This section is from the book "Karpuradistotram. Karpuradi Stotra Tantrik Texts", by Arthur Avalon (Sir John Woodroffe). Also available from Amazon: The Serpent Power: The Secrets of Tantric and Shaktic Yoga.
' Sword '
The sword is knowledge (Jnana) by which the bonds of ignorance of the desire-free Sadhaka are severed See Shiva-dharmottara.
' Severed head' (Chhinna-mundam.)
The human head is the seat of Tattvajnana free of attachment.
' Terrible countenance' (Prakratita-radane)
' Preoious Mantras ' (Manu-vi-bhavam)
Her white teeth indicative of the white self-manifesting Sattva Guna bite the red lolling tongue indicative of Rajas Guna and suppress both Rajas and Tamas. by Sattva.
The three 'Krim' Bijas represent the Chidghana aspect of Devi, the two Hum Bijas the Sattva Guna aspect and the two 'Hrim' Bijas the Rajahpradhanasattva Guna aspect.
1 As stated - that is, Krim Krim Krim Hum Hum Hrim Hrim which with Dakshine makes ten syllables.
2 Siddhi - that is, Anima Laghima Garima, Prapti, Prakamya, Ishitva, Vashitva, Kamdvasayita the power of becoming small, great, heavy, light, etc., which are inherent in Ishvara, and are attainable by Yogis who become Ishvara and gain Aishvarya. By realization of the self, that Divine state which is the universal Self is manifested, as also the eight-fold manifestation of the Divine power.
3 Tryambaka or Shiva. According to Tarkalangkara's Commentary on Mahanirvana Tantra, Tryambaka means the father of the three Devas, Brahma, Vishnu, and Rudra. The Rigvidbana uses it as an equivalent of Mahadeva. The Mahanirvana Tantra says: ' As She surveys the entire universe, which is the product of time, with Her three eyes - the Moon, Sun, and Fire - therefore She is endowed with three eyes' (Ullasa xiii,verse 8) The Moon, Sun, and Fire are the Ichchha, Kriya,Jnana and other Shaktis (see the Shatchakranirupana of Purnananda Svami) and Serpent Power by A, Avalon.
4' By him who carries a flower its odour is enjoyed without seeking. By him who looks upon himself as the universal Self the powers (of Brahma, etc.) are enjoyed' (Commentary of Sureshvaracharya on nth Shloka of Dakshinamurti Stotra).
[Durgarama Siddhantavagisha explains this in the following different ways: - (a) Manuvibhava = the Vibhava or Sampatti (precious possession) of Manus or Mantras. This precious possession is the name in the vocative case ' Dakshine Kalike.' The meaning of the passage then is that those who recite Thy name Dakshine Kalike, which is the precious possession of Mantras, and meditate on this Thine appearance possess the Powers and so forth, (b) Manuvibhava is the Vibhava of the Manu that is the twenty-two syllabled Mantra of Kali. This possession is the name Dakshina Kalika. (c) Manu-vibhava = Manu (Mantra) vibhava (Ghataka) of which (the Devi's body) is the body of which Mantra is the generator. The bodies of the Devatas ore produced by their Mantras. The passage thus means that, they who recite Thy name Dakshina Kalika and meditate on this Thine appearance generated by Mantra possess and forth.] See last Verse.
[The same commentator (Durgarama) offers three explanations of the term Tryambaka used for Shiva (a He who has three Ambakas or eyes is Tryambaka (6) He who has three Mothers or Ambas is Tryambaka. The Kalikapurana says, 'As Hara is born of three Mothers He is known, even amongst Devas, by the title Tryambaka. (c) Todala Tantra says 'the Vidya Bhubaneshvari is in Heaven, Earth, and the Nether world (Patala). He who delights in the Devi as threefold in three places is called Tryambaka. He is with Shakti and is worshipped in all Tantras.']
' Three eyed one (Tryambaka) '
0 Mother, they who recite Thy charming Bija, composed of the first of the group of letters,1 followed by Vahni2 Rati;' and beautified by Vidhu,4 thrice, the Kurcha Bija 5 twice, and thereafter, 0 Smiling Face, the Lajja 1 Bija twice, followed by the two Thas,2 they, 0 Spouse of the Destroyer of the Deva of Desire3 contemplating Thy true form,1 become themselves the Deva of Love whose eyes are as beautiful as the petals of the lotus which Lakshmi holds in Her playful dance.'
1 That is, Ka. 2 Deva of Fire, or Ra. 3 Shakti of Kama, God of love, or long I.
4 The moon, or Nada-bindu. The Bija is, therefore, K+ r + i + m = Krim
5 That is, Hum.