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An example is a tax return; filling one out is required in order for the amount of tax one owes to be determined. A form may also be a request for a tax refund. Forms may be filled out in duplicate (or triplicate, meaning three times) when the information gathered on the form needs to be distributed to several departments within an organisation.
In a trio form each section is a dance movement in binary form (two sub-sections which are each repeated) and a contrasting trio movement also in binary form with repeats. An example is the minuet and trio from Haydn's Surprise Symphony. The minuet consists of one section (1A) which is repeated and a second section (1B) which is also repeated.
A Form is an objective "blueprint" of perfection. [19] The Forms are perfect and unchanging representations of objects and qualities. For example, the Form of beauty or the Form of a triangle. For the form of a triangle say there is a triangle drawn on a blackboard. A triangle is a polygon with 3 sides.
A simple example of a form that is closed but not exact is the 1-form [note 1] given by the derivative of argument on the punctured plane {}. Since θ {\displaystyle \theta } is not actually a function (see the next paragraph) d θ {\displaystyle d\theta } is not an exact form.
Therefore, in computer algebra, normal form is a weaker notion: A normal form is a representation such that zero is uniquely represented. This allows testing for equality by putting the difference of two objects in normal form. Canonical form can also mean a differential form that is defined in a natural (canonical) way.
For example, given a path γ(t) : [0, 1] → R 2, integrating a 1-form on the path is simply pulling back the form to a form f(t) dt on [0, 1], and this integral is the integral of the function f(t) on the interval.
In logic, the logical form of a statement is a precisely-specified semantic version of that statement in a formal system.Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system.
A typical example of a piece in binary form has two large sections of roughly equal duration. The first will begin in a certain key, which will often, (but not always), modulate to a closely related key. Pieces in a major key will usually modulate to the dominant, (the fifth scale degree above the tonic).