A number system is a way of representing numbers using a set of symbols and a base (radix).
Examples:
Decimal (base 10)
Binary (base 2)
Octal (base 8)
Hexadecimal (base 16
Digital computers use binary because:
Electronic circuits have two states: ON (1) and OFF (0)
Binary is reliable and easy to implement
Less error in data processing
Integer part:
10012=1×23+0×22+0×21+1×20=91001₂
A number system is a way of representing numbers using a set of symbols and a base (radix).
Examples:
Decimal (base 10)
Binary (base 2)
Octal (base 8)
Hexadecimal (base 16)
Digital computers use binary because:
Electronic circuits have two states: ON (1) and OFF (0)
Binary is reliable and easy to implement
Less error in data processing
As physical and hormonal changes peak, adolescents face critical health choices regarding nutrition and substance use. These issues are deeply interconnected with the brain development we discussed earlier—the struggle between a seeking "reward system" and a still-developing "control center."
1. Nutrition and Growth -The "growth spurt" in adolescence creates the highest nutritional demand of any life stage except infancy. * Nutrient Demands: The body requires massive increases in calcium (for bone
Adolescence is a profound transitional phase between childhood and adulthood, characterized by rapid biological, cognitive, and socio-emotional changes. It is often described as a period of "storm and stress" (as termed by G. Stanley Hall), though modern psychology views it more as a constructive period of identity formation.
1. The Nature of Adolescence -Adolescence is more than just physical growth; it is a total overhaul of the individual’s identity and capabilities.
* Duration: Typically spans
सिलेंडर के ऊपरी भाग को बंद करता है
इसमें वाल्व, स्पार्क प्लग / इंजेक्टर लगे होते हैं
दहन कक्ष का निर्माण करता है
गैस लीकेज रोकती हैं
ਪੰਜਾਬੀ ਵਿੱਚ ਸ਼ਬਦ ਰਚਨਾ (Word Formation) ਦੇ ਦੋ ਪ੍ਰਮੁੱਖ ਤਰੀਕੇ ਹਨ: ਅਗੇਤਰ ਅਤੇ ਪਿਛੇਤਰ। ਇਹਨਾਂ ਦੀ ਵਰਤੋਂ ਮੂਲ ਸ਼ਬਦਾਂ ਤੋਂ ਨਵੇਂ ਸ਼ਬਦ ਬਣਾਉਣ ਲਈ ਕੀਤੀ ਜਾਂਦੀ ਹੈ।
1. ਅਗੇਤਰ (Prefixes) -ਜਿਹੜੇ ਸ਼ਬਦ-ਅੰਸ਼ ਮੂਲ ਸ਼ਬਦ ਦੇ ਸ਼ੁਰੂ ਵਿੱਚ ਲੱਗ ਕੇ ਉਸ
ਧੁਨੀ ਬੋਧ (Phonology) ਅਤੇ ਅੱਖਰ ਬੋਧ (Orthography) ਪੰਜਾਬੀ ਵਿਆਕਰਨ ਦਾ ਪਹਿਲਾ ਅਤੇ ਮਹੱਤਵਪੂਰਨ ਭਾਗ ਹਨ। ਇਸ ਵਿੱਚ ਭਾਸ਼ਾ ਦੀਆਂ ਸਭ ਤੋਂ ਛੋਟੀਆਂ ਇਕਾਈਆਂ—ਧੁਨੀਆਂ ਅਤੇ ਉਹਨਾਂ ਨੂੰ ਲਿਖਣ ਲਈ ਵਰਤੇ ਜਾਂਦੇ ਚਿੰਨ੍ਹਾਂ (ਅੱਖਰਾਂ) ਬਾਰੇ ਜਾਣਕਾਰੀ ਮਿਲਦੀ
1. What are the factors influencing network design? (VTU – 10 Marks Answer)
Introduction: Supply chain network design involves decisions related to facility location, capacity, and market allocation. These decisions are strategic and long-term in nature and directly influence cost, responsiveness, and overall supply chain performance.
Factors Influencing Network Design: Strategic Factors: A firm’s competitive strategy strongly impacts network design. Cost leadership firms prefer low-cost locations,
1) Recurrences
1.1 10-mark: Solve T(n)=2T(n/2)+n, T(1)=c
T(n)=2T(n/2)+n
=4T(n/4)+2n
=8T(n/8)+3n
... after i steps: T(n)=2^i T(n/2^i) + i*n
Stop: n/2^i=1 => i=log2 n
T(n)=n*T(1) + n log2 n = n*c + n log2 n
=> T(n)=Theta(n log n)
1.2 Master theorem (write as-is)
T(n)=aT(n/b)+f(n), compare f(n) with n^{log_b a}
Case1: f(n)=O(n^{log_b a - eps}) => T(n)=Theta(n^{log_b a})
Case2: f(n)=Theta(n^{log_b a} log^k n) => T(n)=Theta(n^{log_b a} log^{k+1} n)
Case3: f(n)=Omega(n^{log_b a + eps}) and a f(n/b)