Editing 2492: Commonly Mispronounced Equations
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|{{w|Wave equation}} (1D) | |{{w|Wave equation}} (1D) | ||
− | |∂²u/ | + | |∂²u/∂t² = c(∂²u/∂x²) |
|''DOOT'' cah-''DOOX'' | |''DOOT'' cah-''DOOX'' | ||
− | |A mistake for the correct equation ∂²u/ | + | |A mistake for the correct equation ∂²u/∂t² = c²(∂²u/∂x²). In the notation marking the second partial derivatives, each ⟨∂²⟩ is pronounced /d/ and each fraction bar and ⟨∂⟩ is silent. Each ⟨u⟩, amplitude, is pronounced /u/. ⟨t⟩, time, is pronounced /t/. ⟨c⟩, speed, is pronounced like the hard C /k/. ⟨x⟩, the distance along the measured dimension, is pronounced /ks/. The exponents are all silent. |
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|{{w|Derivative#Definition|Derivative}} | |{{w|Derivative#Definition|Derivative}} | ||
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|{{w|Quadratic formula}} | |{{w|Quadratic formula}} | ||
− | |x = (−b±√(b²−4ac))/ | + | |x = (−b±√(b²−4ac))/2a |
|za-''BO''-ba fak-''TOH''-ah | |za-''BO''-ba fak-''TOH''-ah | ||
|⟨x⟩, the independent variable, is pronounced /z/ similar to the initial X in the names {{wiktionary|Xerxes}} and {{wiktionary|Xavier}}. The negative sign is omitted. Each ⟨a⟩, ⟨b⟩, and ⟨c⟩, the coefficients of the equation, is pronounced /ɑ/, /b/, and /k/ respectively. The ⟨4⟩ is read as /f/ and the ⟨2⟩ as /t/, with an /oʊ/ added to keep the resulting word closer to "sohcahtoa". | |⟨x⟩, the independent variable, is pronounced /z/ similar to the initial X in the names {{wiktionary|Xerxes}} and {{wiktionary|Xavier}}. The negative sign is omitted. Each ⟨a⟩, ⟨b⟩, and ⟨c⟩, the coefficients of the equation, is pronounced /ɑ/, /b/, and /k/ respectively. The ⟨4⟩ is read as /f/ and the ⟨2⟩ as /t/, with an /oʊ/ added to keep the resulting word closer to "sohcahtoa". | ||
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|{{w|Schrödinger equation}} (3D) | |{{w|Schrödinger equation}} (3D) | ||
− | |Eψ = (−ℏ²/ | + | |Eψ = (−ℏ²/2m)∇²ψ + (q²/r)ψ |
|"Epsihootamoo doopsiquorps" | |"Epsihootamoo doopsiquorps" | ||
|An application of the general equation Eψ = Ĥψ when applied to 3 dimensions without regard to time or relativistic effects. The missing 4πε₀ from the divisor in the second (potential energy) term can be handwaved by assuming that the other terms are using units customized for quantum mechanics, rather than standard metric ones. ⟨E⟩, energy, is pronounced /ɛ/. ⟨ψ⟩, the {{w|wave function}}, is read out in full as /psi/, /psaɪ/, or /psə/ the first 2 times and then the last time as /ps/, the sound represented by psi in the Greek alphabet. The negative sign is omitted. ⟨ℏ⟩, {{w|Planck's constant}}, is pronounced /h/. ⟨2⟩ is read as /t/. ⟨m⟩, mass, is pronounced /m/. ⟨{{w|nabla symbol|∇}}⟩, the {{w|Laplace operator}}, is pronounced /d/ after the sound represented by delta in the Greek alphabet. ⟨q⟩ and ⟨r⟩, the charge and distance, are pronounced /kw/ and /ɹ/ following their standard use in English words. The exponents are silent. | |An application of the general equation Eψ = Ĥψ when applied to 3 dimensions without regard to time or relativistic effects. The missing 4πε₀ from the divisor in the second (potential energy) term can be handwaved by assuming that the other terms are using units customized for quantum mechanics, rather than standard metric ones. ⟨E⟩, energy, is pronounced /ɛ/. ⟨ψ⟩, the {{w|wave function}}, is read out in full as /psi/, /psaɪ/, or /psə/ the first 2 times and then the last time as /ps/, the sound represented by psi in the Greek alphabet. The negative sign is omitted. ⟨ℏ⟩, {{w|Planck's constant}}, is pronounced /h/. ⟨2⟩ is read as /t/. ⟨m⟩, mass, is pronounced /m/. ⟨{{w|nabla symbol|∇}}⟩, the {{w|Laplace operator}}, is pronounced /d/ after the sound represented by delta in the Greek alphabet. ⟨q⟩ and ⟨r⟩, the charge and distance, are pronounced /kw/ and /ɹ/ following their standard use in English words. The exponents are silent. | ||
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'''''FEE'''''-MAH | '''''FEE'''''-MAH | ||
− | ∂²u/ | + | ∂²u/∂t² = c ∂²u/∂x² <br> |
'''''DOOT''''' CAH-'''''DOOX''''' | '''''DOOT''''' CAH-'''''DOOX''''' | ||
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'''''FAX'''''-LIM-OH '''''FAX'''''-UH-FOX | '''''FAX'''''-LIM-OH '''''FAX'''''-UH-FOX | ||
− | x = −b ± √(b² − 4ac) / | + | x = −b ± √(b² − 4ac) / 2a <br> |
ZA-'''''BO'''''-BA FAK-'''''TOH'''''-AH | ZA-'''''BO'''''-BA FAK-'''''TOH'''''-AH | ||