How does Apple's top end flagship manage to perform so fast with so less RAM (for instance iPhone X has maximum 3Gb RAM while top end Android phones feature 10-12 GB RAM)?

iOS. Enough said.iOS is pretty optimised. Even thats an understatement. 3–4 GB of RAM is enough for iOS to function smoothly. It never lags.Android is only starting to catch up with the optimisation standards of iOS, as you might have noticed the Pixel devices also do not have ridiculous amounts of RAM compared to other android phones.Fun Update : The latest iOS 12.1.2 is almost as snappy on my iPhone SE with 2 GB of RAM, as it is on my iPhone X with 3 GB. So for basic usage, even 2 GB is enough.

A 1 m long tube is completely filled with water. One end is open and water comes out through a hole at the other end. After hearing the first resonance, how long will it take for second resonance to occur?

The extra data supplied in the comment are:[math]h=exp(-2t)quad[m][/math] (Tube is vertical. Exponent must be negative.)Frequency: [math]f=340quad[Hz][/math]Velocity of sound: [math]v=340quad[m/s][/math]—The length of one full sound wave is: [math]lambda = v/f = 1quad[m][/math]The sound waves are approximated to be purely longitudinal.The water level in the tube is approximated as a sound reflecting surface where longitudinal standing waves have zero amplitudeSo resonances occur when the water level coincides with a point of zero amplitude in the standing wave.The open end of the tube is approximated as a sound absorbing surface where longitudinal standing waves have maximum amplitude.So the first resonance occurs when the distance from the top of the tube to the first point of zero amplitude is a quarter wave length:[math]s=lambda/4=0.25quad[m].[/math]Water level at first resonance: [math]h_1=1-0.25=0.75quad[m][/math]The second resonance must occur at the next water level where the amplitude is zero. This is one half wavelength further down.Water level at second resonance: [math]h_2=h_1-2*s=0.25quad[m][/math]—Now the times of first and second resonance can be calculated from the water level as a function of time.Time of first resonance:[math]h_1=exp(-2t_1) Rightarrow t_1=-0.5ln(h_1)[/math]Time of second resonance:[math]h_2=exp(-2t_2) Rightarrow t_2=-0.5ln(h_2)[/math]Time difference:[math]delta t=t_2-t_1=0.5*ln(h_1/h_2)[/math][math]delta t=0.5*ln(3)approx0.549quad[s][/math]

Assuming Kane’s injury will keep him out of action till end of the season, how difficult will it be for Tottenham Spurs to finish Top 4 in Premier League and keep Semi Final hope in Champions League 2019?

Well, the last time Harry was injured, Spurs’ results were :Fulham 1 Tottenham 2 (PL)Chelsea 2 Tottenham 1 (EFLC)Crystal Palace 2 Tottenham 0 (FAC)Tottenham 2 Watford 1 (PL)Tottenham 1 Newcastle 0 (PL)Tottenham 3 Leicester 1 (PL)Tottenham 3 Dortmund 0 (UCL)So discounting an FA Cup game with Palace where Spurs played a weakened team and Palace didn’t, and a very tight League Cup semi-final second leg with Chelsea, they had a 100% Premier League and Champions League record without Kane. When he came back, their form actually dipped signNowly.In the Premier League Spurs have home games against Huddersfield, Brighton, West Ham and Everton, and away games against Manchester City and Bournemouth. The squad without Kane should be more than good enough to take enough points from that run-in to finish in the top 4; in fact I would expect wins from all those games except City.In the Champions League - well we took the lead against City last night after Kane had gone off. City away is a tough ask for any team in any situation but with a lead, and without having conceded an away goal we certainly have a chance. I’d still put City as favourites, but not as clear as I would have done before last night.If we can get through next week then Juventus / Ajax will be another tough ask (as you’d expect in the CL semi-finals) but again, winnable even without Kane. Barcelona (or a team that’s good enough to beat Barcelona!) in the final would be another question - they’ve already battered us once earlier in the season although we got a creditable draw in the Nou Camp (admittedly against a weakened Barca line-up.)Tl;dr - in the PL I don’t see it being a problem; I’d still expect Spurs to comfortably finish in the top 4. In the CL it’s going to be bloody tough with or without Kane, but I don’t think losing him weakens us as much as people think.

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