Notes]
The Advent of Lord Krṣṇa: Introduction
109
Vasudeva distinguishes the Supreme Personality of Godhead from ordinary persons. The statement that He personally appeared indicates that He did not send His plenary expansion. The word  priyārtham  indicates that the Lord appeared to please Rukmiṇi and Rādhārāṇi.  Priyā  means “the most beloved.”
In the commentary of Śrī Vīrarāghava Ācārya, the following extra verse is accepted after text twenty-three:
ṛṣayo 'pi tad-ādeśāt kalpyantām paśu-rūpiṇaḥ payo-dāna-mukhenāpi viṣṇum tarpayitum surāḥ
“O demigods, even great sages, following the order of Viṣṇu, appeared in the forms of cows and calves to please the Supreme Personality of Godhead by delivering milk.”
Rāmānujācārya sometimes accepts Baladeva as a  śaktyāveśa-avatāra , but Śrīla Jīva Gosvāmī has explained that Baladeva is an expansion of Krṣṇa and that a part of Baladeva is Saṅkarṣaṇa. Although Baladeva is identical with Saṅkarṣaṇa, He is the origin of Saṅkarṣaṇa. Therefore the word  svarāṭ  has been used to indicate that Baladeva always exists in His own independence. The word  svarāṭ  also indicates that Baladeva is beyond the material conception of existence.  Māyā  cannot attract Him, but because He is fully independent, He can appear by His spiritual potency wherever He likes.  Māyā  is fully under the control of Viṣṇu. Because the material potency and  yogamāyā  mingle in the Lord’s appearance, they are described as  ekānamśā . Sometimes  ekānamśā  is interpreted to mean “without differentiation.” Saṅkarṣaṇa and Śeṣa-nāga are identical. As stated by Yamunādevī, “O Rāma, O great-armed master of the world, who have extended Yourself throughout the entire universe by one plenary expansion, it is not possible to understand You fully.” Therefore  ekāmśā  refers to Śeṣa-nāga. In other words, Baladeva, merely by His partial expansion, sustains the entire universe.
The word  kāryārthe  refers to one who attracted the pregnancy of Devakī and bewildered mother Yaśodā. These pastimes are very confidential. The Supreme Personality of Godhead ordered  yogamāyā  to bewilder His associates in His pastimes and bewilder demons like Kaṁsa.