Kubín’s Scientific work represents a 35 years of an unbroken activity, dedicated to the field reserach as well as the theoretical studies. During his field researches he focused attention to folklore studies, ethnography and dialectology, especially in the areas he considered in danger of extinction (like the regions of Velenicko, Kladsko - the so called Czech corner, Střelínsko) or extraordinary in some sense, for example because of their marginal position or dialect (Hlučínsko, Podještědí, and Podkrkonoší). The largest collections of folk prose collected by Kubín are the Stories from Kladsko (Povídky kladské), containing 173 texts, and Folk Stories from Czech Podkrkonoší (Lidové povídky z českého Podkrkonoší) with 572 texts, their genres being preponderantely magic fairy tales, narrative and humourist tales, life-stories and local tales. He interested himself also in the collecting of folk songs, of which only a small portion was published, in a book called Songs form Kladsko (Kladské písničky). His dialectological works remained mainly unpublished, like his Description of the Moravian Dialect of Hlučínsko (Popis hlučínské moravčiny) or Dictionary of the Dialect of Southern Podkrkonoší (Slovník jižní podkrkonoštiny), published was the book entitled Folk Language of the Czechs of Kladsko (Lidomluva Čechů kladských). All of the texts of folk stories were recorded professionally by Kubín, which means not only the text was exact, but precise were also the linguistic and fonetic aspects of the recording. Kubín also noted the character and the cultural and social conditions of the narrators, so we can place him among the pioneers of the ecological method in ethnography. Kubín’s method and his recordings of the folk narratives judged critically in the 1920’s Václav Tille, who was collecting at the time all possible sources for his analysis of the folk prose. But Tille misinterpreted Kubín’s work, because of the different perception of the two scholars of the basic cathegories of ethnography and folk stud ies, namely, the „folk“ and the „popular-folk production“. Kubín's perception of the „folk“ comes close to a contemporary definition from a sociological point of view; considering the „folk production“, Kubín took acount of the functional borrowings, selection and transformation of the borrowed themes in folklore, and through this perception drew near to the principies of the functional-structural method, as were traced few years later by Petr Bogatyrev.
For linear differential and functional-differential equations of the $n$-th order criteria of equivalence with respect to the pointwise transformation are derived.
Like the classical Gram-Schmidt theorem for symplectic vector spaces, the sheaf-theoretic version (in which the coefficient algebra sheaf $\mathcal A$ is appropriately chosen) shows that symplectic $\mathcal A$-morphisms on free $\mathcal A$-modules of finite rank, defined on a topological space $X$, induce canonical bases (Theorem 1.1), called symplectic bases. Moreover (Theorem 2.1), if $(\mathcal {E}, \phi )$ is an $\mathcal A$-module (with respect to a $\mathbb C$-algebra sheaf $\mathcal A$ without zero divisors) equipped with an orthosymmetric $\mathcal A$-morphism, we show, like in the classical situation, that “componentwise” $\phi $ is either symmetric (the (local) geometry is orthogonal) or skew-symmetric (the (local) geometry is symplectic). Theorem 2.1 reduces to the classical case for any free $\mathcal A$-module of finite rank.