* Every commutative real unital Noetherian Banach algebra with no zero divisors is isomorphic to the real or complex numbers.

* Every CW complex is Tychonoff.

Every logical calculation, from the simplest to the most complex, must complete in one clock cycle.

Every Riemann surface is a two-dimensional real analytic manifold ( i. e., a surface ), but it contains more structure ( specifically a complex structure ) which is needed for the unambiguous definition of holomorphic functions.

Every Salsa composition involves complex African percussion based around the Clave Rhythm ( which has four types ), though there can be moments when the clave is hidden for a while, often when quoting Charanga, Changüí and Bomba.

* Every real number greater than zero or every complex number except 0 has two square roots.

Every non-zero number x, real or complex, has n different complex number nth roots including any positive or negative roots, see complex roots below.

Every apartment A in a building is a Coxeter complex.

Every Hermitian manifold is a complex manifold which comes naturally equipped with a Hermitian form and an integrable, almost complex structure.

Every vector bundle theory ( real, complex etc.

Anarchist historian Max Nettlau provided a more complex concept of propaganda when he said that " Every person is likely to be open to a different kind of argument, so propaganda cannot be diversified enough if we want to touch all.

Every complex manifold is itself an almost complex manifold.

Every hyperkähler manifold M has a 2-sphere of complex structures ( i. e. integrable almost complex structures ) with respect to which the metric is Kähler.

* Every character value is a sum of n m < sup > th </ sup > roots of unity, where n is the degree ( that is, the dimension of the associated vector space ) of the representation with character χ and m is the order of g. In particular, when F is the field of complex numbers, every such character value is an algebraic integer.

Every constellation of a complex postulates a disturbed state of consciousness.

Every complex number can be represented in the form x + iy, where x and y are real numbers called the real part and the imaginary part of the complex number respectively.

* Every CW complex is compactly generated Hausdorff.

Every event with the exception of swimming and water polo was hosted under the premises of the main stadium only, the events of swimming and water polo were organised at the adjacent swimming pool within the premises of the complex.

Every ( normal ) Boolean algebra with operators can be represented as a field of sets on a relational structure in the sense that it is isomorphic to the complex algebra corresponding to the field.

Every real number, whether integer, rational, or irrational, has a unique location on the line.

Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as

Every node has a location, which is a number between 0 and 1.

The album's lead single, " She's Every Woman " peaked at number-one on the Billboard Country Chart, however its follow-up single, " The Fever " ( a cover of an Aerosmith song ) only peaked at number 23, becoming Brooks's first released Country single to not chart on the Top 10.

Every rational number has a unique representation as an irreducible fraction.

Every year the International Labour Conference's Committee on the Application of Standards examines a number of alleged breaches of international labour standards.

Every year from 1985 through 1993, the number of attendees tripled.

Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.

Every vector space has a basis, and all bases of a vector space have the same number of elements, called the dimension of the vector space.

Every ketose will have 2 < sup >( n-3 )</ sup > stereoisomers where n > 2 is the number of carbons.

Every aldose will have 2 < sup >( n-2 )</ sup > stereoisomers where n > 2 is the number of carbons.

The second single from the UK release was " With Every Heartbeat ", released in late July and reached number one on the UK singles chart.

# Every simple path from a given node to any of its descendant leaves contains the same number of black nodes.

Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by, where √ is called the radical sign or radix.

Every positive number a has two square roots:, which is positive, and, which is negative.

Every number is thought of as a decimal fraction with the initial decimal point omitted, which determines the filing order.

Every well-ordered set is uniquely order isomorphic to a unique ordinal number, called the order type of the well-ordered set.

Every twin prime pair except ( 3, 5 ) is of the form ( 6n − 1, 6n + 1 ) for some natural number n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8.

Every third odd number is divisible by 3, which requires that no three successive odd numbers can be prime unless one of them is 3.

Every dual number has the form z = a + bε with a and b uniquely determined real numbers.

# Every noun belongs to a unique number class.

* Hardy and Littlewood listed as their Conjecture I: " Every large odd number ( n > 5 ) is the sum of a prime and the double of a prime.

Every real number has an additive inverse ( i. e. an inverse with respect to addition ) given by.

Every nonzero real number has a multiplicative inverse ( i. e. an inverse with respect to multiplication ) given by ( or ).

Every real number, rational or not, is equated to one and only one cut of rationals.