The term Wi-Fi has been accepted into our vernacular as being synonymous with wireless networking, although it technically refers to

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wireless devices certified by the
Wi-Fi Alliance. Certified Wi-Fi devices carry the Wi-Fi logo, signifying that the alliance has tested the product and found it to meet its specifications. For practical purposes, however, when someone asks how
Wi-Fi routers work, they are probably talking about a wireless router regardless of whether or not it is certified by the Wi-Fi Alliance.