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Equation 4 · Part 5 · How AI Datacenter Interconnects Actually Work

≤

m(Q)={1Q>K0Q≤Km(Q) = \begin{cases} 1 & Q > K \\ 0 & Q \le K \end{cases}
≤

What this part means

Less than or equal to.

Its job in the formula

Less than or equal to.

The passage around this formula

Data Center TCP refined the marking policy for the latencies and buffer sizes actually found inside a datacenter. Its authors describe DCTCP as a scheme that “leverages Explicit Congestion Notification (ECN) in the network to provide multi-bit feedback to the end hosts” rather than the single congestion bit ordinary TCP effectively gets from a drop [ 14 ] . The practical mechanism is a threshold rule applied at each switch queue: writing Q for the queue’s occupancy sampled at a packet’s arrival and K for a fixed marking threshold, the switch’s marking decision m is m(Q)={1Q>K0Q≤Km(Q) = \begin{cases} 1 & Q > K \\ 0 & Q \le K \end{cases}. so the sender receives, over many packets, a running estimate of what fraction of its recent traffic found…

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Learn the underlying idea

An inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.