... finite differences, and was the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power series with confidence and to revert power series with confidence and to revert power series. Newton's work on ... ...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... (Chposky, 1988). Aiken's machine, called the Harvard Mark I, handled 23-digit numbers and could perform all four arithmetic operations (Dolotta, 1985). Also, it had special built-in programs to handled logarithms and trigonometric functions. The Mark I was controlled from prepunched paper tape. Output was by card punch and electric typewriter. It was slow, requiring 3 to 5 seconds for a multiplication, but it was ... ...

• Word Count: 2566
• Approx Pages: 10
• Grade Level: Undergraduate

... (Chposky, 1988). Aiken's machine, called the Harvard Mark I, handled 23-digit numbers and could perform all four arithmetic operations (Dolotta, 1985). Also, it had special built-in programs to handled logarithms and trigonometric functions. The Mark I was controlled from prepunched paper tape. Output was by card punch and electric typewriter. It was slow, requiring 3 to 5 seconds for a multiplication, but it was ... ...

• Word Count: 2566
• Approx Pages: 10
• Grade Level: Undergraduate

... (Chposky, 1988). Aiken's machine, called the Harvard Mark I, handled 23-digit numbers and could perform all four arithmetic operations (Dolotta, 1985). Also, it had special built-in programs to handled logarithms and trigonometric functions. The Mark I was controlled from prepunched paper tape. Output was by card punch and electric typewriter. It was slow, requiring 3 to 5 seconds for a multiplication, but it was ... ...

• Word Count: 2571
• Approx Pages: 10
• Grade Level: Undergraduate

... (Chposky, 1988). Aiken's machine, called the Harvard Mark I, handled 23-digit numbers and could perform all four arithmetic operations (Dolotta, 1985). Also, it had special built-in programs to handled logarithms and trigonometric functions. The Mark I was controlled from prepunched paper tape. Output was by card punch and electric typewriter. It was slow, requiring 3 to 5 seconds for a multiplication, but it was ... ...

• Word Count: 2566
• Approx Pages: 10
• Grade Level: Undergraduate

... traveling into a barrier with the potential U and thickness L, then the number of electrons that will penetrate the barrier is nT where (here e is the base of the natural system of logarithms, having a numerical value of approximately 2.7183), where . This means that some of the electrons disappear for a short period of time and reappear on the other side of the barrier. If ... ...

• Word Count: 3720
• Approx Pages: 15
• Grade Level: High School

... (Chposky, 1988). Aiken's machine, called the Harvard Mark I, handled 23-digit numbers and could perform all four arithmetic operations (Dolotta, 1985). Also, it had special built-in programs to handled logarithms and trigonometric functions. The Mark I was controlled from prepunched paper tape. Output was by card punch and electric typewriter. It was slow, requiring 3 to 5 seconds for a multiplication, but it was ... ...

• Word Count: 2510
• Approx Pages: 10
• Grade Level: Undergraduate

... dependent variable and each independent variable. If the relationships prove to be curvilinear, it may be possible to transform the independent variable data to a linear form through the use of logarithms, or possibly by squaring the value. If transformation to a linear relationship is not possible, the independent variable should be dropped from the model. 9. After ensuring the linearity of all the ... ...

• Word Count: 4634
• Approx Pages: 19
• Grade Level: High School