For more complex statements, such as van der Waerden's theorem or Kruskal's theorem, intuitionistic validity is not so straightforward.
To complete the basic logical representation of thoughts, Frege added notation for representing more complex statements (such as negated and conditional statements) and statements of generality (those involving the expressions 'every' and 'some'some
The plastic fish and flowers signal a retreat from the power and unity of the groundbreaking reliefs and a growing involvement with material, technique and details for their own sake rather than as means to a larger, more complex statement.
Centroid existence, on the other hand, is our first example of a more complex statement, as its format is universal-existential.
A more complex statement is made by Alicia Keys's video Unthinkable (I'm Ready), which explores the gender dynamics of interracial relationships by dramatizing the natures of attraction and societal obstacles over time.
In the civil-rights movement his moral stance was clear, but in discussing the Vietnam War, in which the issues were more complex, his statements, affected by the temper of the time, became less revealing, replacing evocation with hortatory proclamations modeled on the biblical prophets.
In order to allow the construction of more complex logic statements BLSTL additionally enables specifying how arithmetic expressions comprising non-dimensional or spatial properties change over time.
Although the arithmetic and statistical functions described above enable the construction of more complex logic statements, there is a need for a mechanism which enables reasoning about particular subsets of the detected regions/clusters.
But interviews with Spanish, Moroccan and French intelligence and police officials and a review of Spanish documents indicate that the plot is more complex than public statements suggest.
A7 Conflicting Reports in Madrid Interviews with Spanish, Moroccan and French police and intelligence officials and a review of Spanish documents indicate that last month's Madrid bombing plot was more complex than public statements suggest.
Goldman gives more refined and complex statements of the theory, making use of J-rules, in Goldman 1986, 2009).
