How do I propose new ideas?

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If a person uses their own devices to study a subject, that is, their methods deviate from conventionally accepted methods due to lack of knowledge regarding mainstream mathematics, how do they disclose findings, or make minor propositions?

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Your best bet may be to find somebody at a local university who works in the same subject and is willing to be a mentor to you. This is easiest if you are a student at that university, but even if you are not, they may be willing if they find your ideas interesting and you do not take too much of their time. You must be willing to study the "conventionally accepted methods": there are likely to be good reasons why your methods are not "conventionally accepted". That said, it is not unheard of for an amateur to come up with some significant new ideas that the professionals have missed.