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Kickboxing promotion
K-1 is a professional kickboxing promotion, founded in 1993 by martial artist Kazuyoshi Ishii. It is currently owned and operated by M-1 Sports Media Co
K-1
or K-1 Amateur events. Legend K-1 World Grand Prix (FEG / K-1 GHL; 1993–2014) K-1 World MAX (FEG / K-1 GHL; 1993–2014) K-1 World GP Japan (M-1; 2014–present)
List_of_K-1_events
Topics referred to by the same term
dictionary. K1, K.I, K01, K 1 or K-1 can refer to: K1, another name for Masherbrum, a mountain in the Karakoram range in Pakistan Kōnāhuanui 1, a mountain
K1
Mixed martial arts events
the history of the K-1, a global kickboxing promotion. The year started with K-1 World GP 2026 -90kg World Championship Tournament. K-1 World GP 2026 –90 kg
2026_in_K-1
Type of American visa
A K-1 visa is a visa issued to the fiancé or fiancée of a United States citizen to enter the United States. A K-1 visa requires a foreigner to marry his
K-1_visa
Heat required to raise the temperature of a given unit of mass of a substance
joule per kelvin per kilogram, J⋅kg−1⋅K−1. For example, the heat required to raise the temperature of 1 kg of water by 1 K is 4184 joules, so the specific
Specific_heat_capacity
Association football league in South Korea
The K League 1 (Korean: K리그1) is a professional association football league in South Korea and the highest level of the South Korean football league system
K_League_1
British strategic bomber and tanker aircraft
(K.2P) 2-point in-flight refuelling tanker retaining bomber capability, six converted. Victor BK.1 3-point in-flight refuelling tanker (renamed K.1 after
Handley_Page_Victor
Camera model
The Pentax K-1 is the first production Pentax full-frame digital SLR camera. As the flagship model of the Pentax K-mount system, it includes several new
Pentax_K-1
Number of subsets of a given size
relation: ( n k 1 , k 2 , … , k r ) = ( n − 1 k 1 − 1 , k 2 , … , k r ) + ( n − 1 k 1 , k 2 − 1 , … , k r ) + … + ( n − 1 k 1 , k 2 , … , k r − 1 ) {\displaystyle
Binomial_coefficient
Slovak super car by K-1 Engineering
The K-1 Attack Roadster is a sports car built by the Slovak car company K-1 Engineering. The cars are manufactured by hand in Bratislava. The Attack was
K-1_Attack
2 lb) K-1 FEG (1993-2010) K-1 (2024–present) K-1 FEG (1993-2010) K-1 (2024–present) Legend: K-1 World Grand Prix Qualifier K-1 FEG (2002-2010) K-1 (2024–present)
List_of_K-1_champions
Physical constant equivalent to the Boltzmann constant, but in different units
Boltzmann constant k (or kB): R = N A k = 6.02214076 ⋅ 10 23 mol − 1 ⋅ 1.380649 ⋅ 10 − 23 J ⋅ K − 1 = 8.31446261815324 J ⋅ K − 1 ⋅ mol − 1 {\displaystyle
Gas_constant
Algebraic expansion of powers of a binomial
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 {\displaystyle {\begin{array}{c}1\\1\quad 1\\1\quad 2\quad 1\\1\quad 3\quad
Binomial_theorem
Annual martial arts tournament from 1993
K-1 World Grand Prix, also known as the K-1 WORLD GP, is an elimination kickboxing tournament that was originally held annually from 1993 by the K-1 organization
K-1_World_Grand_Prix
Probability distribution
that the k {\displaystyle k} -th trial is the first success is Pr ( X = k ) = ( 1 − p ) k − 1 p {\displaystyle \Pr(X=k)=(1-p)^{k-1}p} for k = 1 , 2 , 3
Geometric_distribution
Property of certain anonymized data
the k-anonymity property if the information for each person contained in the release cannot be distinguished from at least k − 1 {\displaystyle k-1} individuals
K-anonymity
Probability distribution and special case of gamma distribution
and X ∼ W 1 ( 1 , k ) {\displaystyle X\sim {\text{W}}_{1}(1,k)} . The scaled chi-squared distribution s 2 χ k 2 {\displaystyle s^{2}\chi _{k}^{2}} is a
Chi-squared_distribution
Mathematical constant described by Marvin Ray Burns
( ( 2 k ) 1 / ( 2 k ) − ( 2 k − 1 ) 1 / ( 2 k − 1 ) ) . {\displaystyle 0.187859\ldots =\sum _{k=1}^{\infty }(-1)^{k}(k^{1/k}-1)=\sum _{k=1}^{\infty
MRB_constant
Divergent series
positive integers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number ∑ k = 1 n k = n ( n + 1 ) 2 , {\displaystyle
1_+_2_+_3_+_4_+_⋯
Difference between logarithm and harmonic series
H k − 1 − log k + ∑ n = 1 ∞ ( n − 1 ) ! | G n | k ( k + 1 ) ⋯ ( k + n − 1 ) = H k − 1 − log k + 1 2 k + 1 12 k ( k + 1 ) + 1 12 k ( k + 1 ) ( k +
Euler's_constant
Combinatorial identity about binomial coefficients
n=k_{1}+k_{2}+k_{3}+\cdots +k_{p}\geq 1} , ( n − 1 k 1 − 1 , k 2 , k 3 , … , k p ) + ( n − 1 k 1 , k 2 − 1 , k 3 , … , k p ) + ⋯ + ( n − 1 k 1 , k 2
Pascal's_rule
Signed odd unit fractions sum to π/4
π 4 = 1 − 1 3 + 1 5 − 1 7 + 1 9 − ⋯ = ∑ k = 0 ∞ ( − 1 ) k 2 k + 1 , {\displaystyle {\frac {\pi }{4}}=1-{\frac {1}{3}}+{\frac {1}{5}}-{\frac {1}{7}}+{\frac
Leibniz_formula_for_π
American MMA fighter, wrestler, actor (b. 1973)
Bill Goldberg and Keiji Mutoh. He first appeared in Wrestle-1, a copromotion between K-1 and AJPW, where he faced Mutoh's alter ego The Great Muta in
Bob_Sapp
Football season in South Korea
The 2026 K League 1, also known as the Hana Bank K League 1 for sponsorship reasons, is the ongoing 44th season of the top division of professional football
2026_K_League_1
Dutch mixed martial artist (born 1980)
Dream Heavyweight Champion, K-1 World Grand Prix Champion, and was the first fighter to hold world titles in MMA and K-1 kickboxing at the same time.
Alistair_Overeem
Selection of items from a set
( n k ) = n ( n − 1 ) ⋯ ( n − k + 1 ) k ( k − 1 ) ⋯ 1 , {\displaystyle {\binom {n}{k}}={\frac {n(n-1)\dotsb (n-k+1)}{k(k-1)\dotsb 1}},} which using factorial
Combination
Top-down parser that parses input from left to right
called an LL(k) language if it has an LL(k) grammar. The set of LL(k) languages is properly contained in that of LL(k+1) languages, for each k ≥ 0. A corollary
LL_parser
Expression for sums of powers
_{k=0}^{n-1}{k^{p}}} follows readily: ( n ∑ k = 0 n − 1 k 1 ∑ k = 0 n − 1 k 2 ∑ k = 0 n − 1 k 3 ∑ k = 0 n − 1 k 4 ∑ k = 0 n − 1 k 5 ∑ k = 0 n − 1 k 6 ) = ( 1 0
Faulhaber's_formula
Multi-dimensional generalization of triangle
+ ⋯ + θ k u k | ∑ i = 0 k θ i = 1 and θ i ≥ 0 for i = 0 , … , k } . {\displaystyle C=\left\{\theta _{0}u_{0}+\dots +\theta _{k}u_{k}~{\Bigg |}~\sum
Simplex
Rocket type
The Kistler K-1 was a two-stage, fully reusable launch vehicle design created by Kistler Aerospace. It was to accommodate a wide range of missions, including
Kistler_K-1
Non-parametric classification method
k-NN classifier, the output of which is a class membership decided by a plurality vote of its neighbors. k, an integer, is typically small; if k = 1,
K-nearest_neighbors_algorithm
Special function defined by an integral
d E ( k ) d k = E ( k ) − K ( k ) k {\displaystyle {\frac {dE(k)}{dk}}={\frac {E(k)-K(k)}{k}}} ( k 2 − 1 ) d d k ( k d E ( k ) d k ) = k E ( k ) {\displaystyle
Elliptic_integral
Discrete probability distribution
1 = k 1 , X 2 = k 2 ) = exp ( − λ 1 − λ 2 − λ 3 ) λ 1 k 1 k 1 ! λ 2 k 2 k 2 ! ∑ k = 0 min ( k 1 , k 2 ) ( k 1 k ) ( k 2 k ) k ! ( λ 3 λ 1 λ 2 ) k {\displaystyle
Poisson_distribution
Signal with equal energy per octave
d ) = ∑ k J 0 ( 2 π k d N ) k ∑ k 1 k , {\displaystyle r(d)={\frac {\sum _{k}{\frac {J_{0}({\frac {2\pi kd}{N}})}{k}}}{\sum _{k}{\frac {1}{k}}}},} where
Pink_noise
Mixed martial arts events
the history of the K-1, a global kickboxing promotion. The year started with the K-1 World MAX 2024 Super Welterweight Final 16. K-1 World MAX 2024 - World
2024_in_K-1
Number of integers coprime to and less than n
1 k 1 ) φ ( p 2 k 2 ) ⋯ φ ( p r k r ) = p 1 k 1 ( 1 − 1 p 1 ) p 2 k 2 ( 1 − 1 p 2 ) ⋯ p r k r ( 1 − 1 p r ) = p 1 k 1 p 2 k 2 ⋯ p r k r ( 1 − 1 p 1 )
Euler's_totient_function
French kickboxer
career in K-1 and became known for his aggressive fighting style and knockout power. He is a 2-time K-1 World Grand Prix runner up, a 2-time K-1 Preliminary
Jérôme_Le_Banner
Italian-Armenian kickboxer (born 1985)
competing for It's Showtime and K-1, and he established himself as the world's top middleweight with two consecutive K-1 World MAX World Championship Tournament
Giorgio_Petrosyan
Algorithm that estimates unknowns from a series of measurements over time
k ∣ k − 1 − P k ∣ k − 1 H k T K k T + K k ( H k P k ∣ k − 1 H k T + R k ) K k T = P k ∣ k − 1 − K k H k P k ∣ k − 1 − P k ∣ k − 1 H k T K k T + K k S
Kalman_filter
Formula for computing the nth base-16 digit of π
9 = 1 10 + 1 200 + 1 3 000 + 1 40 000 + 1 500 000 + ⋯ = ∑ k = 1 ∞ 1 10 k ⋅ k = 1 10 ∑ k = 0 ∞ [ 1 10 k ( 1 k + 1 ) ] = 1 10 P ( 1 , 10 , 1 , ( 1 ) )
Bailey–Borwein–Plouffe formula
Bailey–Borwein–Plouffe_formula
S-shaped curve
where L = 1 , k = 1 , x 0 = 0 {\displaystyle L=1,k=1,x_{0}=0} , which has the equation f ( x ) = 1 1 + e − x {\displaystyle f(x)={\frac {1}{1+e^{-x}}}}
Logistic_function
Partition of a graph into spanning subgraphs
mathematics Conjecture: If n is odd and k ≥ n, then G is 1-factorable. If n is even and k ≥ n − 1 then G is 1-factorable. More unsolved problems in mathematics
Graph_factorization
+ 1 = y n + h ∑ i = 1 s b i k i k 1 = f ( t n , y n ) , k 2 = f ( t n + c 2 h , y n + h ( a 21 k 1 ) ) , k 3 = f ( t n + c 3 h , y n + h ( a 31 k 1 +
List_of_Runge–Kutta_methods
Generalized scaling operation in geometry
_{1})} ; in case of k 1 k 2 ≠ 1 {\displaystyle k_{1}k_{2}\neq 1} point S 3 : s 3 = ( 1 − k 1 ) k 2 s 1 + ( 1 − k 2 ) s 2 1 − k 1 k 2 = s 1 + 1 − k 2 1
Homothety
Generalizations of the Riemann zeta function
( s 1 , … , s k ) = ∑ n 1 > n 2 > ⋯ > n k > 0 1 n 1 s 1 ⋯ n k s k = ∑ n 1 > n 2 > ⋯ > n k > 0 ∏ i = 1 k 1 n i s i , {\displaystyle \zeta (s_{1},\ldots
Multiple_zeta_function
Logarithm to the base of the mathematical constant e
x + 1 ∑ k = 0 ∞ 1 2 k + 1 ( ( x − 1 ) 2 ( x + 1 ) 2 ) k = 2 ( x − 1 ) x + 1 ( 1 1 + 1 3 ( x − 1 ) 2 ( x + 1 ) 2 + 1 5 ( ( x − 1 ) 2 ( x + 1 ) 2 ) 2 +
Natural_logarithm
Discrete probability distribution
variable: f ( k ) = − 1 ln ( 1 − p ) p k k {\displaystyle f(k)={\frac {-1}{\ln(1-p)}}\;{\frac {p^{k}}{k}}} for k ≥ 1, and where 0 < p < 1. Because of
Logarithmic_distribution
Sum of inverse squares of natural numbers
− 1 ) k k e k ( x 1 , … , x n ) = ∑ j = 1 k ( − 1 ) k − j − 1 p j ( x 1 , … , x n ) e k − j ( x 1 , … , x n ) , {\displaystyle (-1)^{k}ke_{k}(x_{1},\ldots
Basel_problem
Series related to Ramanujan's pi formulas
( k + 1 ) 3 s k + 1 = 2 ( 2 k + 1 ) ( 5 k 2 + 5 k + 2 ) s k − 8 k ( 7 k 2 + 1 ) s k − 1 + 22 k ( k − 1 ) ( 2 k − 1 ) s k − 2 {\displaystyle (k+1
Ramanujan–Sato_series
Mathematical constant
\{g_{k}\}_{k=1}^{n}} is an arbitrary sequence, then two of the sums in the sequence { ∑ k = 1 K g k } K = 0 n {\displaystyle \left\{\sum _{k=1}^{K}{g_{k
Davenport_constant
Dutch kickboxer
competed in every K-1 World Grand Prix except one, in 2009. A three-time K-1 World Grand Prix Champion, he debuted at the inaugural K-1 World GP in 1993
Peter_Aerts
Pictorial representation of the behavior of subatomic particles
k 1 ) ϕ ( k 2 ) ϕ ( k 3 ) ϕ ( k 4 ) ⟩ = δ ( k 1 − k 2 ) k 1 2 δ ( k 3 − k 4 ) k 3 2 + δ ( k 1 − k 3 ) k 3 2 δ ( k 2 − k 4 ) k 2 2 + δ ( k 1 − k 4 ) k
Feynman_diagram
Problem in statistical estimation
] + [ x ≥ m ] k − 1 k ( m − 1 k − 1 ) 1 ∑ n = x + 1 ∞ 1 ( n k ) = [ x < m ] + [ x ≥ m ] k − 1 k ( m − 1 k − 1 ) 1 ⋅ k k − 1 1 ( x k − 1 ) = [ x < m ]
German_tank_problem
Full-contact hybrid martial art and combat sport
and champion titles are issued by individual promotions, such as Glory, K-1 and ONE Championship among others. Bouts organized under different governing
Kickboxing
Orthonormalization of a set of vectors
u k ( 1 ) = v k − proj u 1 ( v k ) , u k ( 2 ) = u k ( 1 ) − proj u 2 ( u k ( 1 ) ) , ⋮ u k ( k − 2 ) = u k ( k − 3 ) − proj u k − 2 ( u k ( k −
Gram–Schmidt_process
Polyhedral number representing a tetrahedron
n = ∑ k = 1 n T k = ∑ k = 1 n k ( k + 1 ) 2 = ∑ k = 1 n ( ∑ i = 1 k i ) {\displaystyle Te_{n}=\sum _{k=1}^{n}T_{k}=\sum _{k=1}^{n}{\frac {k(k+1)}{2}}=\sum
Tetrahedral_number
Extension of superfactorials to the complex numbers
k = 2 ∞ ( − 1 ) k ζ ( k ) k + 1 z k + 1 ] = ∏ k = 1 ∞ { ( 1 + z k ) k exp ( z 2 2 k − z ) } {\displaystyle \exp \left[\sum _{k=2}^{\infty }(-1)^{k}{\frac
Barnes_G-function
Formulation of classical mechanics
k = 1 N C k ⋅ δ r k = 0 , {\displaystyle \sum _{k=1}^{N}\mathbf {C} _{k}\cdot \delta \mathbf {r} _{k}=0,} so that ∑ k = 1 N ( N k − m k a k ) ⋅ δ r k
Lagrangian_mechanics
Mathematical space
<i_{k-1}\leq n} and 1 ≤ j 1 < j 2 ⋯ < j k + 1 ≤ n {\displaystyle 1\leq j_{1}<j_{2}\cdots <j_{k+1}\leq n} of k − 1 {\displaystyle k-1} and k + 1 {\displaystyle
Grassmannian
Control loop feedback mechanism
t k ) = u ( t k − 1 ) + ( K p + K i Δ t + K d Δ t ) e ( t k ) + ( − K p − 2 K d Δ t ) e ( t k − 1 ) + K d Δ t e ( t k − 2 ) {\displaystyle u(t_{k
PID_controller
The K-1 was an experimental blimp designed by the United States Navy in 1929. The K-1 was not the prototype of the later K-class blimps. Due to the inability
K-1_(airship)
Graphical aid for deriving some concepts in combinatorics
( ( n + 1 k − 1 ) ) = ( ( k n ) ) = ( n + k − 1 k − 1 ) = ( 10 + 4 − 1 4 − 1 ) = ( 13 3 ) = 286 , {\displaystyle \left(\!\!{n+1 \choose k-1}\!\!\right)=\left(\
Stars and bars (combinatorics)
Stars_and_bars_(combinatorics)
Swiss karateka and kickboxer
edition, Hug transitioned to K-1 kickboxing, scoring a first round knockout of Ryuji Murakami in his professional debut at K-1 Andy's Glove in November 1993
Andy_Hug
Family of implicit and explicit iterative methods
k 1 ) h ) , k 3 = f ( t n + c 3 h , y n + ( a 31 k 1 + a 32 k 2 ) h ) , ⋮ k s = f ( t n + c s h , y n + ( a s 1 k 1 + a s 2 k 2 + ⋯ + a s , s − 1
Runge–Kutta_methods
Probability distribution
function: f ( k , n , p ) = Pr ( X = k ) = ( n k ) p k ( 1 − p ) n − k {\displaystyle f(k,n,p)=\Pr(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}} for k = 0, 1, 2, ..
Binomial_distribution
1997 video game
K-1 Revenge, known in Japan as Fighting Illusion: K-1 Revenge (ファイティングイリュージョン 〜K-1 リベンジ〜, Faitingu Iryūjon 〜K-1 Ribenji〜), is a video game based on the
K-1_Revenge
Soviet airliner
K-1 (Russian Калинин К-1), also known as RVZ-6, was a Soviet passenger plane that could carry three people. Konstantin A. Kalinin began work on the K-1
Kalinin_K-1
Mathematical theorem on convolved binomial coefficients
n 1 + ⋯ + n p m ) = ∑ k 1 + ⋯ + k p = m ( n 1 k 1 ) ( n 2 k 2 ) ⋯ ( n p k p ) . {\displaystyle {n_{1}+\dots +n_{p} \choose m}=\sum _{k_{1}+\cdots +k_{p}=m}{n_{1}
Vandermonde's_identity
Mathematical series with a finite sum
∑ k = 1 n a k . {\displaystyle S_{n}=a_{1}+a_{2}+\cdots +a_{n}=\sum _{k=1}^{n}a_{k}.} A series is convergent (or converges) if the sequence ( S 1 , S
Convergent_series
Continuous probability distribution
W e i b 1 ∥ W e i b 2 ) = log k 1 λ 1 k 1 − log k 2 λ 2 k 2 + ( k 1 − k 2 ) [ log λ 1 − γ k 1 ] + ( λ 1 λ 2 ) k 2 Γ ( k 2 k 1 + 1 ) − 1 {\displaystyle
Weibull_distribution
Non-sinusoidal waveform
{2a}{\pi }}\sum _{k=1}^{\infty }{(-1)}^{k}{\frac {\sin(2\pi kft)}{k}}} x reverse sawtooth ( t ) = 2 a π ∑ k = 1 ∞ ( − 1 ) k sin ( 2 π k f t ) k {\displaystyle
Sawtooth_wave
Hip hop collective in France
Mafia K-1 Fry sometimes stylized as Mafia K'1 Fry is a French collective of hip hop artists, rappers, beatboxers, DJs, MCs and music producers mostly
Mafia_K-1_Fry
Statistical model for a binary dependent variable
log-likelihood: ℓ = ∑ k : y k = 1 ln ( p k ) + ∑ k : y k = 0 ln ( 1 − p k ) = ∑ k = 1 K ( y k ln ( p k ) + ( 1 − y k ) ln ( 1 − p k ) ) {\displaystyle
Logistic_regression
Figurate number
for 1 {\displaystyle 1} : T 1 = ∑ k = 1 1 k = 1 ( 1 + 1 ) 2 = 2 2 = 1. {\displaystyle T_{1}=\sum _{k=1}^{1}k={\frac {1(1+1)}{2}}={\frac {2}{2}}=1.} Now
Triangular_number
Wing shape
[ k 2 k 1 ( x c − r ) 3 − k 2 k 1 ( 1 − r ) 3 x c − r 3 x c + r 3 ] . {\displaystyle {\frac {y}{c}}={\frac {k_{1}}{6}}\left[{\frac {k_{2}}{k_{1}}}\left({\frac
NACA_airfoil
Square of a triangular number
mathematical notation for summation: ∑ k = 1 n k 3 = ( ∑ k = 1 n k ) 2 . {\displaystyle \sum _{k=1}^{n}k^{3}=\left(\sum _{k=1}^{n}k\right)^{2}.} This identity is
Squared_triangular_number
Probability distribution
f ( x 1 , … , x K ; α 1 , … , α K ) = 1 B ( α ) ∏ i = 1 K x i α i − 1 {\displaystyle f\left(x_{1},\ldots ,x_{K};\alpha _{1},\ldots ,\alpha _{K}\right)={\frac
Dirichlet_distribution
Subject area in mathematics
that for a field k, the second K-group is given by K 2 ( k ) = k × ⊗ Z k × / ⟨ a ⊗ ( 1 − a ) ∣ a ≠ 0 , 1 ⟩ . {\displaystyle K_{2}(k)=k^{\times }\otimes
Algebraic_K-theory
Triangle inequality in Lp spaces
∑ k = 1 n | x k + y k | p ) 1 / p ≤ ( ∑ k = 1 n | x k | p ) 1 / p + ( ∑ k = 1 n | y k | p ) 1 / p {\displaystyle \left(\sum _{k=1}^{n}|x_{k}+y_{k
Minkowski_inequality
Number system extending the rational numbers
a k + 1 p k + 1 + a k + 2 p k + 2 + ⋯ {\displaystyle s=\sum _{i=k}^{\infty }a_{i}p^{i}=a_{k}p^{k}+a_{k+1}p^{k+1}+a_{k+2}p^{k+2}+\cdots } where k is an
P-adic_number
Substrings of length k contained in a biological sequence
{\displaystyle L} will have L − k + 1 {\displaystyle L-k+1} k-mers and there exist n k {\displaystyle n^{k}} total possible k-mers, where n {\displaystyle
K-mer
Numerical integration method
x k = x k − x k − 1 {\displaystyle \Delta x_{k}=x_{k}-x_{k-1}} ), then ∫ a b f ( x ) d x ≈ ∑ k = 1 N f ( x k − 1 ) + f ( x k ) 2 Δ x k . {\displaystyle
Trapezoidal_rule
Physical constant relating particle kinetic energy with temperature
constants defining the International System of Units, the SI, with k = 1.380649×10−23 J K−1. The Boltzmann constant is a proportionality constant between the
Boltzmann_constant
On products on sums of squares
( ∑ k = 1 n a k 2 ) ( ∑ k = 1 n b k 2 ) − ( ∑ k = 1 n a k b k ) 2 = ∑ i = 1 n − 1 ∑ j = i + 1 n ( a i b j − a j b i ) 2 ( = 1 2 ∑ i = 1 n ∑ j = 1 , j
Lagrange's_identity
American Samoan martial arts fighter (born 1970)
battleship USS Missouri. His K-1 achievements include winning the K-1 World Grand Prix 2004 in Las Vegas II and the K-1 World Grand Prix 2007 in Hawaii
Mighty_Mo_(kickboxer)
Generalization of the binomial distribution
f ( x 1 , … , x k ; n , p 1 , … , p k ) = Pr ( X 1 = x 1 and … and X k = x k ) = { n ! x 1 ! ⋯ x k ! p 1 x 1 × ⋯ × p k x k , when ∑ i = 1 k x i =
Multinomial_distribution
Theorem in number theory
states that ∏ n = 1 ∞ ( 1 − x n ) = ∑ k = − ∞ ∞ ( − 1 ) k x k ( 3 k − 1 ) / 2 = 1 + ∑ k = 1 ∞ ( − 1 ) k ( x k ( 3 k + 1 ) / 2 + x k ( 3 k − 1 ) / 2 ) . {\displaystyle
Pentagonal_number_theorem
Thai kickboxer (born 1982)
promotion K-1 Max in 2004. Banchamek won the tournament in 2004 defeating John Wayne Parr and Masato Kobayashi. In 2006, he gained the K-1 Max belt for
Buakaw_Banchamek
Comparison of a wide range of temperatures
Cold Matter". Extreme States of Matter. New York: Infobase. p. 112. ISBN 978-1-4381-9583-4. Retrieved 17 February 2025 – via Google Books. Deppner, Christian;
Orders of magnitude (temperature)
Orders_of_magnitude_(temperature)
Probability distribution
distribution is f ( k ; r , p ) ≡ Pr ( X = k ) = ( k + r − 1 k ) ( 1 − p ) k p r {\displaystyle f(k;r,p)\equiv \Pr(X=k)={\binom {k+r-1}{k}}(1-p)^{k}p^{r}} where
Negative binomial distribution
Negative_binomial_distribution
Concepts from linear algebra
equation λ k − a 1 λ k − 1 − a 2 λ k − 2 − ⋯ − a k − 1 λ − a k = 0 , {\displaystyle \lambda ^{k}-a_{1}\lambda ^{k-1}-a_{2}\lambda ^{k-2}-\cdots -a_{k-1}\lambda
Eigenvalues_and_eigenvectors
Mathematical function
k − 1 ) ! ! = ( 2 k − 1 ) ! 2 k − 1 ( k − 1 ) ! = ( 2 k ) ! 2 k k ! . {\displaystyle (2k-1)!!={\frac {(2k-1)!}{2^{k-1}(k-1)!}}={\frac {(2k)!}{2^{k}k!}}\
Double_factorial
Integer sequence in number theory
relation: a k + 1 = { ⌊ a k 1 2 ⌋ , if a k is even ⌊ a k 3 2 ⌋ , if a k is odd . {\displaystyle a_{k+1}={\begin{cases}\left\lfloor {a_{k}}^{\frac {1}{2}}\right\rfloor
Juggler_sequence
Four-dimensional number system
1 a 2 + a 1 b 2 i + a 1 c 2 j + a 1 d 2 k + b 1 a 2 i + b 1 b 2 i 2 + b 1 c 2 i j + b 1 d 2 i k + c 1 a 2 j + c 1 b 2 j i + c 1 c 2 j 2 + c 1 d 2 j k
Quaternion
Approximation of a function by a polynomial
k + 1 ) ( t ) k ! ( x − t ) k d t = − [ f ( k + 1 ) ( t ) ( k + 1 ) k ! ( x − t ) k + 1 ] a x + ∫ a x f ( k + 2 ) ( t ) ( k + 1 ) k ! ( x − t ) k + 1
Taylor's_theorem
= ∑ k = 1 n arctan ( t k ) π = ∑ k = 1 n sgn ( t k ) arccos ( 1 − t k 2 1 + t k 2 ) π = ∑ k = 1 n arcsin ( 2 t k 1 + t k 2 ) π = ∑ k = 1 n arctan
List of trigonometric identities
List_of_trigonometric_identities
Smooth approximation of one-hot arg max
: R K → ( 0 , 1 ) K {\displaystyle \sigma :\mathbb {R} ^{K}\to (0,1)^{K}} , where K > 1 {\displaystyle K>1} , takes a tuple z = ( z 1 , … , z K ) ∈
Softmax_function
Irreducible polynomial whose roots are nth roots of unity
a divisor of x n − 1 {\displaystyle x^{n}-1} and is not a divisor of x k − 1 {\displaystyle x^{k}-1} for any k < n {\displaystyle k<n} . Its roots are
Cyclotomic_polynomial
Mixed martial arts events
history of the K-1, a global kickboxing promotion. The year started with K-1 World MAX 2025. K-1 World MAX 2025 was a kickboxing event held by K-1 on February
2025_in_K-1
travel, tourism, insurance
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