Sentence examples for defined in the interval from inspiring English sources

The basic mathematical operations are defined in the interval algebra.

where Q2 x) is a real symmetric matrix-valued function defined in the interval [0, π].

Let C be the set of all continuous functions defined in the interval ([ -h,0 ]).

Let (F x)) be defined in the interval (0< x

Each solution of (2.1) which is defined in the interval and satisfying the condition is said to be a solution of the initial value problem (2.1 - 2.3 2.1 - 2.3

Furthermore, it corresponds to the cdf of a uniform random variable defined in the interval ([!0,max {pi (z),q_{t} z|mathcal {S}_{t})}]).

A total of 200 equidistant values were defined in the search interval.

The lower level includes a sequence of discrete-time, finite-horizon optimal control problems, each defined in the time interval between two consecutive switches.

We define (T^{epsilon}= min(T_{ast}, T_{epsilon}) > 0) so that the exact solution and the approximate solution are both defined in the time interval ([0,T^{epsilon}]).

Our answer makes use of the definition of oscillation given at the end of Section 5.1: The solutions of equation (61), the Chebyshev polynomials, are defined in the closed interval ([-1, 1]); therefore, the lowest-order solution that can be called oscillatory according to our definition is the (n=3) polynomial.

Under the assumptions (A_{1}) and (A_{2}), there exist (T_{epsilon}> 0) and a unique smooth solution ((h^{epsilon}, u^{epsilon})) to the system (1.1 - 1.3 1.1 - 1.3in the time interval ([0,T_{epsilon}]), with bigl(h^{epsilon}, u^{epsilon} bigr)in C^{1} bigl([0, T_{epsilon}];H^{s}(Omega) bigr) cap C bigl([0, T_{epsilon}];H^{s+1}(Omega) bigr).