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How Albert Einstein Saved A Former Lover From The Nazis

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In honor of Albert Einstein's 133rd birthday, Israel's Hebrew University announced that it had added 2,000 newly digitized documents from the physicist's collection to its online portal.

From an original handwritten draft of the Theory of Relativity (including its famous equation E=MC2) to personal letters, the collection gives a more "coherent picture" of a human being "who, more than anyone else in the first half of the 20th century, expressed his views on everything on the agenda of mankind," says Hanoch Gutfreund, the head curator of Einstein's intellectual property. And there's more to come — the university will eventually digitize all 80,000 documents in its possession. Here, six revelations about Einstein:

1. Einstein was an excellent student
Popular myth holds that Einstein was a bit of a dunce at school, a kind of mental Ugly Duckling who flowered intellectually later in life. Not so, the archives show. He was a sharp student, but bristled under the strict discipline of his teachers.

2. Einstein loved his mother way more than science
Upon learning of an experiment affirming that light could be bent — proving his Theory of Relativity — Einstein dashed off a postcard to his ailing mother. "Good news," he wrote. "British expeditions have definitively confirmed the deflection of light by the Sun. Unfortunately, Maja has written me that you're not only in a lot of pain but that you also have gloomy thoughts. How I would like to keep you company again so that you're not left to ugly brooding."

3. Fans fixated on his wild hair
The scientist's wire-y bouffant is a recurring theme in the correspondence he received. A letter from a 6-year-old reads, "I saw your picture in the paper. I think you ought to have a haircut." An older fan wrote, "I'm making a scientific survey to determine why genius so often tends to long hair."

4. Einstein had a strong Jewish identity before the Nazi era 
Historians have speculated that the scientist embraced his Jewish roots largely in response to Hitler's rise in Einstein's native Germany. But letters show that he was deeply involved in fighting bigotry before Hitler came to power, deploring Germany's policy of denying university entrance to eastern European Jews. When accused of being disloyal to his country, he responded, "I do still always feel obliged to speak up for my persecuted and morally oppressed fellow clansmen… this involves an act of loyalty far more than one of disloyalty."

5. Einstein saved an old flame from the Nazis 
Betty Neuman, Einstein's former mistress, wrote him 15 years after their affair to see if he could arrange her passage to America. "Einstein obliged, penning an affidavit that helped save her from the Nazis," says Karl Vick at Time.

6. Einstein wanted peace between Arabs and Jews 
After religious violence left 67 Jews dead in 1929 Hebron, Einstein wrote a letter to the Falastin newspaper suggesting how Jews and Arabs could make peace. (This was nearly 20 years before Israel even existed as a nation-state.) Einstein proposed what is arguably not his most genius idea: A council of eight wise men, split evenly between Jews and Arabs, that would resolve quarrels.

Sources: Bloomberg BusinessweekFox NewsSpace.comTIME

This post originally appeared at The Week.

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Slices Of Einstein's Brain Are On Display For The First Time In Britain

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If you've always wanted to see the mind of a genius, now’s your chance. Sections of Nobel laureate Albert Einstein’s brain are set to go on display in Britain for the first time, the UK Press Association reports.

They are part of the Wellcome Collection’s London exhibition “Brains: The Mind As Matter”, which also include the brains of an ancient Egyptian, computer science pioneer Charles Babbage, and U.S. suffragette Helen Gardner (who donated her brain to science to disprove gender stereotypes), among others. The exhibition examines the mapping, modeling, cutting and treating, and preservation techniques used on the brain, The Daily Mail reports.

Two slides from Einstein's brain are on loan from the Mutter Museum in Philadelphia, Pa., where they were shown publicly for the first time in the U.S. last year. Following Einstein’s death at 76 in 1955, he was cremated. But pathologist Thomas Harvey, who performed the postmortem exam, made the disputed claim that Einstein’s son had allowed him to keep the brain for research.

Harvey kept the brain anyway, and divided it into 240 sections, preserved in jars of formaldehyde at his house. He gave a box of 46 slides to his colleague William Ehrich. These samples were eventually donated to the museum in Philadelphia.

Co-curator Lucy Shanahan said while the specimens can’t really tell us how their owners’ minds worked, their preservation still makes people stop and think, Reuters reports.

The exhibition, which runs till June 17, ends with video clips of interviews with prospective brain donors.

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Here Are The Census Entries Of Iconic 1940s Celebrities

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The 1940 census was just released by the U.S. government, allowing millions of people to find out more about their family history.

Subsequently, "1940 census" just made the top U.S. Google search query. 

Israeli startup MyHeritage put the census data online as a searchable database, beating U.S. companies to the punch, according to the blog Ancestry Insider.

MyHeritage sent us images of the census sheets of some of the greatest celebrities of the 1940s: Elvis, Albert Einstein, Charlie Chaplin, Al Capone and Grace Kelly. They're small pieces of history. 

Here's Elvis. He was 5 at the time. His father was a carpenter, and his mother was a seamstress.



Here's the Albert Einstein household in 1940, the year he received US citizenship.



Charlie Chaplin and his wife Paulette listed as part of their household a maid, cook and chauffeur. This dates from the same time as his iconic film, The Dictator.



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'We Can't Solve Problems By Using The Same Kind Of Thinking We Used When We Created Them'

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Albert Einstein died 57 years ago today, but that doesn’t mean people can't still learn something from one of history's greatest minds. 

Even though Einstein was best known for his work in physics, many of his lessons and famous quotes are very applicable to business as well. 

Here are five famous quotes from Albert Einstein translated by BusinessNewsDaily and applied to business. 

"If A is success in life, then A = x + y + z. Work is x, play is y and z is keeping your mouth shut."

This simple equation may show exactly what it takes to be successful in life, but the same is true for business.  Loads of hard work and determination are necessary to make any given venture a success, particularly when speaking about business.

"We can't solve problems by using the same kind of thinking we used when we created them."

Simply put, this is another way to say one of the most popular and overused buzzwords in business. Thinking outside the box, no matter how cliché, is oftentimes a necessary and extremely effective way to fix problems and come up with new ideas. 

"Any fool can make things bigger, more complex, and more violent.  It takes a touch of genius–and a lot of courage–to move in the opposite direction".

More often than not, success in business requires taking a leap of faith or following the path less traveled. That, however, does not make the decision to do so any easier for entrepreneurs and businesses. 

[8 'Yogisms' on Business and Life]

"Logic will get you from A to B. Imagination will take you everywhere."

Numbers and projections can only take you so far. A large part of making any business a success relies on their willingness to take chances and their ability to come up with new ideas before anyone else. 

“Learn from yesterday, live for today, hope for tomorrow. The important thing is not to stop questioning.”

Once a business reaches a certain level of success, it becomes very easy for them to rest on their laurels and become complacent.  This is a good way for businesses to quickly get passed over by competition.  No matter how big and successful your business is, you cannot stop questioning how to improve.

Reach BusinessNewsDaily staff writer David Mielach at Dmielach@techmedianetwork.com. Follow him on Twitter @D_M89.

Copyright 2012 BusinessNewsDaily, a TechMediaNetwork company. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.

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How Geniuses Think Differently From Everyone Else

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Creativity expert Michael Michalko recently wrote an excellent article, "How Geniuses Think" that explains what separates geniuses from the rest of the world.

Michalko points out that geniuses don't necessarily have the highest IQs, but they simply know how to think differently.

Regular people think reproductively, he says, which is the concept of revisiting ideas and solutions that have worked in the past.

Geniuses, on the other hand, think productively, always looking at problems in new ways.

Michalko pored over research on geniuses and hashed out some ways they think differently from the rest:

They look at problems in ways no one else has. 

"Leonardo da Vinci believed that to gain knowledge about the form of problems, you begin by learning how to restructure it in many different ways. With this is a deeper understanding of the problem."

"Einstein's theory of relativity is, in essence, a description of the interaction between different perspectives."

They express themselves in lots of different ways.

"Einstein always found it necessary to formulate his subject in as many different ways as possible, including diagrammatically. He thought in terms of visual and spatial forms, rather than thinking along purely mathematical or verbal lines of reasoning."

Geniuses produce, period.

"Thomas Edison held 1,093 patents, still the record. He guaranteed productivity by giving himself and his assistants idea quotas. His own personal quota was one minor invention every 10 days and a major invention every six months."

Geniuses think in opposites and connect the unconnected. 

"Physicist Niels Bohr believed that if you held opposites together, then you suspend your thought and your mind moves to a new level. Because Edison could tolerate the ambivalence between two incompatible things, he could see the relationship that led to his breakthrough."

Read more about how geniuses think differently over at the Creativity Post >

Don't Miss: This Chart Shows Just How Much Smarter Engineers Are Than Everyone Else >

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Time Travel From The New Movie 'Looper' May Be Possible, Scientists Say

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Time travel is a staple of science fiction, with the latest rendition showing up in the film "Looper."

And it turns out jumps through time are possible, according to the laws of physics, though traveling into the future looks to be much more feasible than traveling into the past.

"Looper" stars Joseph Gordon-Levitt as Joe, an assassin who kills targets sent back in time by the mob. Things get complicated when Joe is assigned to kill his future self, played by Bruce Willis.

 The movie, produced by TriStar Pictures, opens today (Sept. 28).

In this imagining, time travel has been put to nefarious uses by people operating outside the law. But could such a thing ever happen in real life?

"It's actually consistent with the laws of physics to change the rate at which clocks run," said Edward Farhi, director of the Center for Theoretical Physics at MIT. "There's no question that you can skip into the future.

However, Farhi told LiveScience, "most physicists think you can go forward, but coming back is much more problematic."

The roots of time travel stem from Einstein's theory of relativity, which revealed how the passage of time is relative, depending on how fast you are traveling. The faster you go, the more time seems to slow down, so that a person traveling on a very fast starship, for example, would experience a journey in two weeks that seemed to take 20 years to people left behind on Earth.

In this way, a person who wanted to travel to a period in the future need only board a fast enough vehicle to kill some time.

"That was a huge thing when Einstein realized the flow of time was not a constant thing," Farhi said.

However, this kind of manipulation only affects the rate at which time moves forward. No matter your speed, time will still progress toward the future, leaving scientists struggling to predict how one might travel to the past.

Some outlandish solutions to Einstein's equations do suggest that traveling backward in time might be possible, but to do so could require about half the mass of the universe in energy, and would likely destroy the universe in the process.

And even if science presented a method for backward time travel, there are troubling paradoxes involved.

"If you could go back in time, you could prevent your parents from getting together and making you," Farhi said. "I think some people might say it ends there."

Still, since physics doesn't forbid time travel in either direction, the door remains open for future solutions.

"I don't know of a definitive theorem that says it absolutely cannot happen, other than it leads to logical paradoxes and it can also cause the entire universe to collapse," Farhi said.

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Albert Einstein's 'God Letter' Is Expected To Sell For More Than $3 Million On eBay

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einstein-equations-chalkboardA letter handwritten by physicist Albert Einstein a year before his death, expressing his views on religion, will be sold on eBay this month with an opening bid of $3 million (£1.9m), an auction agency said

Known as the "God Letter," the correspondence offers insights into the private thoughts about religion, God and tribalism of one of the world's most brilliant minds.

"This letter, in my opinion, is really of historical and cultural significance as these are the personal and private thoughts of arguably the smartest man of the 20th century," said Eric Gazin, the president of Auction Cause, a Los Angeles-based premier auction agency, which will handle the sale on eBay.

"The letter was written near the end of his life, after a lifetime of learning and thought," he added.

Einstein wrote the letter in German on January 3, 1954, on Princeton University letterhead to philosopher Erik Gutkind after he read Gutkind's book "Choose Life: The Biblical Call to Revolt."

"The word God is for me nothing more than the expression and product of human weaknesses, the Bible a collection of honourable, but still primitive legends which are nevertheless pretty childish. No interpretation, no matter how subtle, can (for me) change this," wrote the German-born scientist, who in 1921 was awarded the Nobel Prize in Physics.

The anonymous seller of the letter, which will be auctioned with the original envelope, stamp and postmark, purchased it from Bloomsbury Auctions in London in 2008 for $404,000.

Since that time the letter has been stored in a temperature-controlled vault at a public institution.

Although the opening bid of the eBay auction is $3 million, Gazin, who handled previous high-profile online auctions, said he expects it will fetch double or triple that amount during the Oct 8-18 auction at www.einsteinletter.com

"eBay has the widest possible audience and it is so global and so accessible," he explained, adding that 10 years ago the last major Einstein letter sold for more than $2 million.

"We feel this is a reasonable starting price given the historic importance and the interest in Einstein," Gazin added.

Source: Reuters

SEE ALSO: The Stationery Of Einstein, Hitler, And Other Famous People >

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It May Be Possible To Travel Faster Than The Speed Of Light

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Although Einstein's theories suggest nothing can move faster than the speed of light, two scientists have extended his equations to show what would happen if faster-than-light travel were possible.

Despite an apparent prohibition on such travel by Einstein’s theory of special relativity, the scientists said the theory actually lends itself easily to a description of velocities that exceed the speed of light.

"We started thinking about it, and we think this is a very natural extension of Einstein's equations," said applied mathematician James Hill, who co-authored the new paper with his University of Adelaide, Australia, colleague Barry Cox. The paper was published Oct. 3 in the journal Proceedings of the Royal Society A: Mathematical and Physical Sciences.

Special relativity, proposed by Albert Einstein in 1905, showed how concepts like speed are all relative: A moving observer will measure the speed of an object to be different than a stationary observer will. Furthermore, relativity revealed the concept of time dilation, which says that the faster you go, the more time seems to slow down. Thus, the crew of a speeding spaceship might perceive their trip to another planet to take two weeks, while people left behind on Earth would observe their passage taking 20 years.

Yet special relativity breaks down if two people's relative velocity, the difference between their respective speeds, approaches the speed of light. Now, Hill and Cox have extended the theory to accommodate an infinite relative velocity. [Top 10 Implications of Faster-Than-Light Neutrinos]

Interestingly, neither the original Einstein equations, nor the new, extended theory can describe massive objects moving at the speed of light itself. Here, both sets of equations break down into mathematical singularities, where physical properties can't be defined.

"The actual business of going through the speed of light is not defined," Hill told LiveScience. "The theory we've come up with is simply for velocities greater than the speed of light."

In effect, the singularity divides the universe into two: a world where everything moves slower than the speed of light, and a world where everything moves faster. The laws of physics in these two realms could turn out to be quite different.

In some ways, the hidden world beyond the speed of light looks to be a strange one indeed. Hill and Cox's equations suggest, for example, that as a spaceship traveling at super-light speeds accelerated faster and faster, it would lose more and more mass, until at infinite velocity, its mass became zero.

"It's very suggestive that the whole game is different once you go faster than light," Hill said.

Despite the singularity, Hill is not ready to accept that the speed of light is an insurmountable wall. He compared it to crossing the sound barrier. Before Chuck Yeager became the first person to travel faster than the speed of sound in 1947, many experts questioned whether it could be done. Scientists worried that the plane would disintegrate, or the human body wouldn't survive. Neither turned out to be true.

Fears of crossing the light barrier may be similarly unfounded, Hill said.

"I think it's only a matter of time," he said. "Human ingenuity being what it is, it's going to happen, but maybe it will involve a transportation mechanism entirely different from anything presently envisaged."

Follow Clara Moskowitz on Twitter @ClaraMoskowitz or LiveScience @livescience. We're also on Facebook & Google+.

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Five Kids Who Are Smarter Than Albert Einstein

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Albert Einstein is one of history's brightest minds, but recently, two girls too young to drive both bested his alleged IQ score of 160.

The budding geniuses, ages 15 and 12 respectively, earned official IQ scores of 162, putting them in the top 1 percent of the population. (The average IQ is 100.)

But they're hardly the first youngsters to beat Einstein in the smarts department — at least on paper.

Here, a few notable kids who recently scored higher than Mr. Relativity:

1. Fabiola Mann
Age tested: 15
IQ score: 162
Fabiola, who was born in Goa, India, but currently lives in the U.K., recently begged her parents to pay the fee and let her take Mensa's IQ test. The 15-year-old "has a purple belt in karate and is now taking tae kwon do in school,"says Forbes. She enjoys the classic genius hobby of chess, plays the piano and guitar, and can sing as well. "Yes, she is a human being and not an Indian cyborg." 

2. Olivia Manning
Age tested: 12
IQ score: 162
"Everyone knew 12-year-old British schoolgirl Olivia Manning was smart,"says Madeline Holler at Babble. A quick learner, she required only 24 hours to learn all her lines for a performance of Macbeth. But even she was "surprised when the results of an IQ test came back," and she scored a 162 — higher than astrophysicist Stephen Hawking, Bill Gates, and yes, Einstein himself.

3. Jacob Barnett
Age tested: 12
IQ score: 170
At age 2, Jacob Barnett was diagnosed with a mild form of Asperger's. Turns out, he was just functioning at a higher level than everyone else. Jake, who appears to have an affinity for wearing caps backwards, is already taking advanced college math and astrophysics classes near his home in Indiana. As revealed during a 2011 appearance on Glenn Beck's Fox News show, Jacob would like to become a professor at a high-ranking college and make high-level math textbooks easier to understand.

4. Pranav Veera
Age tested: 6
IQ score: 176
When he took the test in 2009, this young resident of Loveland, Ohio, could recite the U.S. presidents in order, say the alphabet backward, and tell you the day of the week of any given date going back to the year 2000. He was also 6. Blessed with a photographic memory, Pranav says that one day he'd like to be an astronaut.

5. Victoria Cowie
Age tested: 11 
IQ score: 162
Victoria Cowie, another British schoolgirl, "isn't glued to her studies,"says her mother. "She loves drama and music and plays football too." But the young girl scored a whopping 162 on her IQ test in 2011, and has been offered scholarships from high-ranking secondary schools. When asked what she wants to be when she grows up, Victoria says she'd like to work with animals and become a vet.

SEE ALSO: The 16 Smartest People On Earth

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Einstein's Brain Holds Secrets Of His Extreme Intelligence

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A new analysis of photographs of Albert Einstein's brain has revealed special features that could be what gave him his amazing smarts.

The researchers compared 14 pictures of Einstein's brain to 85 brain scans from "normal" people.

"Although the overall size and asymmetrical shape of Einstein's brain were normal, the prefrontal, somatosensory, primary motor, parietal, temporal and occipital cortices were extraordinary," study researcher Dean, of Florida State University said in a statement. "These may have provided the neurological underpinnings for some of his visuospatial and mathematical abilities, for instance."

Falk's findings were published today Nov 16 in the journal Brain. Here are some of the images:Einstein's brain Einstein's brainEinstein's brain

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13 Of The Greatest Idea Hunters Ever

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Stop thinking so hard and start hunting for good ideas.

That's the message of The Idea Hunters, a 2011 book by Andy Boynton of the Carroll School of Management at Boston College and Bill Fischer of IMD in Switzerland.

The book discusses how luminaries from Steve Jobs to Warren Buffett were always looking for good ideas that they could buy, share, steal, or simply study.

As Jack Welch said: "Someone, somewhere, has a better idea."

Sam Walton

The Wal-Mart founder was relentless in conversation. Here's what retail consultant Kurt Barnard said of his first encounter with Sam Walton in 1967:

"When he meets you, he looks at you — head cocked to one side, forehead slightly creased — and he proceeds to extract every piece of information in your possession. He always makes little notes. And he pushes on and on ... After two and a half hours, he left, and I was totally drained. I wasn't sure what I had just met, but I was sure we would hear more from him."

He would even look for ideas in other people's stores. Walmart's former COO Don Soderquist describes the second time he met Walton:

"The next day was Saturday, and I went shopping, dressed in a pair of mangy cutoff jeans — at the Kmart near my house. I walked over into the apparel section and saw this guy talking to one of the clerks. I thought, 'Jeez, that looks like that guy I met yesterday. What the heck is he doing way out here?' I strolled up behind him, and I could hear him asking this clerk, 'Well, how frequently do you order? ... Uh-huh ... How much do you order?' ... He's writing everything she says down in a little blue spiral notebook. Then Sam gets down on his hands and knees and he's looking under this stack table, and he opens the sliding doors and says, 'How do you know how much you've got under here when you're placing that order?'

"Finally, I said, 'Sam Walton, is that you?' And he looked up from the floor and said, 'Oh, Don! Hi! What are you doing here?' I said, 'I'm shopping. What are you doing?' And he said, 'Oh, this is just part of the educational process. That's all.'"

Quotes were found in The Idea Hunter by Andy Boynton and Bill Fischer, unless otherwise specified.



Albert Einstein

The man who developed the general theory of relatively said of himself: "I have no special talents. I am only passionately curious."

In fact Albert Einstein delivered many great quotes on the importance of curiosity:

"Learning is not a product of schooling but the lifelong attempt to acquire it."

"It is a miracle that curiosity survives formal education."

"It is the supreme art of the teacher to awaken joy in creative expression and knowledge."

"There are only two ways to live your life: as though nothing is a miracle, or as though everything is a miracle."

More here.

Quotes were found in The Idea Hunter by Andy Boynton and Bill Fischer, unless otherwise specified.



Scott Cook

Intuit founder Scott Cook came up with Quicken after listening to his wife complain about paying bills and balancing the checkbook.

The software entrepreneur lived for these kind of insights. Here's how he was described by writer Michael S. Hopkins:

"Listening, he seems to forget himself. He seems composed of pure curiosity. He's like a man who always expects that the next thing someone — anyone — tells him might be the most surprising and enlightening thing he's heard. He listens without blinking. He learns."

Quotes were found in The Idea Hunter by Andy Boynton and Bill Fischer, unless otherwise specified.



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Everything You Ever Wanted To Know About Albert Einstein

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Albert Einstein

Albert Einstein was one of the greatest minds of all time. He profoundly changed the way we look at space and time. But else do we know about the great scientist?

Kara Kovalchik of Mental Floss takes a look back at Einstein's life, uncovering some lesser-known details about the German-born genius' life.  

Did Einstein show any signs of future greatness as an infant?

His first impression wasn't one of fame, no. Born in Ulm, Germany, on March 14, 1879, Albert was the first child of Pauline and Hermann Einstein. And to say the couple was less than impressed with their newborn son would be an understatement; they thought his head was grotesquely oversized.

His parents described Albert to the delivering physician as a "monstrosity". The doctor convinced them that all infant heads appeared larger than normal and that Albert's body would grow to become more proportionate to his cranium.

Of course, once that happened, his grandmother clucked over him and complained to his parents that the boy was "much too fat!"



Was he really a slow learner?

Yes and no. The youngster didn't start to speak until he was two-years-old, but when he did chatter, he skipped all that "mama, dada" bunk and started off using full sentences.

In 1881, Albert's parents presented him with a new little sister, Maria (called "Maja" by family and friends). When two-year-old Albert saw her for the first time, he presumed that she was some sort of toy, and asked "Where does it have its small wheels?"

Despite his original skepticism, Maja and Albert soon became best friends.



Did Einstein suffer from a neurological disorder?

Einstein's primary-school teachers reported that the child had a powerful and lingering distaste of authority. Coupled with his late-developing speech, some medical professionals have suggested this behavior as symptomatic of either autism or Asperger's Syndrome.

Throughout his childhood and adult life, however, Albert did not exhibit any other behavior that would have been typical of such a diagnosis.

He had no difficulty communicating with others, for example. He also demonstrated the emotional capacity to develop both close friendships and passionate relationships.



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5 Famous Scientists Who Started Their Work As Teens

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Not all of history’s most significant scientists were college graduates when they began their works. In fact, history is full of scientists who have shaped the world due to their work as teenagers.

If they were disregarded simply because of their age, many things we take for granted today may not exist.

Through their own determination and thirst for knowledge, these teenagers impacted the world far greater than they would realize long after their deaths.

1. Isaac Newton

During Newton’s formative years, it was common place for the young man to develop various devices while attending school. His devotion to studies and high marks in school were impressive to many.

Although his mother attempted to make a farmer of him by removing young Isaac from school, the schoolmaster and his uncle suggested to his mother that he return to school to finish his education.

Isaac Newton attended Cambridge University upon finishing school in 1661. He developed a variety of scientific methods and discoveries including those in optics and colors.



2. Albert Einstein

In his younger years, Albert Einstein had always shown a great interest in mathematics and science. Einstein attended the Swiss Federal Polytechnic examinations in Zurich.

Although his scores were below standard in many of the required subjects, his mathematics and physics skills were exceptionally high.

From there, Albert Einstein attended Aargau Cantonal School in Aarau, Switzerland where he graduated with passing grades in some subjects and receiving the highest grade scale possible in mathematics and physics.

His theories have laid the ground work for many scientists of today and is most notable for the Theory of Relativity.



3. Galileo Galilei

While at the University of Pisa studying for a medical degree at the age of 17, Galileo Galilei became enthralled with how movements of air currents could cause a chandelier to sway in a rhythmic pattern.

Setting up a set of differentiating pendulums, Galileo discovered that regardless of the size difference the pendulums kept time with each other.

The young man changed his degree from medical sciences to mathematics after attending a lecture on geometry. A the age of 22, Galileo published a book on the design of a hydrostatic balance he had invented.



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The 11 Most Beautiful Math Equations

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Mathematical equations aren't just useful — many are quite beautiful. And many scientists admit they are often fond of particular formulas not just for their function, but for their form, and the simple, poetic truths they contain.

While certain famous equations, such as Albert Einstein's E = mc^2, hog most of the public glory, many less familiar formulas have their champions among scientists.

LiveScience asked physicists, astronomers and mathematicians for their favorite equations; here's what we found:

General relativity

The equation to the right was formulated by Einstein as part of his groundbreaking general theory of relativity in 1915. The theory revolutionized how scientists understood gravity by describing the force as a warping of the fabric of space and time.

"It is still amazing to me that one such mathematical equation can describe what space-time is all about," said Space Telescope Science Institute astrophysicist Mario Livio, who nominated the equation as his favorite. "All of Einstein's true genius is embodied in this equation." [Einstein Quiz: Test Your Knowledge of the Genius]

"The right-hand side of this equation describes the energy contents of our universe (including the 'dark energy' that propels the current cosmic acceleration)," Livio explained. "The left-hand side describes the geometry of space-time. The equality reflects the fact that in Einstein's general relativity, mass and energy determine the geometry, and concomitantly the curvature, which is a manifestation of what we call gravity." [6 Weird Facts About Gravity]

"It's a very elegant equation," said Kyle Cranmer, a physicist at New York University, adding that the equation reveals the relationship between space-time and matter and energy. "This equation tells you how they are related — how the presence of the sun warps space-time so that the Earth moves around it in orbit, etc. It also tells you how the universe evolved since the Big Bang and predicts that there should be black holes."



Standard model

Another of physics' reigning theories, the standard model describes the collection of fundamental particles currently thought to make up our universe.

The theory can be encapsulated in a main equation called the standard model Lagrangian (named after the 18th-century French mathematician and astronomer Joseph Louis Lagrange), which was chosen by theoretical physicist Lance Dixon of the SLAC National Accelerator Laboratory in California as his favorite formula.

"It has successfully described all elementary particles and forces that we've observed in the laboratory to date — except gravity," Dixon told LiveScience. "That includes, of course, the recently discovered Higgs(like) boson, phi in the formula. It is fully self-consistent with quantum mechanics and special relativity."

The standard model theory has not yet, however, been united with general relativity, which is why it cannot describe gravity. [Infographic: The Standard Model Explained]



Calculus

While the first two equations describe particular aspects of our universe, another favorite equation can be applied to all manner of situations. The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus, and links its two main ideas, the concept of the integral and the concept of the derivative.

"In simple words, [it] says that the net change of a smooth and continuous quantity, such as a distance travelled, over a given time interval (i.e. the difference in the values of the quantity at the end points of the time interval) is equal to the integral of the rate of change of that quantity, i.e. the integral of the velocity," said Melkana Brakalova-Trevithick, chair of the math department at Fordham University, who chose this equation as her favorite. "The fundamental theorem of calculus (FTC) allows us to determine the net change over an interval based on the rate of change over the entire interval."

The seeds of calculus began in ancient times, but much of it was put together in the 17th century by Isaac Newton, who used calculus to describe the motions of the planets around the sun.



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Astronomy Study Once Again Proves Albert Einstein's Genius

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hubble wilson sn distantA pair of stars orbiting each other nearly 7,000 light years from Earth have provided more evidence that Albert Einstein's theory of general relatively is correct.

Astronomers measured bursts of energy from a neutron star which is being orbited by a smaller white dwarf star.

The gravity created by the neutron star, which is a super dense spinning pulsar, created a wrinkle in the fabric of space time in a way predicted by Einstein in his famous theory in 1915.

The neutron star, which is just 12 miles across but weights twice as much as our own sun, has gravity that is 300 billion times stronger than that felt on the surface of Earth.

At the centre of this star, a billion tonnes of matter would be squeezed into an areas the size of a sugar cube.

This enormous gravitational force should create a distortion in space-time according to Einstein's theory.

As the white dwarf – a glowing remnant of another dead star – orbits the neutron star they should create wrinkles that move out in space time known as gravitational waves.

Over time this causes the two stars to move closer together as these wrinkles send energy out into space.

Astronomers on Earth were able to use a global network of telescopes to measure this by timing radio bursts emitted from the neutron star, also known as a pulsar, over time.

"We thought this system might be extreme enough to show a breakdown in General Relativity, but instead, Einstein's predictions held up quite well," said Dr Paulo Freire, from the Max Planck Institute for Radioastronomy in Germany.

Einstein’s general theory of relativity, which explains gravity as a consequence of the curvature of space-time created by the presence of mass and energy, has withstood all tests since it was first published almost a century ago.

Physicists, however, believe it cannot explain all of the effects seen in the universe as it is not compatible with quantum theory, which is used to explain the forces that hold atoms and subatomic particles together.

Instead they have come up with other theories of gravity that they believe can be spotted in extremely strong gravitational fields that are too large to be found in our own solar system – much like the one they were observing.

Although the findings, which are published in the journal Science, failed to reveal any breakdown in Einstein's theory, they have raised hopes that researchers might be able to directly detect gravitational waves.

“Our radio observations were so precise that we have already been able to measure a change in the orbital period of 8 millionths of a second per year, exactly what Einstein’s theory predicts,” states Paulo Freire, another member of the international team that carried out the study.

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The Greatest Blunders Of Genius Scientists

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Albert Einstein

Even geniuses make mistakes, and sometimes those mistakes turn out to be genius in their own right, helping to illuminate some underlying mystery or impacting the way an entire field thinks.

In celebration of happy accidents and enlightening errors, astrophysicist Mario Livio of the Space Telescope Science Institute in Baltimore, Md., tells the stories of five great scientific mistakes in his new book "Brilliant Blunders" (Simon & Schuster, May 14, 2013). These stories serve to show how even the smartest among us can err, and that in fact to achieve a big breakthrough, big risks are necessary, which sometimes also involve big failures.

Below are Livio's choices for the most brilliant scientific blunders. [Oops! 5 Retracted Science Studies]

Darwin's notion of heredity

Charles Darwin achieved an amazing feat when he came up with his theory of natural selection in 1859.

"Darwin was an incredible genius," Livio told LiveScience. "His idea of evolution by natural selection is just mind-boggling — how he came up with something so all-encompassing as that. Plus Darwin really didn't know any mathematics so his theory is entirely non mathematical."

This feat is even more incredible given the notion of heredity how traits are passed from parents to offspring) that Darwin and scientists of the time subscribed to would have made natural selection impossible. At the time, people thought the characteristics of the mother and the father simply get blended in the offspring just as a can of black paint and a can of white paint blend to create gray when combined.

Darwin's error was in not recognizing the conflict between this idea and his new theory. "If you introduce one black cat into a million white cats, the theory of blending heredity would just dilute the black color away completely. There's no way you would ever end up with black cats," Livio said. "Darwin didn't understand this, he really didn't catch this point."

It wasn't until the concept of Mendelian inheritance was widely accepted and understood in the early 1900s that the puzzle pieces of natural selection fell into place. Gregor Mendel proposed correctly that when traits from two parents come together, rather than blending, one or the other is expressed.

"As it turned out, Mendelian genetics worked precisely to solve this problem. In Mendelian genetics you mix more like you're mixing two decks of cards, where each card retains its identity — not like paint," Livio said.

Kelvin's Earth age estimate

In the 19th century, Sir William Thomson, Lord Kelvin, was the first person to use physics to calculate the ages of the Earth and sun. Though he estimated these bodies were about 50 times younger than we now think they are, the calculations themselves were breakthroughs. [50 Amazing Facts About Planet Earth]

Lord Kelvin based his calculation on the idea that Earth began as a hot, molten ball, and has slowly cooled over time. He attempted to calculate how long it would have taken for our planet to get to its current temperature gradient. His numbers were off partly because scientists had not yet discovered radioactivity, so he couldn't include it in his calculation. Radioactive elements in Earth, such as uranium and thorium, are an additional source of heating inside our planet.

But Livio says this wasn't Kelvin's biggest blunder — even if he had included radioactivity, his Earth age estimate would have remained nearly the same. Rather, Kelvin made the larger mistake of ignoring the possibility that unknown mechanisms might have transported heat throughout Earth.

"He assumed that heat is transported with precisely the same efficiency throughout the entire depth of the Earth," Livio said. Even after others suggested that heat could be transported more efficiently deep inside Earth, Lord Kelvin dismissed the possibility. "Kelvin was used to being right far too many times. It was pointed out to him but he never really accepted it."

Pauling's triple helix

Francis Crick and James D. Watson are famous for discovering the double helix structure of DNA in 1953, but chemist Linus Pauling also proposed his own idea for the structure of DNA that same year.

"Pauling was arguably maybe even the greatest chemist to ever have been," Livio said. "He won the Nobel Prize twice, just by himself." But brilliant as he was, Pauling rushed to publish his DNA theory, which turned out to be fatally flawed. Instead of the double strands twining in a helix that scientists now know to make up molecules of DNA, Pauling theorized three intertwined strands.

In part, Livio said, Pauling was overly confident because of his previous success in deducing a structure model for proteins. "His model was built inside out compared to the correct model and had three strands inside it instead of two," Livio said. "It wasn't a double helix, it was a triple helix. He fell to a large extent victim to his own success." [Image Gallery: Francis Crick Explains DNA to 12-Year-Old]

Hoyle's Big Bang

Twentieth-century astrophysicist Fred Hoyle was one of the authors of the popular "steady state" model of the universe, which suggested the universe is in the same state as it always has been and always will be. Because scientists knew the universe is expanding, the theory required the continuous creation of new matter in the universe to keep its density and state constant.

When Hoyle learned of a conflicting theory that suggested the universe began in a single, powerful event, he dubbed it "the Big Bang," and dismissed the idea, remaining loyal to the steady state model.

"It was a beautiful principle and for about 15 years or so it was very difficult to distinguish between this model and the Big Bang model," Livio said. "So his blunder was not really in proposing this model. His blunder was that once the accumulated evidence against this model became overwhelming, he didn't accept this. He just kept trying to invent ways to keep the steady state model."

Hoyle never did relent, even while the rest of the physics community eventually came to embrace the Big Bang theory.

Einstein's cosmological constant

Albert Einstein, unquestionably one of the greatest minds in history, wasn't immune to error either. His equations describing how gravity works in his general theory of relativity, published in 1916, were a tour de force, though he did make a significant mistake.

Among the terms in the equations was one Einstein called the cosmological constant, which he introduced because he thought the universe was static. The cosmological constant achieved a static universe by counteracting the inward pull of gravity. Later, when astronomers discovered the universe is actually expanding, Einstein regretted including the constant and removed it from his equations.

Legend has it Einstein called the creation of the cosmological constant his "greatest blunder" (though Livio thinks he never actually used the term). But in fact, Einstein's real mistake was taking the constant out, Livio said.

In 1998, after Einstein's death, it was discovered that not only is the universe expanding, but this expansion is accelerating over time. To explain why that's happening, scientists have reintroduced the cosmological constant to the general relativity equations.

"His real blunder was to take it out, not to keep it in," Livio said. "The theory allowed him to put it in. We've since learned that everything the theory allows appears to be compulsory."

Follow Clara Moskowitz on Twitterand Google+. Follow us @livescience, Facebook& Google+. Original article on LiveScience.com.

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Three Stories About Steve Jobs, Einstein, And Ben Franklin Prove That Creative Beats Smart

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Walter Isaacson

There are few commencement speeches that last beyond the day they're given.

One is Steve Jobs' 2005 address to Stanford's graduating class, where he famously used three stories to memorably define his life. 

Jobs' biographer Walter Isaacson used the same format in his Sunday commencement speech at Pomona College. He spoke about Jobs and his other most recent biography subjects, Benjamin Franklin and Albert Einstein, to drive home an incredibly important lesson.

"You are officially credentialed as smart," Isaacson told graduates. "That's the good news. The bad news, as you'll learn, is that smart people are a dime a dozen, and they usually don't amount to much."

Using one of the phrases most associated with Jobs, Isaacson argued that it's something other than smarts that defines the most successful people.

"What really matters is those who are creative, those who are imaginative, those like Steve Jobs, who can think different," he said.

Italics are quotes from Isaacson's speech.

Steve Jobs

"When he was 6 he and his father built a fence around the backyard of their house. And his father told him, 'We have to make the back of the fence just as beautiful as the front.' Steve said 'Why? Nobody will ever see it; nobody will ever know.' His father, who was an auto mechanic and high school dropout said 'Yes, Steve, but you will know.' People that really care about making things great even care about the parts unseen."

That carried through to the first Mac, when Steve Jobs insisted that even the circuit board inside be beautiful, despite the fact that nobody would see it. It was the passion to make things perfectly that helped him develop his famous "reality distortion field."

The creativity and drive of that mindset — that by sheer will he could, as Isaacson described it "bend the laws of physics, even bend the laws of human nature"— led him to create some of the things he's remembered for.

"He would do it over and over again by being passionate. Not about making a profit, because he said if you're passionate about making a profit sometimes you cut corners. But if you are passionate about making a product or service, or are passionate about what you are doing, eventually the profits will follow because you will make things of value."

So we got the Mac, the iPhone, and other genre-defining products; all things that Jobs pushed into reality because he had the will, passion, and creativity, not because he was smarter than everybody else.

Albert Einstein

"Us biographers, we always try to find that 'Rosebud,' that creation myth in childhood. For Einstein it was getting a compass. His father gave him a compass when he was 6 or 7 years old and he watched as the needle twitched and pointed north, And he becomes totally mesmerized by this. The needle ... nothing's touching it. Why is a physical object moving like that when nothing physical is touching it? And he spent years, his whole life, worrying about why does that work.

"Now you and I probably remember getting a compass when we were 6 or 7 and saying, 'Oh wow, look, it points north,' and about 90 seconds later we're on to, 'Oh look, a dead squirrel!' and we're on to something else. On his death bed he was still writing equations ... trying to figure out why that needle points north."

At 17, Einstein learned Maxwell's equations, which state that light travels at a constant speed regardless of how fast you're traveling. Einstein envisioned what would happen if he caught up with a light beam at the same speed and rode along side it. Wouldn't it appear stationary? Maxwell's equations didn't allow for that.

Einstein wasn't considered the smartest guy around in those days. He couldn't get his dissertation accepted, or even get a job teaching high school. But the fact that he constantly worried about that question — prodded at it with his imagination — led to one of the great breakthroughs of scientific history.

While puzzling over the signals going between synchronizing clocks, he had a moment.

"Then he realizes, with just a leap of the imagination, not a leap of mental processing power, a leap of the imagination and a willingness to think different and challenge the conventional wisdom, because every other physicist of that time knew what Newton had told them at the very beginning of the 'Principia': that time marches along second by second irrespective of how we observe it.

"And you've got this patent clerk saying, 'How do we know that? What if we caught up with the light wave?'"

Light is a constant. Time is relative. That's the core of the special theory of relativity, which upended science. "All because he thought different, he had that leap of the imagination," Isaacson said.

Ben Franklin

"Ben Franklin had that passionate curiosity," Isaacson said, "but he also had a sense of tolerance, which I think is the real lesson learned in childhood."

After running away from home as a young man, Franklin went to Philadelphia. While there, he created a club, the Leather Apron Club, for the shopkeepers and artisans, the middle class people whom he wanted to found a nation on, which listed the values that they ought to have; things like industry, honesty, and frugality.

"Being a geek, (Franklin) marks them on a chart and marks every week how well he does on each of those virtues until he could master them.

"Then he shows them around to the people in his club that he has mastered all 12 of those virtues. And one of the members says to him, 'Franklin, you've forgotten a virtue you might want to practice.' And Franklin says, 'What's that?' and the friend says, 'Humility. 'You might try that for a change.'

"Franklin said that 'I was never very good at the virtue of humility, I never mastered it, but I was very good at the pretense of humility, I could fake it very well.'

"Here's his great insight, He said, 'I learned that the pretense of humility was just as useful as the reality, it made you listen to the person next to you, made you try to find that common ground that was the essence of the middle class democracy that we were trying to found.'

"For the rest of his life, he was the person amongst all of the founders who worked to bring people together."

At the Constitutional Convention, Franklin was 82, and they were tearing themselves apart over the big state little state issue. He told everybody that the lesson that he learned as the oldest man there was that we're fallible.

He made the argument that while compromisers didn't make great heroes, they made great democracies. That the diversity of our opinions will lead to a common ground better than our original opinion.

Each state had to part with some of their demands. Eventually, Franklin made the motion to have a House and the Senate, creating the compromise that's held our union together. That compromise was a culmination of a life spent listening to other people.

Isaacson wrapped up with what all three men had in common:

"Let me say that they all had something more than these three little tales, these three little traits. They all had something they shared. They all realized that they were part of something larger than themselves.

"All over the country right now people of my generation — the baby boomer generation giving graduation speeches — are probably saying the same thing, which is, follow your passion wherever it leads you.

"I'm going to tell you something different. It ain't about your passion, it's about being a part of something larger than yourself. It's about connecting to your passion, to what's engraved on those gates, that you will go forth and give benefit to mankind. That you will go forth and be good.

"Because at the end of your days when you look back — when you come back for your 50th — your family — kids, grandkids — the people you graduated with, come back with you. It's not just about saying how successful you were, how many toys or trinkets or how much power you accumulated, it's about what you created, about what you did to make the world a slightly better place because you were here."

At the end of his life, Ben Franklin was led to his grave by every Minister and Priest in Philadelphia as well as the Rabbi of a Jewish synagogue because he had donated money to every one of them.

Albert Einstein, on his death bed, wrote nine pages of equations trying to create a unified field theory, to answer the question of why the needle of a compass twitches, trying to write "one last line that he thought would get us one step closer to what he called 'the spirit manifest in the laws of the universe,'" Isaacson said.

And Steve Jobs, when asked by Isaacson what his legacy would be, said that life is like a flow that we get to take great things out of. Things people have invented, ideas or theories they've come up with, and so on. But your legacy is what you put into it, not how much you manage to take out of it.

"When you leave here, read that gate," Isaacson said, "and make sure that you, too, both follow your passion but connect that passion to something greater."

Disclosure: The author went to Pomona. Go Sagehens!

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On This Day In 1939, Einstein Told President Roosevelt To Build A Nuke Before Hitler

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Einstein Roosevelt letter

74 years ago today, in 1939, Albert Einstein wrote a remarkable letter to President Franklin D. Roosevelt about the need for the United States to compete with Germany in developing nuclear technology.

In it, Einstein highlights recent experiments in uranium. 

"It is conceivable — though much less certain — that extremely powerful bombs of a new type may thus be constructed," he wrote.

Einstein encourages Roosevelt to strengthen communication "between the Administration and the group of physicists working on chain reactions in America."

Of course, the United States beat Germany, and the rest of the world, in acquiring nuclear weaponry, and went on to wield the atomic bomb against the Japanese cities of Hiroshima and Nagasaki.

Notably, the only country ever to do so in battle.

SEE ALSO: This Scary Interactive Map Shows What Happens If A Nuke Explodes In Your Neighborhood

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11-Year-Old British Girl Has A Higher IQ Than Einstein

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Cerys Cooksammy-Parnell IQEinstein has been outdone by an 11-year-old British girl by the name of Cerys Cooksammy-Parnell, whose IQ score outstrips the famous scientist and makes her one of the brightest in the nation, according to Britain's Express

Cerys, who is from Northampton, got a score of 162 on the Cattell B scale of the Mensa IQ test. Mensa is an elite high-IQ institution, and 162 is the top score in Britain, making her smarter than people like Stephen Hawking and Einstein, according to ITN News.

At the moment, though, she thinks her IQ score is (sorry, Einstein) relatively inconsequential.

“At 11, I do not have many intellectual discussions with my friends and to be honest there is more to a person than their IQ,” she told the Express. “Perhaps when I am really old and past 20 years of age I will have more intellectual conversations where my IQ will assist,” but until then, “my focus will be on fashion, fun and getting good grades.”

After all, she only took the test to try and beat her Dad's 142 score but “didn’t expect to beat him by such a huge margin,” she told the Express(Ouch, Dad.)

“I am not sure if this score is a good thing or a bad thing, as I know she will be questioning everything I tell her to do,” her father said, according to the Daily Star, adding: “We are a bit blown away.”

Cerys said one of her big dreams is to become the governor of the Bank of England, telling the Express: “I like working with numbers.”

Cerys will start secondary school in September. The earliest age one can reportedly take the Mensa in Britain is 10-and-a-half. The society has invited her to join its youth program, according to the Daily Star.

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Newly Discovered Photographs Of Einstein's Brain Reveal Possible Source Of His Genius

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einsteins brain

More than half a century after his death, we're still searching for the secrets of Albert Einstein's genius. Almost immediately after he died in 1955, the famed physicist's brain was removed from his head, dissected and photographed for study by pathologist Thomas Harvey, who performed the autopsy. Harvey probably didn't have legal permission to remove the brain and preserve it, much less keep it stored in jars in his basement, as he reportedly did for decades, but he did manage to pave the way for scientists to investigate what makes a genius brain tick.

For a new study, researchers from the East China Normal University in Shanghai and Florida State University looked at 14 recently discovered photographs of Einstein's brain. They compared his corpus callosum— the band of fibers that connects the right and the left hemispheres of the brain — with those of ordinary individuals. Einstein died as a 76-year-old, so the researchers compared the photographs of his brain with fMRI data of the brains of 15 men between 70 and 80 years old (right-handed, like Einstein). They also looked at the brains of 52 men between 24 and 30 years old, an age when most people's brains have reached their max weight, and about the age Einstein was during his "miracle year."

Einstein's corpus callosum, they found, was thicker in many subregions than the corpus callousoms of the elderly controls, and thicker in a few subregions than the young controls, which suggests he may have had enhanced connectivity between regions of his brain. Perhaps a small clue to his intellectual prowess? The authors write:

Although the intelligence of human beings cannot be fully explained by regional cortical volumes, our findings suggest that Einstein’s extraordinary cognition was related not only to his unique cortical structure and cytoarchitectonics, but also involved enhanced communication routes between at least some parts of his two cerebral hemispheres.

Other studies have suggested Einstein's, well, Einstein-iness may have been the result of an unusually high number of brain cells known as glial cells, which surround neurons. This is the first study to look at the genius's corpus callosum. However, the current study does compare pictures of a dead, preserved brain with MRIs of live, working brains, so there may be some limitations in the data. But the authors note that because of the resolution of the MRI, the scans might show the corpus callosum in the control brains as being slightly thicker than it is in real life. Einstein's brain tissue might have shrunk a little during preservation, too, so there's a possiblity the differences could have been even more stark.

The study appears in Brain.

SEE ALSO: 24 'Geniuses' Just Won $625,000 To Spend However They Want

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