Definitions for up to
up to

Princeton's WordNetRate this definition:0.0 / 0 votes

1. up toadjective

   busy or occupied with

   "what have you been up to?"; "up to no good"

2. adequate to(p), capable, equal to(p), up to(p)adjective

   having the requisite qualities for

   "equal to the task"; "the work isn't up to the standard I require"

WiktionaryRate this definition:1.0 / 1 vote

1. up topreposition

   Against; next to; near; towards; as far as.

2. up topreposition

   Capable of.

3. up topreposition

   As much as; no more than.

4. up topreposition

   For the option or decision of.

5. up topreposition

   Doing; involved in (with implications of mischief).

6. up topreposition

   Incumbent upon; the obligation of; the duty of.

7. up topreposition

   Considering all members of an equivalence class the same.

WikipediaRate this definition:0.0 / 0 votes

1. Up to

   Two mathematical objects a and b are called equal up to an equivalence relation R if a and b are related by R, that is, if aRb holds, that is, if the equivalence classes of a and b with respect to R are equal.This figure of speech is mostly used in connection with expressions derived from equality, such as uniqueness or count. For example, x is unique up to R means that all objects x under consideration are in the same equivalence class with respect to the relation R. Moreover, the equivalence relation R is often designated rather implicitly by a generating condition or transformation. For example, the statement "an integer's prime factorization is unique up to ordering" is a concise way to say that any two lists of prime factors of a given integer are equivalent with respect to the relation R that relates two lists if one can be obtained by reordering (permutation) from the other. As another example, the statement "the solution to an indefinite integral is sin(x), up to addition of a constant" tacitly employs the equivalence relation R between functions, defined by fRg if the difference f−g is a constant function, and means that the solution and the function sin(x) are equal up to this R. In the picture, "there are 4 partitions up to rotation" means that the set P has 4 equivalence classes with respect to R defined by aRb if b can be obtained from a by rotation; one representative from each class is shown in the bottom left picture part. Equivalence relations are often used to disregard possible differences of objects, so "up to R" can be understood informally as "ignoring the same subtleties as R ignores". In the factorization example, "up to ordering" means "ignoring the particular ordering". Further examples include "up to isomorphism", "up to permutations", and "up to rotations", which are described in the Examples section. In informal contexts, mathematicians often use the word modulo (or simply "mod") for similar purposes, as in "modulo isomorphism".

ChatGPTRate this definition:0.0 / 0 votes

1. up to

   "Up to" is a preposition phrase commonly used in English to convey various context-dependent meanings. These include: 1. Indicating a point or limit at which something will happen; Example: This card is valid up to 2025. 2. Reflecting the amount, number, or degree that is less than or equal to a certain stated value; Example: You can have up to two items. 3. Referring to a particular responsibility or duty being dependent on someone or something; Example: It's up to you to decide. 4. Signifying an action that is in the process of being done or will be done, often used in news reporting; Example: The houses are up to be demolished. 5. Suggesting someone's involvement or culpability in some matter; Example: I'm sure he's up to no good. The particular meaning is dependent on the context in which "up to" is used.

WikidataRate this definition:5.0 / 1 vote

1. Up to

   In mathematics, the phrase up to indicates that its grammatical object is some equivalence class, to be regarded as a single entity, or disregarded as a single entity. If this object is a class of transformations, it implies the equivalence of objects one of which is the image of the other under such a transformation. If X is some property or process, the phrase "up to X" means "disregarding a possible difference in X". For instance we might follow the statement "an integer's prime factorization is unique up to ordering", meaning that the prime factorization is unique if we disregard the order of the factors; or we might say "the solution to an indefinite integral is f(x), up to addition by a constant", meaning that the added constant is not the focus here, the solution f(x) is, and that the addition of a constant is to be regarded as a background, of secondary focus. Further examples concerning up to isomorphism, up to permutations and up to rotations are described below. In informal contexts, mathematicians often use the word modulo for similar purposes, as in "modulo isomorphism".

British National Corpus

1. Spoken Corpus Frequency

   Rank popularity for the word 'up to' in Spoken Corpus Frequency: #716

2. Written Corpus Frequency

   Rank popularity for the word 'up to' in Written Corpus Frequency: #406

Anagrams for up to »

1. pout

2. tupo

How to pronounce up to?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say up to in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of up to in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of up to in Pythagorean Numerology is: 9

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=up to
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Up_to
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Up_to
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=up to