Given the broad scope of environmental law, no fully definitive list of environmental laws is possible.

Given the lax copyright laws of the time, stage plays based on Uncle Tom's Cabin —" Tom shows "— began to appear while the novel was still being serialized.

Given the variety of laws passed by Congress to disenfranchise US Citizens in Washington, DC or on US Bases, it is nearly impossible to thoroughly summarize two hundred years of history of disenfranchisement and alienation of in alienable rights, for Local, State and Federal Rights levels in these places.

Given an isolated physical system, the allowed states of this system ( i. e. the states the system could occupy without violating the laws of physics ) are part of a Hilbert space H. Some properties of such a space are

Given the large number of school students during and after the Industrial Revolution, when compulsory education laws increased student populations, open-ended assessment of all students decreased.

Given that anencephaly is a fatal condition, parents receive the option of abortion either in the second or third trimester of pregnancy, depending on the abortion laws in the state.

Sun and moon, these minister for aye ; The laws of day and night cease nevermore: Given for signs to Jacob's seed that they Shall ever be a nation — till these be o ' er.

Given the preceding jurisprudence regarding due process, Chief Justice Taney was not entirely breaking ground in his Dred Scott opinion when, without elaboration, he pronounced the Missouri Compromise unconstitutional because an " act of Congress that deprived a citizen of his liberty or property merely because he came himself or brought his property into a particular territory of the United States, and who had committed no offence against the laws, could hardly be dignified with the name of due process of law.

Given that ( A ) the Georges are among the most rational, principled and educated persons on the planet, and ( B ) their differences from normal humans are purely physical, they conclude that in any situation where the Three laws would come into play, their own orders should take priority over that of a regular human.

Given the series of medical data breaches and the lack of public trust, some countries have enacted laws requiring safeguards to be put in place to protect the security and confidentiality of medical information as it is shared electronically and to give patients some important rights to monitor their medical records and receive notification for loss and unauthorized acquisition of health information.

Given these laws, organizations are limited in the types of questions they legally are allowed to ask applicants in a job interview.

Given State and Local laws, types of weapon can also vary depending on type, size, sex of game and also the geographical layout of that specific hunting area.

Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).

Given a function f of type, currying it makes a function.

Given a function f ∈ I < sub > x </ sub > ( a smooth function vanishing at x ) we can form the linear functional df < sub > x </ sub > as above.

Given two manifolds M and N, a bijective map f from M to N is called a diffeomorphism if both

Given a subset X of a manifold M and a subset Y of a manifold N, a function f: X → Y is said to be smooth if for all p in X there is a neighborhood of p and a smooth function g: U → N such that the restrictions agree ( note that g is an extension of f ).

Given two groups G and H and a group homomorphism f: G → H, let K be a normal subgroup in G and φ the natural surjective homomorphism G → G / K ( where G / K is a quotient group ).

Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

Given f ∈ G ( x * x < sup >- 1 </ sup >, y * y < sup >-1 </ sup >) and g ∈ G ( y * y < sup >-1 </ sup >, z * z < sup >-1 </ sup >), their composite is defined as g * f ∈ G ( x * x < sup >-1 </ sup >, z * z < sup >-1 </ sup >).

Given a function f of a real variable x and an interval of the real line, the definite integral

Given a function ƒ defined over the reals x, and its derivative ƒ < nowiki > '</ nowiki >, we begin with a first guess x < sub > 0 </ sub > for a root of the function f. Provided the function is reasonably well-behaved a better approximation x < sub > 1 </ sub > is

# Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f ( x )

Given f

Given metric spaces ( X, d < sub > 1 </ sub >) and ( Y, d < sub > 2 </ sub >), a function f: X → Y is called uniformly continuous if for every real number ε > 0 there exists δ > 0 such that for every x, y ∈ X with d < sub > 1 </ sub >( x, y ) < δ, we have that d < sub > 2 </ sub >( f ( x ), f ( y )) < ε.

Given a morphism f: B → A the associated natural transformation is denoted Hom ( f ,–).

Given the space X = Spec ( R ) with the Zariski topology, the structure sheaf O < sub > X </ sub > is defined on the D < sub > f </ sub > by setting Γ ( D < sub > f </ sub >, O < sub > X </ sub >) = R < sub > f </ sub >, the localization of R at the multiplicative system

* Given an R-module M, the endomorphism ring of M, denoted End < sub > R </ sub >( M ) is an R-algebra by defining ( r · φ )( x ) = r · φ ( x ).

Given x ∈ A, the holomorphic functional calculus allows to define ƒ ( x ) ∈ A for any function ƒ holomorphic in a neighborhood of Furthermore, the spectral mapping theorem holds:

Given a groupoid in the category-theoretic sense, let G be the disjoint union of all of the sets G ( x, y ) ( i. e. the sets of morphisms from x to y ).

Given a groupoid G, the vertex groups or isotropy groups or object groups in G are the subsets of the form G ( x, x ), where x is any object of G. It follows easily from the axioms above that these are indeed groups, as every pair of elements is composable and inverses are in the same vertex group.

Given a binary operation ★ on a set S, an element x is said to be idempotent ( with respect to ★) if

In the same year a second referendum took place on May 5 dealing with the first electoral laws and on June 10 the first political elections in San Marino's history resulted in an overwhelming victory of the exponents of democracy.

The use of the quotient rule allows the extension of this rule for n as a negative integer, and the use of the laws of exponents and the chain rule allows this rule to be extended to all rational values of.

This can be checked by using laws of exponents and the power rule:

These, together with the algebraic laws of exponents, enables him to construct what is today known as The Calculus of Values.

For instance, if body A exerts a force of magnitude F on body B, and B exerts a force of magnitude f on A, then the ratio F / f is always equal to 1, regardless of the actual units used to measure F and f. This is a fundamental property of dimensionless proportions and follows from the assumption that the laws of physics are independent of the system of units used in their expression.

For instance, the French Foreign Legion and the Gurkhas of the British and Indian armies are not mercenaries under the laws of war, since although they may meet many of the requirements of Article 47 of Protocol I to the Geneva Conventions, they are exempt under clauses 47 ( a )( c )( d )( e )&( f ); some journalists describe them as mercenaries nevertheless.

Eight amendments were made to the laws which dealt with bad light, the toss, spirit of cricket, practice sessions, fielding athleticism and rare dismissals on September 30, 2010 w. e. f October 1, 2010.

Suppose that f is a homomorphism between one dimensional formal group laws over a field of characteristic p > 0.

Such laws do not have to be consistent with the fundamental liberties under Articles 5 ( Right to Life and Personal Liberty ), 9 ( No Banishment from Malaysia and Freedom of movement within Malaysia ), 10 ( Freedom of Speech, Assembly and Association ) or 13 ( Rights to Property ).< Ref > The laws passed under Article 149 must contain in its recital one or more of the statements in Article 149 ( 1 )( a ) to ( f ).

f ) perform other duties and authorities defined in the Constitution and in super majority laws.

Bak, Tang and Wiesenfeld's 1987 paper linked together these factors: a simple cellular automaton was shown to produce several characteristic features observed in natural complexity ( fractal geometry, 1 / f noise and power laws ) in a way that could be linked to critical-point phenomena.

Because of the growth of distance education that does not contain a face-to-face classroom setting revisions to these laws, particularly sections 110 ( 2 ) and 112 ( f ) of the U. S. Copyright Act, needed to be made.

The ADEA protects US citizens working for US employers operating abroad except where it would violate the laws of that country-ADEA 29 USC §§ 623 ( f )( 1 ), per Mahoney v. RFE / RL, Inc ( DC Cir.