![differential geometry - Motivation for constructing $F$ s.t. $\ker(\text{ curl}) \subset \text{Im}(\text{grad})$, $\ker(\text{div}) \subset \text{Im}(\text{curl})$ - Mathematics Stack Exchange differential geometry - Motivation for constructing $F$ s.t. $\ker(\text{ curl}) \subset \text{Im}(\text{grad})$, $\ker(\text{div}) \subset \text{Im}(\text{curl})$ - Mathematics Stack Exchange](https://i.stack.imgur.com/8Js6T.png)
differential geometry - Motivation for constructing $F$ s.t. $\ker(\text{ curl}) \subset \text{Im}(\text{grad})$, $\ker(\text{div}) \subset \text{Im}(\text{curl})$ - Mathematics Stack Exchange
![spacing - \DeclareMathOperator: wrong space when the operator is followed by a binary operator - TeX - LaTeX Stack Exchange spacing - \DeclareMathOperator: wrong space when the operator is followed by a binary operator - TeX - LaTeX Stack Exchange](https://i.stack.imgur.com/qQwnc.png)
spacing - \DeclareMathOperator: wrong space when the operator is followed by a binary operator - TeX - LaTeX Stack Exchange
![SOLVED: Texts: With multivariable calculus in mind. Step by step, show and calculate if the statements are true or false. 1. ∇ · F = 0: 2. F = ∇ × G, SOLVED: Texts: With multivariable calculus in mind. Step by step, show and calculate if the statements are true or false. 1. ∇ · F = 0: 2. F = ∇ × G,](https://cdn.numerade.com/ask_images/86a32bebfd2a4b82bd8fe7b6776dbfd4.jpg)