豪邁[goumai] intrepidity
直往邁進[chokuoumaishin] push boldly forward
天資英邁[tenshieimai] highly gifted
勇往邁進[yuuoumaishin] dash and go

勇邁[yuumai] heroic
邁進[maishin] pushing forward (undaunted, bravely)
英邁[eimai] wise and great
高邁[koumai] noble

高が[takaga] it's only ... (something)
意気軒高[ikikenkou] in high spirits
異常高温[ijoukouon] abnormally high temperatures
一斉高[isseidaka] all-round (market) advance
雲高[unkou] height of clouds

円高[endaka] high-valued yen
価値高い[kachitakai] valuable
可能性が高い[kanouseigatakai] very likely
勘定高い[kanjoudakai] calculating
気高い[kedakai] sublime