---- > [!definition] Definition. ([[trigonometric polynomial]]) > A **trigonometric polynomial** is a function of the form $p(\theta)=\sum_{k=-N}^{N}c_{k}e ^{ik \theta}$ > which can be written as $p(\theta)=a_{0} + \sum_{k=1}^{N} \big(a_{k} \cos(k \theta) + b_{k}\sin(k \theta)\big)$ > for $a_{k},b_{k},c_{k} \in \cc$. ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```