2015-12-4: Difference between revisions
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(i) Exista <math>g \in K[X]</math> astfel incat <math>f(X)=g(X^{m-1})</math>; | (i) Exista <math>g \in K[X]</math> astfel incat <math>f(X)=g(X^{m-1})</math>; | ||
(ii) Pentru orice <math>a \in K^*</math> avem <math>f(X)=f(aX)</math>. | (ii) Pentru orice <math>a \in K^*</math> avem <math>f(X)=f(aX)</math>. | ||
\end{enumerate}</math> | \end{enumerate}</math> | ||
Revision as of 14:29, 2 September 2023
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Problema:} Fie Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle K} un corp cu Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m \geq 2} elemente si Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f \in K[X]} . Aratati ca urmatoarele afirmatii sunt echivalente:
(i) Exista astfel incat Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(X)=g(X^{m-1})} ;
![{\displaystyle g\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1414a4dff7c6064b41a4f7921cec55ef1c78a934)
(ii) Pentru orice Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \in K^*} avem Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(X)=f(aX)} .
\end{enumerate}</math>