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45. Show in the context of the video-text "a Beautiful Mind" and other examples of the difference of genius and talent in science.

Genius, as it was said in the movie "Mind Games", is born "with two portions of brains and one half heart". In other words, genius is the highest stage of development of the intellect and the lowest stage of efficiency. While talent - on the contrary, the highest stage of efficiency and the lowest stage of development of the human intellect.

It's no accident that most of the talents do not study well, but they work well and decently earn. While geniuses open new theories, create brilliant works of art, but acquire disability as a result of their insanity, get a pension and actually can not work.

Crazy genius is given to create only one brilliant work of art or to open one ingenious scientific theory. This occurs in the initial stage of the disease. It is the disease that promotes the manifestation of genius.

At the same time, it is wrong to call all geniuses insane. There are among them and mentally healthy, and there are many of them (for example, in the modern world it's Hans Zimmer, John Williams, Ennio Morricone). And unlike crazy geniuses, they are not limited by the amount of brilliant scientific discoveries or ingenious works of art, so it's easier for them to leave their name in history than to be crazy.

It is also wrong to say that a talented person is talented in everything. Usually talent manifests itself in areas adjacent to the main activity. Since both talent and genius are deviations from the norm, talents often also have health problems. The most famous examples of ill talents: Michael Jackson (several times he performed plastic surgery), Vladimir Vysotsky had kidney and heart problems, one of the Wachowski brothers changed the sex.

Genius creates with the mind, and talent with the heart. Most geniuses are altruists. Most talents are selfish. The speed of work of a genius is many times greater than the speed of talent. Talent is often inherited. While genius is not inherited forever. Talent is able to create a masterpiece of its time, while geniuses create masterpieces outside of time.

Thus, one should not confuse genius with talent. Talent is not part of genius, and the more so it is not the same thing.

The big difference in my opinion is work ethic. Talent is something you are born with. It comes naturally and you have it from day one. You do not have to work for it and it can only take you so far.

Genius on the other hand is something that you become. It takes hard work and dedication. While there are a lot of talented people in the world, few of them are genius because of their lack of work ethic. Geniuses aren't afraid of mistakes and they don't even flinch at the possibility of failure. And I think that John Nash is genius, like in the movie said: “a genius knows the answer before the question”.

46. Make a glossary of basic scientific ideas and concepts in videotext "Interstellar"

A wormhole or "Einstein-Rosen bridge" is a hypothetical topological feature that would fundamentally be a shortcut connecting two separate points in spacetime. A wormhole may connect extremely long distances such as a billion light years or more, short distances such as a few feet, different universes, and different points in time. A wormhole is much like a tunnel with two ends, each at separate points in spacetime.

A black hole is a region of spacetime exhibiting such strong gravitational effects that nothing—not even particles and electromagnetic radiation such as light—can escape from inside it.The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole.The boundary of the region from which no escape is possible is called the event horizon

The ergosphere is a region located outside a rotating black hole. The Doppler effect (or the Doppler shift) is the change in frequency or wavelength of a wave (or other periodic event) for an observer moving relative to its source. An accretion disk is a structure (often a circumstellar disk) formed by diffused material in orbital motion around a massive central body.

A gravitational lens is a distribution of matter (such as a cluster of galaxies) between a distant light source and an observer, that is capable of bending the light from the source as the light travels towards the observer. This effect is known as gravitational lensing, and the amount of bending is one of the predictions of Albert Einstein's general theory of relativity.(Classical physics also predicts the bending of light, but only half that predicted by general relativity).