Atypical Vulvovaginal Postradiation Vascular Lesion: A Distinctive, Benign Mimic of Angiosarcoma Characterized in a

Alexander J Neil1, Yvonne Y Li2, David J Papke1

  • 1Department of Pathology, Brigham and Women's Hospital, Harvard Medical School.

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Many organic, inorganic, and biological molecules contain spin-half nuclei such as nitrogen-15, fluorine-19, and phosphorus-31. As a result, NMR studies of these nuclei have found extensive applications in chemical and biological research.
While fluorine-19 and phosphorous-31 have high natural abundances (100%) and positive gyromagnetic ratios, nitrogen-15 has a low natural abundance and a negative gyromagnetic ratio. However, nitrogen-15 is still preferred over nitrogen-14 (which has a...
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Antipsychotic Drugs: Typical and Atypical Agents

Antipsychotic drugs are classified into first-generation (typical) drugs including phenothiazines; and second-generation (atypical) drugs. Chlorpromazine hydrochloride (Thorazine), a phenothiazine derivative, broadly impacts the central, autonomic, and endocrine systems. This drug, along with typical agents like haloperidol (Haldol), primarily works by antagonizing D2 receptors, thus reducing dopaminergic neurotransmission. However, typical antipsychotics can cause side effects such as sedation...
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Resistors In Series

A resistor is an ohmic device that limits the flow of charge in a circuit. Most circuits have more than one resistor. If several resistors are connected together and connected to a battery, the current supplied by the battery depends on the equivalent resistance of the circuit. The equivalent resistance of a combination of resistors depends on both their individual values and how they are connected. The simplest combination of resistors is the series combination. 
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Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
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Trigonometric Fourier series

Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
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The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
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