“ExampleOfArithmeticDerivative”的概念、定义、习题解题方法及翻译-数学辞典

单词	ExampleOfArithmeticDerivative
释义	example of arithmetic derivative Consider the natural number $6$ . Using the rules of the arithmetic derivative we get: $6^{\\prime}=(2\\cdot 3)^{\\prime}=2^{\\prime}\\cdot 3+2\\cdot 3^{\\prime}=1\\cdot 3+2%\\cdot 1=5$ Below is a list of the 10 first natural numbers and their first and second arithmetic derivatives: $n$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $n^{\\prime}$ $0$ $1$ $1$ $4$ $1$ $5$ $1$ $12$ $6$ $7$ $n^{\\prime\\prime}$ $0$ $0$ $0$ $4$ $0$ $1$ $0$ $16$ $5$ $1$
随便看	proof that a Zeckendorf representation represents a unique positive integer ProofThatCcupAndCcapAreConsequenceOperators ProofThatCommutingMatricesAreSimultaneouslyTriangularizable proof that commuting matrices are simultaneously triangularizable ProofThatComponentsOfOpenSetsInALocallyConnectedSpaceAreOpen proof that components of open sets in a locally connected space are open ProofThatContrapositiveStatementIsLogicallyEquivalentToOriginalStatement proof that contrapositive statement is logically equivalent to original statement ProofThatCountableUnionsAreCountable proof that countable unions are countable proof that C_∪ and C_∩ are consequence operators ProofThatdetEAEoperatornametrA ProofThatDimensionOfComplexIrreducibleRepresentationDividesOrderOfGroup proof that dimension of complex irreducible representation divides order of group proof that d⁢e⁢te^A=e^{tr⁡A} ProofThatEIsNotANaturalNumber proof that e is not a natural number ProofThateta1ln2 ProofThatEulersConstantExists ProofThatEulervarphiFunctionIsMultiplicative proof that Euler φ function is multiplicative proof that Euler’s constant exists ProofThatEveryAbsolutelyConvergentSeriesIsUnconditionallyConvergent Proof that every absolutely convergent series is unconditionally convergent ProofThatEveryFilterIsContainedInAnUltrafilter

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

example of arithmetic derivative