! x
x & y
x && y
x | y
x || y
xor(x, y)isTRUE(x)
!, a logical or raw vector(for raw x) of the same
  length as x: names, dims and dimnames are copied from x,
  and all other attributes (including class) if no coercion is done. For |, & and xor a logical or raw vector.  If
  involving a zero-length vector the result has length zero.  Otherwise,
  the elements of shorter vectors are recycled as necessary (with a
  warning when they are recycled only fractionally).
  The rules for determining the attributes of the result are rather
  complicated.  Most attributes are taken from the longer argument, the
  first if they are of the same length.  Names will be copied from the
  first if it is the same length as the answer, otherwise from the
  second if that is.  For time series, these operations are allowed only
  if the series are compatible, when the class and tsp
  attribute of whichever is a time series (the same, if both are) are
  used.  For arrays (and an array result) the dimensions and dimnames
  are taken from first argument if it is an array, otherwise the second. For ||, && and isTRUE, a length-one logical vector.!, & and | are S4 generics, the latter two part
  of the Logic group generic (and
  hence methods need argument names e1, e2).! indicates logical negation (NOT). & and && indicate logical AND and | and ||
  indicate logical OR.  The shorter form performs elementwise
  comparisons in much the same way as arithmetic operators.  The longer
  form evaluates left to right examining only the first element of each
  vector.  Evaluation proceeds only until the result is determined.  The
  longer form is appropriate for programming control-flow and typically
  preferred in if clauses. xor indicates elementwise exclusive OR. isTRUE(x) is an abbreviation of identical(TRUE, x), and
  so is true if and only if x is a length-one logical vector
  whose only element is TRUE and which has no attributes (not even
  names). Numeric and complex vectors will be coerced to logical values, with
  zero being false and all non-zero values being true.  Raw vectors are
  handled without any coercion for !, &, | and
  xor, with these operators being applied bitwise (so ! is
  the 1s-complement). The operators !, & and | are generic functions:
  methods can be written for them individually or via the
  Ops (or S4 Logic, see below)
  group generic function.  (See Ops for
  how dispatch is computed.) NA is a valid logical object.  Where a component of
  x or y is NA, the result will be NA if the
  outcome is ambiguous.  In other words NA & TRUE evaluates to
  NA, but NA & FALSE evaluates to FALSE.  See the
  examples below. See Syntax for the precedence of these operators: unlike many
  other languages (including S) the AND and OR operators do not have the
  same precedence (the AND operators have higher precedence than the OR
  operators).TRUE or logical. any and all for OR and AND on many scalar
  arguments. Syntax for operator precedence. bitwAnd for bitwise versions for integer vectors.y <- 1 + (x <- stats::rpois(50, lambda = 1.5) / 4 - 1)
x[(x > 0) & (x < 1)]    # all x values between 0 and 1
if (any(x == 0) || any(y == 0)) "zero encountered"
## construct truth tables :
x <- c(NA, FALSE, TRUE)
names(x) <- as.character(x)
outer(x, x, "&") ## AND table
outer(x, x, "|") ## OR  table
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