Math  /  Discrete

QuestionICS 6B homework submissions are timestamped on submission up to an accuracy of 0.01 s . Consider the domain of all homework submissions over a relation RR where xRyx R y if yy is submitted before xx. It is possible that close to a deadline with an increase in the number of submissions per unit time the server notes multiple submissions to have been submitted on the same time. Check all that apply to RR and you ONLY need to explain which order it is (no need to justify for the other relation properties). \square Symmetric Transitive
Reflexive Anti-symmetric Not transitive
Anti-reflexive Neither Symmetric nor Anti-reflexive Anti-symmetric Partial Order Strict Order Total Order Explanation:

Studdy Solution
Classify the relation as a partial order, strict order, or total order.
- Partial Order: A relation that is reflexive, anti-symmetric, and transitive. Since R R is anti-reflexive, it cannot be a partial order.
- Strict Order: A relation that is anti-reflexive, anti-symmetric, and transitive. R R satisfies all these properties.
- Total Order: A strict order where for any x x and y y , either xRy x R y , yRx y R x , or x=y x = y must hold. Since multiple submissions can have the same timestamp, R R is not a total order.
Conclusion: The relation R R is a strict order.
The relation R R is a strict order.

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