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However, for negative numbers truncation does not round in the same direction as the floor function: truncation always rounds toward zero, the
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212:{\displaystyle \operatorname {trunc} (x,n)={\frac {\lfloor 10^{n}\cdot x\rfloor }{10^{n}}}.}
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372:{\displaystyle \operatorname {trunc} (x,n)={\frac {\lceil 10^{n}\cdot x\rceil }{10^{n}}}}
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In mathematics, limiting the number of digits right of the decimal point
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With computers, truncation can occur when a decimal number is
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function rounds towards negative infinity. For a given number
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Truncation of positive real numbers can be done using the
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or less. Polynomial truncations arise in the study of
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420:can be defined as the sum of all terms of
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235:{\displaystyle \operatorname {floor} }
290:{\displaystyle \operatorname {ceil} }
270:{\displaystyle x\in \mathbb {R} _{-}}
127:{\displaystyle n\in \mathbb {N} _{0}}
92:{\displaystyle x\in \mathbb {R} _{+}}
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50:Truncation and floor function
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56:Floor and ceiling functions
21:Truncation (disambiguation)
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484:(4th ed.). p.
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442:Arithmetic precision
384:Causes of truncation
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19:For other uses, see
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430:Taylor polynomials
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513:Wall paper applet
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64:. Given a number
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463:References
424:of degree
416:to degree
404:In algebra
36:truncation
354:⌉
348:⋅
335:⌈
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263:−
253:∈
191:⌋
185:⋅
172:⌊
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110:∈
75:∈
523:Category
480:Calculus
436:See also
390:typecast
394:integer
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392:as an
40:digits
308:trunc
230:floor
145:trunc
490:ISBN
285:ceil
30:and
486:434
26:In
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329:=
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166:=
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151:(
120:0
115:N
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85:+
80:R
72:x
23:.
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