`` For instance, regarding the fact that the Gross Committee issued two interim announcements to the press during its investigation.

For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.

For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.

For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??

For instance, a site adjoining other publicly owned lands, such as a national forest or a public road, may be desirable, whereas a site next to an industrial plant might not.

( For instance, see Example 2 of Section 5-5, on red cards in hands of 5.

For instance, the following statement was rated low in compulsivity, `` She's naturally quite neat about things, but it doesn't bother her at all if her room gets messy.

For instance, in giving school grades or in making recommendations for the award of a college scholarship, does he consciously or unconsciously favor students of one or another social class??

For instance, there have been two Presidential Commissions on higher education since World War 2.

For instance, the dreamer sees himself seated behind neighbor Smith and, with photographic realism, sees Smith driving the car ; ;

For instance:

`` For instance, Djakarta, Indonesia, has three groups of dancers interested in coming here.

For instance, the Edwin Pauleys Jr., formerly of Chantilly Rd., are now at home on North Arden Dr. in Beverly Hills.

For instance, we cannot know whether even for church members the degree of conformity to Christian standards of morality increased or declined as the proportion of church members in the population rose.

`` For instance, Hesperus agreed to help me find my property, and I agreed to take him to Earth.

For instance, a C-Leg knee alone is not a prosthesis, but only a prosthetic part.

For instance, the word " bank " has several distinct lexical definitions, including " financial institution " and " edge of a river ".

For instance, a local society in the middle of a large city may have regular meetings with speakers, focusing less on observing the night sky if the membership is less able to observe due to factors such as light pollution.

For instance, according to Classical Arabic and Modern Standard Arabic, the Arabic root ( to sacrifice ) can be derived the forms ( he sacrificed ), ( you ( masculine singular ) sacrificed ), ( he slaughtered ), ( he slaughters ), and ( slaughterhouse ).

For instance, we read of Whiting, the last abbot of Glastonbury, judicially murdered by Henry VIII, that his house was a kind of well-ordered court, where as many as 300 sons of noblemen and gentlemen, who had been sent to him for virtuous education, had been brought up, besides others of a lesser rank, whom he fitted for the universities.

For instance, the n

For instance, in 51, Agrippina ordered the execution of Britannicus ’ tutor Sosibius because he had confronted her and was outraged by Claudius ’ adoption of Nero and his choice of Nero as successor, instead of choosing his own son Britannicus.

For instance, antibacterial resistance genes can be exchanged between different bacterial strains or species via plasmids that carry these resistance genes.

For instance, iron changes from a body-centered cubic structure ( ferrite ) to a face-centered cubic structure ( austenite ) above 906 ° C, and tin undergoes a transformation known as tin pest from a metallic phase to a semiconductor phase below 13. 2 ° C.

For instance member nations of the Commonwealth where English is not spoken natively, such as India, often closely follow British English forms, while many American English usages are followed in other countries which have been historically influenced by the United States, such as the Philippines.

For shapes with curved boundary, calculus is usually required to compute the area.

For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.

For governance ease, the Spaniards developed a complicated breeding calculus to classify people into twenty-one castas, or genizaros.

Newton sought to remove the use of infinitesimals from his fluxional calculus, preferring to talk of velocities as in " For by the ultimate velocity is meant ... the ultimate ratio of evanescent quantities ".

For example, advances in the understanding of electromagnetism or nuclear physics led directly to the development of new products which have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons ; advances in thermodynamics led to the development of industrialization ; and advances in mechanics inspired the development of calculus.

For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences ; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science ; they are used in calculus and numerical analysis to approximate other functions.

For a great many functions and practical applications, the Riemann integral can also be readily evaluated by using the fundamental theorem of calculus or ( approximately ) by numerical integration.

For this reason, generalizations of vector operations to matrices ( e. g. in matrix calculus and statistics ) often involve a trace of matrix products.

For more general demand and supply functions, these areas are not triangles but can still be found using integral calculus.

For this reason he introduced his alternative system, the sequent calculus for which he proves the Hauptsatz both for classical and intuitionistic logic.

For example, from elementary calculus, we know that a necessary condition for a local minimum or a maximum of a differentiable function is a vanishing first derivative ( that is, the first derivative is becoming zero ).

For example, if you know that the integral of exp ( x ) is exp ( x ) from calculus with exponentials and that the integral of cos ( x ) is sin ( x ) from calculus with trigonometry then:

For any x, the fundamental theorem of calculus says that

For a more modern parallel treatment of combinatory logic and the lambda calculus, see Barendregt

For instance, they do not exist in simply typed lambda calculus.

For example, determining the volume of a sphere requires a significant amount of integral calculus ; but, having done this once, mathematicians can produce a formula to describe the volume in terms of some other parameter ( the radius for example ).

For example, in The Theory of Political Economy, Chapter II, the subsection on " Theory of Dimensions of Economic Quantities ", Jevons makes the statement that " In the first place, pleasure and pain must be regarded as measured upon the same scale, and as having, therefore, the same dimensions, being quantities of the same kind, which can be added and subtraced ...." Speaking of measurement, addition, and subtraction requires cardinality, as does Jevons ' heavy use of integral calculus.

For instance, the expression f ( x ) dx from one-variable calculus is called a 1-form, and can be integrated over an interval in the domain of f:

For her work on calculus ( 1914 – 16 ), she was awarded the Gamble Prize.

For instance, in a sequent calculus where cut elimination holds, the cut rule is admissible.

For discrete calculation without calculus, marginal cost equals the change in total ( or variable ) cost that comes with each additional unit produced.

For example the dependently typed lambda calculus with a type of all types ( Type: Type ) is not normalizing due to Girard's paradox.