
This short guide is intended to help developers understand mathematical notation
using familiar programming concepts.

## Summation: The Trusty For-Loop in TypeScript

You've likely used a `for` loop to sum up numbers; it's practically a rite of
passage. Here's how it typically appears in TypeScript:

```ts
let sum = 0; // Initialize sum to zero
// Loop from 1 to n (inclusive)
for (let i = 1; i <= n; i++) {
  sum += i; // Increment sum by i
}
```

In mathematics, the Sigma symbol $ \Sigma $ accomplishes the same task, albeit
more elegantly:

$$
\text{sum} = \sum_{i=1}^{n} i
$$

**KaTeX Code**

```katex
\text{sum} = \sum_{i=1}^{n} i
```

### KaTeX Legend

- $ \sum $: Meet our sum variable.
- $ \Sigma $: This Greek Sigma is basically the `for` loop of math.
- $ i=1 $: The starting point of our loop.
- $ n $: The ending point.
- $ i $: The value added during each iteration.

## Product: Multiplying Like a Pro

Now let's multiply numbers! Here's a for loop in TypeScript that multiplies
numbers from 1 to $ n $.

```ts
let product = 1; // Initialize product to 1
// Loop from 1 to n (inclusive)
for (let i = 1; i <= n; i++) {
  product *= i; // Multiply product by i
}
```

Mathematics offers an equally elegant symbol for this: the Pi symbol $$ \Pi $$.

$$
\text{product} = \prod_{i=1}^{n} i
$$

**KaTeX Code:**

```katex
\text{product} = \prod_{i=1}^{n} i
```

### KaTeX Legend

- $ \text{product} $: Say hello to our product variable.
- $ \Pi $: Greek Pi, the multiplicative counterpart to Sigma.
- $ i=1 $: The starting point.
- $ n $: The ending point.
- $ i $: What's being multiplied at each step.

## For Complex Iterations: General Iterative Process

Sometimes your loops involve more than basic addition or multiplication. For
instance, you might add when a condition is met and subtract otherwise.

```ts
let x = 0; // Initialize x to 0
// Loop from 1 to n (inclusive)
for (let i = 1; i <= n; i++) {
  if (i % 2 === 0) {
    x += i; // Add i to x if i is even
  } else {
    x -= i; // Subtract i from x if i is odd
  }
}
```

Mathematics isn't left behind in this regard. It employs "piecewise" or "case"
notation to describe such complex operations:

$$
x = \begin{cases}
  x + i & \text{if $ i $ is even} \\
  x - i & \text{if $ i $ is odd}
\end{cases}, \quad \text{for $ i = 1, 2, \ldots, n $}
$$

**KaTeX Code:**

```katex
x = \begin{cases}
  x + i & \text{if $ i $ is even} \\
  x - i & \text{if $ i $ is odd}
\end{cases}, \quad \text{for $ i = 1, 2, \ldots, n $}
```

### KaTeX Legend

- $ x $: Our dynamically changing variable.
- $ \begin{cases} \end{cases} $: The mathematical equivalent of an `if-else`
  block.
- $ i $: Our loop counter, as always.
- $ n $: The loop's endpoint.


A Developer's Guide to Mathematical Notation


## Meals Breakdown

- **Each day you will be eating 5 meals**, with Meals 3 and 4 designated as pre
  and post-workout meals respectively.
- **Hydration:** Aim for **3-5L of water** throughout the day for optimal
  hydration.

---

### Supplements

| 💊 **Supplement**          | 🥄 **Serving Size** | ⏲ **Timing**   | 🔗 **Link**                                                                                                                                            |
| -------------------------- | ------------------- | -------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------ |
| 🐟 Fish Oil                | 1-2 capsules        | With Meal 1    | [Fish Oil](https://www.chemistwarehouse.com.au/buy/65960/blackmores-omega-triple-high-strength-fish-oil-150-capsules)                                  |
| 💤 Magnesium Chelate       | 1 capsule           | Before Bedtime | [Magnesium Chelate](https://www.chemistwarehouse.com.au/buy/112843/nature-s-own-magnesium-chelate-500mg-for-muscle-health-250-capsules-exclusive-size) |
| ☀️ Vitamin D               | 1 capsule           | With Meal 1    | [Vitamin D](https://www.chemistwarehouse.com.au/buy/64729/nature-s-own-vitamin-d-1000iu-for-bone-health-200-capsules)                                  |
| 🌙 ZMA                     | 1 capsule           | Before Bedtime | [ZMA](https://www.chemistwarehouse.com.au/buy/55196/musashi-zma-60-capsules)                                                                           |
| 🍖 High Strength Iron      | 1 tablet            | With Meal 2    | [High Strength Iron](https://www.chemistwarehouse.com.au/buy/107559/nature-s-way-high-strength-iron-30-tablets)                                        |
| 🍊 High Strength Vitamin C | 1 tablet            | With Meal 5    | [High Strength Vitamin C](https://www.chemistwarehouse.com.au/buy/76017/swisse-vitamin-c-1000mg-150-tablets)                                           |

---

### Meal 1: 7:30 AM (Breakfast)

| 🍴 **Ingredient**     | 🥄 **Serving size** |
| --------------------- | ------------------- |
| 🍞 English Muffins    | 2 Muffins           |
| 🍓 Coltees Jam        | 40g                 |
| 🥜 Bega Peanut Butter | 20g                 |
| 🍌 Banana             | 1 medium            |

---

### Pre-workout: 8:00 AM (Workout time) (Optional)

---

### Meal 2: 8:45 AM (Right after workout, before starting work)

| 🍴 **Ingredient**       | 🥄 **Serving size** |
| ----------------------- | ------------------- |
| 🥣 Coco Pops            | 100g                |
| 🥛 Full Cream Milk      | 250ml               |
| 🍼 Whey Protein Isolate | 40g                 |

---

### Meal 3 - 12:00 PM (During your break)

| 🍴 **Ingredient**                          | 🥄 **Serving size** |
| ------------------------------------------ | ------------------- |
| 🍗 Chicken Breast (Raw weight)             | 200g                |
| 🍚 Jasmine Rice (Cooked weight)            | 200g                |
| 🥦 Your choice of non-starch vegetables    | 100g                |
| 🫒 Olive Oil                               | 10g                 |
| 🧂 Pink Himalayan Salt or Iodised Sea Salt | 2-4 grinds          |

---

### Meal 4: 3:00 PM (During your break)

| 🍴 **Ingredient**                          | 🥄 **Serving size** |
| ------------------------------------------ | ------------------- |
| 🥯 Abe's Bagel                             | 1 serve             |
| 🧀 Reduced Fat Cream Cheese                | 25g                 |
| 🥚 Eggs                                    | 2 eggs              |
| 🍊 Orange Juice                            | 300ml               |
| 🧂 Pink Himalayan Salt or Iodised Sea Salt | 2-4 grinds          |

---

### Meal 5: 7:00 PM

| 🍴 **Ingredient**                          | 🥄 **Serving size** |
| ------------------------------------------ | ------------------- |
| 🥩 Beef Mince 95/5 (Raw weight)            | 200g                |
| 🍚 Jasmine Rice (Cooked weight)            | 200g                |
| 🥦 Your choice of non-starch vegetables    | 100g                |
| 🫒 Olive Oil                               | 10g                 |
| 🧂 Pink Himalayan Salt or Iodised Sea Salt | 2-4 grinds          |


Projects

A Developer's Guide to Mathematical Notation

Meal Plan

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