Ähnliche Kontextphrasen
Übersetzungsbeispiele
Moreover, the concept of compulsory heterosexuality makes the society believes that lesbian's sexuality is out of the norm.
Toisaalta heteronormatiivisuudella tarkoitetaan myös yhteiskunnassa vallitsevaa oletusta, jonka mukaan heteroseksuaalinen suuntaus on normi.
This creates a dynamic where Western feminism functions as the norm against which the situation in the developing world is evaluated.
Tavoitteena on luoda trendi Eurooppaan jossa tupakointi nähdään sosiaalisten normien vastaisena.
These dichotomies tend to consider mutual influences in African and European art as an exception rather than the norm.
Nämä dikotomiat pyrkivät pitämään Afrikan ja Euroopan taiteen keskinäisiä vaikutteita pikemminkin poikkeuksena kuin normina.
She went on to portray Carol Nelson in HBO's The Mind of the Married Man television series, and played Norm Macdonald's romantic interest in the sitcom The Norm Show.
Myöhemmin Walsh sai Carol Nelsonin roolin HBO:n sarjassa The Mind of the Married Man ja esitti Norm McDonaldin ihastusta sitcom-sarjassa The Norm Show.
This implies that the norm ‖ ⋅ ‖ {\displaystyle \|\cdot \|} as well as the distance function d ( x , ⋅ ) {\displaystyle d(x,\cdot )} are Lipschitz continuous with Lipschitz constant 1, and therefore are in particular uniformly continuous.
Tämän mukaan siis normi ||–||, samoin kuin metriikka d(x, –), ovat 1-Lipschitz, ja siten jatkuvia.
We define a norm on X/M by ‖ ‖ X / M = inf m ∈ M ‖ x − m ‖ X . {\displaystyle \|\|_{X/M}=\inf _{m\in M}\|x-m\|_{X}.} The quotient space X/M is complete with respect to the norm, so it is a Banach space.
Avaruudessa X/M määritellään normi seuraavasti: ‖ ‖ X / M = inf m ∈ M ‖ x − m ‖ X . {\displaystyle \|\|_{X/M}=\inf _{m\in M}\|x-m\|_{X}.} Tekijäavaruus X/M on täydellinen normin suhteen, joten se on Banachin avaruus.
If M and N are two Riemannian manifolds, then a harmonic map u : M → N is defined to be a critical point of the Dirichlet energy D = 1 2 ∫ M ‖ d u ‖ 2 d Vol {\displaystyle D={\frac {1}{2}}\int _{M}\|du\|^{2}\,d\operatorname {Vol} } in which du : TM → TN is the differential of u, and the norm is that induced by the metric on M and that on N on the tensor product bundle T*M ⊗ u−1 TN.
Jos M ja N ovat kaksi Riemannin monistoa, harmoninen kuvaus u : M → N määritellään Diricletin energian kriittisenä pisteenä D = 1 2 ∫ M ‖ d u ‖ 2 d Vol {\displaystyle D={\frac {1}{2}}\int _{M}\|du\|^{2}\,d\operatorname {Vol} } missä du : TM → TN on u:n differentiaali, ja normin määrittävät M:n ja N:n metriikat tensoritulojen joukossa T*M ⊗ u−1 TN.
The square of the norm is: ‖ K ‖ 2 = K μ K μ = ( ω c ) 2 − k ⋅ k , {\displaystyle \|\mathbf {K} \|^{2}=K^{\mu }K_{\mu }=\left({\frac {\omega }{c}}\right)^{2}-\mathbf {k} \cdot \mathbf {k} \,,} and by the de Broglie relation: ‖ K ‖ 2 = 1 ℏ 2 ‖ P ‖ 2 = ( m 0 c ℏ ) 2 , {\displaystyle \|\mathbf {K} \|^{2}={\frac {1}{\hbar ^{2}}}\|\mathbf {P} \|^{2}=\left({\frac {m_{0}c}{\hbar }}\right)^{2}\,,} we have the matter wave analogue of the energy–momentum relation: ( ω c ) 2 − k ⋅ k = ( m 0 c ℏ ) 2 . {\displaystyle \left({\frac {\omega }{c}}\right)^{2}-\mathbf {k} \cdot \mathbf {k} =\left({\frac {m_{0}c}{\hbar }}\right)^{2}\,.} Note that for massless particles, in which case m0 = 0, we have: ( ω c ) 2 = k ⋅ k , {\displaystyle \left({\frac {\omega }{c}}\right)^{2}=\mathbf {k} \cdot \mathbf {k} \,,} or ||k|| = ω/c.
Tämän normin neliö on: ‖ K ‖ 2 = K μ K μ = ( ω c ) 2 − k ⋅ k , {\displaystyle \|\mathbf {K} \|^{2}=K^{\mu }K_{\mu }=\left({\frac {\omega }{c}}\right)^{2}-\mathbf {k} \cdot \mathbf {k} \,,} ja yhdistämällä tämä sekä de Broglien relaatio ‖ K ‖ 2 = 1 ℏ 2 ‖ P ‖ 2 = ( m c ℏ ) 2 , {\displaystyle \|\mathbf {K} \|^{2}={\frac {1}{\hbar ^{2}}}\|\mathbf {P} \|^{2}=\left({\frac {mc}{\hbar }}\right)^{2}\,,} saadaan energian ja liikemäärän yhteyttä vastaava relaatio aineaalloille: ( ω c ) 2 − k ⋅ k = ( m c ℏ ) 2 . {\displaystyle \left({\frac {\omega }{c}}\right)^{2}-\mathbf {k} \cdot \mathbf {k} =\left({\frac {mc}{\hbar }}\right)^{2}\,.} Voidaan todeta, että massattomilla hiukkasilla (m = 0) tästä saadaan: ( ω c ) 2 = k ⋅ k , {\displaystyle \left({\frac {\omega }{c}}\right)^{2}=\mathbf {k} \cdot \mathbf {k} \,,} tai ||k|| = ω/c.
Using the differential of the four-position, the magnitude of the four-velocity can be obtained: ‖ U ‖ 2 = U μ U μ = d X μ d τ d X μ d τ = d X μ d X μ d τ 2 = c 2 , {\displaystyle \|\mathbf {U} \|^{2}=U^{\mu }U_{\mu }={\frac {dX^{\mu }}{d\tau }}{\frac {dX_{\mu }}{d\tau }}={\frac {dX^{\mu }dX_{\mu }}{d\tau ^{2}}}=c^{2}\,,} in short, the magnitude of the four-velocity for any object is always a fixed constant: ‖ U ‖ 2 = c 2 {\displaystyle \|\mathbf {U} \|^{2}=c^{2}\,} The norm is also: ‖ U ‖ 2 = γ ( u ) 2 ( c 2 − u ⋅ u ) , {\displaystyle \|\mathbf {U} \|^{2}={\gamma (\mathbf {u} )}^{2}\left(c^{2}-\mathbf {u} \cdot \mathbf {u} \right)\,,} so that: c 2 = γ ( u ) 2 ( c 2 − u ⋅ u ) , {\displaystyle c^{2}={\gamma (\mathbf {u} )}^{2}\left(c^{2}-\mathbf {u} \cdot \mathbf {u} \right)\,,} which reduces to the definition of the Lorentz factor.
Nelipaikan differentiaalin avulla voidaan laskea nelinopeuden magnitudi: ‖ U ‖ 2 = U μ U μ = d X μ d τ d X μ d τ = d X μ d X μ d τ 2 = c 2 , {\displaystyle \|\mathbf {U} \|^{2}=U^{\mu }U_{\mu }={\frac {dX^{\mu }}{d\tau }}{\frac {dX_{\mu }}{d\tau }}={\frac {dX^{\mu }dX_{\mu }}{d\tau ^{2}}}=c^{2}\,,} Todetaan, että kaikkien hiukkasten ja kappaleiden nelinopeuden magnitudi on aina valonnopeus c: ‖ U ‖ 2 = c 2 {\displaystyle \|\mathbf {U} \|^{2}=c^{2}\,} Normi voidaan esittää myös muodossa: ‖ U ‖ 2 = γ ( u ) 2 ( c 2 − u ⋅ u ) , {\displaystyle \|\mathbf {U} \|^{2}={\gamma (\mathbf {u} )}^{2}\left(c^{2}-\mathbf {u} \cdot \mathbf {u} \right)\,,} josta saadaan edelleen: c 2 = γ ( u ) 2 ( c 2 − u ⋅ u ) , {\displaystyle c^{2}={\gamma (\mathbf {u} )}^{2}\left(c^{2}-\mathbf {u} \cdot \mathbf {u} \right)\,,} mikä yksinkertaistuu Lorentzin tekijän määritelmäksi.
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