2 problems

Suppose $\hat{\mu}=q\mu+p\lambda$ with $q>0$, and suppose $\hat{\lambda}=q_0\mu+p_0\lambda$ is chosen as in the setup. For $m\in\mathbb{Z}$ such that $\hat{\lambda}-m\hat{\mu}$ is…

Let $\bar{\mathcal H}=(\Sigma,\bar{\boldsymbol\alpha},\bar{\boldsymbol\beta},\bar{\mathbf w},\mathbf z,\bar\tau)$ be a Heegaard diagram, and let…