Sentence examples similar to is essential to exist from inspiring English sources

Since (C_{alpha}) is essential, to given any number (epsilon>0), there exists a corresponding number (delta>0) such that (F_{k}(psi^{prime } cap[C_{alpha}+B_{epsilon}(0)]neqemptyset) for all (psi ^{prime}inmathcal{M}) such that (rho_{k}^{u}(psi^{prime},psi _{f})<delta).

Since (C_{alpha}) is essential, to given any number (epsilon>0), there exists a corresponding number (delta>0) such that (F_{s}(E^{prime} cap[C_{alpha}+B_{epsilon }(0)]neqemptyset) for all (E^{prime}inmathcal{E} ) such that (rho_{s}^{u}( E^{prime},E <delta).

The latter point is essential to proving that the coalescent effective size exists [55].

Understanding where our collective biases come from, not merely that they exist, is essential to figuring out how we might undo them.

Imperfection is essential to art.

Memory is essential to us.

It is essential to recognize the good practices that exist at the local level on science-based decision making for DRR.

(Please note: Inclusion here does not mean Fuqua endorses the organizations. Our goal is to make you aware of resources that exist, yet it is essential to evaluate any organization for its fit with your situation and circumstance).

In her opinion, a refusal to hide and pretend older gamers don't exist is essential to fixing the online culture.

"Then everybody would know there are lots of older people and it wouldn't be such a big deal". In her opinion, a refusal to hide and pretend older gamers don't exist is essential to fixing the online culture.

"Then everybody would know there's lots of older people and it wouldn't be such a big deal". In her opinion, a refusal to hide and pretend older gamers don't exist is essential to fixing the online culture.