habile
发表于 2025-3-28 15:02:03
,Analytic Geometry in ℝ,,We now generalize the discussion of analytic geometry to ℝ., where n is an arbitrary natural number. Following the pattern set above for ℝ. and ℝ., we define ℝ. to be the set of all possible ordered .-tuples of the form (.., .., ... , ..) with .. ∈ ℝ for . = 1, ... , .. We refer to ℝ. as ..
寻找
发表于 2025-3-28 22:21:25
Linear Algebra Tool Bag,. of two vectors . = (.., ..) and . = (.., ..) in ℝ.:
LIEN
发表于 2025-3-29 01:09:01
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枪支
发表于 2025-3-29 04:05:07
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DAFT
发表于 2025-3-29 09:17:57
The Logarithm log(,),ntinuous on any given interval [., .] with 0 < . < ., we know by the Fundamental Theorem that there is a unique function .(.) which satisfies u′(.) = 1/. for a ≤ x ≤ b and takes on a specific value at some point in [., .], for example .(1) = 0. Since . > 0 may be chosen as small as we please and . a
Essential
发表于 2025-3-29 11:52:03
Numerical Quadrature,a for the primitive function in terms of known functions. For example we can give a formula for a primitive function of a polynomial as another polynomial. We will return in Chapter . to the question of finding analytical formulas for primitive functions of certain classes of functions. The Fundamen
RALES
发表于 2025-3-29 16:39:57
Trigonometric Functions,initial conditions because the problem involves a second order derivative. We may compare with the first order initial value problem: .′(.) = −.(.) for . > 0, .(0) = .., with the solution .(.) = exp(−.), which we studied in the previous chapter.
光明正大
发表于 2025-3-29 23:42:34
Techniques of Integration,the polynomials, rational functions, root functions, exponentials and trigonometric functions along with their inverses and combinations. It is not even true that the primitive function of an elementary function is another elementary function.
描绘
发表于 2025-3-30 02:28:31
Improper Integrals,r unbounded intervals. We call such integrals ., or sometimes (more properly) . integrals. We compute these integrals using the basic results on convergence of sequences that we have already developed.
GLIB
发表于 2025-3-30 05:49:02
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