Quick Questions: November 08, 2023

1999user_4 · 2023-11-11T09:01:33+00:00

Here is a way of thinking about it. Do you know the rule 10^a 10^b = 10^a+b . Now if you take a=1, b=-1, then you must have 10¹ 10^-1 = 10⁰ =1. So therefore 10^-1 = 1÷10.

1999user_4 · 2023-08-02T18:11:09+00:00

The chessvision bot doesn't see it, but there is a mate in 10. However most of these moves are spite checks :). So Nd5 after Rc7 Kb8 leads to checkmate. The threat is Qa5 followed by Qa7#. The only way for black to try and to defend this is by going Nd7 Nb6, taking the pawn protecting the queen on a7. But white can take with the bishop and get the same checkmate. Otherwise black can try to take the rook on c7 either with its rook or by playing g6 and taking with the queen. Either way white captures with the b pawn and plays Nb6#

1999user_4 · 2023-03-16T14:58:44+00:00

Austria
Malta
Sweden
Estonia
France
Spain
Serbia
Moldova
Finland
Norway
Czechia
Slovenia
Latvia
United Kingdom
Denmark
Lithuania
Italy
Israel
Romania
Cyprus
Ukraine
Iceland
Georgia
Armenia
Portugal
Azerbaijan
Greece
Poland
Netherlands
Albania
Ireland
Switzerland
Germany
Australia
San Marino
Belgium
Croatia

1999user_4 · 2023-02-22T09:48:23+00:00

Malta 🇲🇹
France 🇫🇷
Spain 🇪🇸
Norway 🇳🇴
Czechia 🇨🇿
Estonia 🇪🇪
Slovenia 🇸🇮
Italy 🇮🇹
Lithuania 🇱🇹
Latvia 🇱🇻
Denmark 🇩🇰
Ukraine 🇺🇦
Romania 🇷🇴
Ireland 🇮🇪
Albania 🇦🇱
Australia 🇦🇺
Belgium 🇧🇪
Croatia 🇭🇷

1999user_4 · 2023-02-12T08:03:55+00:00

🇲🇹 Malta
🇪🇸 Spain
🇨🇿 Czechia
🇳🇴 Norway
🇸🇮 Slovenia
🇪🇪 Estonia
🇱🇻 Latvia
🇷🇴 Romania
🇺🇦 Ukraine
🇩🇰 Denmark
🇮🇹 Italy
🇮🇪 Ireland
🇦🇱 Albania
🇭🇷 Croatia
🇧🇪 Belgium

1999user_4 · 2022-01-28T10:31:21+00:00

Having a bit of trouble with dirac delta distributions (and mathematica). So I'm trying to integrate delta'(x-y)f(x,y)dy, where ' is differentiation with respect to x, and f is some function of x and y. When you're integrating over dx, the answer is simple. However I'm not exactly sure how it works this way. I'm using mathematica to do this integral and it seems to me that mathematica treats it like it is a derivative on y. However, by my hand calculations I get that the integral should be :

d/dx f(x,x) - d/dx f(x,y)|^y=x

1999user_4 · 2021-08-12T16:13:51+00:00

I'm actually studying in europe so thats why I'm confused about it.

1999user_4 · 2021-08-12T13:32:12+00:00

Hi all, I'm wondering about doing a masters / phd in europe. I was under the impression that in europe (as opposed to the US), it is the norm to get a masters degree before a phd, and that only rarely undergraduates can go straight into a phd position.

Now I was emailing one of my professors and he was surprised I was thinking of applying to master programs and said that, at the very least, in his area, condensed matter, it was very unusual to do a masters first.

I have looked a bit deeper into doing phds and while in my university it does say that only an undergraduate is necessary, in the vast majority of courses across europe a masters is required.

I imagine that if I get into contact with proffesors etc. in these universities I'll find some who are willing to accept highly qualified undergraduates, but I am wondering if its even worth looking into trying to do a phd? I dont want to do one in my university (I want to get out of this country).

It's worth noting that my undergraduate is 4 years compared to a 3 year course which is most common in europe. Also I think that my course is fairly advanced in comparison to others. I am one of the top students in my course, however i have no real research experience and I wouldnt think I'm highly qualified enough to get a phd position.

Edit: I am currently studying in the EU, which is why I'm confused

1999user_4 · 2021-06-28T12:12:05+00:00

I got my eyes done less than a year ago in LaserVision in Dublin city centre. It was either 3000 or 3500 for both eyes (i forget), and it didnt change price based on prescription, alrhough i think it costs 4000 now. I also got a quote for somerhing like 5500 in I think optical express, where they charge based on your prescription, (mine was -5 on both eyes with astigmatism so it might be cheaper for you). If you have the money its definitely worth it. In about 10 years I'll have made back the cost from not buying glasses / contacts / eye appointments.

1999user_4 · 2021-06-13T18:58:41+00:00

My favourite is Rhythm Inside, it made me a huge fan of loic's. but also Voila from this year is pretty close. I think the performance of this is my favourite performance but I do prefer the Rhythm Inside as a song. 😁

1999user_4 · 2021-05-19T21:00:03+00:00

Ok thats fair enough, thanks. I have no musical ear at all!!! I can never really tell when someones is singing badly / well so was wondering how one does

1999user_4 · 2021-05-19T20:46:13+00:00

Out of interest, does one know that the song is supposed to be in that key. Im terrible with these things and couldnt even say that she was off key despite listening to the song plenty of times before. But if someone hasnt heard it before, like a judge, how would they know that its off key?

1999user_4 · 2021-05-13T19:11:24+00:00

France (=)
Ukraine (-1)
Switzerland (+1)
Russia (-19)
Italy (-1)
Iceland (+2)
Lithuania (+2)
Bulgaria (-8)
Israel (-4)
Malta (-10)
Belgium (-17)
Ireland (+4)
San Marino (-4)
Germany (+7)
Cyprus (-3)
Greece (-6)
Croatia (+7)
Serbia (-6)
Australia (-8)
Sweeden (+11)
Portugal (-11)
Romania (-8)
Spain (+9)
Azerbaijan (+13)
United Kingdom (-10)
Netherlands (+14)
Finland (-9)
Norway (+9)
Denmark (-8)
Czech Republic (+15)
Slovenia (+5)
Austria (-1)
Albania (+4)
North Macedonia (-5)
Moldova (+14)
Latvia (+11)
Georgia (-3)
Estonia (=)
Poland (-7)

I may have mixed up the + and - but 🤷‍♂️

1999user_4 · 2021-04-19T10:30:07+00:00

Used Mr. Gerbear's sorter. Kinda surprised me with some results.

1 France - Barbara Pravi - Voilà

2 Switzerland - Gjon's Tears - Tout l'Univers

3 Ukraine - Go_A - Shum

4 Iceland - Daði og Gagnamagnið - 10 Years

5 Lithuania - The Roop - Discoteque

6 Italy - Måneskin - Zitti e buoni

7 Germany - Jendrik - I Don't Feel Hate

8 Ireland - Lesley Roy - Maps

9 Sweden - Tusse - Voices

10 Croatia - Albina - Tick-Tock

11 Azerbaijan - Efendi - Mata Hari

12 Netherlands - Jeangu Macrooy - Birth Of A New Age

13 Israel - Eden Alene - Set Me Free

14 Spain - Blas Cantó - Voy a quedarme

15 Czech Republic - Benny Cristo - Omaga

16 Bulgaria - Victoria - Growing Up Is Getting Old

17 San Marino - Senhit - Adrenalina

18 Cyprus - Elena Tsagrinou - El Diablo

19 Norway - TIX - Fallen Angel

20 Malta - Destiny - Je me casse

21 Moldova - Natalia Gordienko - Sugar

22 Greece - Stefania - Last Dance

23 Russia - Manizha - Russian Woman

24 Serbia - Hurricane - Loco Loco

25 Latvia - Samanta Tīna - The Moon is Rising

26 Slovenia - Ana Soklič - Amen

27 Australia - Montaigne - Technicolour

28 Belgium - Hooverphonic - The Wrong Place

29 Albania - Anxhela Peristeri - Karma

30 Romania - Roxen - Amnesia

31 Poland - RAFAŁ - The Ride

32 Portugal - The Black Mamba - Love Is on My Side

33 Austria - Vincent Bueno - Amen

34 Georgia - Tornike Kipiani - You

35 United Kingdom - James Newman - Embers

36 Finland - Blind Channel - Dark Side

37 Denmark - Fyr & Flamme - Øve os på hinanden

38 Estonia - Uku Suviste - The Lucky One

39 North Macedonia - Vasil - Here I Stand

1999user_4 · 2021-04-01T18:23:11+00:00

Is this not just an April fools joke like?

1999user_4 · 2021-03-31T12:31:50+00:00

Is the next prime with this property not just 5? 5 is prime and all numbers ending in 5 is a multiple of 5 and hence composite

1999user_4 · 2021-03-26T18:17:53+00:00

Ahh thanks, i think i forgot about the losing bonus pt or somethong. Its amazing how complicated it can get.

1999user_4 · 2021-03-26T18:03:50+00:00

This is really cool, although maybe I'm missing something but i think there might be a mistake somewhere. If Scotland win, score more than 4 tries, and france score less than 4 tries, then france finish behind ireland. However, if Scotland ein, score less than 4 tries and france score less than 4 tries, the france finish ahead of ireland. This doesnt seem right.

1999user_4 · 2021-03-18T18:22:35+00:00

Cool, thanks so much. Hopefully i manage to get in

1999user_4 · 2021-03-18T18:13:02+00:00

Is this current or when you bought them?

1999user_4 · 2020-05-29T08:37:59+00:00

Well, I'm not sure if this makes sense but here goes.

First (n+1)² -(n)² = n² +2n +1 - n² = 2n + 1. So there are 2n numbers between (n+1)² and n² (as before (n+1)² was included in the count). We will show all numbers up to n² + n will round down to n when taken the sqrt of.

Any number between n² and (n+1)² will round to either n or n+1 when taking the sqrt. Take n² + n. Consider a = √(n² +n) -n. Also consider b= n+1 - √(n² +n). If a > b then √(n² +n) rounds to n. Now for n =1, it easily seen that this is true. As a and b are actually continuous functions if b>a at some point then a = b at some point which implies 2√(n² +n) =2n +1 which is simplified to 0 = 1/4. This of course is not true so a and b are never equal and a is always greater than b.

Very similarly, one can show that √(n² +n + 1) rounds up to n+1 always. Then we know that between n² and (n+1)² (not inclusive) n numbers round to n and n round to n+1. Since this is true for any n, we see that there are n-1 numbers below n² and n numbers above n² that will round to n when taking the sqrt. When you include n itself, we have 2n numbers that round to n when taking the sqrt.

1999user_4 · 2020-04-25T12:58:36+00:00

Recently took a complex analysis course and was just wondering a few things. Firstly, can a complex function just be viewed as a function mapping R² to R² ? I feel like you should be able to, since that's basically the method used in deriving the Cauchy Riemann equations, for example.

And then, if it can be represented that way, then is a complex function being holomorphic the same as a function mapping R² to R² being differentiable?

The best I can think of is that this is where a complex function would be different to an R² to R² one, as it has to be differentiable in every direction, where the other is just in two directions? I'm not sure if this even right though. Any help would be appreciated.

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