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1000 (X) Mathematical Analysis (X)

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 Book Id: WPLBN0002097099 ► Abstract Full Text Search Details... NOIDA , INDIA. */ FILE* f; unsigned long np = 0; unsigned long try_arr[1000]; unsigned long n = 0; unsigned long num_div = 0; unsigned long div... ...; unsigned long n = 0; unsigned long num_div = 0; unsigned long div_arr[10000]; unsigned long max_length = 0; unsigned long width_arr[1000]; uns... ...ze.. n = 0; np = 0; num_div = 0; unsigned long i; for(i = 0; i < 1000; i++) width_arr[i] = 0; // take input.. printf("Enter number..:\... ...= 3, we get the Smarandache additive cubic sequence. 1, 8, 125, 512, 1000, 1331, … 3) Smarandache (m th ) Power Additive n th power Sequence: ... ...r Additive n th power Sequence: When m=2 and n=3 we get 1, 27, 216, 1000, . . ., 798005999, . . . 10973607685048, . . . A large number of o... ...ache Patterned Perfect Cube Sequences Consider the sequences 10011, 100011, 1000011, 1000011, . . . where t n = 1 followed by... ...e formed by the cubes of the numbers in this sequence is 1003303631331, 1000330036301331, 1000033000363001331, 100000... ...c sequence. The first few numbers in this sequence are 1, 8, 125, 512, 1000, 1331, 8000, 19683, 35937, . . . Theorem: The cube of the number ... ...sequences, where the second is the squares of the first. 11, 101, 1001, 10001, 100001, . . . 121, 10201, 1002001, 100020001, . . . The...
 Book Id: WPLBN0002097083 Subjects: Non Fiction, Education, Mathematics ► Abstract Full Text Search Details... Lupton USA 2000 Wrongness of n vs n 0 100 200 300 400 500 600 700 800 900 1000 0 200 400 600 800 1000 n W(n) 2 To two stars: my doughters Gilda... ...iour is highly erratic. Fig. 1.1 Pseudo-Smarandache-Totient-Function 0 500 1000 1500 2000 2500 3000 3500 4000 1 88 175 262 349 436 523 610 697 784 871... ...ndache-Totient-Function 0 10 20 30 40 50 60 70 80 90 100 0 200 400 600 800 1000 n Zt(n) 7 A table of the Zt(n) values for 60 n 1 £ £ follows: n Zt(... ...Zt(n+k) are all increasing (decreasing respectively) values. For the first 1000 values of Zt(n) the largest found sequences have k=5 and k=4 respect... ...hat upper limit. Problem 2. Find the solution of Zt(n)=n For the first 1000 terms only for n=1, 2 and 5 the equation is satisfied. Are the solutio... ...n m Zt n Zt n L ˛ - - = , ) ( ) ( Hint: the experimental data on the first 1000 values of Zt(n) show a linear grows for the average value of n d . S... ...(n)|Zt(n+1) 2) Zt(n+1)|Zt(n) 12 Examining the first 1000 values of Zt(n), the following solutions to 1) have been found: Zt(1)... ...ber of those solutions limited or unlimited? Solutions to 2) for the first 1000 values of Zt(n): Zt(34)|Zt(33), Zt(46)|Zt(45), Zt(75)|Zt(74), Zt(86)|Z... ... n=11, 21, 22, 23, 28, 29, 32, 35, 42, 43, 46, 49, 51....... For 10000 1 £ £ n the equation ) ( ) ( n n Zt j = admits the following 9 solut...