彼は必要な数学の公式を完全にマスターしていた。

Sentence Analyzer

彼は必要な数学の公式を完全にますたーしていた。

English Translation

He had complete mastery over the necessary mathematics formula.

Furigana

彼(かれ)は必要(ひつよう)な数学(すうがく)の公式(こうしき)を完全(かんぜん)にマスターしていた。

Romanji

Kare wa hitsuyōna sūgaku no kōshiki o kanzen ni masuta-shiteita.

Words

彼 (かれ)

he; him; his; boyfriend

は (は)

topic marker particle; indicates contrast with another option (stated or unstated); adds emphasis

必要 (ひつよう)

necessary; needed; essential; indispensable; necessity; need; requirement

数学 (すうがく)

mathematics; arithmetic

の (の)

indicates possessive; nominalizes verbs and adjectives; substitutes for "ga" in subordinate phrases; (at sentence-end, falling tone) indicates a confident conclusion; (at sentence-end) indicates emotional emphasis; (at sentence-end, rising tone) indicates question

公式 (こうしき)

formality; formal; official; formula

を (を)

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

完全 (かんぜん)

perfection; completeness

に (に)

at (place, time); in; on; during; to (direction, state); toward; into; for (purpose); because of (reason); for; with; by; from; as (i.e. in the role of); per; in; for; a (e.g. "once a month"); and; in addition to; if; although

マスター (マスター、マスタ)

to master; to learn; proprietor; manager; bar-owner; master (e.g. arts, science)