Galileo sequences are generalizations of a simple sequence of integers that Galileo used in early 17th century for describing his law of falling bodies. The curious property he noted happens to be exactly what is needed to quantify his observation that the acceleration of falling bodies is uniform.
Jan 13, 2017
Galileo sequences are generalizations of a simple sequence of integers that Galileo used in early 17th century for describing his law of falling bodies.
Galileo sequences are generalizations of a simple sequence of integers that Galileo used in early 17th century for describing his law of falling bodies.
Galileo sequences are generalizations of a simple sequence of integers that Galileo used in early 17th century for describing his law of falling bodies.
Linear difference equations and Galileo sequences are discussed in Section 4. Iterated Galileo sequences are given in Section 5. 2. Polynomial solutions of (1.2) ...
Galileo argues that a similar pattern will be observed if a ball rolls down a ramp which is smoothly connected to another steeper upward ramp, that is, the ball ...
The controlling fact is Galileo's assumption that these ratios are invariant under a change of the unit of time. It admits few laws and only one is compatible ...
Galileo simplified his task. He restricted his study of motion to positions and distances, times and intervals of time.
The first column gives the half seconds, the second column the sequence of odd numbers, the third column gives how many feet the ball falls in each time ...
Duration: 4:49
Posted: Apr 8, 2011
Posted: Apr 8, 2011
Missing: note iterated