Sentence examples for well defined that from inspiring English sources

(Phi: Krightarrow K) defined by (2.5) is well defined, that is, (Phi(K subset K).

Now we will show that the STP algorithm is well defined, that is, (13) is implementable.

It is also important to note that the operator (2) is well defined, that is, it maps simplex into itself.

Step 2. Show that g is well defined, that is, (f x,omega _{2},theta_{2})cap C(omega_{2})cap x omega_{1},theta _{1})^{downarrow}neqemptyset) for any (xin x omega_{2},theta _{2})^{downarrow}).

Step 2. Show that g is well defined, that is, (f x,omega _{1},theta_{1} cap C omega_{1} cap x(omega_{2},theta _{2})^{uparrow}neqemptyset) for any (xin x omega_{2},theta _{2})^{uparrow}).

(1.4) Unlike iteration methods with errors of [13], our iteration process (1.4) is always well defined, that is, ({x_{n}}) is always in K if K is convex subset of E. If ({beta_{n}}={0}) for all (nge1), (1.4) becomes the explicit form as follows: x_{n+1}= 1-alpha_{n})x_{n+1}= 1-alpha_{n}n}x_{n}.

Pseudohistorical knowledge of the sage Zhuangzi is even less well defined than that of Laozi.

The roles of JNK and p38 are less well defined than that of ERK.

The concept of unmasking IRIS is less well defined than that of paradoxical IRIS.

However, experimental and theoretical observations show that actual responses to specific changes follow fairly well defined patterns that suggest an evolutionary optimization of that response.

We also suggest that monocrystalline diamond is well defined substrate that can be applicable for fundamental studies of molecules on surfaces in general.