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New Sigma 18-35: What does f/2.7 DOF equivalent mean?

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HELP!!! According to DPReview: "The lens will offer the depth-of-field equivalent of a constant F2.7 on full-frame...". Yes, I have read the other thread on this lens, but still cannot understand the logic behind this. Is this the same basic premise that DOF increases as the sensor size decreases?
 
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