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This video discusses the mathematics of cybersecurity, and how it can be used to protect data and thwart attacks. It features a presentation by Vanesa Daza, a mathematician who has studied at the university level and holds a degree in mathematics and a licenciate in mathematics. Daza talks about her experience of taking courses in more abstract areas of mathematics, and how that led her to pursue a PhD in cryptography. She then shows a real-time demonstration of an attack on a company, using graphics and slides to illustrate the concepts. The video ends with a brief discussion of the importance of mathematics in cybersecurity and its role in protecting data and thwarting attacks.

**00:00:00**In this video, Vanesa Daza discusses the importance of mathematics in cybersecurity, and how it can be used to protect against cyberattacks. She also talks about some of the paradoxes and challenges that come with using mathematics, and how it applies to various fields in everyday life. Finally, she discusses current applications of mathematics in the world, including online security.**00:05:00**Vanessa Daza is a professor at Pompeu Fabra University, and a researcher in the field of cybersecurity. In her presentation, she will talk about some of her research in this area, and share some of her experiences in the field.**00:10:00**This YouTube video discusses the importance of mathematics in cybersecurity, and how it is used to protect data and defend against attacks. It features a presentation by Vanesa Daza, a mathematician who has studied at the university level and holds a degree in mathematics and a licenciate in mathematics. Daza talks about her experience of taking courses in more abstract areas of mathematics, and how that led her to pursue a PhD in cryptography. She then shows a real-time demonstration of an attack on a company, using graphics and slides to illustrate the concepts. The video ends with a brief discussion of the importance of mathematics in cybersecurity and its role in protecting data and thwarting attacks.**00:15:00**This video discusses the mathematics of cybersecurity, focusing on cryptography and digital signatures. It covers some of the basics of what cryptography is and how it works, before moving on to three specific examples of how cryptography is used in the modern world. Finally, the presenter explains what cryptography is and its role in cybersecurity.**00:20:00**Las matemáticas de la ciberseguridad discussan the use of a mathematical function known as the modular arithmetic. This function can be used to decode a message, which is simply arithmetic based. Caesar used this function to encrypt his name, which is easily decoded with the help of a simple calculator. Today, we can use statistical analysis to decode a lengthy text, just like the Greco-Roman Egyptians did centuries ago. Finally, this video introduces the Caesar cipher, which was an improved version of the jefe cipher.**00:25:00**Las matemáticas de la ciberseguridad explican how secure communications have been improved over the years, with the introduction of cryptography and the use of public-key cryptography. In this video, Vanesa Daza discusses Claude Shannon's work in this area, which is considered the father of the theory of communication. She also touches on the history of cryptography, starting with the Roman era and moving on to the modern era. Finally, she explains how today's communications are vulnerable to interception, and how we need to come up with ways to protect ourselves.**00:30:00**Justamente, that was the key we said at the moment that the clock was equal to 33 positions, that displacement was the key. Here, we should presume that this key is common to both sides - which is the problem we have here. Just recall that this is this computer, and here we have the railroad server that may not be in service right now, and may be in Spain somewhere. What's happening is that, if we're going to encrypt communications and send a message from Jesus to someone, we've talked about this before and agreed on a key. But you can imagine that, if this computer has not spoken with the railroad server previously, they've had coffee and don't know which key it is. And with this, we need a way to find that key and encrypt the information, like we'll do when we make a certain function. We'll see one later. But for now, I simply put that one letter, "F", this private key, here. And he, if what we're going to do is that - which is what he wants to mean - is to**00:35:00**In this video, Vanesa Daza explains how to encrypt a message using a public and a private key. The public key can be calculated by multiplying two prime numbers, and the private key can be calculated by inverting the public key. The server of Renfe will never share the private key, and always be able to calculate the message's encryption using the public key and the private key.**00:40:00**Vanesa Daza, a mathematician and cybersecurity expert, discusses the mathematics of cybersecurity. She explains that one way to protect oneself from cyberattacks is to know one's personal credit card number, as well as the reverse number. She also presents a Mersenne Twister algorithm, which is very effective at computing factors. However, today's algorithms do not always achieve efficient factorization, and RSA is no longer impervious to attack. Daza explains that post-quantum cryptography, which uses special mathematical algorithms that are not susceptible to attack, is currently being developed.**00:45:00**The video explains how the public key cryptography works, and how two computers can securely communicate without ever revealing any private information to each other. Las matemáticas de la ciberseguridad (Vanesa Daza) also covers how to calculate a secret key using a generator function and the public key.**00:50:00**In the video, Vanesa Daza discusses the mathematics of cybersecurity. She explains that two people can share a key to a computer without being physically present, and that this key can be used to communicate between two computers. She also notes that there is no efficient algorithm to calculate the discrete logaritmo (discrete logaritmo), which is required to calculate the exponential function. However, this problem can be solved efficiently using polynomial algorithms in time polynomial in the case of Peterson and Gelman. Vanesa Daza concludes that this is a safe solution, as there are no efficient algorithms to calculate the discrete logaritmo in general.**00:55:00**Las matemáticas de la ciberseguridad explican que la criptografía es una forma de seguridad que utiliza el código para proteger datos. La clave pública se utiliza para generar una firma digital, mientras que la clave secreta se usa para enviar el mensaje. Algunas de las ventajas de la criptografía son que es extremadamente complicado para que una persona descifre el código, lo cual aumenta la seguridad de los datos.

In this video, Vanesa Daza discusses the mathematics of cyber security. She explains how miners are paid, how they can prevent fraud, and the importance of consensus algorithms.

**01:00:00**This video explains the mathematics of cybersecurity, with Vanesa Daza explaining how public key cryptography works. Using the public key, he knows, he can generate a valid signature with this. This proves that the private key is correct, as anyone who knows the public key and signs this with their own private key is considered to be the rightful owner of this key. This key can be used to encrypt messages, as long as the recipient knows the private key. However, if the private key is leaked, the message can be decrypted. This video also discusses the function summary, which is a way of summarizing a function's properties. This is necessary for proving the validity of a message. Finally, the video shows how to create a message, using a function summary to help prove its validity.**01:05:00**In this video, Vanesa Daza explains how hackers use cryptographic hashes to steal money from people's bank accounts. She also explains how digital money works and how banks use it to transfer money.**01:10:00**In this video, Vanesa Daza discusses the mathematics of cybersecurity. She explains that today's currencies are vulnerable to theft due to the centralized nature of the entity, which has access to our data and verifies and controls everything we can do. In the 1980s, there were many attempts to eliminate the cyberpunk movement, also known as the "cybercash" movement, which aimed to remove this figure from the banking system and send directly money to us, what is the problem with digital money, in which, for example, you can say that five euros sent to Jesus were automatically sent on to Isidoro. I could also say that I'm sending him six euros more than he had, I only had five, but I sent them to him. He will say that I arrived earlier, and I did. But the problem is double spending, which was a major issue in the 1980s and 1990s and is still a problem today, for example, when Alice wants to send Bob a bitcoin, what she is going to do is create a transaction and tell him, "Alice with good luck, I'm sorry, it won't finish yet. I'll send you the euro now." And he signed it with his secret key, which is my secret**01:15:00**This video discusses the mathematics of cybersecurity, with Vanesa Daza explaining the importance of consensus algorithms in preventing attacks. She also talks about how miners can win bitcoins by calculating hashes correctly, and how they can receive a small incentive for doing so. Overall, the video provides an introduction to the mathematics of cybersecurity, and explains how incentives play a role in promoting mining activity.**01:20:00**This video discusses the mathematics of cybersecurity, focusing on the concepts of mining and pools. It explains that, in order to be a successful miner, one must be rational and have a pool of rational miners working together, which is why this new paradigm is important to take into account. Additionally, there is a positive side to the online world that we have not yet realized – the simplification of life without internet. However, there are also negative aspects of the internet, such as the number of people taking advantage of it. Finally, the presenter explains that there are many pools of miners all over the world, and that, once a miner has joined one, it is possible to receive payouts automatically.**01:25:00**Las matemáticas de la ciberseguridad featured Vanesa Daza, who discusses the importance of financial security in the digital age. She explains how blockchain technology is being used to create secure financial exchanges. The video also features a subtitled version of a conversation between Vanesa and two others. In the first conversation, Vanesa and another person discuss the importance of keeping up with the latest financial news. The second conversation is about financial security and how to protect oneself from financial fraud.**01:30:00**In this video, Vanesa Daza discusses the mathematics of cybersecurity. She explains that there is a point in time where the miners will have to accept this solution as the valid one, and that this will be the one that survives. It will take some time to calculate, and we will not be able to generate many shocks. There is one attack that will definitely be saved, but there is also the self-fish attack. This last one is what effectively prevented the shocks from happening in the first place. Satoshi Nakamoto implemented this idea of a chain of blocks very effectively, and it was one of his original ideas. Unfortunately, it was not well integrated and has not been fully realized yet. Bitcoin's security comes from the fact that each person has a chain of blocks, which is updated automatically as new blocks are added. If any miner tries to tamper with the chain, they will be punished. Christina Sommers and Jesus Huerta Reto have retired. However, if the number of Bitcoins is fixed, which is what is happening right now, then anyone who tries to tamper with the chain will also be punished. This is why consensus is so important in Bitcoin--it ensures that things work smoothly. One last question arises: where do the**01:35:00**In this video, Vanesa Daza explains the mathematics of cyber security. Every ten minutes, blah blah blahs are being generated, and we know roughly when they're going to end. Everything is designed to make it happen when there are 21 million of them out there. These miners who want to be miners now are going to have to pay for electricity, and they're not going to be getting any share of the profits. What's going on here? The problem is that the miners are being paid two ways: first, they're paid in coins; and second, they get a commission for every transaction they send. 1 galicia (1/100th of a euro) is what it costs to send a transaction, and here's what Vanesa says she pays in commissions: 50 euros when she sends a transaction, and then she also gets a 500-euro commission for every block she mines. That's a total of 2,000 euros, which she finds more interesting than simply receiving money. Finally, she talks about the second type of payment: a commission for bringing a new block to the network. This commission ranges from 0.5 to 2.5 bitcoins, and it's paid out every time a miner finds a new block.

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