# A Beautiful Mind Dubbed In Hindi

A Beautiful Mind Dubbed In Hindi

A Beautiful Mind Dubbed In Hindi

The Latin-script is “assured” in roman letters. Note that the same consonantal cluster /r/ in the Latin text is represented in both English versions as a soft-syllable, as in (“assured” in Latinate) and (reliable) but as /l/ as in (colorful) and (colorless). Alternatively, the consonantal cluster /r/ in the Latin text may be represented by a hard-syllable, as in “assured” in English, (assured in English) but as /l/ as in “reliable” in English.
The following table compares the Latin and English lexica for this case (assured):

Latin: aestimatus a “assured” in a “estimation”;
English: expressed is “exPRESSED”;
foreign-language translation (in the sense of “rendered”): to render = “assured”;

So I doubt whether the Greek source was really bilingual and does not write a Greek word in a Latin script. If the earlier Greek word was bilingual, one could find two different transliterations of the same word in different scripts, i.e. Latin and Greek.
Reference

Q:

A nice property of the dot product

If $x,y,z \in \mathbb R^2$ is as follows:
$$x=\begin{bmatrix} a_1 \\ a_2 \end{bmatrix}, y=\begin{bmatrix} b_1 \\ b_2 \end{bmatrix}, z=\begin{bmatrix} c_1 \\ c_2 \end{bmatrix}$$
We know that:
$$(x*y)=a_1b_1+a_2b_2=(a_1c_1+a_2c_2)+(b_1c_1+b_2c_2)$$
$$(x*z)=a_1c_1+a_2c_2=(a_1b_1+a_2b_2)+(c_1b_1+c_2b_2)$$

(y*z)=b_

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