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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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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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Trend Micro Worry-Free Business Security Services Advanced
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Trend Micro Worry-Free Business Security Services Advanced
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Trend Micro Worry-Free Business Security Services Advanced
Cloud-based, enterprise-grade protection for your business devices and email The broadest range of threat protection More and more small businesses are falling victim to cybercriminals. Their data theft tactics include spam, malware, phishing, and complex, targeted attacks designed to evade traditional antivirus protection. Simply Cloud-based security designed specifically to protect all your devices and email. Stop email threats in the cloud before they reach your network and protect your devices from spear phishing and advanced targeted attacks. A single, intuitive web console makes managing these powerful capabilities a breeze. Completely Get detection, response, and investigation capabilities in a single agent. Eliminating multiple vendors makes protecting your employees, computers and mobile devices from cyber threats simple and cost-effective. By combining machine learning with other state-of-the-art detection techniques, you get the most comprehensive protection against ransomware and advanced attacks. Trusted More than 500,000 companies worldwide rely on Trend Micro to keep their businesses safe. Thanks to our up-to-the-second threat intelligence network, we protect more than 250 million endpoints and fend off threats while you focus on your business. Advanced Protection A blend of cross-generational threat methods gives you the most comprehensive protection against advanced threats. Take advantage of: High-fidelity machine learning that uniquely analyzes files-not just before execution, but on the fly. More reliable detection of advanced malware, including fileless, cryptomining, ransomware and more Noise reduction techniques , such as Census and Safelist, that check at every level to reduce false positives Behavioral analysis against scripts, injection, ransomware, storage and browser attacks Complete protection for email and collaboration Leverage the efficiency of cloud services while maintaining security. Get advanced threat and data protection for Microsoft® Office 365® email, Microsoft® Teams®, OneDrive, Sharepoint, Gmail® and collaboration tools like Google Drive, Dropbox and Box. Protect your sensitive data Our integrated DLP, encryption management and device control capabilities cover the broadest range of devices, applications and file types to ensure: Maximum visibility and control Ensure confidentiality and compliance with GDPR, HIPPA, and other rapidly evolving regulations Granular policies for device control and data management Management and Visibility for Microsoft BitLocker Stop malicious software with application control Application monitoring, safelisting, and lockdown prevent malware and infections from entering your organization by Blocking unauthorized or unknown applications from executing attacks, such as ransomware Enforcing easy-to-manage, simple rules Allowing you to run only applications that you have authorized System requirements: Operating systems Windows 7, Windows 8.1, Windows 10, Windows 11 Windows-Server Windows Server 2008 R2 Windows SBS 2008 Windows SBS 2011 Windows Server 2012 R2 Windows Server 2016 Windows Server 2022 Mac Servers OS XTM Mountain Lion 10.8 or later, Mac OSTM X Lion 10.7 or later, Mac OS X Snow LeopardTM 10.6 or later, Mac OS X LeopardTM 10.5.7 or later, Mac OS X TigerTM 10.4.11 or later, Mac OS X Mavericks 10.9 Mobile Security (Advanced version only) iOS 3.0 to 6.1 (4.3 to 7.0), Android 2.2 to 4.2, Windows 7.0 to 8.0, BlackBerry 7.0 to 10.1 Email Server (Advanced Version only) Exchange Server 2003 SP2, 2007 SP1, 2010 SP 1, 2 and 3, 2013 Processor: Clients Intel Pentium x86 or compatible; x64: AMD64, Intel EM64T (clock speed varies by OS) Security Server: Conventional Scan Mode:IntelTM PentiumTM 4 or higher; Smart Scan Mode:Intel Core 2 DuoTM or higher recommended Mac PowerPCTM or IntelTM Core Security Server Conventional Scan Mode:IntelTM PentiumTM 4 or higher Smart Scan Mode: multiple processors or multi-core processor Email Server 1 GHz Intel Pentium x86 or compatible; 1 GHz x64 (AMD64, Intel EM64T) RAM: Clients 256 MB; 512 MB recommended Security Server Smart Scan Mode: 1 GB; 2 GB recommended Conventional mode (x86): 512 MB; 1 GB recommended x64 (Smart and conventional): 1 GB; 2 GB recommended Windows EBS 2008 or SBS 2008 (Smart and conventional): 4 GB; 8 GB recommended E-mail server 1 GB Disk space (8.5 GB total): Clients 450 MB Security Server 5 GB (agents not included) Email server: 1.5 GB
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Price: 27.43 £ | Shipping*: 0.00 £
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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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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 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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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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