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Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classifica-tion the predicted probability can be ...
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
A Construction of Cryptogroups     Cryptogroup  Band  Group homomorphism       font style='font-size:12px;'> 2007/12/13
In this paper, a cryptogroup is constructed by a band and a family of groups and homomorphisms satisfying some conditions.
For an integer $m \geq 4$, we define a set of $ 2^{[\frac m2]}\times 2^{[\frac m2]}$ matrices $\gamma_j(m), (j=0,1,\ldots,m-1)$ which satisfy $ \gamma_j(m)\gamma_k(m)+\gamma_k(m)\gamma_j(m)=2\eta_{jk}...

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