SUCH THAT Meaning and
Definition
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"Such that" is a phrase commonly used in mathematics, logic, and statistics to describe a relationship or condition between elements or events. It is used to indicate that a certain condition must be met for a specific outcome or situation to occur.
In mathematics, "such that" is often used to define a property or characteristic of a set of elements. For example, if we say "a set A such that all elements are positive integers," we mean that the elements of set A are restricted to positive whole numbers only.
In logic, "such that" is used to express a condition that determines the relationship between two or more events or propositions. For instance, in the statement "P implies Q, such that P is true and Q is true," it means that if P is true, then Q must also be true.
Similarly, in statistics, "such that" is used to define a specific feature or requirement of a population or distribution. For instance, when discussing a normal distribution, we may state "X is normally distributed, such that its mean is 0 and standard deviation is 1," which means that X follows a normal distribution with these specific parameters.
Overall, "such that" serves as a connector to explain a dependency or condition that needs to be satisfied for a particular situation or outcome to be valid. It is a crucial tool in various disciplines to define relationships, conditions, and constraints.
Common Misspellings for SUCH THAT
- auch that
- zuch that
- xuch that
- duch that
- euch that
- wuch that
- sych that
- shch that
- sjch that
- sich that
- s8ch that
- s7ch that
- suxh that
- suvh that
- sufh that
- sudh that
- sucg that
- sucb that
- sucn that
- sucj that
Etymology of SUCH THAT
The phrase "such that" has its roots in the Old English language.
The word "such" originated from the Old English word "swylc", which means "like, alike, the same as". It can be traced back to the Proto-Germanic language "swalikaz" and the Proto-Indo-European word "swa-likos", both of which share a similar meaning.
The word "that" comes from the Old English word "þæt", which stands for "that, so, in that manner". It has roots in the Proto-Germanic word "þat" and the Proto-Indo-European word "tod", both of which carry similar meanings.
The combination of "such" and "that" to form the phrase "such that" emerged as the English language evolved over time.
Idioms with the word SUCH THAT
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such that
"Such that" is an idiomatic expression used to indicate a condition or a situation where something is true or valid. It is often used to establish a specific relationship or connection between two elements in a sentence.
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