Every simple module is cyclic, that is it is generated by one element.

Every group of prime order is cyclic, since Lagrange's theorem implies that the cyclic subgroup generated by

* Every cyclic group is locally cyclic, and every locally cyclic group is abelian.

* Every finitely-generated locally cyclic group is cyclic.

* Every subgroup and quotient group of a locally cyclic group is locally cyclic.

Note: Every cyclic permutation of definition type 1 will be constructed

Note: Every permutation over a set with k elements is a cyclic permutation of definition type 2 if and only if it is a cyclic permutation of definition type 1 with gcd ( k, offset )

Note: Every cyclic permutation of definition type 3 may be seen as an union of a cyclic permutation of definition type 2 and some fixed points.

Every cyclic permutation of definition type 2 may be seen ″ as a cyclic permutation of definition type 3 with zero fixed points.

Every prime power ( except powers of 2 ) has a primitive root ; thus the multiplicative group of integers modulo p < sup > n </ sup > ( or equivalently, the unit group of the ring ) is cyclic.

Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.

# Every man shall be called fairly in turn by the list on board of prizes, because over and above their proper share, they are allowed a shift of clothes.

Harrison had a number of " trademark " phrases, such as " Morning, Mom ", " Every brand new day should be opened like a precious gift ", " Stay well, stay happy, stay right here " and " Harry Harrison wishing you the best ... because that's exactly what you deserve !” Also, on the last day of every year, Harrison would bring his four children to work with him and at the end of his shift, he would join them in giving listeners New Year's wishes.

Every minute the clock gave an electric pulse, causing the mechanism to shift to the next minute.

Every Cosmic Month ( 10, 800 years ) there is a minor gaebyeok accompanied by a minor but sudden shift of the Earth's axis.

Every Cosmic Season ( 20, 000-50, 000 years ) there is a major gaebyeok with a more dramatic shift in the Earth's axis.

** Every surjective function has a right inverse.

Every bijective function g has an inverse g < sup >− 1 </ sup >, such that gg < sup >− 1 </ sup > = I ;

Every space filling curve hits some points multiple times, and does not have a continuous inverse.

< li > Every positive definite matrix is invertible and its inverse is also positive definite.

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 symplectic matrix is invertible with the inverse matrix given by

Every six rounds, a logical transformation layer is applied: the so-called " FL-function " or its inverse.

Every rotation Rot ( φ ) has an inverse Rot (− φ ).

Every reflection Ref ( θ ) is its own inverse.

Every animation in Trespasser is done using inverse kinematics.

Every join-semilattice is a meet-semilattice in the inverse order and vice versa.

* Every element of S has a unique inverse, in the above sense.

* Every element of S has at least one inverse ( S is a regular semigroup ) and idempotents commute ( that is, the idempotents of S form a semilattice ).

* Every group is an inverse semigroup.

* Every semilattice is inverse.

Every inverse semigroup S has a E-unitary cover ; that is there exists an idempotent separating surjective homomorphism from some E-unitary semigroup T onto S.

Every inverse semigroup has an F-inverse cover.

* Every word is conjugate to a cyclically reduced word.

Every 10 percent increase in the price of cigarettes reduced youth smoking by about seven percent and overall cigarette consumption by about four percent.

Every categorical proposition can be reduced to one of four logical forms.

Every five years the NZ Transport Agency will embark on a state highway review to consider whether the existing network should be expanded or reduced, according to traffic flows, changes in industry, tourism and development.

Every reduced word is an alternating product of elements of G and elements of H, e. g.

* Every first time purchaser of an automobile deprived the streetcars operator of income whilst simultaneously created additional traffic congestion which often reduced service speeds and thereby increased their operational costs and making the services less attractive to the remaining users.

Every field officer of his brigade was killed or wounded save two, and his brigade, already sadly reduced by its terrible sacrifices at Chancellorsville, lost in nearly 550 men out of the 1, 350 engaged.

* Every reduced commutative k-algebra A is a separable algebra ; i. e., is reduced for every field extension F / k.

Every field and every polynomial ring over a field ( in arbitrarily many variables ) is a reduced ring.

Every other interchange with major roads along the route ( Toorak, Burke, Tooronga and Warrigal Roads ) was an at-grade intersection controlled by traffic-lights, and because the road was constructed through residential areas, reduced speed limits were also enforced.

* Every time a loan balance is reduced, an equivalent number of bonds are identified by lottery and converted into a different bond also with a one cent par value ( that will convert at par into cash at the next payment date ).

Every new Queen's Counsel created reduced the Serjeants in importance, since even the most junior QC took precedence over the most senior Serjeant.