- commonly, hexic)
Degree 7 –
septic (or, less commonly, heptic)
Degree 8 –
octic Degree 9 –
nonic Degree 10 –
decic Names for
degree above three are based...
- In
number theory,
octic reciprocity is a
reciprocity law
relating the
residues of 8th
powers modulo primes,
analogous to the law of
quadratic reciprocity...
- In
algebraic geometry, an Endr****
surface is a
nodal surface of
degree 8 with 168 real nodes,
found by
Stephan Endr**** (1997). This is the most real nodes...
- ****tic,
octic and
dodectic nodal surfaces with high
numbers of
nodes and high
degrees of symmetry. ****tic with 48 node ****tic with 48 node
Octic with 72...
- In mathematics, a
reciprocity law is a
generalization of the law of
quadratic reciprocity to
arbitrary monic irreducible polynomials f ( x ) {\displaystyle...
-
function Quartic function Quintic function ****tic
function Septic function Octic function Completing the
square Abel–Ruffini
theorem Bring radical Binomial...
-
degree five ****tic
equation for
degree six
septic equation for
degree seven octic equation for
degree eight A
Diophantine equation is an
equation where the...
-
general root of unity. As an example,
there are
rational biquadratic and
octic reciprocity laws.
Define the
symbol (x|p)k to be +1 if x is a k-th power...
- {\displaystyle p} then a = b l . {\displaystyle a=b^{l}.}
Quartic reciprocity Octic reciprocity Wieferich's
criterion Mirimanoff's
congruence Lemmermeyer, p...
- "Determination of all non-normal
quartic CM-fields and of all non-abelian
normal octic CM-fields with
class number one", Acta Arithmetica, 67 (1): 47–62, doi:10...
