Symmetries which are not exact but which leave the vacuum invariant cannot be implemented locally. In this note we consider simple nonlocal symmetries. For the in- and out-fields, the nonlocality involved can be simply some trivial scale transformations that accompany the internal-symmetry index transformations. In particular, with proper relative normalizations, a set of in-fields ${\hat{\phi }}_{\alpha }^{\mathrm{in}}\mathrm{}\left(0\right)\mathrm{}$ will transform irreducibly under the nonlocal group. If one assumes that the vector currents $V_{\alpha }^{\mu }\mathrm{}\left(0\right)\mathrm{}$ behave like vector-meson fields $\square {\hat{\phi }}_{\alpha ,\mathrm{in}}^{\mu }\mathrm{}\left(0\right)\mathrm{}$, as far as the vacuum to one-vector-meson matrix elements are concerned, one finds $tan{\theta }_Y=tan{\theta }_B{\left(\frac{m_{\phi }}{m_{\omega }}\right)}^2 \mathrm{and} \frac{1}{3}{m}_{\rho }\Gamma (\rho \to ee)=m_{\omega }\Gamma (\omega \to ee)+m_{\phi }\Gamma (\phi \to ee)$, both previously derived from Weinberg's first sum rule. If one assumes that the weak axial-vector currents behave like the pseudoscalar meson fields ${\partial }_{\mu }{\hat{\phi }}_{\alpha }^{\mathrm{in}}\mathrm{}\left(0\right)\mathrm{}$, as far as the vacuum to one-pseudoscalar-meson matrix elements are concerned, one finds $\frac{m_{\pi }}{m_K}=\left(\frac{f_K}{f_{\pi }}\right)tan{\theta }_A$.

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