fix typos (#1678)

* fix typos

* fix typos again

* Fix _meta.ts

Author: samchon

README.md

@@ -146,7 +146,7 @@ Check out the document in the [website](https://typia.io/docs/):
 
 ### 🔗 Appendix
   - [API Documents](https://typia.io/api)
-  - Utillization Cases
+  - Utilization Cases
     - [NestJS](https://typia.io/docs/utilization/nestjs/)
     - [tRPC](https://typia.io/docs/utilization/trpc/)
   - [⇲ Benchmark Result](https://github.com/samchon/typia/tree/master/benchmark/results/11th%20Gen%20Intel(R)%20Core(TM)%20i5-1135G7%20%40%202.40GHz)

src/factories/ProtobufFactory.ts

@@ -547,7 +547,7 @@ export namespace ProtobufFactory {
   };
 
   /* -----------------------------------------------------------
-    SEQUENE VALIDATOR
+    SEQUENCE VALIDATOR
   ----------------------------------------------------------- */
   const validateObject = (next: {
     object: MetadataObjectType;

test/src/features/issues/test_issue_1535_llm_application_pick.ts

@@ -14,36 +14,36 @@ export const test_issue_1535_llm_application_pick = (): void => {
     )(props.expected.sort());
   assert({
     title: "all",
-    application: typia.llm.application<Mathmatics, "chatgpt">(),
+    application: typia.llm.application<Mathematics, "chatgpt">(),
     expected: ["plus", "minus", "multiply", "divide"],
   });
   assert({
     title: "pick",
     application: typia.llm.application<
-      Pick<Mathmatics, "plus" | "divide">,
+      Pick<Mathematics, "plus" | "divide">,
       "chatgpt"
     >(),
     expected: ["plus", "divide"],
   });
   assert({
     title: "omit",
     application: typia.llm.application<
-      Omit<Mathmatics, "minus" | "multiply">,
+      Omit<Mathematics, "minus" | "multiply">,
       "chatgpt"
     >(),
     expected: ["plus", "divide"],
   });
 };
 
-type PlusFunction = MathmaticsFunction;
-type MathmaticsFunction = Operation;
+type PlusFunction = MathematicsFunction;
+type MathematicsFunction = Operation;
 type Operation = (props: { x: number; y: number }) => number;
 
 type Operator = Calculator;
-type Calculator = Mathmatics;
-interface Mathmatics {
+type Calculator = Mathematics;
+interface Mathematics {
   plus: PlusFunction;
-  minus: MathmaticsFunction;
+  minus: MathematicsFunction;
   multiply: Operation;
   divide: (props: { x: number; y: number }) => number;
 }

test/src/helpers/TestValidator.ts

@@ -197,7 +197,7 @@ export namespace TestValidator {
     };
 
   /**
-   * Valiate search options.
+   * Validate search options.
    *
    * Test a pagination API supporting search options.
    *

website/next-env.d.ts

@@ -1,5 +1,6 @@
 /// <reference types="next" />
 /// <reference types="next/image-types/global" />
+/// <reference path="./.next/types/routes.d.ts" />
 
 // NOTE: This file should not be edited
 // see https://nextjs.org/docs/app/api-reference/config/typescript for more information.

website/package.json

@@ -34,8 +34,8 @@
     "lz-string": "^1.5.0",
     "monaco-editor": "^0.50.0",
     "next": "^15.3.4",
-    "nextra": "^4.2.17",
-    "nextra-theme-docs": "^4.2.17",
+    "nextra": "^4.6.0",
+    "nextra-theme-docs": "^4.6.0",
     "path": "^0.12.7",
     "prettier": "^3.2.5",
     "react": "^18.2.0",

website/src/content/_meta.ts

@@ -6,6 +6,7 @@ export default {
     type: "page",
     display: "hidden",
     theme: {
+      copyPage: false,
       toc: false,
     },
   },
@@ -17,6 +18,7 @@ export default {
     title: "💻 Playground",
     type: "page",
     theme: {
+      copyPage: false,
       layout: "full",
       footer: false,
     },

website/src/content/docs/llm/schema.mdx

@@ -140,7 +140,7 @@ Let's see how those [type tags](../validators/tags/#type-tags), comment tags and
   </Tabs.Tab>
 </Tabs>
 
-## Customziation
+## Customization
 
 If what you want is not just filling regular properties of LLM schema specification, but to adding custom properties into the JSON schema definition, you can do it through the `tags.TagBase.schema` property type or `tags.JsonSchemaPlugin` type. 
 

website/src/content/docs/validators/assert.mdx

@@ -142,7 +142,7 @@ Assertion guard of a value type.
 
 `typia.assertGuard<T>()` is similar with [`typia.assert<T>()`](#assert-function) throwing a `TypeGuardError` when wrong type. 
 
-However, [`typia.assert<T>()`](#assert-function) returns the paramteric input value itself when there's no type problem on the parametric input value, whereas the `typia.assertGuard<T>()` function returns nothing. Instead, the parametric input value would be automatically cased to the type `T`. This is the concept of "Assertion Guard" of a value type.
+However, [`typia.assert<T>()`](#assert-function) returns the parametric input value itself when there's no type problem on the parametric input value, whereas the `typia.assertGuard<T>()` function returns nothing. Instead, the parametric input value would be automatically cased to the type `T`. This is the concept of "Assertion Guard" of a value type.
 
 Such similarities and differences of `typia.assertGuard<T>()` and [`typia.assert<T>()`](#assert-function) functions are the same in the case of `typia.assertGuardEquals<T>()` and [`typia.assertEquals<T>()`](#assertequals-function) functions. If there's no type problem on the `typia.assertGuardEquals<T>()` function, it also performs the "Assertion Guard".