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MATL, 22 16 bytes 2)2\?'._.'}'O_O' Try it online 22 byte version, 2)'ntpr'=a?'O_O'}'._.'.

MATL, 21 20 bytes 2#2$XSwiY*4#S)tn:tb( Takes input as a matrix for the table of rankings, then the tie breaking column as a number, then a column vector of weightings for each column. Attempted expla …

Matlab, 86 77 bytes Here's another way using Matlab: [I,J]=find(~im2bw(imread(input('','s'))));mode(mod(round(atan2d(J-51,I-51)),360)) This reads the file (stolen from flawr), and finds the indic …

MATL, 5 bytes iPYOd This is the same as StewieGriffin's answer, except I used flip then diff rather than diff then negating the result. Full explanation, with corresponding Matlab functions: i …

MATL, 3 bytes tq* You can try it online! Basically similar to the Seriously and Jelly answers. First, it duplicates the top of the stack (get's input first time when the stack is empty). Decrements …

MATL, 38 bytes '\n'32cZtttnGnw-wPZvPYbnqbnvvV!3Z"vX:! You can try it online! This shouldn't be so long though... Explanation, for the calculation, '\n'32cZt %// Takes implicit input and replaces …

Matlab, 35 bytes ezplot(input(''));axis([-5 5 -5 5]) Input is a string like 'y=2*x^2'.

Matlab, 154 bytes p=input();c=null([p.^2 prod(p,2) p 1+p(:,1)*0]),s={'circle' 'ellipse' 'parabola' 'hyperbola'};s{3+sign(c(3)^2-4*c(1)*c(2))-~max(abs(c(3)),abs(c(1)-c(2)))} Saved some bytes thanks …

MATL, 21 15 bytes 2/d1)6Mh8Mt0)h+ TryItOnline Halves the input vector, and takes successive differences, to give d=[i(2)-i(1) i(3)-i(2) ... i(end)-i(end-1)]/2 and then makes two modified vectors, …

MATL, 7 bytes t:Zd1=s You can TryItOnline. Simplest idea, make a vector 1 to N, and taken gcd of each element with N (Zd does gcd). Then, find which elements are equal to 1, and sum the vector to g …

MATL, 30 26 23 bytes Save some bytes by using mode with explicit output specification 6#XM. 2#YiwX:6#XMgY)tn3>?x'=' Previously (26 byte solution) 2#YiwX:S&Y'tX>=Y)tn3>?x'=' Doesn't work online, …

MATLAB, 42 If it is OK to take input as I=[5.7 3.2 8.9 8.1] then this statement fminunc(@(y)sum(hypot(I(:,1),I(:,2)-y)),0) returns 5.113014445748538. Shamelessly stealing Thomas Kwa's meth …

MATL, 5 bytes Three different versions of this one, all length 5. iYr1= which takes an input (i), generates a random integer between 1 and that number (Yr), and sees if it it is equal to 1 (1=). A …

MATL, 22 bytes it10+:Yst' '=~)wYsXf1) Take the input (i), make the vector 1 to input+10 (10+:), converts the vector to a string (Ys), and remove the spaces, which is painful, (t' '=~)). Then, conve …

MATL, 44 38 bytes This also uses MATL version 3.1.0, which is earlier than this challenge. New version, thanks to Luis Mendo for saving 4 bytes! iiXI*XJxO1e4XH:"JZ@I\TTo3X53$X+1=a+]H/ Old version …