C
Charles Moeller
Dick Caro and Vladimir E. Zyubin,
The concept of <b>order</b> has meaning in the space-domain. We order spaces and assign numbers to them on our measuring sticks, our memory cells, and the dials of our clocks. We can determine the direction and amount of progress by whether the numbers are increasing or decreasing, and by how much. Our program counters access instructions in predetermined orders, usually consecutive.
The concept of <b>order</b> also has meaning in the time-domain. Temporal order is the sequence of events. The order of events determines the character of the process and its results. If the order of events goes awry, the process fails. A useful measure of a process, therefore, is the correct sequence of process events. If we want to determine the temporal order of two signals marking events, A and B, we have several options:
In Turing-type systems, sequence-monitoring must be performed via translation from the time-domain to the space-domain. The signal from A is sampled, the signal from B is sampled. When A occurs, a time-stamp is recorded in a designated location and A-sampling is suspended. When B occurs, a time stamp for it is recorded in a different location and B-sampling is suspended. When both locations have time stamps, they are differenced. The sign of the difference is used to determine the order of events.
In PTQ systems, a logic operator and corresponding logic element directly determines the temporal order (sequence) of two events. The operator (A SEQ B) discriminates the order of inception of conditions A and B to signify when it is the case that A goes high first, then B goes high. The lasting condition (output high) continues in time until purposely reset (returned to a low condition). The operator (B SEQ A) discriminates the order of inception of conditions A and B to signify when it is the case that B goes high first, then A goes high. The lasting condition (output high) continues in time until purposely reset (returned to a low condition). The dynamic SEQ operator and its corresponding hardware logic elements have been configured to sense the order of inception of conditions in the continuous-time domain. No logic designed for static evaluation can accomplish that task in such a straight-forward manner. Indeed, if a TM-type system is required to determine the temporal order of the inception of diverse conditions, it must sample and time-stamp all input conditions, then perform arithmetic procedures on those time-stamps after-the-fact to determine the order in which it received the conditions.
Best regards,
CharlieM
The concept of <b>order</b> has meaning in the space-domain. We order spaces and assign numbers to them on our measuring sticks, our memory cells, and the dials of our clocks. We can determine the direction and amount of progress by whether the numbers are increasing or decreasing, and by how much. Our program counters access instructions in predetermined orders, usually consecutive.
The concept of <b>order</b> also has meaning in the time-domain. Temporal order is the sequence of events. The order of events determines the character of the process and its results. If the order of events goes awry, the process fails. A useful measure of a process, therefore, is the correct sequence of process events. If we want to determine the temporal order of two signals marking events, A and B, we have several options:
In Turing-type systems, sequence-monitoring must be performed via translation from the time-domain to the space-domain. The signal from A is sampled, the signal from B is sampled. When A occurs, a time-stamp is recorded in a designated location and A-sampling is suspended. When B occurs, a time stamp for it is recorded in a different location and B-sampling is suspended. When both locations have time stamps, they are differenced. The sign of the difference is used to determine the order of events.
In PTQ systems, a logic operator and corresponding logic element directly determines the temporal order (sequence) of two events. The operator (A SEQ B) discriminates the order of inception of conditions A and B to signify when it is the case that A goes high first, then B goes high. The lasting condition (output high) continues in time until purposely reset (returned to a low condition). The operator (B SEQ A) discriminates the order of inception of conditions A and B to signify when it is the case that B goes high first, then A goes high. The lasting condition (output high) continues in time until purposely reset (returned to a low condition). The dynamic SEQ operator and its corresponding hardware logic elements have been configured to sense the order of inception of conditions in the continuous-time domain. No logic designed for static evaluation can accomplish that task in such a straight-forward manner. Indeed, if a TM-type system is required to determine the temporal order of the inception of diverse conditions, it must sample and time-stamp all input conditions, then perform arithmetic procedures on those time-stamps after-the-fact to determine the order in which it received the conditions.
Best regards,
CharlieM