Sentence examples for define left from inspiring English sources

He is visibly uncomfortable when he has to deal with the polarizing social issues that have come so much to define left and right in American politics.

Using the braided commutator (2.3) and the Shirshov decomposition, we define (left[ right] _c,L rightarrow mathrm{End},T V)), by Open image in new window The element (left[ uright] _c) is called the hyperletter of (u in L).

Now, for given quasi-triangular spaces ((X,mathcal{D}_{C mathcal {A}})), we define left (right) (mathcal{G} -families and (mathcal{W})-families (mathcal{J}_{C;mathcal{A}}) G} -families (mandcal{D}_{C;mathcal{A}}).

We define (left |mathcal {P}_{i}right | triangleq M_{i}) (where |A| denotes the cardinality of set A) and index the elements of set (mathcal {P}_{i}) as {1,…,M i }.

Now, we define left { textstylebegin{array}l@{quad}l} Phi(theta)=phi(x)+psi(x) t hphantom{Phi(theta)=}+ frac{1}{Gamma alpha)}int_{0}^{t} t-s)^{alpha-1} t-seratorname{div}(ucdot theta(x,s)) hphantom{Phi(theta)=}+ epsilonDeltatheta(x,s) - (-Delta)^{alpha-1} -operatorname{div} ucdot Omega_{T}, theta(x,t)= 0& mbox{on } partialOmega_{T}.

Let us define (left ({mathbf {Q}^{i}_{c}},{mathbf {Q}^{i}_{a}}right)) as the output solution in ith traversal of τ ms. The following "warmstart operation" could be adopted to initialize (({tilde {mathbf {Q}}_{c,0}},{tilde {mathbf {Q}}_{a,0}})) for achieving a fast convergence rate: Warmstart operation: We start the traversal of τ ms from τ ms =τ max.

For any vehicle moving along a street we define leaving borders.

Without a doubt, it's notoriously difficult to define, leaving it up to debate amongst the experts.

An important difference between the two studies concerned the definition of left ventricular systolic dysfunction: Raymond et al. defined left ventricular systolic dysfunction as EF<40%, so cases of less severe left ventricular systolic dysfunction were treated as unimpaired.

It has been Blair's mercurial political genius to refuse to be defined left or right.

In a similar way are defined left orderable groups.