x = Σx n
x2 – nx2
sx =
n – 1
Σy y = n
Σy2 – ny2
sy =
n – 1
σx = | Σx2 | – nx2 |
| n | |
|
|
Σx = x1 + x2 + ··· + xn
Σx2 = x12 + x22 + ··· + xn2
σy = | Σy2 | – ny2 |
| n | |
|
|
Σxy = x1y1 + x2y2 + ··· + xnyn Σy = y1 + y2 + ··· + yn
Σy2 = y12 + y22 + ··· + yn2
m(CPLX)
m3
(11+4i) = | (11 +4 Ü)=[x] 8. | |
| @≠[y] | + 5. i |
| @≠[x] | 8. |
|
| |
6 *(7 | ||
(5 ±+8 Ü)=[x] 222. | ||
| @≠[y] | + 606. i |
16⋅(sin30°+ | 16 *(s30 + |
|
icos30°)÷(sin60°+ | Üu30 )/(s60 + | |
icos60°)= | Üu60 )=[x] | 13.85640646 |
| @≠[y] | + 8. i |
y |
|
| @{8 Ö70 +12 | Ö25 |
A |
|
| ||
|
| =[r] | 18.5408873 | |
r1 | r |
| ||
| @≠[θ] | ∠ 42.76427608 | ||
| θ | B | ||
θ1 | θ2 | r2 |
|
|
|
| x |
| |
|
|
|
|
r1 = 8, θ1 = 70° r2 = 12, θ2 = 25°
↓
r = ?, θ = ?°
• • • •
nPr | 0 ≤ r ≤ n ≤ 9999999999* |
| ||||||
n! |
| 100 |
|
|
| |||
|
|
|
|
| ||||
|
|
|
|
|
| |||
| 0 ≤ r ≤ n ≤ 9999999999* |
| ||||||
nCr | 0 ≤ r ≤ 69 |
|
|
|
| |||
n! |
|
|
|
|
| |||
|
| 100 |
|
|
| |||
|
|
|
|
| ||||
|
|
|
|
|
| |||
↔DEG, D°M’S | 0°0’0.00001” ≤ x < 10000° | |||||||
x, y → r, θ |
|
|
|
|
| |||
| x2 + y2 < 10100 |
|
| |||||
| 0 ≤ r < 10100 |
|
|
| ||||
| DEG: | θ < 1010 |
|
| ||||
r, θ → x, y | RAD: | θ | π | ⋅ 1010 | ||||
< | ||||||||
|
|
|
|
|
| 180 |
|
|
| GRAD : θ | 10 | 10 |
| ||||
| < — ⋅ 10 |
| ||||||
|
|
|
|
|
| 9 |
|
|
DRG | DEG→RAD, GRAD→DEG: x < 10100 | |||||||
|
|
|
|
|
| π | 98 | |
| RAD→GRAD: x < — | ⋅ 10 | ||||||
|
|
|
|
|
|
| 2 |
|
(A+Bi)+(C+Di) | A + C < 10100, B + D < 10100 | |||||||
A – C < 10100, B – D < 10100 | ||||||||
(A+Bi)⋅(C+Di) | (AC – BD) < 10100 |
|
| |||||
(AD + BC) < 10100 |
|
| ||||||
|
|
| ||||||
| AC + BD |
|
| 100 |
|
| ||
| C2 + D2 | < 10 |
|
|
x – x | Standardization conversion formula | |||||||||||
t = | ||||||||||||
σx | Standard Umrechnungsformel |
|
| |||||||||
|
|
|
|
| ||||||||
|
|
| Formule de conversion de standardisation | |||||||||
|
|
| Fórmula de conversión de estandarización | |||||||||
|
|
| Fórmula de conversão padronizada | |||||||||
|
|
| Formula di conversione della standardizzazione | |||||||||
|
|
| Standaardisering omzettingsformule | |||||||||
|
|
| Standard átváltási képlet |
|
| |||||||
|
|
| Vzorec pro přepočet rozdělení |
|
| |||||||
|
|
| Omvandlingsformel för standardisering | |||||||||
|
|
| Normituksen konversiokaava |
|
| |||||||
|
|
| îÓÏÛ· Òڇ̉‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËfl | |||||||||
|
|
| Omregningsformel for standardisering | |||||||||
|
|
| Rumus penukaran pemiawaian |
|
| |||||||
|
|
| Rumus konversi standarisasi |
|
| |||||||
|
|
| ||||||||||
|
|
| a1x + b1y = c1 |
|
| D |
| = |
| a1 b1 |
| |
|
|
|
|
|
|
|
| |||||
|
|
| a2x + b2y = c2 |
|
|
|
| a2 | b2 |
| ||
|
|
|
|
|
|
|
|
|
| |||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2x + 3y = 4 | m20 |
|
| |||||||||
2 ®3 ®4 ® |
|
| ||||||||||
|
|
|
|
|
|
|
|
|
|
| ||
5x + 6y = 7 | 5 ®6 ®7 |
|
|
|
|
|
| |||||
x = ? |
| ®[x] |
| |||||||||
y = ? |
| ®[y] | 2. | |||||||||
det(D) = ? | ®[det(D)] |
| ||||||||||
|
|
|
|
|
|
|
|
|
|
|
|
|
m(3-VLE)
|
| a1x + b1y + c1z = d1 |
|
|
| a1 b1 c1 |
|
|
|
|
|
|
| ||
|
| a2x + b2y + c2z = d2 |
| D | = | a2 b2 c2 |
|
|
| a3x + b3y + c3z = d3 |
|
|
| a3 b3 c3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
m21
x + y – z = 9 1 ®1 ®1 ±®9 ®
6x + 6y – z = 17 6 ®6 ®1 ±®17 ® 14x – 7y + 2z = 42 14 ®7 ±®2 ®42
x = ? | ®[x] | 3.238095238 |
y = ? | ®[y] | |
z = ? | ®[z] | |
det(D) = ? | ®[det(D)] | 105. |
|
|
|
m(QUAD, CUBIC)
| m22 |
|
3x2 + 4x – 95 = 0 3 ®4 ®±95 |
| |
x1 = ? | ® | 5. |
x2 = ? | ® | |
| @® | 5. |
|
|
|
| m23 |
|
5x3 + 4x2 + 3x + 7 = 0 5 ®4 ®3 ®7 |
| |
x1 = ? | ® | |
x2 = ? | ® | 0.216800153 |
| @≠ | + 1.043018296 i |
x3 = ? | ® | 0.216800153 |
| @≠ | – 1.043018296 i |
(1 + i) | @}1 +Ü= | 1. | ||
↓ | @{[r] | 1.414213562 | ||
r = ?, θ = ?° | @≠[θ] |
| ∠ 45. | |
| @}(2 |
| ||
(2 – 3i)2 = | =[x] |
|
| |
| @≠[y] |
| – 12. i | |
1 | (1 +Ü)@•=[x] 0.5 | |||
@≠[y] |
| – 0.5 i | ||
1 + i |
| |||
CONJ(5+2i) | ∑0(5 +2 Ü)=[x] 5. | |||
| @≠[y] |
| – 2. i | |
|
|
|
| |
Function |
| Dynamic range |
| |
Funktion |
| zulässiger Bereich |
| |
Fonction |
| Plage dynamique |
| |
Función |
| Rango dinámico |
| |
Função |
| Gama dinâmica |
| |
Funzioni |
| Campi dinamici |
| |
Functie |
| Rekencapaciteit |
| |
Függvény | Megengedett számítási tartomány |
| ||
Funkce |
| Dynamický rozsah |
| |
Funktion |
| Definitionsområde |
| |
Funktio |
| Dynaaminen ala |
| |
îÛÌ͈Ëfl |
| ÑË̇Ï˘ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ |
| |
Funktion |
| Dynamikområde |
| |
Fungsi |
| Julat dinamik |
| |
Fungsi |
| Kisaran dinamis |
| |
| DEG: | x < 1010 |
|
|
|
| (tan x : x ≠ 90 |
| |
sin x, cos x, | RAD: | π | ⋅ 1010 |
|
x < |
| |||
tan x |
| 180 | π |
|
| (tan x : x ≠ — |
| ||
|
| 10 | 2 |
|
|
| 10 |
| |
| GRAD: x < | ⋅ 10 |
| |
|
| 9 |
|
|
|
| (tan x : x ≠ 100 |
| |
x ≤ 1 |
|
|
| |
x < 10100 |
|
| ||
In x, log x |
|
|
•y > 0:
•y = 0: 0 < x < 10100
yx | • | y < 0: x = n | 1 |
|
| (0 < l x l < 1: — = | |
|
|
| x |
|
| < x log y < 100 | |
| • | 100 | 1 |
| y > 0: | < — log y < 100 (x ≠ 0) | |
|
|
| x |
•y = 0: 0 < x < 10100
x¿y | • y < 0: x = | 1 | |
| (0 < x < 1 : — = n, x ≠ 0)*, | ||
|
| x | |
| 100 | 1 | |
| |||
|
| x | |
ex | |||
10x |
| ||
sinh x, cosh x, | x ≤ 230.2585092 | ||
tanh x | |||
|
| ||
x < 1050 |
| ||
1 ≤ x < 1050 |
| ||
x < 1 |
| ||
x2 | x < 1050 |
| |
x3 | x < 2.15443469 ⋅ 1033 | ||
¿x | 0 ≤ x < 10100 |
| |
x < 10100 (x ≠ 0) |
| ||
n! | 0 ≤ n ≤ 69* |
|
(A+Bi)÷(C+Di) | BC – AD |
| 100 | ||
| C2 + D2 < 10 |
| |||
| C2 + D2 ≠ 0 |
| |||
→DEC | DEC | : x ≤ 9999999999 | |||
→BIN | BIN | : 1000000000 ≤ x ≤ 1111111111 | |||
→PEN |
| 0 | ≤ x ≤ 111111111 | ||
→OCT | PEN | : 2222222223 ≤ x ≤ 4444444444 | |||
→HEX |
| 0 | ≤ x ≤ 2222222222 | ||
AND | OCT | : 4000000000 ≤ x ≤ 7777777777 | |||
OR |
| 0 | ≤ x ≤ 3777777777 | ||
XOR | HEX | : FDABF41C01 ≤ x ≤ FFFFFFFFFF | |||
XNOR |
| 0 | ≤ x ≤ 2540BE3FF | ||
| BIN | : 1000000000 ≤ x ≤ 1111111111 | |||
|
| 0 | ≤ x ≤ 111111111 | ||
| PEN | : 2222222223 ≤ x ≤ 4444444444 | |||
NOT |
| 0 | ≤ x ≤ 2222222221 | ||
OCT | : 4000000000 ≤ x ≤ 7777777777 | ||||
| |||||
|
| 0 | ≤ x ≤ 3777777777 | ||
| HEX | : FDABF41C01 ≤ x ≤ FFFFFFFFFF | |||
|
| 0 | ≤ x ≤ 2540BE3FE | ||
| BIN | : 1000000001 ≤ x ≤ 1111111111 | |||
|
| 0 | ≤ x ≤ 111111111 | ||
| PEN | : 2222222223 ≤ x ≤ 4444444444 | |||
NEG |
| 0 | ≤ x ≤ 2222222222 | ||
OCT | : 4000000001 ≤ x ≤ 7777777777 | ||||
| |||||
|
| 0 | ≤ x ≤ 3777777777 | ||
| HEX | : FDABF41C01 ≤ x ≤ FFFFFFFFFF | |||
|
| 0 | ≤ x ≤ 2540BE3FF |
*n, r: integer / ganze Zahlen / entier / entero / inteiro / intero / geheel getal / egész számok / celé číslo / heltal /
kokonaisluku / ˆÂÎ˚ / heltal / / / / integer / bilangan bulat
• • • •