2022年9月2日 · In papers, spectral energy distributions are given either in $F_\nu$, $\nu F_\nu$, $F_\lambda$ or $\lambda F_\lambda$. $F_\nu$ has units of Janskys, for example. Is there a clear explanation online I can point my undergrad students to for how to convert between these and why it works this way?

Still, f f is more commonly used in engineering sciences, while ν ν is preferred by physicists. In any work, you should pick a convention and stick to it. In my own work, I typically use f f for audio frequencies and ν ν for optical frequencies, both in Hz. I …

2012年3月27日 · Convert f_nu to f_lambda or f_lambda to f_nu. Either: given f_lambda and lambda returns f_nu and 'nu' or given f_nu and nu returns f_lambda and lambda. Units are: erg s^-1 cm^-2 Hz^-1 for f_nu and erg s^-1 cm^-2 Ang^-1 for f_lambda. Works because f_nu = f_lambda * lambda**2/c and f_lambda = f_nu * nu**2/c, and I use c in units of Angs/s.

when people who first saw it may think it's velocity due to its resemblance with v v and get confused? (And even the frequency formula for matter waves de Broglie deduced from it uses f f.) Is there a historical reason behind this? ν ν. ω ω.

Equivalence relation between measures ν ν, μ μ is equivalent to ν = fμ ν = f μ for a density f f.

2023年3月17日 · Fab F a b is not the inverse of Fa,b F a, b but rather the sum Fμνημaηνb F μ ν η μ a η ν b. You’re raising the indices of a covariant tensor with the metric to obtain a contra variant tensor. I’ll add more about this in a bit in a full answer, but really this makes the most when we think of everything in terms of differential forms.

另外关于频率 f 和 ν （那个不是 v，是希腊字母 ν）两种表记其实不论是在大学课本和高中课本中都能见到， ν 一般出现在光学、力学、 电磁学 中，表示振动或是波的频率，而 ν 一般出现在 原子物理 、量子力学中，不过更常用的是角频率 ω。 比如中学的物理电源就是两根线，而到了大学的电路分析里电压源就用带一根线的圈表示，中学用f表示频率，…

2015年1月1日 · For context, if ν ν is a complex measure on (X,M) (X, M) then |ν| | ν | is defined as d|ν| =|g|dμ d | ν | = | g | d μ where positive measure μ μ and g ∈L1(μ) g ∈ L 1 (μ) are such that ν ≪ μ ν ≪ μ and ν = gdμ ν = g d μ (and in the textbook it's shown that this definition does not depend on the choice of μ μ).

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