Though Indian mathematician Ramanujan had almost no formal training in pure mathematics, he made substantial contributions to number theory, mathematical analysis, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable.
Many people recognize the names of certain Native American tribes, such as the Apache, Sioux, Cherokee, and Cheyenne, yet countless other Indigenous groups remain overlooked despite their profound contributions to North American history. Tribes like the Blackfeet, Arapaho, and Navajo played vital roles in shaping the continent’s past, yet their stories are often underrepresented. Each of these groups maintained rich traditions, complex social structures, and unique cultural practices long before European colonization.
The limited focus on these lesser-known tribes in historical narratives has led to a narrow perception of Native American heritage. This oversight diminishes awareness of their customs, achievements, and deep connections to the land. The Blackfeet, for instance, had a strong buffalo-hunting culture, while the Navajo became renowned for their intricate weaving and silverwork. These and many other tribes developed advanced trade networks, spiritual traditions, and governance systems that shaped the regions they inhabited.
By expanding our understanding of Native American history, we acknowledge the full breadth of their influence and resilience. Recognizing all tribes—not just the most widely remembered—ensures that their contributions are honored and that their legacies remain an integral part of the broader historical narrative.
#archaeohistories
Mathematics.
The Woman, the Finger, and the chimp: A Math Puzzle That Will Make You Question Everything.
"Will a chimp type the complete works of William Shakespeare if the chimp hits keys at random on a typewriter for an infinite amount of time?"
Mathematics.
Isn't this a lovely looking formulation? Imagine the joy of writing a novel in which the lead character uses this as evidence for the existence of a deity. tinyurl.com/y5kub3bj
Black Sabbath in a promotional photo from 1976, where they adopted a Wild West aesthetic for fun during a backstage photo shoot in Detroit. Photo by Sam Emerson.
A flyer for one of the 1967 Jimi Hendrix Winter Tour venues, which (apart from the first night at the Royal Albert Hall) saw two performances from all the acts each evening. Pink Floyd had a roughly 20 minute set...
The earliest sharks were not sleek swimmers like modern species. Many of them had bizarre bodies that look nothing like the sharks we know today. Some early sharks had armor plates, some had jaws shaped like spirals and one group had fin spines that curved backward like hooks. Fossils also show that ancient sharks had multiple sets of jaws arranged deeper in the throat, allowing them to grab prey in ways no modern shark can. Their teeth were produced so rapidly that ancient seabeds became covered in layers of fossil shark teeth long before the first forests appeared on land. This incredible diversity helped sharks survive every major mass extinction, making them one of the most persistent survivors in Earth’s history.
Interesting fact:
Sharks have been around longer than trees. The earliest 'tree' lived around 380 million years ago, sharks have been around for over 400 million years.
NGC 1097 es una bonita galaxia espiral que está a 45 millones de años-luz de la Vía Láctea. Destaca por sus brazos espirales, que parecen rodear a la pequeña galaxia compañera que tiene abajo a su izquierda, a unos 40 000 años luz del centro de la galaxia. NGC 1097, en su núcleo, también alberga un agujero negro supermasivo. #FelizJueves
@OrangeAmps Congrats to the winners @OrangeAmps, but this good old Alembic yeller needs to yell helluva louder next year so, I wish I could win an OB1-500 paired with an OBC410 to make it happy again #whishgranted
🚨 Day 11 of #WishGranted - just one day left to make your wish!
Tomorrow is your last chance to join the fun! Comment with #WishGranted or enter at orangeamps.com.
🎁 Winners announced daily until December 23rd.
@OrangeAmps Congrats to the winners @OrangeAmps, but this good old Alembic yeller needs to yell helluva louder next year so, I wish I could win an OB1-500 paired with an OBC410HC to make it happy again #whishgranted
✨Day 10 of #WishGranted✨
Still dreaming of Orange gear under your tree? There’s still time to make it happen! Comment with #WishGranted or enter at orangeamps.com.
🎁 Daily winners announced until December 23rd. Your wish could be next!