Guys applying Hadamard transform on N qubits gives us an equal superposition of all states which has major applications in all quantum algorithms 
But
Quantum Fourier transform is said to be similar to Hadamard gate, applying QFT to a set of qubits gives us a new set of amplitudes for each state, which is a linear combination original amplitudes multiplied by e^[(2*piij)/N]
How is this transformation similar to Hadamard's?
What is the use/purpose of linearly combining the state amplitudes?
How can this be used? Could you give me an example, please?
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