Adumbrated

To be honest, my duties here are very ill defined, or rather not defined at all, but only adumbrated.

It is not the biologist with an inkling of mathematics, but the skilled and learned mathematician who must ultimately deal with such problems as are merely sketched and adumbrated here.

We shall, therefore, only very humbly submit whether the whole statement be not rather too theoretic and somewhat too darkly adumbrated in ambiguous phraseology for plain, uncollegian understandings.