We prove that for some sets X1,…,Xn" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> of a field K every separately polynomial function f:X1×…×Xn→K" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> is jointly polynomial if and only if among the sets X1,…,Xn" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> there exist at most one countable set.
- ACS Style
- Kosovan, V.M.; Maslyuchenko, V.K. Differently polynomial functions. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Kosovan VM, Maslyuchenko VK. Differently polynomial functions. Bukovinian Mathematical Journal. 2018; 1(374).
- Chicago/Turabian Style
- Vasyl Mykhailovych Kosovan, Volodymyr Kyrylovych Maslyuchenko. 2018. "Differently polynomial functions". Bukovinian Mathematical Journal. 1 no. 374.