f8c7e274-b26b-44a1-8a3b-df32fe29893c 121 Alvaro Diaz Falconi 4 5 false false 0 0 decimal
&[PAGENUM] / &[COUNT]

Evaluating a Formula like in a Texbook

 <content> <p>Evals</p> </content>

Sintaxis

Try to show eq at values with n decimals in the unit u as in a textbook.

For equations without units

Uses the decimals in the values, with a maximun of 6 (n=-1).

Assign to v the result of the equation.

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For specify units in values, use ~ as first character, instead '

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If the equation have constants with decimals, mask it with v2s

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The order of the values is the lexical order, given by Unknows(eq)

Example

Using maximun 6 decimals

 a c * b c cos * + 500․37 c 2 ^ + / ﹦ 194400․ 1․308997 * 44640․ 1․308997 cos * + 500․37 1․308997 2 ^ + / ﹦ 266022․696343 502․083473 / ﹦ 529․837588 1 7 mat

Example

Using 3 decimals for all numbers in values.

 a c * b c cos * + 500․370 c 2 ^ + / ﹦ 194400․000 1․309 * 44640․000 1․309 cos * + 500․370 1․309 2 ^ + / ﹦ 266023․150 502․083 / ﹦ 529․838 1 7 mat

Example

If the output is too long, it could be arranged into a table. Convertion factors use 6 dedimals.

 E Evals var2sf\0024\ Evals var2sf\0024\
S:{a*c+b*cos(c)}/{500․370+c^2}
S:﹦ S:{0․180*~in*75․000*~deg*~min^2+12․400*~ft*cos(75․000*~deg)*~s^2}/{~min^2*~s^2*(500․370+75․000^2*~deg^2)}
S:﹦ S:{0․180*0․0254*75․000*0․017453*60․^2+12․400*0․3048*cos(75․000*0․017453)}/{60․^2*(500․370+75․000^2*0․017453^2)} S:12960000․/0․3048 S:~ft/{~hr^2}
S:﹦ S:529․838*mat(~ft/{~hr^2},1,1)
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E 1 el 1 4 mat E 2 el E 3 el 1 4 mat E 4 el E 5 el E 6 el E 7 el 1 4 mat E 8 el E 9 el E 10 el 1 1 mat * 1 4 mat stack

Example

 2 m.1 * m.2 * g.e * m.1 m.2 + / ﹦ 2 17․30 * ~lb * 12․40 * 9․80 * ~m * 17․30 12․40 + ( ~s 2 ^ * / ﹦ 2 17․30 * 0․453592 * 12․40 * 9․80 * 17․30 12․40 + / 1 4․448222 / ~lbf ﹦ 14․44 ~lbf 1 10 mat E Evals var2sf\0024\ E Evals var2sf\0024\ E
S:{2*m.1*m.2*g.e}/{m.1+m.2} S:﹦ S:{2*17․30*~lb*12․40*9․80*~m}/{(17․30+12․40)*~s^2} S:﹦ S:{2*17․30*0․453592*12․40*9․80}/{17․30+12․40} S:1/4․448222 S:~lbf S:﹦ S:14․44 S:~lbf
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Example

For the 5 args version, first argument is the variable name to be assigned the result.

 v.2 E Evals var2sf\0024\ v.2 Evals var2sf\0024\ v.2
S: v.2≡{a*c+b*cos(c)}/{500․370+c^2} S:﹦ S:{194400․000*1․309+44640․000*cos(1․309)}/{500․370+1․309^2} S:﹦ S:266023․150/502․083 S:﹦ S:529․838
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v.2 a c * b c cos * + c 2 ^ 500.37 v2s + / 194400 44640 5 π * 12 / 1 3 mat 3 1 Evals

Symbolic

 529.838

Numerical

 lbf 14.45 T v.2 E Evals var2sf\0024\ T v.2 Evals var2sf\0024\ T v.2
S: T≡{2*m.1*m.2*g.e}/{m.1+m.2}
S:﹦ S:{2*17․30*~lb*12․40*9․81*~m}/{(17․30+12․40)*~s^2}
S:﹦ S:{2*17․30*0․453592*12․40*9․81}/{17․30+12․40} S:1/4․448222 S:~lbf
S:﹦ S:14․45*mat(~lbf,1,1)
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E 1 el 1 4 mat E 2 el E 3 el 1 4 mat E 4 el E 5 el E 6 el E 7 el 1 4 mat E 8 el E 9 el E 10 el 1 1 mat * 1 4 mat stack
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Example

Using uncertainties in the values: g.e is assuming exact, meanwhile the masses have errors.

 lbf 14.6 14.3 2 1 sys v.2 E Evals var2sf\0024\ T v.2 Evals var2sf\0024\ v.2
S: T≡ ({2*m.1*m.2*g.e}/{m.1+m.2})+±(abs({2*m.2^2*g.e}/{(m.1+m.2)^2})*Δm.1+abs({2*m.1^2*g.e}/{(m.1+m.2)^2})*Δm.2)
S:﹦ S: ({2*17․3*~lb*12․4*9․8*~m}/{(17․3+12․4)*~s^2})+±(~lb*(abs({2*12․4^2*9․8*~m}/{(17․3+12․4)^2*~s^2})*0․1+abs({2*17․3^2*9․8*~m}/{(17․3+12․4)^2*~s^2})*0․2))
S:﹦ S:{( ({2*17․3*0․453592*~kg*12․4*9․8*~m}/{(17․3+12․4)*~s^2})+±(0․453592*~kg*(abs({2*12․4^2*9․8*~m}/{~s^2*(17․3+12․4)^2})*0․1+abs({2*17․3^2*9․8*~m}/{~s^2*(17․3+12․4)^2})*0․2)))*~s^2}/{~kg*~m} S:1/4․448222 S:~lbf
S:﹦ mat(14․6*~lbf,14․3*~lbf,2,1)
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E 1 el 1 4 mat E 2 el E 3 el 1 4 mat E 4 el E 5 el E 6 el E 7 el 1 4 mat E 8 el E 9 el E 10 el 1 1 mat * 1 4 mat stack
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