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تمرینات حل شده مربوط به حد، پیوستگی و مشتق پذیری توابع مختلط، شرایط کوشی ریمان توابع مختلط،توابع تحلیلی در جلسه امشب
@EngMath_aut
@EngMath_aut
😊😊😊😊😊
دوستان خوشحالم كه جلسه اخر براتون مفيد بوده🌸🍀 انتظار اين همه پيام نداشتم🍀💙
ممنونم از لطف يكايك شما✨🌸
@EngMath_aut
دوستان خوشحالم كه جلسه اخر براتون مفيد بوده🌸🍀 انتظار اين همه پيام نداشتم🍀💙
ممنونم از لطف يكايك شما✨🌸
@EngMath_aut
تبریک عید معادلاتی 😍😊💙
دوستان سالی سرشار از سلامتی، شادکامی،و موفقیت برای شما آرزومندم😊🌷✨🌸
@EngMath_aut
@moadelataut
دوستان سالی سرشار از سلامتی، شادکامی،و موفقیت برای شما آرزومندم😊🌷✨🌸
@EngMath_aut
@moadelataut
دوستان سلام ✋️
اميدوارم كه سالم باشيد 🍀
نمونه سوالات حل شده از بحث پيوستگي، مشتق پذيري، تحليلي بودن توابع مختلط را در ادامه براتون قرار ميدم
انشالله موفق باشيد🙏🌷
@EngMath_aut
اميدوارم كه سالم باشيد 🍀
نمونه سوالات حل شده از بحث پيوستگي، مشتق پذيري، تحليلي بودن توابع مختلط را در ادامه براتون قرار ميدم
انشالله موفق باشيد🙏🌷
@EngMath_aut
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دوستان این کتاب در توابع مختلط بسیار پیشنهاد میشه.
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@EngMath_aut.pdf
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🔸Application of Complex number in Quantum mechanics:
The complex number field is relevant in the mathematical formulation of quantum mechanics, where complex Hilbert spaces provide the context for one such formulation that is convenient and perhaps most standard. The original foundation formulas of quantum mechanics – the Schrödinger equation and Heisenberg’s matrix mechanics – make use of complex numbers.
The quantum theory provides a quantitative explanation for two types of phenomena that classical mechanics and classical electrodynamics cannot account for:
• Some observable physical quantities, such as the total energy of a black body, take on discrete rather than continuous values. This phenomenon is called quantization, and the smallest possible intervals between the discrete values are called quanta (singular:quantum, from the Latin word for “quantity”, hence the name “quantum mechanics.”) The size of the quanta typically varies from system to system.
• Under certain experimental conditions, microscopic objects like atoms or electrons exhibit wave-like behavior, such as interference. Under other conditions, the same species of objects exhibit particle-like behavior (“particle” meaning an object that can be localized to a particular region ofspace), such as scattering. This phenomenon is known as wave-particle duality.
@EngMath_aut
The complex number field is relevant in the mathematical formulation of quantum mechanics, where complex Hilbert spaces provide the context for one such formulation that is convenient and perhaps most standard. The original foundation formulas of quantum mechanics – the Schrödinger equation and Heisenberg’s matrix mechanics – make use of complex numbers.
The quantum theory provides a quantitative explanation for two types of phenomena that classical mechanics and classical electrodynamics cannot account for:
• Some observable physical quantities, such as the total energy of a black body, take on discrete rather than continuous values. This phenomenon is called quantization, and the smallest possible intervals between the discrete values are called quanta (singular:quantum, from the Latin word for “quantity”, hence the name “quantum mechanics.”) The size of the quanta typically varies from system to system.
• Under certain experimental conditions, microscopic objects like atoms or electrons exhibit wave-like behavior, such as interference. Under other conditions, the same species of objects exhibit particle-like behavior (“particle” meaning an object that can be localized to a particular region ofspace), such as scattering. This phenomenon is known as wave-particle duality.
@EngMath_aut
🔸Application of complex number in Computer Science:
1️⃣ Arithmetic and logic in computer system
Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.
2️⃣ Recticing Software engineering in 21st century
This technological manual explores how software engineering principles can be used in tandem with software development tools to produce economical and reliable software that is faster and more accurate. Tools and techniques provided include the Unified Process for GIS application development, service-based approaches to business and information technology alignment, and an integrated model of application and software security. Current methods and future possibilities for software design are covered
@EngMath_aut
1️⃣ Arithmetic and logic in computer system
Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.
2️⃣ Recticing Software engineering in 21st century
This technological manual explores how software engineering principles can be used in tandem with software development tools to produce economical and reliable software that is faster and more accurate. Tools and techniques provided include the Unified Process for GIS application development, service-based approaches to business and information technology alignment, and an integrated model of application and software security. Current methods and future possibilities for software design are covered
@EngMath_aut
🔸Application of Complex number In Electrical Engineering:
The voltage produced by a battery is characterized by one real number (called potential), such as +12 volts or -12 volts😶. But the “AC” voltage in a home requires two parameters. One is a potential, such as 120 volts, and the other is an angle (called phase). The voltage is said to have two dimensions. A 2-dimensional quantity can be represented mathematically as either a vector or as a complex number☺️ (known in the engineering context as phasor). In the vector representation, the rectangular coordinates are typically referred to simply as X and Y. But in the complex number representation, the same components are referred to as real and imaginary. When the complex number is purely imaginary, such as a real part of 0 and an imaginary part of 120, it means the voltage has a potential of 120 volts and a phase of 90°, which is physically very real.
@EngMath_aut
The voltage produced by a battery is characterized by one real number (called potential), such as +12 volts or -12 volts😶. But the “AC” voltage in a home requires two parameters. One is a potential, such as 120 volts, and the other is an angle (called phase). The voltage is said to have two dimensions. A 2-dimensional quantity can be represented mathematically as either a vector or as a complex number☺️ (known in the engineering context as phasor). In the vector representation, the rectangular coordinates are typically referred to simply as X and Y. But in the complex number representation, the same components are referred to as real and imaginary. When the complex number is purely imaginary, such as a real part of 0 and an imaginary part of 120, it means the voltage has a potential of 120 volts and a phase of 90°, which is physically very real.
@EngMath_aut