but kepler's hypothesis was actually open for almost 300-400 years and was solved by thomas hales atd of the 20th century, a problem that i solved i cried solved a similar problem, but in the dimensions 8:24, i.e., 8 e. this means exactly what the dimensions are. measurements is such an interesting question because for people who study mathematics it is a question it is quite simple and real and for a person who does not have such experience it is quite difficult to imagine and here i can say that if we are sitting with you in this room that in this each point in the room has exactly three coordinates, that is, the distance from that wall, the distance from that wall, and also the height to the floor, that is, three, three numbers. and that is why we say that this room has three dimensions. but as mathematicians, we can to imagine abstractly that we can consider not only three coordinates but eight coordinates, and here it is such a complicated thing that there is no need to try to imagine it, it is very, very dangerous, a direct path to a black hole, well, there is no technique, it

this is one of the most important is thomas hales complete body of husbandry, and he not only brings these books into his library and takes extensive notes, but we can i'm very specifically trace experiments that he undertakes changes in cultivation that he undertakes. two and after he receives this and other books, he develops one of the largest libraries of practical british treatises in in virginia at the time and he learns about a practical agriculture through these but also learns about a whole culture of farming that was um promoted by a new type of gentleman self-profess gentleman farmer in great britain as the frontest piece on our right side illustrates, um, these gentlemen farmers often connected their efforts with the great agriculturalists of antiquity people like virtually sinny they often presented there improvements as a kind of civic even patriotic service that they were undertaking experiments that would lead common farmers to improve their land and washington found in this cultural farmer a new role for the virginia planter that the virginia planter could be and tak

ah, thomas put on his jaw for hale, thank you very much. ukrainian boxer alexandro sick says the people of his country or motivate him to beat anthony joshua as the heavyweight champion proposed to step into the ring against his british opponent in saudi arabia. the fighters weighed in for their title. we match and the stare down last longer than some fights as david stokes reports, or exam. oh, all the top preflight. it's been about how big alexander you seek is looked in training. but when he stepped on to the scales, he weighed virtually the same as he did when he beat antony joshua in london last year, 10100. no, much change for joshua either. the brit is booked up a bit, but only by around 2 kilograms. the way it didn't last long, but the stair down certainly did with neither 40 to flinching for a 100 and 72nd. oh good. it was going through your mind as you looked into his eyes . no, much to the face of always safe with me personally face of thought me 9. does about the bell ringing enough where i never really face off that when flight does ready for tall rouse, 100 percent, 100 pe