MATHEMATICALLY
\mˌaθɪmˈatɪkli], \mˌaθɪmˈatɪkli], \m_ˌa_θ_ɪ_m_ˈa_t_ɪ_k_l_i]\
Definitions of MATHEMATICALLY
 2006  WordNet 3.0
 2011  English Dictionary Database
 1871  The Cabinet Dictionary of the English Language
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with respect to mathematics; "mathematically impossible"
By DataStellar Co., Ltd

adv. According to mathematical laws or principles; demonstrably; with mathematical certainty.