Estimates of the lifetime prevalence of bipolar disorder vary, with studies typically giving values of the order of 1 %, with higher figures given in studies with looser definitions of the condition.

These definitions are equivalent to one another, so the most convenient definition can be used to determine whether a given function is continuous or not.

Equivalent definitions can be given using μ-recursive functions, Turing machines or λ-calculus as the formal representation of algorithms.

The differential map provides the link between the two alternate definitions of the cotangent bundle given above.

Turing's " definitions " given in a footnote in his 1939 Ph. D. thesis Systems of Logic Based on Ordinals, supervised by Church, are virtually the same:

Some definitions focus on the question of the probability of encountering a given condition of a system once characteristics of the system are specified.

Given that a natural language such as English contains, at any given time, a finite number of words, any comprehensive list of definitions must either be circular or rely upon primitive notions.

The four definitions given above are special cases of a more general definition.

Procedures and definitions for calculation of efficiency are given in test codes such as ASME PTC 18 and IEC 60041.

According to some definitions, the term " Lorentz force " refers specifically to the formula for the magnetic force, with the total electromagnetic force ( including the electric force ) given some other ( nonstandard ) name.

The definitions of terms used in the two tables of equations are given in another table immediately following.

When ' millimetres of mercury ' or ' inches of mercury ' are quoted today, these units are not based on a physical column of mercury: they have been given precise definitions that can be expressed in terms of SI units.

His 1828 American Dictionary contained the greatest number of Biblical definitions given in any reference volume.

Several set-theoretic definitions of the ordered pair are given below.

The definition given here is one of several possible oracle machine definitions.

The rejection of traditional forms and structures for poetry that began in the first half of the 20th century coincided with a questioning of the purpose and meaning of traditional definitions of poetry and of distinctions between poetry and prose, particularly given examples of poetic prose and prosaic poetry.

The definitions that we have given here are the ones usually used today ; however, some authors switch the meanings of the two kinds of terms, or use all terms synonymously for only one condition.

These either contain specialised vocabulary within general topology or provide more detailed expositions of the definitions given below.

An 1898 American legal textbook on defamation provides definitions of libel and slander nearly identical to those given by Blackstone and Coke.

Phylogenetic groups are given definitions based on their relationship to one another, rather than purely on physical traits such as the presence of a backbone.

Each convex set containing X must ( by the assumption that it is convex ) contain all convex combinations of points in X, so the set of all convex combinations is contained in the intersection of all convex sets containing X. Conversely, the set of all convex combinations is itself a convex set containing X, so it also contains the intersection of all convex sets containing X, and therefore the sets given by these two definitions must be equal.

Note that the axioms are given in terms of the maps ( binary product, unary inverse, and nullary identity ), hence are categorical definitions.

There is no set time period for the era, and many arbitrary definitions are given.

It is important to realize that for each of the definitions given above for infinite sequences, if one adds a billion zeros to the front of the random sequence the new sequence will still be considered random.

* TABLES section – This section contains definitions of named items.

The situation is further complicated by the traditional uses of the terms parallel and distributed algorithm that do not quite match the above definitions of parallel and distributed systems ; see the section Theoretical foundations below for more detailed discussion.

The British set up the Political Warfare Executive to produce and distribute ' black ' and ' white ' propaganda ( see Categories of psychological warfare section for definitions ).

The abstract single-argument " round ()" function that returns an integer from an arbitrary real value has at least a dozen distinct concrete definitions presented in the rounding to integer section.

This section summarizes some of the more common definitions and the relations between them.

Note When applied to normed spaces, the definitions in this section coincide with the notion of reflexivity for normed spaces.

In this section, the central concepts and definitions of domain theory will be introduced.

Current definitions of the traditional longbow require approximations of a D-shaped cross section.

Although lists of general and industry-specific measure definitions can be found in the case studies and methodological articles and books presented in the references section.

This confusion is evident in definitions of a critical section such as "... a piece of code that can only be executed by one process or thread at a time ".

: See French units of measurement for the definitions of the units used in this section.

New editions of Strong's may exclude the comparative section ( 1611 KJV to 1614 ) and the asterisks that denote differential definitions of the same Hebrew or Greek words ; due perhaps to denominational considerations, definitions may also be altered.

It currently refers to the southernmost section of Riverdale, below West 232nd Street, or below 239th Street by some definitions.

It is set out as a comprehensive textbook, complete with commentaries, a section in each chapter dedicated to further reflection upon the commentaries, definitions of terms, tables of questions and answers, an introduction clarifying how to study Kabbalah in the correct manner, and also a summarized preface of the entire text.

This section presents a list of definitions, proceeding from the weakest notion to the strongest notion.

It also includes a reference section called the " Encyclopedia of Marxism ," containing definitions of Marxist terms, short biographies, and historical material.

After presenting some further definitions and instances about the beautiful and the sublime, in this section, Kant explains that one should be truly virtuous to feel the finer feelings.

( Separating the definitions in this way is useful in the absence of the axiom of choice ; see the next section.

This section contains an explanation of the basic framework of rough set theory ( proposed originally by Zdzisław I. Pawlak ), along with some of the key definitions.

As the Scottish law of treasure trove on the matter has not changed, it is discussed in the " Present-day legal definitions " section below, under the subheading " Scotland ".

Hierarchies of classes support inheritance of a property domain and range ( see definitions in next section ) from a class to its subclasses.

( Refer to the definitions in the Sale and labeling section of the article on Processed cheese.