### FIFA15 Gリーグ 第4節 Lazard－TATEPON de RING PKを獲得した時のラザードスカイプ音声

ふぁい.

For those seeking some good clean energy news to ring in the new year, look no further than Lazard's annual report on the costs of electricity generation technologies. The investment firm's recent analysis reaffirms energy expert and philanthropist Hal ...

In mathematics, **Lazard's universal ring** is a ring introduced by Michel Lazard in Lazard over which the universal commutative one-dimensional formal group law is defined.

In mathematics, **Lazard's universal ring** is a ring introduced by Michel Lazard in Lazard (1955) over which the universal commutative one-dimensional formal group law is defined.

There is a universal commutative one-dimensional formal group law over a universal commutative ring defined as follows. We let

*F*(*x*,*y*)

be

*x*+*y*+ Σ*c*_{i,j}*x**y*

for indeterminates

*c*_{i,j},

and we define the universal ring *R* to be the commutative ring generated by the elements *c*_{i,j}, with the relations that are forced by the associativity and commutativity laws for formal group laws. More or less by definition, the ring *R* has the following universal property:

- For every commutative ring
*S*, one-dimensional formal group laws over*S*correspond to ring homomorphisms from*R*to*S*.

The commutative ring *R* constructed above is known as **Lazard's universal ring**. At first sight it seems to be incredibly complicated: the relations between its generators are very messy. However Lazard proved that it has a very simple structure: it is just a polynomial ring (over the integers) on generators of degree 1, 2, 3, ... (where *c*_{i,j} has degree (*i* + *j* − 1)). Quillen (1969) proved that the coefficient ring of complex cobordism is naturally isomorphic as a graded ring to Lazard's universal ring. Hence, topologists commonly regrade the Lazard ring so that *c* _{i, j} has degree *2(i+j-1)*, because the coefficient ring of complex cobordism is evenly graded.

ふぁい.

ふぁい.

Watch live at http://www.twitch.tv/tatepon_de_ring.

Watch live at http://www.twitch.tv/tatepon_de_ring.

Lazard - Your Heart Keeps Burning.

Expect the unexpected! This is one of the most startling puzzles I've ever seen, and requires both imagination and a deep understanding to unlock its secret.