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alternate case: sign convention
Mohr's circle
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different sign convention from the geomechanics literature. There is no standard sign convention, and the choice of a particular sign convention is influencedElectron affinity (1,467 words) [view diff] exact match in snippet view article find links to article
Electron affinity (Eea) vs atomic number (Z). Note the sign convention explanation in the previous section.Work (thermodynamics) (7,122 words) [view diff] exact match in snippet view article
thermodynamic work on a thermodynamic system, which is measured by an opposite sign convention. For thermodynamic work, appropriately chosen externally measured quantitiesIsobaric process (1,891 words) [view diff] exact match in snippet view article find links to article
the internal energy (U) of the system. This article uses the physics sign convention for work, where positive work is work done by the system. Using thisSpontaneous process (867 words) [view diff] exact match in snippet view article find links to article
thermodynamically stable energy state (closer to thermodynamic equilibrium). The sign convention for free energy change follows the general convention for thermodynamicBending moment (3,176 words) [view diff] exact match in snippet view article find links to article
y} direction of the beam. The minus sign is included to satisfy the sign convention. In order to calculate M x z {\displaystyle \mathbf {M} _{xz}} , weMoment-area theorem (517 words) [view diff] no match in snippet view article find links to article
The moment-area theorem is an engineering tool to derive the slope, rotation and deflection of beams and frames. This theorem was developed by Mohr andMoment distribution method (2,663 words) [view diff] exact match in snippet view article find links to article
{1}{2}}} Once a sign convention has been chosen, it has to be maintained for the whole structure. The traditional engineer's sign convention is not used inMagnification (2,262 words) [view diff] exact match in snippet view article find links to article
the distance of the object with respect to the front focal point. A sign convention is used such that d 0 {\textstyle d_{0}} and d i {\displaystyle d_{i}}Focal length (2,397 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mbox{BFD}}=f\left(1-{\frac {(n-1)d}{nR_{1}}}\right).} In the sign convention used here, the value of R1 will be positive if the first lens surfaceProton affinity (1,064 words) [view diff] exact match in snippet view article find links to article
shown above, while the proton affinity is positive. This is the same sign convention used for electron affinity. The property related to the proton affinityCanonical map (401 words) [view diff] exact match in snippet view article find links to article
choice of a canonical map sometimes depends on a convention (e.g., a sign convention). A closely related notion is a structure map or structure morphism;Theorem of three moments (983 words) [view diff] no match in snippet view article find links to article
In civil engineering and structural analysis Clapeyron's theorem of three moments (by Émile Clapeyron) is a relationship among the bending moments at threeSpectral index (739 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \alpha _{\lambda }=-\alpha _{\nu }-2.} The opposite sign convention is sometimes employed, in which the spectral index is given by S νLaplace pressure (553 words) [view diff] exact match in snippet view article find links to article
} ) is the surface tension. Although signs for these values vary, sign convention usually dictates positive curvature when convex and negative when concaveDifferential stress (353 words) [view diff] exact match in snippet view article find links to article
stress to cause a compressible object to increase in size, making the sign convention self-consistent. In structural geology, differential stress is usedLepton number (1,143 words) [view diff] exact match in snippet view article find links to article
the particles' electric charges. When following the electric-charge-sign convention, the lepton number (shown with an over-bar here, to reduce confusion)Vergence (optics) (1,174 words) [view diff] no match in snippet view article
In optics, vergence is the angle formed by rays of light that are not perfectly parallel to one another. Rays that move closer to the optical axis as theyMüller-Breslau's principle (562 words) [view diff] exact match in snippet view article find links to article
figure shows the influence line for shear at point B. Using the beam sign convention and cutting the beam at B, we can deduce the figure shown. Part (e)Interstate 87 (North Carolina) (2,422 words) [view diff] exact match in snippet view article
Norfolk, Virginia. It is signed as north–south, in keeping with the sign convention for most odd-numbered Interstates, but the route goes primarily east–westSuperalgebra (1,726 words) [view diff] exact match in snippet view article find links to article
literature. These can be called the "cohomological sign convention" and the "super sign convention". They differ in how the antipode (exchange of twoSeebeck coefficient (4,313 words) [view diff] no match in snippet view article find links to article
The Seebeck coefficient (also known as thermopower, thermoelectric power, and thermoelectric sensitivity) of a material is a measure of the magnitude ofLaplace's equation (5,083 words) [view diff] exact match in snippet view article find links to article
shrinks to a point (see weak solution). It is common to take a different sign convention for this equation than one typically does when defining fundamentalFresnel equations (8,252 words) [view diff] exact match in snippet view article find links to article
wave is considered to be s or p polarized, an artifact of the adopted sign convention (see graph for an air-glass interface at 0° incidence). The equationsIncidence matrix (1,287 words) [view diff] exact match in snippet view article find links to article
{-}}0&{\text{otherwise.}}\end{array}}\right.} (Many authors use the opposite sign convention.) The oriented incidence matrix of an undirected graph is the incidenceFaradaic current (357 words) [view diff] exact match in snippet view article find links to article
that substance due to the electric field between the electrodes. The sign convention regarding current is such that the migration current is negative forYaw (rotation) (799 words) [view diff] exact match in snippet view article
acceleration = tangential speed^2/radius of turn, in appropriate units The sign convention can be established by rigorous attention to coordinate systems. InIsochoric process (527 words) [view diff] exact match in snippet view article find links to article
{\displaystyle W=P\Delta V,} where P is pressure.[citation needed] The sign convention is such that positive work is performed by the system on the environmentCarnot's theorem (thermodynamics) (2,546 words) [view diff] exact match in snippet view article
and the conservation of energy for each engine as shown below. The sign convention of work W {\displaystyle W} , with which the sign of + for work doneThermodynamics (5,860 words) [view diff] exact match in snippet view article find links to article
The sign convention (Q is heat supplied to the system as, W is work done by the system) is that of Rudolf Clausius. The opposite sign convention is customaryPermittivity (4,437 words) [view diff] exact match in snippet view article find links to article
angle. The choice of sign for time-dependence, e−iωt, dictates the sign convention for the imaginary part of permittivity. The complex permittivity isThermodynamic square (1,011 words) [view diff] exact match in snippet view article find links to article
− p d V + T d S {\displaystyle dU=-p\,dV+T\,dS} . Notice that the sign convention will affect only the coefficients, not the differentials. Finally,Coordinate time (1,514 words) [view diff] exact match in snippet view article find links to article
potentials considered), and is represented using the positive astronomical sign convention for gravitational potentials. Also c is the speed of light, and v isStatics (1,743 words) [view diff] exact match in snippet view article find links to article
page. The moment direction may be accounted for by using a stated sign convention, such as a plus sign (+) for counterclockwise moments and a minus signEuler's four-square identity (2,538 words) [view diff] exact match in snippet view article find links to article
in a letter dated May 4, 1748 to Goldbach (but he used a different sign convention from the above). It can be verified with elementary algebra. The identityGravitation (book) (1,461 words) [view diff] exact match in snippet view article
that guarantee the output" of other tensors. MTW uses the − + + + sign convention, and discourages the use of the + + + + metric with an imaginary timeBarometric formula (1,217 words) [view diff] exact match in snippet view article find links to article
-6.5 K/km at sea level. This is the lapse rate with the opposite sign convention. H {\displaystyle H} = geopotential height at which pressure is calculatedVelocity (3,426 words) [view diff] exact match in snippet view article find links to article
the mass times the distance squared times the angular speed. The sign convention for angular momentum is the same as that for angular velocity. L =Clausius theorem (2,694 words) [view diff] exact match in snippet view article find links to article
respectively. In the proof of the Clausius theorem or inequality, a sign convention of heat is used; in the perspective of an object under considerationRicci decomposition (2,269 words) [view diff] exact match in snippet view article find links to article
Riemann curvature, as a (0,4)-tensor field. This article will follow the sign convention R i j k l = g l p ( ∂ i Γ j k p − ∂ j Γ i k p + Γ i q p Γ j k q − ΓList of formulas in Riemannian geometry (5,403 words) [view diff] exact match in snippet view article find links to article
is used throughout this article. This article uses the "analyst's" sign convention for Laplacians, except when noted otherwise. In a smooth coordinateLaws of thermodynamics (2,893 words) [view diff] exact match in snippet view article find links to article
work (W) done by the system on its surroundings. (Note, an alternate sign convention, not used in this article, is to define W as the work done on the systemVertex distance (923 words) [view diff] exact match in snippet view article find links to article
moved. The value for x can be positive or negative depending on the sign convention. Lens power in diopters is the mathematical inverse of focal lengthShear and moment diagram (907 words) [view diff] case mismatch in snippet view article find links to article
October 2013.{{cite web}}: CS1 maint: location (link) "Moment Diagram Sign Convention Poll". Eng-Tips Forum. Retrieved 25 October 2013. Emweb.unl.edu BeerElectric dipole moment (7,950 words) [view diff] exact match in snippet view article find links to article
of the external field). Note that this sign convention is used in physics, while the opposite sign convention for the dipole, from the positive chargeAccelerated failure time model (1,473 words) [view diff] exact match in snippet view article find links to article
of the covariates increase the survival time, but this is merely a sign convention; without a negative sign, they increase the hazard.) This is satisfiedIndex of youth articles (873 words) [view diff] no match in snippet view article find links to article
Children - Confirmation - Conscientious objector - Contracts (right to sign) - Convention on the Rights of the Child - Corporal punishment - Cost of raisingHeat (12,982 words) [view diff] exact match in snippet view article find links to article
its surroundings. The foregoing sign convention for work is used in the present article, but an alternate sign convention, followed by IUPAC, for work,Dielectric (4,775 words) [view diff] exact match in snippet view article find links to article
{\displaystyle 1-i\omega \tau } in the denominator due to an ongoing sign convention ambiguity whereby many sources represent the time dependence of the1791 in Canada (3,516 words) [view diff] exact match in snippet view article find links to article
including half of mainsail "to make themselves trousers" Britain and Spain sign convention allowing trade in each other's recent and future Pacific settlementsFermi–Walker transport (898 words) [view diff] exact match in snippet view article find links to article
to covariant derivatives. With a ( − + + + ) {\displaystyle (-+++)} sign convention, this is defined for a vector field X along a curve γ ( s ) {\displaystyleHeat pump and refrigeration cycle (2,394 words) [view diff] exact match in snippet view article find links to article
isothermally rejects heat in the amount QH < 0 (negative according to the sign convention for heat lost by the system). Also during this stage, the refrigerantHygroscopy (5,214 words) [view diff] exact match in snippet view article find links to article
contraction (CHC)—the difference between the two terms being a difference in sign convention. Differences in hygroscopy can be observed in plastic-laminated paperbackAmpère's circuital law (3,745 words) [view diff] exact match in snippet view article find links to article
imply that the flux through any surface with boundary C, with the same sign convention, is the same. In practice, one usually chooses the most convenientGibbs free energy (4,546 words) [view diff] exact match in snippet view article find links to article
(unitless), welec,rev, electrical work in a reversible process (chemistry sign convention), n, number of moles of electrons transferred in the reaction, F =Carnot heat engine (3,335 words) [view diff] exact match in snippet view article find links to article
piston), while causing an amount of waste heat QC < 0 (with the standard sign convention for heat) and of entropy ΔSC = QC/TC < 0 to flow out of the gas toDe Sitter space (2,222 words) [view diff] exact match in snippet view article find links to article
\mu }g_{\sigma \nu }-g_{\rho \nu }g_{\sigma \mu }\right)} (using the sign convention R ρ σ μ ν = ∂ μ Γ ν σ ρ − ∂ ν Γ μ σ ρ + Γ μ λ ρ Γ ν σ λ − Γ ν λ ρ ΓEnthalpy (6,106 words) [view diff] exact match in snippet view article find links to article
supply, we return to the first law for closed systems, with the physics sign convention: dU = δQ − δW, where the heat δQ is supplied by conduction, radiationCaspian Sea (9,014 words) [view diff] case mismatch in snippet view article find links to article
original on 13 August 2018. Retrieved 13 August 2018. "Five States Sign Convention On Caspian Legal Status". Radio Free Europe. Archived from the originalPropagation constant (2,359 words) [view diff] exact match in snippet view article find links to article
permeability of the media i {\displaystyle i} : the imaginary unit The sign convention is chosen for consistency with propagation in lossy media. If the attenuationGlossary of mathematical symbols (9,952 words) [view diff] exact match in snippet view article find links to article
^{2}}{\partial y^{2}}}-{\frac {\partial ^{2}}{\partial z^{2}}}~\;} ; the sign convention must be specified. In curved spacetime (or flat spacetime with non-EuclideanFirst law of thermodynamics (14,005 words) [view diff] exact match in snippet view article find links to article
quantity of heat, Q , {\displaystyle Q,} supplied to the system. With the sign convention of Rudolf Clausius, that heat supplied to the system is positive, butIsing model (13,291 words) [view diff] exact match in snippet view article find links to article
function H ( σ ) {\displaystyle H(\sigma )} is conventional. Using this sign convention, Ising models can be classified according to the sign of the interaction:Viscosity (11,509 words) [view diff] exact match in snippet view article find links to article
Stewart & Lightfoot 2007, p. 18: This source uses an alternative sign convention, which has been reversed here. Landau & Lifshitz 1987, p. 45. BalescuMagnetic circuit (2,671 words) [view diff] exact match in snippet view article find links to article
subtracting the constituent loop currents as indicated by the adopted sign convention and loop orientations.) Per Ampère's law, the excitation is the productNoble gas (9,717 words) [view diff] case mismatch in snippet view article find links to article
(1997). "Electron Affinities of the Alkaline Earth Metals and the Sign Convention for Electron Affinity". Journal of Chemical Education. 74 (1): 123–127Internal energy (5,040 words) [view diff] exact match in snippet view article find links to article
one kilogram of water by one degree Celsius. This article uses the sign convention of the mechanical work as often defined in engineering, which is differentEntropy (14,192 words) [view diff] exact match in snippet view article find links to article
Q_{\mathsf {C}}\right\vert } absorbed over a cycle. Thus, with the sign convention for a heat Q {\textstyle Q} transferred in a thermodynamic processInternal energy (5,040 words) [view diff] exact match in snippet view article find links to article
one kilogram of water by one degree Celsius. This article uses the sign convention of the mechanical work as often defined in engineering, which is differentTensor density (3,727 words) [view diff] exact match in snippet view article find links to article
be represented by tensor densities of weight +1. Some authors use a sign convention for weights that is the negation of that presented here. In contrastBernoulli number (13,153 words) [view diff] exact match in snippet view article find links to article
affected: B− n with B− 1 = −1/2 (OEIS: A027641 / OEIS: A027642) is the sign convention prescribed by NIST and most modern textbooks. B+ n with B+ 1 = +1/2Massey product (1,885 words) [view diff] exact match in snippet view article find links to article
t {\displaystyle ut} have the same boundary, subtracting them (the sign convention is to correctly handle the grading) gives a cocycle (the boundary ofGinzburg–Landau theory (4,159 words) [view diff] no match in snippet view article find links to article
}}_{A}+{\overline {\partial }}_{A}\partial _{A}\right)} Note that in the sign-convention being used here, both A 1 , 0 , A 0 , 1 {\displaystyle A^{1,0},A^{0Non-linear least squares (4,539 words) [view diff] exact match in snippet view article find links to article
Gauss–Newton algorithm for a non-linear least squares problem. Note the sign convention in the definition of the Jacobian matrix in terms of the derivativesPin group (2,502 words) [view diff] exact match in snippet view article find links to article
Pin(n, 0) and Pin(0, n) are in general not isomorphic. Using the "+" sign convention for Clifford algebras (where v 2 = Q ( v ) ∈ C l ( V , Q ) {\displaystyleBond graph (7,253 words) [view diff] exact match in snippet view article find links to article
here, and discussed in more detail below. One is the "half-arrow" sign convention. This defines the assumed direction of positive energy flow. As withPontryagin's maximum principle (1,645 words) [view diff] exact match in snippet view article find links to article
variations Whether the extreme value is maximum or minimum depends on the sign convention used for defining the Hamiltonian. The historic convention leads toOtto cycle (4,251 words) [view diff] exact match in snippet view article find links to article
}-U_{1}\right)+\left(U_{4}-U_{3}\right)=+4-5=-1} (again, using the sign convention, the minus sign implies energy is leaving the system as work) If theDiffraction grating (5,794 words) [view diff] exact match in snippet view article find links to article
The choice of + or – in the path difference formula depends on the sign convention for Θ m {\displaystyle \Theta _{\mathrm {m} }} : plus if Θ m = Θ iDiscrete Chebyshev polynomials (1,207 words) [view diff] exact match in snippet view article find links to article
_{k=1}^{n}(N^{2}-k^{2}).} This fixes the polynomials completely along with the sign convention, t n N ( N − 1 ) > 0 {\displaystyle t_{n}^{N}(N-1)>0} . If the independentLevi-Civita symbol (5,182 words) [view diff] exact match in snippet view article find links to article
number of negatives in the signature of the metric tensor in either sign convention): E α β γ δ E ρ σ μ ν = − g α ζ g β η g γ θ g δ ι δ ρ σ μ ν ζ η θ ιBunyakovsky conjecture (1,882 words) [view diff] exact match in snippet view article find links to article
positive integers n {\displaystyle n} . (This merely satisfies the sign convention that primes are positive.) The second condition is necessary becauseSoil mechanics (7,726 words) [view diff] exact match in snippet view article find links to article
considered to be negative, which is different from the solid mechanics sign convention for stress. For level ground conditions, the total vertical stressRelativistic Doppler effect (5,741 words) [view diff] exact match in snippet view article find links to article
v\,} as measured by an observer on the receiver or the source (The sign convention adopted here is that v {\displaystyle v\,} is negative if the receiverSecond law of thermodynamics (15,578 words) [view diff] exact match in snippet view article find links to article
{\textstyle Q_{c}=Q\left({\frac {1}{\eta }}-1\right)} , where (1) the sign convention of heat is used in which heat entering into (leaving from) an engineSpecial relativity (24,664 words) [view diff] exact match in snippet view article find links to article
{\displaystyle v} as measured by an observer on the receiver or the source (The sign convention adopted here is that v {\displaystyle v} is negative if the receiverMapping cone (homological algebra) (1,328 words) [view diff] exact match in snippet view article
{\displaystyle A[1]\oplus B} , and that some authors use a different sign convention. Thus, if for example our complexes are of abelian groups, the differentialPeakon (1,733 words) [view diff] exact match in snippet view article find links to article
Sattinger & Szmigielski 2000 (where a different normalization and sign convention is used) Lundmark & Szmigielski 2005 Beals, Richard; Sattinger, DavidIEEE 1344 (568 words) [view diff] exact match in snippet view article find links to article
performance and frequency of measurement. C37.118-2005 uses the opposite sign convention for time zone offset: offset = timecode − UTC, UTC = timecode − offsetDepth in a well (1,211 words) [view diff] case mismatch in snippet view article find links to article
and structures in the core are compared with the log and matched. Sign Convention - Depth increases positive in the downward direction. This may seemSunrise equation (2,459 words) [view diff] exact match in snippet view article find links to article
sunrise to local solar noon or from local solar noon to sunset. The sign convention is typically that the observer latitude ϕ {\displaystyle \phi } isMalaysia–Myanmar relations (4,467 words) [view diff] exact match in snippet view article find links to article
December 2016. Nuradzimmah Daim (4 November 2015). "Msia will not sign convention on refugees". New Straits Times. Retrieved 7 December 2016. "ImmigrationStokes stream function (1,322 words) [view diff] exact match in snippet view article find links to article
the general stream function article, definitions using an opposite sign convention – for the relationship between the Stokes stream function and flowFresnel rhomb (4,858 words) [view diff] exact match in snippet view article find links to article
In order to specify the phase shift on reflection, we must choose a sign convention for the reflection coefficient, which is the ratio of the reflectedEuler–Bernoulli beam theory (7,388 words) [view diff] exact match in snippet view article find links to article
compressive stress at the bottom surface. With this choice of bending moment sign convention, in order to have d M = Q d x {\displaystyle dM=Qdx} , it is necessaryFour-vector (8,364 words) [view diff] exact match in snippet view article find links to article
four-vector components are signs, therefore the signs depend on which sign convention is used. We have: A ⋅ A = − ( A 0 ) 2 + ( A 1 ) 2 + ( A 2 ) 2 + ( ATotal internal reflection (13,499 words) [view diff] exact match in snippet view article find links to article
as we approach normal incidence is an obvious disadvantage of the sign convention used in this article; the corresponding advantage is that they haveMacaulay's method (2,529 words) [view diff] exact match in snippet view article find links to article
that is used. For the rest of this article we will assume that the sign convention is such that a positive sign is appropriate. Beam theory Bending BendingIllegal immigration to Malaysia (5,204 words) [view diff] exact match in snippet view article find links to article
16 January 2015. Nuradzimmah Daim (4 November 2015). "Msia will not sign convention on refugees". New Straits Times. Retrieved 4 November 2015. StephanieBRST quantization (9,464 words) [view diff] exact match in snippet view article find links to article
\lambda )} . The Ward operator on each field may be identified (up to a sign convention) with the Lie derivative along the vertical vector field associatedCauchy stress tensor (8,289 words) [view diff] exact match in snippet view article find links to article
vector acting on a plane with normal unit vector n. A note on the sign convention: The tetrahedron is formed by slicing a parallelepiped along an arbitraryAssociated Legendre polynomials (5,915 words) [view diff] exact match in snippet view article find links to article
Academic Press, ISBN 978-0-12-059825-0; Section 12.5. (Uses a different sign convention.) Belousov, S. L. (1962), Tables of normalized associated LegendreMagnetic circular dichroism (4,685 words) [view diff] exact match in snippet view article find links to article
k = k − − k + {\displaystyle \Delta k=k_{-}-k_{+}} , following the sign convention of natural optical activity. In the presence of a static, uniform externalTimoshenko–Ehrenfest beam theory (3,660 words) [view diff] exact match in snippet view article find links to article
positive moments act in the clockwise direction. We also assume that the sign convention of the stress resultants ( M x x {\displaystyle M_{xx}} and Q x {\displaystyleWigner D-matrix (4,744 words) [view diff] exact match in snippet view article find links to article
Bessel function and ℓ β {\displaystyle \ell \beta } is finite. Using sign convention of Wigner, et al. the d-matrix elements d m ′ m j ( θ ) {\displaystyleCosmic microwave background spectral distortions (2,842 words) [view diff] exact match in snippet view article find links to article
temperature, which makes it dimensionless, and it has the opposite sign convention Sunyaev, R. A.; Zeldovich, Ya. B. (1970). "Small-Scale FluctuationsConvention on the Manipulation of Sports Competitions (217 words) [view diff] exact match in snippet view article find links to article
match-fixing", The Washington Post, 18 September 2014. "European ministers sign convention on match-fixing", Play the Game, 18 September 2014. Treaty text. SignatoriesHückel method (7,290 words) [view diff] exact match in snippet view article find links to article
stabilized by allowing it to delocalize between two orbitals). The usual sign convention is to let both α and β be negative numbers. To understand and compareGeopotential spherical harmonic model (1,976 words) [view diff] exact match in snippet view article find links to article
with n = 0, 1, 2, 3 are presented in the table below. [Note that the sign convention differs from the one in the page about the associated Legendre polynomialsGlossary of engineering: A–L (31,750 words) [view diff] exact match in snippet view article find links to article
] by virtue of [the definition ΔU=Q − W, present notation, physics sign convention], both heat and work have the dimensions of energy" (p. 73). C.f.:Reissner-Mindlin plate theory (4,064 words) [view diff] exact match in snippet view article find links to article
vol. 40, pp. 3039–3067. These equations use a slightly different sign convention than the preceding discussion. Bending Bending of plates Infinitesimal