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searching for Difference quotient 13 found (37 total)

Finite difference method (3,590 words) [view diff] exact match in snippet view article find links to article

u'(x)=3u(x)+2.} The Euler method for solving this equation uses the finite difference quotient u ( x + h ) − u ( x ) h ≈ u ′ ( x ) {\displaystyle {\frac {u(x+h)-u(x)}{h}}\approx

Russo–Vallois integral (956 words) [view diff] exact match in snippet view article find links to article

idea is to replace the derivative g ′ {\displaystyle g'} by the difference quotient g ( s + ε ) − g ( s ) ε {\displaystyle g(s+\varepsilon )-g(s) \over

Fundamental increment lemma (583 words) [view diff] exact match in snippet view article find links to article

when h {\displaystyle h} is sufficiently close to zero, that the difference quotient f ( a + h ) − f ( a ) h {\displaystyle {\frac {f(a+h)-f(a)}{h}}}

Difference of Gaussians (1,315 words) [view diff] exact match in snippet view article find links to article

{1}{2}}\Delta \Phi _{t}(x).} The left-hand side can be approximated by the difference quotient Φ t + δ t ( x ) − Φ t ( x ) δ t = 1 δ t K t + δ t , t ( x ) . {\displaystyle

Derivative (7,281 words) [view diff] exact match in snippet view article find links to article

secant lines do not approach any single slope, so the limit of the difference quotient does not exist. However, even if a function is continuous at a point

Complex analysis (2,522 words) [view diff] exact match in snippet view article find links to article

counterparts. In particular, for this limit to exist, the value of the difference quotient must approach the same complex number, regardless of the manner in

L'Hôpital's rule (7,123 words) [view diff] exact match in snippet view article find links to article

rule to prove the value of a derivative by computing the limit of a difference quotient. Since applying l'Hôpital requires knowing the relevant derivatives

Schwarz lemma (1,578 words) [view diff] exact match in snippet view article find links to article

second part of the theorem, we rearrange the left-hand side into the difference quotient and let z 2 {\displaystyle z_{2}} tend to z 1 {\displaystyle z_{1}}

Hölder condition (2,368 words) [view diff] exact match in snippet view article find links to article

\left|{\frac {f(x)-f(y)}{x-y}}\right|\leq C|x-y|^{\alpha -1}} , so the difference quotient converges to zero as | x − y | → 0 {\displaystyle |x-y|\to 0} . Hence

TI-36 (1,401 words) [view diff] exact match in snippet view article find links to article

two numbers), mod(Modulo) Calculus: numeric derivative (symmetric difference quotient method) 2-variable statistics: quadratic and cubic regressions Distribution

Generalizations of the derivative (3,555 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbb {H} } are not commutative, the limit of the difference quotient yields two different derivatives: A left derivative lim h → 0 [ h

Elasticity coefficient (3,341 words) [view diff] exact match in snippet view article find links to article

v_{1}} , then the elasticity can be estimated by using Newton's difference quotient: ε s v ≃ v 1 − v o Δ s o s o v o = v 1 − v o v o / s 1 − s o s o

Sobolev spaces for planar domains (8,926 words) [view diff] exact match in snippet view article find links to article

R_{t}f(x,y)=f(x,y+t).} On T2 it is known that if f is in Hk, then the difference quotient δh f = h−1(Rh f − f ) → ∂y f in Hk−1; if the difference quotients