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searching for Difference quotient 12 found (36 total)

Finite difference method (3,573 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}}}

L'Hôpital's rule (6,978 words) [view diff] exact match in snippet view article find links to article

rule with some circular reasoning to compute a derivative via a difference quotient. For example, consider the task of proving the derivative formula

Derivative (7,184 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 (2,517 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

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 (2,345 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 (3,563 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 (3,315 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 (8,493 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