Examples of using Ramanujan in English and their translations into Russian
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Later they proved that there exist bipartite Ramanujan graphs of every degree and every number of vertices.
Adam Marcus, Daniel Spielman and Nikhil Srivastava proved the existence of d{\displaystyle d}-regular bipartite Ramanujan graphs for any d{\displaystyle d.
The name is derived from a conversation in about 1919 involving mathematicians G. H. Hardy and Srinivasa Ramanujan.
and Morgenstern(1994) show how Ramanujan graphs can be constructed explicitly.
the d{\displaystyle d}-regular, n{\displaystyle n}-vertex Ramanujan graphs nearly minimize λ( G){\displaystyle\lambda G.
was made famous in the early 20th century by a story involving Srinivasa Ramanujan.
It is in fact known that the Ramanujan property itself implies that the local girths of the graph are almost always large.
Ramanujan states that this"curious approximation" to π{\displaystyle\pi} was"obtained empirically" and
Ramanujan wrote in his second letter to G. H. Hardy,
In particular, the Jacobi triple product takes on a particularly elegant form when written in terms of the Ramanujan theta.
The age limit for the prize has been set at 32(the age at which Ramanujan died), and the current award is $10,000.
gave him instructions on what to do with them if he, Ramanujan, died.
Sarnak show how to construct an infinite family of( p+ 1){\displaystyle(p+1)}-regular Ramanujan graphs, whenever p{\displaystyle p}
Holowinsky was awarded the SASTRA Ramanujan Prize in 2011 for his contributions to"areas of mathematics influenced by the genius Srinivasa Ramanujan", for proving, with Kannan Soundararajan,
A friend of Ramanujan known as Sandow related the following conversation with Ramanujan.
Sandow goes on to inquire how Ramanujan gets money for food.
Ramanujan worked at the Port Trust Office for only a year.
This enabled Ramanujan to do his mathematical researches day and night.
Hardy also started pulling strings to get Ramanujan support for his work.
Hardy then set to find a way to bring Ramanujan to Cambridge.