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Single-Particle Electrodynamics - Assassination Science

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noted that the inline fraction symbol / has lower precedence than all multiplication<br />

operations, so that abc/xyz is identical to (abc)/(xyz). However,<br />

if more than one / appears in any product, without binding indicated, then<br />

the expression is in error: the intended binding must be forced.<br />

The addition and subtraction symbols: + and −. These symbols have<br />

lower precedence than those listed above.<br />

∑ ∏<br />

The summation and product symbols: and . These symbols have<br />

lower precedence than those listed above.<br />

The Einstein summation convention: The presence of two indices with the<br />

same standard symbol in a product of matrix factors implies a summation of<br />

that factor with the index in question taking on all values of its enumeration<br />

set. For three-vectors, the arbitrary position of either index is irrelevant; for<br />

four-vectors, however, the convention only applies if one copy of the index is<br />

covariant and the other is contravariant. If more than one copy of a standard<br />

symbol appears as an index in an expression, and these copies do not satisfy<br />

these rules, then no summation convention applies; no explicit note need<br />

be made. The summation convention may also be suppressed by use of the<br />

parenthesised words “(no sum)” at the end of any expression.<br />

The evaluation symbol: | a=b . This symbol has lower precedence than all<br />

those listed above. See equation (A.10) of Section A.3.10 .<br />

The comparison operators: =, ≠, >,

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