*harmonics[0]=0.0;
for(int i=1;i<numharmonics;i++){
*harmonics[i]=1.0/sqrt(i);
}
harmonics[0] = 0.0;
for(var i = 1; i < numharmonics; i++){
  harmonics[i] = 1.0 / Math.sqrt(i);
}
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 *harmonics[0]=0.0;
for(int i=1;i<numharmonics;i++){
*harmonics[i]=1.0/sqrt(i);
}
harmonics[0] = 0.0;
for(var i = 1; i < numharmonics; i++){
  harmonics[i] = 1.0 / Math.sqrt(i);
}