Roughly speaking the picture is the following:

Roughly speaking, all the forces involved in interactions between atoms can be explained by the electromagnetic force acting on the electrically charged atomic nuclei and electrons inside and around the atoms, together with how these particles carry momentum by their movement.

Roughly speaking, quantum mechanics has a much stronger statistical correlation with measurement results performed on different axes than do these hidden variable theories.

Roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape.

Roughly speaking, bosons have a tendency to clump into the same quantum state, which underlies phenomena such as the laser, Bose – Einstein condensation, and superfluidity.

Roughly speaking, Shannon's source coding theorem says that a lossless compression scheme cannot compress messages, on average, to have more than one bit of information per bit of message.

Roughly speaking the picture is the following:

Roughly speaking, in proving the first incompleteness theorem, Gödel used a slightly modified version of the liar paradox, replacing " this sentence is false " with " this sentence is not provable ", called the " Gödel sentence G ".

Roughly speaking, photons and particles with energies above about 10 electron volts ( eV ) are ionizing.

Roughly speaking, if we have a function y = f ( x ) that can be evaluated on a quantum computer, this algorithm allows us to calculate x when given y. Inverting a function is related to the searching of a database because we could come up with a function that produces a particular value of y if x matches a desired entry in a database, and another value of y for other values of x.

Roughly speaking, a molecular energy state, i. e. an eigenstate of the molecular Hamiltonian, is the sum of the electronic, vibrational, rotational, nuclear, and translational components, such that:

Roughly speaking, there is some anatomical distinction between the larvae of the Nematocera and the Brachycera ( see Classification section, below ); especially in the Brachycera, there is little demarcation between the thorax and abdomen, though the demarcation may be very visible in many Nematocera, such as mosquitoes ( see image, both here and in the mosquitoes article ); in the Brachycera, the head of the larva is not clearly distinguishable from the rest of the body, and there are few, if any, sclerites.

Roughly speaking, the uncertainty principle states that complementary variables ( such as a particle's position and momentum, or a field's value and derivative at a point in space ) cannot simultaneously be defined precisely by any given quantum state.

Roughly speaking, the area west of Chamberlayne Road, north of Harrow Road and south of Kensal Rise railway station is considered Kensal Green while that to the east of Chamberlayne Road and north of the station is considered Kensal Rise.

Roughly speaking the core of Miami Springs ( excluding the more recently annexed areas ) is roughly shaped as a triangle with three definable sides.

Roughly speaking, high sequence identity suggests that the sequences in question have a comparatively young most recent common ancestor, while low identity suggests that the divergence is more ancient.

Roughly speaking, the town is centered around the Cannon River and rises both to the east and the west away from this bisecting river body.

Roughly speaking, the reciprocity conjecture gives a correspondence between automorphic representations of a reductive group and homomorphisms from a Langlands group to an L-group.

Roughly speaking, the Langlands reciprocity conjecture is the special case of the functoriality conjecture when one of the reductive groups is trivial.

Roughly speaking, the distinction was that a rector directly received both the greater and lesser tithes of his parish while a vicar received only the lesser tithes ( the greater tithes going to the lay holder, or impropriator, of the living ); a perpetual curate with a small cure and often aged or infirm received neither greater nor lesser tithes, and received only a small salary ( paid sometimes by the diocese ).

Roughly speaking, the Ricci flow contracts positive curvature regions and expands negative curvature regions, so it should kill off the pieces of the manifold with the " positive curvature " geometries S < sup > 3 </ sup > and S < sup > 2 </ sup > × R, while what is left at large times should have a thick-thin decomposition into a " thick " piece with hyperbolic geometry and a " thin " graph manifold.

Roughly speaking, the advice could fall under one of the following three categories:

Roughly speaking, dissipativity theory is useful for the design of feedback control laws for linear and nonlinear systems.

Roughly speaking, if 0 < sup >#</ sup > exists then the universe V of sets is much larger than the universe L of constructible sets, while if it does not exist then the universe of all sets is closely approximated by the constructible sets.

Roughly speaking, the theorem states that although there are many series of results that may be produced by a random process, the one actually produced is most probably from a loosely defined set of outcomes that all have approximately the same chance of being the one actually realized.

Roughly speaking, monodromy studies the way a covering map can degenerate, while singularity theory studies the way a manifold can degenerate ; and these fields are linked.

In computational complexity theory, the complexity class FP is the set of function problems which can be solved by a deterministic Turing machine in polynomial time ; it is the function problem version of the decision problem class P. Roughly speaking, it is the class of functions that can be efficiently computed on classical computers without randomization.

Roughly, in Plantinga's theory of knowledge, warrant is that property of true beliefs that makes them knowledge.

Roughly speaking, it says that the maximum of a function in a domain is to be found on the boundary of that domain.

Roughly stated, the theorem says that if a formula φ implies a formula ψ then there is a third formula ρ, called an interpolant, such that every nonlogical symbol in ρ occurs both in φ and ψ, φ implies ρ, and ρ implies ψ.

Roughly speaking, the explicit formula says the Fourier transform of the zeros of the zeta function is the set of prime powers plus some elementary factors.

Roughly 88 % of people affected with AVM are asymptomatic ; often the malformation is discovered as part of an autopsy or during treatment of an unrelated disorder ( called in medicine " an incidental finding "); in rare cases its expansion or a micro-bleed from an AVM in the brain can cause epilepsy, deficit or pain.

; Induction variable analysis: Roughly, if a variable in a loop is a simple linear function of the index variable, such as, it can be updated appropriately each time the loop variable is changed.

Roughly, this means that every finitely generated group can be constructed from finite and one-ended groups via a finite number of amalgamated free products and HNN extensions over finite subgroups.

Roughly three-quarters of all Martian meteorites can be classified as Shergottites.

Roughly dividing the world into providers / producers and consumers / clients one can classify e-businesses into the following categories:

Roughly speaking any physical quantity multiplied by a length can be called moment.

Roughly speaking, differentiability puts a bound on how fast the curve can turn.

Roughly 1. 0 % of high net worth individuals ( HNWIs ) can also correctly be identified as ultra-high-net-worth individuals ( ultra-HNWIs ), those who reside in households with a net worth or wealth of $ 30 million or more.

Roughly, the idea is that necessary truths are true in all possible worlds, contradictions ( logical falsehoods ) are true in no possible worlds, and contingent propositions can be ordered in terms of the number of possible worlds in which they are true.

Roughly speaking, two curves C and C ′ in space are congruent if one can be rigidly moved to the other.

Roughly translated from Irish, Castlerea can mean Brindled Castle ( Caisleán Riabhach ) or King's Castle ( Caisleán Rí ).

Roughly translated, it means " swagger ," but can also be translated as " boldness, bravado ".

Roughly, we can distinguish three biological levels in the fauna or flora, after which technology can be modeled:

Roughly 750 million years ago, rift-related ( divergent ) volcanoes erupted along the axis of what later became the Appalachians, and one remnant of that volcanic zone, with its volcanic rocks, still can be seen at Mount Rogers.

Roughly, at the efficient operation of laser, the power of heat generated in the gain medium is proportional to the output power of the laser, and the coefficient of proportionality can be interpreted as heat generation parameter ; then, The heat generation parameter is basically determined by the quantum defect of the laser action, and one can estimate, where and are frequency of the pump and that of the lasing.

Roughly, three regions with characteristic species can be discerned: