7 A Fils 2 B Nakashima 5 7 4 P Martínez 3 2 WC P Carreño

    2025 Barcelona Open Banc Sabadell – Singles

    2025_Barcelona_Open_Banc_Sabadell_–_Singles

  • 2025 Guangzhou Open – Singles
  • 2025 tennis event results

    competition                     3 Kaja Juvan 7 6 WC Anna Yang 5 2 3 Kaja Juvan 6 3 7 12 Tamara Korpatsch 2 6 5   Wei Sijia 77 0 0r 12 Tamara Korpatsch 65 6 2

    2025 Guangzhou Open – Singles

    2025_Guangzhou_Open_–_Singles

  • 2024 Australian Open – Women's singles
  • Tennis championship

    Liu 3 6 1 M Kostyuk 5 6 710 M Sherif 2 0r 25 E Mertens 7 1 66 25 E Mertens 6 2 M Kostyuk 6 6 20 M Linette 2 0r Q M Timofeeva 2 1 WC C Wozniacki 6 2 WC

    2024 Australian Open – Women's singles

    2024_Australian_Open_–_Women's_singles

  • List of computer system emulators
  • Electric KDF9 Cross-platform/POSIX API: binary for OS X on PowerPC GPL3 ee9 V2.0r October 29, 2015 English Electric KDF9 Cross-platform/POSIX API: binaries

    List of computer system emulators

    List_of_computer_system_emulators

  • 2026 European Wrestling Championships – Men's freestyle 125 kg
  • Wrestling competition

     Johannes Ludescher (AUT) 5  Johannes Ludescher (AUT) 0  Alen Khubulov (BUL) 0R  Mohsen Siyar (GER) 3  Gheorghe Erhan (MDA) 2  Vladislav Baitcaev (HUN) 4

    2026 European Wrestling Championships – Men's freestyle 125 kg

    2026_European_Wrestling_Championships_–_Men's_freestyle_125_kg

  • ICD-10 Procedure Coding System
  • Medical classification system used for procedural coding

    0K map; 0L occlusion; 0M reattachment; 0N release; 0P removal; 0Q repair; 0R replacement; 0S reposition; 0T resection; 0U supplement; 0V restriction; 0W

    ICD-10 Procedure Coding System

    ICD-10_Procedure_Coding_System

  • 2026 Antalya Challenger 3 – Singles
  • 2026 tennis event results

    competition                     Alt Dalila Jakupović 6 0 Nuria Párrizas Díaz 4 0r Alt Dalila Jakupović 3 3 5 Lisa Pigato 6 6   Mia Ristić 6 65 4 5 Lisa Pigato

    2026 Antalya Challenger 3 – Singles

    2026_Antalya_Challenger_3_–_Singles

  • 2026 Columbus Challenger – Singles
  • 2026 tennis event results

    Semifinals Final                     Dylan Dietrich 6 1 5 Andy Andrade 3 0r Dylan Dietrich 6 6 7 Abdullah Shelbayh 3 2 7 Abdullah Shelbayh 6 6 Mitchell

    2026 Columbus Challenger – Singles

    2026_Columbus_Challenger_–_Singles

  • Torus
  • Doughnut-shaped surface of revolution

    R=constant, 0≤φ≤2π, and R>r≥0. Asurface=∫02π∫02πr(R+rsin⁡θ)dθdφ=4π2Rr. V=∫0r∫02π∫02πr′(R+r′sin⁡θ)dθdφdr′=2π2Rr2. The usual differential operators of vector

    Torus

    Torus

    Torus

  • Ring homomorphism
  • Structure-preserving function between two rings

    ring homomorphism. Then, directly from these definitions, one can deduce: f(0R) = 0S. f(−a) = −f(a) for all a in R. For any unit a in R, f(a) is a unit element

    Ring homomorphism

    Ring_homomorphism

  • 2024 Jasmin Open – Singles
  • 2024 tennis event results

    competition                     5 Sonay Kartal 6 6 WC Ranim Rassil 2 4 5 Sonay Kartal 6 0 12 Mariam Bolkvadze 0 0r   Ayla Aksu 4 5 12 Mariam Bolkvadze 6 7

    2024 Jasmin Open – Singles

    2024_Jasmin_Open_–_Singles

  • 2026 French Open – Men's singles
  • Tennis championship

    M Arnaldi 77 65 3 77 6 M Arnaldi 69 6 78 6 M Arnaldi 77 5 6 6 A Müller 2 0r S Tsitsipas 62 7 3 2 S Tsitsipas 6 3 M Arnaldi 6 65 5 6 710 R Collignon 6

    2026 French Open – Men's singles

    2026_French_Open_–_Men's_singles

  • 2025 Chennai Open – Singles
  • 2025 tennis event results

    Tararudee 6 2 L Tararudee 2 6 6 M Timofeeva 2 0r L Tararudee 6 6 P Iatcenko 6 5 P Iatcenko 0 2 A Charaeva 3 0r P Iatcenko 6 6 K Kawa 69 6 6 K Kawa 2 3 5 L

    2025 Chennai Open – Singles

    2025_Chennai_Open_–_Singles

  • 2019 President's Cup – Women's singles
  • 2019 tennis event results

                    1 Marie Bouzková 6 6 Q Iryna Shymanovich 0 0 1 Marie Bouzková 6 6 7 Natalija Kostić 3 3 3 Mariam Bolkvadze 1 0r 7 Natalija Kostić 6 1

    2019 President's Cup – Women's singles

    2019_President's_Cup_–_Women's_singles

  • 2026 Crete Challenger – Singles
  • 2026 tennis event results

    Kuzmanov 6 6 8 D Kuzmanov 4 2 3 L Neumayer 6 3 H Wendelken 6 6 JR J Vasamì 1 0r 3 L Neumayer 6 6 A Rybakov 1 6 6 A Rybakov 4 4 J Berrettini 6 4 4 3 L Neumayer

    2026 Crete Challenger – Singles

    2026_Crete_Challenger_–_Singles

  • 2015 OEC Kaohsiung – Singles
  • 2015 tennis event results

    Semifinals Final                     1/WC Jiří Veselý 62 0 4/WC Yuki Bhambri 77 6 4/WC Yuki Bhambri 5 4 2 Chung Hyeon 7 6 5 Tatsuma Ito 0 0r 2 Chung Hyeon 6 2

    2015 OEC Kaohsiung – Singles

    2015_OEC_Kaohsiung_–_Singles

  • 2026 Cincinnati Open – Women's singles
  • 2026 tennis event results

    Keys 4 6 6 20 M Keys 77 6 Q Xiy Wang 63 4 30 L Fernandez 6 2 2 M Timofeeva 0 0r Q Xiy Wang 3 6 6 Q Xiy Wang 6 3 Q Xiy Wang w/o Q M Stoiana 2 64 8 E Svitolina

    2026 Cincinnati Open – Women's singles

    2026_Cincinnati_Open_–_Women's_singles

  • 2025 European Badminton Championships
  • Badminton tournament in Europe

    21 21 J Oldorff 21 18 19 6 R Gemke 21 22 C V Filimon 15 20 6 R Gemke 21 15 0r J Oldorff 18 21 11 P Abián 9 20 F Roth 15 23 10 J Oldorff 21 22 J Oldorff

    2025 European Badminton Championships

    2025_European_Badminton_Championships

  • 2025 Santos Brasil Tennis Cup – Doubles
  • 2025 tennis event results

    Varona N Sánchez Izquierdo 3 4 4 A Huertas del Pino C Huertas del Pino 3 0r R Olivo PA Saraiva dos Santos 0 4 H Casanova S Rodríguez Taverna 6 0 H Casanova

    2025 Santos Brasil Tennis Cup – Doubles

    2025_Santos_Brasil_Tennis_Cup_–_Doubles

  • 2026 Los Cabos Open – Singles
  • 2026 tennis event results

    5 2 WC R Pacheco Méndez 3 2 WC R Pacheco Méndez 64 7 6 8 D Shapovalov 6 6 D Svrčina 62 77 6 D Svrčina 4 2 A Walton 77 62 3 D Svrčina 3 2 L Darderi 0r

    2026 Los Cabos Open – Singles

    2026_Los_Cabos_Open_–_Singles

  • 2023 Chengdu Open – Singles
  • 2023 tennis event results

    Thompson 6 77 WC Z Bergs 4 6 3 D Lajović 1 61 D Lajović 6 1 6 J Thompson 61 0r R Safiullin 6 6 R Safiullin 77 0 B Nakashima 4 4 R Safiullin 6 6 4 D Evans

    2023 Chengdu Open – Singles

    2023_Chengdu_Open_–_Singles

  • 2024 Swiss Indoors – Singles
  • 2024 tennis event results

    77 7 Q B van de Zandschulp 3 6 4 Q B van de Zandschulp 63 5 A Bublik 6 4 0r 3 S Tsitsipas 65 3 P Martínez 6 6 7 A Fils 77 6 J Lehečka 2 2 P Martínez 5

    2024 Swiss Indoors – Singles

    2024_Swiss_Indoors_–_Singles

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