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Is the product of two rational numbers rational?
Yes, the product of two rational numbers is also rational. This is because when you multiply two rational numbers, the result can always be expressed as a ratio of two integers, which is the definition of a rational number. Therefore, the product of two rational numbers will always be rational.
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Is the product of rational numbers also a rational number?
Yes, the product of rational numbers is also a rational number. This is because when you multiply two rational numbers, the result can always be expressed as a fraction of two integers, where the denominator is not zero. Therefore, the product of rational numbers is always a rational number.
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What are rational functions?
Rational functions are functions that can be expressed as the ratio of two polynomials. They are defined for all real numbers except where the denominator polynomial is equal to zero. Rational functions can have vertical asymptotes where the denominator is zero, and horizontal asymptotes as x approaches positive or negative infinity. These functions can have a variety of shapes and behaviors depending on the degree of the numerator and denominator polynomials.
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Are people considered rational?
People are generally considered to be rational to some extent, as they are capable of making logical decisions based on their beliefs, preferences, and available information. However, human behavior is also influenced by emotions, biases, and cognitive limitations, which can lead to irrational decision-making. While people strive to be rational, they are also subject to various psychological and social factors that can impact their ability to make purely rational choices. Overall, people can be rational in certain situations, but their decision-making is often influenced by a combination of rational and irrational factors.
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F-Secure Antivirus
Product Information "F-Secure Anti-Virus " F-Secure Anti-Virus software builds on more than 30 years of experience in the industry, identifying, quarantining and neutralizing potential threats before they can cause damage to the device. In addition to viruses and Trojans, the antivirus software also takes care of protection against malware and spyware - without putting an unnecessary strain on the Windows PC's resources. The functions of the software at a glance Protection against viruses, malware, spyware and Trojans reliably removes malware that has already spread without leaving any residue optimized to conserve RAM and the PC's processor with regular updates available for 1 PC or up to 3 PCs Comprehensive protection with F-Secure Anti-Virus for your Windows PC Specifically designed for Windows systems, this anti-virus software identifies malicious software before it causes any damage to your system. To do this, it uses a continuously operating virus scanner that detects even modern and particularly complex viruses and Trojans at an early stage, moves them to quarantine and then asks you to take further action. Furthermore, you can check e-mail attachments immediately after receiving them so that you do not accidentally download malware. Advanced protection for your PC against online threats. Advanced malware protection for your PC. You need advanced detection and protection technology to protect your computer against modern and complex threats. F-Secure Anti-Virus provides real-time protection against viruses, spyware, infected e-mail attachments and other malware. Automatic updates and real-time responses ensure the fastest possible protection against all new threats. Fast response: thanks to real-time scanning and automatic updates F-Secure Anti-Virus takes advantage of both real-time scans and regular automatic updates. So, while the antivirus software is working in the background, you do not have to worry about anything else. When an update is available, for example after new threats appear on the Internet, it is automatically downloaded and installed. The software is thus immediately able to respond to new threats in the digital world. If your Windows PC is already (supposedly) infected with malware or malicious software, the software is able to remove both without leaving any residue. Advanced technologies ensure that even well-hidden malware is removed in a bundled fashion, preventing any potential leftovers from spreading further. The software is optimized so that it does not slow down the Windows PC unnecessarily, and therefore works even on outdated systems - Windows 7 with Service Pack 1 is a basic requirement. System Requirements Details Operating System Windows 11, Windows 10 (64-bit) version 21H2 or later macOS 12 (Monterey) or later iOS 16.6 or later Android 10 or later Processor Intel Pentium 4 processor with at least 2 GHz (Windows) RAM 1 GB of RAM (minimum) Graphics Card N/A Sound Card N/A Hard Disk 1.2 GB (on Windows) Screen Minimum screen resolution of 1,024 x 768 pixels Buy smart software: fast & secure at Blitzhandel24 Available for one or three devices, you can download F-Secure Anti-Virus immediately after your purchase at Blitzhandel24 via instant download - so you don't waste time leaving your computer unprotected. Also included is F-Secure's free customer support: If you ever have a concern or question, you can contact the experienced team.
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ESET Secure Authentication
Optimal protection of your data thanks to mobile-based multi-factor authentication What is multi-factor authentication? Multi-factor authentication (MFA), often referred to as two-factor authentication (2FA), is a strong authentication method that requires users to identify themselves with more than one element. By combining a static password with a dynamic second factor, the risk of data loss is greatly reduced. ESET Secure Authentication (ESA) provides a foundation for organizations to meet compliance requirements and proactively prevent data protection incidents. With ESA, organizations of any size can easily implement MFA for shared systems (Windows logins and servers, Microsoft cloud services such as Microsoft 365 or OWA, SAML, FIDO, ADFS 3.0, VPN and RADIUS-based services). The Solution: ESET Secure Authentication Powerful, easy-to-deploy multi-factor authentication for businesses of all sizes. Companies enjoy the following benefits: Prevention of data protection incidents. Fulfillment of compliance requirements Centralized control via browser Can be operated via cell phone or existing HW tokens Two-factor authentication made easy Authentication is simple: just confirm the code via your cell phone. Works on iOS and Android smartphones and for all platforms and services. Cloud support In addition to protecting local apps, ESET Secure Authentication can also be used to protect web and cloud services such as Microsoft Office 365, Google Apps, Dropbox and many others by integrating the ADFS 3.0 or SAML protocol. Various authentication methods ESET Secure Authentication supports push notifications, one-time password provisioning via the mobile client application, SMS or existing hardware tokens, as well as FIDO-based sticks and custom methods. Sample applications PROBLEM It is not uncommon for employees to use the same passwords for different applications and websites. A high security risk for organizations. SOLUTION Further secure access to corporate resources with two-factor authentication. By using multi-factor authentication, insecure or stolen passwords are no longer a problem. ESET Secure Authentication Feautures Remote Management ESET Secure Authentication uses a specially designed management console accessible through a web browser. You can choose to integrate with Active Directory, but you can also use the solution in environments without Active Directory. Once installed, no additional training or professional services are required to configure and deploy ESET Secure Authentication. Setup in just 10 minutes We designed the solution to be easy to install and deploy, even in small businesses without an internal IT department. Regardless of the size of your business, installing ESET Secure Authentication takes very little time thanks to the ability to configure multiple users at once. No additional hardware required ESET Secure Authentication does not require any additional hardware. Once the 10 MB application is installed on your server, you can start using it immediately. Compatibility with all major smartphones Your employees can continue to use the smartphones they already use. No additional hardware is required for ESET Secure Authentication. We also support hardware keys, but that's optional. Includes SDK and API We provide both an SDK and an API to customize the functionality. This allows organizations to extend ESET Secure Authentication to meet their needs and extend it to their own applications or web services. Push authentication Convenient authentication without entering a one-time password by confirming via push notification. Works on iOS and Android smartphones. With ESET Secure Authentication you protect: VPN access to your company Remote Desktop Protocol (RDP) Additional authentication for desktop logins (logging in to the operating system) Web/cloud services via Microsoft ADFS 3.0, e.g. Office 365 Online Web App (OWA) Microsoft Web Apps VMware Horizon View RADIUS-based services Exchange Control Panel & Exchange Administrator Center Supported VPNs Barracuda Cisco ASA Citrix Access Gateway Citrix NetScaler Check Point Software Cyberoam, F5 FirePass Fortinet FortiGate Juniper Palo Alto SonicWall System Requirements Server: 32-bit and 64-bit versions of Microsoft Windows Server 2003, 2003 R2, 2008, 2008 R2, 2012, 2012 R2, 2016. Client: iOS (iPhone), Android, Windows 10 Mobile. Token support: Although hardware tokens are not required, the solution supports all event-based, OATH-compliant HOTP tokens, as well as FIDO2 and FID...
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F-Secure Antivirus
Product Information "F-Secure Anti-Virus " F-Secure Anti-Virus software builds on more than 30 years of experience in the industry, identifying, quarantining and neutralizing potential threats before they can cause damage to the device. In addition to viruses and Trojans, the antivirus software also takes care of protection against malware and spyware - without putting an unnecessary strain on the Windows PC's resources. The functions of the software at a glance Protection against viruses, malware, spyware and Trojans reliably removes malware that has already spread without leaving any residue optimized to conserve RAM and the PC's processor with regular updates available for 1 PC or up to 3 PCs Comprehensive protection with F-Secure Anti-Virus for your Windows PC Specifically designed for Windows systems, this anti-virus software identifies malicious software before it causes any damage to your system. To do this, it uses a continuously operating virus scanner that detects even modern and particularly complex viruses and Trojans at an early stage, moves them to quarantine and then asks you to take further action. Furthermore, you can check e-mail attachments immediately after receiving them so that you do not accidentally download malware. Advanced protection for your PC against online threats. Advanced malware protection for your PC. You need advanced detection and protection technology to protect your computer against modern and complex threats. F-Secure Anti-Virus provides real-time protection against viruses, spyware, infected e-mail attachments and other malware. Automatic updates and real-time responses ensure the fastest possible protection against all new threats. Fast response: thanks to real-time scanning and automatic updates F-Secure Anti-Virus takes advantage of both real-time scans and regular automatic updates. So, while the antivirus software is working in the background, you do not have to worry about anything else. When an update is available, for example after new threats appear on the Internet, it is automatically downloaded and installed. The software is thus immediately able to respond to new threats in the digital world. If your Windows PC is already (supposedly) infected with malware or malicious software, the software is able to remove both without leaving any residue. Advanced technologies ensure that even well-hidden malware is removed in a bundled fashion, preventing any potential leftovers from spreading further. The software is optimized so that it does not slow down the Windows PC unnecessarily, and therefore works even on outdated systems - Windows 7 with Service Pack 1 is a basic requirement. System Requirements Details Operating System Windows 11, Windows 10 (64-bit) version 21H2 or later macOS 12 (Monterey) or later iOS 16.6 or later Android 10 or later Processor Intel Pentium 4 processor with at least 2 GHz (Windows) RAM 1 GB of RAM (minimum) Graphics Card N/A Sound Card N/A Hard Disk 1.2 GB (on Windows) Screen Minimum screen resolution of 1,024 x 768 pixels Buy smart software: fast & secure at Blitzhandel24 Available for one or three devices, you can download F-Secure Anti-Virus immediately after your purchase at Blitzhandel24 via instant download - so you don't waste time leaving your computer unprotected. Also included is F-Secure's free customer support: If you ever have a concern or question, you can contact the experienced team.
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F-Secure Antivirus
Product Information "F-Secure Anti-Virus " F-Secure Anti-Virus software builds on more than 30 years of experience in the industry, identifying, quarantining and neutralizing potential threats before they can cause damage to the device. In addition to viruses and Trojans, the antivirus software also takes care of protection against malware and spyware - without putting an unnecessary strain on the Windows PC's resources. The functions of the software at a glance Protection against viruses, malware, spyware and Trojans reliably removes malware that has already spread without leaving any residue optimized to conserve RAM and the PC's processor with regular updates available for 1 PC or up to 3 PCs Comprehensive protection with F-Secure Anti-Virus for your Windows PC Specifically designed for Windows systems, this anti-virus software identifies malicious software before it causes any damage to your system. To do this, it uses a continuously operating virus scanner that detects even modern and particularly complex viruses and Trojans at an early stage, moves them to quarantine and then asks you to take further action. Furthermore, you can check e-mail attachments immediately after receiving them so that you do not accidentally download malware. Advanced protection for your PC against online threats. Advanced malware protection for your PC. You need advanced detection and protection technology to protect your computer against modern and complex threats. F-Secure Anti-Virus provides real-time protection against viruses, spyware, infected e-mail attachments and other malware. Automatic updates and real-time responses ensure the fastest possible protection against all new threats. Fast response: thanks to real-time scanning and automatic updates F-Secure Anti-Virus takes advantage of both real-time scans and regular automatic updates. So, while the antivirus software is working in the background, you do not have to worry about anything else. When an update is available, for example after new threats appear on the Internet, it is automatically downloaded and installed. The software is thus immediately able to respond to new threats in the digital world. If your Windows PC is already (supposedly) infected with malware or malicious software, the software is able to remove both without leaving any residue. Advanced technologies ensure that even well-hidden malware is removed in a bundled fashion, preventing any potential leftovers from spreading further. The software is optimized so that it does not slow down the Windows PC unnecessarily, and therefore works even on outdated systems - Windows 7 with Service Pack 1 is a basic requirement. System Requirements Details Operating System Windows 11, Windows 10 (64-bit) version 21H2 or later macOS 12 (Monterey) or later iOS 16.6 or later Android 10 or later Processor Intel Pentium 4 processor with at least 2 GHz (Windows) RAM 1 GB of RAM (minimum) Graphics Card N/A Sound Card N/A Hard Disk 1.2 GB (on Windows) Screen Minimum screen resolution of 1,024 x 768 pixels Buy smart software: fast & secure at Blitzhandel24 Available for one or three devices, you can download F-Secure Anti-Virus immediately after your purchase at Blitzhandel24 via instant download - so you don't waste time leaving your computer unprotected. Also included is F-Secure's free customer support: If you ever have a concern or question, you can contact the experienced team.
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Is man still rational?
Man is still rational to a certain extent, as humans have the ability to think critically, make decisions based on logic and reason, and solve complex problems. However, emotions, biases, and external influences can sometimes cloud our judgment and lead to irrational behavior. It is important for individuals to be aware of these factors and strive to make rational decisions based on sound reasoning and evidence.
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Are you rational thinkers?
As an AI, I am programmed to process information and make decisions based on logic and reasoning. My responses are generated using algorithms and data analysis, which are designed to be rational and logical. However, it is important to note that my responses are based on the information available to me and may not always reflect the full complexity of human thought processes. Ultimately, the concept of rational thinking is subjective and can vary depending on individual perspectives and beliefs.
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What is a rational number?
A rational number is a number that can be expressed as a fraction where the numerator and denominator are both integers, and the denominator is not zero. In other words, a rational number is any number that can be written in the form a/b, where a and b are integers. Rational numbers include integers, fractions, and terminating or repeating decimals.
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What is a rational thinker?
A rational thinker is someone who approaches situations and problems logically, using reason and evidence to form their beliefs and make decisions. They are able to weigh different perspectives, consider various possibilities, and make sound judgments based on facts rather than emotions or biases. Rational thinkers are open-minded, willing to change their views in the face of new information, and are able to think critically about complex issues.
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