Notes, abstracts, papers, exams and problems

The Law of Conservation of Mass

Matter cannot be created or destroyed. The number of atoms in the reactants must be the same as the products. Atoms don't appear or disappear, they just rearrange. (Hence why you have to balance out chemical equations)

Balancing Equations

• The subscripts in the chemical formula cannot be changed (The little number beside a formula that is part of it).
• Use coefficients to balance.
• Coefficients multiply the entire compound by that number (4PO = 4P 4O).

Example: N₂+O₂>N₂O = 2N₂+O₂>2N₂O

Balancing Word Equations

• Determine what the reactants and the products are, convert names to chemical formulas. (Individual elements that are diatomic (molecular) will be, S₈, P₄, I₂, Br₂, Cl₂, F₂, O₂, N₂, H₂) If it's not diatomic just

Passive Voice

Present Simple

• Buy----is/are/am bought
• Is/are/am buying----is/are/am being bought

Past Simple

• Bought----was/were bought
• Was/Were buying ----was/were being bought

Present Perfect

• Have/has bought----Have/Has been bought
• Had bought----Had been bought

Future Simple

• Will buy----Will be bought
• Will be buying----will be being bought

Future Perfect

• Will have bought----Will have been bought

Going to Future

• Is/am/are going to buy----Is/am/are going to be bought

Conditional

• Would buy----Would be bought

Modal Verbs

• can/could/may/might/will/would/should/must/ought to/shall buy----Can... be bought
• Can... have bought----Can have been bought
• Have/Has to buy----Has/Have to be bought

Impersonal Passive

1. It+Passive verb+ That (sub sentence)
2. Subject+ Passive verb+ to (infinitive)

Sports and Success

English - Spanish

A - E

Astounding - asombroso

Award - prem

Balance - equilibrio

Championship - campeonato

Defeat - derrotar a

Drill - rutina de ejercicios

Eager - ansioso

F - J

Feat - hazaña

In good shape - en buena forma

Jump the gun - adelantarse a los acontecimientos

Keep fit - mantenerse en forma

L - P

Leap - saltar

Learn the ropes - aprender a hacer el trabajo

Move the goalpost - cambiar las reglas

On the ball - al tanto

Opponent - contrincante

R - U

Rank - clasificar

Reluctant - reacio

Role model - modelo a seguir

Runner up - subcampeon

Setback - revés

S - Z

Strike - pegar

Surpass - superar a

Take off - empezar a tener éxito

Teammate - compañero de equipo

Work one's way up - subir puestos

Work out - entrenar

Idioms and Expressions

A - E

Allowance... Continue reading "English-Spanish Vocabulary for Sports, Success, and Relationships" »

**Objectives of Oratory**

• Docere (to teach/logos)
• Delectare (to win over/ethos)
• Movere (to move/pathos)

**Invention**

Think about the context of the speech, research, and find examples.

**Disposition** (to order)

• Exordium (introduction): Captatio benevolentiae (ethos): capture interest
• Narratio (exposition of facts): basic information
• Partitio (exposition of points of agreement and disagreement): outline of the speech
• Confirmatio (exposition of arguments): body of the speech (logos)
• Reprehensio (refutation of other arguments)
• Conclusio: powerful ending

**Elocution**

Clear, simple, elegant. Three types of register:

• Simple (class)
• Medium (judgment)
• Elevated (meeting)

**Memory**

Memorize, use quotes, do not read.

**Action**

Voice, hand, body, clothing.

**Figures of

Recursive Binary Tree Traversals

Inorder Traversal:

void inorder(struct node *root)
{
  if(root != NULL)
  {
    inorder(root->left);
    printf("%d\t", root->data);
    inorder(root->right);
  }
}

Preorder Traversal:

void preorder(struct node *root)
{
  if(root != NULL)
  {
    printf("%d\t", root->data);
    preorder(root->left);
    preorder(root->right);
  }
}

Postorder Traversal:

void postorder(struct node *root)
{
  if(root != NULL)
  {
    postorder(root->left);
    postorder(root->right);
    printf("%d\t", root->data);
  }
}

Linked List Operations

Search

void search(struct node *head,int key)
{
  struct node *temp = head;
  while(temp != NULL)
  {
    if(temp->data == key)
      printf("key found");
    temp =

Structure of the Atom

Protons, Electrons, and Neutrons

Protons: Equal to the atomic number

Electrons: Equal to the atomic number

Neutrons: Equal to the atomic mass minus the atomic number

Bohr-Rutherford Diagram

Electron shells: 2, 8, 8, 18, 18, 32

Counting Atoms

Example 1: Na₂CO₃

• Sodium (Na): 2
• Carbon (C): 1
• Oxygen (O): 3

Example 2: 4Al₂(CO₃)₃

• Aluminum (Al): 4 x 2 = 8
• Carbon (C): 3 x 4 = 12
• Oxygen (O): 9 x 4 = 36
• Total: 56

Ions and Ionic Compounds

Ions are atoms that have either lost or gained electrons. While atoms are neutral, ions are charged particles.

Ionic Compounds are a combination of a cation (positive ion) and an anion (negative ion), typically formed between a metal and a nonmetal.

Example: Calcium Chloride (CaCl₂)

Calcium (Ca⁺²) has a charge of +2,... Continue reading "Structure of the Atom, Chemical Reactions, and Acids and Bases" »

SCR Construction

A thyristor, or SCR, consists of four P-N-P-N layers and has three PN junctions (J1, J2, J3) in series. It has three terminals: Anode, Cathode, and Gate. The Gate terminal is attached to the P-type layer near the Cathode terminal. The two-transistor model shows that an SCR is a combination of one PNP transistor and one NPN transistor.

The emitter of the PNP transistor is taken as the Anode terminal, the emitter of the NPN transistor is taken as the Cathode, and the base of the PNP is taken as the Gate terminal. The base of the PNP is connected to the collector of the NPN, and the collector of the PNP is connected to the base of the NPN transistor.

Advantages of SCRs:

• Easy to turn ON
• Can handle large voltage, current, and power
• Possible

Modal Verbs Exercises

Exercise 1: Rewrite the sentences using modal verbs.

1. It's forbidden to drive without fastening your seatbelt. You mustn't drive without fastening your seatbelt.
2. Perhaps they told John about the party. They might have told John about the party.
3. It isn't necessary for us to book a table. We needn't book a table.
4. It isn't necessary for her to phone me back. She needn't phone me back.
5. It was a mistake to sell the house. I wish I hadn't. I shouldn't have sold the house.
6. I'm sure he didn't lock the door. He couldn't have locked the door.
7. Perhaps John knew about the trip. He could have known about the trip.
8. You cannot smoke in the underground. You mustn't smoke in the underground.
9. I'm sure Ann didn't send that letter. Ann couldn't have

Robot Kinematics

Euler’s Rotation Theorem

Any rigid body motion that leaves one point fixed can be represented by a single rotation about an axis through the fixed point.

Chasles’ Theorem

Any rigid body motion is the translation of a designated point & a rotation of the whole body about that point.

Kinematic Parameters

These parameters are associated with the kinematic configuration of each link and joint of the robot arm. There are four main kinematic parameters:

Joint Parameters

The relative position and orientation of two successive links can be specified by two joint parameters:

• Joint Angle (θk): The amount of rotation about zk-1 so that Xk-1 is parallel to Xk.
• Joint Distance (dk): The amount of translation along the Zk-1 needed to make

Hedging with S&P 500 Index Futures

SIF hedging: NF = V_F(antiguo) = F_o x Z. NF (Number of contracts) = V_p (portfolio value) / (V_F x B_p) (Beta). With this hedge, risk is removed. If the index goes up, the profit in the portfolio will be offset by losses in SIFs contracts and vice versa.

Example: S&P 500 falls 5%:

• In the portfolio: R_p = B_p x (-5%) = -10% of a portfolio of $10M, resulting in $9M (Final Value).
• In the SIFS contracts: S_i = 980 (S&P 500 value given) x 0.95 (100% - 5%) = 931. F_i = 931 x (1 + 0.04 x 5/12 (next month timeframe)) = 946.52. V_F = NF x (F_i - F_o) x Z (250).
• Gain on futures: V_F(New) / Equity portfolio value.
• Outcome stock portfolio: 2 x (-5%) = -10%.
• Final Value portfolio: $10M - $1M + V_F(New).

Margin Payments

Margin payments... Continue reading "Hedging and Speculation with Futures and Options" »