TeXipedia

daleth

Represents the fourth letter of the Hebrew alphabet, commonly used in mathematical and linguistic contexts.

Overview

Serves as a specialized mathematical symbol derived from Hebrew, primarily appearing in number theory, set theory, and related mathematical disciplines.

  • Often used alongside other Hebrew letters like aleph, beth, and gimel in mathematical notation.
  • Appears in contexts involving infinite cardinal numbers and transfinite mathematics.
  • Valuable in specialized mathematical proofs and theoretical computer science discussions where Hebrew letter notation is conventional.

Examples

Using daleth as a Hebrew-letter mathematical constant in a number theory equation.

ℵ0+ℸ=ℶ1\aleph_0 + \daleth = \beth_1 
\aleph_0 + \daleth = \beth_1

Representing a cardinal number sequence using Hebrew letter symbols.

{ℵ,ℶ,ℷ,ℸ}\{\aleph, \beth, \gimel, \daleth\} 
\{\aleph, \beth, \gimel, \daleth\}

Defining a set using daleth as an index variable.

Sℸ={x∈R:x>ℸ}S_{\daleth} = \{x \in \mathbb{R} : x > \daleth\} 
S_{\daleth} = \{x \in \mathbb{R} : x > \daleth\}