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  2. Bode plot - Wikipedia

    en.wikipedia.org/wiki/Bode_plot

    It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift. As originally conceived by Hendrik Wade Bode in the 1930s, the plot is an asymptotic approximation of the frequency response, using straight line segments .

  3. Phase space - Wikipedia

    en.wikipedia.org/wiki/Phase_space

    A plot of position and momentum variables as a function of time is sometimes called a phase plot or a phase diagram. However the latter expression, " phase diagram ", is more usually reserved in the physical sciences for a diagram showing the various regions of stability of the thermodynamic phases of a chemical system, which consists of ...

  4. Phase (waves) - Wikipedia

    en.wikipedia.org/wiki/Phase_(waves)

    Conversely, a phase reversal or phase inversion implies a 180-degree phase shift. [ 2 ] When the phase difference φ ( t ) {\displaystyle \varphi (t)} is a quarter of turn (a right angle, +90° = π/2 or −90° = 270° = −π/2 = 3π/2 ), sinusoidal signals are sometimes said to be in quadrature , e.g., in-phase and quadrature components of a ...

  5. Frequency response - Wikipedia

    en.wikipedia.org/wiki/Frequency_response

    Magnitude response of a low pass filter with 6 dB per octave or 20 dB per decade roll-off. Measuring the frequency response typically involves exciting the system with an input signal and measuring the resulting output signal, calculating the frequency spectra of the two signals (for example, using the fast Fourier transform for discrete signals), and comparing the spectra to isolate the ...

  6. Separatrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Separatrix_(mathematics)

    It separates — hence the name — the phase space into two distinct areas, each with a distinct type of motion. The region inside the separatrix has all those phase space curves which correspond to the pendulum oscillating back and forth, whereas the region outside the separatrix has all the phase space curves which correspond to the pendulum ...

  7. Mathematics of three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_three-phase...

    For example, balanced two-phase power can be obtained from a three-phase network by using two specially constructed transformers, with taps at 50% and 86.6% of the primary voltage. This Scott T connection produces a true two-phase system with 90° time difference between the phases.

  8. Prodigy Math Game - Wikipedia

    en.wikipedia.org/wiki/Prodigy_Math_Game

    The player takes the role of a wizard or witch, who, whilst undertaking quests to collect gems, must battle against the Puppet Master. These quests usually involve battling monsters in different areas of the in-game map. To participate in these quests, players must correctly answer math problems to cast spells. Prodigy Math was released in 2011 ...

  9. Phase line (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Phase_line_(mathematics)

    A plot of () (left) and its phase line (right). In this case, a and c are both sinks and b is a source. In mathematics , a phase line is a diagram that shows the qualitative behaviour of an autonomous ordinary differential equation in a single variable, d y d x = f ( y ) {\displaystyle {\tfrac {dy}{dx}}=f(y)} .