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Display information for equation id:math.17023.8 on revision:17023

* Page found: Ballistic limit (eq math.17023.8)

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Hash: 4ff681491bdac9d1b6d6be7858d1247d

TeX (original user input):

V_1= 19.72 \left [ \frac{7800 d^3 \left [ \left ( \frac{e_h}{d} \right) \sec \theta \right ]^{1.6}}{W_T} \right ]^{0.5}

TeX (checked):

V_{1}=19.72\left[{\frac {7800d^{3}\left[\left({\frac {e_{h}}{d}}\right)\sec \theta \right]^{1.6}}{W_{T}}}\right]^{0.5}

LaTeXML (experimental; uses MathML) rendering

MathML (8.633 KB / 1.377 KB) :

V 1 = 19.72 [ 7800 d 3 [ ( e h d ) sec θ ] 1.6 W T ] 0.5 subscript 𝑉 1 19.72 superscript delimited-[] 7800 superscript 𝑑 3 superscript delimited-[] subscript 𝑒 𝑑 𝜃 1.6 subscript 𝑊 𝑇 0.5 {\displaystyle V_{1}=19.72\left[{\frac{7800d^{3}\left[\left({\frac{e_{h}}{d}}% \right)\sec\theta\right]^{{1.6}}}{W_{T}}}\right]^{{0.5}}}
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SVG (19.163 KB / 6.995 KB) :

upper V 1 equals 19.72 times left-bracket StartFraction 7800 times d cubed times left-bracket left-parenthesis StartFraction e Subscript h Baseline Over d EndFraction right-parenthesis times secant theta right-bracket Superscript 1.6 Baseline Over upper W Subscript upper T Baseline EndFraction right-bracket Superscript 0.5

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: V[1]= 19.72[(7800*(d)^(3)[((e[h])/(d))*sec(theta)]^(1.6))/(W[T])]^(0.5)

Information about the conversion process:

\sec: Secant; Example: \sec@@{z}

Will be translated to: sec($0)

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E6

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sec


e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e

exp(1): You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Maple uses exp(1) for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe



Translation to Mathematica

In Mathematica: Subscript[V, 1]= 19.72[Divide[7800*(d)^(3)[(Divide[Subscript[e, h],d])*Sec[\[Theta]]]^(1.6),Subscript[W, T]]]^(0.5)

Information about the conversion process:

\sec: Secant; Example: \sec@@{z}

Will be translated to: Sec[$0]

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E6

Mathematica: https://reference.wolfram.com/language/ref/Sec.html


E: You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Mathematica uses E for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe


e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e


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