Characteristics and components of Game Theory.
Game Theory : Mathematical framework for analyzing strategic decision-making situations where outcome depends on actions of multiple decision makers.
Characteristics: 1. Multiple Decision Makers:Called players, Each has conflicting interests, Rational decision makers
2. Strategies:Complete plan of action, Available alternatives for each player, Pure vs mixed strategies 3. Payoffs: Outcomes resulting from strategy combinations, Usually represented in
Perfect 👌 you want the full list of major probability distributions (used in computational statistics, ML, and data science).
Here’s a brief classification with examples:
1-step:
x+to=b⇒x=b-to,tox=b⇒x=b/tox + a = b \Rightarrow x = ba, \quad ax = b \Rightarrow x = b/ax+to=b⇒x=b-to ,to x=b⇒x=b / a2-step:
tox+b=c⇒x=(c-b)/toax + b = c \Rightarrow x = (cb)/ato x+b=c⇒x=( c-b ) / aBrackets:
Expand:to(b+c)=tob+toca(b+c) = ab + aca ( b+c )=ab+a c
Factorise:tob+toc=to(b+c)ab + ac = a(b+c)ab+a c=a ( b+c )
Fractions: Clear denominators first
Check: Substitute
Applications of Mobile Computing
1. Business and Office Work Mobile computing enables employees to work remotely using laptops, smartphones, and tablets connected via wireless networks. Examples: Accessing emails and business documents on the go. Video conferencing with tools like Zoom, Microsoft Teams. Benefits: Increased productivity, flexibility, and reduced need for physical offices. 2. Mobile Banking and Financial Services Banking services are accessible through mobile apps, allowing customers
a) Role and responsibilities of project manager
1) Planning and scheduling project activities. 2) Leading and coordinating the project team. 3) Managing budgets and controlling costs. 4) Ensuring project quality and safety. 5) Communicating with stakeholders. 6) Risk management and resolving issues. 7) Monitoring progress and reporting. 8) Ensuring timely completion and closure.
b) Groups and individuals that make up the project team
1) Project Manager 2) Process Engineers 3) Design Engineers 4)
वमन-विरेचन (संशोधन)
रहर्वभाग (मुखमार्ग) से दोषों का निर्हरण वमन तथा अधोभाग (गुदामार्ग) से दोषों का निर्धारण विरेचन गुदामार्ग कहलाता है।
प्रयोग :- कफ से होने वाले रोगों में वमन कराते हैं। पिन्त से
Explanations of Small-scale vs Large-scale risk aversion
Idea is understanding differences between small changes vs large changes in wealth in risky gambles.
Diminishing marginal utility (risk aversion) only works in large-scale gambles. This is because the utility function is sufficiently concave over lifetime changes in wealth. This yields a higher utility for taking the certain outcome than taking the gamble despite the gamble having a higher expected return
However, under small-scale gambles,
...1. Types of heads for pressure vessels
Hemispherical head
Torispherical (flanged and dished) head
Ellipsoidal (2:1 elliptical) head
Conical head
Flat head
2. Weld joint efficiency factor (E)
Indicates quality and reliability of welds in pressure vessels.
Ranges from 0.7 to 1.0 depending on joint type and inspection level.
3. Maximum Working Pressure (MWP) & Design Pressure
MWP: Highest internal pressure during normal operation.
Design Pressure: Higher than MWP (typically 5–10% more) to ensure