Artificial intelligence has broken a 50-year-old record in mathematics.

Multiplication of two 4x4 matrices usually consists of 64 steps. Volker Strassen in 1969 came up with an algorithm that reduces the number of steps to 49. The AlphaTensor neural network from DeepMind found a way to reduce the number of steps to 47. And in 5x5 matrix multiplication, the neural network reduced the number of steps from 98 to 95. Considering that this is one of the most popular operations in modern computers, video cards and other devices will soon become a little faster.

Women are better than men at crossword puzzles and playing scrabble.

Indicators of verbal fluency and verbal episodic memory are higher in women than in men. This means that they quickly recall and select words, especially those starting with a particular letter. Therefore, women are better at solving crossword puzzles and playing scrabble. These conclusions were reached by Norwegian scientists after a meta-analysis of 168 studies over the past 50 years, in which a total of 350,000 people participated.

Queen released an unreleased single in 1989.

The musicians of the Queen group released a single with the real vocals of Freddie Mercury - Face It Alone ("Face it alone"). The song was recorded while working on the 1989 album The Miracle. After 30 years, it was restored in the studio with the help of modern technology. The composition was rediscovered by the band's archivists, who studied old recordings while working on the reissue of The Miracle. The musicians called Face It Alone "a little gem from Freddie".

Endangered penguins get rid of their firstborn for the survival of the species.

Scientists have figured out why endangered two-egg-laying crested penguins drop the first and only hatch the second, which emerges about five days later. It turned out to be a strategy for the survival of the species. The first egg is formed in the body of the female when she is still heading to the nesting sites by sea, so it is small. The second is already on dry land. It is larger, which means that the chick hatched from it is more likely to survive.

Which indoor plants suit your zodiac sign. Scorpio.

The most favorable for Scorpios are plants that require careful care and are rather capricious. Of course, if the representatives of this stinging sign can provide this very care for their faunal friends. It can be, for example, a ragwort, camellia, azalea or monstera.

Which signs fall in love once and for all, and which - five times a day. 4th place - Leo.

Lions almost made it to the top three - very boring, to be honest, men: they just fall in love and love for a long time. Not always only one woman all my life, but always sincerely and never - several at once. What a longing, there is nothing to even write. We won't give them a medal, that's what.

4 men of the zodiac who are difficult to incite to cheat. Taurus man.

As soon as the faithful Taurus man leaves for the dacha with his mother, his phone literally begins to burst from endless calls and messages from friends who call to rush off into the night in the company of beautiful nymphs. But for Taurus, all these "enticements" mean absolutely nothing - he is busy with much more important things. Just an hour ago, he finished the general cleaning and is going to bake her favorite cake for the return of her beloved. Yes, yes, do not be surprised, a man born under the sign of Taurus will not cheat on his woman.

Why do fire signs of the zodiac break up. Leo.

Leo - is there nobility in parting? Leo tries to emphasize his superiority and greatness - it is difficult for him to agree even to equality in relations, and he will definitely not obey. But even a weak, supple partner will quickly get bored. "Cleaning, washing, cooking - your duty!" - Leo growls, and if a loved one is silent, then the representative of Fire will continue to replenish the list of duties, providing himself with a royal existence. Loss of respect for a spouse is not the only reason Leo leaves, there are others. Public humiliation, disdain. Try not to laugh at the joke of the Leo wife or admire the figure of her friend - behind the cold smile of the Lioness, not only the thirst for revenge and hurt pride will be hidden, but also the cause of further problems in the relationship. Criticism. “You don’t earn much!”, “You don’t pay attention to the child” - these phrases will not make Leo become better, but rather cause the opposite effect. It is hard for him to admit his inadequacy. If he feels like a failure, he will rather change his environment than change his "ideal" self.

Men, take note.

Did you know that girls tend to have sex with more brutal, hard-working men? Do not forget to be strong and courageous with her.

Breast massage.

Most women like it if other parts of the body are massaged first, and then they move on to the bust. Because when a woman is sufficiently excited, her breasts swell a little and become even more sensitive. No need to make sharp and rough movements. You must be sensual and tender. Use creams and massage oils.

Daily horoscope October 16th.

Capricorn♑️ Start the day with things that don't require a lot of effort. By quickly dealing with them, you can move on to something more serious. In the morning it is better to rely on your own strength. It is unlikely that you will be able to quickly agree with someone on joint actions. There may be minor disagreements, disputes over trifles. Aquarius♒️ The day will be hectic. However, the surprises that he is sure to bring will be pleasant. Noticeable changes for the better are likely where you did not expect them at all. You can take the initiative in personal relationships: thanks to her, a lot will turn out exactly the way you would like. Pisces♓️ The day is suitable for talking about important matters and long-term plans. Tell your friends about what you have in mind, and they will probably want to help you. Lucky matches are likely. It is possible that it is thanks to them that you will understand how to solve old problems, successfully complete difficult tasks that have already been given a lot of effort.

Daily horoscope October 16th.

Libra♎️ It will not always be easy to get along with others. Someone may get angry with you over a trifle or take offense at a completely innocent remark. But this will not last long, already in the middle of the day communication will be much easier. The evening is suitable for solving financial issues. Scorpio♏️ The day will start well. In the morning, you will not need much time to deal with the accumulated minor problems. You can quickly cope with household chores, loved ones will be happy to help with this. It will be useful to remember an old hobby: it will again give a lot of vivid emotions. The second half of the day is suitable for meeting friends, walking and traveling. You don't have to travel far to have a good time. Sagittarius♐️ Not the easiest day in terms of communication. You will not always understand the reasons for the actions of others, because of this, tense moments may arise. Serious conversations should be postponed at least until the evening; at this time it will be much easier to find a compromise.

Daily horoscope October 16th.

Cancer♋️ Do not worry about trifles at the beginning of the day. This time will be quite hectic, but will not bring serious problems. The situation will soon begin to change for the better. Just try not to create unnecessary difficulties for yourself or others. Small disagreements with loved ones are possible, but there will certainly be a compromise. Leo♌️ The start of the day will be bright and inspiring. This interesting time is suitable for solving many issues, as you will be able to take a fresh look at familiar things, see opportunities that no one has noticed before. Take the initiative, act decisively. Virgo♍️ It is worth waking up early, because the morning promises to be especially favorable. At this time, many things will come easy, and you will be able to realize what you have planned a long time ago. Relatives will instantly respond to your proposals, willingly help in everything. Unusual incidents are possible that will lead you to interesting thoughts.

Daily horoscope October 16th.

Aries♈️ The first half of the day is hardly suitable for communication. Getting along with those around you during this time will be more difficult than usual. It may even seem that they deliberately unbalance you, test your patience. Serious conversations should be postponed until the evening. Taurus♉️ The beginning of the day will please with pleasant surprises, good coincidences. This time will hardly bring any drastic changes, but you will tune in a positive way. There will be new plans. It is possible that you will want to do some difficult and important business simply because your friends are interested in it. Gemini♊️ The emotional background of the day will be quite tense, so you will hardly be able to avoid worries and worries. Don't expect any major problems. However, be prepared for minor troubles, try not to lose balance if something does not go according to plan. You will need the ability to improvise, make decisions quickly.

How to understand what a man loves.

He declares his rights to the woman. For example, when meeting friends, a man emphasizes her status: "Meet Viktoria - my girlfriend." He plans his future with a woman. He uses the word "we", makes plans for a life together, is interested in the opinion of a woman and takes it into account. He provides for the woman. He is pleased to spend money on his beloved, to help financially. He is protecting the woman. A man wants to protect a woman from emotional upheavals - at work, in communication with friends. He controls his behavior and does everything to make his beloved feel calm.

Loneliness: is it really that bad?

Loneliness is an opportunity to do what you want, relative independence and freedom. Time for yourself, travel, entertainment. You can consider this period as a time of preparation for relationships, which you are free to spend on self-improvement, work with yourself, self-education - those things that family people often do not allocate time for. You just can’t imagine how sometimes married people, especially those with children, lack personal space. And how they would like to be alone for a little while. And the funny thing is that time alone with yourself will most likely end exactly when you learn to really enjoy it and realize that you don’t want to change anything.

That you can never forgive a man.

There are women who can be in a relationship for years, where they are bullied both psychologically and physically, but they still continue to be there. Because it's acceptable for them. Consciously they suffer, they try to somehow influence the partner, but they cannot break off the relationship. And there is only one way out - to seek help from a specialist. There are women who, at the slightest encroachment, not just on their life and health, but even on some kind of severe violation of personal boundaries, immediately put an end to the relationship. Definitely - where there was a threat to life and health, you can never forgive and stay there. And even if a man repents now, no one knows how he will behave in the future.

How to decide on a divorce?

So, if you have weighed the pros and cons of divorce for your family, for yourself personally, then act. Outline an action plan. Do not rush to collect things and go into the void. Evaluate the pros and cons of divorce for children. Prepare them for such an unpleasant event. Solve issues with housing and work, consult with a lawyer about the main nuances of divorce.

The magic of affirmations

To increase the power of faith in your own irresistibility, use affirmations (positive statements) like: "I love and accept myself" or "I'm a wonderful person and I deserve all the best in life". Imagination is welcome. Put such written affirmations on various personal items that you often take in your hands, such as a mirror or a business card in your wallet. Let them often remind you of who you really are.

Know how to concentrate fully.

A simple method for improving concentration: Take any book off the shelf, open it on any page and start counting the number of words in a paragraph using only your eyes. NOTE. Don't use your fingers, pencil or any other objects! After that, count again to check yourself. It won't be easy at first. If you take just five minutes per day to do this exercise, you'll be surprised by your progress in a week.