3,427 reputation
834
bio website tc.columbia.edu/academics/…
location Brookline, MA
age 28
visits member for 1 year, 11 months
seen 2 hours ago

Profile for Benjamin Dickman on Stack Exchange: MESE, MSE, and MO

Ph.D., Mathematics Education, Columbia University. 2014. NSFGRFP.

Dissertation: Conceptions of Creativity in Elementary School Mathematical Problem Posing.

M.Phil., Mathematics Education, Columbia University. 2014.

Fulbright Grant, Mathematics/Mathematics Education, Nanjing Normal University. 2008-2009.

Research Topic: High School Mathematics Teacher Training in China.

B.A., Mathematics, Amherst College. 2008. Honors Program.

Undergraduate Thesis: On a Theorem of Dwork. (p-adic proof of the rationality part of the Weil Conjectures.)


Have you solved any of my puzzles? If so, send me an email!
Email: bmd2118[at]colunbia.edu. (Change n to m.)


Jul
3
revised Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
post bounty edit
Jul
2
awarded  Curious
Jul
1
revised Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
Final plea for reference-request.
Jun
27
comment Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
@mjqxxxx Right: I am quite sure that it is true for all "dragons"; but I haven't seen a paper with an actual proof!
Jun
26
revised Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
Bounty Edit
Jun
25
answered Proof of basic arithmetic operations
Jun
25
awarded  Nice Question
Jun
23
comment Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
@PerryIverson If the Guo proof mentioned above is true, then the answer below would finish off all four cases; surprising that Guo would publish without the complete characterization! Thanks for the pointers; hopefully someone can recover an accessible reference.
Jun
23
comment Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
@PerryIverson Thanks for the pointer to alternative names; see edit above. (I'm thinking the source I came across - maybe the same as you? - has misquoted the result.)
Jun
23
revised Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
added two tags and some information using other names of "balloons"
Jun
23
comment $\left(\sqrt{8}+\sqrt{2}\right)^2$ = 18 why??
... $= 9\cdot 2 = 18$
Jun
23
comment Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
RE: Edited comment. Note that $C_n$ is graceful iff $n \equiv 0 \mod 4$ or $n \equiv 3 \mod 4$; hence, apparently, my result for $B(3,k)$ and yours for $B(4,k)$.
Jun
23
revised Is this a valid proof?
edited body
Jun
23
comment Correct reasoning when proving the multiplication property in modular arithmetic?
@Artem You're welcome! You may be surprised at how often the "trick" of adding and subtracting the same thing comes up. In this case, where you have $ak-bj$, you might also have tried using an inserted $-aj + aj$; that is: $ak - bj = ak - aj + aj - bj = a(k-j) + j(a-b) = amc + jnc = (am+jn)c$, and again we find that $ak - bj$ is a multiple of $c$ as desired.
Jun
23
comment Addition, multiplication, exponentiation… What is next function of this series?
In addition the the hyperoperation reference above, see, in particular, the page on the Knuth up-arrow: en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation
Jun
23
answered Correct reasoning when proving the multiplication property in modular arithmetic?
Jun
23
comment Dice and probability
@Pratik You're welcome! Hopefully the problem is clearer now...
Jun
23
asked Does every “balloon” (dragon, tadpole, canoe paddle) admit a graceful labeling?
Jun
15
answered Dice and probability
Jun
15
awarded  Revival