Abstract: A method of operating a multi-variable process comprises deriving a multi-dimensional representation of the process variables according to individual co-ordinate axes, defining a feasible region of the process variables by selecting from an accumulation of historical sets of values of all the variables, obtained from multiple operations of the process, to define an operational envelope containing a set of data points for which the product qualities are within predetermined limits, calculating the convex hull of this set of data points, determining an interior hypercube inside the convex hull, the interior hypercube having sides that are parallel to each axis, and then operating the process with the process variables as defined within the interior hypercube.

Abstract: In an embodiment there is provided a method of controlling a user interface responsive to user input with a displayed game board comprising a plurality of object positions on said interface, the method comprising the following implemented by at least one processor of a device in communication with said interface and at least one memory: displaying a game board having a plurality of first and second game objects displayed on said game board positions, each first and second object having one or more characteristics stored in said at least one memory, the second game objects having a third characteristic, detecting an input trajectory comprising a selection of a sequence of one or more neighbouring first game objects sharing at least one same characteristic in response to user input, determining a target direction comprising a portion of said input trajectory with respect to the game board, and generating a further game object having a movement vector comprising said target direction in dependence on said portio

Abstract: There is provided a computer implemented method of controlling a user interface and displaying a game board arrangement, the method comprising the following implemented by at least one processor in communication with said interface and at least one memory: displaying a subset of a set of game objects, each game object having one or more characteristics, information on said subset of game objects and said game objects being stored in said at least one memory, determining a position and trajectory of movement in dependence on user input via said user interface, executing an algorithm for determining if a particular game object is to be selected or if a different subset of game objects is to be displayed in dependence on the position and trajectory of movement and the stored information on said subset of game objects, updating said subset of game objects and information such that the particular game object is selected or a different subset of game objects is displayed; and displaying said updated subset of objec

Abstract: In an embodiment there is provided a method of controlling a user interface responsive to user input with a displayed game board comprising a plurality of object positions on said interface, the method comprising the following implemented by at least one processor of a device in communication with said interface and at least one memory: displaying a game board having a plurality of first and second game objects displayed on said game board positions, each first and second object having one or more characteristics stored in said at least one memory, the second game objects having a third characteristic, detecting an input trajectory comprising a selection of a sequence of one or more neighbouring first game objects sharing at least one same characteristic in response to user input, determining a target direction comprising a portion of said input trajectory with respect to the game board, and generating a further game object having a movement vector comprising said target direction in dependence on said portio

Abstract: There is provided a computer implemented method of controlling a user interface and displaying a game board arrangement, the method comprising the following implemented by at least one processor in communication with said interface and at least one memory: displaying a subset of a set of game objects, each game object having one or more characteristics, information on said subset of game objects and said game objects being stored in said at least one memory, determining a position and trajectory of movement in dependence on user input via said user interface, executing an algorithm for determining if a particular game object is to be selected or if a different subset of game objects is to be displayed in dependence on the position and trajectory of movement and the stored information on said subset of game objects, updating said subset of game objects and information such that the particular game object is selected or a different subset of game objects is displayed; and displaying said updated subset of objec

Abstract: Operation of a multi-variable process involves multidimensional representation of the value (pl-p12) of the process variables (P1-P12) according to individual coordinate axes, and an operational envelope (UB,LB) derived from a group of sets of values for the process and quality variables (P1-P12,Q1-Q2) accumulated from multiple, earlier operations of the process, defines an operating zone for the process and quality variables of the process. If the current value (p7) of any process variable (P7) goes outside the envelope, an envelope (UO,LB) for a different, wider grouping of the stored data-sets is displayed at least for the quality variables (Q1-Q2). A series of nested envelopes to provide stepwise enlargement of the operating zone may be provided, but non-nested envelopes can be used where there is clustering of acceptable values of process variables of the stored data-sets. The changes to control variables to bring the values of dependent variables within a best operating range can be determined.

Abstract: Operation of a multi-variable drilling-rig is carried out within an envelope defined by convex hulls (TC,BC) that are derived from sets of historical values for the variables accumulated in a store (3) from previous operations. A display unit (5) shows the real-time values (Q01-Q10) of the variables on parallel axes (X01-X10) together with upper and lower limits (Up01-Up10, Lp01-Lp10) of the viable ranges for each variable to remain within the envelope, taking into account the current value of each other variable. The adjustment of the value of a variable (Q03) required to correct for a variable (Q08) found to be outside its viable range, is determined tentatively before implementation, by adjusting that value in the display to bring about re-calculation and display of the changes in viable ranges that would result from such adjustment.