Translate the provided English OghmaNano HTML/PHP page into Brazilian Portuguese by performing a strict, diff-only transformation: preserve all HTML, PHP, structure, order, IDs, classes, scripts, includes, include count, include locations, tables, menus, analytics, schema, and layout exactly as-is; do NOT add, remove, duplicate, reorder, or re-insert any PHP include statements; change to ; if and only if the English page does not already set $lang or include menu_top.html, then immediately after
insert "$lang='pt'; include($_SERVER['DOCUMENT_ROOT'].'/menu_top.html');", otherwise do not add a second include; in the $meta array translate title and description faithfully (no SEO rewriting), change canonical to the /pt/ version, ensure 'lang' => 'pt', and ensure 'i18n_key' exists and is set deterministically to the canonical path WITHOUT the scheme/host and WITHOUT the /pt prefix (i.e., i18n_key = parse_url(canonical,PHP_URL_PATH) with any leading '/pt' removed); keep all other existing meta keys unchanged and do not add or remove any others; translate all visible text into professional, technical Brazilian Portuguese without adding, expanding, enriching, summarising, editorialising, or improving content; use standard physics terminology (drift–diffusion, SRH, transfer-matrix, etc.) while keeping scientific abbreviations (JV, OLED, OFET, EQE, SRH) in Latin characters; convert every localized_url(...,'en') to localized_url(...,'pt') and do not alter other URLs; translate headings, lists, buttons, and duplicated mobile/desktop sections consistently while keeping IDs, styles, emojis, symbols, punctuation, line breaks, and formatting exactly matching the English source; translate “Translations” to “Traduções” and keep get_translations(0) unchanged; do NOT add structured data (JSON-LD), schema, emojis, new sections, new text, new links, new scripts, or metadata that does not already exist in the English source EXCEPT adding 'lang' and the deterministic 'i18n_key' as defined above; output a complete valid HTML file only, with no commentary or explanations. If the English source contains any JSON-LD/schema/script blocks (including application/ld+json), keep them byte-identical (do not translate, do not change URLs, do not add/remove fields), and if the English source does not contain them, do not add them. Put the output in a code block.
The built-in calculator (RPN expressions)
OghmaNano includes a small built-in calculator that evaluates algebraic expressions using
Reverse Polish Notation (RPN). This is used anywhere the software needs a compact,
unambiguous way to specify a mathematical expression rather than a single numeric value.
In practice, you will most often encounter the calculator in workflows such as:
-
Fitting and parameter extraction — for example, defining an error function or cost
metric in the fitting window.
-
Formula-based inputs — where a material constant or model parameter is defined as an
expression rather than a fixed number.
-
Automation and scripting — when constructing parameterised studies that require a
compact expression syntax.
1. Supported operations
Arithmetic and comparison operators
| Exponentiation |
^ |
\(2^3 = 8\) |
| Multiplication |
* |
\(2 * 3 = 6\) |
| Division |
/ |
\(6 / 2 = 3\) |
| Addition |
+ |
\(2 + 3 = 5\) |
| Subtraction |
- |
\(5 - 3 = 2\) |
| Greater than |
> |
\(5 > 3\) is 1 |
| Less than |
< |
\(2 < 5\) is 1 |
| Greater than or equal |
>= |
\(5 >= 5\) is 1 |
| Less than or equal |
<= |
\(3 <= 4\) is 1 |
2. Supported functions
Supported functions
| Sine |
sin |
\(\sin(\pi/2) = 1\) |
| Cosine |
cos |
\(\cos(0) = 1\) |
| Absolute value |
abs |
\(\text{abs}(-3) = 3\) |
| Positive part |
pos |
\(\text{pos}(-3)=0,\ \text{pos}(3)=3\) |
| Logarithm (base 10) |
log |
\(\log(100) = 2\) |
| Exponential |
exp |
\(\exp(2) = e^2\) |
| Square root |
sqrt |
\(\sqrt{9} = 3\) |
| Minimum |
min |
\(\min(2, 3) = 2\) |
| Maximum |
max |
\(\max(2, 3) = 3\) |
| Random |
rand |
\(\text{rand}(a,b)\) generates a random number between \(a\) and \(b\) |
| Log-random |
randlog |
\(\text{randlog}(a,b)\) generates a log-random number between \(a\) and \(b\) |