Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Angle sum and difference

角和差
Applications:
应用:
Rutherford scattering
卢瑟福散射
Instantaneous electric power
瞬时电功率
Sum and difference frequencies
和频与差频
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Product Formulas

乘积公式

These relationships express the product of two sinusoids in terms of the sum of two sinusoids. Sometimes it is desirable to express the sum of two sinusoids in terms of a product of sinusoids, as in the description of modulated sine waves. These relationships are called the superposition relationships.

这些关系式将两个正弦波的乘积表示为两个正弦波的和。有时希望将两个正弦波的和表示为正弦波的乘积,例如在描述调制正弦波时。这些关系式称为叠加关系。
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Superposition Relationships

叠加关系

If the sinusoids represent traveling electromagnetic waves and the arguments of the sinusoids are proportional to frequency, then these relationships show that the superposition of two sinusoids will produce components with the sum and difference of the two frequencies.

如果这些正弦波代表传播的电磁波,并且正弦波的参数与频率成正比,那么这些关系表明,两个正弦波的叠加将产生频率为两者之和与之差的成分。
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Fundamental Identities

基本恒等式
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