Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).

* Every group G acts on G, i. e. in two natural but essentially different ways:, or.

Every man-made product is composed of natural resources ( at its fundamental level ).

* natural language — Every good boy deserves fruit ; and

Every smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural linear maps between the corresponding tangent spaces:

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 natural hollow is full of water, around the margin of which, long grasses, reeds and other aquatic plants grow in the greatest profusion, often making it difficult to say where the land ends and the water begins.

Every topological ring is a topological group ( with respect to addition ) and hence a uniform space in a natural manner.

Every smooth manifold defined in this way has a natural diffeology, for which the plots correspond to the smooth maps from open subsets of R < sup > n </ sup > to the manifold.

Every step of the process is natural and healthy, it is only when a person gets stuck in one step for a long period of time then the grieving can become unhealthy, destructive and even dangerous.

* Every number of the form 2 < sup > m </ sup > p for a natural number m and a prime number p such that p < 2 < sup > m + 1 </ sup > is also semiperfect.

* Every finite or cofinite subset of the natural numbers is computable.

Every minimal pair of natural numbers has and, for otherwise the pair would belong to and be at least as small in both coordinates, contradicting the assumption that is minimal.

Every finite ordinal ( natural number ) is initial, but most infinite ordinals are not initial.

Every year Plum Creek replants approximately 85 million seedlings and plans for the natural regeneration of millions of trees.

Every infinitely divisible probability distribution corresponds in a natural way to a Lévy process, i. e., a stochastic process

Every classical theorem that applies to the natural numbers applies to the non-standard natural numbers.

Every C *- algebra has an approximate identity of positive elements of norm ≤ 1 ; indeed, the net of all positive elements of norm ≤ 1 ; in A with its natural order always suffices.

* Every individual will have a responsibility to contribute back to the greater natural and social community from his / her Brown School experience.

These rights are guaranteed to " Every individual ," that is, every natural person.

Every aspect of the ecosystem from the different species of plants to the diversity of animal species contributes to natural services like water purification, provision of food, fuel, fiber, and biochemicals, nutrient cycling, pollination and seed dispersal, and climate regulation, just to name a few.

Every August it is held the " Strawberry Festival " where the producers exhibit their natural production or their by-products elaborated from the fruit.

Every year two or more junior Bachelors of Arts students who had made the greatest progress in mathematics and natural philosophy were to be awarded a prize from the fund.

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 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.