While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given a fixed budget, this can allow an increased sample size.

Given high fixed costs, the new price was below average total cost, resulting in a loss.

Given fixed resources, it is often better to spend more time collecting additional training data and more informative features than it is to spend extra time tuning the learning algorithms.

Given the object's fixed internal moment of inertia tensor and fixed external angular momentum, the instantaneous angular velocity is.

Given a fixed physical relationship in space between the different individual microphone transducer array elements, simultaneous DSP ( digital signal processor ) processing of the signals from each of the individual microphone array elements can create one or more " virtual " microphones.

Given expectations about returns on fixed investment, every level of the real interest rate ( i ) will generate a certain level of planned fixed investment and other interest-sensitive spending: lower interest rates encourage higher fixed investment and the like.

Given a large enough audience, peers, readers and commentators, almost all problematic content will be quickly noticed highlighted and fixed.

De Rationis Sectione sought to resolve a simple problem: Given two straight lines and a point in each, draw through a third given point a straight line cutting the two fixed lines such that the parts intercepted between the given points in them and the points of intersection with this third line may have a given ratio.

Given a source with a fixed voltage and fixed source impedance, the maximum power theorem says this is the only way to extract the maximum power from the source.

Given a transmission line source with a fixed source impedance, this " reflectionless impedance matching " at the end of the transmission line is the only way to avoid reflecting echoes back to the transmission line.

Given two functions, in order to apply the Banach fixed point theorem we want

) Given a fixed density, one may construct a nilpotent BV Δ operator as

Given a fixed oriented line L in the Euclidean plane R < sup > 2 </ sup >, a meander of order n is a non-self-intersecting closed curve in R < sup > 2 </ sup > which transversally intersects the line at 2n points for some positive integer n. Two meanders are said to be equivalent if they are homeomorphic in the plane.

Given a fixed knowledge base and a revision operator, one can define a non-monotonic inference relation using the following definition: if and only if.

Given a fixed thickness of armour plate, a projectile striking at an angle must penetrate more armour than one impacting perpendicularly.

< li > Given a known three-dimensional object with a fixed radiation source inside, deduce the shape and size of the source based on measurements done on part of the boundary of the object.

This porism, expressed in modern language, asserts the following: Given four straight lines of which three turn about the points in which they meet the fourth, if two of the points of intersection of these lines lie each on a fixed straight line, the remaining point of intersection will also lie on another straight line.

Given a label set with an involution, and a fixed set of words in the elements of the label set, a planar algebra consists of a collection of modules, one for each element in, together with an action of the operad of tangles labelled by.

→ Given a fixed stock of labor, the impact on output of the last unit of capital accumulated will always be less than the one before.

Given a structure or interpretation, a sentence will have a fixed truth value.

Given this, the bidding is said to start at the one-level when contracting for a total of seven tricks, at the two-level for eight tricks and so on to the seven-level to contract to take all thirteen tricks.

Given a set S with a partial order ≤, an infinite descending chain is a chain V that is a subset of S upon which ≤ defines a total order such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.

# Minimisation operator: Given a ( k + 1 )- ary total function:

Given a total circulation of 56 billion coins, counterfeit coins are relatively rare.

Given the ( period, cash flow ) pairs (, ) where is the total number of periods, the net present value is given by:

Given the ( period, cash flow ) pairs (, ) where is a positive integer, the total number of periods, and the net present value, the internal rate of return is given by in:

Given a precomplete numbering then for any partial computable function with two parameters there exists a total computable function with one parameter such that

Given an inelastic reaction with total incoming energy larger than the total detected energy ( i. e. not all outgoing particles are detected in the experiment ), the invariant mass ( also known as the " missing mass ") of the reaction is defined as follows:

Given a total interaction cross section σ ( typically measured in barns ), the mean free path of a prompt neutron is where n is the nuclear number density.

Given Bluestein's algorithm, such a transform can be used, for example, to obtain a more finely spaced interpolation of some portion of the spectrum ( although the frequency resolution is still limited by the total sampling time ), enhance arbitrary poles in transfer-function analyses, etcetera.

Given its production function and cost structure, it knows its average total costs at that output level will be represented as point A.

Given this, sabermetricians generally regard Cy Young's total of 749 complete games as the career baseball record most unlikely to ever be broken.

Given an oriented manifold M of dimension n with fundamental class, and a G-bundle with characteristic classes, one can pair a product of characteristic classes of total degree n with the fundamental class.

Given at the discretion of the Council of the Academy on the recommendation of a nominating committee, the prize is awarded to a person for his or her total literary achievement rather than for a specific work.

Given the total energy E and the length ( magnitude ) p of the total momentum vector, the invariant mass is given by:

The original problem was stated in the form that has become known as the Euclidean Steiner tree problem or geometric Steiner tree problem: Given N points in the plane, the goal is to connect them by lines of minimum total length in such a way that any two points may be interconnected by line segments either directly or via other points and line segments.

Given the near total destruction of its original habitat, and the lack of any confirmed sightings in over 50 years, most ornithologists believe the Imperial Woodpecker must be extinct.

Given the operational name Storm-333 and involving a combination of Spetsnaz, GRU, KGB, and Soviet paratroopers were a total of 24 men from the « Гром » (" Thunder ") detachment of Alpha Group.