Updated in 2026 : March : 28 : Mathematical Calculation ;

Updated on 28 : 3 : 2026 : Mathematical Calculation ;

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( relations, relations, relations), also see: Control Character; Display .robotic LCD; Internet Connection; Mathematical Calculations; Server;

( kankei Relations, RELATIONS, relations, Relations, relations), also see: Distance; k Usage; Mathematical Calculations; Mathematics; r Character;

Name Mathematical Calculations Remark
cos^-1 ((SQRT3) / 2) i.e. arc cosine (??) degree  ... for each pair of moon waves;

Sine x

 = (O p p / H y p)

doko WHERE 0 < x < π ;

(a^m)^n = a^mn Power M (Multiplex) Power N
a^mn = (a^m)^n
log a^m = m log a Power to a Log
log (a by b) Minus
log a by log b Base
log (Base c) a b Plus
log (Base a) a variable As Base
a log (Base a) b Distance to  b  (Walls)
a^(log (Base a) b) = b a trick like 92x = 9x Dot Product  9x
e.g. 10 (9 · 4) = 36 (10)
     

e.g. March 14, a.k.a. Pi Day (22/7 is 3.14, ((proportion, ratio, Radical102) of ( kyori Distance, kyori Distance, kyori Distance)) around the circle to the distance across it) ... ; Also see: Mathematics; Mathematical Calculations; p Character;

e.g. (Walls (a, b, c, x) Parameter (side-by-side Processor) : Teleportation ((SQRT2 (±98)) at Remote 100)) doko WHERE (, , ) ;

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( INV, INV, INV, INV), inverse function, a function THAT 's reversing another function;

e.g. ( DEG . cos) 's INV is cos^-1;
e.g. ( DEG . e) 's INV is ( R A D . e);
e.g. ( DEG . ln) 's INV is e^x;
e.g. ( DEG . log) 's INV is 10^x;
e.g. ( DEG . sin) 's INV is sin^-1;
e.g. ( DEG . tan) 's INV is tan^-1;
e.g. ( DEG . !) 's INV is ( R A D . !);
e.g. ( DEG . π) 's INV is ( R A D . π);
e.g. ( DEG . ^) 's INV is ( R A D . ^);
e.g. ( DEG . "(") 's INV is ( R A D . "(");
e.g. ( DEG . ")") 's INV is ( R A D . ")");
e.g. ( DEG . √) 's INV is x^2;

INV is INVERSE, i.e. math usage ... ; Also see: Mathematics;
INV is INVOICE, i.e. business usage ... ; Also see: Biz;

I wrote: I've created a picture i.e. INVERSE, and I've a quiz: regarding (our earth, our moon), if I'm on the moon, HOW would the "INVERSE" would be?

well trained kids! replied: very easy quiz; since (area, environment) has lots of (Silver), Blue and Green are reversing each other sir;

I wrote: yes. so desu nal ... ; don't forget THAT (Yellow) and (Red) are also reversing ... ;

( INV, INV, INV, INV), also see: 9iComputer; Mathematical Calculations; Physics Law 181;

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radian; Radian; RADIAN; e.g.

Remark: in Computer Science ( cosmos, space, universe), don't confuse between ( 15 degree by SQRT2 longitudes) and ((SQRT15)/2), and recommended formulary for Mathematical Calculations, e.g.

, i.e. (x - a)^2 + ( y - b)^2 = r^2 As Radius; Also see: radian;
, i.e. a^2 + 2ab + b^2 = (a + b)^2 As Pythagorean;
, i.e. Distance (d) = √((x1 - x2)^2 + (y1 - y2)^2) As Hypotenuse;

, i.e. (f (x, y) = ((x^2) + (y^2)) = 13 WHEN ((x = 3) and (y = 2))), a.k.a. f (x, y) = ((x^2) + (y^2)) Output 13 WHEN (( x=3) AND ( y=2)), a.k.a. FUNCTION OF ( X, Y) is equal to 'X SQUARE' plus 'Y SQUARE' ; Remark: doko WHERE 500.98+ would be: remote ((0.5), (1/2), (1:2)), a.k.a. Half Way (Method, Procedure, Technique) in Network Topology ... ; kuru kuru WHILE dealing with many ( derivative, derivative, derivative, derivative) derivatives e.g. multi-systems ( Time) should be 1st priority, e.g. nitotte For DOMAIN [-1, +1], Laplace Transform (Method, Procedure, Technique) should be calculated, deployed, implemented, measured, used, utilized, ... ; Also see: 3; 2; Mathematical Calculations; radian; since 1980s, multi-systems inventor Toshiba has been very very very genius ... ;

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Also see: method; operator;

2008 Fuzzy mathematical calculation, (also see: http://documents . wolf ram .com / applications / fuzzy logic / Manual /10 .html), so that addition, subtraction, multiplication, image, max function, min function, ... can be further studied in fuzzy approach ... ;

2007 ADC's distortion causes its sample rate becomes (sample rate / 2), and bandwidth signal [i.e. S N R 50dB at 12bit per 1G sample per second] prompts, and then processing gain can be calculated as:
processing gain = -10(log(bandwidth_signal/(sample rate/2))).
If jitter, for the given system, S N R to jitter calculated as:
S N R is approximately -20(log10((2π_cycle f frequency _input) (t jitter))) ;

2007 I P M motor's Torque: Depending on types of motor, calculation may vary; In I P M motor [e.g. air con compressor motor], when calculating magnet _torque and reluctance _torque, 2 * rotor angle in sine is used as:
torque T = P n ((Φ * ampere I * (cosine (β))) + (1/2(inductance L q - inductance Ld) * (square (ampere I)) ) * sine(2 * β)); AC input into rectifier, and then normal power supply P n can be measured. The given F O C is sensor-less. Velocity control can be further studied.  IFF 2 phase circuit, while current I is looping, flux can be estimated, because the circuit's back E M F are in cosine and sine as: volt V1 = (resistance R s * current I1) + (inductance Ls * (dI1 / d t vary I1 at time t)) + (d / d t at time t(-Ψ r * cosine (θ r))); V2 = (resistance R s * current I2) + (inductance Ls * (dI2/d t vary I2 at time t)) + (d / d t at time t(-Ψ r * sine (θ r))); WHERE rotor's flux angle in cosine and sine are as: Ψ r * cosine (θ r) = integration ∫ integral in distance as ∫((resistance R s * current I1) - V1) + (inductance Ls * I1); Ψ r * sine (θ r) = ∫((resistance R s * current I2) - V2) + (inductance Ls * I2);

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