- We find that Ramanujan-type congruences for Hurwitz class numbers can be sustained on nonholomorphic generating series, in contrast to all other known Ramanujan-type congruences.
- For such nonholomorphic congruences of Hurwitz class numbers, we demonstrate a divisibility conclusion.
- The holomorphic projection of theta series products with a Hurwitz class number generating series and a Serre theorem.
The National Academy of Sciences is how esteemed?
- The American National Academy of Sciences (NAS) is thought to be the nation's most esteemed honorary scientific society.
- But it also has a track record for being male, old, and white. By extending an invitation to a younger, more diverse group of scientists to join them, its members today made a significant step in changing their reputation.
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Gave African-American or Black men the right to vote. 15th amendment
ended slavery in the United States. 13th amendment.
gave African-Americans or Blacks United States citizenship. 14th amendment
Reconstruction period where Congress took responsibility
for bringing the South back into the Union. Congressional reconstruction.
Cycads are gymnosperms that were diverse and abundant during the Mesozoic era. extant species of cycads share many traits with those from the Mesozoic era. Cycads bear cones, are long-lived with slow growth rates, show late reproductive maturity, and have very few offspring. based on this description, the cycads are responses k-strategists with a type i survivorship curve.
<h3>What are Cycads?</h3>
Cycads are seed plants with a thick, woody trunk and a crown of sizable, stiff, pinnate, evergreen leaves. The species are dioecious, meaning that each plant of a species is either a male plant or a female plant. Cycads come in a variety of sizes, with trunks ranging in height from a few centimeters to several meters.
Cycads are essentially woody plants with cone-shaped reproductive structures as well as roots, a stem, and leaves.
Ancient vascular plants known as cycads were once a significant part of the world's flora. Cycad fossils go back to the early Permian.
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