Примеры использования Textstyle на Английском языке и их переводы на Русский язык
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There are( a b){\displaystyle\textstyle{a\choose b}} orbits of size 1
The cubic( n 3{\textstyle n=3}) Bézier triangle is defined by 10 control points and is the lowest
β{\textstyle a_{ ij}=( s_{ ij})^{\ beta}},
mixing matrix G{\textstyle{\boldsymbol{G}}}, where g i j 1{\displaystyle g_{ij}=1}
is n{\textstyle n}, the sub-ring becomes the ring of polynomials of degree less than n{\displaystyle n} modulo Φ( x){\displaystyle\Phi(x)} with coefficients from
values up to x, giving∑ k 0 x{ n k}{\displaystyle\textstyle\sum_{ k=0}^{ x}\{{ n\atop k}\.
is 2 n- 1 2 n{\displaystyle\textstyle 2^{n}-{1\over 2^{n}}}, i.e., it grows exponentially with n{\displaystyle n},
i.e. the true distance- s 2.{\textstyle{\sqrt{- s^{ 2}}}.}
n k}{\displaystyle\lbrace\textstyle{n\atop k}\rbrace} or with other notations, count the number
so the result is given by∑ k 0 x p k( n){\displaystyle\textstyle\sum_{ k=0}^{ x}
q{\displaystyle\textstyle{\binom{ n}{ k}}_{ q}} is a polynomial in q with integer coefficients,
Compared to the case of counting surjective functions up to permutations of X only({ n x}{\displaystyle\textstyle\{{n\atopx}\}}), one only retains the sizes of the equivalence classes that the function partitions N into(including the multiplicity of each size),
One therefore chooses m{\displaystyle\textstyle m} elements out of n 1+⋯+ n p{\displaystyle\textstyle n_{1}+\dots+n_{p}} in the left-hand side,
The quotient ring is typically the finite quotient(factor) ring formed by reducing all of the polynomials in F q{\textstyle\mathbf{F}_{q}} modulo an irreducible polynomial Φ( x){\textstyle\Phi x.
Various visualizations of the icosahedron edit In geometry, a Schlegel diagram is a projection of a polytope from R d{\textstyle\mathbb{R}^{d}} into R d- 1{\textstyle\mathbb{R}^{d-1}}
running FastICA on binary observation data to get the mixing matrix G{\textstyle{\boldsymbol{G}}}(real values), then apply round number techniques on G{\textstyle{\boldsymbol{G}}}
typically the field Z/ q Z F q{\textstyle\mathbf{Z}/q\mathbf{Z}=\mathbf{F}_{q}} for a prime integer q{\textstyle q.
The expression is equivalent to h 2 A b{\textstyle h={\frac{2A}{b}}}, which can be obtained by rearranging the standard formula for the area of a triangle: A 1 2 b h{\textstyle A={\frac{1}{2}}bh},
This family includes the normal distribution when β 2{\displaystyle\textstyle\beta =2}(with mean μ{\displaystyle\textstyle\mu} and variance α 2 2{\displaystyle\textstyle{\frac{\alpha^{2}}{2}}})
platykurtic densities spanning from the normal( β 2{\displaystyle\textstyle\beta =2})