More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.

More generally, in a k-dimensional array, the address of an element with indices i < sub > 1 </ sub >, i < sub > 2 </ sub >, …, i < sub > k </ sub > is

More recently, an abettor is generally known as an accomplice.

More expensive pigments are generally replicated by hues.

More generally, one curve is a curvilinear asymptote of another ( as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although usually the term asymptote by itself is reserved for linear asymptotes.

More generally, as noted by A. W.

More generally, a binary relation between two sets A and B is a subset of.

More generally, a new component is said to be backward compatible if it provides all of the functionality of the old component.

More generally, every C *- algebra is a Banach algebra.

More generally, a series

More generally, if ƒ has a branch-point near the origin of such a nature that then

More generally, calculus ( plural calculi ) refers to any method or system of calculation guided by the symbolic manipulation of expressions.

More generally, many philosophers and scientists have been unhappy about the difficulty of producing a definition that does not involve circularity or fuzziness.

More broadly, philosophers who do not accept the possibility of zombies generally believe that consciousness is reflected in behavior ( including verbal behavior ), and that we attribute consciousness on the basis of behavior.

Among the teachings of Jesus Christ in the Gospel of Luke and the Gospel of Matthew, the message to his followers that one should " Turn the other cheek " and his example in the story Pericope Adulterae, in which Jesus intervenes in the stoning of an adulteress, are generally accepted as his condemnation of physical retaliation ( though most scholars agree that the latter passage was " certainly not part of the original text of St John's Gospel ") More militant Christians consider Romans 13: 3 – 4 to support the death penalty.

* More generally, compact groups such as an orthogonal group are compact, while groups such as a general linear group are not.

More generally, compact sets can be separated by open sets: if K < sub > 1 </ sub > and K < sub > 2 </ sub > are compact and disjoint, there exist disjoint open sets U < sub > 1 </ sub > and U < sub > 2 </ sub > such that and.

More generally, electric current can be represented as the rate at which charge flows through a given surface as:

More generally, the idea of a contractive mapping can be defined for maps between metric spaces.

More generally, unspecific coercion may be the form taken by disciplinary coercion, and this appears to be in fact the case within the most effective command systems of the modern world.

More generally, judges look at the difficulty and execution of jumps, stunts and tumbling, synchronization, creativity, the sharpness of the motions, showmanship, and overall routine execution.

More generally among Baptists, a variety of parachurch agencies and evangelical educational institutions may be supported generously or not at all, depending entirely upon the local congregation's customs and predilections.

More generally, one can consider finite direct sums of matrix algebras.

More generally, inheritance now is quite different than those in the past.

More than 6 million cubic feet ( 168, 000 m < sup > 3 </ sup >) of water falls over the crest line every minute in high flow, and almost 4 million cubic feet ( 110, 000 m < sup > 3 </ sup >) on average.

More accurately, a cleanroom has a controlled level of contamination that is specified by the number of particles per cubic meter at a specified particle size.

More than 100 small cinder cones, often fissure-controlled parallel to the long axis of the massive 1, 400 cubic kilometres ( 336 cu mi ) volcano, occur on the flanks and surrounding lowlands.

More than 35, 000 cubic yards ( 27, 000 m³ ) of soil were added to create four terraces coinciding in height and pitch with the four runs of steps in the main staircase.

More than 60, 000 cubic meters of toxic waste, including textile dying, printing, washing and pharmaceuticals, are released into the main water bodies of Dhaka every day.

More than 40 % of the area is covered by taiga forests having the timber reserves of 3. 5 billion cubic meters.

More than 50, 000 cubic metres of soil have been excavated and moved to make way for subway tunneling.

More than 50 million cubic meters of debris slid approximately 15 kilometers downhill at an angle of about 14 degrees.

More advanced questions involve the topology of the curve and relations between the curves given by different equations.

More generally, a parabola is a curve in the Cartesian plane defined by an irreducible equation — one that does not factor as a product of two not necessarily distinct linear equations — of the general conic form

More precisely, a straight line is said to be a tangent of a curve

More precisely, the signed curvature depends only on the choice of orientation of an immersed curve.

More precisely, a curve γ: I → M from an interval I of the reals to the metric space M is a geodesic if there is a constant v ≥ 0 such that for any t ∈ I there is a neighborhood J of t in I such that for any we have

More properly, a world line is a curve in spacetime which traces out the ( time ) history of a particle, observer or small object.

More experienced bowlers usually roll a hook, which means that they make the ball start out straight and then curve towards the pocket.

More specifically, the Q is equal to the quantity of indicator dye injected divided by the area under the dilution curve measured downstream ( the Stewart ( 1897 )- Hamilton ( 1932 ) equation ):

More generally, a chord is a line segment joining two points on any curve, such as but not limited to an ellipse.

More precisely, his method of infinite descent was an exploitation in particular of the possibility of halving rational points on an elliptic curve E by inversion of the doubling formulae.

They are a sort of dirac delta along the curve c, accomplished by taking the differential of a unit step function that drops from 1 to 0 across c. More formally, we begin by defining for a simple closed curve c on X, a function f < sub > c </ sub > by letting be a small strip around c in the shape of an annulus.

More specifically, with constant returns to scale, there are two opportunities for a linear PPF: firstly, if there was only one factor of production to consider, or secondly, if the factor intensity ratios in the two sectors were constant at all points on the production-possibilities curve.

More complex variations change the lengths of the struts to curve the overall structure or may incorporate other geometrical shapes.

More generally, the theorem follows immediately from the Crofton formula in integral geometry according to which the length of any curve equals the measure of the set of lines that cross the curve, multiplied by their numbers of crossings.

More generally, one can compactify F-theory on an elliptically fibered manifold ( elliptic fibration ), i. e. a fiber bundle whose fiber is a two-dimensional torus ( also called an elliptic curve ).

More generally, a contour line for a function of two variables is a curve connecting points where the function has the same particular value.

More importantly, that curve could also be used to produce a beautiful distribution of natural light from a slot in the top of the gallery across the entire gallery ceiling.

More precisely, at any point R on C, let T be the tangent line at R. There is then a unique point X on T which is either P ( in case P lies on T ) or forms with P a line perpendicular to T. The pedal curve is the set of such points X, called the foot of the perpendicular to T from P, as R ranges over points C.

More precisely, given a curve attached to a plane which is moving so that the curve rolls without slipping along a given curve attached to a fixed plane occupying the same space, then a point attached to the moving plane describes a curve in the fixed plane called a roulette.