Oh boy of course they'll make you open every app's settings page individually to disable them one by one, and then have to go and do it again for each new app install after that like Siri. I don't understand why they can't just have ONE button to turn their garbage off, it's very user hostile
This kind of answer is ok but since the purpose of "sending stuff back in time" is technological uplift, you can only predict the first key. Everything else could be accelerated. (maybe that's fine but doesn't fit the spirit of the question)
Null sets in and of themselves have nothing to do with Lebesgue integrals. Null sets are definitely are not defined by Lebesgue integrals, you might be thinking of a set of measure zero which has to do with Lebesgue measure
It wouldn't matter if the preimage of the hash were needed for authentication.
Because, if a device has all of the information needed to connect to a network on it, then.. well, it has all of the information needed to connect to a network on it. Could be passwords, hashes, or whatever -- doesn't really matter.
Yes, but I suppose GPs question was "is that enough to authenticate?" – and given that as you say Linux and iOS/macOS (for Wi-Fi "password" sharing with nearby devices) do support that, and my other comment, the answer is "yes".
Not for WPA-PSK. The PSK is used to derive the PMK from (simplified) something like PMK = Hash(PSK, SSID). This key is static and never changes for the lifetime of a particular SSID, and is also shared across all devices in WPA-PSK.
From the PMK, all other per-connection keys are then derived at association time, but everybody that captures that conversation can derive all further keys since that exchange uses only symmetric functions with all secret inputs derived from the PMK, not something like Diffie-Hellman.
It's unfortunately not easy to do anything more resistant against compromised clients without storage on the APs (or at least a stable encryption key available to all access points of an SSID), so WPA-PSK doesn't – for anything more robust than that, you need WPA-EAP. (Some networks support a per-station/MAC address PSK as a proprietary feature, but that's only possible because they do have some management plane that allows the APs to share the required state.)
They could attempt to slow down the ad-ridden stupidity train they have everyone riding on, believing there is no such thing as iphone security tools besides the steaming iOs UpDaTeS
