Sentence examples for defining a boundary from inspiring English sources

Another layer of text, defining a boundary in the context of the work, is imposed on the photograph.

It is easy to see that this requirement is satisfied if and only if for an arbitrary increasing sequence, the sequence of the open sets is a chain, defining a boundary set.

As the exponential decay function (with distance) has infinite support, a user-defined cut-off value is required to define a boundary.

We define a boundary operator on chains, which maps chains to their boundary chains.

To this end, we define a boundary layer equations between the macroscopic domain and the coating.

Conversely, if the postulated function is not complex enough, i.e., is too 'stiff', it may define a boundary surface that lacks flexibility to accommodate the training data, hence generalize poorly.

We define a boundary function on (partial{mathfrak{C}_{n}(Gamma;(tau_{1},tau_{2}))}) by nu r,Theta)= textstylebegin{cases} u tau_{i},Theta) & mbox{on } {tau_{i}}timesGamma (i=1,2), 0 & mbox{on } [tau_{1},tau_{2}]timespartial{Gamma}.

When we define a boundary, we in other words demarcate a set of behavior by a rule.

The inequality in Eq. 6 defines a boundary between suppression and proliferation that is a function of the rate of infection.

There are no obvious places to define a boundary, even when attempting to use an arbitrary standard such as r2 above a whole genome cut off of one percentile.

In those studies, researchers defined a boundary of a neighborhood based on administrative districts (e.g., census tracts).