 
									
								
									Amicable Numbers
									
... With the modified Alway's method, we found all primes for 1 ^ n S 1000. This was done to check the program and to provide independent data which is not readily accessible for this interval. The search was then extended to 2000 5= n ^ 4004; 172 primes and one prime factor for other composite numbers ...
                        	... With the modified Alway's method, we found all primes for 1 ^ n S 1000. This was done to check the program and to provide independent data which is not readily accessible for this interval. The search was then extended to 2000 5= n ^ 4004; 172 primes and one prime factor for other composite numbers ...
									Lecture3 - West Virginia University
									
... often been treated with suspicion. • The ancient Chinese calculated with colored rods, red for positive quantities and black for negative (just the opposite of our accounting practices today) . ...
                        	... often been treated with suspicion. • The ancient Chinese calculated with colored rods, red for positive quantities and black for negative (just the opposite of our accounting practices today) . ...
									LOGARITHMS,MATRICES and COMPLEX NUMBERS
									
... WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23. ...
                        	... WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23. ...
									4.2 Place-Value Systems
									
... “x to the zeroth power,” or 1. “x to the first,” or x “x squared,” or (x)  (x) “x cubed,” or (x)  (x)  (x) “x to the fourth,” or (x)  (x)  (x)  (x) “x to the fifth,” or (x)  (x)  (x)  (x)  (x) “10 to the zeroth power,” or 1. “10 to the first,” or 10 “10 squared,” or 10  10 = 100 “10 cubed ...
                        	... “x to the zeroth power,” or 1. “x to the first,” or x “x squared,” or (x)  (x) “x cubed,” or (x)  (x)  (x) “x to the fourth,” or (x)  (x)  (x)  (x) “x to the fifth,” or (x)  (x)  (x)  (x)  (x) “10 to the zeroth power,” or 1. “10 to the first,” or 10 “10 squared,” or 10  10 = 100 “10 cubed ...
									With sums and differences it is better to add positive numbers and
									
... Note: Suppose the fraction is irreducible. If denominator is factorized in prime factors and these prime factors are only numbers two and/or five, the outcome will be a whole number or a terminating decimal number. Note: Suppose the fraction is irreducible. If denominator is factorized in prime fact ...
                        	... Note: Suppose the fraction is irreducible. If denominator is factorized in prime factors and these prime factors are only numbers two and/or five, the outcome will be a whole number or a terminating decimal number. Note: Suppose the fraction is irreducible. If denominator is factorized in prime fact ...
									cat-funda-book… Click here to
									
... multiplied, after increasing them by 1. This is very important and one should definitely remember this. Back to the question: which least number has 8 distinct divisors? Surely, the multiplication of the powers of its prime factors increased by 1 has to be 8. ...
                        	... multiplied, after increasing them by 1. This is very important and one should definitely remember this. Back to the question: which least number has 8 distinct divisors? Surely, the multiplication of the powers of its prime factors increased by 1 has to be 8. ...
									ON REPRESENTATIONS OF NUMBERS BY SUMS OF TWO
									
... This proves Theorem 2. In passing we note that the second conclusion follows easily from the following independent argument. For each n € N and each divisor d (and codivisor dT) of 4n + 3, exactly one of the pair {d, df) is = 1 (mod 4) and exactly one is E 3 (mod 4). Hence, (-DW-D/2 + ^ i d ' - i m ...
                        	... This proves Theorem 2. In passing we note that the second conclusion follows easily from the following independent argument. For each n € N and each divisor d (and codivisor dT) of 4n + 3, exactly one of the pair {d, df) is = 1 (mod 4) and exactly one is E 3 (mod 4). Hence, (-DW-D/2 + ^ i d ' - i m ...
									d) Use the laws of indices e.g simplify 4a2 x 6a3 e) Rearrange
									
... a) Know & apply Pythagoras Theorem for finding missing sides in right angled triangles. (extension is Trigonometry) b) Use alternate, corresponding, supplementary & opposite angles in parallel lines. c) Find interior & exterior angles of polygons. E.g 5400 in a pentagon……. d) Find missing sides in s ...
                        	... a) Know & apply Pythagoras Theorem for finding missing sides in right angled triangles. (extension is Trigonometry) b) Use alternate, corresponding, supplementary & opposite angles in parallel lines. c) Find interior & exterior angles of polygons. E.g 5400 in a pentagon……. d) Find missing sides in s ...
 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									