03759462-c5ab-489f-80b9-52c173a0ee95 19 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

MapleV Learning Guide, tutorial

x A4 x cos x 0 ≡ taylor maple : 1 x 2^2 / - x 4^24 / +

missing O(x^6)

expr x 2^x sin * x Int :

x A6 expr value maple : x 2^x cos * - 2 x cos * + 2 x * x sin * +

x A6 x cos 2 x 2^- (* 2 x * x sin * +

x A7 x π 3 / ≡ x A6 subs maple : π 3 / cos 2 π 2^9 / - (* 2 π * π 3 / sin * 3 / +

x A8 x A7 simplify maple : 3 sqrt 18 - π 2^+ (* 18 π * - (3 sqrt * 54 / -

π 2^- 18 / 1 + 13 / π * 3 sqrt * +

x B8 x A8 expand maple : 18 π 2^- (3 sqrt * 18 π * + 183 sqrt * /

Trying to get:

x C8 x 2^x sin * x Int value maple : x 2^x cos * - 2 x cos * + 2 x * x sin * +

x D8 x 2^x sin * x π 4 / π 3 / int maple : π 2^π 3 / cos * 9 / - 2 π 3 / cos * + 2 π * π 3 / sin * 3 / + π 2^π 4 / cos * 16 / + 2 π 4 / cos * - π π 4 / sin * 2 / -

π 3 / cos 0.5

π 3 / sin 0.866

π 4 / cos 0.7071

x E8 x D8 simplify maple : 82 sqrt 3 sqrt 18 - π 2^+ (* 18 π * - (* 93 sqrt * 4 π + (* + (* 9 π 2^* 3 sqrt * - (2 sqrt * 3 sqrt * 864 / -

Trying to get:

118 / π 2^* - 1 + 13 / π * 3 sqrt * + 132 / π 2^* 2 sqrt * + 2 sqrt - 14 / π * 2 sqrt * -

x a A9 x 2^x a - sin * x Int value maple : x - a + cos 2 - x - a + (2^+ a 2^+ (* - 2 x - a + (x - a + sin * a x - a + (x - a + cos * - x - a + sin + (* - (* +

Please note, solution in book has: (x-a) not (-x-a)...

x a A9 x π - π range : a 01 range : plot3D maple

Plot runs, but no graph...

A25 2313 / + (* 53 / 45 / - / maple : 10013 /

A26 100! maple : 93326215443944200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

100! 93326215443944100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Smath Function

B26 A26 length maple : 158

C26 60 ifactor maple : 22^3 * 5 *

A27 12345 igcd maple : 3

B27 253 iquo maple : 8

C27 18002676583 isprime maple : true

A28 π 100 evalf maple : 3.14159265358979

Maple happy to evaluate to 100 decimal places, Smath displays 15 maximum

x A31 25 i * + ((1 i - (+ maple : 34 i * +

x B31 247 binary convert maple : 11110111

x C31 1023 hex convert maple : 3FF

x D31 17 base 3 convert maple : Stack empty.

Maple shows [2,2,1]

x E31 274 mod maple : Stack empty.

this one doesnt work.

Smath

274 mod 3

this one doesnt work.

x A33 11 BesselY maple : #

this one doesnt work.

11 BesselY 0.7812 -

z B33 1 (1 (z MeijerG maple : Stack empty.

x A34 x sin x 0 ≡ 10 series maple : x x 3^6 / - x 5^120 / + x 7^5040 / - x 9^362880 / +

numbers 0 π 3 / π 2 / 13 mat : 0 1.0472 1.5708 13 mat

x A39 g numbers map maple : 0 g 884279719003555844424930131968 / g 884279719003555562949953421312 / g 13 mat

884279719003555844424930131968 / 1.0472

884279719003555562949953421312 / 1.5708

map function works, answer is a clumsy fraction but result is still correct...

x A40 exp x^exp 2 y *^* combine maple : exp x 2 y * +^

x B40 x A40 nops maple : 2

x A54 x 2^4 ≡ x solve maple : 22 - 21 mat

a x b c B54 a x 2^* b x * + c + 0 ≡ x solve maple : b - b 2^4 a * c * - sqrt + 2 a * / b b 2^4 a * c * - sqrt + 2 a * / - 21 mat

x y A55 x 2 y * + 3 ≡ y 1 x / + 1 ≡ x y 12 mat solve maple : Stack empty.

dont know how to get {x,y}

x y A67 3 x * 4 y * - 1 ≡ 7 x * y + 2 ≡ msolve 17 maple : 3 x * 4 y * - 1 ≡ y 7 x * + 2 ≡ msolve 17 maple

this one doesnt work.

n B67 n f n 1 - f n 2 - f + ≡ 0 f 1 ≡ 1 f 1 ≡ rsolve n f maple : n f n 1 - f n 2 - f + ≡ 0 f 1 ≡ 1 f 1 ≡ rsolve n f maple

this one doesnt work.

x sort_poly x x 2^+ x 3^- 1 + x 4^- : 1 x 1 x 1 x - (* + x 3^- (* +

x A68 x sort_poly sort expand maple : x 4^- x 3^- x 2^+ x + 1 +

Had to add expand function, then got exactly same result as in book.

x y mul_var_poly y 3^x 2^y 2^* + x 3^+ :

x y A69 x y mul_var_poly sort expand maple : x 2^x y 2^+ (* y 3^+

x y A70 x y mul_var_poly x 2^coeff (maple : y 2^

x y B70 x y mul_var_poly degree (maple : 4

x y A71 x y mul_var_poly factor maple : y 2^y x 2^+ (* x 3^+

x poly1 x 6^x 5^- 9 x 4^* - x 3^+ 20 x 2^* + 12 x * + :

x B71 x poly1 factor maple : x 2 - x + (* 3 - x + (* 2 x + (* 1 x + (2^*

x poly2 x 3 + :

x C71 x poly2 6^expand maple : 7291458 x * + 1215 x 2^* + 540 x 3^* + 135 x 4^* + 18 x 5^* + x 6^+

x D71 x C71 factor maple : 3 x + (6^

page 90

linalg with maple

v1 11 - 0114 mat vector maple :

v2 52 - 31 - 14 mat vector maple :

v3 63 - 3014 mat vector maple :

this one doesnt work.

vector_space v1 v2 v3 stack maple :

x A142 2 x * (sin expand maple : 2 x sin * x cos *

x y z A143 x 1 + (y z + (* expand maple : y z + x y * + x z * +

x y z B143 x 1 + (y z + (* x 1 + expand maple : 1 x + (y z + (*

x y z C x 1 + (y 2^2 y * - 1 + (z y 1 - (/ / * expand maple : 1 x 13 y * 1 - y + (* + (* + y 31 - y + (* y 2^- (* + x y 3^* - z / -

x D143 x abs 2^1 x abs + / ln maple : 2 x abs ln * 1 x abs + ln -

x A149 x 1 x / + normal maple : 1 x 2^+ x /

x A150 x x 1 + / 1 x / + 1 x 1 + / + maple : 1 x 1 x + (* + x + 1 x + (x * /

x B150 x x 1 + / 1 x / + 1 x 1 + / + normal maple : 1 x + x /

x C150 x 1 x / - x 2 - / (maple : x 2^1 - x 2 - x + (* /

x D150 x 1 x / - x 2 - / normal maple : 1 - x 2^+ x 2 - x + (* /

x y z A153 x y * z * x y * + x z * + y z * + (x z * 1 ≡ simplify maple : Stack empty.

Answer is meant to be: y+1+xy+yz

wave # :

having trouble writing a partial differential equation which maple is supposed to be able to solve. Need to write \[REGION[6c3e45a6e0474ecdbcd3916c09a2f4e4]]\

#

something like diff(u(x,t))

x t A240 # diff maple :

That is as far as i have got. Once i know some of the missing bits above, then i can explore them in a future revision of this doc.