anu śāstram bālau nṛpam namataḥ

 The phrase “anu śāstram bālau nṛpam namataḥ” can be analyzed word by word to understand its meaning in a traditional Vedic-Hindu context:

1. anu (अनु) – Typically means “following,” “after,” or “according to.” It can also refer to something minute or atomic in certain philosophical contexts, but here it is likely temporal or sequential, indicating “according to” or “in accordance with.”
2. śāstram (शास्त्रम्) – Refers to a “scripture,” “treatise,” or “sacred text.” It includes Vedic texts, Smritis, or other authoritative works on dharma, philosophy, or practical knowledge.
3. bālau (बालौ) – The dual form of bāla (बाल), meaning “children” or “young ones.” The dual form indicates two children, sons, or young rulers.
4. nṛpam (नृपम्) – “King” or “ruler.”
5. namataḥ (नमतः) – “Bowing,” “or paying obeisance,” or “offering respect.”

Putting it together with attention to Sanskrit grammar and Vedic phrasing:

Literal translation:

“According to the scripture, the two children prostrated before the king.”

Contextual interpretation:

This phrase likely describes a scene from a Purāṇa or Itihāsa (e.g., Mahābhārata or Bhagavata Purāṇa) where two young princes or sons bow reverently to their ruler, following the injunctions or codes laid out in the scriptures for proper conduct and dharma.

The phrase emphasizes ritualistic propriety: the act of bowing to elders or kings, bālau (the young), doing so in accordance with śāstram (scriptural rules), demonstrating pious or respectful behavior.

In summary:

$\text{"The two children, following the scriptures, respectfully bowed to the king."}$

This aligns with common narrative motifs in Sanskrit texts where young princes are instructed in etiquette, duty, and respect.