Imaginary Part
Imaginary Part - Related Videos
04:13
Modeling Repetitive Concussive Head Injuries in a Mouse Model
0 Views •
2025
Source: Yang, Z., et.al. A Repetitive Concussive Head Injury Model in Mice. J. Vis. Exp. (2016).This video demonstrates the induction of repetitive concussive head injuries in a mouse using an electromagnetic impact device. The procedure involves positioning the impact tip between the interfrontal and lambdoid sutures on the skull of an anesthetized mouse and using a probe tip to precisely set the impact depth. The impact is delivered at a controlled velocity and depth to simulate mild...
12:30
A Comprehensive Protocol for Manual Segmentation of the Medial Temporal Lobe Structures
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Cited by 33 •
2014
The present work provides a comprehensive set of guidelines for manually tracing the medial temporal lobe (MTL) structures. This protocol can be applied to research involving structural and/or combined structural-functional magnetic resonance imaging (MRI) investigations of the MTL, in both healthy and clinical groups.
08:59
Electrochemical Impedance Spectroscopy
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2023
Source: Kara Ingraham, Jared McCutchen, and Taylor D. Sparks, Department of Materials Science and Engineering, The University of Utah, Salt Lake City, UT Electrical resistance is the ability of an electrical circuit element to resist the flow of electricity. Resistance is defined by Ohm's Law: (Equation 1) Where is the voltage and is the current. Ohm's law is useful for determining the resistance of ideal resistors. However, many circuit elements are more complex and can't be described by...
09:13
Hypoxia Alters miRNAs Levels Involved in Non-Mendelian Inheritance of Autism Spectrum Disorder in Mice
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Cited by 1 •
2025
Here, we present a protocol to induce hypoxia in neonatal mice by delivering them in controlled environments with varying oxygen concentrations. Mouse models subjected to oxygen variations at birth have durably varied the expression of miRNAs involved in the induction of behavioral phenotypic changes such as autism.
05:42
A Repetitive Concussive Head Injury Model in Mice
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Cited by 5 •
2016
Concussion presents the most common type of traumatic brain injury. Therefore, a repetitive concussive animal model, which replicates the important features of an injury in patients, may provide a means to study concussion in a rigorous, controlled, and efficient manner.
FAQs
First rewrite the expression as a sum of a real term and a term containing i. The coefficient attached to i after simplification is the value of Im(z), while terms without i belong to the real component. This procedure prevents confusion when an expression initially hides its real and imaginary contributions through arithmetic or rearrangement.
It supplies the vertical coordinate of a complex number in the complex plane, complementing the horizontal coordinate supplied by the real part. Examining both components locates the number as a point rather than treating it as an isolated algebraic expression. This geometric view helps connect complex arithmetic with position, direction, and transformations.
Keeping the imaginary coefficient separate from the real coefficient makes complex expressions easier to organize during arithmetic. The same separation is useful when forming and interpreting a complex conjugate, because conjugation depends on the complex number’s two component values. Tracking these components supports algebraic manipulation while preserving the number’s geometric meaning.
When an equation cannot be solved within the real numbers, a complex solution can include a nonzero imaginary component. That component records the part of the solution that lies outside the real-number line while still allowing the equation to be represented and analyzed. Consequently, imaginary parts extend the range of equations that mathematics can describe.
The imaginary component provides one coordinate in a complex representation of quantities associated with rotations and oscillations. Together with the real component, it allows these behaviors to be expressed using a single complex number whose position can change. This representation is useful because geometric movement and periodic behavior can be examined through the same component-based framework.
Wave behavior can be represented with complex quantities, and the imaginary component contributes one part of that representation. Separating it from the real component helps describe information that would be difficult to capture with real numbers alone. Its relevance extends the mathematical description of waves while retaining a clear connection to complex-plane geometry.