Inested vs p

Inested helps students and researchers find the opportunities that shape a research career: scholarships, funded research positions and the people who can help you get there. Whether you’re applying for a master’s or PhD, looking for a research assistant role, or building your academic profile, Inested brings everything into one place, so you spend less time searching and more time applying. SCHOLARSHIPS AND FUNDING Discover scholarships and funded graduate opportunities from universities and organizations around the world. New opportunities are added regularly, so you can catch deadlines before they pass. RESEARCH JOBS FOR EVERYONE Browse research positions in academia and industry, from research assistant roles to postdocs. Filter by field, location and visa sponsorship to find positions that welcome international applicants. FREE MENTORSHIP Connect with mentors who have been through the process. Get guidance on choosing programs, preparing applications and planning your research career, free for students. APPLICATION HELP Need support with a complex application, such as an NIW petition? Find experienced helpers on Inested who can guide you through it. PUBLICATIONS AND SCHOLAR PROFILES Showcase your research with a scholar profile and publication list. Explore other researchers’ work, see who they collaborate with, and find people working on the questions you care about. SHARE OPPORTUNITIES Know of a scholarship or research opening? Post it on Inested and help another student take the next step. WHO INESTED IS FOR Undergraduate and graduate students looking for scholarships and research experience International students looking for funded positions and visa sponsorship Researchers and professors building their academic network Join a growing community of students and researchers, and find your next opportunity on Inested.

p-adelic shows a number in all of its completions at once. Type 1/3, √2, a polynomial or log 7 and watch the adelic strip: one column for the real line and one for each prime p, each streaming the number's digits in base p and growing leftward as you turn the precision dial. There is no "p-adic mode" to switch into — you always see the whole picture, the way number theorists think about it. THE STRIP • A column per place: ∞ plus the primes that matter for your input, and any prime you pin. • Streaming precision from 5 to 200 digits; every column updates together. • Exact periodicity for rationals: the repeating block is marked with an overline, and long runs of digits fold into pills you can tap open. • Tap a column to focus it; the focused card shows valuations, unit parts, Legendre symbols and the Laurent form. DEEP DIVE • Digits, Laurent series and Witt-vector views of the same number. • Nested balls: zoom into ℤₚ ball by ball, following your number's digits. • The Bruhat–Tits tree and the Berkovich line of the chosen place. ALGEBRAIC NUMBERS • √d, roots of unity ζₙ, Teichmüller representatives, and any algebraic number given by its minimal polynomial, e.g. algebraic(x³ − 2). • See whether a prime splits, stays inert or ramifies; extend the field with one tap and cycle through the Galois conjugates. POLYNOMIALS • Newton polygons at every prime and at ∞, with slopes, multiplicities and the Krasner check. SPECIAL FUNCTIONS • p-adic exp, log and Artin–Hasse, with their convergence disks. • Factorials with Legendre's formula, Morita's Γₚ with the Wilson check. • Kubota–Leopoldt ζₚ and L-values, Hilbert symbols with the reciprocity check, and Tate's local factors. LEARN AND REUSE • A Library of worked examples for every idea above, from −1 = …(p−1)(p−1)(p−1) to the Berkovich line of ∛2. • History you can reopen with one tap. • VoiceOver describes every visualization; text and digits follow Dynamic Type. PRIVATE BY DESIGN Everything is computed on your device. The app has no account, no analytics and makes no network connections. For students meeting p-adic numbers for the first time, teachers who want a live picture to point at, and researchers who need a Newton polygon or a Hilbert symbol checked in seconds.