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θ i is the angular position of the speaker i. d is the distance between microphones.
L i is the distance between speaker i and array center.
The first is enrollment (training), where model parameters are computed for each registered speaker,"i",, represented by the feature vectors.
Pure cepstral coefficients of a speaker "i", denoted by, are obtained applying the mel-scaled filter banks up to 4 kHz.
As a professional speaker, I use the term T.S.O.
6.04am BST Madam speaker – I never shrink from an opportunity.
Madam Speaker I never shrink fom an opportunity.
"They just don't get it, Mr Speaker," I say.
Finishing: Mr Speaker, I thought I had problems.
First: "As your commencement speaker, I will be brief".
"Mr Speaker, I think it's most unfortunate… honourable members opposite are now singing".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com