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Since complex numbers can be expressed as magnitude and angle, a plot of a system's response can be approximated with a Bode plot (see related link). The gain is the magnitude, and the phase shift is the angle change of the system.
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What are the applications of complex numbers?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?
If you divide 4 by the square root of -7 and then times that by the square root of sin30 how many swag points will you gain?
I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.
Why do we have negative numbers?
We have negative numbers, because if there were no negative numbers, people wouldn't lose profit, they would always gain.
When you subtract a negative from a positive is that a gain or loss?
When you subtract a negative number from a positive number, it is equivalent to adding the two numbers together. Therefore, it is a gain.
What is difference between transfer function and gain?
Gain is also taken as Laplace transform of output to Laplace transform of Input . for example voltage gain calculation , it is not necessary to make the energy will be zero in L and C ( if present in the given circuit). But in case of Transfer function to avoid the system dynamics , we have to make the inductor and capacitor energy will be zero as initial condition = 0
What are the applications of complex numbers?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?
What is a weight gain calculator most useful for?
A weight gain calculator is useful in determining how many calories you need to intake on a daily basis in order to gain "good" weight and build muscle.
Why do ecologists make models of ecosytems?
to gain insight into its complex phenomena
Steady state gain of the system?
The steady state gain of a system is the ratio of the output to the input when the system has reached a constant output value for a constant input signal. It indicates how the system responds to a steady-state input, regardless of transient behavior. Mathematically, it is calculated as the ratio of the output to the input when the system has reached steady state.
How Radar range related to Antenna gain?
Radar range is affected by various factors, including the transmitted power, beamwidth, frequency, propagation losses, and antenna gain. Antenna gain plays a crucial role in determining the effective range of a radar system, as it focuses the transmitted energy in a particular direction, increasing the signal strength in that direction and consequently extending the radar range. A higher antenna gain typically results in a longer radar range by improving the system's ability to detect and track targets at greater distances.
If you divide 4 by the square root of -7 and then times that by the square root of sin30 how many swag points will you gain?
I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.
What real numbers represent a gain of 6kg in weight?
A gain of 6 kg in weight
If the gain of the open loop system is doubled then gain margin will become?
gain margin becomes half
Why do we have negative numbers?
We have negative numbers, because if there were no negative numbers, people wouldn't lose profit, they would always gain.
Why gain bandwidth product is constant?
The gain and bandwidth product is constant only for first order systems. However many complex systems which can be converted and studied as first order, it holds good. This is simple mathematics as in the first order system the frequency appears in the denominator. So if it increases by x times then gain (the modulus of the transfer function) is reduced by x times (approximately).
What role do oxidation numbers play in a chemical formulas?
Oxidation numbers indicate the charge an atom has in a compound. They help in balancing chemical equations, determining the reactivity of elements, and understanding how electrons are transferred in chemical reactions. Oxidation numbers are crucial for identifying the type of chemical bonding present in a compound.
When you subtract a negative from a positive is that a gain or loss?
When you subtract a negative number from a positive number, it is equivalent to adding the two numbers together. Therefore, it is a gain.
