For the case of Jupiter, the radio emission spectrum is definitely not like the spectrum of a black-body radiator, and it seems very likely that the radiation reaching the earth is a combination of thermal radiation from the atmosphere and non-thermal components.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

For the incremental case ( i. e., ), this simplifies to:

For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case.

For private suits only the victims or their families could prosecute, while for public suits anyone ( ho boulomenos, ' whoever wants to ' i. e. any citizen with full citizen rights ) could bring a case since the issues in these major suits were regarded as affecting the community as a whole.

For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.

For this last case, the cohesive fracture can be said to be “ cohesive near the interface ”.

For some specializations within conservation this is still the case.

For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

For larger quantities one must go to a beverage distributor which sells beer only by the case or keg.

For example, bacteria catalyse the breakdown of the mineral pyrite ( FeS < sub > 2 </ sub >) by oxidising the sulfur and metal ( in this case ferrous iron, ( Fe < sup > 2 +</ sup >)) using oxygen.

For case of single stranded DNA / RNA units of nucleotides are used, abbreviated nt ( or knt, Mnt, Gnt ), as they are not paired.

For example in the case of anthrax, it is likely that by 24 – 36 hours after an attack, some small percentage of individuals ( those with compromised immune system or who had received a large dose of the organism due to proximity to the release point ) will become ill with classical symptoms and signs ( including a virtually unique chest X-ray finding, often recognized by public health officials if they receive timely reports ).

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

For case,

For example, most areas of law in most Anglo-American jurisdictions include " statutory law " enacted by a legislature, " regulatory law " promulgated by executive branch agencies pursuant to delegation of rule-making authority from the legislature, and common law or " case law ", i. e., decisions issued by courts ( or quasi-judicial tribunals within agencies ).

For example, civil law can be clearer than case law when the legislature has had the foresight and diligence to address the precise set of facts applicable to a particular situation.

For example, in the case of acetic acid dissolved in water and forming acetate and hydronium ions,

For example, the 1972 Constitution designates the Prime Minister as constitutional successor of the Head of State in case of incapacity, death, resignation or unaccountable absence of the incumbent.

For example, in one case, a prominent Chicana feminist writer and poet has indicated the following subjective meaning through her creative work.

For example in the Netherlands, the law assumes the stronger participant ( e. g. a car driver ) is liable in the case of an accident with a weaker participant ( e. g. a cyclist ) unless it can be proved that the cyclist's behavior could not have been expected.

) For the casuist, the circumstances of a case are essential for evaluating the proper response.

For discouragement, or the temptation to abandon our efforts, `` would show that one placed excessive trust in purely human means without thinking of the omnipotence of God, the irresistible efficacy of prayer, the action of Christ or the power of the Divine Spirit ''.

For example, the level of improvement noted in a recent experiment with a short course of immediate treatment for parent-child relationship problems compared favorably with the results reported by typical child guidance clinics where the hours spent in purely diagnostic study may equal or exceed the number of hours devoted to actual treatment interviews in the experimental project.

For purely inertial navigators, two techniques are available to accomplish the platform heading: Use of external or surveying equipment to establish proper heading ; ;

For many years, the events described in " The Curse of Akkad " were thought, like the details of Sargon's birth, to be purely fictional.

For example, a purely dodecahedral virus has a T-number of 1 ( usually written, T = 1 ) and a truncated icosahedron is assigned T = 3.

For real values of, we have and for purely imaginary we have hence has a limit at 0 ( i. e., ƒ is complex differentiable at 0 ) if and only if.

For this reason, a number of martial arts schools have focused purely on therapeutic aspects, de-emphasizing the historical aspect of self-defense or combat completely.

For example, some may speak of predestination from a purely physical perspective, such as in a discussion of time travel.

For light propagating purely perpendicular to the axis of gyration, the properties are known as the Cotton-Mouton effect and used for a Circulator.

For instance, in the transport equation, which describes a number of different transport phenomena, terms are separated into " convective " and " diffusive " effects, with " convective " meaning purely advective in context.

For instance, while peptic ulcer was once thought of as being purely caused by stress, later research revealed that Helicobacter pylori caused 80 % of ulcers.

For example, Sigmund Freud claimed to have dreamed purely in aural-images of dialogs.

For this reason all contact lenses, even purely cosmetic ones, are classified as medical devices in many countries ( USA, UK ).

For example, the similarity in autosomal DNA between the Emperor Keitai of Japan, and the current Emperor, approximately 1, 500 years later, is no more than would be expected between any two random persons of purely Japanese ancestry.

For a purely enabling ( and voluntaristic ) concept of power see the works of Anthony Giddens.

For example if he is " a piece up " ( i. e. has a material advantage ) a strategy is to play purely defensive moves and try to make all subsequent exchange of material equal or better, and then use that advantage at the end.

For example, ordinary differential equations and symplectic geometry are generally viewed as purely mathematical disciplines, whereas dynamical systems and Hamiltonian mechanics belong to mathematical physics.

For instance, a dipole using a fairly thin conductor will have a purely resistive feedpoint impedance of about 63 ohms at its design frequency.

For example, programs written in C ++ or Object Pascal can be purely procedural, or purely object-oriented, or contain elements of both paradigms.

For example, present-day descendants of these offspring can appear solely sub-Saharan in lineage, including having extremely afro-textured hair, or possess purely Nordic physical traits.

For a purely resistive load, a simpler equation can be used, based on the root mean square ( RMS ) values of the voltage and current waveforms:

For a purely viscous fluid, there will be a 90 degree phase lag of strain with respect to stress.

For example, current flowing in the antenna creates a purely magnetic component in the near-field, which then collapses as the antenna current begins to reverse, causing transfer of the field's magnetic energy back to electrons in the antenna as the changing magnetic field causes a self-inductive effect on the antenna that generated it.