The phrase "setting an example" is a correct and common phrase in written English.
It means to behave in a way that serves as a model for others to follow. Example: "The teacher always emphasizes the importance of setting a good example for the students."
In the setting of Example 2.2, retain the same mappings and and define as with.
In the setting of Example 2.2, we define, besides retaining the rest of the example as it stands.
Recalling the setting of Example 2.2, note that the supertrace for (W = V oplus V^*) is odd under the (mathfrak {gl} -automorphism (tau ) fixing (mathfrak {gl} -automorphismmataum {STr}_W circ tau = - mathrm {STr}_W,).
Example 4.3 In the setting of Example 4.1, replace the self-mappings A, B, S and T by the following besides retaining the rest: We obtain A ( X ) = { 1, 5 } ⊂ [ 1, 13 ] = T ( X ) and B ( X ) = { 1, 4 } ⊂ [ 1, 4 ] = S ( X ), which shows that S ( X ) and T ( X ) are closed subsets of X.
Example 4.2 In the setting of Example 4.1, replace the self-mappings A, B, S and T by the following besides retaining the rest: Then we have A ( X ) = { 1, 14 } ⊈ [ 1, 13 ] = T ( X ) and B ( X ) = { 1, 5 } ⊈ [ 1, 4 ] = S ( X ), hence S ( X ) and T ( X ) are closed subsets of X.
Also all the involved mappings are even discontinuous at their unique common fixed point 3. Example 4.2 In the setting of Example 4.1, replace the self mappings S and T by the following, besides retaining the rest: S ( x ) = { 3, if x = 3 ; 6, if x ∈ ( 3, 11 ] ; x + 1 4, if x ∈ ( 11, 23 ) ; T ( x ) = { 3, if x = 3 ; 15, if x ∈ ( 3, 11 ] ; x − 8, if x ∈ ( 11, 23 ).
A set of example images are displayed in Fig. 11.
The manufacturer describes 20 and 30 °C as a set of example for calibration.
We describe a set of example applications that are arising from the capabilities, theories and design practices previously described.
A set of example demonstrations of ways of successfully completing a task are collected from individuals directly performing the task.
This paper presents an Inductive Logic Programming method for inferring operational requirements from a set of example scenarios and an initial but incomplete requirements specification.
