Ekspresi (matematika): Perbedaan antara revisi

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←Membuat halaman berisi ''''Ekspresi''' dalam matematika (atau '''ekspresi matematika''') adalah suatu kombinasi tertentu dari simbol-simbol yang :en:well-fo...'
 
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(6 revisi perantara oleh 5 pengguna tidak ditampilkan)
Baris 1:
{{disambiginfo|Ekspresi (disambiguasi)}}
'''Ekspresi''' dalam [[matematika]] (atau '''ekspresiungkapan matematika''') dalam [[matematika|ilmu matematika]] adalah suatu kombinasi tertentu dari [[Daftar simbol matematika|simbol-simbol]] yang [[:en:well-formed formula|tersusun baik]] menurut kaidah-kaidah yang bergantung kepada konteksnya. Simbol-simbol matematika dapat meliputi bilangan ([[konstanta|tetapan]]), [[variabel]], [[Operasi (matematika)|operasi]], [[fungsi (matematika)|fungsi]], tanda baca, pengelompokan, dan aspek-aspek lain [[:en:syntax (logic)|sintakssintaksis logikalogis]].
 
== Contoh ==
Baris 13 ⟶ 14:
::<math>\frac{x-1}{{{x}^{2}}+12}</math> &nbsp;&nbsp;([[ekspresi rasional]])
 
sampai yang rumit:
 
::<math>f(a)+\sum_{k=1}^n\left.\frac{1}{k!}\frac{d^k}{dt^k}\right|_{t=0}f(u(t)) + \int_0^1 \frac{(1-t)^n }{n!} \frac{d^{n+1}}{dt^{n+1}} f(u(t))\, dt.</math>
Baris 23 ⟶ 24:
{{Mathematical expressions}}
 
==Sintaksis dan semantik==
==Syntax versus semantics==
 
===SyntaxSintaks===
{{Main|Syntax}}
 
Baris 54 ⟶ 55:
The equivalence of two expressions in the lambda calculus is [[decision problem|undecidable]]. This is also the case for the expressions representing real numbers, which are built from the integers by using the arithmetical operations, the logarithm and the exponential.{{cn|date=October 2014}}
 
==VariablesVariabel ==
 
Many mathematical expressions include [[Variable (mathematics)|variables]]. Any variable can be classified as being either a [[free variable]] or a [[bound variable]].
Baris 73 ⟶ 74:
has free variable ''x'', bound variable ''n'', constants 1, 2, and 3, two occurrences of an implicit multiplication operator, and a summation operator. The expression is equivalent to the simpler expression 12''x''. The value for ''x''&nbsp;=&nbsp;3 is 36.
-->
== Lihat pula ==
 
{{colbegin||22em}}
* [[Algebraic closure]]
* [[Algebraic expression]]
* [[Analytical expression]]
* [[Computer algebra#Expressions]]
* [[Closed-form expression]]
* [[Combinator]]
* [[Defined and undefined]]
* [[Persamaan]]
* [[Expression (programming)]]
* [[Formula]]
* [[Formal grammar]]
* [[Functional programming]]
* [[Logical expression]]
* [[Term (mathematics)]]
{{colend}}
 
== Referensi ==
 
{{Reflist}}
 
== Pustaka ==
 
* Redden, John. [http://catalog.flatworldknowledge.com/bookhub/reader/128?e=fwk-redden-ch02 ''Elementary Algebra''] {{Webarchive|url=https://web.archive.org/web/20141115044820/http://catalog.flatworldknowledge.com/bookhub/reader/128?e=fwk-redden-ch02 |date=2014-11-15 }}. Flat World Knowledge, 2011.
 
[[CategoryKategori:Aljabar]]
[[CategoryKategori:Evaluation]]
[[CategoryKategori:Logical expressions]]
 
[[bg:Израз]]